
Time bar (total: 4.5s)
| 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 9 to 8 computations (11.1% saved)
| 378.0ms | 3 984× | 1 | valid |
| 166.0ms | 4 272× | 0 | valid |
| 0.0ms | 9× | 0 | invalid |
ival-sqrt: 161.0ms (45.8% of total)ival-add: 66.0ms (18.8% of total)adjust: 63.0ms (17.9% of total)ival-sub: 49.0ms (13.9% of total)ival-true: 5.0ms (1.4% of total)exact: 4.0ms (1.1% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 0 | - | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) | cancellation | 127 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 127 | 0 |
| - | 0 | 129 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 127 | 0 | 0 |
| - | 0 | 0 | 129 |
| number | freq |
|---|---|
| 0 | 129 |
| 1 | 127 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 24.0ms | 252× | 1 | valid |
| 11.0ms | 260× | 0 | valid |
Compiled 47 to 22 computations (53.2% saved)
ival-sqrt: 10.0ms (46.7% of total)adjust: 4.0ms (18.7% of total)ival-add: 4.0ms (18.7% of total)ival-sub: 3.0ms (14% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 11 | 19 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 13 | 7 |
| 0 | 13 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.9% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 18 |
| 0 | 10 | 18 |
| 1 | 13 | 18 |
| 0 | 13 | 18 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.01171875 | (sqrt.f64 (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 30.141642257130265 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 11.0ms | 126× | 1 | valid |
| 5.0ms | 130× | 0 | valid |
Compiled 20 to 8 computations (60% saved)
ival-sqrt: 5.0ms (48.1% of total)adjust: 2.0ms (19.2% of total)ival-add: 2.0ms (19.2% of total)ival-sub: 2.0ms (19.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) (sqrt x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 451 |
| 1 | 331 | 393 |
| 2 | 1209 | 387 |
| 3 | 4903 | 387 |
| 0 | 8229 | 353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(+ 1 x) |
(sqrt x) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(sqrt x) |
(sqrt.f64 x) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 42 | 16 |
| 2 | 271 | 16 |
| 3 | 2932 | 16 |
| 0 | 9099 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(sqrt.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(sqrt.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) #s(literal 2 binary64))) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (pow.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (hypot.f64 (sqrt.f64 x) x) x) (-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (hypot.f64 (sqrt.f64 x) x)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (pow.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sinh.f64 (acosh.f64 x)) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sinh.f64 (acosh.f64 x))) (*.f64 (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (hypot.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (sinh.f64 (acosh.f64 (*.f64 x x))) (sinh.f64 (acosh.f64 x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(sin.f64 (acos.f64 x)) |
(cosh.f64 (asinh.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(cos.f64 (asin.f64 x)) |
(hypot.f64 (fabs.f64 (hypot.f64 (sqrt.f64 x) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (hypot.f64 (sqrt.f64 x) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (fabs.f64 (hypot.f64 (sqrt.f64 x) x))) |
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (hypot.f64 (sqrt.f64 x) x)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
Compiled 5 730 to 1 085 computations (81.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 7 | 306 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 299 | 8 | 307 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.9% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 52.8% | (-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
| ▶ | 52.1% | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ▶ | 3.5% | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
| ▶ | 50.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 52.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
| 49.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| 52.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
Compiled 181 to 146 computations (19.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (asinh.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (cosh.f64 (asinh.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | (-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 117 |
| 0 | 32 | 117 |
| 1 | 45 | 117 |
| 2 | 70 | 117 |
| 3 | 123 | 117 |
| 4 | 363 | 117 |
| 5 | 2123 | 117 |
| 6 | 5532 | 117 |
| 0 | 8442 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(literal 1/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
| Outputs |
|---|
(-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(literal 1/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
x |
#s(literal 1 binary64) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 30.141642257130265 | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) | |
| accuracy | 30.2360150092989 | #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) | |
| accuracy | 0.0 | (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 29.836362221759757 | #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) | |
| accuracy | 30.141642257130265 | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) | |
| accuracy | 30.637734578072354 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 30.141642257130265 | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) | |
| accuracy | 30.15625392809528 | #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.06640625 | (asinh.f64 (sqrt.f64 x)) | |
| accuracy | 2.5809732239547882 | (cosh.f64 (asinh.f64 (sqrt.f64 x))) | |
| accuracy | 30.141642257130265 | (-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
| 36.0ms | 126× | 1 | valid |
| 14.0ms | 130× | 0 | valid |
Compiled 93 to 16 computations (82.8% saved)
ival-cosh: 7.0ms (19.5% of total)ival-asinh: 6.0ms (16.7% of total)ival-sqrt: 6.0ms (16.7% of total)ival-sub: 6.0ms (16.7% of total)adjust: 5.0ms (13.9% of total)ival-add: 4.0ms (11.2% of total)ival-mult: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(sqrt x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* -1 (sqrt x)) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 5))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3))))) (sqrt (/ 1 x)))) |
(* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/32 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 6))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1/2 (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (+ (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))) (* 1/2 (/ (- (* -1/32 (/ (* (pow x 3) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 6))) (* -5/64 (/ (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))) (pow x 6)))))) |
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | 0 | ((- (cosh (asinh (sqrt x))) (sqrt x)) (cosh (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 x) (- 1 (sqrt x))) (- 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) |
| 5.0ms | x | @ | -inf | ((- (cosh (asinh (sqrt x))) (sqrt x)) (cosh (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 x) (- 1 (sqrt x))) (- 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) |
| 4.0ms | x | @ | inf | ((- (cosh (asinh (sqrt x))) (sqrt x)) (cosh (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (- (sqrt (+ x 1)) (sqrt x)) (+ (* 1/2 x) (- 1 (sqrt x))) (- 1 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 2307 |
| 1 | 872 | 1828 |
| 2 | 3455 | 1654 |
| 0 | 8500 | 1582 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(sqrt x) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* -1 (sqrt x)) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 5))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3))))) (sqrt (/ 1 x)))) |
(* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/32 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 6))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(* 1/2 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1/2 (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (+ (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))) (* 1/2 (/ (- (* -1/32 (/ (* (pow x 3) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 6))) (* -5/64 (/ (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))) (pow x 6)))))) |
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
| Outputs |
|---|
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) #s(literal 1/2 binary64)) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(sqrt x) |
(sqrt.f64 x) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) (/.f64 #s(literal 1/2 binary64) x) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (sqrt (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) x) (/.f64 #s(literal 1/4 binary64) x) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)))) x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 5))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3))))) (sqrt (/ 1 x)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) x) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/16 binary64)) x)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)))) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) x) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) x) (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/16 binary64)) x)) (pow.f64 x #s(literal 4 binary64)))))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 4))) (+ (* 1/2 (/ (- (* 1/32 (* (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 5/64 (/ (pow x 3) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 6))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1/16 binary64)) x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 5/128 binary64)) x)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 x (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) x) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x))) #s(literal 1/2 binary64)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/32 binary64) x)) x)) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (log.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)) |
(* x (- (/ 1 x) (sqrt (/ 1 x)))) |
(fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 x)) |
(* -1 (* x (- (* -1/2 (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) x) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 #s(literal -1/4 binary64) x) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) x) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))) x) (/.f64 #s(literal -1/4 binary64) x) (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
(* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))) x) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))) x))) |
(+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (+ (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))) (* 1/2 (/ (- (* -1/32 (/ (* (pow x 3) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 6))) (* -5/64 (/ (pow x 3) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 6))))) (pow x 6)))))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal -1/8 binary64) x) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal -1 binary64))) (/.f64 x (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))))) x) (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal 5/64 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) x)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)))) |
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2))))) |
(-.f64 (-.f64 (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) x)) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) |
(+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 x x))) (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) |
(+.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))))) (log.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) (neg.f64 x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) #s(literal -5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) (neg.f64 x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)) |
(* x (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x))) |
(fma.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 99 |
| 0 | 32 | 99 |
| 1 | 147 | 99 |
| 2 | 1157 | 95 |
| 0 | 8187 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
| Outputs |
|---|
(*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x))))) (*.f64 (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) |
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(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
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(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
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(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
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(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 x))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fabs.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
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(/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 #s(literal 2 binary64))) |
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(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
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(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) |
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
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(+.f64 (/.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 2 binary64))) |
(asinh.f64 (sqrt.f64 x)) |
(-.f64 (log.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
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(-.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) x)) (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(log.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) |
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(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 (asinh.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)))) (*.f64 (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) (+.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))))) (+.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (fma.f64 (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (*.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) x))) (neg.f64 (neg.f64 (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (*.f64 (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) x)) (*.f64 (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (*.f64 (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) x)) (neg.f64 (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) x) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) |
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 x (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (fma.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x) x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
(+.f64 (/.f64 (pow.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)))) |
#s(approx (sqrt (+ x 1)) (sqrt.f64 x)) |
Compiled 13 440 to 1 585 computations (88.2% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 5 | 446 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 442 | 12 | 454 |
| Status | Accuracy | Program |
|---|---|---|
| 52.2% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) | |
| ✓ | 52.9% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 52.1% | (-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 3.5% | (-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
| ▶ | 3.1% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 50.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 96.0% | (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
| ✓ | 52.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
| 49.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ▶ | 52.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
| ▶ | 52.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ▶ | 1.7% | #s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
Compiled 409 to 211 computations (48.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 1/2 binary64)) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) | |
| cost-diff | 1 | (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) | |
| cost-diff | 0 | #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (neg.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (asinh.f64 (sqrt.f64 x)) | |
| cost-diff | 0 | (neg.f64 (asinh.f64 (sqrt.f64 x))) | |
| cost-diff | 0 | (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 147 |
| 0 | 43 | 147 |
| 1 | 65 | 147 |
| 2 | 95 | 147 |
| 3 | 206 | 147 |
| 4 | 751 | 147 |
| 5 | 6995 | 147 |
| 0 | 9013 | 141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(neg.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
| Outputs |
|---|
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(neg.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x))) |
#s(literal 1 binary64) |
(-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) |
(sqrt.f64 x) |
x |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal 1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) | |
| accuracy | 0.09375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.201030572283297 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0234375 | (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 30.637734578072354 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 29.836362221759757 | #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) | |
| accuracy | 30.141642257130265 | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) | |
| accuracy | 30.76847586343694 | #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 (sqrt.f64 x)) | |
| accuracy | 62.9001747284879 | #s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0 | (neg.f64 (asinh.f64 (sqrt.f64 x))) | |
| accuracy | 0.06640625 | (asinh.f64 (sqrt.f64 x)) | |
| accuracy | 2.5695393608658303 | (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
| 48.0ms | 126× | 1 | valid |
| 28.0ms | 130× | 0 | valid |
Compiled 105 to 22 computations (79% saved)
ival-sqrt: 17.0ms (29.1% of total)ival-cosh: 7.0ms (12% of total)adjust: 6.0ms (10.3% of total)ival-asinh: 6.0ms (10.3% of total)ival-sub: 6.0ms (10.3% of total)ival-div: 4.0ms (6.9% of total)ival-exp: 4.0ms (6.9% of total)ival-add: 3.0ms (5.1% of total)ival-mult: 3.0ms (5.1% of total)ival-neg: 3.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(neg.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x)))))) |
(* -1 (log (+ (sqrt x) (sqrt (+ 1 x))))) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(sqrt x) |
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(* -1 (sqrt x)) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 x) |
(+ (sqrt x) (* -1/2 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -5/64 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 3))) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2)))))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x))))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x)))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3))))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 5))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3))))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 5/64 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 3) (pow (sqrt -1) 6)))) (+ (* 1/8 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2))))))) |
(* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) |
(- (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) |
(- (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2)))))) |
(- (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6))))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2)))))) |
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1/2 (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((exp (neg (asinh (sqrt x)))) (neg (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (cosh (asinh (sqrt x))) (sqrt x)) (neg (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt x) (* 1/2 x)) (- (sqrt (+ x 1)) (sqrt x)) (- 1 (- (sqrt x) (* 1/2 x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x)) |
| 4.0ms | x | @ | -inf | ((exp (neg (asinh (sqrt x)))) (neg (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (cosh (asinh (sqrt x))) (sqrt x)) (neg (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt x) (* 1/2 x)) (- (sqrt (+ x 1)) (sqrt x)) (- 1 (- (sqrt x) (* 1/2 x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x)) |
| 3.0ms | x | @ | inf | ((exp (neg (asinh (sqrt x)))) (neg (asinh (sqrt x))) (asinh (sqrt x)) (sqrt x) (- (cosh (asinh (sqrt x))) (sqrt x)) (neg (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ (* 1/2 x) 1) (* 1/2 x) (- (sqrt x) (* 1/2 x)) (- (sqrt (+ x 1)) (sqrt x)) (- 1 (- (sqrt x) (* 1/2 x))) (- (sqrt (+ x 1)) (sqrt x)) (* (sqrt (/ 1 x)) 1/2) (sqrt (/ 1 x)) (/ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 294 | 2068 |
| 1 | 918 | 1637 |
| 2 | 3673 | 1527 |
| 0 | 8783 | 1470 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x)))))) |
(* -1 (log (+ (sqrt x) (sqrt (+ 1 x))))) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(sqrt x) |
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(* -1 (sqrt x)) |
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(* 1/2 x) |
(+ (sqrt x) (* -1/2 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(sqrt (/ 1 x)) |
(/ 1 x) |
(exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -5/64 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 3))) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2)))))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x))))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x)))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3))))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3)))) (sqrt (/ 1 x)))) |
(* x (- (+ (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (+ (* 1/2 (/ (+ (* -1/16 (* (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/8 (/ (pow x 2) (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 5))) (* 1/2 (/ (- (* 1/4 (* x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) (* 1/4 (/ x (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))))) (pow x 3))))) (sqrt (/ 1 x)))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 1/8 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2)))))) |
(+ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (+ (* 5/64 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 3) (pow (sqrt -1) 6)))) (+ (* 1/8 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* (pow x 2) (pow (sqrt -1) 4)))) (* 1/4 (/ (exp (neg (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (* x (pow (sqrt -1) 2))))))) |
(* -1 (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) |
(- (* 1/4 (/ 1 (* x (pow (sqrt -1) 2)))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) |
(- (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2)))))) |
(- (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6))))) (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2)))))) |
(+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (* x (pow (sqrt -1) 2))))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (/ 3/32 (* (pow x 2) (pow (sqrt -1) 4)))) |
(- (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (+ (* -1 (log (/ -1 x))) (/ -1/4 (* x (pow (sqrt -1) 2))))) (+ (* 3/32 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* 5/96 (/ 1 (* (pow x 3) (pow (sqrt -1) 6)))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* (sqrt x) (pow (sqrt -1) 2)) |
(* -1 (* x (- (* -1/2 (/ (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2)))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (- (* -1 (/ (+ (* 1/2 (+ (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (/ 1 (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))))) (+ (* 1/2 (/ (+ (* -1/16 (/ (* (pow x 2) (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 4))) (* 1/8 (/ (pow x 2) (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 4))))) (pow x 4))) (* 1/2 (/ (- (* -1/4 (/ (* x (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x)))))) (pow (sqrt -1) 2))) (* -1/4 (/ x (* (exp (+ (log (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) (* -1 (log (/ -1 x))))) (pow (sqrt -1) 2))))) (pow x 2))))) x)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
| Outputs |
|---|
(exp (neg (log (+ (sqrt x) (sqrt (+ 1 x)))))) |
(pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64)) |
(* -1 (log (+ (sqrt x) (sqrt (+ 1 x))))) |
(neg.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))) |
(log (+ (sqrt x) (sqrt (+ 1 x)))) |
(log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) |
(sqrt x) |
(sqrt.f64 x) |
(- (* 1/2 (+ (sqrt x) (+ (sqrt (+ 1 x)) (/ 1 (+ (sqrt x) (sqrt (+ 1 x))))))) (sqrt x)) |
(-.f64 (*.f64 (+.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) (pow.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(* -1 (sqrt x)) |
(neg.f64 (sqrt.f64 x)) |
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(+ (sqrt x) (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(sqrt (/ 1 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(/ 1 x) |
(pow.f64 x #s(literal -1 binary64)) |
(exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64)) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x)) x) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2))))) |
(+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x))) x) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) |
(+ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (+ (* -1/4 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) x)) (+ (* -5/64 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 3))) (* 1/8 (/ (exp (neg (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))))) (pow x 2)))))) |
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -5/64 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x)) x) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x)) x)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) |
(neg.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))))) |
(* -1 (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x))))) |
(neg.f64 (+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x)))) |
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(- (* 3/32 (/ 1 (pow x 2))) (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3))))))) |
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) (-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 3 binary64))))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 x)))) |
(+.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (/ 1/4 x))) (* 3/32 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 3/32 binary64) x)) x)) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(- (+ (log (* 2 (sqrt (/ 1 x)))) (+ (* -1 (log (/ 1 x))) (+ (/ 1/4 x) (* 5/96 (/ 1 (pow x 3)))))) (* 3/32 (/ 1 (pow x 2)))) |
(+.f64 (-.f64 (-.f64 (-.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 3/32 binary64) (*.f64 x x))) (log.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) |
(* x (- (* 1/2 (/ (+ (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))) (/ 1 (exp (+ (log (* 2 (sqrt (/ 1 x)))) (* -1 (log (/ 1 x))))))) x)) (sqrt (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) x) |
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(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64))))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (neg.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))))) x) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) x) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) x #s(literal 1 binary64)) |
(* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 128 |
| 0 | 43 | 128 |
| 1 | 154 | 117 |
| 2 | 1049 | 117 |
| 0 | 8150 | 111 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(neg.f64 (asinh.f64 (sqrt.f64 x))) |
(asinh.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(neg.f64 (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
(-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (fma.f64 (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 x (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (*.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) x)) (pow.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3/2 binary64)))) (*.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (acosh.f64 x)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (acosh.f64 x)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))) (*.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (asinh.f64 (sqrt.f64 x)))) |
(fma.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 x))) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 x (exp.f64 (asinh.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) |
(exp.f64 (*.f64 (asinh.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))))) (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (asinh.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (exp.f64 (asinh.f64 (sqrt.f64 x))))) |
(+.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) |
(asinh.f64 (neg.f64 (sqrt.f64 x))) |
(*.f64 #s(literal -1 binary64) (asinh.f64 (sqrt.f64 x))) |
(neg.f64 (asinh.f64 (sqrt.f64 x))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (log.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (log.f64 (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (asinh.f64 (sqrt.f64 x))) |
(log.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))) |
(asinh.f64 (sqrt.f64 x)) |
(neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) |
(-.f64 (log.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (log.f64 (+.f64 x (-.f64 (+.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x (sqrt.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(-.f64 #s(literal 0 binary64) (asinh.f64 (neg.f64 (sqrt.f64 x)))) |
(log.f64 (exp.f64 (asinh.f64 (sqrt.f64 x)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) |
(sinh.f64 (asinh.f64 (sqrt.f64 x))) |
(sqrt.f64 x) |
(-.f64 (/.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) #s(literal 2 binary64)) (/.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 x))) |
(fabs.f64 (sqrt.f64 x)) |
(exp.f64 (log.f64 (sqrt.f64 x))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) |
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x))) |
(+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(+.f64 (pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x))) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x))) (+.f64 (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (neg.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/2 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 (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 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 x #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 x #s(literal -1/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1/2 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x)))) |
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(sqrt.f64 (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (pow.f64 x #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 x)))) |
(exp.f64 (/.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) x) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
(+.f64 (cosh.f64 (neg.f64 (log.f64 x))) (sinh.f64 (neg.f64 (log.f64 x)))) |
Compiled 11 276 to 1 684 computations (85.1% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 3 | 449 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 3 | 2 | 5 |
| Total | 452 | 9 | 461 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.4% | (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
| ✓ | 52.9% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 3.1% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 50.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| ▶ | 49.8% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| ▶ | 52.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ▶ | 52.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
| ✓ | 52.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ✓ | 1.7% | #s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
Compiled 119 to 94 computations (21% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 4 | (-.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | (sqrt.f64 x) | |
| cost-diff | 0 | (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 152 |
| 0 | 44 | 152 |
| 1 | 65 | 152 |
| 2 | 103 | 144 |
| 3 | 159 | 144 |
| 4 | 234 | 144 |
| 5 | 329 | 144 |
| 6 | 394 | 144 |
| 7 | 403 | 144 |
| 8 | 407 | 144 |
| 9 | 414 | 144 |
| 10 | 423 | 144 |
| 11 | 453 | 144 |
| 12 | 494 | 144 |
| 13 | 660 | 144 |
| 14 | 1595 | 144 |
| 15 | 2817 | 144 |
| 16 | 3802 | 144 |
| 17 | 5129 | 144 |
| 18 | 7136 | 144 |
| 0 | 8262 | 144 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) |
x |
#s(literal -1/2 binary64) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (+.f64 #s(literal 1 binary64) x)) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) |
(fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) |
x |
#s(literal -1/2 binary64) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
x |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/8 binary64) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(literal 1/2 binary64) |
(sqrt.f64 x) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 x (+.f64 #s(literal 1 binary64) x)) |
#s(literal -1 binary64) |
x |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(neg.f64 (sqrt.f64 x)) |
(sqrt.f64 x) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) | |
| accuracy | 0.01171875 | (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.1640625 | (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 30.038379739407947 | (-.f64 x (+.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.015625 | (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.09375 | (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.20703125 | (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) | |
| accuracy | 31.990623397764658 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.25390625 | (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) | |
| accuracy | 30.201030572283297 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) | |
| accuracy | 0.0 | (sqrt.f64 x) | |
| accuracy | 0.0234375 | (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) | |
| accuracy | 30.637734578072354 | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
| 59.0ms | 126× | 1 | valid |
| 20.0ms | 130× | 0 | valid |
Compiled 132 to 27 computations (79.5% saved)
ival-neg: 17.0ms (28.9% of total)ival-sqrt: 9.0ms (15.3% of total)ival-div: 8.0ms (13.6% of total)ival-add: 7.0ms (11.9% of total)adjust: 6.0ms (10.2% of total)ival-sub: 6.0ms (10.2% of total)ival-mult: 5.0ms (8.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(sqrt x) |
(+ (sqrt x) (* -1/2 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* -1/8 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(sqrt (/ 1 x)) |
-1 |
(/ 1 (+ 1 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
1 |
(+ 1 x) |
(* -1 (+ 1 (sqrt x))) |
(- (* -1/2 x) (+ 1 (sqrt x))) |
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x))) |
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* -2 (sqrt x)) |
(* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (- (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (- (* -1/16 (sqrt (/ 1 (pow x 7)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(* 2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | inf | ((- (sqrt (+ x 1)) (sqrt x)) (- 1 (+ (* x -1/2) (sqrt x))) (+ (* x -1/2) (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (- x (+ 1 x)) (/ (- x (+ 1 x)) (- (neg (sqrt x)) (sqrt (+ 1 x)))) (+ 1 x) (- (neg (sqrt x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) |
| 4.0ms | x | @ | -inf | ((- (sqrt (+ x 1)) (sqrt x)) (- 1 (+ (* x -1/2) (sqrt x))) (+ (* x -1/2) (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (- x (+ 1 x)) (/ (- x (+ 1 x)) (- (neg (sqrt x)) (sqrt (+ 1 x)))) (+ 1 x) (- (neg (sqrt x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) |
| 4.0ms | x | @ | 0 | ((- (sqrt (+ x 1)) (sqrt x)) (- 1 (+ (* x -1/2) (sqrt x))) (+ (* x -1/2) (sqrt x)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (sqrt x)) (- (sqrt (+ x 1)) (sqrt x)) (/ (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) x) (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (sqrt (/ 1 x)) (- x (+ 1 x)) (/ (- x (+ 1 x)) (- (neg (sqrt x)) (sqrt (+ 1 x)))) (+ 1 x) (- (neg (sqrt x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 254 | 1210 |
| 1 | 774 | 1068 |
| 2 | 2949 | 1040 |
| 0 | 8838 | 970 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (sqrt x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(sqrt x) |
(+ (sqrt x) (* -1/2 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(* -1/8 (sqrt (/ 1 x))) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(sqrt (/ 1 x)) |
-1 |
(/ 1 (+ 1 (sqrt x))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
1 |
(+ 1 x) |
(* -1 (+ 1 (sqrt x))) |
(- (* -1/2 x) (+ 1 (sqrt x))) |
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x))) |
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x))) |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(* 1/2 (sqrt x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(* -2 (sqrt x)) |
(* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(* x (- (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(* x (- (* -1/16 (sqrt (/ 1 (pow x 7)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(* -1/2 (sqrt (/ 1 x))) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(* 2 (* (sqrt x) (pow (sqrt -1) 2))) |
(* -1 (* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(* -1 (* x (- (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
| Outputs |
|---|
(- 1 (sqrt x)) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 x)) |
(- (+ 1 (* 1/2 x)) (sqrt x)) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* -1/8 x)))) (sqrt x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(- (+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) (sqrt x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) |
(sqrt x) |
(sqrt.f64 x) |
(+ (sqrt x) (* -1/2 x)) |
(fma.f64 #s(literal -1/2 binary64) x (sqrt.f64 x)) |
(* 1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(* -1/8 (sqrt (/ 1 (pow x 3)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64)) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) (pow x 2)) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) (*.f64 x x)) |
(* -1/8 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64)) |
(/ (+ (* -1/8 (sqrt x)) (* 1/2 (sqrt (pow x 3)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x) |
(sqrt (/ 1 x)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
-1 |
#s(literal -1 binary64) |
(/ 1 (+ 1 (sqrt x))) |
(/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* -1/2 (/ x (pow (+ 1 (sqrt x)) 2))) (/ 1 (+ 1 (sqrt x)))) |
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) |
(+ (* x (- (* x (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) x (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (sqrt x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))) (+ 1 (sqrt x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (sqrt x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (sqrt x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (sqrt x)) 2))))) (/ 1 (+ 1 (sqrt x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/16 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 1/8 binary64)) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(* -1 (+ 1 (sqrt x))) |
(-.f64 #s(literal -1 binary64) (sqrt.f64 x)) |
(- (* -1/2 x) (+ 1 (sqrt x))) |
(-.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (* x (- (* 1/8 x) 1/2)) (+ 1 (sqrt x))) |
(-.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(- (* x (- (* x (+ 1/8 (* -1/16 x))) 1/2)) (+ 1 (sqrt x))) |
(-.f64 (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/16 binary64) x #s(literal 1/8 binary64)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (sqrt.f64 x)) |
(+ 1 (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* -1/8 x)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/16 x) 1/8))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt x))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(/ (+ (* -1/8 (sqrt (/ 1 x))) (+ (* -5/128 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -5/128 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
(* x (- 1/2 (sqrt (/ 1 x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (- (+ 1/2 (/ 1 x)) (sqrt (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)) |
(* x (- (sqrt (/ 1 x)) 1/2)) |
(*.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x) |
(+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(* 1/2 (sqrt x)) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* x (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x) |
(/ (- (+ (* 1/16 (sqrt (/ 1 (pow x 3)))) (* 1/2 (sqrt x))) (* 1/8 (sqrt (/ 1 x)))) x) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) x) |
(/ (- (+ (* -1 (/ (+ (* 1/128 (sqrt (pow x 7))) (* 1/32 (sqrt (pow x 7)))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (sqrt (/ 1 (pow x 3)))) (* 1/8 (sqrt (/ 1 x))))) x) |
(/.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (neg.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* -2 (sqrt x)) |
(*.f64 #s(literal -2 binary64) (sqrt.f64 x)) |
(* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))) x) |
(* x (- (* 1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))) x) |
(* x (- (* -1/16 (sqrt (/ 1 (pow x 7)))) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (sqrt (/ 1 x))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))) x) |
(* x (+ (sqrt (/ 1 x)) (* 1/2 (sqrt (/ 1 (pow x 3)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 3))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (sqrt (/ 1 (pow x 5)))) (+ (* 1/16 (sqrt (/ 1 (pow x 7)))) (* 1/2 (sqrt (/ 1 (pow x 3)))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
(* -1/2 (sqrt (/ 1 x))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (* 1/2 (sqrt x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x)))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x) |
(* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))) (+ (* -5/128 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 6)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))))) x)) |
(/.f64 (fma.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x) |
(* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* x (+ 1/2 (+ (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x #s(literal 1 binary64)) |
(* -1 (* x (+ 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) x) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(sqrt.f64 x) |
(* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
(* -1 (* x (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) x) |
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2)) |
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (- (+ (* 1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/2 (sqrt x))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2))))) x)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) x) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/128 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6)))) (* 1/32 (* (sqrt (pow x 7)) (/ 1 (pow (sqrt -1) 6))))) (pow x 6))) (* 1/2 (sqrt x))) (+ (* -1/16 (* (sqrt (/ 1 (pow x 3))) (/ 1 (pow (sqrt -1) 4)))) (* 1/8 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt -1) 2)))))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (pow.f64 x #s(literal 7 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal 5/128 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))) x) |
(* 2 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f64 #s(literal -2 binary64) (sqrt.f64 x)) |
(* -1 (* x (- (* -1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) x) |
(* -1 (* x (- (* 1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (neg.f64 x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64))))) |
(* -1 (* x (- (* -1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* 2 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64)))))) |
(* -1 (* x (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) |
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow x 3)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal -1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 125 |
| 0 | 44 | 125 |
| 1 | 174 | 115 |
| 2 | 1330 | 115 |
| 0 | 8341 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x))) |
(fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)) |
(sqrt.f64 x) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) x)) |
(-.f64 x (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)))) |
(/.f64 (-.f64 (*.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (*.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (*.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) |
(/.f64 (neg.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (/.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 (sqrt.f64 x) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (/.f64 (sqrt.f64 x) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (/.f64 x (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(fma.f64 (/.f64 x (/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (-.f64 x x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) x) x)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (+.f64 #s(literal 1 binary64) x) x) (*.f64 x x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (hypot.f64 (sqrt.f64 x) x)) x))) |
(-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(+.f64 (/.f64 x (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))) |
(*.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (sinh.f64 (acosh.f64 x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sin.f64 (acos.f64 x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fabs.f64 (sinh.f64 (acosh.f64 x))) (fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (fabs.f64 (sin.f64 (acos.f64 x))) (fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fabs.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (fabs.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64))))) (fabs.f64 (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sinh.f64 (acosh.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (sin.f64 (acos.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 x #s(literal 3/2 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(cosh.f64 (asinh.f64 (neg.f64 (neg.f64 (sqrt.f64 x))))) |
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) |
(cosh.f64 (asinh.f64 (sqrt.f64 x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)))) |
Compiled 22 242 to 2 964 computations (86.7% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 2 | 745 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 5 | 5 |
| Total | 745 | 9 | 754 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 #s(approx (- x (+ 1 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 52.9% | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| ✓ | 3.1% | (-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| ✓ | 50.3% | (-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
| 52.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) | |
| ✓ | 52.6% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
| ✓ | 52.1% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
| ✓ | 52.7% | #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
| ✓ | 1.7% | #s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
Compiled 448 to 189 computations (57.8% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
(/.f64 #s(approx (- x (+ 1 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x)))) |
(-.f64 (cosh.f64 (asinh.f64 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) (exp.f64 (asinh.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) x))))) |
| Outputs |
|---|
(/.f64 #s(approx (- x (+ 1 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.7% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 6.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.7% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(approx (+ (* (sqrt (/ 1 x)) -1/8) (* 1/2 (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.2% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) (sqrt.f64 x)) (sqrt.f64 x)) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 99.1% | 2 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (fma.f64 #s(literal 1/2 binary64) x (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) (sqrt.f64 x)) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 52.1% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x)) |
| Outputs |
|---|
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | x |
| 50.3% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
Compiled 8 to 7 computations (12.5% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 1.7% | 1 | (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) |
| 1.7% | 1 | x |
Compiled 8 to 7 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 242.41027742393683 | 12624764391.318132 |
| 6.0ms | 144× | 0 | valid |
Compiled 199 to 190 computations (4.5% saved)
ival-sqrt: 2.0ms (61.4% of total)ival-sub: 1.0ms (30.7% of total)ival-add: 1.0ms (30.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 5.533168566548784e-9 | 12.599364502480608 |
| 6.0ms | 144× | 0 | valid |
Compiled 271 to 244 computations (10% saved)
ival-sqrt: 2.0ms (62.9% of total)ival-sub: 1.0ms (31.5% of total)ival-add: 1.0ms (31.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.533168566548784e-9 | 12.599364502480608 |
Compiled 253 to 226 computations (10.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 140 |
| 1 | 63 | 140 |
| 2 | 86 | 138 |
| 3 | 133 | 137 |
| 4 | 376 | 137 |
| 5 | 2253 | 137 |
| 6 | 7580 | 137 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 #s(approx (- x (+ 1 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 60000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
| Outputs |
|---|
(/.f64 #s(approx (- x (+ 1 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 x #s(literal 60000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 60000000 binary64)) (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) #s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))) |
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (sqrt.f64 x)))) |
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x)) |
#s(approx (- (cosh (asinh (sqrt x))) (sqrt x)) (neg.f64 (sqrt.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 286 | 2307 |
| 1 | 872 | 1828 |
| 2 | 3455 | 1654 |
| 0 | 8500 | 1582 |
| 0 | 29 | 128 |
| 0 | 43 | 128 |
| 1 | 154 | 117 |
| 2 | 1049 | 117 |
| 0 | 8150 | 111 |
| 0 | 6 | 16 |
| 0 | 10 | 16 |
| 1 | 42 | 16 |
| 2 | 271 | 16 |
| 3 | 2932 | 16 |
| 0 | 9099 | 16 |
| 0 | 113 | 451 |
| 1 | 331 | 393 |
| 2 | 1209 | 387 |
| 3 | 4903 | 387 |
| 0 | 8229 | 353 |
| 0 | 21 | 99 |
| 0 | 32 | 99 |
| 1 | 147 | 99 |
| 2 | 1157 | 95 |
| 0 | 8187 | 95 |
| 0 | 254 | 1210 |
| 1 | 774 | 1068 |
| 2 | 2949 | 1040 |
| 0 | 8838 | 970 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 348 to 212 computations (39.1% saved)
Compiled 312 to 112 computations (64.1% saved)
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