
Time bar (total: 4.9s)
| 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 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 357.0ms | 3 859× | 1 | valid |
| 215.0ms | 4 397× | 0 | valid |
ival-div: 188.0ms (48.1% of total)ival-add: 71.0ms (18.2% of total)adjust: 64.0ms (16.4% of total)ival-sub: 54.0ms (13.8% of total)ival-true: 6.0ms (1.5% of total)exact: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 57 | 1 | (2.9593905441283924e+161) | 1 | (45.83618791851557) | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) | cancellation | 57 | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 56 | 1 |
| - | 1 | 198 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 56 | 1 | 0 |
| - | 1 | 1 | 197 |
| number | freq |
|---|---|
| 0 | 199 |
| 1 | 57 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 252× | 1 | valid |
| 12.0ms | 260× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-div: 11.0ms (48.7% of total)adjust: 4.0ms (17.7% of total)ival-add: 4.0ms (17.7% of total)ival-sub: 3.0ms (13.3% 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 | 23 |
| 1 | 20 | 19 |
| 2 | 53 | 18 |
| 3 | 108 | 18 |
| 4 | 171 | 18 |
| 5 | 218 | 18 |
| 6 | 236 | 18 |
| 0 | 6 | 9 |
| 0 | 10 | 9 |
| 1 | 15 | 9 |
| 2 | 23 | 9 |
| 3 | 32 | 9 |
| 4 | 44 | 9 |
| 5 | 64 | 9 |
| 6 | 105 | 9 |
| 7 | 150 | 9 |
| 8 | 228 | 9 |
| 9 | 266 | 9 |
| 10 | 275 | 9 |
| 0 | 275 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
Compiled 9 to 6 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.1% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 22 |
| 0 | 10 | 22 |
| 1 | 15 | 22 |
| 2 | 23 | 22 |
| 3 | 32 | 22 |
| 4 | 44 | 22 |
| 5 | 64 | 22 |
| 6 | 105 | 22 |
| 7 | 150 | 22 |
| 8 | 228 | 22 |
| 9 | 266 | 22 |
| 10 | 275 | 22 |
| 0 | 275 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 12.10926476542389 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 12.0ms | 126× | 1 | valid |
| 6.0ms | 130× | 0 | valid |
Compiled 24 to 8 computations (66.7% saved)
ival-div: 5.0ms (45.2% of total)adjust: 2.0ms (18.1% of total)ival-add: 2.0ms (18.1% of total)ival-sub: 2.0ms (18.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 0.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 229 |
| 1 | 150 | 210 |
| 2 | 353 | 198 |
| 3 | 1026 | 194 |
| 4 | 3307 | 189 |
| 5 | 5373 | 188 |
| 6 | 6748 | 188 |
| 7 | 7554 | 188 |
| 0 | 8018 | 186 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
x |
(* x (+ 1 (/ 1 x))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 59 | 20 |
| 2 | 551 | 20 |
| 3 | 6035 | 20 |
| 0 | 9444 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -6 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (*.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) |
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))) |
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(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x)) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(fma.f64 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)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(expm1.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(expm1.f64 (log.f64 x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))) |
(-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x)))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (log1p.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 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 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 7 043 to 949 computations (86.5% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 8 | 342 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 334 | 9 | 343 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) | |
| ▶ | 99.9% | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
| ✓ | 81.1% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 46.7% | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| 46.5% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 54.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ▶ | 47.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 48.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| 46.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
Compiled 229 to 158 computations (31% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 1 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 1 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) | |
| cost-diff | 2 | (-.f64 x x) | |
| cost-diff | 2 | (-.f64 (-.f64 x x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 151 |
| 0 | 38 | 131 |
| 1 | 76 | 131 |
| 2 | 129 | 131 |
| 3 | 251 | 131 |
| 4 | 560 | 131 |
| 5 | 1393 | 131 |
| 6 | 2512 | 131 |
| 7 | 3198 | 131 |
| 8 | 3825 | 131 |
| 9 | 4568 | 131 |
| 10 | 5197 | 131 |
| 11 | 6079 | 131 |
| 12 | 6877 | 131 |
| 13 | 7868 | 131 |
| 0 | 8002 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(-.f64 x x) |
#s(literal 0 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 4.145106363440485 | (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 29.58070223083099 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 29.22129826599028 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 12.10926476542389 | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 34.66496285448798 | #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 33.149017146621674 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.0 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.015625 | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.08203125 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
| 84.0ms | 126× | 1 | valid |
| 18.0ms | 130× | 0 | valid |
Compiled 127 to 21 computations (83.5% saved)
ival-div: 66.0ms (77.5% of total)ival-sub: 6.0ms (7% of total)adjust: 5.0ms (5.9% of total)ival-pow: 4.0ms (4.7% of total)ival-add: 2.0ms (2.3% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
-1 |
0 |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(pow x 3) |
(- (* -1 x) 1) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((- (- x x) 1) (- x x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3) (/ (- (- x x) 1) (- -1 x)) (- -1 x)) |
| 2.0ms | x | @ | -inf | ((- (- x x) 1) (- x x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3) (/ (- (- x x) 1) (- -1 x)) (- -1 x)) |
| 1.0ms | x | @ | inf | ((- (- x x) 1) (- x x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (/ (- (- x x) 1) (- -1 x))) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (- 1 x) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (pow x 3)) (pow x 3) (/ (- (- x x) 1) (- -1 x)) (- -1 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 357 |
| 1 | 188 | 321 |
| 2 | 485 | 307 |
| 3 | 1319 | 303 |
| 4 | 4488 | 285 |
| 5 | 6415 | 285 |
| 6 | 7408 | 285 |
| 7 | 7923 | 285 |
| 0 | 8009 | 277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
0 |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(pow x 3) |
(- (* -1 x) 1) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
0 |
#s(literal 0 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ 1 (pow x 3)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 133 |
| 0 | 38 | 113 |
| 1 | 196 | 105 |
| 0 | 1359 | 101 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 x x) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
| Outputs |
|---|
#s(literal -1 binary64) |
#s(literal 0 binary64) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(pow.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) |
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (neg.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 x)) |
(neg.f64 (pow.f64 x #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) |
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(*.f64 (-.f64 (pow.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal -2 binary64))) (pow.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(neg.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 x)) |
Compiled 5 493 to 877 computations (84% saved)
10 alts after pruning (7 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 6 | 305 |
| Fresh | 2 | 1 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 304 | 10 | 314 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| ▶ | 99.6% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ✓ | 81.1% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 46.5% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 46.4% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
| ✓ | 54.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| 47.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) | |
| ▶ | 54.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 48.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| 54.3% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
Compiled 225 to 157 computations (30.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| cost-diff | 0 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 1 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 123 |
| 0 | 42 | 119 |
| 1 | 77 | 119 |
| 2 | 138 | 116 |
| 3 | 305 | 116 |
| 4 | 803 | 116 |
| 5 | 1564 | 116 |
| 6 | 2082 | 116 |
| 7 | 2462 | 116 |
| 8 | 2758 | 116 |
| 9 | 3934 | 116 |
| 10 | 5986 | 116 |
| 11 | 7347 | 116 |
| 12 | 7827 | 116 |
| 0 | 8091 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) x) |
x |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
x |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| accuracy | 34.325660310937906 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) | |
| accuracy | 0.0 | (fma.f64 x x x) | |
| accuracy | 0.22658429197006297 | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.281271791970063 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 29.22129826599028 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 12.10926476542389 | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 34.004171237806304 | #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 55.0ms | 126× | 1 | valid |
| 20.0ms | 130× | 0 | valid |
Compiled 107 to 25 computations (76.6% saved)
ival-div: 17.0ms (43.5% of total)ival-sub: 7.0ms (17.9% of total)adjust: 6.0ms (15.4% of total)ival-add: 4.0ms (10.2% of total)ival-mult: 4.0ms (10.2% of total)ival-neg: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(fma.f64 x x x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
| Outputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(- (* -1 x) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(pow x 2) |
x |
(* x (+ 1 x)) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | x | @ | -inf | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 (* x x)) (* x x) (/ -1 (+ (* x x) x)) (+ (* x x) x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x)) |
| 1.0ms | x | @ | inf | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 (* x x)) (* x x) (/ -1 (+ (* x x) x)) (+ (* x x) x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x)) |
| 1.0ms | x | @ | 0 | ((/ (/ 1 (- -1 x)) x) (/ 1 (- -1 x)) (- -1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (/ 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 (* x x)) (* x x) (/ -1 (+ (* x x) x)) (+ (* x x) x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (- 1 x) (- (/ -1 x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 420 |
| 1 | 237 | 378 |
| 2 | 660 | 358 |
| 3 | 2700 | 352 |
| 4 | 6673 | 334 |
| 0 | 8415 | 326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
(- x 1) |
(- (* x (+ 1 (* -1 x))) 1) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(- (* -1 x) 1) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(/ 1 x) |
(/ -1 (pow x 2)) |
(pow x 2) |
x |
(* x (+ 1 x)) |
(/ (- (* -1 (pow x 2)) 1) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (/ 1 x) 1) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(* -1 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(/ (- 1 (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(* x (- (/ 1 x) 1)) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(- (* x (+ 1 (* -1 x))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ (- (* -1 (pow x 2)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (+ 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) x) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) x) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 108 |
| 0 | 42 | 104 |
| 1 | 222 | 96 |
| 0 | 1565 | 96 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(fma.f64 x x x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (fma.f64 x x (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) |
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal -1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 x)) |
(*.f64 (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) x) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (fma.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))))) |
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(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 x))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(-.f64 (/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64))) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) x) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) x) |
(+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
Compiled 5 255 to 793 computations (84.9% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 4 | 268 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 266 | 12 | 278 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| ▶ | 82.5% | (/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
| ✓ | 99.6% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ✓ | 46.5% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 46.4% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
| ▶ | 54.3% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
| ▶ | 2.5% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 2.7% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
| ✓ | 54.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ▶ | 47.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
| ✓ | 54.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 48.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
Compiled 299 to 197 computations (34.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (neg.f64 (pow.f64 x #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 2 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 x x (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 1 | (/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) | |
| cost-diff | 5 | (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 204 |
| 0 | 50 | 199 |
| 1 | 105 | 189 |
| 2 | 228 | 171 |
| 3 | 600 | 171 |
| 4 | 1888 | 171 |
| 5 | 6780 | 171 |
| 0 | 8491 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(neg.f64 x) |
x |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) |
(fma.f64 x x (neg.f64 x)) |
x |
(neg.f64 x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(neg.f64 x) |
x |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) |
(fma.f64 x x (neg.f64 x)) |
x |
(neg.f64 x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
x |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.0 | (neg.f64 (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 29.22129826599028 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 4.145106363440485 | (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) | |
| accuracy | 29.58070223083099 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.0078125 | (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 28.4914637092956 | #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) | |
| accuracy | 34.325660310937906 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) | |
| accuracy | 0.0 | (fma.f64 x x (neg.f64 x)) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 28.54154591467676 | #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) | |
| accuracy | 34.325660310937906 | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) | |
| accuracy | 0.0 | (neg.f64 x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 0.22658429197006297 | (/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) | |
| accuracy | 31.171175721006527 | (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
| 52.0ms | 132× | 1 | valid |
| 23.0ms | 124× | 0 | valid |
Compiled 147 to 31 computations (78.9% saved)
ival-div: 16.0ms (28.5% of total)ival-sub: 10.0ms (17.8% of total)adjust: 8.0ms (14.2% of total)ival-mult: 8.0ms (14.2% of total)ival-add: 5.0ms (8.9% of total)ival-neg: 4.0ms (7.1% of total)ival-pow: 4.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(neg.f64 x) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) |
(fma.f64 x x (neg.f64 x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(*.f64 x x) |
| Outputs |
|---|
1 |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(* -1 x) |
-1 |
(- (* -1 x) 1) |
(* x (- x 1)) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(pow x 3) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* x (- (* -1 x) 1)) |
(pow x 2) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(* x (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | ((- (neg x) (- -1 x)) (/ (- (neg x) (- -1 x)) (* (- -1 x) x)) (neg x) (- -1 x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (neg x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (- 1 x)) (- 1 x) (* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (pow x -2)) (pow x -2) (* (- -1 x) x) (* x x)) |
| 2.0ms | x | @ | -inf | ((- (neg x) (- -1 x)) (/ (- (neg x) (- -1 x)) (* (- -1 x) x)) (neg x) (- -1 x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (neg x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (- 1 x)) (- 1 x) (* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (pow x -2)) (pow x -2) (* (- -1 x) x) (* x x)) |
| 2.0ms | x | @ | inf | ((- (neg x) (- -1 x)) (/ (- (neg x) (- -1 x)) (* (- -1 x) x)) (neg x) (- -1 x) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (neg x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (* (- 1 x) (- (/ -1 x) x)) (+ (* x x) (- 1 x)) (- 1 x) (* (* x x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (- 1 x) (* (* x x) x)) (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg (pow x -2)) (pow x -2) (* (- -1 x) x) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 237 |
| 1 | 195 | 223 |
| 2 | 576 | 207 |
| 3 | 2282 | 199 |
| 4 | 7704 | 199 |
| 0 | 8126 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(* -1 x) |
-1 |
(- (* -1 x) 1) |
(* x (- x 1)) |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(pow x 3) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* x (- (* -1 x) 1)) |
(pow x 2) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(* x (- (/ 1 x) 1)) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- x 1) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(* -1 x) |
(neg.f64 x) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(* x (- x 1)) |
(fma.f64 x x (neg.f64 x)) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 1 (pow x 3)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(pow x 2) |
(*.f64 x x) |
(/ (- (/ 1 x) 1) (pow x 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 190 |
| 0 | 50 | 169 |
| 1 | 262 | 157 |
| 0 | 2064 | 152 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(neg.f64 x) |
(-.f64 #s(literal -1 binary64) x) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x))) |
(fma.f64 x x (neg.f64 x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(*.f64 (*.f64 x x) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 x #s(literal -2 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(*.f64 x x) |
| Outputs |
|---|
#s(literal 1 binary64) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) |
(/.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x x) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 (/.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 x))) |
(/.f64 (-.f64 (neg.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 x x)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 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))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 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)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 x #s(literal 3 binary64))))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)) (fma.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64))) x) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (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) x) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3/2 binary64)) (neg.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(+.f64 (pow.f64 x #s(literal -3 binary64)) (neg.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
(neg.f64 (pow.f64 x #s(literal -2 binary64))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (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 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(*.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal -1 binary64) x))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 x (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 x))) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 9 036 to 1 176 computations (87% saved)
17 alts after pruning (5 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 377 | 5 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 377 | 17 | 394 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| ✓ | 82.5% | (/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
| ✓ | 99.6% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ✓ | 46.5% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 46.4% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
| ✓ | 54.3% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
| 2.5% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) | |
| ✓ | 2.5% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 2.7% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
| 2.7% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) | |
| 3.1% | #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) | |
| 15.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) | |
| 15.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x))) | |
| ✓ | 54.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ✓ | 47.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
| ✓ | 54.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 48.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
Compiled 766 to 310 computations (59.5% saved)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 x x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
2 calls:
| 7.0ms | x |
| 7.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
2 calls:
| 6.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
2 calls:
| 5.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | x |
| 97.3% | 3 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.2% | 1 | x |
| 48.2% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
Compiled 10 to 7 computations (30% saved)
Total -0.7b remaining (-1.1%)
Threshold costs -0.7b (-1.1%)
| Inputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (neg.f64 x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
2 calls:
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 3.1% | 1 | x |
Compiled 10 to 7 computations (30% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3161.6494930862837 |
| 0.0ms | -340.61396422660806 | -0.00046581124543810387 |
Compiled 12 to 10 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 3161.6494930862837 |
| 0.0ms | -340.61396422660806 | -0.00046581124543810387 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 162 |
| 1 | 93 | 161 |
| 2 | 179 | 159 |
| 3 | 508 | 153 |
| 4 | 1513 | 153 |
| 5 | 4545 | 153 |
| 6 | 7982 | 153 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -200 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -200 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -200 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -200 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64))) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -200 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))) |
(if (or (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -200 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) x)) |
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) #s(approx (* (- 1 x) (- (/ -1 x) x)) #s(approx (+ (* x x) (- 1 x)) (-.f64 #s(literal 1 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 420 |
| 1 | 237 | 378 |
| 2 | 660 | 358 |
| 3 | 2700 | 352 |
| 4 | 6673 | 334 |
| 0 | 8415 | 326 |
| 0 | 53 | 229 |
| 1 | 150 | 210 |
| 2 | 353 | 198 |
| 3 | 1026 | 194 |
| 4 | 3307 | 189 |
| 5 | 5373 | 188 |
| 6 | 6748 | 188 |
| 7 | 7554 | 188 |
| 0 | 8018 | 186 |
| 0 | 25 | 133 |
| 0 | 38 | 113 |
| 1 | 196 | 105 |
| 0 | 1359 | 101 |
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 59 | 20 |
| 2 | 551 | 20 |
| 3 | 6035 | 20 |
| 0 | 9444 | 18 |
| 0 | 68 | 357 |
| 1 | 188 | 321 |
| 2 | 485 | 307 |
| 3 | 1319 | 303 |
| 4 | 4488 | 285 |
| 5 | 6415 | 285 |
| 6 | 7408 | 285 |
| 7 | 7923 | 285 |
| 0 | 8009 | 277 |
| 0 | 66 | 237 |
| 1 | 195 | 223 |
| 2 | 576 | 207 |
| 3 | 2282 | 199 |
| 4 | 7704 | 199 |
| 0 | 8126 | 193 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 259 to 112 computations (56.8% saved)
Compiled 378 to 122 computations (67.7% saved)
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