2frac (problem 3.3.1)
Time bar (total: 5.0s)
| 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)
| 468.0ms | 3 771× | 1 | valid |
| 191.0ms | 4 485× | 0 | valid |
ival-div: 194.0ms (48.8% of total)ival-add: 76.0ms (19.1% of total)adjust: 62.0ms (15.6% of total)ival-sub: 50.0ms (12.6% of total)ival-true: 7.0ms (1.8% 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 | 67 | (1.0316539026300063e+239) | 0 | - | (-.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 | 124 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 57 | 0 |
| - | 67 | 132 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 57 | 0 | 0 |
| - | 67 | 0 | 132 |
| number | freq |
|---|---|
| 0 | 132 |
| 1 | 124 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 220× | 1 | valid |
| 17.0ms | 292× | 0 | valid |
Compiled 101 to 45 computations (55.4% saved)
ival-div: 11.0ms (48.4% of total)adjust: 4.0ms (17.6% of total)ival-add: 4.0ms (17.6% of total)ival-sub: 3.0ms (13.2% 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 | 169 | 18 |
| 5 | 212 | 18 |
| 6 | 226 | 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 | 147 | 9 |
| 8 | 213 | 9 |
| 9 | 247 | 9 |
| 10 | 256 | 9 |
| 0 | 256 | 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 |
|---|---|---|
| ▶ | 80.9% | (-.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 | 147 | 22 |
| 8 | 213 | 22 |
| 9 | 247 | 22 |
| 10 | 256 | 22 |
| 0 | 256 | 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 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 12.247282675605753 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| 11.0ms | 110× | 1 | valid |
| 7.0ms | 146× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-div: 5.0ms (46.3% of total)adjust: 2.0ms (18.5% of total)ival-add: 2.0ms (18.5% of total)ival-sub: 2.0ms (18.5% 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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x)) |
| 2.0ms | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 229 |
| 1 | 150 | 210 |
| 2 | 351 | 198 |
| 3 | 1021 | 194 |
| 4 | 3180 | 189 |
| 5 | 5278 | 188 |
| 6 | 6658 | 188 |
| 7 | 7477 | 188 |
| 8 | 7979 | 188 |
| 0 | 8014 | 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 | 6022 | 20 |
| 0 | 9428 | 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 (*.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 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (neg.f64 (log.f64 x))) |
Compiled 7 043 to 949 computations (86.5% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 333 | 9 | 342 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 334 | 9 | 343 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.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) |
| ▶ | 52.3% | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
| 52.3% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 50.0% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
| ▶ | 49.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| 40.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) | |
| ▶ | 53.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| 51.9% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))) |
Compiled 266 to 182 computations (31.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| cost-diff | 0 | #s(approx (- (/ 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 | 128 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 192 | (-.f64 x x) | |
| cost-diff | 192 | (-.f64 (-.f64 x x) #s(literal 1 binary64)) | |
| cost-diff | 512 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 192 |
| 0 | 43 | 172 |
| 1 | 84 | 172 |
| 2 | 154 | 172 |
| 3 | 329 | 172 |
| 4 | 845 | 172 |
| 5 | 2491 | 172 |
| 6 | 3529 | 172 |
| 7 | 4303 | 172 |
| 8 | 4707 | 172 |
| 9 | 5283 | 172 |
| 10 | 5996 | 172 |
| 11 | 7176 | 172 |
| 0 | 8225 | 169 |
| 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 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| 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 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) | |
| accuracy | 0.0546875 | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) | |
| accuracy | 0.0859375 | (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) | |
| accuracy | 31.937939034916674 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 #s(literal -1 binary64) x) x) | |
| accuracy | 32.26890432018526 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 12.247282675605753 | (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.875288252136297 | #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 29.691417942062987 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.05078125 | (/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
| 66.0ms | 110× | 1 | valid |
| 55.0ms | 146× | 0 | valid |
Compiled 354 to 51 computations (85.6% saved)
ival-div: 50.0ms (48.7% of total)ival-sub: 30.0ms (29.2% of total)adjust: 19.0ms (18.5% of total)ival-add: 2.0ms (1.9% of total)ival-neg: 1.0ms (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 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 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 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
| Outputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
-1 |
0 |
(- 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)) |
(/ (- x 1) (pow x 3)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/ (- x 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(- (* -1 x) 1) |
(/ -1 (pow x 4)) |
(/ (- x 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ (- (/ 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 (pow x 2)))) |
(* -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)))) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 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 (/ (/ (- 1 x) x) x)) x) (- -1 (/ (/ (- 1 x) x) x)) (/ (/ (- 1 x) x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (/ (/ (- -1 (/ (/ (- 1 x) x) x)) x) x)) |
| 2.0ms | x | @ | -inf | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 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 (/ (/ (- 1 x) x) x)) x) (- -1 (/ (/ (- 1 x) x) x)) (/ (/ (- 1 x) x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (/ (/ (- -1 (/ (/ (- 1 x) x) x)) x) x)) |
| 1.0ms | x | @ | inf | ((/ (neg (/ (- (- x x) 1) (- -1 x))) x) (- (- x x) 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 (/ (/ (- 1 x) x) x)) x) (- -1 (/ (/ (- 1 x) x) x)) (/ (/ (- 1 x) x) x) (/ (- (- x x) 1) (- -1 x)) (- -1 x) (/ (/ (- -1 (/ (/ (- 1 x) x) x)) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 445 |
| 1 | 211 | 407 |
| 2 | 542 | 385 |
| 3 | 1418 | 381 |
| 4 | 4469 | 363 |
| 5 | 6878 | 363 |
| 6 | 7901 | 363 |
| 0 | 8060 | 345 |
| 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 |
0 |
(- 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)) |
(/ (- x 1) (pow x 3)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/ (- x 1) (pow x 2)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(- (* -1 x) 1) |
(/ -1 (pow x 4)) |
(/ (- x 1) (pow x 4)) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/ (- (/ 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 (pow x 2)))) |
(* -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)))) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
| 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 #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)) |
-1 |
#s(literal -1 binary64) |
0 |
#s(literal 0 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 |
#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)) |
(/ (- x 1) (pow x 3)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- x 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2)) |
(-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(/ -1 (pow x 4)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (- x 1) (pow x 4)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (/ 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 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)))) |
(/ (- (/ 1 x) 1) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ (/ 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 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ 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) |
(/.f64 (-.f64 #s(literal 1 binary64) x) x) |
(- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)))) |
(* -1 (/ (- 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -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 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -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) |
(- (* -1 (/ (- (/ 1 x) 1) x)) 1) |
(-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 169 |
| 0 | 43 | 149 |
| 1 | 222 | 141 |
| 2 | 1762 | 141 |
| 0 | 9141 | 129 |
| 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) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 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 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) |
(-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 #s(literal -1 binary64) x) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x 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)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #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) (*.f64 x x)) #s(literal -1 binary64)) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #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 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #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))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #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 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (pow.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))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #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 #s(literal -1 binary64) x) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) |
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(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -3 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64))) (*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -3 binary64))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) (neg.f64 x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (neg.f64 (*.f64 x x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) x) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (neg.f64 (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (/.f64 x (expm1.f64 (neg.f64 (log.f64 x)))) #s(literal -3 binary64)) (fma.f64 (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x) (fma.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x)) x) x)) |
(-.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 x)))) |
(-.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) x)) |
(-.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (expm1.f64 (neg.f64 (log.f64 x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (neg.f64 (log.f64 x))) x))) x)) #s(literal -1 binary64))) |
Compiled 21 305 to 3 216 computations (84.9% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 6 | 852 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 852 | 9 | 861 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| ▶ | 43.0% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
| ▶ | 99.8% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ▶ | 52.3% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| 15.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) x)) | |
| ✓ | 49.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ▶ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 53.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| 49.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
Compiled 230 to 143 computations (37.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 64 | (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) | |
| cost-diff | 448 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) | |
| cost-diff | 704 | (*.f64 #s(literal 0 binary64) (fma.f64 x 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 | 512 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 119 |
| 0 | 36 | 102 |
| 1 | 70 | 101 |
| 2 | 117 | 101 |
| 3 | 206 | 98 |
| 4 | 379 | 98 |
| 5 | 781 | 98 |
| 6 | 1961 | 98 |
| 7 | 3316 | 98 |
| 8 | 4429 | 98 |
| 9 | 5070 | 98 |
| 10 | 5374 | 98 |
| 11 | 5754 | 98 |
| 12 | 7133 | 98 |
| 0 | 8012 | 98 |
| 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 |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) |
(*.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
#s(literal 0 binary64) |
(fma.f64 x x x) |
x |
(*.f64 x (fma.f64 x x x)) |
| 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)) |
(/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) |
#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 |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) |
(neg.f64 x) |
(*.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(fma.f64 x x x) |
x |
(*.f64 x (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) | |
| accuracy | 0.046875 | (*.f64 x (fma.f64 x x x)) | |
| accuracy | 16.98037380398618 | (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) | |
| accuracy | 19.300637146324956 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0.14260306667946884 | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.18166556667946884 | (/.f64 #s(literal -1 binary64) (*.f64 x x)) | |
| accuracy | 32.26890432018526 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 12.247282675605753 | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 30.51044199416253 | #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0.05078125 | (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x) |
| 28.0ms | 110× | 1 | valid |
| 20.0ms | 146× | 0 | valid |
Compiled 238 to 45 computations (81.1% saved)
ival-div: 17.0ms (50.7% of total)adjust: 4.0ms (11.9% of total)ival-mult: 4.0ms (11.9% of total)ival-sub: 4.0ms (11.9% of total)ival-add: 3.0ms (9% 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) |
(*.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) |
(*.f64 x (fma.f64 x 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)) |
0 |
(* -1 x) |
(* (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 (/ 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 3) |
(* (pow x 3) (+ 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)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) (* 0 (+ (* x x) x)) (/ (- (* 0 (+ (* x x) x)) x) (* x (+ (* x x) x))) (- (* 0 (+ (* x x) x)) x) (* x (+ (* x 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) (* 0 (+ (* x x) x)) (/ (- (* 0 (+ (* x x) x)) x) (* x (+ (* x x) x))) (- (* 0 (+ (* x x) x)) x) (* x (+ (* x 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) (* 0 (+ (* x x) x)) (/ (- (* 0 (+ (* x x) x)) x) (* x (+ (* x x) x))) (- (* 0 (+ (* x x) x)) x) (* x (+ (* x x) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 365 |
| 1 | 205 | 333 |
| 2 | 500 | 319 |
| 3 | 1861 | 305 |
| 4 | 5921 | 305 |
| 0 | 8196 | 296 |
| 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)) |
0 |
(* -1 x) |
(* (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 (/ 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 3) |
(* (pow x 3) (+ 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)) |
| 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 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) x) |
-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 (-.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 #s(literal -1 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
0 |
#s(literal 0 binary64) |
(* -1 x) |
(neg.f64 x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x 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 x #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) 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 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x) |
(* -1 (* x (+ 1 (/ 1 x)))) |
(-.f64 #s(literal -1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (-.f64 x #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))) |
(* -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 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x) |
(* -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 x (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 104 |
| 0 | 36 | 87 |
| 1 | 185 | 81 |
| 2 | 1440 | 81 |
| 0 | 9068 | 77 |
| 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) |
(*.f64 #s(literal 0 binary64) (fma.f64 x x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) |
(*.f64 x (fma.f64 x x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x x))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x x)) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -4 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 x) x)) x) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x 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 (/.f64 #s(literal -1 binary64) (fma.f64 x x #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 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 x #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) x)) |
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(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) x)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 x)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (neg.f64 x) x) x) |
(/.f64 (neg.f64 x) #s(literal 1 binary64)) |
(/.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 x) |
(fma.f64 (/.f64 x x) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (neg.f64 x) x) x #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 x x) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 x x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 x (/.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) x) |
(-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 (/.f64 #s(literal 0 binary64) x) (neg.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) x) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) |
(*.f64 (/.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(*.f64 (neg.f64 x) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) (neg.f64 x)) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 x (fma.f64 x x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x x) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x x) x))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) x)) (neg.f64 (fma.f64 x x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) x)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 x x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) x) (fma.f64 x x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) x) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (fma.f64 x x (neg.f64 x))) |
(/.f64 (*.f64 x (+.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 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 x x x) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (neg.f64 x)) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(neg.f64 (*.f64 (fma.f64 x x x) x)) |
(fma.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x)) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x x) x)) |
(-.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x x) x)) |
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
Compiled 30 284 to 3 875 computations (87.2% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 446 | 3 | 1 449 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 449 | 9 | 1 458 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.5% | (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
| ▶ | 69.8% | (/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
| ✓ | 99.8% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ✓ | 52.3% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 25.9% | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
| ✓ | 49.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ✓ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 53.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| ▶ | 49.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
Compiled 111 to 72 computations (35.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 x x x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 7040 | (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 448 | (/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x x x) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 7744 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) | |
| 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 (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 134 |
| 0 | 31 | 142 |
| 1 | 65 | 124 |
| 2 | 194 | 112 |
| 3 | 683 | 112 |
| 4 | 2199 | 112 |
| 5 | 3031 | 112 |
| 6 | 5121 | 112 |
| 0 | 8080 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 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) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(neg.f64 x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 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) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(neg.f64 x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 x x x) x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (fma.f64 x x x) x) x) | |
| accuracy | 46.2749670901148 | (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 x x x) x) | |
| accuracy | 19.300637146324956 | (/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 x x x) x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (fma.f64 x x x) x) x) | |
| accuracy | 0.08984375 | (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x)) | |
| accuracy | 46.61700535080447 | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) | |
| accuracy | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 0 | (neg.f64 (pow.f64 x #s(literal -2 binary64))) | |
| accuracy | 32.26890432018526 | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
| 53.0ms | 146× | 0 | valid |
| 26.0ms | 110× | 1 | valid |
Compiled 277 to 41 computations (85.2% saved)
ival-div: 35.0ms (61.1% of total)ival-mult: 7.0ms (12.2% of total)adjust: 4.0ms (7% of total)ival-add: 4.0ms (7% of total)ival-pow: 4.0ms (7% of total)ival-sub: 2.0ms (3.5% of total)ival-neg: 2.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (fma.f64 x x x) x) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(fma.f64 x x x) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
| Outputs |
|---|
(/ -1 x) |
(/ (- x 1) x) |
(/ (- (* x (+ 1 (* -1 x))) 1) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(/ -1 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
x |
(* x (+ 1 x)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* x (- x 1))) (pow x 3)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 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)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 1 (pow x 4)) |
(/ (- 1 (/ 1 x)) (pow x 4)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 4)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (+ 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 (/ 1 x)) x))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 4)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (neg (pow x -2)) (pow x -2) (* (* (neg x) x) (/ 1 (* (* (+ (* x x) x) x) x))) (* (neg x) x) (neg x) (* (+ (* x x) x) x) (/ (neg x) (* (+ (* x x) x) x)) (+ (* x x) x) (/ (* (neg x) x) (* (* (+ (* x x) x) x) x)) (/ 1 (* (* (+ (* x x) x) x) x)) (* (* (+ (* x x) x) x) x)) |
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 x)) (neg (pow x -2)) (pow x -2) (* (* (neg x) x) (/ 1 (* (* (+ (* x x) x) x) x))) (* (neg x) x) (neg x) (* (+ (* x x) x) x) (/ (neg x) (* (+ (* x x) x) x)) (+ (* x x) x) (/ (* (neg x) x) (* (* (+ (* x x) x) x) x)) (/ 1 (* (* (+ (* x x) x) x) x)) (* (* (+ (* x x) x) x) x)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 x)) (neg (pow x -2)) (pow x -2) (* (* (neg x) x) (/ 1 (* (* (+ (* x x) x) x) x))) (* (neg x) x) (neg x) (* (+ (* x x) x) x) (/ (neg x) (* (+ (* x x) x) x)) (+ (* x x) x) (/ (* (neg x) x) (* (* (+ (* x x) x) x) x)) (/ 1 (* (* (+ (* x x) x) x) x)) (* (* (+ (* x x) x) x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 301 |
| 1 | 203 | 281 |
| 2 | 486 | 267 |
| 3 | 1399 | 261 |
| 4 | 4643 | 256 |
| 0 | 8370 | 250 |
| 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 (pow x 2)) |
(/ 1 (pow x 2)) |
(* -1 (pow x 2)) |
(* -1 x) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
x |
(* x (+ 1 x)) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* -1 x)) (pow x 3)) |
(/ (+ 1 (* x (- x 1))) (pow x 3)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 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)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ 1 (pow x 4)) |
(/ (- 1 (/ 1 x)) (pow x 4)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 4)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 4)) |
(pow x 4) |
(* (pow x 4) (+ 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 (/ 1 x)) x))) (pow x 4)) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 4)) |
| 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 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
x |
(* x (+ 1 x)) |
(fma.f64 x 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))) |
(/ (+ 1 (* x (- x 1))) (pow x 3)) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 3)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/ (- (/ 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 (/.f64 #s(literal 1 binary64) x) x)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/ (- 1 (/ 1 x)) (pow x 4)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (+ 1 (/ 1 x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 1 binary64))) |
(/ (- (* -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 (/.f64 #s(literal 1 binary64) x) x)) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) (pow x 4)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 92 |
| 0 | 31 | 94 |
| 1 | 140 | 74 |
| 0 | 1042 | 74 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
(*.f64 (fma.f64 x x x) x) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(fma.f64 x x x) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
(*.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 (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 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 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
(*.f64 (*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 x)) x) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (neg.f64 x) (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (*.f64 x x))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (fma.f64 x x x))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) |
(*.f64 x (/.f64 (neg.f64 x) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 x (*.f64 (neg.f64 x) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (/.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) x) |
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) x) x) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) x)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x x x)) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (fma.f64 x x x) x)) |
(/.f64 (/.f64 (neg.f64 x) x) (fma.f64 x x x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)))) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(/.f64 x (*.f64 (*.f64 (/.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 x (*.f64 (fma.f64 x x x) (neg.f64 x))) |
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(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) x) |
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 x x x)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 x x x) x) x) |
(*.f64 (fma.f64 x x x) (/.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (*.f64 x x)) |
(*.f64 x (/.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (fma.f64 x x x) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (*.f64 x x)) (fma.f64 x x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x x)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
Compiled 5 269 to 726 computations (86.2% saved)
9 alts after pruning (0 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 314 | 0 | 314 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 314 | 9 | 323 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 26.5% | (/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
| ✓ | 69.8% | (/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
| ✓ | 99.8% | (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
| ✓ | 52.3% | (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 25.9% | (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
| ✓ | 49.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
| ✓ | 49.4% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
| ✓ | 53.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
| ✓ | 49.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) |
Compiled 380 to 145 computations (61.8% saved)
| Inputs |
|---|
#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)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.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) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (fma.f64 x x x) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) x) (*.f64 x (fma.f64 x x x))) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 x x x) x) x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 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:
| 6.0ms | x |
| 5.0ms | (-.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 (- (/ 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)) |
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x)) |
(/.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x)) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (fma.f64 x x x)) |
2 calls:
| 5.0ms | x |
| 3.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 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 (- (/ 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:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 98.4% | 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 (- (/ 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:
| 2.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 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)
Total -1.1b remaining (-3.8%)
Threshold costs -1.1b (-3.8%)
| Inputs |
|---|
#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:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 1 | x |
| 53.6% | 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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 284.4308839536175 |
| 0.0ms | -1.0144640337567838 | -2.0598992433036286e-8 |
Compiled 12 to 10 computations (16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 284.4308839536175 |
| 0.0ms | -1.0144640337567838 | -2.0598992433036286e-8 |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 152 |
| 1 | 43 | 152 |
| 2 | 55 | 152 |
| 3 | 61 | 152 |
| 4 | 67 | 152 |
| 1× | saturated |
| 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 -1 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 -1 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)) |
| Outputs |
|---|
(/.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 -1 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 -1 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 169 |
| 0 | 43 | 149 |
| 1 | 222 | 141 |
| 2 | 1762 | 141 |
| 0 | 9141 | 129 |
| 0 | 53 | 229 |
| 1 | 150 | 210 |
| 2 | 351 | 198 |
| 3 | 1021 | 194 |
| 4 | 3180 | 189 |
| 5 | 5278 | 188 |
| 6 | 6658 | 188 |
| 7 | 7477 | 188 |
| 8 | 7979 | 188 |
| 0 | 8014 | 186 |
| 0 | 6 | 20 |
| 0 | 10 | 20 |
| 1 | 59 | 20 |
| 2 | 551 | 20 |
| 3 | 6022 | 20 |
| 0 | 9428 | 18 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 238 to 94 computations (60.5% saved)
Compiled 336 to 92 computations (72.6% saved)
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