
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 1 |
| 50% | 25% | 25% | 50% | 0% | 0% | 0% | 2 |
| 75% | 37.5% | 12.5% | 50% | 0% | 0% | 0% | 3 |
| 87.5% | 43.8% | 6.3% | 50% | 0% | 0% | 0% | 4 |
| 93.8% | 46.9% | 3.1% | 50% | 0% | 0% | 0% | 5 |
| 96.9% | 48.4% | 1.6% | 50% | 0% | 0% | 0% | 6 |
| 98.4% | 49.2% | 0.8% | 50% | 0% | 0% | 0% | 7 |
| 99.2% | 49.6% | 0.4% | 50% | 0% | 0% | 0% | 8 |
| 99.6% | 49.8% | 0.2% | 50% | 0% | 0% | 0% | 9 |
| 99.8% | 49.9% | 0.1% | 50% | 0% | 0% | 0% | 10 |
| 99.9% | 50% | 0% | 50% | 0% | 0% | 0% | 11 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 12 |
Compiled 20 to 13 computations (35% saved)
| 1.0s | 7 312× | 1 | valid |
| 290.0ms | 442× | 0 | valid |
| 101.0ms | 502× | 2 | valid |
ival-div: 595.0ms (48.9% of total)adjust: 222.0ms (18.2% of total)ival-add: 152.0ms (12.5% of total)ival-sub: 144.0ms (11.8% of total)ival-fabs: 66.0ms (5.4% of total)ival->: 26.0ms (2.1% of total)exact: 9.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 92 | 1 | (-19.402140782770836) | 0 | - | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.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) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) x) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 93 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 92 | 0 |
| - | 1 | 163 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 92 | 0 | 0 |
| - | 1 | 0 | 163 |
| number | freq |
|---|---|
| 0 | 163 |
| 1 | 93 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 456× | 1 | valid |
| 4.0ms | 20× | 2 | valid |
| 2.0ms | 36× | 0 | valid |
Compiled 157 to 44 computations (72% saved)
ival-div: 20.0ms (33.3% of total)adjust: 16.0ms (26.6% of total)ival-add: 14.0ms (23.3% of total)ival-sub: 9.0ms (15% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 1 | 32 | 32 |
| 2 | 87 | 30 |
| 3 | 223 | 30 |
| 4 | 437 | 30 |
| 5 | 544 | 30 |
| 6 | 577 | 30 |
| 7 | 582 | 30 |
| 0 | 10 | 15 |
| 0 | 17 | 15 |
| 1 | 28 | 15 |
| 2 | 46 | 15 |
| 3 | 74 | 15 |
| 4 | 134 | 15 |
| 5 | 248 | 15 |
| 6 | 389 | 15 |
| 7 | 499 | 15 |
| 8 | 546 | 15 |
| 0 | 546 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(negabs x)
Compiled 15 to 10 computations (33.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.5% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 2 binary64) x)) | |
| cost-diff | 0 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 46 |
| 0 | 17 | 46 |
| 1 | 28 | 46 |
| 2 | 46 | 46 |
| 3 | 74 | 46 |
| 4 | 134 | 46 |
| 5 | 248 | 46 |
| 6 | 389 | 46 |
| 7 | 499 | 46 |
| 8 | 546 | 46 |
| 0 | 546 | 46 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 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 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (-.f64 (/.f64 #s(literal -2 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 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 #s(literal -2 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 2 binary64) x) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0390625 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 20.18868213234772 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 39.0ms | 228× | 1 | valid |
| 2.0ms | 10× | 2 | valid |
| 1.0ms | 18× | 0 | valid |
Compiled 94 to 22 computations (76.6% saved)
ival-div: 9.0ms (30.1% of total)adjust: 8.0ms (26.7% of total)ival-add: 8.0ms (26.7% of total)ival-sub: 4.0ms (13.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) 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 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1)) |
| 1.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (+ x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 363 |
| 1 | 260 | 343 |
| 2 | 673 | 322 |
| 3 | 2160 | 309 |
| 4 | 6993 | 309 |
| 0 | 8277 | 303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) 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 |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 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) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 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) |
(/ 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 (/.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 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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) |
(* -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 (/.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 | 10 | 32 |
| 0 | 17 | 32 |
| 1 | 94 | 32 |
| 2 | 1095 | 32 |
| 0 | 8508 | 29 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 (log1p.f64 x)) |
Compiled 12 946 to 1 486 computations (88.5% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 394 | 15 | 409 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 394 | 16 | 410 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.6% | (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 16.8% | (/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
| 18.2% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 68.5% | (/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) | |
| 16.8% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) | |
| 16.4% | (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 16.4% | (+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 19.9% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ✓ | 68.5% | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 4.0% | (+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 66.7% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 66.6% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 97.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ▶ | 5.2% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| 98.6% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) | |
| ▶ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Compiled 723 to 434 computations (40% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1152 | (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 358 |
| 0 | 75 | 337 |
| 1 | 136 | 337 |
| 2 | 305 | 316 |
| 3 | 874 | 316 |
| 4 | 2755 | 312 |
| 5 | 6813 | 294 |
| 0 | 8231 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(literal -2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
#s(literal -2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) |
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal -2 binary64) x) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal -2 binary64) x) |
x |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5243992317333057 | (/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 60.30698525588417 | (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 58.83777727524772 | (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) | |
| accuracy | 1.0715879580496122 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) | |
| accuracy | 20.18868213234772 | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 60.685146424057386 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.29252024720653536 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.3170055424725495 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) | |
| accuracy | 0.45895083114301705 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| accuracy | 0.5283054817333057 | (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
| 149.0ms | 137× | 2 | valid |
| 94.0ms | 112× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 682 to 89 computations (87% saved)
adjust: 78.0ms (38.9% of total)ival-div: 64.0ms (31.9% of total)ival-mult: 32.0ms (16% of total)ival-sub: 10.0ms (5% of total)ival-add: 10.0ms (5% of total)ival-pow: 5.0ms (2.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
| Outputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ -2 (pow x 2)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -1 x) 1) x) |
-2 |
(- (* -1 x) 2) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
x |
(* x (+ 1 x)) |
(/ 2 (pow x 2)) |
(/ 1 (pow x 4)) |
-1 |
(- x 1) |
(* -1 x) |
(* x (- x 1)) |
(* x (- (pow x 2) 1)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -2 (/ 2 (* x x))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (/ 1 (pow x 4)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x)) |
| 5.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -2 (/ 2 (* x x))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (/ 1 (pow x 4)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x)) |
| 4.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -2 (/ 2 (* x x))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (/ 1 (pow x 4)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 591 |
| 1 | 455 | 565 |
| 2 | 1185 | 522 |
| 3 | 3972 | 517 |
| 0 | 8365 | 495 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ -2 (pow x 2)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ -1 (pow x 2)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/ -1 x) |
(/ (- (* -1 x) 1) x) |
-2 |
(- (* -1 x) 2) |
2 |
(+ 2 (* 2 x)) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
x |
(* x (+ 1 x)) |
(/ 2 (pow x 2)) |
(/ 1 (pow x 4)) |
-1 |
(- x 1) |
(* -1 x) |
(* x (- x 1)) |
(* x (- (pow x 2) 1)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(* -1 (+ 1 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 9)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(/ -2 (pow x 5)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ (- (* -2 (pow x 2)) 2) (pow x 2)) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(/ -1 (pow x 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 x x)) |
(/ (- (* -1 x) 1) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* -1 x) 1) x) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (+ 2 (* 2 (/ 1 (pow x 2))))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 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) |
(* -1 (+ 1 (/ 1 x))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 281 |
| 0 | 75 | 269 |
| 1 | 343 | 256 |
| 2 | 3199 | 256 |
| 0 | 8690 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(literal -2 binary64) x) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) x) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))))) (neg.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))) (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)))) (neg.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))))) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))))) (neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))))) (neg.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) x) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))) |
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) x) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
Compiled 37 853 to 3 485 computations (90.8% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 066 | 14 | 1 080 |
| Fresh | 6 | 4 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 076 | 20 | 1 096 |
| Status | Accuracy | Program |
|---|---|---|
| 68.7% | (/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 16.7% | (/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| 68.6% | (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 16.6% | (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 16.8% | (/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
| 18.2% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| 18.2% | (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) | |
| 18.2% | (/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 53.0% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 98.6% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| 98.1% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 96.9% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 16.4% | (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| ✓ | 66.7% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 66.6% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 99.3% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x)) x)) | |
| 97.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 5.2% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 99.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| 10.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
Compiled 1 048 to 633 computations (39.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 320 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 384 | (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 440 |
| 0 | 88 | 430 |
| 1 | 165 | 430 |
| 2 | 333 | 397 |
| 3 | 989 | 397 |
| 4 | 2946 | 397 |
| 5 | 7609 | 397 |
| 0 | 8036 | 383 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
x |
(pow.f64 (neg.f64 x) #s(literal -3 binary64)) |
(neg.f64 x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) |
#s(literal -2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) |
(-.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
x |
(pow.f64 (neg.f64 x) #s(literal -3 binary64)) |
(neg.f64 x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
#s(literal 1 binary64) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) |
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) |
(-.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) |
(-.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(fma.f64 x x x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal -2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.7475899141970133 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.5243992317333057 | (/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 60.30698525588417 | (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 20.18868213234772 | (+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 30.73907334455051 | (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 62.9999208715453 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) | |
| accuracy | 0.03125 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) | |
| accuracy | 0.109375 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.29252024720653536 | (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) | |
| accuracy | 0.3170055424725495 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| 173.0ms | 137× | 2 | valid |
| 107.0ms | 112× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 821 to 104 computations (87.3% saved)
adjust: 73.0ms (31.4% of total)ival-div: 57.0ms (24.5% of total)ival-sub: 36.0ms (15.5% of total)ival-mult: 32.0ms (13.8% of total)ival-add: 24.0ms (10.3% of total)ival-pow: 8.0ms (3.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
| Outputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
-2 |
(- (* -1 x) 2) |
x |
(* x (+ 1 x)) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* -2 x)) (pow x 3)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(/ 1 (pow x 4)) |
-1 |
(- x 1) |
1 |
(+ 1 x) |
(* x (- (pow x 2) 1)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(- 2 (* 2 (/ 1 x))) |
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(/ (- (* 2 (/ 1 x)) 2) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (/ 1 (pow x 4)))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (* (* (+ x 1) x) 1) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (/ 1 (pow x 4)) (/ (/ 2 x) x) (- x 1) (+ x 1) (* (* (+ x 1) x) (- x 1)) (/ (- (/ 2 x) 2) x)) |
| 4.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (/ 1 (pow x 4)))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (* (* (+ x 1) x) 1) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (/ 1 (pow x 4)) (/ (/ 2 x) x) (- x 1) (+ x 1) (* (* (+ x 1) x) (- x 1)) (/ (- (/ 2 x) 2) x)) |
| 3.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (/ 1 (pow x 4)))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (* (* (+ x 1) x) 1) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (/ 1 (pow x 4)) (/ (/ 2 x) x) (- x 1) (+ x 1) (* (* (+ x 1) x) (- x 1)) (/ (- (/ 2 x) 2) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 164 | 655 |
| 1 | 444 | 624 |
| 2 | 1184 | 589 |
| 3 | 4486 | 587 |
| 0 | 8333 | 559 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
-2 |
(- (* -1 x) 2) |
x |
(* x (+ 1 x)) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* -2 x)) (pow x 3)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3)) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(/ 1 (pow x 4)) |
-1 |
(- x 1) |
1 |
(+ 1 x) |
(* x (- (pow x 2) 1)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(/ 2 x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(* -2 x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) |
(- 2 (* 2 (/ 1 x))) |
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(/ (- (* 2 (/ 1 x)) 2) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) x)) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 9)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(/ -2 (pow x 5)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x)) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* -2 x)) (pow x 3)) |
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* -2 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (*.f64 x x)) |
(/ 1 (pow x 4)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 2 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (/ 1 x)) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 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) |
(- 2 (* 2 (/ 1 x))) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ (- (* 2 (/ 1 x)) 2) x) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (* x (- 2 (* 2 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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) |
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 352 |
| 0 | 88 | 334 |
| 1 | 418 | 324 |
| 2 | 4010 | 324 |
| 0 | 8828 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(-.f64 x #s(literal 1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (neg.f64 x) #s(literal -3 binary64)))) (+.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 x x)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal -4 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64))) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 x x x) x (neg.f64 (fma.f64 x x x))) |
(fma.f64 x (fma.f64 x x x) (neg.f64 (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) x) (neg.f64 (fma.f64 x x x))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (neg.f64 (fma.f64 x x x))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(pow.f64 (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) x) |
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) x) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) x)) (*.f64 x (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (neg.f64 x))) |
(/.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (neg.f64 x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 8 binary64) #s(literal -8 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))))) |
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (neg.f64 x)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) x)) |
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal -2 binary64) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x)) (*.f64 x x)) (/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) (*.f64 x (neg.f64 x))) (/.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x (neg.f64 x)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (neg.f64 x)))) |
(-.f64 (/.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) x)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)))) x) (/.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 4 binary64)))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (neg.f64 x))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
Compiled 39 536 to 3 631 computations (90.8% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 094 | 19 | 1 113 |
| Fresh | 7 | 6 | 13 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 107 | 26 | 1 133 |
| Status | Accuracy | Program |
|---|---|---|
| 16.6% | (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) | |
| 68.6% | (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 16.7% | (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| 16.6% | (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| 16.7% | (/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| ▶ | 18.2% | (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
| 98.6% | (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (-.f64 x #s(literal 1 binary64))) | |
| 18.2% | (/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) | |
| 98.6% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) | |
| 33.8% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) | |
| 98.6% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 98.1% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| 47.1% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(approx (- (/ (- (/ 2 x) 2) x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (*.f64 x x))) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 96.9% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 46.4% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(approx (/ (- (/ (- (/ 2 x) 2) x) -2) x) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 55.5% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| ▶ | 97.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
| 98.0% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))) | |
| 16.4% | (+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 14.6% | (+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 66.6% | (+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| 92.1% | (*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) | |
| 97.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 5.2% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 99.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
| 10.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
Compiled 1 667 to 1 047 computations (37.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 384 | (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) | |
| cost-diff | 128 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 384 | (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) | |
| cost-diff | 448 | (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | -384 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) | |
| cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 500 |
| 0 | 92 | 492 |
| 1 | 183 | 486 |
| 2 | 426 | 457 |
| 3 | 1308 | 441 |
| 4 | 5715 | 436 |
| 0 | 8495 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
x |
(pow.f64 (neg.f64 x) #s(literal -3 binary64)) |
(neg.f64 x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) |
#s(literal -1 binary64) |
(pow.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
x |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) |
(-.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
x |
(pow.f64 (neg.f64 x) #s(literal -3 binary64)) |
(neg.f64 x) |
#s(literal -3 binary64) |
(-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) |
#s(literal -1 binary64) |
(pow.f64 x #s(literal -4 binary64)) |
#s(literal -4 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
x |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 2 binary64) x) |
x |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) |
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal -2 binary64))) |
#s(literal -1 binary64) |
(fma.f64 x x x) |
x |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal -2 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(-.f64 #s(literal -2 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -2 binary64) |
(neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(-.f64 x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) | |
| accuracy | 0.109375 | (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) | |
| accuracy | 0.5243992317333057 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) | |
| accuracy | 0.7475899141970133 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| accuracy | 0.5243992317333057 | (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) | |
| accuracy | 60.401441463562215 | (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) | |
| accuracy | 0.0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 1.0804954313853459 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.12890625 | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 60.53988344405532 | #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) | |
| accuracy | 0.03125 | (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) | |
| accuracy | 0.109375 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.3170055424725495 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
| 206.0ms | 134× | 2 | valid |
| 97.0ms | 115× | 1 | valid |
| 2.0ms | 7× | 0 | valid |
Compiled 932 to 110 computations (88.2% saved)
ival-mult: 49.0ms (24.8% of total)ival-div: 45.0ms (22.8% of total)adjust: 43.0ms (21.8% of total)ival-sub: 23.0ms (11.7% of total)ival-add: 21.0ms (10.6% of total)ival-pow: 12.0ms (6.1% of total)ival-neg: 3.0ms (1.5% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
| Outputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
-1 |
(- x 1) |
(/ -2 (pow x 2)) |
(/ (- (* 2 x) 2) (pow x 2)) |
(/ (- (* 2 x) 2) x) |
-2 |
(- (* -1 x) 2) |
1 |
(+ 1 (* -1 x)) |
(- x 2) |
(- (* x (+ 1 x)) 2) |
(* -1/2 x) |
(* x (- (* 1/2 (pow x 2)) 1/2)) |
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(* x (- (pow x 2) 1)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(- 2 (* 2 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2))))) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2))) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (pow x -4))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* (+ x 1) -2) x) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (/ 1 (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x))) (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x) (/ (/ 2 x) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))) (* (+ (* x x) -1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) |
| 6.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (pow x -4))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* (+ x 1) -2) x) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (/ 1 (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x))) (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x) (/ (/ 2 x) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))) (* (+ (* x x) -1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) |
| 4.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (- -1 (pow x -4))) (* (+ 2 (/ (/ 2 x) x)) (pow (neg x) -3)) (+ 2 (/ (/ 2 x) x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* (+ x 1) -2) x) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (/ 1 (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x))) (/ (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) x) (/ (/ 2 x) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))) (* (+ (* x x) -1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 653 |
| 1 | 432 | 621 |
| 2 | 1227 | 587 |
| 3 | 4056 | 572 |
| 0 | 8313 | 544 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -2 x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(/ 2 (pow x 9)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/ -2 (pow x 5)) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(/ 2 (pow x 2)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
2 |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 2 x) 2))) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(* -1 x) |
(* x (- x 1)) |
-1 |
(- x 1) |
(/ -2 (pow x 2)) |
(/ (- (* 2 x) 2) (pow x 2)) |
(/ (- (* 2 x) 2) x) |
-2 |
(- (* -1 x) 2) |
1 |
(+ 1 (* -1 x)) |
(- x 2) |
(- (* x (+ 1 x)) 2) |
(* -1/2 x) |
(* x (- (* 1/2 (pow x 2)) 1/2)) |
(/ 2 x) |
(/ (+ 2 (* -2 x)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(* x (- (pow x 2) 1)) |
(/ 2 (pow x 3)) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/ -2 (pow x 3)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 x))) |
x |
(* x (- 1 (/ 1 x))) |
(- 2 (* 2 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* x (- (/ 1 x) 1)) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2)))) |
(* 1/2 (pow x 3)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2))))) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2))) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
| Outputs |
|---|
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(/ (- (* -2 (pow x 2)) 2) x) |
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) |
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) |
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) |
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x)) |
(/ 2 (pow x 9)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 9)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 9 binary64)))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (pow x 9)) |
(/.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 9 binary64))) |
(/ (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (pow x 9)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))) |
(/ -2 (pow x 5)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64))) |
(/ (- (* -2 (pow x 2)) 2) (pow x 5)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 5 binary64)))) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/ (+ 2 (* 2 (pow x 2))) (pow x 2)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))) x) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 2 x) 2))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- x 1)) |
(fma.f64 x x (neg.f64 x)) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/ (- (* 2 x) 2) (pow x 2)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* 2 x) 2) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #s(literal -2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(- x 2) |
(-.f64 x #s(literal 2 binary64)) |
(- (* x (+ 1 x)) 2) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* x (- (* 1/2 (pow x 2)) 1/2)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* -2 x)) x) |
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* 2 x) 2))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
(/ (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) |
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+ 2 (* 2 (/ 1 (pow x 2)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) |
(/ (- 2 (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 x))) |
(fma.f64 x x (neg.f64 x)) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(- 2 (* 2 (/ 1 x))) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)) |
(* 1/2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/ (- 2 (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) x) |
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) (pow x 2)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* 2 (/ 1 x)) 2) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x)))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x) x) |
(/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x))) (pow x 2)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) x)) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 397 |
| 0 | 92 | 389 |
| 1 | 447 | 381 |
| 2 | 4449 | 378 |
| 0 | 8185 | 365 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) |
(*.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -3 binary64))) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64)))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -8 binary64)))) (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -12 binary64)))) (+.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -8 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal -4 binary64))))) |
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal -4 binary64))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64))) (pow.f64 (neg.f64 x) #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3/2 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64))) (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -3 binary64)))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -3 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -4 binary64)))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 x x) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 x x) (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) |
Compiled 26 807 to 2 463 computations (90.8% saved)
16 alts after pruning (14 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 725 | 9 | 734 |
| Fresh | 15 | 5 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 744 | 16 | 760 |
| Status | Accuracy | Program |
|---|---|---|
| 98.1% | (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 x #s(literal 1 binary64))) x) | |
| 98.6% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 45.9% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 98.1% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) | |
| ✓ | 98.1% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| 33.3% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) | |
| 96.9% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 46.4% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(approx (/ (- (/ (- (/ 2 x) 2) x) -2) x) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| 55.5% | (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) | |
| 99.2% | (/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) | |
| 97.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))))) | |
| 97.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) x)) | |
| 97.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) | |
| ✓ | 5.2% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| 99.5% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) | |
| 10.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
Compiled 2 312 to 627 computations (72.9% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 x #s(literal 1 binary64))) x) |
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(approx (- (/ (- (/ 2 x) 2) x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (*.f64 x x))) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(approx (/ (- (/ (- (/ 2 x) 2) x) -2) x) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 x x)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
2 calls:
| 26.0ms | x |
| 13.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 x #s(literal 1 binary64))) x) |
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(approx (- (/ (- (/ 2 x) 2) x) -2) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (*.f64 x x))) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x x)))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(approx (/ (- (/ (- (/ 2 x) 2) x) -2) x) (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (/ (- -2 (/ 2 (* x x))) (pow x 3)) (- -1 (/ 1 (pow x 4)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal 9 binary64))))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
2 calls:
| 22.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 1 | x |
| 55.5% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 16 to 11 computations (31.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.2% | 1 | (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 5.2% | 1 | x |
Compiled 16 to 11 computations (31.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 113 |
| 1 | 67 | 113 |
| 2 | 83 | 113 |
| 3 | 93 | 113 |
| 4 | 98 | 113 |
| 5 | 99 | 113 |
| 1× | saturated |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (pow.f64 (neg.f64 x) #s(literal -3 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) |
(/.f64 #s(approx (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 653 |
| 1 | 432 | 621 |
| 2 | 1227 | 587 |
| 3 | 4056 | 572 |
| 0 | 8313 | 544 |
| 0 | 164 | 591 |
| 1 | 455 | 565 |
| 2 | 1185 | 522 |
| 3 | 3972 | 517 |
| 0 | 8365 | 495 |
| 0 | 10 | 32 |
| 0 | 17 | 32 |
| 1 | 94 | 32 |
| 2 | 1095 | 32 |
| 0 | 8508 | 29 |
| 0 | 99 | 363 |
| 1 | 260 | 343 |
| 2 | 673 | 322 |
| 3 | 2160 | 309 |
| 4 | 6993 | 309 |
| 0 | 8277 | 303 |
| 0 | 55 | 397 |
| 0 | 92 | 389 |
| 1 | 447 | 381 |
| 2 | 4449 | 378 |
| 0 | 8185 | 365 |
| 0 | 53 | 352 |
| 0 | 88 | 334 |
| 1 | 418 | 324 |
| 2 | 4010 | 324 |
| 0 | 8828 | 307 |
| 0 | 164 | 655 |
| 1 | 444 | 624 |
| 2 | 1184 | 589 |
| 3 | 4486 | 587 |
| 0 | 8333 | 559 |
| 0 | 45 | 281 |
| 0 | 75 | 269 |
| 1 | 343 | 256 |
| 2 | 3199 | 256 |
| 0 | 8690 | 238 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 328 to 192 computations (41.5% saved)
(negabs x)
Compiled 478 to 280 computations (41.4% saved)
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