
Time bar (total: 8.1s)
| 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)
| 1.4s | 7 293× | 1 | valid |
| 350.0ms | 538× | 2 | valid |
| 28.0ms | 425× | 0 | valid |
ival-div: 641.0ms (41.1% of total)adjust: 332.0ms (21.3% of total)ival-add: 328.0ms (21% of total)ival-sub: 162.0ms (10.4% of total)ival-fabs: 58.0ms (3.7% of total)ival->: 26.0ms (1.7% of total)exact: 9.0ms (0.6% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 95 | 0 | - | 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 | 95 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 95 | 0 |
| - | 0 | 161 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 95 | 0 | 0 |
| - | 0 | 0 | 161 |
| number | freq |
|---|---|
| 0 | 161 |
| 1 | 95 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 464× | 1 | valid |
| 5.0ms | 22× | 2 | valid |
| 2.0ms | 26× | 0 | valid |
Compiled 157 to 44 computations (72% saved)
ival-div: 21.0ms (32.6% of total)ival-add: 19.0ms (29.5% of total)adjust: 13.0ms (20.2% of total)ival-sub: 9.0ms (14% of total)exact: 1.0ms (1.6% 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 |
|---|---|---|
| ▶ | 66.2% | (+.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 | 0.03125 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) | |
| accuracy | 21.700304704275407 | (+.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)))) |
| 51.0ms | 232× | 1 | valid |
| 2.0ms | 11× | 2 | valid |
| 1.0ms | 13× | 0 | valid |
Compiled 94 to 22 computations (76.6% saved)
ival-div: 17.0ms (51.2% of total)adjust: 6.0ms (18.1% of total)ival-add: 5.0ms (15% of total)ival-sub: 4.0ms (12% 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)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 395 | 14 | 409 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 395 | 15 | 410 |
| Status | Accuracy | Program |
|---|---|---|
| 65.8% | (/.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)))) | |
| 17.9% | (/.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)))) | |
| ▶ | 18.7% | (/.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))) |
| 65.7% | (/.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)) | |
| 17.9% | (/.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))))) | |
| 17.4% | (+.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)))) | |
| ▶ | 65.8% | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 17.3% | (+.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)))) | |
| 21.4% | (+.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)))) | |
| ✓ | 66.2% | (+.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)))) | |
| ▶ | 65.3% | (+.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)))) |
| 65.2% | (+.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)))) | |
| ▶ | 98.8% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| ▶ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
Compiled 625 to 358 computations (42.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 384 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 1344 | (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)))))) | |
| cost-diff | 0 | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.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 | 512 | (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) | |
| 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 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 283 |
| 0 | 57 | 265 |
| 1 | 105 | 265 |
| 2 | 230 | 253 |
| 3 | 617 | 241 |
| 4 | 1851 | 235 |
| 5 | 5364 | 217 |
| 0 | 8363 | 207 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.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))) |
(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)))))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.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 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))) |
#s(literal 2 binary64) |
(*.f64 (-.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 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 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) x) 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)) |
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) x) x) |
(/.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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.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 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.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 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(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)))))) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.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)) |
x |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) |
(-.f64 #s(literal -2 binary64) 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 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.20395788669991513 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.2445569999027157 | (/.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))) | |
| accuracy | 60.78872395548403 | (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)))))) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.015625 | (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) | |
| accuracy | 0.20395788669991513 | (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) | |
| accuracy | 21.700304704275407 | (+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x) | |
| accuracy | 0.5405118191085216 | #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) | |
| accuracy | 21.700304704275407 | (+.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 | 60.820167978412684 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.2445569999027157 | (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| 204.0ms | 241× | 1 | valid |
| 6.0ms | 11× | 2 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 544 to 70 computations (87.1% saved)
ival-div: 126.0ms (69% of total)ival-add: 16.0ms (8.8% of total)adjust: 15.0ms (8.2% of total)ival-mult: 14.0ms (7.7% of total)ival-sub: 8.0ms (4.4% of total)ival-pow: 3.0ms (1.6% 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 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#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 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(-.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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(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)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (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 (-.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 3)) |
(pow x 3) |
(/ (- 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)) |
x |
(* x (+ 1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* x (- (* -1 x) 1))) |
(- x 2) |
(- (* x (+ 1 (* -1 x))) 2) |
(- (* x (+ 1 (* x (- x 1)))) 2) |
(* -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)) |
(* -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 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) |
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (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)) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1) |
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 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))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- x (* 2 (+ x 1))) (+ x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 4.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 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))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- x (* 2 (+ x 1))) (+ x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 3.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 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))) (+ x 1)) x) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- x (* 2 (+ x 1))) (+ x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 129 | 460 |
| 1 | 354 | 433 |
| 2 | 960 | 400 |
| 3 | 3140 | 389 |
| 4 | 7488 | 389 |
| 0 | 8056 | 375 |
| 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 3)) |
(pow x 3) |
(/ (- 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)) |
x |
(* x (+ 1 x)) |
(+ 2 (* -1 x)) |
(+ 2 (* x (- (* -1 x) 1))) |
(- x 2) |
(- (* x (+ 1 (* -1 x))) 2) |
(- (* x (+ 1 (* x (- x 1)))) 2) |
(* -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)) |
(* -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 (/ 1 x))) |
(* -1 (* x (+ 1 (* 2 (/ 1 x))))) |
(* 2 x) |
(* x (+ 2 (* 2 (/ 1 x)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* -1 (pow x 2)) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) |
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (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)) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1) |
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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) |
(/.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) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ (- x 2) x) |
(/.f64 (-.f64 x #s(literal 2 binary64)) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(-.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) |
(/ (- (* 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 (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)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(+ 2 (* -1 x)) |
(-.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (- (* -1 x) 1))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(- x 2) |
(-.f64 x #s(literal 2 binary64)) |
(- (* x (+ 1 (* -1 x))) 2) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -2 binary64)) |
(- (* x (+ 1 (* x (- x 1)))) 2) |
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x #s(literal -2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* 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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 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))) |
(* -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 |
#s(literal -1 binary64) |
(* -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)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* -1 (* (pow x 2) (+ 1 (/ 1 x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) |
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 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 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)) (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 x (pow.f64 x #s(literal 3 binary64))) #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) |
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1)) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1) |
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) |
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1) |
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) 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 | 36 | 229 |
| 0 | 57 | 219 |
| 1 | 270 | 205 |
| 2 | 2765 | 205 |
| 0 | 8616 | 189 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#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 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) |
(-.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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(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)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (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 (-.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 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -3 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #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 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
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(fma.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (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 #s(literal -1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (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)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.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))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.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)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.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 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.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 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.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))))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.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)))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.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 (pow.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.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 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 x))) (/.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)) (neg.f64 x)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.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 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.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 (fma.f64 x x #s(literal -1 binary64)) x))) |
(-.f64 (/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.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 -2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (/.f64 (-.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 -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 2 binary64) x)) |
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.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)))) |
(+.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal -2 binary64) x)) |
(+.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 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.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)))) |
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (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))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x 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 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (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 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.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))) |
Compiled 27 349 to 2 950 computations (89.2% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 841 | 9 | 850 |
| Fresh | 9 | 0 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 0 | 1 |
| Total | 854 | 11 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.9% | (/.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)) |
| 18.7% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| ▶ | 17.4% | (+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 66.1% | (+.f64 (/.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ✓ | 65.3% | (+.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)))) |
| 65.2% | (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- (/ -1 x) 1) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| ▶ | 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) | |
| ▶ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ▶ | 99.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 464 to 301 computations (35.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 384 | (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) | |
| cost-diff | 1152 | (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)) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) | |
| cost-diff | 0 | (+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 384 | (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) | |
| cost-diff | -5056 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) | |
| cost-diff | -384 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) | |
| cost-diff | 0 | (pow.f64 x #s(literal -3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 229 |
| 0 | 54 | 216 |
| 1 | 81 | 206 |
| 2 | 152 | 206 |
| 3 | 391 | 194 |
| 4 | 1159 | 189 |
| 5 | 2272 | 179 |
| 0 | 8383 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
#s(literal 2 binary64) |
(*.f64 x x) |
x |
(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
(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 (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)) |
(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)) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 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 |
(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x 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 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) |
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) |
(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)) |
x |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
(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 (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 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(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)) |
#s(literal 2 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)) |
x |
#s(literal 1 binary64) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
(fma.f64 x x x) |
(*.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)) |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (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 | 0.2445569999027157 | (/.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)) | |
| accuracy | 61.035413412668305 | (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)) | |
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) | |
| accuracy | 21.700304704275407 | (+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 28.698749576591485 | (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.09765625 | (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) | |
| accuracy | 0.7059776875764157 | (/.f64 #s(literal 2 binary64) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.2445569999027157 | (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.0 | (pow.f64 x #s(literal -3 binary64)) | |
| accuracy | 0.00390625 | (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
| 182.0ms | 241× | 1 | valid |
| 6.0ms | 11× | 2 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 455 to 68 computations (85.1% saved)
ival-mult: 47.0ms (37.5% of total)ival-div: 25.0ms (19.9% of total)ival-add: 24.0ms (19.1% of total)adjust: 21.0ms (16.7% of total)ival-sub: 4.0ms (3.2% of total)ival-pow: 3.0ms (2.4% of total)exact: 1.0ms (0.8% 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 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) |
(+.f64 x #s(literal 1 binary64)) |
(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 (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 (fma.f64 x 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 3)) |
(/ 1 (pow x 3)) |
(pow x 2) |
(pow x 3) |
(/ 2 (pow x 2)) |
-2 |
(- (* -1 x) 2) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
1 |
(+ 1 x) |
2 |
(* -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)) |
(* -1 (* x (+ 1 (* 2 (/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* (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 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* (+ x 1) -2) x) (+ (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (/ 1 (- x 1))) (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (+ x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (* (+ (* x x) -1) x)) |
| 3.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* (+ x 1) -2) x) (+ (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (/ 1 (- x 1))) (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (+ x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (* (+ (* x x) -1) x)) |
| 2.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* (+ x 1) -2) x) (+ (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (/ 1 (- x 1))) (/ (+ (* (+ x 1) -2) x) (+ (* x x) x)) (+ x 1) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (* (+ (* x x) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 308 |
| 1 | 257 | 296 |
| 2 | 728 | 277 |
| 3 | 2252 | 262 |
| 4 | 6377 | 262 |
| 0 | 8367 | 258 |
| 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 3)) |
(/ 1 (pow x 3)) |
(pow x 2) |
(pow x 3) |
(/ 2 (pow x 2)) |
-2 |
(- (* -1 x) 2) |
(/ (- x 2) x) |
(/ (- (* x (+ 1 (* -1 x))) 2) x) |
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x) |
1 |
(+ 1 x) |
2 |
(* -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)) |
(* -1 (* x (+ 1 (* 2 (/ 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) |
x |
(* x (+ 1 (/ 1 x))) |
(* (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 (* (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) |
(/.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) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(/ 2 (pow x 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
-2 |
#s(literal -2 binary64) |
(- (* -1 x) 2) |
(-.f64 #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 x) |
(+.f64 x #s(literal 1 binary64)) |
2 |
#s(literal 2 binary64) |
(* -1 x) |
(neg.f64 x) |
(* 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 (/.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 (+ 1 (* 2 (/ 1 x))))) |
(-.f64 #s(literal -2 binary64) x) |
(/ -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 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 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 #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 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) 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 | 34 | 180 |
| 0 | 54 | 166 |
| 1 | 239 | 166 |
| 2 | 2455 | 166 |
| 0 | 8224 | 163 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) |
(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) |
(+.f64 x #s(literal 1 binary64)) |
(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 (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 (fma.f64 x x #s(literal -1 binary64)) x) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(pow.f64 (exp.f64 #s(literal -3 binary64)) (log.f64 x)) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -3/2 binary64)) |
(pow.f64 x #s(literal -3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) x) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -3/2 binary64) (*.f64 (log.f64 x) #s(literal -3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -3 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) x)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (neg.f64 (fma.f64 x x x)))) (fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (neg.f64 (fma.f64 x x x)))) (fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x x))) |
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (fma.f64 x x x))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.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))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) |
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) |
(/.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (neg.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) 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)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 x x) x (*.f64 x #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (fma.f64 x x x) (neg.f64 (fma.f64 x x x))) |
(fma.f64 x (*.f64 x x) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(+.f64 (*.f64 x (fma.f64 x x x)) (neg.f64 (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 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
Compiled 23 729 to 2 365 computations (90% saved)
8 alts after pruning (4 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 764 | 2 | 766 |
| Fresh | 2 | 2 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 1 | 2 |
| Total | 769 | 8 | 777 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 18.7% | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| ▶ | 99.6% | (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| ▶ | 99.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ▶ | 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 99.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 193 to 125 computations (35.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| cost-diff | 128 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 192 | (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) | |
| cost-diff | -5952 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| cost-diff | -5056 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) | |
| cost-diff | -5440 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 247 |
| 0 | 59 | 242 |
| 1 | 113 | 239 |
| 2 | 264 | 227 |
| 3 | 660 | 212 |
| 4 | 1766 | 180 |
| 5 | 4251 | 180 |
| 6 | 6897 | 180 |
| 0 | 8150 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(+.f64 x #s(literal 1 binary64)) |
x |
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.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 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 x x) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) |
#s(literal 2 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)) |
x |
#s(literal -1 binary64) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.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)) |
x |
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)) |
(-.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 2 binary64) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (+.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.1015625 | (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) | |
| accuracy | 0.2445569999027157 | (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) | |
| accuracy | 60.78872395548403 | (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) | |
| accuracy | 0.2445569999027157 | (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.09765625 | (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) | |
| accuracy | 0.15625 | (/.f64 (/.f64 #s(literal 2 binary64) x) x) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.15625 | (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) | |
| accuracy | 0.5458348392982946 | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| 236.0ms | 241× | 1 | valid |
| 7.0ms | 11× | 2 | valid |
| 1.0ms | 4× | 0 | valid |
Compiled 461 to 80 computations (82.6% saved)
ival-mult: 57.0ms (25.9% of total)ival-div: 56.0ms (25.4% of total)adjust: 50.0ms (22.7% of total)ival-add: 48.0ms (21.8% of total)ival-sub: 9.0ms (4.1% 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 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (-.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 x) |
(pow x 2) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
2 |
-1 |
(- (pow x 2) 1) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 x) |
(/ (+ 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)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 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 (* (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 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (* (- x 1) (* (+ x 1) x))) |
| 3.0ms | x | @ | inf | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (* (- x 1) (* (+ x 1) x))) |
| 2.0ms | x | @ | 0 | ((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* x x) -1) (* (+ (* x x) -1) x) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (* (- x 1) (* (+ x 1) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 215 |
| 1 | 154 | 206 |
| 2 | 431 | 200 |
| 3 | 1923 | 189 |
| 4 | 4857 | 189 |
| 0 | 8288 | 181 |
| 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 x) |
(pow x 2) |
(/ 2 (pow x 3)) |
(/ 2 (pow x 2)) |
2 |
-1 |
(- (pow x 2) 1) |
(* -1 x) |
(* x (- (pow x 2) 1)) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 x) |
(/ (+ 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)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(pow x 3) |
(* (pow x 3) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 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 (* (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) |
(/.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))) x) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(/ 2 (pow x 3)) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ 2 (pow x 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
2 |
#s(literal 2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (pow x 2) 1)) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) x) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(/ (+ 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))) (/ 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 (/.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 (/.f64 #s(literal 2 binary64) x) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x 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) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) |
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) 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 | 41 | 203 |
| 0 | 59 | 198 |
| 1 | 297 | 187 |
| 2 | 2902 | 187 |
| 0 | 9444 | 174 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) x) |
(*.f64 x x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
(/.f64 (/.f64 #s(literal 2 binary64) x) x) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (-.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 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) |
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 2 binary64) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))) |
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x)) |
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x))) |
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) |
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) |
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(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) x (neg.f64 x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) |
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x x) (neg.f64 x)) |
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(+.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) |
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
Compiled 25 697 to 2 143 computations (91.7% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 660 | 1 | 661 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 4 | 4 |
| Total | 661 | 8 | 669 |
| Status | Accuracy | Program |
|---|---|---|
| 99.6% | (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) | |
| ✓ | 99.6% | (/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| ✓ | 99.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) |
| ✓ | 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
| ✓ | 98.9% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
| ✓ | 98.7% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| ✓ | 5.0% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| ✓ | 99.1% | #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
Compiled 794 to 248 computations (68.8% saved)
| Inputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) |
(+.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 (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- (/ -1 x) 1) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.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)))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) 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 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 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 (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 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #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 (+.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 #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(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))))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
2 calls:
| 8.0ms | x |
| 6.0ms | (+.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 |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 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)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) 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 |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 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)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) 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 |
|---|---|---|
| 98.7% | 1 | x |
| 98.7% | 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 |
|---|---|---|
| 5.0% | 1 | x |
| 5.0% | 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)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 96 |
| 1 | 40 | 96 |
| 2 | 43 | 96 |
| 3 | 47 | 96 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) |
(/.f64 #s(approx (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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 | 41 | 203 |
| 0 | 59 | 198 |
| 1 | 297 | 187 |
| 2 | 2902 | 187 |
| 0 | 9444 | 174 |
| 0 | 36 | 229 |
| 0 | 57 | 219 |
| 1 | 270 | 205 |
| 2 | 2765 | 205 |
| 0 | 8616 | 189 |
| 0 | 99 | 363 |
| 1 | 260 | 343 |
| 2 | 673 | 322 |
| 3 | 2160 | 309 |
| 4 | 6993 | 309 |
| 0 | 8277 | 303 |
| 0 | 10 | 32 |
| 0 | 17 | 32 |
| 1 | 94 | 32 |
| 2 | 1095 | 32 |
| 0 | 8508 | 29 |
| 0 | 99 | 308 |
| 1 | 257 | 296 |
| 2 | 728 | 277 |
| 3 | 2252 | 262 |
| 4 | 6377 | 262 |
| 0 | 8367 | 258 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 301 to 144 computations (52.2% saved)
(negabs x)
Compiled 352 to 176 computations (50% saved)
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