
Time bar (total: 6.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 3 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 4 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 5 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 6 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 7 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 8 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 9 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 10 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 11 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 13 to 9 computations (30.8% saved)
| 556.0ms | 3 833× | 1 | valid |
| 285.0ms | 4 423× | 0 | valid |
ival-div: 225.0ms (35.9% of total)ival-sub: 142.0ms (22.7% of total)ival-add: 126.0ms (20.1% of total)adjust: 119.0ms (19% of total)ival-true: 6.0ms (1% of total)exact: 5.0ms (0.8% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 78 | 1 | (-1897.7836350224661) | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) | cancellation | 79 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 78 | 0 |
| - | 1 | 177 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 78 | 0 | 0 |
| - | 1 | 0 | 177 |
| number | freq |
|---|---|
| 0 | 177 |
| 1 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 266× | 1 | valid |
| 14.0ms | 246× | 0 | valid |
Compiled 73 to 25 computations (65.8% saved)
ival-div: 22.0ms (54.8% of total)ival-sub: 7.0ms (17.4% of total)adjust: 6.0ms (14.9% of total)ival-add: 4.0ms (10% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 21 | 25 |
| 2 | 52 | 22 |
| 3 | 105 | 22 |
| 4 | 190 | 22 |
| 5 | 264 | 22 |
| 6 | 286 | 22 |
| 7 | 288 | 22 |
| 0 | 7 | 11 |
| 0 | 12 | 11 |
| 1 | 20 | 11 |
| 2 | 27 | 11 |
| 3 | 40 | 11 |
| 4 | 61 | 11 |
| 5 | 86 | 11 |
| 6 | 131 | 11 |
| 7 | 177 | 11 |
| 8 | 258 | 11 |
| 9 | 299 | 11 |
| 10 | 319 | 11 |
| 11 | 319 | 11 |
| 0 | 319 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 (/.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 -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(abs x)
Compiled 11 to 7 computations (36.4% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.7% | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 11 to 7 computations (36.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 29 |
| 0 | 12 | 29 |
| 1 | 20 | 29 |
| 2 | 27 | 29 |
| 3 | 40 | 29 |
| 4 | 61 | 29 |
| 5 | 86 | 29 |
| 6 | 131 | 29 |
| 7 | 177 | 29 |
| 8 | 258 | 29 |
| 9 | 299 | 29 |
| 10 | 319 | 29 |
| 11 | 319 | 29 |
| 0 | 319 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.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)) |
x |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.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 -1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(+.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
x |
(/.f64 #s(literal 1 binary64) (-.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 | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) | |
| accuracy | 17.447543496586558 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| 15.0ms | 133× | 1 | valid |
| 7.0ms | 123× | 0 | valid |
Compiled 31 to 9 computations (71% saved)
ival-div: 5.0ms (35.6% of total)adjust: 3.0ms (21.3% of total)ival-sub: 3.0ms (21.3% of total)ival-add: 2.0ms (14.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (/.f64 #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))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(- x 1) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 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 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(* x (- 1 (/ 1 x))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1)) |
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1)) |
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)) (- x 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 83 | 316 |
| 1 | 228 | 306 |
| 2 | 585 | 287 |
| 3 | 1812 | 270 |
| 4 | 5165 | 270 |
| 0 | 8126 | 261 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* x (- x 1))) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(+ 1 x) |
-1 |
(- (* -1 x) 1) |
(- (* x (- (* -1 x) 1)) 1) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(- x 1) |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ 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 x)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(* x (- 1 (/ 1 x))) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 x) 1) |
(-.f64 #s(literal -1 binary64) x) |
(- (* x (- (* -1 x) 1)) 1) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) |
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (/ 1 x)) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(/ (+ 1 (/ 1 x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (/ (- (/ 1 x) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 12 | 27 |
| 1 | 66 | 27 |
| 2 | 644 | 27 |
| 0 | 9080 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.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 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) |
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(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (*.f64 (neg.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)))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64) (*.f64 (neg.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)))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64) (*.f64 (neg.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)))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.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)))) |
(fma.f64 (*.f64 x x) (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.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)))) |
(fma.f64 (*.f64 x x) (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.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)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.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)))) |
(fma.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x #s(literal 1 binary64)) |
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (*.f64 (neg.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)))) |
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (*.f64 (neg.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 (/.f64 x (-.f64 x #s(literal -1 binary64))) x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 #s(literal -1 binary64) x) |
(+.f64 x #s(literal -1 binary64)) |
Compiled 23 331 to 2 584 computations (88.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 881 | 6 | 887 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 882 | 6 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 77.2% | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| ▶ | 77.2% | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 44.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| 55.9% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)) | |
| ▶ | 55.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ▶ | 44.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 196 to 126 computations (35.7% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 2 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 3 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 4 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 2 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| cost-diff | 4 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 151 |
| 0 | 36 | 162 |
| 1 | 66 | 162 |
| 2 | 138 | 110 |
| 3 | 352 | 95 |
| 4 | 759 | 95 |
| 5 | 2633 | 95 |
| 6 | 6020 | 95 |
| 7 | 7960 | 95 |
| 0 | 8077 | 95 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) 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 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
#s(literal -2 binary64) |
(*.f64 x x) |
x |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
#s(literal -2 binary64) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
#s(literal -1 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.08984375 | (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 32.93675116580226 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.330478336707195 | (/.f64 #s(literal -2 binary64) (*.f64 x x)) | |
| accuracy | 28.40199691823227 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) | |
| accuracy | 35.447394499209345 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) | |
| accuracy | 35.306486831810794 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) | |
| accuracy | 0.0 | (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.240634586707195 | (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 32.93675116580226 | (-.f64 (-.f64 x #s(literal 1 binary64)) x) |
| 45.0ms | 138× | 1 | valid |
| 20.0ms | 118× | 0 | valid |
Compiled 141 to 23 computations (83.7% saved)
ival-div: 14.0ms (29% of total)ival-sub: 13.0ms (26.9% of total)ival-mult: 8.0ms (16.6% of total)adjust: 7.0ms (14.5% of total)ival-add: 5.0ms (10.4% of total)exact: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
-1 |
-2 |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(- x 1) |
(pow x 2) |
(/ -2 (pow x 2)) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
x |
(* x (- 1 (/ 1 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1.0ms | x | @ | inf | ((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1.0ms | x | @ | 0 | ((- (- x 1) x) (- (- (- x 1) x) 1) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x 1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 231 |
| 1 | 183 | 227 |
| 2 | 498 | 209 |
| 3 | 1463 | 205 |
| 4 | 4118 | 205 |
| 0 | 8135 | 194 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
-2 |
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(- x 1) |
(pow x 2) |
(/ -2 (pow x 2)) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
x |
(* x (- 1 (/ 1 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(* x (+ 1 (/ 1 x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
-2 |
#s(literal -2 binary64) |
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.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 1) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) #s(literal 2 binary64)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* 2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 2 binary64)) |
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 118 |
| 0 | 36 | 115 |
| 1 | 191 | 113 |
| 2 | 1732 | 113 |
| 0 | 8158 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(*.f64 x x) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(pow.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (pow.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))) (+.f64 x (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) x (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(fma.f64 x #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(-.f64 (-.f64 x x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (-.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) |
(-.f64 (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x (-.f64 #s(literal 1 binary64) (neg.f64 x))) |
(-.f64 x (-.f64 x #s(literal -1 binary64))) |
(+.f64 (-.f64 x x) #s(literal -1 binary64)) |
(+.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x)) |
(+.f64 x (-.f64 #s(literal -1 binary64) x)) |
(+.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
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(/.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (expm1.f64 (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (-.f64 x (expm1.f64 (log1p.f64 x))) (pow.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.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 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #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 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x)))) |
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 x #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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 39 055 to 3 839 computations (90.2% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 293 | 4 | 1 297 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 296 | 7 | 1 303 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| ▶ | 99.6% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 44.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ▶ | 55.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 55.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ▶ | 55.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
| ✓ | 44.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 113 to 76 computations (32.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 3 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| 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)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 133 |
| 0 | 35 | 130 |
| 1 | 54 | 130 |
| 2 | 100 | 100 |
| 3 | 189 | 100 |
| 4 | 271 | 100 |
| 5 | 525 | 100 |
| 6 | 1348 | 100 |
| 7 | 2886 | 100 |
| 8 | 4424 | 100 |
| 9 | 5381 | 100 |
| 10 | 6069 | 100 |
| 11 | 6707 | 100 |
| 12 | 7090 | 100 |
| 13 | 7419 | 100 |
| 0 | 8070 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) 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) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) 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) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (-.f64 x #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.08984375 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.240634586707195 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.16015625 | (/.f64 (/.f64 #s(literal -2 binary64) x) x) | |
| accuracy | 28.40199691823227 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) | |
| accuracy | 0.0 | (pow.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.01171875 | (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) | |
| accuracy | 28.40199691823227 | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
| 130.0ms | 138× | 1 | valid |
| 18.0ms | 118× | 0 | valid |
Compiled 115 to 23 computations (80% saved)
ival-div: 47.0ms (60.5% of total)ival-sub: 8.0ms (10.3% of total)ival-add: 8.0ms (10.3% of total)adjust: 7.0ms (9% of total)ival-mult: 4.0ms (5.2% of total)ival-pow: 3.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -2 x) |
-2 |
-1 |
(- (pow x 2) 1) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (- x -1)) |
| 1.0ms | x | @ | 0 | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (- x -1)) |
| 1.0ms | x | @ | -inf | ((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ -2 x) x) (/ -2 x) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1) (+ (* x x) -1) (/ (/ (- (- (- x 1) x) 1) (- x 1)) (- x -1)) (/ (- (- (- x 1) x) 1) (- x 1)) (- x 1) (- x -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 234 |
| 1 | 182 | 230 |
| 2 | 495 | 212 |
| 3 | 1444 | 208 |
| 4 | 4918 | 208 |
| 0 | 8154 | 196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(/ -2 (pow x 2)) |
(/ 1 (pow x 2)) |
(/ -2 x) |
-2 |
-1 |
(- (pow x 2) 1) |
(+ 2 (* 2 x)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(- x 1) |
1 |
(+ 1 x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
x |
(* x (- 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.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))) |
(/ -2 (pow x 2)) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
-2 |
#s(literal -2 binary64) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(+ 2 (* 2 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x) #s(literal 2 binary64)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 113 |
| 0 | 35 | 110 |
| 1 | 177 | 110 |
| 2 | 1498 | 110 |
| 0 | 8865 | 108 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) x) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(fma.f64 x x #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -2 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) x) #s(literal -2 binary64)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) x)) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) |
(/.f64 #s(literal -2 binary64) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -2 binary64) x))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x))) #s(literal -1 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)) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x))))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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) (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 0 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 x #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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
Compiled 12 278 to 1 490 computations (87.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 1 | 498 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 3 | 3 |
| Total | 497 | 8 | 505 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| ✓ | 99.6% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 92.5% | (*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| ✓ | 44.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ✓ | 55.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 55.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 55.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
| ✓ | 44.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 135 to 89 computations (34.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| cost-diff | 8 | (*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 73 |
| 0 | 19 | 65 |
| 1 | 38 | 65 |
| 2 | 109 | 57 |
| 3 | 322 | 41 |
| 4 | 854 | 41 |
| 5 | 3858 | 41 |
| 0 | 8458 | 41 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 x #s(literal -1 binary64)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| accuracy | 0.240634586707195 | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 4.822858074062182 | (*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| 48.0ms | 122× | 1 | valid |
| 10.0ms | 134× | 0 | valid |
Compiled 71 to 15 computations (78.9% saved)
ival-div: 33.0ms (66.3% of total)ival-sub: 7.0ms (14.1% of total)adjust: 4.0ms (8% of total)ival-mult: 4.0ms (8% of total)ival-add: 2.0ms (4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
| Outputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 4 x) 2))) |
(+ 2 (* x (- (* x (+ 4 (* -4 x))) 2))) |
-2 |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 3)) |
(/ (- (* 2 (/ 1 x)) 2) (pow x 3)) |
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(/ (- (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3)))) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | ((* (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (- x -1)) (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1)) |
| 0.0ms | x | @ | -inf | ((* (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (- x -1)) (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1)) |
| 0.0ms | x | @ | 0 | ((* (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (- x -1)) (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- (- (- x 1) x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 222 |
| 1 | 203 | 214 |
| 2 | 578 | 203 |
| 3 | 1492 | 195 |
| 4 | 4710 | 195 |
| 0 | 8117 | 184 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
2 |
(+ 2 (* 2 (pow x 2))) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(+ 2 (* -2 x)) |
(+ 2 (* x (- (* 4 x) 2))) |
(+ 2 (* x (- (* x (+ 4 (* -4 x))) 2))) |
-2 |
(/ -2 (pow x 2)) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ -2 (pow x 3)) |
(/ (- (* 2 (/ 1 x)) 2) (pow x 3)) |
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(/ (- (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3)))) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))) |
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 3))) |
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 3))) |
| Outputs |
|---|
2 |
#s(literal 2 binary64) |
(+ 2 (* 2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) |
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(+ 2 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* 4 x) 2))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
(+ 2 (* x (- (* x (+ 4 (* -4 x))) 2))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal 4 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ -2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -2 binary64) x) x) |
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) |
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) |
(-.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) |
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/ -2 (pow x 3)) |
(/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* 2 (/ 1 x)) 2) (pow x 3)) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* 2 (/ 1 x)) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ (* 2 (/ 1 x)) (* 4 (/ 1 (pow x 3)))) (+ 2 (/ 4 (pow x 2)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- 2 (* 2 (/ 1 x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 4 (/ 1 x))) x))) x))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 63 |
| 0 | 19 | 55 |
| 1 | 103 | 55 |
| 2 | 1028 | 55 |
| 0 | 8677 | 55 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.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 #s(literal 1 binary64) x)))) |
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#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) |
(neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) |
Compiled 9 236 to 835 computations (91% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 309 | 2 | 311 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 310 | 9 | 319 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
| ✓ | 99.6% | (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| 92.1% | (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) | |
| 44.9% | (*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) | |
| ✓ | 44.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| ✓ | 55.5% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
| ✓ | 55.2% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| ✓ | 55.6% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
| ✓ | 44.8% | #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Compiled 405 to 167 computations (58.8% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #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 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x) x)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) |
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
| 99.6% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
2 calls:
| 6.0ms | x |
| 2.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.9% | 1 | x |
| 44.9% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
Total -0.4b remaining (-1.1%)
Threshold costs -0.4b (-1.1%)
| Inputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.8% | 1 | x |
| 44.8% | 1 | (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.0 |
Compiled 14 to 11 computations (21.4% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 119 |
| 1 | 69 | 119 |
| 2 | 166 | 107 |
| 3 | 595 | 101 |
| 4 | 1922 | 91 |
| 5 | 6103 | 91 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(if (<=.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 #s(approx (/ (/ (- (- (- x 1) x) 1) (+ (* x x) -1)) (- x -1)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 12 | 27 |
| 1 | 66 | 27 |
| 2 | 644 | 27 |
| 0 | 9080 | 25 |
| 0 | 63 | 231 |
| 1 | 183 | 227 |
| 2 | 498 | 209 |
| 3 | 1463 | 205 |
| 4 | 4118 | 205 |
| 0 | 8135 | 194 |
| 0 | 74 | 222 |
| 1 | 203 | 214 |
| 2 | 578 | 203 |
| 3 | 1492 | 195 |
| 4 | 4710 | 195 |
| 0 | 8117 | 184 |
| 0 | 24 | 113 |
| 0 | 35 | 110 |
| 1 | 177 | 110 |
| 2 | 1498 | 110 |
| 0 | 8865 | 108 |
| 0 | 83 | 316 |
| 1 | 228 | 306 |
| 2 | 585 | 287 |
| 3 | 1812 | 270 |
| 4 | 5165 | 270 |
| 0 | 8126 | 261 |
| 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× | node limit |
| 1× | iter limit |
Compiled 261 to 124 computations (52.5% saved)
(abs x)
Compiled 294 to 122 computations (58.5% saved)
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