
Time bar (total: 6.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 554.0ms | 8 256× | 0 | valid |
ival-exp: 81.0ms (32.6% of total)ival-mult: 77.0ms (31% of total)ival-sub: 41.0ms (16.5% of total)ival-neg: 36.0ms (14.5% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 31.0ms | 512× | 0 | valid |
Compiled 57 to 22 computations (61.4% saved)
ival-exp: 5.0ms (34.2% of total)ival-mult: 4.0ms (27.4% of total)ival-sub: 3.0ms (20.5% of total)ival-neg: 2.0ms (13.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 30 | 13 |
| 2 | 78 | 13 |
| 3 | 160 | 13 |
| 4 | 286 | 13 |
| 5 | 416 | 13 |
| 6 | 654 | 13 |
| 7 | 1003 | 13 |
| 8 | 1665 | 13 |
| 9 | 3084 | 13 |
| 10 | 6337 | 13 |
| 0 | 6 | 7 |
| 0 | 10 | 7 |
| 1 | 22 | 6 |
| 2 | 55 | 6 |
| 3 | 110 | 6 |
| 4 | 197 | 6 |
| 5 | 300 | 6 |
| 6 | 479 | 6 |
| 7 | 806 | 6 |
| 8 | 1310 | 6 |
| 9 | 2148 | 6 |
| 10 | 4361 | 6 |
| 11 | 7467 | 6 |
| 0 | 8154 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(abs x)
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 7 to 6 computations (14.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) | |
| cost-diff | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 23 |
| 0 | 10 | 23 |
| 1 | 22 | 21 |
| 2 | 55 | 21 |
| 3 | 110 | 21 |
| 4 | 197 | 21 |
| 5 | 300 | 21 |
| 6 | 479 | 21 |
| 7 | 806 | 21 |
| 8 | 1310 | 21 |
| 9 | 2148 | 21 |
| 10 | 4361 | 21 |
| 11 | 7467 | 21 |
| 0 | 8154 | 19 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
| Outputs |
|---|
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
#s(literal 1 binary64) |
(*.f64 x x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) | |
| accuracy | 0.00390625 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) | |
| accuracy | 0.01171875 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 32.0ms | 256× | 0 | valid |
Compiled 25 to 8 computations (68% saved)
ival-exp: 2.0ms (28.2% of total)ival-mult: 2.0ms (28.2% of total)ival-sub: 1.0ms (14.1% of total)ival-neg: 1.0ms (14.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 0.0ms | x | @ | -inf | ((neg (- 1 (* x x))) (exp (neg (- 1 (* x x)))) (- 1 (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 92 |
| 1 | 81 | 86 |
| 2 | 247 | 82 |
| 3 | 609 | 79 |
| 4 | 1321 | 79 |
| 5 | 2019 | 79 |
| 6 | 3188 | 79 |
| 7 | 5672 | 79 |
| 0 | 8234 | 70 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
1 |
(+ 1 (* -1 (pow x 2))) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
| Outputs |
|---|
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (pow x 2))) |
(fma.f64 (neg.f64 x) x #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)) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ 1 (pow x 2)) 1)) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 37 | 19 |
| 2 | 231 | 19 |
| 3 | 1932 | 19 |
| 0 | 9322 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 x 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 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x 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 (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 0 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal 1 binary64))) |
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(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))) (/.f64 (*.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (E.f64))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) x)))) |
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (exp.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) x))) |
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x))) (log.f64 (E.f64))) |
(+.f64 (log.f64 (E.f64)) (log.f64 (pow.f64 (exp.f64 x) (neg.f64 x)))) |
(+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(log.f64 (exp.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) x) |
(*.f64 (neg.f64 (neg.f64 x)) x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 10 671 to 1 805 computations (83.1% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 5 | 511 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 507 | 5 | 512 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
| ▶ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| ▶ | 52.2% | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
| ▶ | 87.0% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
| ▶ | 74.9% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
Compiled 110 to 90 computations (18.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 4 binary64)) | |
| cost-diff | 0 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (exp.f64 x) | |
| cost-diff | 0 | (pow.f64 (exp.f64 x) x) | |
| cost-diff | 1 | (/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) | |
| cost-diff | 0 | (exp.f64 #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) | |
| cost-diff | 1 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) | |
| cost-diff | 0 | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 129 |
| 0 | 39 | 128 |
| 1 | 64 | 120 |
| 2 | 126 | 120 |
| 3 | 256 | 120 |
| 4 | 501 | 116 |
| 5 | 1012 | 116 |
| 6 | 2312 | 116 |
| 7 | 3557 | 116 |
| 8 | 6740 | 116 |
| 0 | 8321 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(exp.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 x) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(exp.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 x) |
x |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
x |
#s(literal 4 binary64) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(exp.f64 #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (exp.f64 #s(literal -1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 0.26010988958839376 | (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) | |
| accuracy | 8.52833736245151 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (pow.f64 (exp.f64 x) x) | |
| accuracy | 0.0 | (exp.f64 x) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.01953125 | (/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (exp.f64 #s(literal -1 binary64)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) | |
| accuracy | 16.057949023706506 | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) | |
| accuracy | 0.01171875 | (exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) | |
| accuracy | 31.323361387319583 | #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 52.0ms | 256× | 0 | valid |
Compiled 115 to 24 computations (79.1% saved)
ival-mult: 12.0ms (30.6% of total)ival-exp: 9.0ms (22.9% of total)ival-pow: 8.0ms (20.4% of total)ival-add: 4.0ms (10.2% of total)ival-e: 3.0ms (7.6% of total)ival-div: 2.0ms (5.1% of total)ival-sub: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(exp.f64 #s(literal -1 binary64)) |
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 x) |
(E.f64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
1 |
(+ 1 (pow x 2)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(pow x 4) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (exp -1)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ (exp (pow x 2)) (E)) |
(exp (pow x 2)) |
(exp x) |
(* 1/2 (* (pow x 4) (exp -1))) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2)))) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4))))) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4)) |
| 2.0ms | x | @ | inf | ((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4)) |
| 1.0ms | x | @ | -inf | ((exp (+ (* x x) -1)) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (neg (- 1 (* x x))) (* (+ (* x x) 1) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* x x) 1) (exp -1) (/ (pow (exp x) x) (E)) (pow (exp x) x) (exp x) (E) (* (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (exp -1)) (exp (neg (- 1 (* x x)))) (+ (* (pow x 4) 1/2) (+ (* x x) 1)) (pow x 4)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 297 |
| 1 | 263 | 285 |
| 2 | 720 | 261 |
| 3 | 1685 | 251 |
| 4 | 2745 | 251 |
| 5 | 4666 | 251 |
| 6 | 5677 | 251 |
| 7 | 7088 | 251 |
| 0 | 8059 | 216 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
-1 |
(- (pow x 2) 1) |
1 |
(+ 1 (pow x 2)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(pow x 4) |
(exp (- (pow x 2) 1)) |
(pow x 2) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (exp -1)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ (exp (pow x 2)) (E)) |
(exp (pow x 2)) |
(exp x) |
(* 1/2 (* (pow x 4) (exp -1))) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2)))) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4))))) |
(* 1/2 (pow x 4)) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
| Outputs |
|---|
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ 1 (E)) |
(exp.f64 #s(literal -1 binary64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (exp.f64 #s(literal -1 binary64))) |
(+ 1 (* (pow x 2) (+ 1 (* 1/2 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/2 (* 1/6 (pow x 2))))))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #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)) |
(* (pow x 2) (exp -1)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ (exp (pow x 2)) (E)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(exp (pow x 2)) |
(pow.f64 (exp.f64 x) x) |
(exp x) |
(exp.f64 x) |
(* 1/2 (* (pow x 4) (exp -1))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (/ (exp -1) (pow x 2)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) x) (/.f64 x (E.f64))) |
(* (pow x 4) (+ (* 1/2 (exp -1)) (+ (/ (exp -1) (pow x 2)) (/ (exp -1) (pow x 4))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(* 1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ 1/2 (/ 1 (pow x 2)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 4) (+ 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 111 |
| 0 | 39 | 110 |
| 1 | 141 | 102 |
| 2 | 916 | 98 |
| 0 | 8681 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (neg (- 1 (* x x))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(exp.f64 #s(literal -1 binary64)) |
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
(pow.f64 (exp.f64 x) x) |
(exp.f64 x) |
(E.f64) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 x #s(literal 4 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (sqrt.f64 (E.f64)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (sqrt.f64 (E.f64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (cbrt.f64 (E.f64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (exp.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (exp.f64 x) x))) (/.f64 #s(literal -1 binary64) (E.f64))) |
(*.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (cbrt.f64 (E.f64))))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (E.f64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (E.f64))))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (E.f64)))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (sqrt.f64 (E.f64)))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) (neg.f64 (exp.f64 #s(literal 2/3 binary64)))) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (cbrt.f64 (E.f64)))) |
(*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) (E.f64))) |
(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (E.f64))) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (E.f64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (E.f64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 #s(literal 2/3 binary64))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (cbrt.f64 (E.f64))))) |
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
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(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x (neg.f64 (*.f64 x #s(literal -1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x (neg.f64 (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 x x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(-.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (*.f64 x x)) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) |
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(*.f64 (neg.f64 x) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 x (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))) |
(*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))) |
(*.f64 x (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) |
Compiled 24 297 to 3 170 computations (87% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 020 | 6 | 1 026 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 024 | 7 | 1 031 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 57.0% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| ▶ | 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
| ▶ | 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| ▶ | 74.9% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
| ▶ | 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
Compiled 193 to 136 computations (29.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| cost-diff | 6 | (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) | |
| cost-diff | 4 | (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (fma.f64 x x #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| cost-diff | 0 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (/.f64 (*.f64 x x) (E.f64)) | |
| cost-diff | 0 | #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 1 | (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 194 |
| 0 | 45 | 185 |
| 1 | 79 | 181 |
| 2 | 161 | 181 |
| 3 | 339 | 175 |
| 4 | 988 | 169 |
| 5 | 2839 | 167 |
| 6 | 4529 | 166 |
| 7 | 6065 | 166 |
| 8 | 7381 | 166 |
| 0 | 8053 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
(E.f64) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
(E.f64) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
x |
(E.f64) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| accuracy | 0.11947250976844202 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.15853500976844204 | (/.f64 (*.f64 x x) (E.f64)) | |
| accuracy | 8.52833736245151 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) | |
| accuracy | 0.15853500976844204 | (/.f64 (*.f64 x x) (E.f64)) | |
| accuracy | 16.057949023706506 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal 1 binary64)) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.11947250976844202 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 16.057949023706506 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.15853500976844204 | (/.f64 (*.f64 x x) (E.f64)) | |
| accuracy | 16.057949023706506 | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) | |
| accuracy | 32.38530271894236 | #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) | |
| accuracy | 0.0 | (fma.f64 x x #s(literal -1 binary64)) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.015625 | (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
| 99.0ms | 256× | 0 | valid |
Compiled 150 to 27 computations (82% saved)
ival-exp: 19.0ms (36.3% of total)ival-pow: 10.0ms (19.1% of total)ival-mult: 8.0ms (15.3% of total)ival-div: 6.0ms (11.5% of total)ival-add: 4.0ms (7.6% of total)ival-e: 2.0ms (3.8% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| Outputs |
|---|
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E))) |
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(/ (pow x 2) (E)) |
(pow x 2) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
1 |
(+ 1 (pow x 2)) |
(exp (* (log (E)) (- (pow x 2) 1))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (exp -1)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(/ (exp (pow x 2)) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x))))) |
| 2.0ms | x | @ | inf | ((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x))))) |
| 2.0ms | x | @ | -inf | ((pow (E) (+ (* x x) -1)) (E) (+ (* x x) -1) (exp (neg (- 1 (* x x)))) (* (+ (* x x) 1) (exp -1)) (/ (* x x) (E)) (* x x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (+ (* -1 (/ -1 (E))) (/ (* x x) (E))) (exp (neg (- 1 (* x x)))) (/ -1 (E)) (+ (* (/ (* x x) (E)) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 310 |
| 1 | 281 | 258 |
| 2 | 784 | 230 |
| 3 | 1874 | 226 |
| 4 | 5118 | 226 |
| 5 | 6433 | 226 |
| 6 | 7340 | 226 |
| 0 | 8012 | 196 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E))) |
-1 |
(- (pow x 2) 1) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(/ (pow x 2) (E)) |
(pow x 2) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
1 |
(+ 1 (pow x 2)) |
(exp (* (log (E)) (- (pow x 2) 1))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(exp (- (pow x 2) 1)) |
(* (pow x 2) (exp -1)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(/ (exp (pow x 2)) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
| Outputs |
|---|
(/ 1 (E)) |
(exp.f64 #s(literal -1 binary64)) |
(+ (/ 1 (E)) (/ (* (pow x 2) (log (E))) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (E))) (/ (log (E)) (E)))) (/ 1 (E))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (* (pow x 2) (pow (log (E)) 3)) (E))) (* 1/2 (/ (pow (log (E)) 2) (E))))) (/ (log (E)) (E)))) (/ 1 (E))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(pow x 2) |
(*.f64 x x) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(exp (* (log (E)) (- (pow x 2) 1))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 2) (exp -1)) |
(/.f64 (*.f64 x x) (E.f64)) |
(* (pow x 2) (+ (exp -1) (/ (exp -1) (pow x 2)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/ (exp (pow x 2)) (E)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 x x)) (E.f64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 149 |
| 0 | 45 | 140 |
| 1 | 187 | 125 |
| 2 | 1487 | 125 |
| 0 | 8447 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64))) |
(/.f64 (*.f64 x x) (E.f64)) |
(*.f64 x x) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (pow.f64 (exp.f64 x) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (E.f64) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (pow.f64 (E.f64) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)))) |
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(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (E.f64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (E.f64)) #s(literal 1/2 binary64)) (*.f64 x x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (E.f64)) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64)) #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (exp.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 (*.f64 x x) (exp.f64 #s(literal -2/3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (E.f64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (exp.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (E.f64) (*.f64 (E.f64) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (neg.f64 (E.f64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 (E.f64) (*.f64 (E.f64) (*.f64 x x))) (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (E.f64) (pow.f64 x #s(literal -2 binary64)) (E.f64)) (pow.f64 (/.f64 x (E.f64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) (E.f64) (E.f64)) (exp.f64 #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (+.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 #s(literal -2/3 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal 2 binary64))) (pow.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (E.f64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (exp.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (exp.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (E.f64))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 x x) (*.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (E.f64))) (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))) (E.f64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))) (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64)))) |
(-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (E.f64))) |
(+.f64 (/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64)) (exp.f64 #s(literal -2 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))) (neg.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (E.f64))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(+.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64))) |
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
Compiled 30 985 to 3 231 computations (89.6% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 234 | 15 | 1 249 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 236 | 20 | 1 256 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 57.0% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) | |
| ✓ | 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
| ▶ | 52.2% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
| ▶ | 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
| 74.9% | #s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) | |
| 85.4% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| ▶ | 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| ▶ | 87.0% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| ▶ | 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| ✓ | 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) | |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) | |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
Compiled 762 to 518 computations (32% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (E.f64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) | |
| cost-diff | 6 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (/.f64 x (E.f64)) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| cost-diff | 2 | (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) | |
| cost-diff | 4 | (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) | |
| cost-diff | 2 | (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (E.f64) | |
| cost-diff | 0 | #s(approx (+ (* x x) 1) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) | |
| cost-diff | 0 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) x) | |
| cost-diff | 0 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| cost-diff | 5 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 313 |
| 0 | 63 | 319 |
| 1 | 114 | 314 |
| 2 | 323 | 277 |
| 3 | 913 | 263 |
| 4 | 1516 | 257 |
| 5 | 2812 | 257 |
| 6 | 4498 | 257 |
| 7 | 5580 | 257 |
| 8 | 6929 | 257 |
| 9 | 7320 | 257 |
| 10 | 7618 | 257 |
| 0 | 8246 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
#s(literal -1 binary64) |
(E.f64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 1 binary64) |
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
x |
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/.f64 x (E.f64)) |
(E.f64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) |
#s(literal 1 binary64) |
(/.f64 (E.f64) (*.f64 x x)) |
(E.f64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 4 binary64))) |
(*.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.f64 #s(literal -1 binary64) (E.f64)) |
#s(literal -1 binary64) |
(E.f64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(E.f64) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
#s(literal 1 binary64) |
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) |
(E.f64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
x |
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (E.f64)) #s(literal 1/2 binary64)) |
(/.f64 x (E.f64)) |
(E.f64) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) |
(*.f64 (/.f64 x (E.f64)) x) |
#s(literal 1 binary64) |
(/.f64 (E.f64) (*.f64 x x)) |
(E.f64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(fma.f64 x x #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.11947250976844202 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.34241489099886746 | (/.f64 (E.f64) (*.f64 x x)) | |
| accuracy | 0.6700524326052176 | (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) | |
| accuracy | 8.52833736245151 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| accuracy | 0.11328125 | (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) | |
| accuracy | 0.11947250976844202 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.34765625 | (/.f64 x (E.f64)) | |
| accuracy | 8.52833736245151 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 0.27991489099886746 | (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 16.057949023706506 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) | |
| accuracy | 0.0 | (E.f64) | |
| accuracy | 0.11947250976844202 | (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 16.057949023706506 | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) | |
| accuracy | 30.172722772005045 | #s(approx (+ (* x x) 1) #s(literal 1 binary64)) | |
| accuracy | 0.11947250976844202 | (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) | |
| accuracy | 0.13671875 | (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) | |
| accuracy | 0.2444848895883938 | (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) | |
| accuracy | 8.52833736245151 | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| 70.0ms | 256× | 0 | valid |
Compiled 251 to 34 computations (86.5% saved)
ival-mult: 14.0ms (29.4% of total)ival-div: 12.0ms (25.2% of total)ival-add: 7.0ms (14.7% of total)ival-pow: 5.0ms (10.5% of total)ival-exp: 4.0ms (8.4% of total)ival-e: 2.0ms (4.2% of total)ival-neg: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(*.f64 (neg.f64 x) x) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
(E.f64) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(/.f64 x (E.f64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(/.f64 (E.f64) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
| Outputs |
|---|
(* -1/2 (pow x 4)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(* -1 (pow x 2)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
1 |
(+ 1 (pow x 2)) |
(E) |
(+ (E) (* -1 (* (pow x 2) (E)))) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E)))) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E)))) |
(* 1/2 (/ (pow x 3) (E))) |
(/ x (E)) |
(/ (pow x 2) (E)) |
(/ (E) (pow x 2)) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(exp (- (pow x 2) 1)) |
(/ (exp (pow x 2)) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2)) |
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2)) |
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | inf | ((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E))) |
| 4.0ms | x | @ | 0 | ((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E))) |
| 3.0ms | x | @ | -inf | ((* (* (neg x) x) (* 1/2 (* x x))) (+ (* (* (* (neg x) x) (* 1/2 (* x x))) (/ -1 (E))) (/ (+ (* x x) 1) (E))) (exp (neg (- 1 (* x x)))) (* (neg x) x) (/ (pow (exp x) x) (E)) (/ (+ (* x x) 1) (E)) (+ (* x x) 1) (E) (/ 1 (/ (E) (+ (* x x) 1))) (/ (pow (exp x) x) (E)) (/ (E) (+ (* x x) 1)) (+ (* x (* (/ x (E)) (* 1/2 (* x x)))) (/ (+ (* x x) 1) (E))) (* (/ x (E)) (* 1/2 (* x x))) (exp (neg (- 1 (* x x)))) (/ x (E)) (+ (* (/ 1 (/ (E) (* x x))) (* (* x x) 1/2)) (/ (+ (* x x) 1) (E))) (/ 1 (/ (E) (* x x))) (exp (neg (- 1 (* x x)))) (/ (E) (* x x)) (/ (+ (* x x) 1) (E))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 318 |
| 1 | 265 | 294 |
| 2 | 766 | 274 |
| 3 | 2723 | 263 |
| 0 | 8247 | 242 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (pow x 4)) |
(/ 1 (E)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(exp -1) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(* -1 (pow x 2)) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
1 |
(+ 1 (pow x 2)) |
(E) |
(+ (E) (* -1 (* (pow x 2) (E)))) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E)))) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E)))) |
(* 1/2 (/ (pow x 3) (E))) |
(/ x (E)) |
(/ (pow x 2) (E)) |
(/ (E) (pow x 2)) |
(* 1/2 (/ (pow x 4) (E))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(exp (- (pow x 2) 1)) |
(/ (exp (pow x 2)) (E)) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2)) |
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2)) |
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2)) |
| Outputs |
|---|
(* -1/2 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64)) |
(/ 1 (E)) |
(exp.f64 #s(literal -1 binary64)) |
(+ (/ 1 (E)) (/ (pow x 2) (E))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (* (pow x 2) (+ (* 1/2 (/ (pow x 2) (E))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(exp -1) |
(exp.f64 #s(literal -1 binary64)) |
(+ (exp -1) (* (pow x 2) (exp -1))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* 1/2 (* (pow x 2) (exp -1)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(+ (exp -1) (* (pow x 2) (+ (exp -1) (* (pow x 2) (+ (* 1/6 (* (pow x 2) (exp -1))) (* 1/2 (exp -1))))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(+ (* (pow x 2) (+ (* (pow x 2) (+ (* 1/6 (/ (pow x 2) (E))) (* 1/2 (/ 1 (E))))) (/ 1 (E)))) (/ 1 (E))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(E) |
(E.f64) |
(+ (E) (* -1 (* (pow x 2) (E)))) |
(fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64)) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (E)) (E)))) |
(fma.f64 (*.f64 (E.f64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (E.f64)) |
(+ (E) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (E))) (* -1 (E)))) (E)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))) |
(* 1/2 (/ (pow x 3) (E))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (E.f64)) #s(literal 1/2 binary64)) |
(/ x (E)) |
(/.f64 x (E.f64)) |
(/ (pow x 2) (E)) |
(/.f64 (*.f64 x x) (E.f64)) |
(/ (E) (pow x 2)) |
(/.f64 (E.f64) (*.f64 x x)) |
(* 1/2 (/ (pow x 4) (E))) |
(*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (E.f64)) #s(literal 1/2 binary64)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (/ 1 (* (pow x 2) (E))))) |
(*.f64 (/.f64 x (E.f64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64) x)) |
(* (pow x 4) (+ (* 1/2 (/ 1 (E))) (+ (/ 1 (* (pow x 2) (E))) (/ 1 (* (pow x 4) (E)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64))) |
(exp (- (pow x 2) 1)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/ (exp (pow x 2)) (E)) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(* (pow x 2) (+ (/ 1 (E)) (/ 1 (* (pow x 2) (E))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(/ (+ (E) (* -1 (/ (E) (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) x) x) |
(/ (- (+ (E) (/ (E) (pow x 4))) (/ (E) (pow x 2))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (E.f64) (pow.f64 x #s(literal 4 binary64))) (E.f64)) (/.f64 (E.f64) (*.f64 x x))) (*.f64 x x)) |
(/ (- (+ (E) (* -1 (/ (E) (pow x 6)))) (+ (* -1 (/ (E) (pow x 4))) (/ (E) (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (E.f64) (/.f64 (E.f64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))) x) x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 239 |
| 0 | 63 | 243 |
| 1 | 236 | 208 |
| 2 | 2020 | 204 |
| 0 | 8589 | 193 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(*.f64 (neg.f64 x) x) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
(E.f64) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(/.f64 x (E.f64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
(/.f64 (E.f64) (*.f64 x x)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) x) x) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) x)) x) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 (neg.f64 x) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) x))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) |
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) x))) |
(*.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 #s(literal 2 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (E.f64)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 x x #s(literal 1 binary64))) (E.f64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) x)) (E.f64))))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (neg.f64 (E.f64)) (*.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (neg.f64 (E.f64))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (E.f64) (*.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (E.f64))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64) (*.f64 (neg.f64 (E.f64)) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64) (*.f64 (E.f64) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (exp.f64 #s(literal 2 binary64)))) |
(*.f64 (+.f64 (E.f64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (E.f64)))) |
(*.f64 (fma.f64 (E.f64) #s(literal -1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (E.f64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 (E.f64)) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (neg.f64 (E.f64))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
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(neg.f64 (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x x)) |
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(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64))) (E.f64))) |
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(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (E.f64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (E.f64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64))) |
(pow.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (exp.f64 #s(literal -2 binary64))) (-.f64 (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64)))) |
(/.f64 (+.f64 (exp.f64 #s(literal -3 binary64)) (*.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (exp.f64 #s(literal -2 binary64)) (-.f64 (*.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x))))) |
(/.f64 (fma.f64 (exp.f64 #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (exp.f64 #s(literal -3 binary64))) (fma.f64 (exp.f64 #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (E.f64)))) (neg.f64 (sqrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (E.f64)))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (E.f64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (E.f64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (E.f64))) (sqrt.f64 (E.f64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64))) (cbrt.f64 (E.f64))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (E.f64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (E.f64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64))) |
(/.f64 (exp.f64 #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64))) |
(/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 (E.f64))) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (E.f64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cbrt.f64 (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal 2/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (E.f64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (E.f64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (E.f64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (E.f64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (E.f64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64))) |
(fma.f64 (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (E.f64)) x) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (exp.f64 #s(literal 2/3 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (E.f64)) x) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (E.f64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (E.f64))) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (cbrt.f64 (E.f64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (E.f64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 (E.f64))) (pow.f64 (E.f64) #s(literal -1/2 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) (exp.f64 #s(literal 2/3 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1/2 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (sqrt.f64 (E.f64))) (/.f64 x (sqrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (exp.f64 #s(literal 2/3 binary64))) (/.f64 x (cbrt.f64 (E.f64))) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x x) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (*.f64 (/.f64 x (E.f64)) x) #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (E.f64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 x (E.f64)) x (exp.f64 #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (neg.f64 x) x) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (E.f64)) x)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (*.f64 (/.f64 x (E.f64)) x)) |
(fma.f64 (*.f64 x x) (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (E.f64)) (exp.f64 #s(literal -1 binary64))) |
(fma.f64 x (/.f64 x (E.f64)) (exp.f64 #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (E.f64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (E.f64))) |
(-.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 x (E.f64)) x))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (E.f64))) |
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (/.f64 x (E.f64)) x)) |
(+.f64 (*.f64 (/.f64 x (E.f64)) x) (exp.f64 #s(literal -1 binary64))) |
Compiled 26 045 to 3 076 computations (88.2% saved)
33 alts after pruning (24 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 915 | 13 | 928 |
| Fresh | 0 | 11 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 915 | 33 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | 100.0% | (exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
| 57.0% | (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) | |
| 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) | |
| ✓ | 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
| ✓ | 52.2% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
| ✓ | 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
| 74.9% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) | |
| 52.1% | #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) | |
| 74.9% | #s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) | |
| 85.4% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| ✓ | 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| ✓ | 87.0% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| ✓ | 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| 86.7% | #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) | |
| 35.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))))) | |
| 35.8% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) | |
| 35.9% | #s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))) | |
| 35.8% | #s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))) | |
| ✓ | 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) | |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) | |
| 25.6% | #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
Compiled 1 654 to 664 computations (59.9% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))) |
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) |
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(pow.f64 (E.f64) (fma.f64 x x #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (exp.f64 #s(literal -1 binary64)))) |
(/.f64 (pow.f64 (exp.f64 x) x) (E.f64)) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
5 calls:
| 18.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 10.0ms | x |
| 9.0ms | (*.f64 x x) |
| 9.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 8.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 100.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 100.0% | 1 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))) |
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) |
(exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x))) |
5 calls:
| 23.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 9.0ms | x |
| 8.0ms | (*.f64 x x) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 7.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | x |
| 99.6% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 99.6% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 99.6% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 99.6% | 2 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (/.f64 x (E.f64)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (E.f64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (E.f64) x) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (E.f64) (*.f64 x x)) (*.f64 (E.f64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (*.f64 (E.f64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (E.f64) (*.f64 x x)) (E.f64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (E.f64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))))) |
#s(approx (exp (neg (- 1 (* x x)))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 #s(approx (neg (- 1 (* x x))) #s(literal -1 binary64))) |
#s(approx (exp (neg (- 1 (* x x)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (E.f64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (E.f64) (*.f64 x x)) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
5 calls:
| 50.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 8.0ms | x |
| 7.0ms | (*.f64 x x) |
| 7.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 6.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 1 | x |
| 87.0% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 87.0% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 87.0% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 87.0% | 1 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) (/.f64 x (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (/.f64 x (E.f64)) x) x) (*.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 (E.f64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (E.f64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 x (/.f64 (E.f64) x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
5 calls:
| 22.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 6.0ms | x |
| 5.0ms | (*.f64 x x) |
| 5.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 4.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 86.7% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 86.7% | 1 | x |
| 86.7% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 86.7% | 1 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
| Outputs |
|---|
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
5 calls:
| 18.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 3.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 3.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 85.4% | 1 | x |
| 85.4% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 85.4% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 85.4% | 1 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 x (/.f64 (E.f64) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) #s(approx (/ (E) (+ (* x x) 1)) (fma.f64 (neg.f64 (E.f64)) (*.f64 x x) (E.f64))))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (*.f64 x x))))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (/.f64 (E.f64) (fma.f64 x x #s(literal 1 binary64))))) |
#s(approx (/ (pow (exp x) x) (E)) (-.f64 (/.f64 (*.f64 x x) (E.f64)) (/.f64 #s(literal -1 binary64) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (*.f64 x x) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) (E.f64) (neg.f64 (E.f64))) (*.f64 (neg.f64 (E.f64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (E.f64))))) |
| Outputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 4.0ms | x |
| 3.0ms | (*.f64 x x) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 3.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 3.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.9% | 1 | x |
| 74.9% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 74.9% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 74.9% | 1 | (*.f64 x x) |
| 74.9% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
Compiled 22 to 18 computations (18.2% saved)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (/.f64 (*.f64 x x) (E.f64)))) |
| Outputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
#s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x))) |
5 calls:
| 7.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 2 | x |
| 74.0% | 2 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 74.0% | 2 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 74.0% | 2 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 74.0% | 2 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
| Outputs |
|---|
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
5 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| 1.0ms | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 1.0ms | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
| 52.2% | 1 | (-.f64 #s(literal 1 binary64) (*.f64 x x)) |
| 52.2% | 1 | x |
| 52.2% | 1 | (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| 52.2% | 1 | (*.f64 x x) |
Compiled 22 to 18 computations (18.2% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7435656827432728 | 59840.23349735226 |
Compiled 10 to 10 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.8771455247755112e-5 | 1.7435656827432728 |
Compiled 10 to 10 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 203 |
| 1 | 79 | 203 |
| 2 | 128 | 198 |
| 3 | 236 | 198 |
| 4 | 496 | 197 |
| 5 | 1205 | 197 |
| 6 | 3280 | 197 |
| 7 | 6749 | 197 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
| Outputs |
|---|
(exp.f64 (fma.f64 x x #s(literal -1 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (E.f64))))) (exp.f64 #s(approx (+ (* x x) -1) (*.f64 x x)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (E.f64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 x (*.f64 (/.f64 x (E.f64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64)))) |
#s(approx (exp (neg (- 1 (* x x)))) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (fma.f64 (/.f64 (*.f64 x x) (E.f64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (E.f64))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (exp (neg (- 1 (* x x)))) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))) |
(if (<=.f64 (*.f64 x x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) #s(approx (/ (pow (exp x) x) (E)) #s(approx (* (+ (* x x) 1) (exp -1)) (*.f64 (/.f64 x (E.f64)) x)))) |
#s(approx (/ (pow (exp x) x) (E)) (/.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) (E.f64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 310 |
| 1 | 281 | 258 |
| 2 | 784 | 230 |
| 3 | 1874 | 226 |
| 4 | 5118 | 226 |
| 5 | 6433 | 226 |
| 6 | 7340 | 226 |
| 0 | 8012 | 196 |
| 0 | 30 | 92 |
| 1 | 81 | 86 |
| 2 | 247 | 82 |
| 3 | 609 | 79 |
| 4 | 1321 | 79 |
| 5 | 2019 | 79 |
| 6 | 3188 | 79 |
| 7 | 5672 | 79 |
| 0 | 8234 | 70 |
| 0 | 25 | 111 |
| 0 | 39 | 110 |
| 1 | 141 | 102 |
| 2 | 916 | 98 |
| 0 | 8681 | 98 |
| 0 | 31 | 149 |
| 0 | 45 | 140 |
| 1 | 187 | 125 |
| 2 | 1487 | 125 |
| 0 | 8447 | 123 |
| 0 | 6 | 21 |
| 0 | 10 | 21 |
| 1 | 37 | 19 |
| 2 | 231 | 19 |
| 3 | 1932 | 19 |
| 0 | 9322 | 16 |
| 0 | 88 | 297 |
| 1 | 263 | 285 |
| 2 | 720 | 261 |
| 3 | 1685 | 251 |
| 4 | 2745 | 251 |
| 5 | 4666 | 251 |
| 6 | 5677 | 251 |
| 7 | 7088 | 251 |
| 0 | 8059 | 216 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 491 to 280 computations (43% saved)
(abs x)
Compiled 450 to 154 computations (65.8% saved)
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