
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75.9% | 68.7% | 21.9% | 0.1% | 0% | 9.4% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 86% | 71.8% | 11.7% | 0.1% | 0% | 16.4% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.4% | 73.4% | 6% | 0.1% | 0% | 20.5% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 12 to 7 computations (41.7% saved)
| 669.0ms | 8 256× | 0 | valid |
| 86.0ms | 306× | 0 | invalid |
ival-mult: 140.0ms (44.1% of total)ival-expm1: 132.0ms (41.6% of total)ival->: 35.0ms (11% of total)exact: 7.0ms (2.2% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 a x)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 a x) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) | cancellation | 121 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 121 | 0 |
| - | 0 | 135 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 121 | 0 | 0 |
| - | 0 | 0 | 135 |
| number | freq |
|---|---|
| 0 | 135 |
| 1 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 42 to 22 computations (47.6% saved)
ival-exp: 4.0ms (33.7% of total)ival-mult: 4.0ms (33.7% of total)ival-expm1: 3.0ms (25.3% 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 | 16 | 36 |
| 1 | 39 | 36 |
| 2 | 73 | 36 |
| 3 | 193 | 36 |
| 4 | 778 | 36 |
| 5 | 6198 | 36 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 17 | 6 |
| 2 | 32 | 6 |
| 3 | 73 | 6 |
| 4 | 241 | 6 |
| 5 | 1878 | 6 |
| 6 | 5696 | 6 |
| 0 | 8242 | 4 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(sort a x)
Compiled 6 to 6 computations (0% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.9% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 6 to 6 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | (exp.f64 (*.f64 a x)) | |
| cost-diff | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 32 | 16 |
| 3 | 73 | 16 |
| 4 | 241 | 16 |
| 5 | 1878 | 16 |
| 6 | 5696 | 16 |
| 0 | 8242 | 14 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(exp.f64 (*.f64 a x)) |
(pow.f64 (exp.f64 x) a) |
(*.f64 a x) |
(*.f64 x a) |
a |
x |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 a x) | |
| accuracy | 0.020788781620653757 | (exp.f64 (*.f64 a x)) | |
| accuracy | 26.926212736121634 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 12.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-exp: 2.0ms (34.9% of total)ival-mult: 2.0ms (34.9% of total)ival-expm1: 2.0ms (34.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
| Outputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 0.0ms | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 201 |
| 1 | 236 | 201 |
| 2 | 889 | 193 |
| 3 | 3196 | 193 |
| 4 | 5768 | 193 |
| 0 | 8321 | 168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
| Outputs |
|---|
(* a x) |
(*.f64 x a) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 x a #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 x a)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 31 | 13 |
| 2 | 177 | 13 |
| 3 | 1792 | 13 |
| 0 | 8079 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))) (/.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (expm1.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (expm1.f64 (*.f64 x a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (neg.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a))))) (/.f64 (expm1.f64 (*.f64 x a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) a)))) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) #s(literal 1 binary64))) (expm1.f64 (*.f64 x a))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 x a)))) (expm1.f64 (*.f64 x a))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (expm1.f64 (*.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (*.f64 x a)) (expm1.f64 (*.f64 x a))))) |
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(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a)) |
(+.f64 (log.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (*.f64 (/.f64 x #s(literal 2 binary64)) a)) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))) |
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))) |
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) (*.f64 (/.f64 x #s(literal 2 binary64)) a)) |
(+.f64 #s(literal 0 binary64) (*.f64 x a)) |
(+.f64 (*.f64 x a) #s(literal 0 binary64)) |
(log.f64 (pow.f64 (exp.f64 x) a)) |
Compiled 12 018 to 1 184 computations (90.1% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 9 | 395 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 387 | 9 | 396 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (-.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) #s(literal 1 binary64)) | |
| ▶ | 23.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 22.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 23.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 21.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 60.1% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)) | |
| 61.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) | |
| 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 304 to 198 computations (34.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 x a #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x a) | |
| cost-diff | 0 | (expm1.f64 (*.f64 x a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 212 |
| 0 | 47 | 212 |
| 1 | 94 | 212 |
| 2 | 285 | 212 |
| 3 | 1142 | 212 |
| 4 | 3344 | 212 |
| 5 | 7164 | 212 |
| 0 | 8261 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
x |
#s(literal 1 binary64) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 a a) |
a |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(*.f64 x a) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
(expm1.f64 (*.f64 a x)) |
(*.f64 x a) |
(*.f64 a x) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
x |
a |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
x |
#s(literal 1 binary64) |
(*.f64 x a) |
(*.f64 a x) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) |
(*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) |
(*.f64 a a) |
a |
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) |
(*.f64 x a) |
(*.f64 a x) |
x |
#s(literal 1/6 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.4157055769441298 | (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) | |
| accuracy | 4.303111257715755 | (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) | |
| accuracy | 22.28592007578237 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) a) | |
| accuracy | 0.08203125 | (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) | |
| accuracy | 22.357979551341593 | #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (fma.f64 x a #s(literal 1 binary64)) | |
| accuracy | 22.639133615858793 | #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 23.02806366446187 | #s(approx (exp (* a x)) #s(literal 1 binary64)) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 x a) | |
| accuracy | 0.03125 | (expm1.f64 (*.f64 x a)) |
| 59.0ms | 256× | 0 | valid |
Compiled 155 to 26 computations (83.2% saved)
ival-mult: 19.0ms (54.1% of total)ival-add: 7.0ms (19.9% of total)const: 4.0ms (11.4% of total)ival-expm1: 3.0ms (8.5% of total)ival-exp: 2.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) |
(*.f64 #s(literal 1/2 binary64) a) |
| Outputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(+ 1 (* 1/2 (* a x))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(* 1/2 a) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(* a (+ x (/ 1 a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a)) |
| 2.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a)) |
| 2.0ms | a | @ | inf | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a)) |
| 2.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a)) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 212 | 869 |
| 1 | 774 | 849 |
| 2 | 3243 | 801 |
| 0 | 8633 | 731 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(+ 1 (* 1/2 (* a x))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(* 1/2 a) |
(- (exp (* a x)) 1) |
(exp (* a x)) |
(* a (+ x (/ 1 a))) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(* 1/2 a) |
(*.f64 #s(literal 1/2 binary64) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) x) a) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64)) |
(* 1/2 (* a x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(* 1/6 (* (pow a 3) (pow x 3))) |
(*.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2)))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)) a)) (pow.f64 a #s(literal 3 binary64))) |
(* 1/6 (* (pow a 3) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) x) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))) |
(*.f64 a (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a) #s(literal 1 binary64))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a)) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3))))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (neg.f64 a)))) |
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))) |
(*.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))) |
(*.f64 a (fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a) #s(literal 1 binary64))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64)) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2)))))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) |
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x)) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x))) |
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))) |
(*.f64 (*.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))) |
(*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3))))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) x) x) (*.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 172 |
| 0 | 47 | 172 |
| 1 | 218 | 172 |
| 2 | 1668 | 172 |
| 0 | 8438 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) |
(*.f64 #s(literal 1/2 binary64) a) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(/.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal 2 binary64) a))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x (*.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))) |
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(*.f64 x (*.f64 a #s(literal 1 binary64))) |
(*.f64 x a) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(log.f64 (pow.f64 (exp.f64 x) a)) |
(*.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
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(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x))) |
(-.f64 a (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) (*.f64 a x))))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 a a (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) (*.f64 a x)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 a a (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) (*.f64 a x))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) (*.f64 a x)))))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 a (-.f64 a (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64))) (fma.f64 a (-.f64 a (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (-.f64 a (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a)) (/.f64 (*.f64 a (neg.f64 a)) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a)) (/.f64 (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 a)) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a)) (/.f64 (*.f64 (neg.f64 a) a) (-.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a))) |
(+.f64 (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a) |
(+.f64 a (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) |
(*.f64 #s(literal 1/2 binary64) a) |
(*.f64 a #s(literal 1/2 binary64)) |
Compiled 17 440 to 1 799 computations (89.7% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 360 | 9 | 369 |
| Fresh | 2 | 2 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 362 | 16 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (-.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) #s(literal 1 binary64)) | |
| ✓ | 23.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 16.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ✓ | 23.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 23.6% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 5.3% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) | |
| ▶ | 5.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
| ▶ | 21.1% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
| 19.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) | |
| ✓ | 21.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 60.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| ▶ | 64.2% | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
| ▶ | 64.9% | #s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
| 61.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
Compiled 576 to 384 computations (33.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| cost-diff | 1 | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 308 |
| 0 | 60 | 303 |
| 1 | 105 | 303 |
| 2 | 198 | 303 |
| 3 | 562 | 303 |
| 4 | 1712 | 295 |
| 5 | 4712 | 295 |
| 0 | 8470 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 x) |
x |
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 a) |
a |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x a) |
a |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(*.f64 a x) |
a |
x |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(neg.f64 x) |
x |
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) |
(neg.f64 a) |
a |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a)) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x a) |
a |
#s(literal 1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 12.74100146174122 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) | |
| accuracy | 22.357979551341593 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) | |
| accuracy | 40.80202767531148 | #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) | |
| accuracy | 0.0234375 | (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.13671875 | (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) | |
| accuracy | 22.639133615858793 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) | |
| accuracy | 1.4547118432779276 | (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) | |
| accuracy | 22.87624564581151 | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) | |
| accuracy | 0.0 | (*.f64 a x) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 a x) #s(literal 1 binary64)) | |
| accuracy | 22.639133615858793 | #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (*.f64 a x) | |
| accuracy | 22.485843895728106 | #s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
| 57.0ms | 256× | 0 | valid |
Compiled 180 to 33 computations (81.7% saved)
ival-mult: 22.0ms (54.1% of total)ival-add: 7.0ms (17.2% of total)ival-div: 4.0ms (9.8% of total)ival-expm1: 3.0ms (7.4% of total)ival-exp: 2.0ms (4.9% of total)ival-neg: 2.0ms (4.9% of total)ival-sub: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(+ 1 (* 1/2 (* a x))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(/ -1 x) |
(- (* -1 a) (/ 1 x)) |
(- (exp (* a x)) 1) |
(* a (+ x (/ 1 a))) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* a (pow x 2))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(* x (+ 1 (* 1/2 (* a x)))) |
(/ (- (* -1 (* a x)) 1) x) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* -1 (+ a (/ 1 x))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* a x) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x))) |
| 3.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* a x) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x))) |
| 2.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* a x) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x))) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* a x) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x))) |
| 2.0ms | a | @ | inf | ((- (exp (* x a)) 1) (* a x) (+ (* a x) 1) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 144 | 495 |
| 1 | 529 | 495 |
| 2 | 1734 | 486 |
| 3 | 6001 | 486 |
| 0 | 8015 | 436 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(+ 1 (* 1/2 (* a x))) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(/ -1 x) |
(- (* -1 a) (/ 1 x)) |
(- (exp (* a x)) 1) |
(* a (+ x (/ 1 a))) |
(exp (* a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* a (pow x 2))) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(* x (+ 1 (* 1/2 (* a x)))) |
(/ (- (* -1 (* a x)) 1) x) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* -1 (+ a (/ 1 x))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
x |
(+ x (* 1/2 (* a (pow x 2)))) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 a) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(* 1/2 (* a (pow x 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) x) |
(* a (+ (* 1/2 (pow x 2)) (/ x a))) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* x (+ 1 (* 1/2 (* a x)))) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(/ (- (* -1 (* a x)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(* -1 (+ a (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 253 |
| 0 | 60 | 250 |
| 1 | 236 | 250 |
| 2 | 1440 | 250 |
| 0 | 8308 | 237 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(*.f64 a x) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 a (*.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(*.f64 x (*.f64 a #s(literal 1 binary64))) |
(*.f64 x a) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 a x #s(literal 0 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x a #s(literal 0 binary64)) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))))) |
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))) |
(+.f64 #s(literal 0 binary64) (*.f64 a x)) |
(+.f64 (*.f64 a x) #s(literal 0 binary64)) |
(log.f64 (pow.f64 (exp.f64 a) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))) (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)))) (-.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 a) x) (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (-.f64 (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 a x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) |
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 a x #s(literal 1 binary64)) |
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 x a #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 a x))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 a x) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 a x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x)))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 a x))))) |
(+.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 a x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))))) (+.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))))) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))))) (+.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (*.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (*.f64 (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))) (pow.f64 x #s(literal -3 binary64)))) (*.f64 (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 a a (fma.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a) (pow.f64 x #s(literal -2 binary64)))))) |
(-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 a a) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 a)))) |
Compiled 16 615 to 1 653 computations (90.1% saved)
19 alts after pruning (11 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 349 | 5 | 354 |
| Fresh | 0 | 6 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 351 | 19 | 370 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (-.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) #s(literal 1 binary64)) | |
| ✓ | 23.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 16.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ✓ | 23.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))) #s(literal 1 binary64)) | |
| ✓ | 23.6% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 5.3% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
| ✓ | 5.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
| ▶ | 18.9% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
| 21.1% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64)) | |
| ▶ | 19.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
| ✓ | 21.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 60.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| ▶ | 64.2% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
| ▶ | 20.6% | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
| ✓ | 64.9% | #s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
| 61.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
Compiled 683 to 449 computations (34.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) | |
| cost-diff | 0 | #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))) | |
| cost-diff | 0 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) | |
| cost-diff | 0 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) | |
| cost-diff | 0 | (*.f64 a x) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) | |
| cost-diff | 0 | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 428 |
| 0 | 78 | 423 |
| 1 | 131 | 423 |
| 2 | 248 | 423 |
| 3 | 617 | 423 |
| 4 | 1772 | 415 |
| 5 | 4976 | 415 |
| 0 | 8084 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
(*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) |
(*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) |
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x) |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
x |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) |
(neg.f64 x) |
x |
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(neg.f64 a) |
a |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 a x) |
x |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (*.f64 a x))) |
(*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) |
(*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (*.f64 a x)) |
(*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) |
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) a) x) |
(*.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
a |
x |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))) |
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a)) |
(neg.f64 a) |
a |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 x) |
x |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(*.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) |
(fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) |
(*.f64 a a) |
a |
#s(literal 1/2 binary64) |
(/.f64 a x) |
x |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.939419930609192 | (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) | |
| accuracy | 22.357979551341593 | #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) | |
| accuracy | 40.80202767531148 | #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) | |
| accuracy | 0.015625 | (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) | |
| accuracy | 0.140625 | (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) | |
| accuracy | 22.639133615858793 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) | |
| accuracy | 0.13671875 | (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 22.639133615858793 | #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) | |
| accuracy | 23.346541552724535 | #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 26.926212736121634 | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) | |
| accuracy | 0.078125 | (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) | |
| accuracy | 1.4547118432779276 | (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) | |
| accuracy | 22.87624564581151 | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) | |
| accuracy | 41.11992251606095 | #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) | |
| accuracy | 0.0 | (*.f64 a x) | |
| accuracy | 0.01171875 | (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) | |
| accuracy | 22.87624564581151 | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
| 61.0ms | 256× | 0 | valid |
Compiled 221 to 38 computations (82.8% saved)
ival-mult: 21.0ms (48.5% of total)ival-div: 7.0ms (16.2% of total)ival-add: 5.0ms (11.6% of total)ival-expm1: 3.0ms (6.9% of total)ival-exp: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a x) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
(*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) |
(*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) |
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(/ -1 x) |
(- (* -1 a) (/ 1 x)) |
(/ -1 a) |
(/ (- (* -1 (* a x)) 1) a) |
(- (exp (* a x)) 1) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(exp (* a x)) |
(* a (+ x (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(* -1 x) |
(* -1 (+ x (/ 1 a))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(/ (- (* -1 (* a x)) 1) x) |
(- (* -1 x) (/ 1 a)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* -1 (+ a (/ 1 x))) |
(* -1 (* x (+ 1 (/ 1 (* a x))))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x)) (- (neg x) (/ 1 a))) |
| 2.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x)) (- (neg x) (/ 1 a))) |
| 2.0ms | a | @ | inf | ((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x)) (- (neg x) (/ 1 a))) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x)) (- (neg x) (/ 1 a))) |
| 2.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg a) (/ 1 x)) (- (neg x) (/ 1 a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 141 | 466 |
| 1 | 512 | 466 |
| 2 | 1684 | 446 |
| 3 | 5212 | 446 |
| 0 | 8247 | 398 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
1 |
(+ 1 (* 1/2 (* a x))) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(+ 1 (* a x)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(/ -1 x) |
(- (* -1 a) (/ 1 x)) |
(/ -1 a) |
(/ (- (* -1 (* a x)) 1) a) |
(- (exp (* a x)) 1) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(* 1/2 (* a x)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(* 1/2 (* (pow a 2) x)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(exp (* a x)) |
(* a (+ x (/ 1 a))) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(* -1 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(* -1 x) |
(* -1 (+ x (/ 1 a))) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(+ a (* 1/2 (* (pow a 2) x))) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(/ (- (* -1 (* a x)) 1) x) |
(- (* -1 x) (/ 1 a)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(* x (+ a (/ 1 x))) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(* -1 (+ a (/ 1 x))) |
(* -1 (* x (+ 1 (/ 1 (* a x))))) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
| Outputs |
|---|
(* a x) |
(*.f64 a x) |
(* a (+ x (* 1/2 (* a (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a) |
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (* a x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
a |
(* a (+ 1 (* 1/2 (* a x)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(+ 1 (* a x)) |
(fma.f64 a x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(- (* -1 a) (/ 1 x)) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(/ (- (* -1 (* a x)) 1) a) |
(-.f64 (/.f64 #s(literal -1 binary64) a) x) |
(- (exp (* a x)) 1) |
(expm1.f64 (*.f64 a x)) |
(* 1/2 (* (pow a 2) (pow x 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) x) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(* 1/2 (* a x)) |
(*.f64 (*.f64 a x) #s(literal 1/2 binary64)) |
(* a (+ (* 1/2 x) (/ 1 a))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(* 1/2 (* (pow a 2) x)) |
(*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64)) |
(* (pow a 2) (+ (* 1/2 x) (/ 1 a))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(exp (* a x)) |
(pow.f64 (exp.f64 x) a) |
(* a (+ x (/ 1 a))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (/ 1 (* a x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(* -1 x) |
(neg.f64 x) |
(* -1 (+ x (/ 1 a))) |
(-.f64 (/.f64 #s(literal -1 binary64) a) x) |
(* -1 (* a (- (* -1/2 x) (/ 1 a)))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a))) |
(* -1 (* a (- (* -1 x) (/ 1 a)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(* x (+ a (* 1/2 (* (pow a 2) x)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 #s(literal 1/24 binary64) x) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x) |
(+ a (* 1/2 (* (pow a 2) x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)) |
(/ (- (* -1 (* a x)) 1) x) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(- (* -1 x) (/ 1 a)) |
(-.f64 (/.f64 #s(literal -1 binary64) a) x) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(* x (+ (* 1/2 a) (/ 1 x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(* x (+ (* 1/2 (pow a 2)) (/ a x))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* x (+ a (/ 1 x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
(* -1 (+ a (/ 1 x))) |
(-.f64 (/.f64 #s(literal -1 binary64) x) a) |
(* -1 (* x (+ 1 (/ 1 (* a x))))) |
(-.f64 (/.f64 #s(literal -1 binary64) a) x) |
(* -1 (* x (- (* -1/2 a) (/ 1 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) |
(* -1 (* x (- (* -1 a) (/ 1 x)))) |
(fma.f64 a x #s(literal 1 binary64)) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 365 |
| 0 | 78 | 362 |
| 1 | 266 | 362 |
| 2 | 1613 | 362 |
| 0 | 8717 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a x) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
(*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x) |
(*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) |
#s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) (*.f64 a #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x) a) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
(*.f64 (*.f64 a x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 a x) (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))) |
(*.f64 a (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) x)) |
(*.f64 x (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) (*.f64 a x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 a x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (*.f64 a x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x))) (*.f64 (*.f64 a x) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) (*.f64 a x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))) (*.f64 (*.f64 a x) (*.f64 (*.f64 a x) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 a x))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) a) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a x) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x))))) |
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(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 3 binary64)) (+.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 2 binary64)))) (pow.f64 (+.f64 (+.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) (pow.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(*.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))) |
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (fma.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)) (pow.f64 a #s(literal -2 binary64)))) (*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (*.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal -3 binary64)))) (*.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))) |
(-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))) |
Compiled 13 161 to 1 153 computations (91.2% saved)
21 alts after pruning (9 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 264 | 3 | 267 |
| Fresh | 0 | 6 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 265 | 21 | 286 |
| Status | Accuracy | Program |
|---|---|---|
| 24.2% | (-.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) #s(literal 1 binary64)) | |
| ✓ | 23.4% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 22.5% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 16.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ✓ | 23.6% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 23.3% | (-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))) #s(literal 1 binary64)) | |
| ✓ | 23.6% | (-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 5.3% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
| ✓ | 5.5% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
| ✓ | 18.9% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
| 21.1% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64)) | |
| 16.8% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64)) | |
| 19.0% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))) #s(literal 1 binary64)) | |
| ✓ | 21.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 60.1% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) | |
| ✓ | 64.2% | #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
| ✓ | 20.6% | #s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
| 64.1% | #s(approx (- (exp (* x a)) 1) (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))) (*.f64 a x))) | |
| ✓ | 64.9% | #s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
| 61.2% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
Compiled 1 023 to 481 computations (53% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 129.0ms | x |
| 7.0ms | a |
| 6.0ms | (*.f64 a x) |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 5.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 a x) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | a |
| 100.0% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (neg.f64 a) (-.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) a) (*.f64 (neg.f64 x) a))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) a)))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 (neg.f64 a)) (*.f64 (*.f64 x (*.f64 a a)) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
5 calls:
| 50.0ms | (exp.f64 (*.f64 a x)) |
| 6.0ms | (*.f64 a x) |
| 6.0ms | x |
| 6.0ms | a |
| 5.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | (*.f64 a x) |
| 67.0% | 2 | (exp.f64 (*.f64 a x)) |
| 67.0% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 66.5% | 2 | a |
| 64.9% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 a x)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (+.f64 (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 #s(approx (+ (* 1/2 (* a x)) 1) (*.f64 (*.f64 #s(literal 1/2 binary64) a) x)) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x))) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
4 calls:
| 5.0ms | a |
| 5.0ms | (*.f64 a x) |
| 4.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 4.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | a |
| 64.9% | 1 | (*.f64 a x) |
| 64.9% | 1 | (exp.f64 (*.f64 a x)) |
| 64.9% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 14 to 15 computations (-7.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | x |
| 1.0ms | a |
| 1.0ms | (*.f64 a x) |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 21.0% | 1 | a |
| 21.0% | 1 | x |
| 21.0% | 1 | (*.f64 a x) |
| 21.0% | 1 | (exp.f64 (*.f64 a x)) |
| 21.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9906071435603558 | -0.21970831863790474 |
Compiled 9 to 11 computations (-22.2% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 81 |
| 1 | 64 | 81 |
| 2 | 122 | 81 |
| 3 | 321 | 81 |
| 4 | 1107 | 81 |
| 5 | 3442 | 81 |
| 6 | 7231 | 81 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
(if (<=.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* x a)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 253 |
| 0 | 60 | 250 |
| 1 | 236 | 250 |
| 2 | 1440 | 250 |
| 0 | 8308 | 237 |
| 0 | 212 | 869 |
| 1 | 774 | 849 |
| 2 | 3243 | 801 |
| 0 | 8633 | 731 |
| 0 | 63 | 201 |
| 1 | 236 | 201 |
| 2 | 889 | 193 |
| 3 | 3196 | 193 |
| 4 | 5768 | 193 |
| 0 | 8321 | 168 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 31 | 13 |
| 2 | 177 | 13 |
| 3 | 1792 | 13 |
| 0 | 8079 | 11 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 145 to 89 computations (38.6% saved)
(sort a x)
Compiled 198 to 112 computations (43.4% saved)
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