
Time bar (total: 2.9s)
| 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)
| 345.0ms | 8 256× | 0 | valid |
| 31.0ms | 311× | 0 | invalid |
ival-mult: 80.0ms (58.8% of total)ival-expm1: 50.0ms (36.7% of total)adjust: 2.0ms (1.5% of total)ival->: 1.0ms (0.7% of total)ival-assert: 1.0ms (0.7% of total)exact: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 134 | 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 | 134 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 134 | 0 |
| - | 0 | 122 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 134 | 0 | 0 |
| - | 0 | 0 | 122 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 134 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 42 to 22 computations (47.6% saved)
ival-mult: 4.0ms (35.6% of total)ival-exp: 3.0ms (26.7% of total)ival-expm1: 3.0ms (26.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 42 |
| 1 | 45 | 42 |
| 2 | 81 | 42 |
| 3 | 219 | 42 |
| 4 | 977 | 42 |
| 0 | 6 | 6 |
| 0 | 9 | 6 |
| 1 | 17 | 6 |
| 2 | 35 | 6 |
| 3 | 84 | 6 |
| 4 | 297 | 6 |
| 5 | 2733 | 6 |
| 0 | 8456 | 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 |
|---|---|---|
| ▶ | 54.0% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 6 to 6 computations (0% saved)
| 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 |
|---|
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 321 |
| 0 | 87 | 321 |
| 1 | 479 | 321 |
| 0 | 4482 | 278 |
| 1× | iter limit |
| 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) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) |
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 x a #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))) |
(-.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) |
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(/.f64 (*.f64 (pow.f64 (exp.f64 x) a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) (-.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 x a)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x a)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)) (-.f64 (*.f64 (sinh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) (*.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a)))))) |
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(exp.f64 (fma.f64 x a #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 x a)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a x) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (* a x) (*.f64 x a)) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (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))) |
#s(approx x x) |
Compiled 709 to 182 computations (74.3% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 47 | 7 | 54 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 48 | 7 | 55 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ▶ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 17.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 58.4% | #s(approx (- (exp (* a x)) 1) (*.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)) | |
| ▶ | 60.6% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ▶ | 65.2% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 184 to 136 computations (26.1% saved)
| 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) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 1.0ms | a | @ | inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 1.0ms | x | @ | inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 920 |
| 0 | 180 | 874 |
| 1 | 860 | 866 |
| 0 | 7046 | 835 |
| 1× | iter limit |
| 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) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.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)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) |
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 a x #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))) |
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.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 a) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
x |
a |
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 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 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #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 (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)))) |
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #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))) (/.f64 #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)) (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 #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 #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(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)) |
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 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 (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) |
(fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #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))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #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 3 binary64)) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (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 #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 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) a) x) |
(*.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) x) a) |
(*.f64 a (+.f64 (pow.f64 a #s(literal -1 binary64)) x)) |
(*.f64 x (+.f64 (pow.f64 x #s(literal -1 binary64)) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) a) (-.f64 x (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a))) |
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64))) x) (-.f64 a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x)))) |
(/.f64 (*.f64 a (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (-.f64 x (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (*.f64 a (+.f64 (pow.f64 a #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x (pow.f64 a #s(literal -2 binary64))) (/.f64 x a))) |
(/.f64 (*.f64 x (-.f64 (*.f64 a a) (pow.f64 x #s(literal -2 binary64)))) (-.f64 a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.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 (-.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.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 (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64))) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 a)) (neg.f64 a) a) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fabs.f64 a)) (fabs.f64 a) a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 a x) a) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 #s(literal 1/2 binary64) x)) a) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 a a) a) |
(fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a a) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 a x) a) a) |
(fma.f64 (*.f64 a x) (*.f64 #s(literal 1/2 binary64) a) a) |
(fma.f64 a (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) |
(fma.f64 x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) a) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a)) (/.f64 (*.f64 a a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 2 binary64)) (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (*.f64 a a))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64)))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a x)) a)) |
(-.f64 a (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) (*.f64 a x)))) |
(-.f64 a (*.f64 (neg.f64 (*.f64 a a)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 a (*.f64 (neg.f64 (*.f64 (*.f64 a x) a)) #s(literal 1/2 binary64))) |
(-.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) |
(+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (neg.f64 a) x) (neg.f64 a)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) x)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x)) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 a x) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 x (*.f64 a a)) |
(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a))) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (*.f64 a a)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (* x a) (*.f64 a x)) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
(*.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)) |
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (exp (* a x)) (pow.f64 (exp.f64 a) x)) |
#s(approx (+ (* x a) 1) (*.f64 a x)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx x x) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (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))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
Compiled 6 372 to 1 076 computations (83.1% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 6 | 312 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 308 | 11 | 319 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 19.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 17.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 64.9% | #s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
| 58.4% | #s(approx (- (exp (* a x)) 1) (*.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)) | |
| ▶ | 62.7% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
| ▶ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| ▶ | 17.3% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
| ✓ | 65.2% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
| 50.1% | #s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) |
Compiled 337 to 233 computations (30.9% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
a |
x |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x x) a) |
(*.f64 x x) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* 1/2 (* a x)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* 1/2 (* a x)) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2)))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 3.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
| 2.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (* a x) a x 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* 1/2 (* a x)) a) (* 1/2 (* a x)) (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (* x x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) 1 (- (exp (* a x)) 1) (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) (* 1/2 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 236 | 1796 |
| 0 | 265 | 1713 |
| 1 | 1144 | 1704 |
| 0 | 8754 | 1643 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
a |
x |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
(*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x x) a) |
(*.f64 x x) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
(fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* 1/2 (* a x)) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* 1/2 (* a x)) #s(hole binary64 (* 1/2 (* a x)))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x x) a) #s(hole binary64 (* a (pow x 2)))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a x))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (* (+ (* (* (* a x) a) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))))) |
#s(approx (+ (* (* (* a x) a) (* 1/2 x)) (* a x)) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a x) a) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
(*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (neg.f64 a))) |
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)) |
(*.f64 a (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(*.f64 a (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 a)) (fabs.f64 a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 x a)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 x a)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (neg.f64 a) (*.f64 (neg.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) (*.f64 x a)) |
(fma.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) x (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (*.f64 x x) a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x x) (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x a) a) (*.f64 x a)) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 a a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 a a) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x x) a) (*.f64 #s(literal 1/2 binary64) a) (*.f64 x a)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 x x) (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 x a)) |
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 (*.f64 x a) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)) (*.f64 x a)) |
(fma.f64 (*.f64 x a) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 x (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) (*.f64 x a)) |
(fma.f64 x a (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 x a (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(fma.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) (*.f64 x a)) |
(fma.f64 a x (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(fma.f64 a x (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a)))) |
(-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) a)) |
(-.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 a) x)) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) x)) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 x a) a))) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 (*.f64 (*.f64 x a) a)) (*.f64 #s(literal 1/2 binary64) x))) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (neg.f64 a) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x a)))) |
(-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) a) a)) |
(-.f64 (*.f64 x a) (*.f64 (neg.f64 a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (*.f64 x a)) |
(+.f64 (*.f64 (*.f64 x a) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x a) (-.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (neg.f64 a)) x)) |
(+.f64 (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 x a)) |
(+.f64 (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a) a) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) (*.f64 a a)) |
(*.f64 (*.f64 a a) (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) |
(*.f64 a (*.f64 a (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 (neg.f64 a) a))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x a) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 a #s(literal 4 binary64))) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)))))) |
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#s(approx (* (* a x) a) (*.f64 (*.f64 x a) a)) |
#s(approx (* a x) (*.f64 x a)) |
#s(approx a a) |
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#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
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#s(approx (+ (* (* (* x x) a) 1/2) x) x) |
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#s(approx (* (* x x) a) (*.f64 (*.f64 x x) a)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
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#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64))) |
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#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 x a)) |
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#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
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#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)) |
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#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) |
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a)) |
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#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
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#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
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#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x (/.f64 (neg.f64 x) a)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) (neg.f64 a))) (*.f64 a a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.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(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)) |
#s(approx x x) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx (* x x) (*.f64 x x)) |
(*.f64 #s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (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))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x a) a) a) x)) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) a) a (/.f64 (neg.f64 a) x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) a (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) (neg.f64 x))) (*.f64 x x))) |
Compiled 13 281 to 1 828 computations (86.2% saved)
12 alts after pruning (5 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 4 | 546 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 545 | 12 | 557 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 19.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 4.1% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
| ▶ | 4.3% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
| ✓ | 17.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 58.4% | #s(approx (- (exp (* a x)) 1) (*.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)) |
| ▶ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| ▶ | 50.3% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a)) |
| ✓ | 17.3% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
| ✓ | 65.2% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 366 to 253 computations (30.9% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x a) x) |
(*.f64 x a) |
x |
a |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a)) |
(*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x 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) |
(/.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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) |
(/.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
(*.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) |
(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) |
(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))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) x) |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ x a))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a))) |
#s(approx (/ x a) #s(hole binary64 (/ x a))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 a)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* 1/6 (* a x)))))) |
#s(approx (* (pow a 3) x) #s(hole binary64 (* (pow a 3) x))) |
#s(approx (pow a 3) #s(hole binary64 (pow a 3))) |
#s(approx (* (* a a) 1/2) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a)))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* 1/6 (* (pow a 3) x)))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 x) (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1/6 x) (* 1/2 (/ 1 a))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* x (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x a) x) 1/2) x) a) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a) x a 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2)) |
| 5.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x a) x) 1/2) x) a) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a) x a 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2)) |
| 5.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x a) x) 1/2) x) a) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a) x a 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2)) |
| 4.0ms | x | @ | inf | ((- (exp (* a x)) 1) (* (+ (* (* (* x a) x) 1/2) x) a) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a) x a 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2)) |
| 4.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* (+ (* (* (* x a) x) 1/2) x) a) (+ (* (* (* x a) x) 1/2) x) (* (* x a) x) (* x a) x a 1/2 (- (exp (* a x)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (+ (* (* 1/2 x) x) (/ x a)) a) (+ (* (* 1/2 x) x) (/ x a)) (* 1/2 x) (/ x a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) 1 (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (* (+ (* (* a a) 1/2) (/ a x)) x) (+ (* (* a a) 1/2) (/ a x)) (* a a) (/ a x) (- (exp (* a x)) 1) (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (* (pow a 3) x) (pow a 3) 3 1/6 (* (* a a) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 400 | 3507 |
| 0 | 440 | 3379 |
| 1 | 1925 | 3377 |
| 0 | 8529 | 3262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a) |
(fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) |
(*.f64 (*.f64 x a) x) |
(*.f64 x a) |
x |
a |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a)) |
(*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x 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) |
(/.f64 x a) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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) |
#s(literal 1 binary64) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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) |
(/.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
(*.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) |
(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) |
(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))) |
(*.f64 (pow.f64 a #s(literal 3 binary64)) x) |
(pow.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/6 binary64) |
(*.f64 (*.f64 a a) #s(literal 1/2 binary64)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (* x a) x) #s(hole binary64 (* a (pow x 2)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 x)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (+ x (* 1/2 (* a (pow x 2)))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ x a))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (/ (+ x (* 1/2 (* a (pow x 2)))) a))) |
#s(approx (/ x a) #s(hole binary64 (/ x a))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a x))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ a x))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* a (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 a)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* (pow a 2) (+ 1/2 (* 1/6 (* a x)))))) |
#s(approx (* (pow a 3) x) #s(hole binary64 (* (pow a 3) x))) |
#s(approx (pow a 3) #s(hole binary64 (pow a 3))) |
#s(approx (* (* a a) 1/2) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* 1/2 (* a (pow x 2))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* a (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (+ (* 1/2 (pow x 2)) (/ x a)))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a)))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* 1/2 (pow a 2)))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (* (pow a 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 3))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* 1/6 (* (pow a 3) (pow x 2))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* 1/6 (* (pow a 3) x)))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* (pow a 3) (+ (* 1/6 x) (* 1/2 (/ 1 a)))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* -1 (* (pow a 3) (- (* -1/6 x) (* 1/2 (/ 1 a))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* x (+ 1 (* 1/2 (* a x)))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* x (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (/ (+ a (* 1/2 (* (pow a 2) x))) x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))) |
#s(approx (* (+ (* (* (* x a) x) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x a) x) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 a) (/ 1 x))))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) #s(hole binary64 (* (pow x 2) (+ 1/2 (/ 1 (* a x)))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x)))))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) #s(hole binary64 (+ (* 1/2 (pow a 2)) (/ a x)))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2))))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* x (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x)))))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2)))))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) #s(hole binary64 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) #s(hole binary64 (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3)))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) #s(hole binary64 (* -1 (* x (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))))))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a) |
(*.f64 a (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))) (-.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (*.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) (-.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) (*.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) (pow.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) (*.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(fma.f64 x a (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(fma.f64 x a (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(fma.f64 a x (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(fma.f64 a x (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x a) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) a)) |
(+.f64 (*.f64 x a) (*.f64 a (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64)))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 x x) x) |
(fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) a) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) a) x) |
(fma.f64 (*.f64 x a) (*.f64 #s(literal 1/2 binary64) x) x) |
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#s(literal 3 binary64) |
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#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 x a)) |
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#s(approx (+ (* (* (* x x) a) 1/2) x) x) |
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#s(approx (* (* x a) x) (*.f64 (*.f64 x x) a)) |
#s(approx (* x a) (*.f64 x a)) |
#s(approx a a) |
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#s(approx (+ (* (* (* x x) a) 1/2) x) x) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) x) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (/ x a) (/.f64 x a)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 x a)) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 x a)) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) a) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (fma.f64 #s(literal 1/2 binary64) a (pow.f64 x #s(literal -1 binary64))) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (/ a x) (/.f64 a x)) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 x a)) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) a) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (* (pow a 3) x) (*.f64 (pow.f64 a #s(literal 3 binary64)) x)) |
#s(approx (pow a 3) (pow.f64 a #s(literal 3 binary64))) |
#s(approx (* (* a a) 1/2) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))) |
#s(approx (exp (* a x)) (pow.f64 (exp.f64 x) a)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (+.f64 (pow.f64 a #s(literal -2 binary64)) (/.f64 x a))) (*.f64 a a))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (fma.f64 (*.f64 a a) (*.f64 #s(literal 1/2 binary64) x) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 a a))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (/.f64 x (*.f64 a a)))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (fma.f64 (/.f64 x a) #s(literal 1/2 binary64) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 a #s(literal 3 binary64)))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (neg.f64 x) a)))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (neg.f64 x) a)))) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (neg.f64 a) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (/.f64 (neg.f64 x) a)))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (neg.f64 (/.f64 (-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64))) a))) (*.f64 a a))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.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 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) a))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (/.f64 x a))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) a))))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) a)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.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)) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (pow.f64 a #s(literal -1 binary64))) x)) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (fma.f64 (*.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 #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (fma.f64 (*.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)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (fma.f64 (fma.f64 (*.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)) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* (* x x) a) 1/2) x) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (+ (* (* (* x x) a) 1/2) x) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (* (* 1/2 x) x) (/ x a)) a) (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x)) |
#s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (+.f64 (pow.f64 (*.f64 x a) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 a x))) (*.f64 x x))) |
#s(approx (* (* (+ (* (* 1/2 x) x) (/ x a)) a) a) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (* (* (+ (* (* a a) 1/2) (/ a x)) x) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) (*.f64 x x))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) |
#s(approx (+ (* (* a a) 1/2) (/ a x)) (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) (*.f64 x x))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (/.f64 a (*.f64 x x)))) (*.f64 x x))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x)) |
#s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (neg.f64 (/.f64 (-.f64 (neg.f64 a) (pow.f64 x #s(literal -1 binary64))) x))) (*.f64 x x))) |
#s(approx (* (+ (* (* a a) 1/2) (/ a x)) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))) |
#s(approx (* (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x))))) |
#s(approx (+ (* (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) x) a) (*.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a a) (/.f64 (neg.f64 a) x)) x))) (*.f64 x x))) |
#s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (*.f64 a a) x) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))))) |
Compiled 19 219 to 2 267 computations (88.2% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 6 | 496 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 494 | 14 | 508 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 19.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.2% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 6.9% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) | |
| 4.2% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64)) | |
| 6.1% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) | |
| 4.2% | (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) | |
| ✓ | 17.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
| 62.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x a) x)) | |
| 50.4% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a)) a)) | |
| ✓ | 17.3% | #s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
| ✓ | 65.2% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 901 to 368 computations (59.2% 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)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.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)) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 6.0ms | x |
| 6.0ms | 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)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (fma.f64 (*.f64 (*.f64 a x) a) (*.f64 #s(literal 1/2 binary64) x) (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 #s(approx (+ (* (* (pow a 3) x) 1/6) (* (* a a) 1/2)) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64)) (*.f64 a a))) x a) x)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) 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 (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
5 calls:
| 6.0ms | a |
| 6.0ms | x |
| 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 |
|---|---|---|
| 69.2% | 2 | (*.f64 a x) |
| 69.2% | 2 | (exp.f64 (*.f64 a x)) |
| 69.2% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 66.9% | 2 | a |
| 66.8% | 2 | 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)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
3 calls:
| 4.0ms | (exp.f64 (*.f64 a x)) |
| 3.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 2 | (exp.f64 (*.f64 a x)) |
| 68.4% | 2 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 68.4% | 2 | (*.f64 a x) |
Compiled 13 to 13 computations (0% 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)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 #s(approx (+ (* (* (* x x) a) 1/2) x) (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a)) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a) a))) #s(literal 1 binary64)) |
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x) x))) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 3.0ms | a |
| 3.0ms | x |
| 3.0ms | (*.f64 a x) |
| 3.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 2.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 1 | x |
| 65.2% | 1 | a |
| 65.2% | 1 | (*.f64 a x) |
| 65.2% | 1 | (exp.f64 (*.f64 a x)) |
| 65.2% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 15 to 17 computations (-13.3% 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 | a |
| 1.0ms | x |
| 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 |
|---|---|---|
| 17.6% | 1 | (exp.f64 (*.f64 a x)) |
| 17.6% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 17.6% | 1 | (*.f64 a x) |
| 17.6% | 1 | x |
| 17.6% | 1 | a |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -163464.58056036555 | -0.28381361737241684 |
Compiled 9 to 9 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -163464.58056036555 | -0.28381361737241684 |
Compiled 9 to 9 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 144 |
| 1 | 85 | 144 |
| 2 | 205 | 144 |
| 3 | 597 | 144 |
| 4 | 1596 | 144 |
| 5 | 5040 | 144 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(if (<=.f64 (*.f64 a x) #s(literal -100000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))) |
(if (<=.f64 (*.f64 a x) #s(literal -100000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))) |
#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 a x) #s(literal -100000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* a a) 1/2) (/ a x)) (/.f64 a x)) x) x))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))) |
(if (<=.f64 (*.f64 a x) #s(literal -100000 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* x x) a) 1/2) x) a) 1) (*.f64 (*.f64 #s(approx (+ (* (* 1/2 x) x) (/ x a)) (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 144 to 51 computations (64.6% saved)
(sort a x)
Compiled 316 to 130 computations (58.9% saved)
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