
Time bar (total: 1.8s)
| 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)
| 324.0ms | 8 256× | 0 | valid |
| 42.0ms | 324× | 0 | invalid |
ival-mult!: 64.0ms (49.7% of total)ival-expm1: 62.0ms (48.2% of total)adjust: 1.0ms (0.8% of total)ival->: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 40 |
| 1 | 64 | 40 |
| 2 | 138 | 40 |
| 3 | 674 | 40 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.5% | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(sort a x)
Compiled 12 to 12 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 #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 | |
|---|---|---|---|---|
| 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 | a | @ | 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 | 83 | 314 |
| 0 | 86 | 314 |
| 1 | 574 | 314 |
| 0 | 6658 | 271 |
| 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 #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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) (exp.f64 (*.f64 x a))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x a)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(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 (sqrt.f64 (exp.f64 (*.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a)) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a)))) |
(fma.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))))) |
(fma.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.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 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (cosh.f64 (*.f64 x a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (sinh.f64 (*.f64 x a)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) (*.f64 (sinh.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (+.f64 (sinh.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 x a)) (-.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a)))) (cosh.f64 (*.f64 x a))) |
(*.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a)))) |
(*.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(/.f64 (*.f64 (exp.f64 (*.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)))))) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(-.f64 (cosh.f64 (*.f64 x a)) (neg.f64 (sinh.f64 (*.f64 x a)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a)))) |
(fabs.f64 (exp.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 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(*.f64 (/.f64 (*.f64 x a) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x (/.f64 a #s(literal 1 binary64))) |
(*.f64 x a) |
(*.f64 a (/.f64 x #s(literal 1 binary64))) |
(*.f64 a x) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 a) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 x a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
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 (*.f64 (*.f64 x x) x) 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 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) a) #s(literal 1/24 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 (*.f64 (*.f64 x x) x) 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 a) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (exp (* a x)) (exp.f64 (*.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 (*.f64 (*.f64 a a) a) 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 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 a a) a) a) x) #s(literal 1/24 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 (*.f64 (*.f64 a a) a) 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 606 to 253 computations (58.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 4 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 78 | 4 | 82 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 71.5% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 71.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 28 to 28 computations (0% saved)
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(expm1.f64 (*.f64 x a)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
(exp.f64 (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#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 a #s(hole binary64 a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #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 x #s(hole binary64 x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | 0 | ((- (exp (* a x)) 1) (* x a) x a (- (exp (* x a)) 1) (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) (exp (* x a)) (- (exp (* a x)) 1) (exp (* a x)) 1) |
| 2.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (* x a) x a (- (exp (* x a)) 1) (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) (exp (* x a)) (- (exp (* a x)) 1) (exp (* a x)) 1) |
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (* x a) x a (- (exp (* x a)) 1) (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) (exp (* x a)) (- (exp (* a x)) 1) (exp (* a x)) 1) |
| 1.0ms | a | @ | inf | ((- (exp (* a x)) 1) (* x a) x a (- (exp (* x a)) 1) (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) (exp (* x a)) (- (exp (* a x)) 1) (exp (* a x)) 1) |
| 1.0ms | a | @ | -inf | ((- (exp (* a x)) 1) (* x a) x a (- (exp (* x a)) 1) (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) (exp (* x a)) (- (exp (* a x)) 1) (exp (* a x)) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 251 | 1047 |
| 0 | 265 | 934 |
| 1 | 2092 | 899 |
| 0 | 10246 | 836 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(expm1.f64 (*.f64 x a)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
(exp.f64 (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#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 a #s(hole binary64 a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #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 x #s(hole binary64 x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
| Outputs |
|---|
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a x) |
x |
a |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(neg.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 a) x)) (exp.f64 (*.f64 x a)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(*.f64 (exp.f64 (*.f64 x a)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(neg.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 a) x)) (exp.f64 (*.f64 x a)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 a) x) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x a))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x a)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (neg.f64 a) x)))) (exp.f64 (*.f64 (neg.f64 a) x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal -1 binary64)) |
(expm1.f64 (-.f64 #s(literal 0 binary64) (*.f64 x a))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x a))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 a)) |
(neg.f64 (*.f64 x a)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(neg.f64 a) |
(*.f64 (sqrt.f64 (exp.f64 (*.f64 x a))) (sqrt.f64 (exp.f64 (*.f64 x a)))) |
(pow.f64 (exp.f64 x) a) |
(pow.f64 (exp.f64 a) x) |
(/.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)))))) |
(sqrt.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 x a)))) |
(fabs.f64 (exp.f64 (*.f64 x a))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 x a)) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (exp (* x a)) #s(literal 1 binary64)))) #s(approx (exp (* x a)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* x a)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64))) #s(approx (exp (* x a)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(approx (exp (* x a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)))))) |
(-.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(approx (exp (* x a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
#s(approx (exp (* x a)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 x a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)) |
#s(approx a a) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64))) a (*.f64 x x))) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) a))) a (*.f64 x x))) x) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) a)) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) a (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (neg.f64 a) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a (neg.f64 x)) a)) |
#s(approx (neg a) (neg.f64 a)) |
#s(approx (exp (* x a)) #s(literal 1 binary64)) |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (expm1.f64 (*.f64 x a))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (expm1.f64 (*.f64 x a))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
#s(approx (- (exp (* (neg a) x)) 1) (expm1.f64 (*.f64 (neg.f64 a) x))) |
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)) |
#s(approx x x) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64))) x (*.f64 a a))) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 x (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/4 binary64))) x))) x (*.f64 a a))) a) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/2 binary64)) x) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64)) x (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/24 binary64)) x (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
Compiled 1 331 to 514 computations (61.4% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 1 | 113 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 113 | 4 | 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 70.5% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 71.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 31 to 31 computations (0% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a x))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (+ (* x a) 1) 1) |
| 1.0ms | a | @ | -inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (+ (* x a) 1) 1) |
| 1.0ms | x | @ | inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (+ (* x a) 1) 1) |
| 1.0ms | x | @ | -inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (+ (* x a) 1) 1) |
| 1.0ms | a | @ | 0 | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (+ (* x a) 1) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 922 |
| 0 | 254 | 852 |
| 1 | 2009 | 846 |
| 0 | 9843 | 796 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a x))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(neg.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 a) x)) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 a) x) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (neg.f64 a) x)))) (exp.f64 (*.f64 (neg.f64 a) x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x a))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) x)) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 a)) |
(neg.f64 (*.f64 x a)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (fma.f64 (*.f64 x a) (*.f64 x a) (+.f64 #s(literal 1 binary64) (*.f64 (neg.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) (fma.f64 (*.f64 x a) (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x a) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (*.f64 x a))) |
(/.f64 (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) #s(literal 1 binary64)) (-.f64 (*.f64 x a) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64))))) |
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x a))) (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (-.f64 (*.f64 x a) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x a) #s(literal 1 binary64)))) |
(-.f64 (*.f64 x a) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(+.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 x a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x a)) |
#s(literal 1 binary64) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 x a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) a (*.f64 x x))) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 a (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) a))) a (*.f64 x x))) x) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal -1/2 binary64)) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))) a (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (neg.f64 a) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a (neg.f64 x)) a)) |
#s(approx (neg a) (neg.f64 a)) |
#s(approx a a) |
#s(approx (exp (* x a)) #s(literal 1 binary64)) |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a)))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
#s(approx (- (exp (* (neg a) x)) 1) (expm1.f64 (*.f64 (neg.f64 a) x))) |
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a))) |
#s(approx (+ (* x a) 1) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64))) x (*.f64 a a))) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 x (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/4 binary64))) x))) x (*.f64 a a))) a) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal -1/2 binary64)) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) x) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx x x) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) 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 a) 1) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 211 to 543 computations (55.2% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 99 | 1 | 100 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 99 | 5 | 104 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 70.5% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
| ▶ | 51.6% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 71.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 47 to 46 computations (2.1% saved)
| Inputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x a) |
| Outputs |
|---|
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a x))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ 1 (* a x)))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ (+ a (/ 1 x)) a))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (+ 1 (/ 1 (* a x))))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ (+ x (/ 1 a)) x))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (* (+ 1 (/ 1 (* x a))) (* x a)) (+ 1 (/ 1 (* x a))) 1 (/ 1 (* x a)) (* x a)) |
| 2.0ms | x | @ | -inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (* (+ 1 (/ 1 (* x a))) (* x a)) (+ 1 (/ 1 (* x a))) 1 (/ 1 (* x a)) (* x a)) |
| 1.0ms | a | @ | 0 | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (* (+ 1 (/ 1 (* x a))) (* x a)) (+ 1 (/ 1 (* x a))) 1 (/ 1 (* x a)) (* x a)) |
| 1.0ms | a | @ | inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (* (+ 1 (/ 1 (* x a))) (* x a)) (+ 1 (/ 1 (* x a))) 1 (/ 1 (* x a)) (* x a)) |
| 1.0ms | x | @ | inf | ((* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (neg (- (exp (* (neg a) x)) 1)) (- (exp (* (neg a) x)) 1) (* (neg a) x) (neg a) a x (exp (* x a)) (* (+ 1 (/ 1 (* x a))) (* x a)) (+ 1 (/ 1 (* x a))) 1 (/ 1 (* x a)) (* x a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 257 | 1044 |
| 0 | 273 | 929 |
| 1 | 2087 | 929 |
| 0 | 10133 | 869 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(*.f64 (neg.f64 a) x) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x a) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a x))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (pow x 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 3))))) (pow x 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* a (+ x (* a (+ (* -1/2 (pow x 2)) (+ (* a (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* a (+ (* -1/4 (pow x 4)) (+ (* -1/24 (pow x 4)) (* 1/3 (pow x 4))))))))) (pow x 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* -1/2 (* a (pow x 2))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* a (- (* a (- (* a (- (* -1/24 (* a (pow x 4))) (* -1/6 (pow x 3)))) (* 1/2 (pow x 2)))) (* -1 x))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* -1 (* a x)))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* a (+ (* -1 x) (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/6 (pow x 3)) (* 1/24 (* a (pow x 4))))))))))) |
#s(approx (neg a) #s(hole binary64 (* -1 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (exp (* x a)) #s(hole binary64 1)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ 1 (* a x)))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ (+ a (/ 1 x)) a))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* (exp (* a x)) (- 1 (exp (* -1 (* a x))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (- 1 (exp (* -1 (* a x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (- (exp (* -1 (* a x))) 1))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (+ 1 (/ 1 (* a x))))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (pow a 2))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (* 1/2 (pow a 3))))) (pow a 2)))))))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) #s(hole binary64 (* x (+ a (* x (+ (* -1/2 (pow a 2)) (+ (* x (+ (* -1/2 (pow a 3)) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (pow a 3)) (* x (+ (* -1/4 (pow a 4)) (+ (* -1/24 (pow a 4)) (* 1/3 (pow a 4))))))))) (pow a 2)))))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* -1/2 (* (pow a 2) x)) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) #s(hole binary64 (* x (- (* x (- (* x (- (* -1/24 (* (pow a 4) x)) (* -1/6 (pow a 3)))) (* 1/2 (pow a 2)))) (* -1 a))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (neg a) x)) 1) #s(hole binary64 (* x (+ (* -1 a) (* x (+ (* 1/2 (pow a 2)) (* x (+ (* -1/6 (pow a 3)) (* 1/24 (* (pow a 4) x)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* x a)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (+ 1 (/ 1 (* x a))) #s(hole binary64 (/ (+ x (/ 1 a)) x))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
| Outputs |
|---|
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(neg.f64 (*.f64 (expm1.f64 (*.f64 (neg.f64 a) x)) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 (neg.f64 a) x) #s(literal 0 binary64)))) #s(literal 1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) |
(neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 a) x))))))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (*.f64 (neg.f64 a) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (neg.f64 a) x)))) (exp.f64 (*.f64 (neg.f64 a) x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
(fma.f64 (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) (sqrt.f64 (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 a))) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x a))) |
(expm1.f64 (*.f64 (neg.f64 a) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (neg.f64 a) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (neg.f64 a) x)) #s(literal -1 binary64)) |
(*.f64 (neg.f64 a) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 a)) |
(neg.f64 (*.f64 x a)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(neg.f64 a) |
a |
x |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64)) (*.f64 x a)) |
(*.f64 (*.f64 x a) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) a)) |
(*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) a) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (pow.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 a (/.f64 #s(literal 1 binary64) a)) (*.f64 a (/.f64 #s(literal 1 binary64) a))) (*.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (pow.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x (/.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 a) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) (*.f64 x a) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (*.f64 x a))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(fma.f64 x a (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 x a (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 x a #s(literal 1 binary64)) |
(fma.f64 a x (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 a x (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 a x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x a))) (/.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (-.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 a) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a))))) (/.f64 (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(+.f64 (*.f64 x a) (*.f64 a (/.f64 #s(literal 1 binary64) a))) |
(+.f64 (*.f64 x a) (*.f64 x (/.f64 #s(literal 1 binary64) x))) |
(+.f64 (*.f64 x a) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a))))))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) a) #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 a) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x a) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 x a) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x a) #s(literal 2 binary64))) (*.f64 (*.f64 x a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a))) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) x) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x a) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 x a))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 1 binary64))) (*.f64 (neg.f64 a) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 1 binary64)) (*.f64 x a)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x)))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a)))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x a)) (*.f64 x a)) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (*.f64 x a))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x a) (*.f64 x a))) (/.f64 #s(literal 1 binary64) (*.f64 x a)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
#s(literal 1 binary64) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
(pow.f64 (/.f64 (*.f64 x a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x a) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) a)) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 a)) |
(/.f64 (/.f64 #s(literal 1 binary64) a) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 a) x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x a))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x a)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(*.f64 x a) |
(*.f64 a x) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 x a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) a (*.f64 x x))) a x) a)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 a (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/4 binary64))) a))) a (*.f64 x x))) x) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) a) #s(literal -1/2 binary64)) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) x))) a (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) a) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (neg.f64 a) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a (neg.f64 x)) a)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 1/24 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a (neg.f64 x)) a)) |
#s(approx (neg a) (neg.f64 a)) |
#s(approx a a) |
#s(approx (exp (* x a)) #s(literal 1 binary64)) |
#s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64))) |
#s(approx (+ 1 (/ 1 (* x a))) (/.f64 #s(literal 1 binary64) (*.f64 x a))) |
#s(approx (+ 1 (/ 1 (* x a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a)))) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x)))) |
#s(approx (- (exp (* (neg a) x)) 1) (expm1.f64 (*.f64 (neg.f64 a) x))) |
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (+ 1 (/ 1 (* x a))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x a)) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64))) x (*.f64 a a))) x a) x)) |
#s(approx (* (neg (- (exp (* (neg a) x)) 1)) (exp (* x a))) (*.f64 (fma.f64 x (fma.f64 (*.f64 a a) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 7/24 binary64) (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal -1/4 binary64))) x))) x (*.f64 a a))) a) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) x) #s(literal -1/2 binary64)) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (neg (- (exp (* (neg a) x)) 1)) (*.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) x) #s(literal -1/24 binary64) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/6 binary64))) x (*.f64 (*.f64 a a) #s(literal -1/2 binary64))) x) (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx (- (exp (* (neg a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal -1/6 binary64) (*.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x)) |
#s(approx x x) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x #s(literal 1 binary64))) |
#s(approx (exp (* x a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) |
#s(approx (+ 1 (/ 1 (* x a))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) x)) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) (fma.f64 x a #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 (* x a))) (* x a)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))) |
Compiled 1 640 to 804 computations (51% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 145 | 0 | 145 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 145 | 5 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 21.6% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 70.5% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
| ✓ | 51.6% | (*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 71.1% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 84 to 77 computations (8.3% 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)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (fma.f64 x a #s(literal 1 binary64)))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) (exp.f64 (*.f64 x a))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 a) x))) #s(approx (exp (* x a)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x a))) (*.f64 x a)))) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 14.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 3.0ms | x |
| 2.0ms | a |
| 2.0ms | (*.f64 a x) |
| 2.0ms | (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)) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 1.0ms | x |
| 1.0ms | a |
| 1.0ms | (*.f64 a x) |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 1 | (*.f64 a x) |
| 71.1% | 1 | (exp.f64 (*.f64 a x)) |
| 71.1% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 71.1% | 1 | a |
| 71.1% | 1 | x |
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 |
|---|---|---|
| 21.6% | 1 | (exp.f64 (*.f64 a x)) |
| 21.6% | 1 | (*.f64 a x) |
| 21.6% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 21.6% | 1 | a |
| 21.6% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | done |
Compiled 15 to 12 computations (20% saved)
(sort a x)
Compiled 63 to 60 computations (4.8% saved)
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