
Time bar (total: 1.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 5 |
| 66.7% | 62.4% | 31.2% | 0.1% | 0% | 6.2% | 0% | 6 |
| 75.9% | 68.7% | 21.9% | 0.1% | 0% | 9.4% | 0% | 7 |
| 80% | 68.7% | 17.2% | 0.1% | 0% | 14% | 0% | 8 |
| 86% | 71.8% | 11.7% | 0.1% | 0% | 16.4% | 0% | 9 |
| 88.9% | 71.8% | 9% | 0.1% | 0% | 19.1% | 0% | 10 |
| 92.4% | 73.4% | 6% | 0.1% | 0% | 20.5% | 0% | 11 |
| 94.1% | 73.4% | 4.6% | 0.1% | 0% | 22% | 0% | 12 |
Compiled 12 to 7 computations (41.7% saved)
| 259.0ms | 8 256× | 0 | valid |
| 11.0ms | 297× | 0 | invalid |
ival-expm1: 53.0ms (50.9% of total)ival-mult!: 48.0ms (46.1% of total)adjust: 2.0ms (1.9% of total)ival->: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 40 |
| 1 | 60 | 40 |
| 2 | 126 | 40 |
| 3 | 503 | 40 |
| 4 | 7401 | 40 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.5% | (-.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 x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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 | a | @ | inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | -inf | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
| 1.0ms | x | @ | 0 | ((- (exp (* a x)) 1) (exp (* a x)) (* a x) a x 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 321 |
| 0 | 87 | 321 |
| 1 | 526 | 321 |
| 0 | 5351 | 278 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 a x)) |
(*.f64 a x) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx x #s(hole binary64 x)) |
| Outputs |
|---|
(*.f64 (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 (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 (-.f64 (neg.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 x a)))) |
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (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 #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 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) |
(*.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)))))) |
(neg.f64 (-.f64 (neg.f64 (cosh.f64 (*.f64 x a))) (sinh.f64 (*.f64 x a)))) |
(exp.f64 (fma.f64 x a #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 x a)) |
(+.f64 (sinh.f64 (*.f64 x a)) (cosh.f64 (*.f64 x a))) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (*.f64 #s(literal 1 binary64) a) x) |
(*.f64 (*.f64 x a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a x) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x a)) #s(literal 2 binary64)) |
a |
x |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.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 x) (*.f64 x a)) |
#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 448 to 197 computations (56% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 54 | 6 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 55 | 6 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| 100.0% | (/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) | |
| ▶ | 21.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ▶ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 59.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ▶ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 100 to 98 computations (2% saved)
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | x | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | a | @ | 0 | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 2.0ms | a | @ | -inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
| 1.0ms | x | @ | inf | ((- (exp (* x a)) 1) (* x a) x a (- (exp (* a x)) 1) (exp (* a x)) 1 (- (exp (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (* a a) 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 920 |
| 0 | 180 | 854 |
| 1 | 958 | 843 |
| 0 | 8606 | 815 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(expm1.f64 (*.f64 x a)) |
(*.f64 x a) |
x |
a |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) |
(fma.f64 x a #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x) |
(fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 1)) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 1)) |
#s(approx (+ (* x a) 1) #s(hole binary64 (+ 1 (* a x)))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a x))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* a (+ 1 (* 1/2 (* a x)))))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (exp (* a x)) #s(hole binary64 (exp (* a x)))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a x))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* a (+ x (/ 1 a))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* 1/2 (* (pow a 2) (pow x 2))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* 1/2 (* (pow a 2) x)))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* (pow a 2) (+ (* 1/2 x) (/ 1 a))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* a (- (* -1 x) (/ 1 a)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* x a)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3)))))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (exp (* a x)) #s(hole binary64 (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (+ a (* 1/2 (* (pow a 2) x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* x (+ a (/ 1 x))))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) #s(hole binary64 (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* x (+ (* 1/2 (pow a 2)) (/ a x))))) |
#s(approx (+ (* x a) 1) #s(hole binary64 (* -1 (* x (- (* -1 a) (/ 1 x)))))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) #s(hole binary64 (* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2))))))) |
| Outputs |
|---|
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) |
(neg.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x)))) |
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (fma.f64 a x #s(literal 0 binary64))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (exp.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)))))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 a x)) (+.f64 (sinh.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 x a) (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (/.f64 x a) (neg.f64 a)) (neg.f64 a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (*.f64 #s(literal 1 binary64) x) a) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) (/.f64 x a))) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 a) (/.f64 x a))) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 (*.f64 a x) a) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 (*.f64 x x) a) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(*.f64 #s(literal 1 binary64) (*.f64 a x)) |
(*.f64 (*.f64 a x) #s(literal 1 binary64)) |
(*.f64 a (*.f64 a (/.f64 x a))) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x))) |
(*.f64 a x) |
(*.f64 x a) |
(/.f64 (*.f64 (*.f64 a a) (neg.f64 x)) (neg.f64 a)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 a)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 a) (*.f64 x x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 a a)) (neg.f64 a)) |
(/.f64 (*.f64 (*.f64 a x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 (*.f64 (*.f64 a x) a) a) |
(/.f64 (*.f64 (*.f64 x x) a) x) |
(/.f64 (*.f64 x x) (/.f64 x a)) |
x |
a |
(*.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))) |
(fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64))) #s(approx (exp (* a x)) #s(literal 1 binary64))) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))))) |
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
(*.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (log.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
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(+.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (neg.f64 x) (/.f64 (neg.f64 a) x))) |
(+.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) x) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a))))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 a a) a) a)) (*.f64 x x) (*.f64 a (-.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a))) (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 a x) a) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) (*.f64 a a)))) |
(+.f64 (neg.f64 (neg.f64 a)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a) a) |
(+.f64 a (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
(*.f64 (*.f64 x (fabs.f64 a)) (fabs.f64 a)) |
(*.f64 (*.f64 (neg.f64 x) a) (neg.f64 a)) |
(*.f64 (fabs.f64 a) (*.f64 (fabs.f64 a) x)) |
(*.f64 (neg.f64 a) (*.f64 (neg.f64 x) a)) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 a x) a) |
(*.f64 a (*.f64 a x)) |
(*.f64 x (*.f64 a a)) |
(*.f64 (*.f64 (neg.f64 a) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 (neg.f64 a) a) #s(literal -1 binary64)) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 a (neg.f64 a))) |
(*.f64 (*.f64 a a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 a a)) |
(*.f64 a (*.f64 #s(literal -1 binary64) (neg.f64 a))) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 a) a)) |
(neg.f64 (*.f64 a (neg.f64 a))) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.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 (* x a) (*.f64 a x)) |
#s(approx a a) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.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)) |
(*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64))) |
#s(approx (exp (* a x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))) |
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (*.f64 (*.f64 a x) a) #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 (+ (* x a) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 a x)) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) a) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (* (* a a) x) (*.f64 (*.f64 a x) a)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (exp (* a x)) (exp.f64 (*.f64 a x))) |
#s(approx (+ (* x a) 1) (*.f64 a x)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (*.f64 (*.f64 (*.f64 a x) a) x) #s(literal 1/2 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 a x)) a)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.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 x x) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.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 x) a) #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 (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (*.f64 (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
#s(approx (+ (* x a) 1) (fma.f64 a x #s(literal 1 binary64))) |
#s(approx (+ (* (* (* a a) x) 1/2) a) (fma.f64 (*.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a)) |
Compiled 4 646 to 1 664 computations (64.2% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 496 | 7 | 503 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 496 | 13 | 509 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
| ✓ | 21.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ▶ | 72.3% | (expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| 49.8% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) | |
| 44.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a))) | |
| ▶ | 38.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
| ✓ | 59.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ▶ | 39.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
| 44.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) | |
| ▶ | 50.4% | #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
Compiled 193 to 191 computations (1% saved)
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x a) |
x |
a |
#s(literal 2 binary64) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 x a)) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (/.f64 x a) a) |
(/.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 a a) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 a x) |
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))))))))) |
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x)))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#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 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (* (/ x a) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (/ x a) a) #s(hole binary64 x)) |
#s(approx (/ x a) #s(hole binary64 (/ x a))) |
#s(approx (* (/ x a) (* a a)) #s(hole binary64 (* a x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ (* a a) (/ a x)) #s(hole binary64 (* a x))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x))))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#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 (- (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) (* x x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (/ a x) (* x 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 x) #s(hole binary64 (pow x 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | ((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x)) |
| 3.0ms | x | @ | -inf | ((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x)) |
| 2.0ms | a | @ | -inf | ((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x)) |
| 2.0ms | x | @ | 0 | ((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x)) |
| 2.0ms | a | @ | inf | ((/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) (- (exp (* (* x a) 2)) 1) (* (* x a) 2) (* x a) x a 2 (- (exp (* x a)) -1) (exp (* x a)) -1 (- (exp (* a x)) 1) (* (* (/ x a) a) a) (* (/ x a) a) (/ x a) (- (exp (* a x)) 1) (* (/ x a) (* a a)) (* a a) (- (exp (* a x)) 1) (/ (* a a) (/ a x)) (/ a x) (- (exp (* (/ a x) (* x x))) 1) (* (/ a x) (* x x)) (* x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 279 | 1502 |
| 0 | 308 | 1424 |
| 1 | 1891 | 1424 |
| 0 | 8435 | 1286 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x a) |
x |
a |
#s(literal 2 binary64) |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 x a)) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (/.f64 x a) a) |
(/.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 a a) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 a x) |
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 x x) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))))))))) |
#s(approx (* (* x a) 2) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (* x a) #s(hole binary64 (* a x))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x)))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#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 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (* (/ x a) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (/ x a) a) #s(hole binary64 x)) |
#s(approx (/ x a) #s(hole binary64 (/ x a))) |
#s(approx (* (/ x a) (* a a)) #s(hole binary64 (* a x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ (* a a) (/ a x)) #s(hole binary64 (* a x))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x))))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (* x a) 2)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))) |
#s(approx (- (exp (* (* x a) 2)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#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 (- (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) (* x x))) 1) #s(hole binary64 (* x (+ a (* 1/2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) #s(hole binary64 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (/ a x) (* x 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 x) #s(hole binary64 (pow x 2))) |
| Outputs |
|---|
(*.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x)))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 a x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fma.f64 (fabs.f64 (exp.f64 (*.f64 a x))) (fabs.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 a x))) (neg.f64 (exp.f64 (*.f64 a x))) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 a x))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (*.f64 a x))) #s(literal 2 binary64))) |
(expm1.f64 (*.f64 (+.f64 a a) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 a a) x) |
(*.f64 (*.f64 a x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 a x)) |
(*.f64 x (+.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 a x) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 a x) (*.f64 a x) (-.f64 (*.f64 (*.f64 a x) (*.f64 a x)) (*.f64 (*.f64 a x) (*.f64 a x))))) |
(fma.f64 a x (*.f64 a x)) |
(fma.f64 x a (*.f64 a x)) |
(+.f64 (*.f64 a x) (*.f64 a x)) |
(*.f64 a x) |
(*.f64 x a) |
x |
a |
#s(literal 2 binary64) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 a x #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (expm1.f64 (*.f64 a x)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x)))))) (/.f64 (exp.f64 (*.f64 (*.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 a x))))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 a x))) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 a x)))) |
(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))) |
(pow.f64 (exp.f64 a) x) |
(pow.f64 (exp.f64 x) a) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 a x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 a x)) (cosh.f64 (*.f64 a x)) (-.f64 (*.f64 (sinh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) (*.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x)))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(exp.f64 (*.f64 a x)) |
(+.f64 (cosh.f64 (*.f64 a x)) (sinh.f64 (*.f64 a x))) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 a a) a) x) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 a (/.f64 a (/.f64 a x))) |
(*.f64 a (*.f64 (/.f64 x a) a)) |
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (neg.f64 (/.f64 a x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x))) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) (*.f64 a a)))) |
(*.f64 (/.f64 x a) a) |
(*.f64 a (/.f64 x a)) |
(/.f64 (neg.f64 (*.f64 a x)) (neg.f64 a)) |
(/.f64 (*.f64 a x) a) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) x) |
(*.f64 x (/.f64 #s(literal 1 binary64) a)) |
(pow.f64 (/.f64 a x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 x) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a x))) |
(/.f64 x a) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 a a) a) x) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 a (/.f64 a (/.f64 a x))) |
(*.f64 a (*.f64 (/.f64 x a) a)) |
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (neg.f64 (/.f64 a x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x))) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) (*.f64 a a)))) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (*.f64 a a) a) x) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 (/.f64 x a) a) a) |
(*.f64 (/.f64 x a) (*.f64 a a)) |
(*.f64 a (/.f64 a (/.f64 a x))) |
(*.f64 a (*.f64 (/.f64 x a) a)) |
(pow.f64 (/.f64 (/.f64 a x) (*.f64 a a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (neg.f64 (/.f64 a x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x))) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) (*.f64 a a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) a) |
(*.f64 a (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 a) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x a))) |
(/.f64 a x) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (/.f64 a x))) (*.f64 x x))) |
(expm1.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (*.f64 (/.f64 a x) x) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (*.f64 (/.f64 a x) x) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (*.f64 (/.f64 a x) x) x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (/.f64 a x) x) x) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) a)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) a) x) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) x) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (+.f64 a a) x)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 2/3 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a)) |
#s(approx (* (* x a) 2) (*.f64 (+.f64 a a) x)) |
#s(approx (* x a) (*.f64 a x)) |
#s(approx a a) |
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64)) |
#s(approx (- (exp (* x a)) -1) (fma.f64 a x #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (fma.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 x) a #s(literal 2 binary64))) |
#s(approx (exp (* x a)) #s(literal 1 binary64)) |
#s(approx (exp (* x a)) (fma.f64 a x #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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* 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 x) a)) |
#s(approx (- (exp (* 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 x) a)) |
#s(approx (* (/ x a) (* a a)) (*.f64 a x)) |
#s(approx (* (/ x a) a) x) |
#s(approx (/ x a) (/.f64 x a)) |
#s(approx (* (/ x a) (* a a)) (*.f64 a x)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (* (/ x a) (* a a)) (*.f64 a x)) |
#s(approx (/ a x) (/.f64 a x)) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 a x)) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* (/ a x) (* x 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 x) a)) |
#s(approx (- (exp (* (/ a x) (* x 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 x) a)) |
#s(approx (* (/ a x) (* x x)) (*.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* (* x a) 2)) 1) (expm1.f64 (*.f64 (+.f64 a a) x))) |
#s(approx (- (exp (* x a)) -1) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))) |
#s(approx (exp (* x a)) (exp.f64 (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) (expm1.f64 (*.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 4/3 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x)) |
#s(approx (- (exp (* (* x a) 2)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x)) |
#s(approx x x) |
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x #s(literal 2 binary64))) |
#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 #s(literal 1/2 binary64) (*.f64 a a))) x a) x #s(literal 1 binary64))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) 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 #s(literal 1/24 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x)) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
#s(approx (- (exp (* (/ a x) (* x x))) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 a a))) x a) x)) |
#s(approx (- (exp (* (/ a x) (* x 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 #s(literal 1/2 binary64) (*.f64 a a))) x a) x)) |
#s(approx (* x x) (*.f64 x x)) |
Compiled 2 165 to 894 computations (58.7% saved)
16 alts after pruning (7 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 4 | 247 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 244 | 16 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) | |
| ▶ | 100.0% | (/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
| ✓ | 21.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 72.3% | (expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ▶ | 49.8% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
| ▶ | 40.8% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
| 44.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a))) | |
| ✓ | 38.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
| ✓ | 59.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ✓ | 39.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
| ▶ | 44.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
| ✓ | 50.4% | #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
| ▶ | 49.9% | #s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
Compiled 247 to 241 computations (2.4% saved)
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(+.f64 a a) |
a |
x |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 x a)) |
(*.f64 x a) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(/.f64 a x) |
(*.f64 x x) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
(/.f64 (*.f64 (*.f64 a x) a) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
(*.f64 a (/.f64 a (/.f64 a x))) |
(/.f64 a (/.f64 a x)) |
| Outputs |
|---|
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))))))))) |
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x)))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#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 (* x a) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (/ (* (* a a) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ (* (* a x) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx (* a (/ a (/ a x))) #s(hole binary64 (* a x))) |
#s(approx (/ a (/ a x)) #s(hole binary64 x)) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x))))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#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 (- (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 x) #s(hole binary64 (pow x 2))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (- (exp (* (+ a a) x)) 1) (* (+ a a) x) (+ a a) a x (- (exp (* x a)) -1) (exp (* x a)) (* x a) -1 (- (exp (* a x)) 1) (* (/ a x) (* x x)) (/ a x) (* x x) (- (exp (* a x)) 1) (/ (* (* a a) x) a) (* (* a a) x) (* a a) (- (exp (* a x)) 1) (/ (* (* a x) a) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* a (/ a (/ a x))) (/ a (/ a x))) |
| 2.0ms | x | @ | -inf | ((/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (- (exp (* (+ a a) x)) 1) (* (+ a a) x) (+ a a) a x (- (exp (* x a)) -1) (exp (* x a)) (* x a) -1 (- (exp (* a x)) 1) (* (/ a x) (* x x)) (/ a x) (* x x) (- (exp (* a x)) 1) (/ (* (* a a) x) a) (* (* a a) x) (* a a) (- (exp (* a x)) 1) (/ (* (* a x) a) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* a (/ a (/ a x))) (/ a (/ a x))) |
| 2.0ms | a | @ | inf | ((/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (- (exp (* (+ a a) x)) 1) (* (+ a a) x) (+ a a) a x (- (exp (* x a)) -1) (exp (* x a)) (* x a) -1 (- (exp (* a x)) 1) (* (/ a x) (* x x)) (/ a x) (* x x) (- (exp (* a x)) 1) (/ (* (* a a) x) a) (* (* a a) x) (* a a) (- (exp (* a x)) 1) (/ (* (* a x) a) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* a (/ a (/ a x))) (/ a (/ a x))) |
| 2.0ms | x | @ | inf | ((/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (- (exp (* (+ a a) x)) 1) (* (+ a a) x) (+ a a) a x (- (exp (* x a)) -1) (exp (* x a)) (* x a) -1 (- (exp (* a x)) 1) (* (/ a x) (* x x)) (/ a x) (* x x) (- (exp (* a x)) 1) (/ (* (* a a) x) a) (* (* a a) x) (* a a) (- (exp (* a x)) 1) (/ (* (* a x) a) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* a (/ a (/ a x))) (/ a (/ a x))) |
| 2.0ms | a | @ | 0 | ((/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) (- (exp (* (+ a a) x)) 1) (* (+ a a) x) (+ a a) a x (- (exp (* x a)) -1) (exp (* x a)) (* x a) -1 (- (exp (* a x)) 1) (* (/ a x) (* x x)) (/ a x) (* x x) (- (exp (* a x)) 1) (/ (* (* a a) x) a) (* (* a a) x) (* a a) (- (exp (* a x)) 1) (/ (* (* a x) a) a) (* (* a x) a) (* a x) (- (exp (* a x)) 1) (* a (/ a (/ a x))) (/ a (/ a x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 277 | 1354 |
| 0 | 306 | 1367 |
| 1 | 1864 | 1276 |
| 0 | 8357 | 1150 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(expm1.f64 (*.f64 (+.f64 a a) x)) |
(*.f64 (+.f64 a a) x) |
(+.f64 a a) |
a |
x |
(-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(exp.f64 (*.f64 x a)) |
(*.f64 x a) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(/.f64 a x) |
(*.f64 x x) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(*.f64 (*.f64 a a) x) |
(*.f64 a a) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
(/.f64 (*.f64 (*.f64 a x) a) a) |
(*.f64 (*.f64 a x) a) |
(*.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
(*.f64 a (/.f64 a (/.f64 a x))) |
(/.f64 a (/.f64 a x)) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a x))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3)))))))))) |
#s(approx (* (+ a a) x) #s(hole binary64 (* 2 (* a x)))) |
#s(approx (+ a a) #s(hole binary64 (* 2 a))) |
#s(approx a #s(hole binary64 a)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 2)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a x)))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* 1/2 (* a (pow x 2)))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))))) |
#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 (* x a) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a x))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* 1/2 (* a (pow x 2))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))))) |
#s(approx (* (/ a x) (* x x)) #s(hole binary64 (* a x))) |
#s(approx (/ a x) #s(hole binary64 (/ a x))) |
#s(approx (/ (* (* a a) x) a) #s(hole binary64 (* a x))) |
#s(approx (* (* a a) x) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a a) #s(hole binary64 (pow a 2))) |
#s(approx (/ (* (* a x) a) a) #s(hole binary64 (* a x))) |
#s(approx (* (* a x) a) #s(hole binary64 (* (pow a 2) x))) |
#s(approx (* a x) #s(hole binary64 (* a x))) |
#s(approx (* a (/ a (/ a x))) #s(hole binary64 (* a x))) |
#s(approx (/ a (/ a x)) #s(hole binary64 x)) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x)))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (- (exp (* 2 (* a x))) 1))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 1 (exp (* a x))))) |
#s(approx (exp (* x a)) #s(hole binary64 (exp (* a x)))) |
#s(approx (- (exp (* a x)) 1) #s(hole binary64 (- (exp (* a x)) 1))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (/ (- (exp (* (+ a a) x)) 1) (- (exp (* x a)) -1)) #s(hole binary64 (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))) |
#s(approx (- (exp (* (+ a a) x)) 1) #s(hole binary64 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x))))))) |
#s(approx (- (exp (* x a)) -1) #s(hole binary64 (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))))) |
#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 (- (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 x) #s(hole binary64 (pow x 2))) |
| Outputs |
|---|
(*.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 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 a a) x)) (-.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 (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x)))) (neg.f64 (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 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (+.f64 a a) x))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(expm1.f64 (*.f64 x a)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.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 a a) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64))))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 x a)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.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 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x)))) |
(fma.f64 (fabs.f64 (exp.f64 (*.f64 x a))) (fabs.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 x a))) (neg.f64 (exp.f64 (*.f64 x a))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 (*.f64 x a)) (exp.f64 (*.f64 x a)) #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x)) |
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 x a))) |
(expm1.f64 (*.f64 (+.f64 a a) x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))))) |
(-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal 1 binary64)) |
(+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) #s(literal -1 binary64)) |
(*.f64 (+.f64 a a) x) |
(*.f64 #s(literal 2 binary64) (*.f64 x a)) |
(*.f64 (*.f64 x a) #s(literal 2 binary64)) |
(*.f64 x (+.f64 a a)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 x a) (*.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 x a) (*.f64 x a) (-.f64 (*.f64 (*.f64 x a) (*.f64 x a)) (*.f64 (*.f64 x a) (*.f64 x a))))) |
(fma.f64 x a (*.f64 x a)) |
(fma.f64 a x (*.f64 x a)) |
(+.f64 (*.f64 x a) (*.f64 x a)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 a a))) (neg.f64 (-.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(/.f64 (-.f64 (*.f64 a a) (*.f64 a a)) (-.f64 a a)) |
(/.f64 (fma.f64 (*.f64 a a) a (*.f64 (*.f64 a a) a)) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) |
(neg.f64 (-.f64 (neg.f64 a) a)) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a a))) |
(+.f64 (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a)))) (/.f64 (*.f64 (*.f64 a a) a) (fma.f64 a a (-.f64 (*.f64 a a) (*.f64 a a))))) |
(+.f64 a a) |
a |
x |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x a #s(literal 0 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 a a) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (+.f64 a a) x))) (neg.f64 (expm1.f64 (*.f64 x a)))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 x a))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x a)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a)))) (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x a))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (expm1.f64 (*.f64 x a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (+.f64 #s(literal 1 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) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 x a)))))) (/.f64 (exp.f64 (*.f64 (*.f64 x a) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 a a) x)) (exp.f64 (+.f64 #s(literal 0 binary64) (*.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 a) x) |
(pow.f64 (exp.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)))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) x)) |
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a)) |
(exp.f64 (*.f64 x a)) |
(+.f64 (cosh.f64 (*.f64 x a)) (sinh.f64 (*.f64 x a))) |
(*.f64 x a) |
(*.f64 a x) |
#s(literal -1 binary64) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 x x) a) x)) |
(*.f64 (*.f64 (/.f64 a x) x) x) |
(*.f64 (*.f64 x x) (/.f64 a x)) |
(*.f64 (/.f64 a x) (*.f64 x x)) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) a)) (neg.f64 x)) |
(/.f64 (*.f64 (*.f64 x x) a) x) |
(*.f64 a (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 x a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 a) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x a))) |
(/.f64 a x) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
(*.f64 (*.f64 (*.f64 a a) x) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 x a) (/.f64 a a)) |
(pow.f64 (/.f64 a (*.f64 (*.f64 a a) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a a) x))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a)) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 a a) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 a a) x)))) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 x a) a) |
(*.f64 x (*.f64 a a)) |
(*.f64 a (*.f64 x a)) |
(*.f64 (fabs.f64 (fabs.f64 a)) (fabs.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (fabs.f64 a)) (neg.f64 (fabs.f64 a))) |
(*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 a))) |
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a))) |
(*.f64 (fabs.f64 a) (fabs.f64 a)) |
(*.f64 (neg.f64 a) (neg.f64 a)) |
(*.f64 a a) |
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 a) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 a) #s(literal 2 binary64)) |
(pow.f64 (*.f64 a a) #s(literal 1 binary64)) |
(pow.f64 a #s(literal 2 binary64)) |
(fabs.f64 (*.f64 a a)) |
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
(*.f64 (*.f64 (*.f64 a a) x) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (*.f64 a a) (/.f64 x a)) |
(*.f64 (*.f64 x a) (/.f64 a a)) |
(pow.f64 (/.f64 a (*.f64 (*.f64 a a) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 a a) x))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (*.f64 (*.f64 a a) x)) (neg.f64 a)) |
(/.f64 (*.f64 (*.f64 a a) x) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 a a) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 (*.f64 a a) x)))) |
(*.f64 (*.f64 a a) x) |
(*.f64 (*.f64 x a) a) |
(*.f64 x (*.f64 a a)) |
(*.f64 a (*.f64 x a)) |
(*.f64 x a) |
(*.f64 a x) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a a) x) a)) |
(*.f64 (/.f64 (fabs.f64 a) a) (/.f64 (fabs.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (neg.f64 a) a) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 a a) (/.f64 a (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 (/.f64 a a) x) a) |
(*.f64 a (*.f64 (/.f64 a a) x)) |
(/.f64 (neg.f64 (*.f64 a a)) (neg.f64 (/.f64 a x))) |
(/.f64 (*.f64 a a) (/.f64 a x)) |
(*.f64 (/.f64 a a) x) |
(*.f64 a (*.f64 (/.f64 #s(literal 1 binary64) a) x)) |
(pow.f64 (/.f64 (/.f64 a x) a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (/.f64 a x)))) |
(/.f64 (neg.f64 a) (neg.f64 (/.f64 a x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a x) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a x) a))) |
(/.f64 a (/.f64 a x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 a (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 (*.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) x)))) a (fma.f64 x x (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) a x) a)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (+.f64 a a) x)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 x (*.f64 (*.f64 x x) a))) a)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) a) #s(literal 4/3 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 #s(literal 2/3 binary64) a) (*.f64 (*.f64 x x) (*.f64 x x)))) a (*.f64 (*.f64 x x) #s(literal 2 binary64))) a (+.f64 x x)) a)) |
#s(approx (* (+ a a) x) (*.f64 (+.f64 a a) x)) |
#s(approx (+ a a) (+.f64 a a)) |
#s(approx a a) |
#s(approx (- (exp (* x a)) -1) #s(literal 2 binary64)) |
#s(approx (- (exp (* x a)) -1) (fma.f64 x a #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (fma.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 x) a #s(literal 2 binary64))) |
#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 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) x) a) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) a x) a #s(literal 1 binary64))) |
#s(approx (* a x) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)) |
#s(approx (- (exp (* 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 x) a)) |
#s(approx (- (exp (* 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 x) a)) |
#s(approx (* (/ a x) (* x x)) (*.f64 x a)) |
#s(approx (/ a x) (/.f64 a x)) |
#s(approx (/ (* (* a x) a) a) (*.f64 x a)) |
#s(approx (* (* a x) a) (*.f64 (*.f64 a a) x)) |
#s(approx (* a a) (*.f64 a a)) |
#s(approx (/ (* (* a x) a) a) (*.f64 x a)) |
#s(approx (* (* a x) a) (*.f64 (*.f64 a a) x)) |
#s(approx (* a x) (*.f64 x a)) |
#s(approx (* a (/ a (/ a x))) (*.f64 x a)) |
#s(approx (/ a (/ a x)) x) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (- (exp (* (+ a a) x)) 1) (expm1.f64 (*.f64 (+.f64 a a) x))) |
#s(approx (- (exp (* x a)) -1) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
#s(approx (exp (* x a)) (exp.f64 (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (expm1.f64 (*.f64 x a))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 x (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (*.f64 a a) (*.f64 a a)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 a a)) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) a) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 2/3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a))) (*.f64 (*.f64 (*.f64 a a) a) #s(literal 1/4 binary64)))) x (fma.f64 a a (*.f64 #s(literal -1/2 binary64) (*.f64 a a)))) x a) x)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (*.f64 (*.f64 a a) x))) x)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 a a) a) x) #s(literal 4/3 binary64) (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x)) |
#s(approx (- (exp (* (+ a a) x)) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) a) #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 (*.f64 a a) (*.f64 a a))) x)) x (*.f64 (*.f64 a a) #s(literal 2 binary64))) x (+.f64 a a)) x)) |
#s(approx x x) |
#s(approx (- (exp (* x a)) -1) (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x a) x #s(literal 2 binary64))) |
#s(approx (- (exp (* x a)) -1) (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 2 binary64))) |
#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 (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 1/2 binary64)) x 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 #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) (*.f64 x x)) |
Compiled 1 833 to 834 computations (54.5% saved)
17 alts after pruning (3 fresh and 14 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 2 | 202 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 9 | 9 |
| Total | 201 | 17 | 218 |
| Status | Accuracy | Program |
|---|---|---|
| 99.9% | (/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) | |
| ✓ | 100.0% | (/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
| ✓ | 21.8% | (-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | 20.0% | (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | 72.3% | (expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
| ✓ | 100.0% | (expm1.f64 (*.f64 x a)) |
| ✓ | 49.8% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
| ✓ | 40.8% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
| 44.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a))) | |
| ✓ | 38.5% | #s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
| ✓ | 59.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (fma.f64 (*.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)) |
| ✓ | 39.0% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
| ✓ | 44.5% | #s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
| ✓ | 50.4% | #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
| 49.8% | #s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x)) | |
| ✓ | 64.9% | #s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
| ✓ | 49.9% | #s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
Compiled 301 to 245 computations (18.6% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a))) |
(expm1.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)) |
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
(expm1.f64 (*.f64 (/.f64 a x) (*.f64 x x))) |
(/.f64 (expm1.f64 (*.f64 (+.f64 a a) x)) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (*.f64 x a) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 (+.f64 a a) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (+.f64 a a) x #s(literal 0 binary64))))) (-.f64 (exp.f64 (*.f64 x a)) #s(literal -1 binary64)))) |
| Outputs |
|---|
(expm1.f64 (*.f64 x a)) |
5 calls:
| 11.0ms | x |
| 5.0ms | a |
| 5.0ms | (*.f64 a x) |
| 4.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 4.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (*.f64 a x) |
| 100.0% | 1 | (exp.f64 (*.f64 a x)) |
| 100.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 100.0% | 1 | a |
| 100.0% | 1 | x |
Compiled 15 to 17 computations (-13.3% saved)
| Inputs |
|---|
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 a x) x) x)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (*.f64 (/.f64 x a) a) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 a x) (*.f64 x x))) |
#s(approx (- (exp (* a x)) 1) (*.f64 (/.f64 x a) (*.f64 a a))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a a) x) a)) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 (*.f64 a x) a) a)) |
#s(approx (- (exp (* a x)) 1) (*.f64 a (/.f64 a (/.f64 a x)))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 a a) (/.f64 a x))) |
#s(approx (- (exp (* a x)) 1) (/.f64 (*.f64 x x) (/.f64 x a))) |
| Outputs |
|---|
#s(approx (- (exp (* a x)) 1) (*.f64 x a)) |
5 calls:
| 6.0ms | (exp.f64 (*.f64 a x)) |
| 3.0ms | a |
| 3.0ms | x |
| 3.0ms | (*.f64 a x) |
| 2.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 1 | (*.f64 a x) |
| 64.9% | 1 | (exp.f64 (*.f64 a x)) |
| 64.9% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 64.9% | 1 | a |
| 64.9% | 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 | (*.f64 a x) |
| 1.0ms | x |
| 1.0ms | a |
| 1.0ms | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
| 1.0ms | (exp.f64 (*.f64 a x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 20.0% | 1 | a |
| 20.0% | 1 | x |
| 20.0% | 1 | (*.f64 a x) |
| 20.0% | 1 | (exp.f64 (*.f64 a x)) |
| 20.0% | 1 | (-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) |
Compiled 15 to 17 computations (-13.3% saved)
| 1× | fuel |
Compiled 15 to 12 computations (20% saved)
(sort a x)
Compiled 63 to 60 computations (4.8% saved)
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