Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze64.0ms (1.2%)

Memory

-29.6MiB live, 30.4MiB allocated; 62ms collecting garbage

Algorithm

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample715.0ms (13.2%)

Memory

17.8MiB live, 623.4MiB allocated; 147ms collecting garbage

Samples

334.0ms	8 256×	0	valid
36.0ms	311×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-expm1: 83.0ms (44.1% of total)

ival-mult: 69.0ms (36.7% of total)

ival->: 22.0ms (11.7% of total)

exact: 7.0ms (3.7% of total)

ival-assert: 4.0ms (2.1% of total)

adjust: 3.0ms (1.6% of total)

Bogosity

explain196.0ms (3.6%)

Memory

8.4MiB live, 54.4MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
140	3	(2.4272142277846944e-152 -4.6953468924981914e-172)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	143	1
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	141	0
-	3	112

Precision

0.9791666666666666

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	141	0	0
-	3	1	111

Precision?

0.9724137931034482

Recall?

1.0

Freqs

test

number	freq
0	112
1	144

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

153.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-expm1: 130.0ms (93.1% of total)

ival-exp: 4.0ms (2.9% of total)

ival-mult: 4.0ms (2.9% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess263.0ms (4.8%)

Memory

11.7MiB live, 109.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	39	36
2	73	36
3	193	36
4	778	36
5	6198	36
0	6	6
0	9	6
1	17	6
2	32	6
3	73	6
4	241	6
5	1878	6
6	5696	6
0	8242	4

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.8%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify110.0ms (2%)

Memory

1.7MiB live, 89.4MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a x)
cost-diff	0	(exp.f64 (*.f64 a x))
cost-diff	2	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	32	16
3	73	16
4	241	16
5	1878	16
6	5696	16
0	8242	14

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)
a
x
#s(literal 1 binary64)

Outputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (*.f64 x a))
(exp.f64 (*.f64 a x))
(pow.f64 (exp.f64 x) a)
(*.f64 a x)
(*.f64 x a)
a
x
#s(literal 1 binary64)

localize17.0ms (0.3%)

Memory

13.9MiB live, 13.9MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.027848761784941275	(exp.f64 (*.f64 a x))
accuracy	32.08190781276613	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 2.0ms (33.6% of total)

ival-mult: 2.0ms (33.6% of total)

ival-expm1: 2.0ms (33.6% of total)

ival-true: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(- (exp (* a x)) 1)
(exp (* a x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
1.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify339.0ms (6.2%)

Memory

-26.2MiB live, 157.2MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(- (exp (* a x)) 1)
(exp (* a x))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))

Outputs
(* a x)
(*.f64 x a)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 x a #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 x a))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))

rewrite621.0ms (11.4%)

Memory

-25.6MiB live, 262.0MiB allocated; 949ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 384

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(exp.f64 (*.f64 a x))
(*.f64 a x)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 4 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)))) (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))) (/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (expm1.f64 (.f64 x a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))) (/.f64 (expm1.f64 (.f64 x a)) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))))) (/.f64 (expm1.f64 (.f64 x a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x a))) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))))) (/.f64 (expm1.f64 (.f64 x a)) (neg.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x a))) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (/.f64 (expm1.f64 (.f64 x a)) (+.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) #s(literal 1 binary64))) (expm1.f64 (.f64 x a)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (.f64 x a)))) (expm1.f64 (.f64 x a)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) (.f64 (sinh.f64 (*.f64 x a)) (pow.f64 (exp.f64 x) a)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a)))
(fma.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))))
(-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 (neg.f64 x) a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))))
(+.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 a (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 a (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 1 binary64)))
(exp.f64 (*.f64 x a))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a)
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 x) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 a x #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval69.0ms (1.3%)

Memory: 5.0MiB live, 108.6MiB allocated; 17ms collecting garbage
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune13.0ms (0.2%)

Memory

-5.0MiB live, 37.9MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	386	9	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	387	9	396

Accuracy

100.0%

Counts

396 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.9%	(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
▶	20.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
	66.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
	65.0%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	70.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 280 to 188 computations (32.9% saved)

simplify180.0ms (3.3%)

Memory

-0.4MiB live, 182.9MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
cost-diff	0	(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 x a #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff	0	(*.f64 x a)
cost-diff	0	(expm1.f64 (*.f64 x a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	212
0	47	212
1	94	212
2	285	212
3	1142	212
4	3344	212
5	7164	212
0	8261	212

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
#s(literal 1 binary64)
(*.f64 x a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
(.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(*.f64 a a)
a
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 x a)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
(expm1.f64 (*.f64 x a))
(expm1.f64 (*.f64 a x))
(*.f64 x a)
(*.f64 a x)
x
a
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(fma.f64 a x #s(literal 1 binary64))
x
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 a x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 a x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
#s(literal 1 binary64)
(*.f64 x a)
(*.f64 a x)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a)
(.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(*.f64 a a)
a
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(*.f64 x a)
(*.f64 a x)
x
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize98.0ms (1.8%)

Memory

-19.0MiB live, 122.6MiB allocated; 42ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.6541895958857349	(.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	4.705684217992465	(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
accuracy	18.670889953443456	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.06869125976844201	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	18.706208669348463	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	18.886201174227264	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	19.103342954847115	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.04347376178494128	(expm1.f64 (*.f64 x a))

Samples

81.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 49.0ms (74.9% of total)

ival-add: 7.0ms (10.7% of total)

ival-expm1: 3.0ms (4.6% of total)

const: 3.0ms (4.6% of total)

ival-exp: 2.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

13.2MiB live, 13.2MiB allocated; 0ms collecting garbage

Counts

17 → 67

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
(*.f64 #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (* 1/2 (* a x)))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* 1/2 a)
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (* 1/6 (* a x))))
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 3) x))
(* (pow a 3) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 a) (/ 1 x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* x (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* -1 (* x (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a) (* (* a a) (+ (* (* x a) 1/6) 1/2)))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a) (* (* a a) (+ (* (* x a) 1/6) 1/2)))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a) (* (* a a) (+ (* (* x a) 1/6) 1/2)))
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a) (* (* a a) (+ (* (* x a) 1/6) 1/2)))
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a) (* (* a a) (+ (* (* x a) 1/6) 1/2)))

simplify164.0ms (3%)

Memory

37.7MiB live, 124.5MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	226	956
1	835	936
2	3478	884
0	8335	807

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 66

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (* 1/2 (* a x)))
a
(* a (+ 1 (* 1/2 (* a x))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(* 1/2 a)
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (* 1/6 (* a x))))
(- (exp (* a x)) 1)
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* 1/6 (* (pow a 3) x))
(* (pow a 3) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 a) (/ 1 x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* x (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* -1 (* x (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* 1/2 (pow a 2))
(.f64 (.f64 a a) #s(literal 1/2 binary64))
(* (pow a 2) (+ 1/2 (* 1/6 (* a x))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 #s(literal 1/2 binary64) (.f64 a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) x)
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 a (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a) #s(literal 1 binary64)))
(* 1/6 (* (pow a 3) x))
(.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64))
(* (pow a 3) (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(.f64 (neg.f64 a) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) a) a) (.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1/2 binary64) a)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 a (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (*.f64 a a) #s(literal 1 binary64)))
(* -1 (* (pow a 3) (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1/2 binary64) a)))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(+ a (* 1/2 (* (pow a 2) x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x)
(* x (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) x) x) (.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x)
(* -1 (* x (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) x)

rewrite190.0ms (3.5%)

Memory

-29.6MiB live, 159.8MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	182
0	47	182
1	218	182
2	1668	182
0	8438	182

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

17 → 336

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(*.f64 x a)
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
(fma.f64 x a #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
(*.f64 #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Outputs
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64))))))
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(*.f64 #s(literal 1/2 binary64) a)
(*.f64 a #s(literal 1/2 binary64))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) (neg.f64 a)) (neg.f64 a))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(.f64 (neg.f64 a) (.f64 (neg.f64 a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) (*.f64 a a))
(.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)))
(.f64 a (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 #s(literal -1/2 binary64) (.f64 a a)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 #s(literal -1/2 binary64) (.f64 a a))))))
(/.f64 (-.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))) (pow.f64 (.f64 (neg.f64 (.f64 a a)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 a a)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 a a)) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (neg.f64 (.f64 a a)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))))) (+.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x))))))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 a a))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 a a))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 a a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (.f64 a a)) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 a a)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (.f64 a a) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 a a) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 a)) (neg.f64 a) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 a a) (.f64 a x)) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 a a) x) (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (neg.f64 a)) (neg.f64 a) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) a) a (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (neg.f64 a) (.f64 (neg.f64 a) (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 a a) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 a a)) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 a a) (.f64 #s(literal 1/6 binary64) (.f64 a x)) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 (.f64 a a) #s(literal 1/2 binary64) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) a (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 #s(literal 1/2 binary64) (.f64 a a) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a a)) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 a (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(fma.f64 a (.f64 #s(literal 1/2 binary64) a) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (*.f64 a x)))
(fma.f64 x (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 a a)) (.f64 (*.f64 a a) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 #s(literal -1/2 binary64) (.f64 a a)))
(-.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (neg.f64 (.f64 a a)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 a a) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)))
(+.f64 (.f64 (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 a x)) (.f64 (.f64 a a) #s(literal 1/2 binary64)))

eval104.0ms (1.9%)

Memory: -5.1MiB live, 93.5MiB allocated; 60ms collecting garbage
Compiler: Compiled 19 304 to 2 125 computations (89% saved)

prune13.0ms (0.2%)

Memory

32.7MiB live, 32.7MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	412	8	420
Fresh	4	0	4
Picked	1	4	5
Done	0	0	0
Total	417	12	429

Accuracy

100.0%

Counts

429 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	3.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
	4.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
▶	19.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	19.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	49.8%	(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	66.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a x) a))
▶	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	70.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 373 to 267 computations (28.4% saved)

simplify103.0ms (1.9%)

Memory

-18.4MiB live, 72.5MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 (neg.f64 (*.f64 a x)))
cost-diff	0	(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
cost-diff	2	(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
cost-diff	3	(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
cost-diff	2	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
cost-diff	0	(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	313
0	67	298
1	127	292
2	255	292
3	775	292
4	2857	284
0	9416	278

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(neg.f64 x)
x
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
(neg.f64 a)
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
#s(literal 0 binary64)
(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
(exp.f64 (neg.f64 (*.f64 a x)))
(neg.f64 (*.f64 a x))
(*.f64 a x)
a
x

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
a
x
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* x a) 1) (*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
(neg.f64 a)
a
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x a)
a
#s(literal 1 binary64)
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
(expm1.f64 (*.f64 a x))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(*.f64 a x)
#s(literal 0 binary64)
(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
(*.f64 (neg.f64 a) x)
(exp.f64 (neg.f64 (*.f64 a x)))
(pow.f64 (exp.f64 x) (neg.f64 a))
(neg.f64 (*.f64 a x))
(*.f64 (neg.f64 a) x)
(*.f64 a x)
a
x

localize104.0ms (1.9%)

Memory

11.9MiB live, 107.7MiB allocated; 14ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 (*.f64 a x))
accuracy	0.028422360958102494	(exp.f64 (neg.f64 (*.f64 a x)))
accuracy	0.04347376178494128	(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
accuracy	44.7160198644141	(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
accuracy	14.384008905448367	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
accuracy	18.706208669348463	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
accuracy	44.07040396036369	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
accuracy	0.015625	(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
accuracy	0.10546875	(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
accuracy	18.886201174227264	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
accuracy	0.05859375	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
accuracy	1.1890700445632025	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
accuracy	19.053316045292497	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	18.696572586299425	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

73.0ms

256×

valid

Compiler

Compiled 199 to 37 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 31.0ms (56.3% of total)

ival-add: 6.0ms (10.9% of total)

ival-expm1: 5.0ms (9.1% of total)

ival-div: 4.0ms (7.3% of total)

ival-exp: 4.0ms (7.3% of total)

ival-neg: 3.0ms (5.5% of total)

ival-sub: 2.0ms (3.6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory

-26.6MiB live, 17.9MiB allocated; 5ms collecting garbage

Counts

20 → 59

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
(exp.f64 (neg.f64 (*.f64 a x)))
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 a x))

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(* -1 (* a x))
(+ 1 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(/ -1 x)
(- (* -1 a) (/ 1 x))
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(exp (neg (* a x)))
(* -1 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(/ (- (* -1 (* a x)) 1) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -1 (+ a (/ 1 x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- 0 (log (exp (neg (* a x))))) (log (exp (neg (* a x)))) (- (exp (- 0 (log (exp (neg (* a x)))))) 1) (exp (neg (* a x))) (- (neg a) (/ 1 x)) (neg (* a x)))
4.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- 0 (log (exp (neg (* a x))))) (log (exp (neg (* a x)))) (- (exp (- 0 (log (exp (neg (* a x)))))) 1) (exp (neg (* a x))) (- (neg a) (/ 1 x)) (neg (* a x)))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- 0 (log (exp (neg (* a x))))) (log (exp (neg (* a x)))) (- (exp (- 0 (log (exp (neg (* a x)))))) 1) (exp (neg (* a x))) (- (neg a) (/ 1 x)) (neg (* a x)))
2.0ms	x	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- 0 (log (exp (neg (* a x))))) (log (exp (neg (* a x)))) (- (exp (- 0 (log (exp (neg (* a x)))))) 1) (exp (neg (* a x))) (- (neg a) (/ 1 x)) (neg (* a x)))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- 0 (log (exp (neg (* a x))))) (log (exp (neg (* a x)))) (- (exp (- 0 (log (exp (neg (* a x)))))) 1) (exp (neg (* a x))) (- (neg a) (/ 1 x)) (neg (* a x)))

simplify160.0ms (2.9%)

Memory

25.9MiB live, 163.2MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	582
1	638	577
2	2120	566
3	6285	566
0	8241	508

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 57

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(* -1 (* a x))
(+ 1 (* -1 (* a x)))
(+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(/ -1 x)
(- (* -1 a) (/ 1 x))
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(exp (neg (* a x)))
(* -1 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(/ (- (* -1 (* a x)) 1) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ a (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* -1 (+ a (/ 1 x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* -1 (* a x))
(*.f64 (neg.f64 a) x)
(+ 1 (* -1 (* a x)))
(fma.f64 (neg.f64 x) a #s(literal 1 binary64))
(+ 1 (* a (+ (* -1 x) (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 a (fma.f64 (.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))) x #s(literal 1 binary64))
(+ 1 (* a (+ (* -1 x) (* a (+ (* -1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal -1/6 binary64) a) x #s(literal 1/2 binary64))) a (neg.f64 x)) a #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 a) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* 1/2 (* (pow a 2) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* 1/2 (* a x))
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/2 (* a (pow x 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(exp (neg (* a x)))
(pow.f64 (exp.f64 x) (neg.f64 a))
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) (neg.f64 a))) (*.f64 a a))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ a (* 1/2 (* (pow a 2) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(+ 1 (* x (+ (* -1 a) (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 a (fma.f64 (.f64 #s(literal 1/2 binary64) x) a #s(literal -1 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 a) (* x (+ (* -1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x (neg.f64 a)) x #s(literal 1 binary64))
(/ (- (* -1 (* a x)) 1) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(* -1 (+ a (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))

rewrite267.0ms (4.9%)

Memory

26.7MiB live, 259.0MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	258
0	67	243
1	261	237
2	1702	236
0	9517	230

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 2 086

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(log.f64 (exp.f64 (neg.f64 (*.f64 a x))))
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
(exp.f64 (neg.f64 (*.f64 a x)))
(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (*.f64 a x))

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 (.f64 a x) (neg.f64 a))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3/2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 (.f64 a x) a)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3/2 binary64)) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 (.f64 a x) a)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3/2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 (.f64 a x) x)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 3/2 binary64)) a))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (fabs.f64 (.f64 a x))) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (fabs.f64 (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 x x)) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 a a)) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (neg.f64 a)) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 a x)) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (*.f64 a x)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) a) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 (neg.f64 x) (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (.f64 a x) #s(literal 3/2 binary64)) (.f64 a (*.f64 a x))))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (*.f64 a x) (neg.f64 a))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (*.f64 a x) a)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (*.f64 a x) a)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 (*.f64 a x) x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) a))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fabs.f64 (.f64 a x))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fabs.f64 (*.f64 a x))))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 x x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 a a)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (neg.f64 a)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (.f64 a x)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 a x)))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) a) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) a) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 (neg.f64 x) (*.f64 a x))))
(.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) x) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (.f64 a (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 (*.f64 a x) (neg.f64 a))) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 (*.f64 a x) a)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 (*.f64 a x) a)) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 (*.f64 a x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) a))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fabs.f64 (.f64 a x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fabs.f64 (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 a a)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (neg.f64 a)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (.f64 a x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 a x)))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) a) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) a) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (neg.f64 x) (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 a (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 a x) (neg.f64 a))) (/.f64 (*.f64 a x) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 a x) a)) (/.f64 (*.f64 a x) (neg.f64 x)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 a x) a)) (/.f64 (*.f64 a x) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 a x) x)) (/.f64 (*.f64 a x) a))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (neg.f64 a)) (/.f64 (.f64 a x) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) (.f64 (.f64 a x) (neg.f64 a))) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) x) (/.f64 (.f64 a x) (.f64 a (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) (.f64 (.f64 a x) a)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) (neg.f64 x)))
(.f64 (/.f64 (.f64 a x) (.f64 (.f64 a x) a)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) x))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) a) (/.f64 (.f64 a x) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) a) (/.f64 (.f64 a x) (.f64 (neg.f64 x) (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) (.f64 (.f64 a x) x)) (/.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)) a))
(.f64 (/.f64 (.f64 a x) (fabs.f64 (.f64 a x))) (fabs.f64 (.f64 a x)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a a)) (/.f64 (.f64 a x) (*.f64 x x)))
(.f64 (/.f64 (.f64 a x) (.f64 x x)) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 x x)) (/.f64 (.f64 a x) (*.f64 a a)))
(.f64 (/.f64 (.f64 a x) (.f64 a a)) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (/.f64 (.f64 a x) (.f64 a x)) (.f64 a x))
(.f64 (/.f64 (.f64 (*.f64 a x) (neg.f64 a)) (neg.f64 a)) (/.f64 x x))
(.f64 (/.f64 (.f64 (*.f64 a x) (neg.f64 a)) (neg.f64 x)) (/.f64 x a))
(.f64 (/.f64 (.f64 (*.f64 a x) (neg.f64 a)) a) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 a x) (neg.f64 a)) x) (/.f64 x (neg.f64 a)))
(.f64 (/.f64 (.f64 (*.f64 a x) a) (neg.f64 a)) (/.f64 (neg.f64 x) x))
(.f64 (/.f64 (.f64 (*.f64 a x) a) (neg.f64 a)) (/.f64 x x))
(.f64 (/.f64 (.f64 (*.f64 a x) a) (neg.f64 x)) (/.f64 (neg.f64 x) a))
(.f64 (/.f64 (.f64 (*.f64 a x) a) (neg.f64 x)) (/.f64 x a))
(.f64 (/.f64 (.f64 (*.f64 a x) a) a) (/.f64 (neg.f64 x) (neg.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 a x) a) a) (/.f64 x (neg.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x (neg.f64 a)))
(.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x a))
(.f64 (/.f64 (.f64 (*.f64 a x) x) (neg.f64 a)) (/.f64 a x))
(.f64 (/.f64 (.f64 (*.f64 a x) x) (neg.f64 x)) (/.f64 a a))
(.f64 (/.f64 (.f64 (*.f64 a x) x) a) (/.f64 a (neg.f64 x)))
(.f64 (/.f64 (.f64 (*.f64 a x) x) x) (/.f64 a (neg.f64 a)))
(.f64 (/.f64 (fabs.f64 (.f64 a x)) (neg.f64 x)) (/.f64 (fabs.f64 (*.f64 a x)) a))
(.f64 (/.f64 (fabs.f64 (.f64 a x)) a) (/.f64 (fabs.f64 (*.f64 a x)) (neg.f64 x)))
(.f64 (/.f64 (fabs.f64 (.f64 a x)) (neg.f64 a)) (/.f64 (fabs.f64 (*.f64 a x)) x))
(.f64 (/.f64 (fabs.f64 (.f64 a x)) x) (/.f64 (fabs.f64 (*.f64 a x)) (neg.f64 a)))
(.f64 (/.f64 (.f64 x x) x) (/.f64 (*.f64 a a) (neg.f64 a)))
(.f64 (/.f64 (.f64 a a) (neg.f64 a)) (/.f64 (*.f64 x x) x))
(.f64 (/.f64 (.f64 x x) a) (/.f64 (*.f64 a a) (neg.f64 x)))
(.f64 (/.f64 (.f64 a a) (neg.f64 x)) (/.f64 (*.f64 x x) a))
(.f64 (/.f64 (.f64 x x) (neg.f64 x)) (/.f64 (*.f64 a a) a))
(.f64 (/.f64 (.f64 a a) a) (/.f64 (*.f64 x x) (neg.f64 x)))
(.f64 (/.f64 (.f64 x x) (neg.f64 a)) (/.f64 (*.f64 a a) x))
(.f64 (/.f64 (.f64 a a) x) (/.f64 (*.f64 x x) (neg.f64 a)))
(.f64 (/.f64 (.f64 a x) (neg.f64 x)) (/.f64 (*.f64 a x) a))
(.f64 (/.f64 (.f64 a x) a) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) a) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (neg.f64 x) (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) a) (/.f64 (*.f64 a x) (neg.f64 x)))
(.f64 (/.f64 (.f64 a x) (neg.f64 a)) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 x (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) (neg.f64 a)) (/.f64 (*.f64 a x) x))
(.f64 (/.f64 (.f64 a x) x) (/.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 a (*.f64 a x))))
(.f64 (/.f64 (.f64 a x) x) (/.f64 (*.f64 a x) (neg.f64 a)))
(.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x))
(.f64 (/.f64 (neg.f64 a) (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a))
(.f64 (/.f64 (neg.f64 a) a) (/.f64 (.f64 x (*.f64 a x)) (neg.f64 x)))
(.f64 (/.f64 (neg.f64 a) x) (/.f64 (.f64 x (*.f64 a x)) (neg.f64 a)))
(.f64 (/.f64 a (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x))
(.f64 (/.f64 a (neg.f64 a)) (/.f64 (.f64 (neg.f64 x) (*.f64 a x)) x))
(.f64 (/.f64 a (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a))
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(fma.f64 (/.f64 a (neg.f64 x)) (/.f64 (.f64 x (.f64 a x)) a) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a (neg.f64 x)) (/.f64 (.f64 x (.f64 a x)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 a (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) a) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a (neg.f64 x)) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 a a) (/.f64 (.f64 x (.f64 a x)) (neg.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a a) (/.f64 (.f64 x (.f64 a x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 a a) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) (neg.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a a) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 a x) (/.f64 (.f64 x (.f64 a x)) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a x) (/.f64 (.f64 x (.f64 a x)) (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 a x) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 a x) (/.f64 (.f64 (neg.f64 x) (.f64 a x)) (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 a (.f64 a x)) a) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (.f64 a (.f64 a x)) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) (/.f64 (.f64 a (.f64 a x)) (neg.f64 a)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 x x) (/.f64 (.f64 a (.f64 a x)) (neg.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (neg.f64 a)) (/.f64 (.f64 a (.f64 a x)) x) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 x (neg.f64 a)) (/.f64 (.f64 a (.f64 a x)) x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 a)) x (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (neg.f64 (neg.f64 a)) x #s(literal 0 binary64))
(fma.f64 (fabs.f64 (.f64 a x)) (/.f64 (.f64 a x) (fabs.f64 (.f64 a x))) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 (fabs.f64 (.f64 a x)) (/.f64 (.f64 a x) (fabs.f64 (*.f64 a x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 a x) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 #s(literal -1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (/.f64 x a) (/.f64 (.f64 a (.f64 a x)) (neg.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (/.f64 x a) (/.f64 (.f64 a (.f64 a x)) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 a) (neg.f64 x) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (neg.f64 a) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 a) x (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (neg.f64 a) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) a (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 (neg.f64 x) a #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (.f64 a x) (/.f64 (.f64 a x) (.f64 a x)) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 (.f64 a x) (/.f64 (.f64 a x) (*.f64 a x)) #s(literal 0 binary64))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a (neg.f64 (neg.f64 x)) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 a (neg.f64 (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 a (neg.f64 x) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 a (neg.f64 x) #s(literal 0 binary64))
(fma.f64 a x (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 (neg.f64 a))) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 x (log.f64 (exp.f64 (neg.f64 a))) #s(literal 0 binary64))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (neg.f64 a) (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 x (neg.f64 a) #s(literal 0 binary64))
(fma.f64 x a (/.f64 #s(literal 0 binary64) (*.f64 a x)))
(fma.f64 x a #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 a x)) (.f64 a x))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x))
(-.f64 #s(literal 0 binary64) (*.f64 a x))
(-.f64 (.f64 a x) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (.f64 a x)) (.f64 a x))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 a x))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (.f64 a x) (/.f64 #s(literal 0 binary64) (.f64 a x)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval262.0ms (4.8%)

Memory: 7.3MiB live, 325.7MiB allocated; 75ms collecting garbage
Compiler: Compiled 46 773 to 6 445 computations (86.2% saved)

prune39.0ms (0.7%)

Memory

-1.3MiB live, 90.6MiB allocated; 5ms collecting garbage

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	1 722	9	1 731
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	1 724	19	1 743

Accuracy

100.0%

Counts

1 743 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	3.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
	4.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
▶	17.9%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
▶	19.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
✓	19.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	49.8%	(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	66.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	65.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
	36.6%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x a)))
	41.9%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a)))
	57.2%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x)))
✓	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	18.9%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
✓	70.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 600 to 421 computations (29.8% saved)

simplify136.0ms (2.5%)

Memory

18.0MiB live, 118.3MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
cost-diff	0	(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
cost-diff	0	(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
cost-diff	0	#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
cost-diff	0	(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
cost-diff	0	(*.f64 a x)
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	427
0	70	427
1	117	427
2	251	427
3	725	427
4	2662	427
5	6596	427
0	8070	417

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
(neg.f64 x)
x
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
(neg.f64 x)
x
#s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
(fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(*.f64 a x)
a
x
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) (*.f64 a x)))
(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) (*.f64 a x))
(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)) (neg.f64 x)))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)) (neg.f64 x))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))
#s(approx (+ (* x a) 1) (*.f64 #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)) (neg.f64 x)))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
(*.f64 #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
a
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) (*.f64 a x) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) (*.f64 a x) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) (*.f64 a x) a) x #s(literal 1 binary64))
(fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) (*.f64 a x) a)
(*.f64 a x)
a
x
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a)
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)

localize88.0ms (1.6%)

Memory

3.3MiB live, 93.9MiB allocated; 7ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	0.28114280411774584	(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
accuracy	18.670889953443456	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.015625	(-.f64 (/.f64 #s(literal -1 binary64) x) a)
accuracy	0.10546875	(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
accuracy	18.886201174227264	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
accuracy	0.10546875	(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
accuracy	18.886201174227264	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
accuracy	19.343403358757897	#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy	32.08190781276613	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
accuracy	0.05859375	(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
accuracy	1.1890700445632025	(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
accuracy	19.053316045292497	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
accuracy	44.36491025944096	#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	0.00390625	(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
accuracy	0.09212875976844201	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
accuracy	19.053316045292497	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))

Samples

64.0ms

256×

valid

Compiler

Compiled 227 to 35 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 19.0ms (42.2% of total)

ival-add: 6.0ms (13.3% of total)

ival-neg: 5.0ms (11.1% of total)

ival-div: 4.0ms (8.9% of total)

ival-expm1: 3.0ms (6.7% of total)

const: 3.0ms (6.7% of total)

ival-exp: 2.0ms (4.4% of total)

ival-sub: 2.0ms (4.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-30.4MiB live, 20.6MiB allocated; 10ms collecting garbage

Counts

23 → 71

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
(fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
a
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(/ -1 x)
(- (* -1 a) (/ 1 x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* -1 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(/ (- (* -1 (* a x)) 1) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ a (/ 1 x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* -1 (+ a (/ 1 x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) x) 1) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) (- (neg a) (/ 1 x)) (- (/ -1 x) a) (+ (* 1/6 (* a x)) 1/2))
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) x) 1) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) (- (neg a) (/ 1 x)) (- (/ -1 x) a) (+ (* 1/6 (* a x)) 1/2))
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) x) 1) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) (- (neg a) (/ 1 x)) (- (/ -1 x) a) (+ (* 1/6 (* a x)) 1/2))
1.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) x) 1) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) (- (neg a) (/ 1 x)) (- (/ -1 x) a) (+ (* 1/6 (* a x)) 1/2))
1.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* 1/2 (* a x)) 1) (* a x)) (+ (* 1/2 (* a x)) 1) (* a x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) x) 1) (+ (* (* a x) (* (+ (* 1/6 (* a x)) 1/2) a)) a) (- (neg a) (/ 1 x)) (- (/ -1 x) a) (+ (* 1/6 (* a x)) 1/2))

simplify168.0ms (3.1%)

Memory

23.2MiB live, 153.2MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	234	898
1	857	878
2	3384	834
0	8325	758

Stop Event

1×	iter limit
1×	node limit

Counts

71 → 70

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
1
(+ 1 (* 1/2 (* a x)))
a
(* a (+ 1 (* 1/2 (* a x))))
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(/ -1 x)
(- (* -1 a) (/ 1 x))
1/2
(+ 1/2 (* 1/6 (* a x)))
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* a (+ x (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 2)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(* -1 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(/ (- (* -1 (* a x)) 1) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ a (/ 1 x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* -1 (+ a (/ 1 x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(* a (+ 1 (* a (+ (* 1/6 (* a (pow x 2))) (* 1/2 x)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -1 a) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)
(* 1/2 (* a x))
(.f64 (.f64 a x) #s(literal 1/2 binary64))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* 1/2 (* (pow a 2) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) x) (*.f64 a a))) (pow.f64 a #s(literal 3 binary64)))
(* 1/6 (* (pow a 3) (pow x 2)))
(.f64 (.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) x)
(* (pow a 3) (+ (* 1/6 (pow x 2)) (* 1/2 (/ x a))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* (pow a 3) (+ (* 1/6 (pow x 2)) (+ (* 1/2 (/ x a)) (/ 1 (pow a 2)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 a)
(neg.f64 a)
(* -1 (* a (+ 1 (/ 1 (* a x)))))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* 1/6 (* a x))
(.f64 #s(literal 1/6 binary64) (.f64 a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(.f64 (neg.f64 a) (-.f64 (.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)) a) a) (.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1/2 binary64) a)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2)))))
(.f64 (.f64 x (fma.f64 #s(literal 1/6 binary64) x (/.f64 #s(literal 1/2 binary64) a))) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 a)) a)) (* -1/6 (pow x 2)))))
(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal 1 binary64) a)) a)) (pow.f64 a #s(literal 3 binary64)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64)))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ a (* 1/2 (* (pow a 2) x)))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))
(.f64 (fma.f64 (.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a #s(literal 1 binary64)) a)
(/ (- (* -1 (* a x)) 1) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(.f64 (fma.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) a) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 (.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (.f64 x x))
(* (pow x 2) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x)
(* -1 (+ a (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) a (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) a))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 (*.f64 a a) (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) a) x) x) (.f64 (*.f64 a a) (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ a x)) (* -1/2 (pow a 2))) x)) (* 1/6 (pow a 3))))
(.f64 (.f64 (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) x) x)
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) a #s(literal -1/2 binary64)))

rewrite271.0ms (5%)

Memory

-6.9MiB live, 194.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	367
0	70	367
1	250	367
2	1652	367
0	8952	357

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 291

Calls

Call 1

Inputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x))
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
(*.f64 a x)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
(.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x)
(.f64 #s(approx (+ ( 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a)
#s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))
(*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))
(fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
#s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) a)
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a))
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 (.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 a x))
(.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 x (.f64 (fma.f64 (*.f64 a x) #s(literal 1/2 binary64) #s(literal 1 binary64)) a))
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(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) a)) x))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 a x)))
(-.f64 #s(literal 1/2 binary64) (.f64 (neg.f64 (.f64 a x)) #s(literal 1/6 binary64)))
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))

eval81.0ms (1.5%)

Memory: -2.2MiB live, 97.2MiB allocated; 15ms collecting garbage
Compiler: Compiled 19 617 to 1 926 computations (90.2% saved)

prune20.0ms (0.4%)

Memory

-0.6MiB live, 44.0MiB allocated; 4ms collecting garbage

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	6	6
Picked	0	5	5
Done	0	8	8
Total	392	19	411

Accuracy

100.0%

Counts

411 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	3.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
	4.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	17.9%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
✓	19.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
✓	19.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	49.8%	(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	66.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	65.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
	36.6%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x a)))
	41.9%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a)))
	57.2%	#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x)))
✓	70.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	18.9%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
✓	70.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 859 to 402 computations (53.2% saved)

regimes35.0ms (0.6%)

Memory

16.5MiB live, 62.0MiB allocated; 3ms collecting garbage

Counts

27 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x)))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a)))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x))))))
(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))

Outputs
(expm1.f64 (*.f64 x a))

Calls

5 calls:

9.0ms	a
7.0ms	x
6.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 a x)`
99.9%	1	`(exp.f64 (*.f64 a x))`
99.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
99.9%	1	`a`
99.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes31.0ms (0.6%)

Memory

-8.2MiB live, 46.1MiB allocated; 6ms collecting garbage

Counts

23 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 #s(approx (+ (* 1/2 (* a x)) 1) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) #s(approx (- (neg a) (/ 1 x)) (-.f64 (/.f64 #s(literal -1 binary64) x) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (.f64 (*.f64 a x) a) x) (/.f64 x a)))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 a)) (/.f64 (.f64 x (*.f64 a x)) x)))
#s(approx (- (exp (* x a)) 1) (.f64 (/.f64 (neg.f64 a) (neg.f64 x)) (/.f64 (.f64 x (*.f64 a x)) a)))

Outputs
#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Calls

5 calls:

9.0ms	x
6.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
70.8%	1	`(*.f64 a x)`
70.8%	1	`(exp.f64 (*.f64 a x))`
70.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.8%	1	`a`
70.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory

-32.7MiB live, 13.0MiB allocated; 3ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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))

Calls

5 calls:

1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	x
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
19.2%	1	`a`
19.2%	1	`x`
19.2%	1	`(exp.f64 (*.f64 a x))`
19.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.2%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify44.0ms (0.8%)

Memory

16.2MiB live, 60.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	21	22
2	40	22
3	83	22
4	253	22
5	1975	22
6	5094	22

Stop Event

1×	node limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations316.0ms (5.8%)

Memory

4.0MiB live, 230.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 22 to 12 computations (45.5% saved)

preprocess78.0ms (1.4%)

Memory: 30.0MiB live, 85.2MiB allocated; 23ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 72 to 52 computations (27.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze64.0ms (1.2%)

sample715.0ms (13.2%)

explain196.0ms (3.6%)

preprocess263.0ms (4.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify110.0ms (2%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

simplify339.0ms (6.2%)

rewrite621.0ms (11.4%)

eval69.0ms (1.3%)

prune13.0ms (0.2%)

simplify180.0ms (3.3%)

localize98.0ms (1.8%)

series13.0ms (0.2%)

simplify164.0ms (3%)

rewrite190.0ms (3.5%)

eval104.0ms (1.9%)

prune13.0ms (0.2%)

simplify103.0ms (1.9%)

localize104.0ms (1.9%)

series18.0ms (0.3%)

simplify160.0ms (2.9%)

rewrite267.0ms (4.9%)

eval262.0ms (4.8%)

prune39.0ms (0.7%)

simplify136.0ms (2.5%)

localize88.0ms (1.6%)

series30.0ms (0.5%)

simplify168.0ms (3.1%)

rewrite271.0ms (5%)

eval81.0ms (1.5%)

prune20.0ms (0.4%)

regimes35.0ms (0.6%)

regimes31.0ms (0.6%)

regimes7.0ms (0.1%)

simplify44.0ms (0.8%)

derivations316.0ms (5.8%)

preprocess78.0ms (1.4%)

end0.0ms (0%)

Profiling