Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze38.0ms (0.7%)

Memory

-23.0MiB live, 16.3MiB allocated

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)

sample875.0ms (15.8%)

Memory

44.4MiB live, 661.0MiB allocated

Samples

629.0ms	8 256×	0	valid
22.0ms	322×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 74.0ms (41.1% of total)

ival-expm1: 57.0ms (31.6% of total)

ival->: 39.0ms (21.6% of total)

exact: 7.0ms (3.9% of total)

ival-assert: 4.0ms (2.2% of total)

Bogosity

explain78.0ms (1.4%)

Memory

-29.5MiB live, 92.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	-	-	`a`
0	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 a x)`
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	135	0

Confusion

	Predicted +	Predicted -
+	135	0
-	0	121

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	135	0	0
-	0	1	120

Precision?

0.9926470588235294

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

30.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 4.0ms (33.9% of total)

ival-mult: 4.0ms (33.9% of total)

ival-expm1: 3.0ms (25.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess144.0ms (2.6%)

Memory

7.8MiB live, 165.8MiB allocated

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
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify145.0ms (2.6%)

Memory

15.6MiB live, 120.2MiB allocated

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)

localize60.0ms (1.1%)

Memory

-31.2MiB live, 31.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.015261291389095776	(exp.f64 (*.f64 a x))
accuracy	30.663798185961806	(-.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 (33.1% of total)

ival-mult: 2.0ms (33.1% of total)

ival-expm1: 2.0ms (33.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.7MiB live, 3.7MiB allocated

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))
1.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
1.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify250.0ms (4.5%)

Memory

25.2MiB live, 250.9MiB allocated

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))

rewrite192.0ms (3.5%)

Memory

27.8MiB live, 219.0MiB allocated

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))))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (expm1.f64 (.f64 x a)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.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))

eval163.0ms (2.9%)

Memory: -29.5MiB live, 60.2MiB allocated
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune67.0ms (1.2%)

Memory

-18.2MiB live, 21.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	387	8	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	388	8	396

Accuracy

100.0%

Counts

396 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	22.3%	(-.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))
▶	23.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
▶	60.9%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
	66.6%	#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))
	63.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	70.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 242 to 176 computations (27.3% saved)

simplify250.0ms (4.5%)

Memory

27.6MiB live, 109.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(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)))
cost-diff	0	(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)
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
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	34	251
0	59	249
1	108	249
2	277	249
3	926	249
4	3232	249
5	6966	249
0	8074	249

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

localize160.0ms (2.9%)

Memory

4.5MiB live, 79.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	3.342777549340745	(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)))
accuracy	6.541604904785185	(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)
accuracy	11.492166858302063	(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)))
accuracy	19.095379926579547	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.05078125	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	18.85611231280751	#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	30.663798185961806	(-.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	18.959792747662963	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	30.663798185961806	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	19.307340250113555	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.663798185961806	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.0078125	(expm1.f64 (*.f64 x a))

Samples

140.0ms

256×

valid

Compiler

Compiled 205 to 34 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-add: 62.0ms (50.3% of total)

const: 27.0ms (21.9% of total)

ival-mult: 19.0ms (15.4% of total)

ival-pow: 9.0ms (7.3% of total)

ival-expm1: 3.0ms (2.4% of total)

ival-exp: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.6%)

Memory

-21.6MiB live, 16.2MiB allocated

Counts

17 → 82

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

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

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	x	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) (* 1/2 a) (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)))
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) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) (* 1/2 a) (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)))
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) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) (* 1/2 a) (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)))
3.0ms	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) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) (* 1/2 a) (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)))
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) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) (* 1/2 a) (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)))

simplify174.0ms (3.1%)

Memory

6.8MiB live, 119.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1347
1	1089	1319
2	4120	1289
0	8310	1175

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 81

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

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

rewrite228.0ms (4.1%)

Memory

6.1MiB live, 247.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	207
0	59	205
1	241	205
2	1696	205
0	8871	205

Stop Event

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

Counts

17 → 377

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

Outputs
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (/.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (.f64 (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (exp.f64 a) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
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(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))
(-.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))
(-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))
(-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 (neg.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/24 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 (neg.f64 (pow.f64 a #s(literal 4 binary64))) (*.f64 #s(literal 1/24 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 9 binary64))) (fma.f64 #s(literal 1/576 binary64) (pow.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (.f64 (.f64 (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 1/6 binary64)) (pow.f64 a #s(literal 3 binary64)))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)))) (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 a #s(literal 6 binary64))) (fma.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1/6 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 a #s(literal 4 binary64)) x)))

eval73.0ms (1.3%)

Memory: -9.6MiB live, 147.1MiB allocated
Compiler: Compiled 23 769 to 2 310 computations (90.3% saved)

prune32.0ms (0.6%)

Memory

31.9MiB live, 70.4MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	449	8	457
Fresh	3	0	3
Picked	1	4	5
Done	0	0	0
Total	453	12	465

Accuracy

100.0%

Counts

465 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	22.3%	(-.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))
✓	23.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.3%	(-.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))
	3.3%	(-.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))
	19.4%	(-.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(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
✓	21.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	64.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) a) x a) x))
▶	63.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	70.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	66.7%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))

Compiler

Compiled 453 to 321 computations (29.1% saved)

simplify202.0ms (3.6%)

Memory

-10.8MiB live, 181.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))
cost-diff	2	(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (*.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a)
cost-diff	0	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x a)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) a) x a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) a) x a) x))
cost-diff	0	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 a a) x)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 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	57	412
0	85	410
1	166	410
2	449	397
3	1535	397
4	3863	397
5	7587	397
0	8625	380

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

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

localize134.0ms (2.4%)

Memory

26.0MiB live, 186.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.756393076148694	(fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
accuracy	7.675447618732271	(.f64 (.f64 x x) a)
accuracy	19.095379926579547	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))
accuracy	19.18561988443773	#s(approx (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 x x) a) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a))
accuracy	0.1171875	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	0.9810669980863431	(.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) a) x a) x)
accuracy	6.147501280184512	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64)) a) a) x a)
accuracy	18.440628021786733	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) a) x a) x))
accuracy	0.0078125	(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))
accuracy	0.140625	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
accuracy	18.959792747662963	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
accuracy	30.663798185961806	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.01171875	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.7446029906288618	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	8.032523705533178	(.f64 (.f64 a a) x)
accuracy	19.19021912396397	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	18.841975410370434	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

107.0ms

256×

valid

Compiler

Compiled 279 to 53 computations (81% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 43.0ms (49.1% of total)

ival-add: 10.0ms (11.4% of total)

const: 10.0ms (11.4% of total)

ival-pow: 9.0ms (10.3% of total)

ival-sub: 6.0ms (6.9% of total)

ival-expm1: 3.0ms (3.4% of total)

ival-div: 2.0ms (2.3% of total)

ival-exp: 2.0ms (2.3% of total)

ival-neg: 2.0ms (2.3% of total)

exact: 1.0ms (1.1% of total)

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

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

series26.0ms (0.5%)

Memory

-33.0MiB live, 50.5MiB allocated

Counts

22 → 113

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) x) (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) (* (* (+ (* 1/6 (* a x)) 1/2) a) a) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (* x x) a) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1))
5.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) x) (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) (* (* (+ (* 1/6 (* a x)) 1/2) a) a) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (* x x) a) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1))
5.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) x) (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) (* (* (+ (* 1/6 (* a x)) 1/2) a) a) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (* x x) a) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1))
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) x) (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) (* (* (+ (* 1/6 (* a x)) 1/2) a) a) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (* x x) a) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1))
3.0ms	x	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* x a)) 1) (* (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) x) (+ (* (* (* (+ (* 1/6 (* a x)) 1/2) a) a) x) a) (* (* (+ (* 1/6 (* a x)) 1/2) a) a) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (- (neg x) (/ 1 a)) (+ (* 1/6 (* a x)) 1/2) (* (* x x) a) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1))

simplify139.0ms (2.5%)

Memory

2.9MiB live, 114.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	333	1696
1	1289	1640
2	5208	1610
0	8348	1469

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

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

rewrite184.0ms (3.3%)

Memory

5.5MiB live, 161.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	353
0	85	353
1	333	353
2	2295	353
0	8449	333

Stop Event

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

Counts

22 → 321

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (fabs.f64 (.f64 x #s(literal 1 binary64))))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (fabs.f64 (.f64 a #s(literal 1 binary64))))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (fabs.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (fabs.f64 (*.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(fabs.f64 (neg.f64 (*.f64 a x)))
(fabs.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (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 (-.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 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 a x)) #s(literal 1/2 binary64))))
(/.f64 (fma.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 (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)))) #s(literal 1/8 binary64))) (.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)))) (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 1/4 binary64) (.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 (neg.f64 (-.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.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 (neg.f64 (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 (-.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 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #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 (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)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) x)) a #s(literal 1/2 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/6 binary64) a)) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 a (fabs.f64 (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (fabs.f64 (*.f64 #s(literal 1/6 binary64) a)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) a) #s(literal 1/2 binary64))
(-.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 (.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)))
(.f64 (.f64 a (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x x) a)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) a))
(.f64 (.f64 a x) x)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)) #s(literal 1 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)))
(fma.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) (.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))
(fma.f64 a (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))) (pow.f64 (-.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x))) a))
(-.f64 #s(literal 1 binary64) (.f64 (neg.f64 a) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x))))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a)) #s(literal -1 binary64)))
(+.f64 (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/6 binary64) (.f64 #s(literal 1/2 binary64) x)) a))

eval69.0ms (1.2%)

Memory: 3.5MiB live, 83.4MiB allocated
Compiler: Compiled 16 520 to 2 142 computations (87% saved)

prune13.0ms (0.2%)

Memory

28.3MiB live, 28.3MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	421	3	424
Fresh	0	3	3
Picked	3	2	5
Done	1	3	4
Total	425	11	436

Accuracy

100.0%

Counts

436 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.3%	(-.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))
▶	3.3%	(-.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))
▶	19.4%	(-.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(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
▶	17.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	21.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	71.1%	#s(approx (- (exp (* x a)) 1) (.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))
✓	70.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	70.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))

Compiler

Compiled 431 to 301 computations (30.2% saved)

simplify188.0ms (3.4%)

Memory

-2.6MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
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	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#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)))
cost-diff	0	(-.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))
cost-diff	0	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)
cost-diff	0	#s(approx (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a))
cost-diff	0	(.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a)
cost-diff	0	(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) (*.f64 a x) a)
cost-diff	0	(.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)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.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))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	571
0	101	571
1	194	571
2	501	550
3	1647	550
4	4470	550
0	8637	528

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (3.1%)

Memory

9.2MiB live, 168.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.015625	(-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))
accuracy	0.14453125	(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
accuracy	18.959792747662963	#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	30.663798185961806	(-.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	8.032523705533178	(.f64 (.f64 a a) x)
accuracy	18.85611231280751	#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)))
accuracy	30.663798185961806	(-.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))
accuracy	43.66062902860336	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.140625	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
accuracy	18.959792747662963	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
accuracy	19.561941979811063	#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
accuracy	30.663798185961806	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.756393076148694	(fma.f64 #s(approx (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
accuracy	19.095379926579547	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))
accuracy	19.18561988443773	#s(approx (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a))
accuracy	19.688055482154386	#s(approx (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x))
accuracy	0.0546875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a)
accuracy	0.1171875	(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
accuracy	0.9810669980863431	(.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)
accuracy	18.440628021786733	#s(approx (- (exp (* x a)) 1) (.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))

Samples

140.0ms

256×

valid

Compiler

Compiled 300 to 61 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 72.0ms (60.8% of total)

ival-pow: 13.0ms (11% of total)

ival-add: 11.0ms (9.3% of total)

ival-div: 6.0ms (5.1% of total)

const: 6.0ms (5.1% of total)

ival-expm1: 3.0ms (2.5% of total)

ival-exp: 2.0ms (1.7% of total)

ival-sub: 2.0ms (1.7% of total)

ival-neg: 2.0ms (1.7% of total)

exact: 1.0ms (0.8% of total)

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

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

series22.0ms (0.4%)

Memory

2.8MiB live, 38.1MiB allocated

Counts

26 → 117

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) x) (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) (* (+ (* 1/6 (* a x)) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (* (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* 1/6 (* a x)) 1/2) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) (- (neg x) (/ 1 a)) (* (* a a) x) (- (neg a) (/ 1 x)))
3.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) x) (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) (* (+ (* 1/6 (* a x)) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (* (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* 1/6 (* a x)) 1/2) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) (- (neg x) (/ 1 a)) (* (* a a) x) (- (neg a) (/ 1 x)))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) x) (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) (* (+ (* 1/6 (* a x)) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (* (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* 1/6 (* a x)) 1/2) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) (- (neg x) (/ 1 a)) (* (* a a) x) (- (neg a) (/ 1 x)))
3.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) x) (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) (* (+ (* 1/6 (* a x)) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (* (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* 1/6 (* a x)) 1/2) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) (- (neg x) (/ 1 a)) (* (* a a) x) (- (neg a) (/ 1 x)))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) x) (+ (* (* (+ (* 1/6 (* a x)) 1/2) a) (* a x)) a) (* (+ (* 1/6 (* a x)) 1/2) a) (- (exp (* a x)) 1) (* (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) x) (+ (* (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (* (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* 1/6 (* a x)) 1/2) (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) (+ (* (+ (* 1/6 (* (* x x) a)) (* 1/2 x)) a) 1) (- (neg x) (/ 1 a)) (* (* a a) x) (- (neg a) (/ 1 x)))

simplify212.0ms (3.8%)

Memory

11.1MiB live, 206.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	349	1713
1	1346	1659
2	5375	1619
0	8477	1479

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 116

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

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

rewrite216.0ms (3.9%)

Memory

-3.2MiB live, 233.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	525
0	101	525
1	405	517
2	2802	517
0	8348	486

Stop Event

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

Counts

26 → 256

Calls

Call 1

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

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

eval44.0ms (0.8%)

Memory: -0.3MiB live, 73.4MiB allocated
Compiler: Compiled 15 858 to 1 647 computations (89.6% saved)

prune17.0ms (0.3%)

Memory

-14.8MiB live, 30.0MiB allocated

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	332	4	336
Fresh	1	0	1
Picked	1	4	5
Done	0	5	5
Total	334	13	347

Accuracy

100.0%

Counts

347 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.4%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.1%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	3.3%	(-.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))
	19.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) x) a)))) #s(literal 1 binary64))
	17.7%	(-.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))
✓	19.2%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
✓	17.6%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	21.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	71.1%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x) a) x (*.f64 a x)))
✓	71.1%	#s(approx (- (exp (* x a)) 1) (.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))
✓	70.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
✓	70.0%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (+ (* (+ (* (* (pow a 4) x) 1/24) (* (pow a 3) 1/6)) x) (* (* a a) 1/2)) x) a) (.f64 (fma.f64 #s(approx (+ ( 1/6 (* (* x x) a)) (* 1/2 x)) (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64)) a)) x))

Compiler

Compiled 832 to 371 computations (55.4% saved)

regimes36.0ms (0.6%)

Memory

7.7MiB live, 45.8MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`x`
100.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
100.0%	1	`(exp.f64 (*.f64 a x))`
100.0%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes32.0ms (0.6%)

Memory

-0.0MiB live, 38.3MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.1%	1	`a`
71.1%	1	`x`
71.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
71.1%	1	`(exp.f64 (*.f64 a x))`
71.1%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes25.0ms (0.5%)

Memory

-8.1MiB live, 30.2MiB allocated

Counts

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
70.6%	1	`x`
70.6%	1	`(exp.f64 (*.f64 a x))`
70.6%	1	`(*.f64 a x)`
70.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
70.6%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes6.0ms (0.1%)

Memory

11.1MiB live, 11.1MiB allocated

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

Results

Accuracy	Segments	Branch
21.3%	1	`x`
21.3%	1	`a`
21.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
21.3%	1	`(exp.f64 (*.f64 a x))`
21.3%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify62.0ms (1.1%)

Memory

-8.9MiB live, 40.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	44
1	38	44
2	58	44
3	104	44
4	290	44
5	2120	44
6	5431	44

Stop Event

1×	node limit

Calls

Call 1

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

soundness712.0ms (12.9%)

Memory

8.0MiB live, 427.3MiB allocated

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
0	57	353
0	85	353
1	333	353
2	2295	353
0	8449	333
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	292	1347
1	1089	1319
2	4120	1289
0	8310	1175

Stop Event

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

Compiler

Compiled 100 to 64 computations (36% saved)

preprocess57.0ms (1%)

Memory: 5.1MiB live, 84.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 124 to 80 computations (35.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze38.0ms (0.7%)

sample875.0ms (15.8%)

explain78.0ms (1.4%)

preprocess144.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify145.0ms (2.6%)

localize60.0ms (1.1%)

series4.0ms (0.1%)

simplify250.0ms (4.5%)

rewrite192.0ms (3.5%)

eval163.0ms (2.9%)

prune67.0ms (1.2%)

simplify250.0ms (4.5%)

localize160.0ms (2.9%)

series31.0ms (0.6%)

simplify174.0ms (3.1%)

rewrite228.0ms (4.1%)

eval73.0ms (1.3%)

prune32.0ms (0.6%)

simplify202.0ms (3.6%)

localize134.0ms (2.4%)

series26.0ms (0.5%)

simplify139.0ms (2.5%)

rewrite184.0ms (3.3%)

eval69.0ms (1.2%)

prune13.0ms (0.2%)

simplify188.0ms (3.4%)

localize174.0ms (3.1%)

series22.0ms (0.4%)

simplify212.0ms (3.8%)

rewrite216.0ms (3.9%)

eval44.0ms (0.8%)

prune17.0ms (0.3%)

regimes36.0ms (0.6%)

regimes32.0ms (0.6%)

regimes25.0ms (0.5%)

regimes6.0ms (0.1%)

simplify62.0ms (1.1%)

soundness712.0ms (12.9%)

preprocess57.0ms (1%)

end0.0ms (0%)

Profiling