Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze25.0ms (0.4%)

Memory

-9.6MiB live, 34.4MiB 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)

sample973.0ms (15.6%)

Memory

13.8MiB live, 703.6MiB allocated

Samples

720.0ms	8 256×	0	valid
12.0ms	301×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-expm1: 160.0ms (59.6% of total)

ival-mult: 74.0ms (27.6% of total)

ival->: 21.0ms (7.8% of total)

exact: 7.0ms (2.6% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain75.0ms (1.2%)

Memory

28.7MiB live, 75.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
119	2	(1.7857015568348618e-94 -1.2064837739280962e-229)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	0	-	-	`(exp.f64 (*.f64 a x))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 a x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	121	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	119	0
-	3	134

Precision

0.9754098360655737

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	3	0	134

Precision?

0.9754098360655737

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 4.0ms (34.8% of total)

ival-mult: 4.0ms (34.8% of total)

ival-expm1: 3.0ms (26.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess197.0ms (3.2%)

Memory

-22.2MiB live, 122.6MiB 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

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify112.0ms (1.8%)

Memory

20.7MiB live, 121.3MiB 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)

localize19.0ms (0.3%)

Memory

-8.8MiB live, 36.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.035372197013676526	(exp.f64 (*.f64 a x))
accuracy	27.179579851539938	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

15.0ms

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 (36.1% of total)

ival-mult: 2.0ms (36.1% of total)

ival-expm1: 1.0ms (18.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify239.0ms (3.8%)

Memory

-5.2MiB live, 176.5MiB 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))

rewrite139.0ms (2.2%)

Memory

35.7MiB live, 126.1MiB 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))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) (.f64 (sinh.f64 (*.f64 x a)) (pow.f64 (exp.f64 x) a)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a)))
(fma.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))))
(-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 (neg.f64 x) a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))))
(+.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 a (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 a (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 1 binary64)))
(exp.f64 (*.f64 x a))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a)
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 x) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 a x #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval62.0ms (1%)

Memory: -28.5MiB live, 72.3MiB allocated
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune10.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

396 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
▶	57.5%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
▶	22.6%	(-.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))
▶	23.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	59.9%	#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))
	64.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	65.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 250 to 184 computations (26.4% saved)

simplify173.0ms (2.8%)

Memory

2.9MiB live, 143.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	143
0	39	143
1	67	143
2	134	143
3	351	143
4	1216	143
5	4379	143
6	7740	143
0	8315	143

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (3%)

Memory

-33.3MiB live, 199.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 #s(literal 2 binary64))
accuracy	0.013513404760301944	(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
accuracy	0.24466491232392748	(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
accuracy	27.179579851539938	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.078125	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	22.101910284897475	#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	27.179579851539938	(-.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	22.179029092963503	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	27.179579851539938	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	22.22655220531372	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	27.179579851539938	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.014872480164287516	(expm1.f64 (*.f64 x a))

Samples

123.0ms	95×	2	valid
29.0ms	69×	1	valid
15.0ms	92×	0	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 143.0ms

ival-pow: 73.0ms (51.1% of total)

adjust: 21.0ms (14.7% of total)

ival-exp: 18.0ms (12.6% of total)

ival-mult: 11.0ms (7.7% of total)

ival-add: 8.0ms (5.6% of total)

ival-expm1: 5.0ms (3.5% of total)

ival-sqrt: 4.0ms (2.8% of total)

ival-sub: 3.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

16 → 51

Calls

Call 1

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

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

Calls

6 calls:

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

simplify175.0ms (2.8%)

Memory

18.3MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	870
1	792	870
2	3000	770
0	8362	674

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

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

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 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
1
#s(literal 1 binary64)
(+ 1 (* 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 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a)
(* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 (.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64)))) a (fma.f64 x x #s(literal 0 binary64))) x) a)
(* a (+ x (* a (+ (* 1/2 (- (* 2 (pow x 2)) (pow x 2))) (* a (+ (* 1/2 (* a (- (* 2/3 (pow x 4)) (+ (* 1/4 (pow (- (* 2 (pow x 2)) (pow x 2)) 2)) (* x (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2))))))))) (* 1/2 (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) x (neg.f64 (.f64 #s(literal 4/3 binary64) (pow.f64 x #s(literal 3 binary64))))) x))) a (.f64 x (fma.f64 #s(literal 4/3 binary64) (.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64))))) a (fma.f64 x x #s(literal 0 binary64)))) a x) a)
(+ 1 (* a (+ x (* 1/2 (* a (- (* 2 (pow x 2)) (pow x 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/2 (* a (- (* 4/3 (pow x 3)) (* x (- (* 2 (pow x 2)) (pow x 2)))))) (* 1/2 (- (* 2 (pow x 2)) (pow x 2))))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) (fma.f64 (.f64 x (fma.f64 #s(literal 4/3 binary64) (*.f64 x x) (fma.f64 (neg.f64 x) x #s(literal 0 binary64)))) a (fma.f64 x x #s(literal 0 binary64))) x) a #s(literal 1 binary64))
(+ 1 (* 2 (* a x)))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) x a) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4/3 binary64) a) x #s(literal 2 binary64))) a (.f64 #s(literal 2 binary64) x)) a #s(literal 1 binary64))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* a (+ x (/ 1 a)))
(fma.f64 a x #s(literal 1 binary64))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (.f64 (fma.f64 (*.f64 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))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 #s(literal 1/2 binary64) (.f64 a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(- (sqrt (exp (* 2 (* a x)))) 1)
(expm1.f64 (*.f64 a x))
(sqrt (exp (* 2 (* a x))))
(pow.f64 (exp.f64 x) a)
(exp (* 2 (* a x)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) a))
(* -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)))
(* 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 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ 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 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 a a #s(literal 0 binary64)) x) #s(literal 1/2 binary64) a) x)
(* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2)))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (fma.f64 #s(literal 4/3 binary64) (.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x)
(* x (+ a (* x (+ (* 1/2 (- (* 2 (pow a 2)) (pow a 2))) (* x (+ (* 1/2 (* x (- (* 2/3 (pow a 4)) (+ (* 1/4 (pow (- (* 2 (pow a 2)) (pow a 2)) 2)) (* a (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2))))))))) (* 1/2 (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 2/3 binary64) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (fma.f64 a a #s(literal 0 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -4/3 binary64) (pow.f64 a #s(literal 3 binary64)) (.f64 (fma.f64 a a #s(literal 0 binary64)) a)) a))) x (.f64 a (fma.f64 #s(literal 4/3 binary64) (.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64))))) x (fma.f64 a a #s(literal 0 binary64)))) x a) x)
(+ 1 (* x (+ a (* 1/2 (* x (- (* 2 (pow a 2)) (pow a 2)))))))
(fma.f64 (fma.f64 (*.f64 (fma.f64 a a #s(literal 0 binary64)) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/2 (* x (- (* 4/3 (pow a 3)) (* a (- (* 2 (pow a 2)) (pow a 2)))))) (* 1/2 (- (* 2 (pow a 2)) (pow a 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (fma.f64 #s(literal 4/3 binary64) (*.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) x a) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 4/3 binary64)) x)) x (.f64 #s(literal 2 binary64) a)) x #s(literal 1 binary64))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x #s(literal 1 binary64))
(* x (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(.f64 (neg.f64 x) (-.f64 (.f64 #s(literal -1/2 binary64) a) (/.f64 #s(literal 1 binary64) x)))

rewrite136.0ms (2.2%)

Memory

-17.8MiB live, 118.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	123
0	39	118
1	165	118
2	1177	115
0	8465	115

Stop Event

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

Counts

16 → 435

Calls

Call 1

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

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

eval86.0ms (1.4%)

Memory: 11.9MiB live, 105.7MiB allocated
Compiler: Compiled 16 335 to 2 154 computations (86.8% saved)

prune16.0ms (0.3%)

Memory

-12.3MiB live, 34.5MiB allocated

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	536	10	546
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	541	14	555

Accuracy

100.0%

Counts

555 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.7%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	57.5%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
▶	22.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
	21.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	23.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.0%	(-.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))
▶	4.2%	(-.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))
	21.1%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	58.9%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
▶	59.9%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
▶	64.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	65.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 491 to 353 computations (28.1% saved)

simplify146.0ms (2.3%)

Memory

32.2MiB live, 127.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #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 (.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	40	309
0	63	306
1	123	306
2	376	306
3	1500	306
4	3960	306
0	8190	300

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

localize81.0ms (1.3%)

Memory

-2.9MiB live, 87.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.4434088404816083	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
accuracy	0.4849052925776216	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	6.492304129400814	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	21.650791841489703	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	0.03125	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x)
accuracy	1.1717000616974895	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))
accuracy	22.101910284897475	#s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64)))
accuracy	27.179579851539938	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	4.897757605502178	(.f64 (.f64 a a) x)
accuracy	22.101910284897475	#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	27.179579851539938	(-.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	40.585981313287064	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.7456129735392497	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	4.897757605502178	(.f64 (.f64 a a) x)
accuracy	22.44538473280433	#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	21.807269511527533	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

59.0ms

256×

valid

Compiler

Compiled 213 to 34 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 26.0ms (63.6% of total)

ival-add: 7.0ms (17.1% of total)

ival-expm1: 3.0ms (7.3% of total)

const: 3.0ms (7.3% of total)

ival-exp: 2.0ms (4.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

18 → 64

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	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)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
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)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
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)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
3.0ms	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)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))
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)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (* (+ (* (* 1/2 a) x) 1) x) a) 1) (* (+ (* (* 1/2 a) x) 1) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)))

simplify173.0ms (2.8%)

Memory

2.8MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	200	819
1	769	783
2	3172	761
0	8195	687

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 62

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

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

rewrite656.0ms (10.6%)

Memory

-63.8MiB live, 200.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	253
0	63	250
1	230	250
2	1509	250
0	8361	244

Stop Event

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

Counts

18 → 344

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

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
(*.f64 x a)
(fma.f64 a x #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))
(log.f64 (pow.f64 (exp.f64 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 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) x)
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (*.f64 a x)))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x))) (-.f64 (.f64 a x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x)) (.f64 (.f64 a x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (neg.f64 a))) x)) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))))))
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(+.f64 x (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(.f64 x (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 #s(literal -1/2 binary64) (.f64 x x)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (neg.f64 (*.f64 x x)) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 x x))) (neg.f64 (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (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 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (.f64 x x)) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (.f64 x x) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))
(/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (*.f64 #s(literal 1/6 binary64) a) x) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (neg.f64 x) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (.f64 (.f64 x x) (.f64 #s(literal 1/6 binary64) a)) x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) (.f64 a x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) (neg.f64 x)) (neg.f64 x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) x) x (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) x (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) a) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) (.f64 x x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) a) (pow.f64 x #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) a) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 x (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x (.f64 (.f64 #s(literal 1/6 binary64) a) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 a a)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))

eval50.0ms (0.8%)

Memory: 48.3MiB live, 90.8MiB allocated
Compiler: Compiled 19 607 to 1 828 computations (90.7% saved)

prune19.0ms (0.3%)

Memory

-30.3MiB live, 26.0MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	381	4	385
Fresh	2	4	6
Picked	3	2	5
Done	0	3	3
Total	386	13	399

Accuracy

100.0%

Counts

399 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.7%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	57.5%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	23.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.0%	(-.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))
✓	4.2%	(-.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))
▶	21.1%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	64.9%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
▶	44.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
▶	58.9%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
✓	65.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 433 to 306 computations (29.3% saved)

simplify110.0ms (1.8%)

Memory

18.5MiB live, 153.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(exp.f64 #s(literal 2 binary64))
cost-diff	0	(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
cost-diff	0	(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))
cost-diff	0	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
cost-diff	4	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))))
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	#s(approx (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(*.f64 a x)
cost-diff	0	(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	432
0	98	420
1	189	420
2	562	420
3	2886	420
0	8133	417

Stop Event

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

Calls

Call 1

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

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

localize626.0ms (10.1%)

Memory

-8.1MiB live, 604.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 #s(literal 2 binary64) (.f64 x a))
accuracy	0.06640625	(/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))
accuracy	4.114323007751953	(pow.f64 (exp.f64 x) a)
accuracy	22.127345016591217	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
accuracy	0.16796875	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))))
accuracy	0.16796875	(*.f64 #s(literal 1/6 binary64) a)
accuracy	1.9525312999077544	(.f64 a (.f64 x x))
accuracy	16.39642611863462	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
accuracy	0.0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))
accuracy	0.0546875	(*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x)))
accuracy	12.995562355892744	(-.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	16.66647094580554	#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	0.015625	(.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a)
accuracy	0.7793961460145644	(fma.f64 #s(approx (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x)
accuracy	15.994593668106239	#s(approx (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
accuracy	16.39642611863462	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
accuracy	0.015625	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
accuracy	0.04296875	(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
accuracy	0.16796875	(*.f64 #s(literal 1/6 binary64) a)
accuracy	16.39642611863462	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Samples

339.0ms	65×	2	valid
137.0ms	57×	5	exit
45.0ms	40×	1	valid
22.0ms	54×	0	valid
14.0ms	40×	0	invalid

Compiler

Compiled 350 to 50 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 497.0ms

ival-pow: 188.0ms (37.9% of total)

ival-expm1: 121.0ms (24.4% of total)

adjust: 86.0ms (17.3% of total)

ival-mult: 45.0ms (9.1% of total)

ival-exp: 21.0ms (4.2% of total)

ival-add: 14.0ms (2.8% of total)

ival-div: 11.0ms (2.2% of total)

const: 4.0ms (0.8% of total)

ival-sqrt: 3.0ms (0.6% of total)

ival-sub: 2.0ms (0.4% of total)

ival-neg: 2.0ms (0.4% of total)

exact: 1.0ms (0.2% of total)

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

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

series86.0ms (1.4%)

Memory

23.3MiB live, 110.6MiB allocated

Counts

26 → 93

Calls

Call 1

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

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))))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (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)))))))
(* a (- (+ (* 1/4 x) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x))))) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (+ (* 1/96 (pow x 4)) (* 1/2 (/ (+ (* 1/120 (pow x 5)) (+ (* 1/12 (pow x 5)) (+ (* 1/3 (pow x 5)) (* 4/3 (pow x 5))))) x)))))) (+ (* 1/15 (pow x 4)) (+ (* 1/3 (* (pow x 3) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))))))))) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(/ 1/2 (* a x))
(/ (+ (* 1/2 a) (* 1/2 (/ 1 x))) a)
(/ (+ (* a (+ 1/2 (* a (- x (+ (* 1/3 x) (* 1/2 x)))))) (* 1/2 (/ 1 x))) a)
(/ (+ (* a (+ 1/2 (* a (- (+ x (* a (- (* 2/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- x (+ (* 1/3 x) (* 1/2 x))))))))) (+ (* 1/3 x) (* 1/2 x)))))) (* 1/2 (/ 1 x))) a)
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(* 1/6 a)
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(* a (pow x 2))
(* 2 (* a 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 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(exp (* a x))
(* a (+ x (/ 1 a)))
(- (/ (* (exp (* 2 (* a x))) (- (exp (* a x)) 1)) (- (exp (* 2 (* a x))) 1)) (/ 1 (+ 1 (exp (* a x)))))
(/ (exp (* 2 (* a x))) (- (exp (* 2 (* a x))) 1))
(exp (* 2 (* a x)))
(* 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 (* (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)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/2 (/ x 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))))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a 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)))))))
(sqrt x)
(* x (- (+ (* 1/4 a) (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 1/24 (pow a 3)) (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a))))) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (+ (* 1/96 (pow a 4)) (* 1/2 (/ (+ (* 1/120 (pow a 5)) (+ (* 1/12 (pow a 5)) (+ (* 1/3 (pow a 5)) (* 4/3 (pow a 5))))) a)))))) (+ (* 1/15 (pow a 4)) (+ (* 1/3 (* (pow a 3) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))) (* a (- (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))))))))) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(/ (+ (* 1/2 x) (* 1/2 (/ 1 a))) x)
(/ (+ (* x (+ 1/2 (* x (- a (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(/ (+ (* x (+ 1/2 (* x (- (+ a (* x (- (* 2/3 (pow a 2)) (+ (* 1/6 (pow a 2)) (+ (* 1/3 (pow a 2)) (* a (- a (+ (* 1/3 a) (* 1/2 a))))))))) (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ a (/ 1 x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) (- (exp (* x a)) 1) (* (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) a) (sqrt x) (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (pow (exp 2) (* x a)) (exp 2) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/6 a) x) 1/2) x) (* a (* x x)) (pow (exp x) a) (* 2 (* x a)))
18.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) (- (exp (* x a)) 1) (* (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) a) (sqrt x) (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (pow (exp 2) (* x a)) (exp 2) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/6 a) x) 1/2) x) (* a (* x x)) (pow (exp x) a) (* 2 (* x a)))
14.0ms	x	@	0	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) (- (exp (* x a)) 1) (* (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) a) (sqrt x) (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (pow (exp 2) (* x a)) (exp 2) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/6 a) x) 1/2) x) (* a (* x x)) (pow (exp x) a) (* 2 (* x a)))
7.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) (- (exp (* x a)) 1) (* (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) a) (sqrt x) (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (pow (exp 2) (* x a)) (exp 2) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/6 a) x) 1/2) x) (* a (* x x)) (pow (exp x) a) (* 2 (* x a)))
5.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) a) (+ (* (* a x) (* (+ (* (* 1/6 a) x) 1/2) x)) x) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg x) (- (neg a) (/ 1 x))) (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) (- (exp (* x a)) 1) (* (+ (* (sqrt x) (sqrt x)) (* (* a (* x x)) (+ (* (* 1/6 a) x) 1/2))) a) (sqrt x) (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (pow (exp 2) (* x a)) (exp 2) (* 1/6 a) (+ (* (* 1/6 a) x) 1/2) (* (+ (* (* 1/6 a) x) 1/2) x) (* a (* x x)) (pow (exp x) a) (* 2 (* x a)))

simplify155.0ms (2.5%)

Memory

-12.4MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	533	2418
1	1881	2122
0	8276	1939

Stop Event

1×	iter limit
1×	node limit

Counts

93 → 92

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))))))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (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)))))))
(* a (- (+ (* 1/4 x) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x))))) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (+ (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (* 1/24 (pow x 3)))))) (+ (* -1/4 (* (pow x 2) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/48 (pow x 4)) (+ (* 1/96 (pow x 4)) (* 1/2 (/ (+ (* 1/120 (pow x 5)) (+ (* 1/12 (pow x 5)) (+ (* 1/3 (pow x 5)) (* 4/3 (pow x 5))))) x)))))) (+ (* 1/15 (pow x 4)) (+ (* 1/3 (* (pow x 3) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))) (* x (- (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))))))))) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(/ 1/2 (* a x))
(/ (+ (* 1/2 a) (* 1/2 (/ 1 x))) a)
(/ (+ (* a (+ 1/2 (* a (- x (+ (* 1/3 x) (* 1/2 x)))))) (* 1/2 (/ 1 x))) a)
(/ (+ (* a (+ 1/2 (* a (- (+ x (* a (- (* 2/3 (pow x 2)) (+ (* 1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- x (+ (* 1/3 x) (* 1/2 x))))))))) (+ (* 1/3 x) (* 1/2 x)))))) (* 1/2 (/ 1 x))) a)
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(* 1/6 a)
1/2
(+ 1/2 (* 1/6 (* a x)))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(* a (pow x 2))
(* 2 (* a 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 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* a (pow x 3)))
(* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(exp (* a x))
(* a (+ x (/ 1 a)))
(- (/ (* (exp (* 2 (* a x))) (- (exp (* a x)) 1)) (- (exp (* 2 (* a x))) 1)) (/ 1 (+ 1 (exp (* a x)))))
(/ (exp (* 2 (* a x))) (- (exp (* 2 (* a x))) 1))
(exp (* 2 (* a x)))
(* 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 (* (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)))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/2 (/ x 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))))))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* (pow x 2) (+ 1/2 (* 1/6 (* a 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)))))))
(sqrt x)
(* x (- (+ (* 1/4 a) (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 1/24 (pow a 3)) (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a))))) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (+ (* 1/96 (pow a 4)) (* 1/2 (/ (+ (* 1/120 (pow a 5)) (+ (* 1/12 (pow a 5)) (+ (* 1/3 (pow a 5)) (* 4/3 (pow a 5))))) a)))))) (+ (* 1/15 (pow a 4)) (+ (* 1/3 (* (pow a 3) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))) (* a (- (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))))))))) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(/ (+ (* 1/2 x) (* 1/2 (/ 1 a))) x)
(/ (+ (* x (+ 1/2 (* x (- a (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(/ (+ (* x (+ 1/2 (* x (- (+ a (* x (- (* 2/3 (pow a 2)) (+ (* 1/6 (pow a 2)) (+ (* 1/3 (pow a 2)) (* a (- a (+ (* 1/3 a) (* 1/2 a))))))))) (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(* x (+ 1/2 (* 1/6 (* a x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ a (/ 1 x)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))

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 (.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 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)
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) a x)
(* 1/2 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
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 (*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64))) a x) a #s(literal 1 binary64))
(* a (- (+ (* 1/4 x) (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x))) (* 1/2 x)))
(.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)) a)
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
(.f64 (fma.f64 #s(literal 1/4 binary64) x (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 19/6 binary64)) x) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) x) x (.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64)) x))) a (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64)))) a)
(* a (- (+ (* 1/4 x) (+ (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* a (- (+ (* -1/8 (pow x 2)) (+ (* 1/8 (pow x 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (* a (- (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/2 (/ (+ (* 1/24 (pow x 4)) (+ (* 1/3 (pow x 4)) (+ (* 4/3 (pow x 4)) (pow x 4)))) x))))) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))) (* x (- (* 1/2 (/ (+ (* 1/6 (pow x 3)) (+ (* 2 (pow x 3)) (pow x 3))) x)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x))))))))))))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/2 (/ (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) x)) (* 1/2 x)))))))) (* 1/2 x)))
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(* x (- (+ (* 1/4 a) (+ (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* x (- (+ (* -1/8 (pow a 2)) (+ (* 1/8 (pow a 2)) (+ (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (+ (* 1/24 (pow a 3)) (+ (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (* x (- (+ (* -1/2 (* a (+ (* -1/2 (* a (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/16 (pow a 3)) (* 1/24 (pow a 3)))))) (+ (* -1/4 (* (pow a 2) (+ (* -1/8 (pow a 2)) (* 1/8 (pow a 2))))) (+ (* -1/48 (pow a 4)) (+ (* 1/96 (pow a 4)) (* 1/2 (/ (+ (* 1/120 (pow a 5)) (+ (* 1/12 (pow a 5)) (+ (* 1/3 (pow a 5)) (* 4/3 (pow a 5))))) a)))))) (+ (* 1/15 (pow a 4)) (+ (* 1/3 (* (pow a 3) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))) (* a (- (* 1/2 (/ (+ (* 1/24 (pow a 4)) (+ (* 1/3 (pow a 4)) (+ (* 4/3 (pow a 4)) (pow a 4)))) a)) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))))))))) (+ (* 1/6 (pow a 3)) (+ (* 2/3 (* (pow a 2) (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))) (* a (- (* 1/2 (/ (+ (* 1/6 (pow a 3)) (+ (* 2 (pow a 3)) (pow a 3))) a)) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a))))))))))))) (+ (* 1/3 (pow a 2)) (* a (- (* 1/2 (/ (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) a)) (* 1/2 a)))))))) (* 1/2 a)))
(.f64 (fma.f64 #s(literal 1/4 binary64) a (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 0 binary64) a (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 (-.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -1/48 binary64)) a #s(literal 0 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal -1/96 binary64) (fma.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal 7/4 binary64) (.f64 (pow.f64 a #s(literal 5 binary64)) #s(literal 1/120 binary64))) a) #s(literal 1/2 binary64) #s(literal 0 binary64)))) (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/15 binary64) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64))) (pow.f64 a #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 a a) #s(literal 2/3 binary64)) (-.f64 (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 19/6 binary64)) a) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) a) a (.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64)) a))) (.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 8/3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) a) #s(literal 1/2 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 19/6 binary64)) a) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) a) a (.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64)) a))) a (.f64 (.f64 (.f64 (.f64 a a) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a)))) a))))) x (.f64 (/.f64 (fma.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 8/3 binary64) (.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 1/24 binary64))) a) #s(literal 1/2 binary64))))) (fma.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 19/6 binary64)) a) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) a) a (.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64)) a))) a (.f64 (.f64 (.f64 (.f64 a a) #s(literal 2/3 binary64)) #s(literal 1/2 binary64)) (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a))))) x (.f64 (/.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 19/6 binary64)) a) #s(literal 1/2 binary64))) #s(literal 0 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) a) a (.f64 (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64)) a))) x (.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (*.f64 a a)) a) a) #s(literal 1/2 binary64)))) x)
(/ (+ (* 1/2 x) (* 1/2 (/ 1 a))) x)
(-.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) a))
(/ (+ (* x (+ 1/2 (* x (- a (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(/.f64 (fma.f64 (fma.f64 (-.f64 a (*.f64 #s(literal 5/6 binary64) a)) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1/2 binary64) a)) x)
(/ (+ (* x (+ 1/2 (* x (- (+ a (* x (- (* 2/3 (pow a 2)) (+ (* 1/6 (pow a 2)) (+ (* 1/3 (pow a 2)) (* a (- a (+ (* 1/3 a) (* 1/2 a))))))))) (+ (* 1/3 a) (* 1/2 a)))))) (* 1/2 (/ 1 a))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 a a) #s(literal 2/3 binary64)) (fma.f64 (-.f64 a (.f64 #s(literal 5/6 binary64) a)) a (.f64 (.f64 a a) #s(literal 1/2 binary64)))) x (-.f64 a (.f64 #s(literal 5/6 binary64) a))) x #s(literal 1/2 binary64)) x (/.f64 #s(literal 1/2 binary64) a)) x)
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 a a) x a) #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) a) a (.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 4/3 binary64))) x (.f64 #s(literal 2 binary64) a)) x #s(literal 1 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 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 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(.f64 (fma.f64 (/.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a a) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/6 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) a (/.f64 #s(literal 1 binary64) x)) x)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) a (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(* x (+ a (/ 1 x)))
(fma.f64 a x #s(literal 1 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* (pow x 2) (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(.f64 (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (neg.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 (neg.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)) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(.f64 (neg.f64 (fma.f64 (/.f64 a x) #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 a a)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (neg.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)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/6 binary64) a (/.f64 #s(literal -1/2 binary64) x))) (pow.f64 x #s(literal 3 binary64)))
(* -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 (/ (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)) x)) (* -1/6 (pow a 2)))))
(.f64 (neg.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)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))) x)) (* -1/6 (pow a 3)))))
(.f64 (neg.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 (/.f64 #s(literal 1 binary64) x))) (neg.f64 x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(* -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)))

rewrite192.0ms (3.1%)

Memory

6.9MiB live, 283.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	339
0	98	327
1	341	327
2	2509	323
0	8518	320

Stop Event

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

Counts

26 → 840

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
(.f64 a (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x))
(/.f64 (.f64 (fma.f64 x x (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64))) a) (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) a) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x))))
(/.f64 (.f64 a (fma.f64 x x (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) #s(literal 2 binary64)))) (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x))
(/.f64 (.f64 a (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) a) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 x (fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x))))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 a (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)))
(fma.f64 (.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))) x (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a) a))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) x) (-.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/8 binary64)) x) (fma.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 x (-.f64 (pow.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (.f64 x (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 (.f64 a x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) x (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) x))
(fma.f64 #s(literal 1/2 binary64) x (.f64 x (.f64 (*.f64 a x) #s(literal 1/6 binary64))))
(fma.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 (.f64 (*.f64 a x) #s(literal 1/6 binary64)) x))
(fma.f64 x #s(literal 1/2 binary64) (.f64 x (.f64 (*.f64 a x) #s(literal 1/6 binary64))))
(+.f64 (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) x) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))) (.f64 #s(literal 1/2 binary64) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 (.f64 (.f64 a x) #s(literal 1/6 binary64)) x))
(+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 x (.f64 (.f64 a x) #s(literal 1/6 binary64))))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))))
(.f64 (.f64 (*.f64 a x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (.f64 a x)) x)
(.f64 (.f64 a x) x)
(.f64 (neg.f64 a) (.f64 x x))
(.f64 (.f64 x x) (neg.f64 a))
(.f64 (.f64 x x) a)
(.f64 a (.f64 x x))
(.f64 x (.f64 a x))
(neg.f64 (.f64 (.f64 x x) a))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 a x)))
(log.f64 (pow.f64 (exp.f64 x) (neg.f64 (*.f64 a x))))
(.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (sqrt.f64 (pow.f64 (exp.f64 x) a)))
(.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (/.f64 a #s(literal 2 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))) (/.f64 a #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a))) (sqrt.f64 (pow.f64 (exp.f64 x) a)))
(.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (fabs.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) a)))
(*.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) a))
(pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a) (/.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64))
(pow.f64 (exp.f64 a) (+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 2 binary64))))
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x (/.f64 a #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 a x))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 a x))))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 a x))) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 a x)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (fabs.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 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64))) (+.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 1 binary64) (pow.f64 (exp.f64 x) a))
(fma.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 a x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a x)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 a x))))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))
(-.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x (/.f64 a #s(literal 2 binary64))))) (sinh.f64 (.f64 #s(literal 2 binary64) (.f64 x (/.f64 a #s(literal 2 binary64))))))
(+.f64 (.f64 (cosh.f64 (.f64 a x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 a x))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 a x))))
(+.f64 (sinh.f64 (.f64 a x)) (cosh.f64 (.f64 a x)))
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (neg.f64 (.f64 a x))))
(+.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (.f64 a x)))
(exp.f64 (.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x))) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))) #s(literal 2 binary64)))
(exp.f64 (.f64 x (.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64)))))
(exp.f64 (*.f64 x (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) x) (/.f64 a #s(literal 2 binary64))))
(exp.f64 (fma.f64 x (/.f64 a #s(literal 2 binary64)) (*.f64 x (/.f64 a #s(literal 2 binary64)))))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 x (/.f64 a #s(literal 2 binary64)))))
(exp.f64 (neg.f64 (*.f64 a x)))
(exp.f64 (*.f64 a x))
(.f64 (.f64 #s(literal 2 binary64) a) x)
(*.f64 (+.f64 a a) x)
(.f64 (fma.f64 x (/.f64 a #s(literal 2 binary64)) (.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) a)
(.f64 (.f64 x (/.f64 a #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 4 binary64))))
(.f64 (.f64 a x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 a x))
(.f64 a (.f64 #s(literal 2 binary64) x))
(*.f64 x (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))))
(*.f64 x (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a)))
(.f64 x (.f64 a #s(literal 2 binary64)))
(*.f64 x (+.f64 a a))
(log1p.f64 (sinh.f64 (neg.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))))
(log1p.f64 (sinh.f64 (.f64 (.f64 a x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (.f64 (.f64 a x) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (pow.f64 (*.f64 a x) #s(literal 2 binary64)))))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 a x))
(fma.f64 (.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))) x (.f64 a x))
(fma.f64 (*.f64 #s(literal 2 binary64) a) x #s(literal 0 binary64))
(fma.f64 (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))) x (*.f64 a x))
(fma.f64 (+.f64 a a) x #s(literal 0 binary64))
(fma.f64 (fma.f64 x (/.f64 a #s(literal 2 binary64)) (*.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) a #s(literal 0 binary64))
(fma.f64 (*.f64 x (/.f64 a #s(literal 2 binary64))) (log.f64 (exp.f64 #s(literal 4 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 a #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) x) (.f64 a x))
(fma.f64 (*.f64 a x) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 a x))
(fma.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))) (*.f64 a x))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (log.f64 (pow.f64 (exp.f64 a) (sqrt.f64 x))) (*.f64 a x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a) (.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 a x))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 a x))
(fma.f64 a (*.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 a x (*.f64 a x))
(fma.f64 x (log.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 x (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) a)) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 a x))
(fma.f64 x (+.f64 a a) #s(literal 0 binary64))
(fma.f64 x a (*.f64 a x))
(-.f64 (log1p.f64 (pow.f64 (sinh.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (*.f64 a x) #s(literal 2 binary64)))))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 a x) #s(literal 2 binary64)))
(-.f64 (.f64 a x) (.f64 (neg.f64 a) x))
(-.f64 (.f64 a x) (.f64 a x))
(+.f64 (log.f64 (neg.f64 (pow.f64 (exp.f64 x) a))) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3/2 binary64))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a))) (log.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 3/2 binary64))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 a x) #s(literal 2 binary64)))
(+.f64 (.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 (.f64 a x) (.f64 a x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))

eval277.0ms (4.5%)

Memory: -7.0MiB live, 183.4MiB allocated
Compiler: Compiled 31 403 to 3 463 computations (89% saved)

prune40.0ms (0.6%)

Memory

-10.4MiB live, 50.2MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	813	6	819
Fresh	1	2	3
Picked	2	3	5
Done	0	5	5
Total	816	16	832

Accuracy

100.0%

Counts

832 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.0%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
	57.5%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	23.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.0%	(-.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))
✓	4.2%	(-.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))
✓	21.1%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
	50.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
✓	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
	65.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 a x) #s(literal 1/6 binary64))) x) x) a))
	64.9%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
✓	44.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
✓	65.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
	48.3%	#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)) a))
	49.3%	#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) x))

Compiler

Compiled 1 013 to 443 computations (56.3% saved)

regimes36.0ms (0.6%)

Memory

36.9MiB live, 36.9MiB allocated

Counts

30 → 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 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#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 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) 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 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#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 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) x))
#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
(expm1.f64 (*.f64 x a))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))
(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))

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

Calls

5 calls:

8.0ms	x
8.0ms	a
7.0ms	(*.f64 a x)
6.0ms	(exp.f64 (*.f64 a x))
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes60.0ms (1%)

Memory

-13.9MiB live, 32.2MiB 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 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#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 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) 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 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#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 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 a a)) a) a) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) x))
#s(approx (+ (* (/ (pow (exp 2) (* x a)) (- (exp (* 2 (* x a))) 1)) (- (exp (* x a)) 1)) (/ -1 (+ 1 (pow (exp x) a)))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal 5/2 binary64) (.f64 x x)) x) x) #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 (.f64 a (.f64 x x)) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x)) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

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

Calls

5 calls:

37.0ms	x
6.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
66.2%	1	`(*.f64 a x)`
66.2%	1	`(exp.f64 (*.f64 a x))`
66.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.2%	1	`a`
66.2%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes56.0ms (0.9%)

Memory

-18.8MiB live, 27.6MiB allocated

Counts

17 → 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 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(approx ( (* x x) (+ (* (* 1/6 a) x) 1/2)) (.f64 (.f64 x x) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) #s(literal 1/2 binary64)) x) x) a))
#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 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) 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 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 #s(approx (+ ( (* 1/6 a) x) 1/2) (.f64 (.f64 a x) #s(literal 1/6 binary64))) x) x) a))
#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))

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

Calls

5 calls:

37.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	a
5.0ms	x
4.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
65.9%	1	`(exp.f64 (*.f64 a x))`
65.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
65.9%	1	`x`
65.9%	1	`(*.f64 a x)`
65.9%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB 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	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
22.5%	1	`a`
22.5%	1	`(*.f64 a x)`
22.5%	1	`x`
22.5%	1	`(exp.f64 (*.f64 a x))`
22.5%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify44.0ms (0.7%)

Memory

28.2MiB live, 28.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	44
1	39	44
2	59	44
3	105	44
4	291	44
5	2109	44
6	5435	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 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

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

derivations717.0ms (11.5%)

Memory

-24.0MiB live, 486.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	40	253
0	63	250
1	230	250
2	1509	250
0	8361	244
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	215	870
1	792	870
2	3000	770
0	8362	674

Stop Event

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

Compiler

Compiled 44 to 23 computations (47.7% saved)

preprocess32.0ms (0.5%)

Memory: 29.9MiB live, 76.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 124 to 82 computations (33.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze25.0ms (0.4%)

sample973.0ms (15.6%)

explain75.0ms (1.2%)

preprocess197.0ms (3.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify112.0ms (1.8%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify239.0ms (3.8%)

rewrite139.0ms (2.2%)

eval62.0ms (1%)

prune10.0ms (0.2%)

simplify173.0ms (2.8%)

localize185.0ms (3%)

series11.0ms (0.2%)

simplify175.0ms (2.8%)

rewrite136.0ms (2.2%)

eval86.0ms (1.4%)

prune16.0ms (0.3%)

simplify146.0ms (2.3%)

localize81.0ms (1.3%)

series19.0ms (0.3%)

simplify173.0ms (2.8%)

rewrite656.0ms (10.6%)

eval50.0ms (0.8%)

prune19.0ms (0.3%)

simplify110.0ms (1.8%)

localize626.0ms (10.1%)

series86.0ms (1.4%)

simplify155.0ms (2.5%)

rewrite192.0ms (3.1%)

eval277.0ms (4.5%)

prune40.0ms (0.6%)

regimes36.0ms (0.6%)

regimes60.0ms (1%)

regimes56.0ms (0.9%)

regimes5.0ms (0.1%)

simplify44.0ms (0.7%)

derivations717.0ms (11.5%)

preprocess32.0ms (0.5%)

end0.0ms (0%)

Profiling