Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze32.0ms (0.5%)

Memory

-21.0MiB live, 21.5MiB 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)

sample650.0ms (11.2%)

Memory

12.6MiB live, 612.0MiB allocated

Samples

381.0ms	8 256×	0	valid
13.0ms	307×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 209.0ms

ival-mult: 104.0ms (49.8% of total)

ival-expm1: 71.0ms (34% of total)

ival->: 22.0ms (10.5% of total)

exact: 8.0ms (3.8% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain72.0ms (1.2%)

Memory

-2.5MiB live, 99.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
128	0	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	-	`a`
0	1	(-6.919707959818783e-197 -9.186057555252741e+198)	-	`(exp.f64 (*.f64 a x))`
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	128	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	128	0
-	1	127

Precision

0.9922480620155039

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	0
-	1	0	127

Precision?

0.9922480620155039

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (51.5% of total)

ival-exp: 4.0ms (25.8% of total)

ival-expm1: 3.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess151.0ms (2.6%)

Memory

15.5MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify108.0ms (1.9%)

Memory

5.3MiB live, 102.9MiB 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)

localize17.0ms (0.3%)

Memory

16.9MiB live, 16.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.010097509768442016	(exp.f64 (*.f64 a x))
accuracy	28.407624573472514	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (34.8% of total)

ival-mult: 2.0ms (34.8% of total)

ival-expm1: 2.0ms (34.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.0MiB live, 3.0MiB 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))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (* a x))

simplify228.0ms (3.9%)

Memory

-11.8MiB live, 170.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite192.0ms (3.3%)

Memory

-16.1MiB live, 222.9MiB 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))

eval46.0ms (0.8%)

Memory: 39.1MiB live, 84.7MiB allocated
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune31.0ms (0.5%)

Memory

-29.8MiB live, 22.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	388	7	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	7	396

Accuracy

100.0%

Counts

396 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.7%	(-.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))
▶	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	62.4%	#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))
▶	61.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 180 to 132 computations (26.7% saved)

simplify156.0ms (2.7%)

Memory

-5.9MiB live, 83.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
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 (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
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	(*.f64 x a)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
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	20	112
0	31	108
1	57	108
2	132	108
3	385	108
4	1103	108
5	3177	108
6	5759	108
0	9306	108

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

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

localize39.0ms (0.7%)

Memory

32.0MiB live, 32.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	0.9810031391077129	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	7.115008988897365	(.f64 (.f64 a a) x)
accuracy	21.968249641756774	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	21.737773551354802	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	28.407624573472514	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	21.720660090806838	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
accuracy	22.187464769794143	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	28.407624573472514	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.025722509768442016	(expm1.f64 (*.f64 x a))

Samples

28.0ms

256×

valid

Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 9.0ms (53.4% of total)

ival-expm1: 3.0ms (17.8% of total)

ival-exp: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

12 → 30

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

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

Calls

6 calls:

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

simplify170.0ms (2.9%)

Memory

3.3MiB live, 97.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	318
1	358	318
2	1231	310
3	5315	310
0	8597	276

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 29

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

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

rewrite628.0ms (10.8%)

Memory

-40.2MiB live, 126.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
0	31	91
1	127	91
2	780	91
3	7889	91
0	8204	91

Stop Event

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

Counts

12 → 323

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

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

eval102.0ms (1.8%)

Memory: -15.3MiB live, 48.9MiB allocated
Compiler: Compiled 13 348 to 1 400 computations (89.5% saved)

prune10.0ms (0.2%)

Memory

20.3MiB live, 20.3MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	351	4	355
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	353	9	362

Accuracy

100.0%

Counts

362 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.7%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	62.4%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
▶	61.4%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	65.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	19.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 233 to 165 computations (29.2% saved)

simplify337.0ms (5.8%)

Memory

-11.7MiB live, 171.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	309
0	69	306
1	147	306
2	419	306
3	1476	306
4	3849	306
0	8324	298

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.9%)

Memory

-20.9MiB live, 168.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.43895224318930226	(.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0.7251825289072752	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
accuracy	5.378925695670174	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
accuracy	20.975586907597798	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.10384750976844201	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	21.4253830210256	#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	28.407624573472514	(-.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	0.0078125	(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
accuracy	1.2008335496092069	(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
accuracy	8.634114189084045	(.f64 (.f64 x x) a)
accuracy	21.968249641756774	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
accuracy	0.9810031391077129	(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x)
accuracy	7.111788077814179	(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
accuracy	21.968249641756774	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
accuracy	40.86286816843683	#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
accuracy	0.11328125	(.f64 (.f64 a x) a)
accuracy	0.9810031391077129	(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
accuracy	21.968249641756774	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))

Samples

75.0ms

256×

valid

Compiler

Compiled 226 to 39 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 36.0ms (67.9% of total)

ival-add: 8.0ms (15.1% of total)

const: 4.0ms (7.5% of total)

ival-expm1: 3.0ms (5.7% of total)

ival-exp: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.4%)

Memory

34.6MiB live, 34.6MiB allocated

Counts

21 → 72

Calls

Call 1

Inputs
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a)
(.f64 (.f64 a x) a)
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(.f64 (.f64 x x) a)
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 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))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* (pow a 2) x)
(* 1/2 (* (pow a 2) x))
x
(+ x (* 1/2 (* a (pow x 2))))
(* a (pow x 2))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (* 1/2 (* a x)))
(+ 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)))
(* 1/2 a)
(- (exp (* a x)) 1)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 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))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* (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)))
(* x (+ 1 (* 1/2 (* 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)))))))
(* 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 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* x (+ (* 1/2 a) (/ 1 x)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 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 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ 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
5.0ms	x	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a))
4.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a))
3.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a))
3.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (* a x) a) 1/2) a) x) (+ (* (* (* a x) a) 1/2) a) (* (* a x) a) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* (* a a) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) a) 1/2) x) a) (+ (* (* (* x x) a) 1/2) x) (* (* x x) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* a x) 1/6) 1/2)) a) x) (* (* x x) (+ (* (* a x) 1/6) 1/2)) (* 1/2 a))

simplify268.0ms (4.6%)

Memory

27.0MiB live, 274.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	888
1	801	852
2	3219	822
0	8956	745

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

rewrite172.0ms (3%)

Memory

-12.0MiB live, 134.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	263
0	69	260
1	266	260
2	1610	260
0	8252	252

Stop Event

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

Counts

21 → 421

Calls

Call 1

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

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

eval57.0ms (1%)

Memory: 30.3MiB live, 74.7MiB allocated
Compiler: Compiled 20 839 to 2 183 computations (89.5% saved)

prune16.0ms (0.3%)

Memory

-19.5MiB live, 26.1MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	458	3	461
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	460	10	470

Accuracy

100.0%

Counts

470 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.7%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	62.4%	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x x)) a (*.f64 x a)))
▶	65.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
▶	67.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
✓	65.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	19.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 157 to 110 computations (29.9% saved)

simplify327.0ms (5.6%)

Memory

-11.6MiB live, 134.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	194
0	39	190
1	84	190
2	269	190
3	1146	190
4	3589	190
0	8219	184

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

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

localize56.0ms (1%)

Memory

30.5MiB live, 74.2MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
accuracy	0.7290887789072752	(fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x x)) a (*.f64 x a))
accuracy	8.425075914123642	(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x x))
accuracy	20.975586907597798	#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x x)) a (*.f64 x a)))
accuracy	0.0078125	(fma.f64 (.f64 (.f64 x a) x) #s(literal 1/2 binary64) x)
accuracy	0.12890625	(.f64 (.f64 x a) x)
accuracy	1.2008335496092069	(.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a)
accuracy	21.968249641756774	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
accuracy	0.07421875	(.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x)
accuracy	0.09765625	(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
accuracy	0.7251825289072752	(.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a)
accuracy	20.975586907597798	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))

Samples

40.0ms

256×

valid

Compiler

Compiled 164 to 23 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (65.1% of total)

ival-add: 4.0ms (14.5% of total)

const: 3.0ms (10.9% of total)

ival-expm1: 2.0ms (7.2% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

14 → 61

Calls

Call 1

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

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

Calls

6 calls:

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

simplify274.0ms (4.7%)

Memory

-4.1MiB live, 138.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	724
1	738	680
2	2924	668
3	7089	668
0	8031	603

Stop Event

1×	iter limit
1×	node limit

Counts

61 → 60

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

rewrite200.0ms (3.4%)

Memory

-16.6MiB live, 170.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	168
0	39	164
1	147	164
2	1079	164
0	8237	158

Stop Event

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

Counts

14 → 649

Calls

Call 1

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

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

eval134.0ms (2.3%)

Memory: -11.0MiB live, 126.1MiB allocated
Compiler: Compiled 26 663 to 2 689 computations (89.9% saved)

prune16.0ms (0.3%)

Memory

45.6MiB live, 45.6MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	655	1	656
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	657	9	666

Accuracy

100.0%

Counts

666 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.7%	(-.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))
✓	22.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	65.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
	67.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
✓	65.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
✓	19.5%	#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	66.1%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 396 to 178 computations (55.1% saved)

regimes23.0ms (0.4%)

Memory

-11.8MiB live, 33.7MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)
3.0ms	(exp.f64 (*.f64 a x))
3.0ms	(-.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)

regimes22.0ms (0.4%)

Memory

-7.2MiB live, 37.1MiB allocated

Counts

14 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) (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)) 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 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 x a) (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) x) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) (.f64 x x)) a (*.f64 x a)))

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

Calls

5 calls:

7.0ms	a
4.0ms	x
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
67.2%	1	`(*.f64 a x)`
67.2%	1	`(exp.f64 (*.f64 a x))`
67.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.2%	1	`a`
67.2%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes16.0ms (0.3%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

11 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) (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)) 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 (.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 a x) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a))

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

Calls

5 calls:

3.0ms	x
3.0ms	a
3.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
67.2%	1	`(*.f64 a x)`
67.2%	1	`a`
67.2%	1	`(exp.f64 (*.f64 a x))`
67.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.2%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes40.0ms (0.7%)

Memory

-43.5MiB live, 17.6MiB allocated

Counts

10 → 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x a) x) #s(literal 1/2 binary64) x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
(-.f64 #s(approx (exp (* a x)) (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)) 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:

28.0ms	(exp.f64 (*.f64 a x))
3.0ms	a
3.0ms	x
3.0ms	(*.f64 a x)
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
66.1%	1	`(*.f64 a x)`
66.1%	1	`a`
66.1%	1	`(exp.f64 (*.f64 a x))`
66.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.1%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB 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
20.0%	1	`(*.f64 a x)`
20.0%	1	`a`
20.0%	1	`(exp.f64 (*.f64 a x))`
20.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.0%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify50.0ms (0.9%)

Memory

-8.7MiB live, 36.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	66
1	44	66
2	64	66
3	110	66
4	296	66
5	2114	66
6	5439	66

Stop Event

1×	node limit

Calls

Call 1

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

soundness892.0ms (15.4%)

Memory

53.1MiB live, 466.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	318
1	358	318
2	1231	310
3	5315	310
0	8597	276
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	190	724
1	738	680
2	2924	668
3	7089	668
0	8031	603
0	42	263
0	69	260
1	266	260
2	1610	260
0	8252	252
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168

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

Compiler

Compiled 158 to 96 computations (39.2% saved)

preprocess115.0ms (2%)

Memory: -18.4MiB live, 76.7MiB allocated
Remove: (sort a x)
Compiler: Compiled 168 to 92 computations (45.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze32.0ms (0.5%)

sample650.0ms (11.2%)

explain72.0ms (1.2%)

preprocess151.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify108.0ms (1.9%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

simplify228.0ms (3.9%)

rewrite192.0ms (3.3%)

eval46.0ms (0.8%)

prune31.0ms (0.5%)

simplify156.0ms (2.7%)

localize39.0ms (0.7%)

series8.0ms (0.1%)

simplify170.0ms (2.9%)

rewrite628.0ms (10.8%)

eval102.0ms (1.8%)

prune10.0ms (0.2%)

simplify337.0ms (5.8%)

localize108.0ms (1.9%)

series21.0ms (0.4%)

simplify268.0ms (4.6%)

rewrite172.0ms (3%)

eval57.0ms (1%)

prune16.0ms (0.3%)

simplify327.0ms (5.6%)

localize56.0ms (1%)

series12.0ms (0.2%)

simplify274.0ms (4.7%)

rewrite200.0ms (3.4%)

eval134.0ms (2.3%)

prune16.0ms (0.3%)

regimes23.0ms (0.4%)

regimes22.0ms (0.4%)

regimes16.0ms (0.3%)

regimes40.0ms (0.7%)

regimes5.0ms (0.1%)

simplify50.0ms (0.9%)

soundness892.0ms (15.4%)

preprocess115.0ms (2%)

end0.0ms (0%)

Profiling