Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze32.0ms (0.6%)

Memory

-1.1MiB live, 30.3MiB allocated; 22ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75.9%	68.7%	21.9%	0.1%	0%	9.4%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
86%	71.8%	11.7%	0.1%	0%	16.4%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.4%	73.4%	6%	0.1%	0%	20.5%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample721.0ms (13.2%)

Memory

38.0MiB live, 408.1MiB allocated; 198ms collecting garbage

Samples

422.0ms	8 256×	0	valid
14.0ms	327×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-mult: 78.0ms (48.6% of total)

ival-expm1: 51.0ms (31.8% of total)

ival->: 20.0ms (12.5% of total)

exact: 6.0ms (3.7% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain74.0ms (1.4%)

Memory

3.9MiB live, 55.4MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
122	0	-	1	(6.121956140805503e-248 2.6986084570559465e+245)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	2	(-1.6351114848005605e-187 -2.1238444610370678e+189)	1	(2.1311122645154308e-88 3.515009188216591e+89)	`(exp.f64 (*.f64 a x))`
0	0	-	0	-	`a`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	121	1
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	121	2
-	2	131

Precision

0.983739837398374

Recall

0.983739837398374

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	121	2	0
-	2	0	131

Precision?

0.984

Recall?

1.0

Freqs

test

number	freq
0	133
1	123

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

24.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

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

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

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess145.0ms (2.7%)

Memory

-0.7MiB live, 134.3MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify113.0ms (2.1%)

Memory

-17.6MiB live, 124.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.042778455917839735	(exp.f64 (*.f64 a x))
accuracy	27.537050270301275	(-.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 (36% of total)

ival-mult: 2.0ms (36% of total)

ival-expm1: 2.0ms (36% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify298.0ms (5.5%)

Memory

-17.3MiB live, 305.3MiB allocated; 97ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite167.0ms (3.1%)

Memory

31.6MiB live, 173.7MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 384

Calls

Call 1

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

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

eval51.0ms (0.9%)

Memory: -24.9MiB live, 65.0MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune11.0ms (0.2%)

Memory

25.7MiB live, 25.7MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	385	10	395
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	386	10	396

Accuracy

99.9%

Counts

396 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	21.0%	(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
▶	56.9%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
▶	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
	57.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
	60.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	63.9%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 304 to 210 computations (30.9% saved)

simplify114.0ms (2.1%)

Memory

-7.5MiB live, 92.0MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize162.0ms (3%)

Memory

-10.9MiB live, 125.6MiB allocated; 9ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 #s(literal 2 binary64))
accuracy	0.053773885771823134	(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
accuracy	0.26112029735485975	(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
accuracy	27.537050270301275	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.08203125	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	23.210304568077486	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	23.29257186102375	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	23.586511521663073	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.04314216452874396	(expm1.f64 (*.f64 x a))

Samples

91.0ms	80×	2	valid
33.0ms	80×	1	valid
15.0ms	96×	0	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-pow: 59.0ms (50.9% of total)

adjust: 16.0ms (13.8% of total)

ival-exp: 14.0ms (12.1% of total)

ival-mult: 11.0ms (9.5% of total)

ival-add: 5.0ms (4.3% of total)

ival-expm1: 5.0ms (4.3% of total)

ival-sqrt: 4.0ms (3.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

16 → 51

Calls

Call 1

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

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

Calls

6 calls:

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

simplify155.0ms (2.8%)

Memory

31.8MiB live, 123.2MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

rewrite305.0ms (5.6%)

Memory

2.3MiB live, 146.4MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

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

Counts

16 → 435

Calls

Call 1

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

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

eval191.0ms (3.5%)

Memory: 5.8MiB live, 96.8MiB allocated; 11ms collecting garbage
Compiler: Compiled 16 335 to 2 154 computations (86.8% saved)

prune29.0ms (0.5%)

Memory

-46.7MiB live, 49.5MiB allocated; 14ms collecting garbage

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	533	13	546
Fresh	3	2	5
Picked	1	4	5
Done	0	0	0
Total	537	19	556

Accuracy

100.0%

Counts

556 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	21.0%	(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
▶	56.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
	57.0%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
	5.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
	19.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	37.4%	(expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	57.8%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (fma.f64 #s(literal 4/3 binary64) (.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x))
	56.6%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
	57.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
▶	60.4%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	63.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 787 to 505 computations (35.8% saved)

simplify104.0ms (1.9%)

Memory

4.7MiB live, 95.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	318
0	62	314
1	115	314
2	268	311
3	779	311
4	2351	305
5	6381	305
0	8354	294

Stop Event

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

Calls

Call 1

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

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

localize254.0ms (4.7%)

Memory

15.6MiB live, 156.0MiB allocated; 17ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.0	(exp.f64 #s(literal 2 binary64))
accuracy	0.06320398430535232	(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
accuracy	27.537050270301275	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
accuracy	13.524686093517232	(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
accuracy	23.210304568077486	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
accuracy	39.98138166849841	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
accuracy	0.08203125	(fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))
accuracy	23.210304568077486	#s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) (fma.f64 #s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x))) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	40.44079778800343	#s(approx (+ (* (* 1/2 a) x) 1) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	1.478869729216541	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	7.508092745332951	(.f64 (.f64 a a) x)
accuracy	23.554739295334567	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	23.10895042005898	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

104.0ms	80×	2	valid
48.0ms	80×	1	valid
23.0ms	96×	0	valid

Compiler

Compiled 194 to 31 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-pow: 60.0ms (43.1% of total)

ival-mult: 28.0ms (20.1% of total)

adjust: 19.0ms (13.7% of total)

ival-exp: 14.0ms (10.1% of total)

ival-add: 6.0ms (4.3% of total)

ival-expm1: 5.0ms (3.6% of total)

ival-div: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

19 → 37

Calls

Call 1

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

Calls

6 calls:

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

simplify149.0ms (2.7%)

Memory

-15.3MiB live, 125.5MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	403
1	429	403
2	1465	397
3	4788	397
0	8081	358

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 36

Calls

Call 1

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

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

rewrite201.0ms (3.7%)

Memory

3.7MiB live, 191.7MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	260
0	62	260
1	226	256
2	1583	256
0	8302	240

Stop Event

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

Counts

19 → 300

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(*.f64 a x)
(*.f64 x a)
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) x)
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x)) (.f64 (.f64 a x) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))) (.f64 (.f64 a x) (.f64 x (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) x)) (neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 a) a)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) x) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64))) x) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 a) a))) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a))
(/.f64 (.f64 x (fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x (.f64 a x))
(fma.f64 a x (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x))
(fma.f64 a x (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))
(fma.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) (.f64 a x))
(fma.f64 x a (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x))
(fma.f64 x a (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))
(+.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) x) (*.f64 a x))
(+.f64 (.f64 x (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)) (*.f64 a x))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x) x))
(+.f64 (.f64 a x) (.f64 x (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) (fma.f64 (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) a)) (/.f64 (.f64 a a) (-.f64 (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x) a))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x)) (.f64 #s(literal -1/2 binary64) (.f64 (.f64 a a) x)) (.f64 a (.f64 #s(literal -1/2 binary64) (.f64 (*.f64 a a) x))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 (.f64 a a) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (.f64 (neg.f64 (.f64 (.f64 a a) x)) #s(literal 1/2 binary64)) (.f64 (neg.f64 (.f64 (.f64 a a) x)) #s(literal 1/2 binary64)) (.f64 a (.f64 (neg.f64 (.f64 (*.f64 a a) x)) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 a a (fma.f64 (.f64 (neg.f64 (.f64 a a)) (.f64 #s(literal 1/2 binary64) x)) (.f64 (neg.f64 (.f64 a a)) (.f64 #s(literal 1/2 binary64) x)) (.f64 a (.f64 (neg.f64 (.f64 a a)) (*.f64 #s(literal 1/2 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) (-.f64 (.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 a (-.f64 a (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x)))))))))
(/.f64 (neg.f64 (-.f64 (.f64 a a) (pow.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) a) x))))
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eval102.0ms (1.9%)

Memory: 22.3MiB live, 67.7MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 898 to 1 444 computations (90.3% saved)

prune18.0ms (0.3%)

Memory

-8.9MiB live, 36.3MiB allocated; 4ms collecting garbage

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	331	5	336
Fresh	2	8	10
Picked	2	3	5
Done	0	4	4
Total	335	20	355

Accuracy

100.0%

Counts

355 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	21.0%	(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
	56.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 a x) #s(literal 1/4 binary64))) #s(literal 1 binary64))
✓	56.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
▶	5.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
	19.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	37.4%	(expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	57.8%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (fma.f64 #s(literal 4/3 binary64) (.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x))
	57.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	56.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
▶	63.2%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
	18.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))) x))
✓	63.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	19.0%	#s(approx (- (exp (* x a)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)))

Compiler

Compiled 802 to 507 computations (36.8% saved)

simplify142.0ms (2.6%)

Memory

-13.3MiB live, 124.6MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))
cost-diff	6	(+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
cost-diff	14	(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))))
cost-diff	22	(-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
cost-diff	0	(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)
cost-diff	0	#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a))
cost-diff	0	#s(approx (- (exp (* x a)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
cost-diff	0	#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a))
cost-diff	0	(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	598
0	85	491
1	173	489
2	576	456
3	4574	456
0	8770	446

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)
#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)))
#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
(.f64 (.f64 #s(literal 1/2 binary64) a) x)
(*.f64 #s(literal 1/2 binary64) a)
#s(literal 1/2 binary64)
a
x
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a))
(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)))
#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
(.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)
(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a))
(*.f64 x x)
x
#s(literal 1/2 binary64)
(/.f64 x a)
a
#s(literal 1 binary64)
(expm1.f64 (/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))))
(expm1.f64 (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))))
(.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64))
(+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 3 binary64))
(*.f64 a (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 x #s(literal 2 binary64)) a)
a
(/.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(literal 3 binary64)
(fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))
(.f64 (.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) a) (/.f64 a #s(literal 2 binary64)))
(-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))
#s(literal 0 binary64)
(.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (/.f64 x #s(literal 2 binary64)) x) a) (/.f64 a #s(literal 2 binary64)))

localize177.0ms (3.2%)

Memory

24.7MiB live, 167.7MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.20769501953688402	(.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (*.f64 a (/.f64 x #s(literal 2 binary64))))
accuracy	0.22759633791597814	(pow.f64 (*.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))
accuracy	12.550711072511522	(-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))
accuracy	42.372955666001374	(/.f64 (+.f64 (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))))))
accuracy	14.20639453771669	(.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a)
accuracy	23.210304568077486	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
accuracy	39.98138166849841	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))
accuracy	7.508092745332951	(.f64 (.f64 a a) x)
accuracy	23.210304568077486	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
accuracy	27.537050270301275	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
accuracy	40.249219176490485	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.10546875	(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
accuracy	3.806093520464857	(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)
accuracy	23.554739295334567	#s(approx (- (exp (* x a)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)))
accuracy	30.077746158130072	#s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a))
accuracy	0.0	#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a))
accuracy	0.0390625	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
accuracy	1.478869729216541	(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)
accuracy	23.554739295334567	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))

Samples

96.0ms	162×	1	valid
28.0ms	94×	0	valid

Compiler

Compiled 420 to 42 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 39.0ms (42.5% of total)

adjust: 17.0ms (18.5% of total)

ival-add: 10.0ms (10.9% of total)

ival-pow: 8.0ms (8.7% of total)

ival-expm1: 7.0ms (7.6% of total)

ival-div: 6.0ms (6.5% of total)

ival-sub: 2.0ms (2.2% of total)

ival-exp: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (1%)

Memory

-10.3MiB live, 34.1MiB allocated; 11ms collecting garbage

Counts

24 → 41

Calls

Call 1

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

Outputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* 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)))))))
0
(* 1/4 (* (pow a 3) (pow x 3)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* (pow a 2) x)
x
(+ x (* 1/2 (* a (pow x 2))))
(* 1/8 (* (pow a 3) (pow x 3)))
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Calls

6 calls:

Time	Variable		Point	Expression
33.0ms	x	@	0	((- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* 1/2 a) x) 1) a) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (* (* (* 1/2 a) x) x) a) (* (* (* 1/2 a) x) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))) (/ (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))))) (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2))))) (* (* a a) x) (* (+ (* (* x x) 1/2) (/ x a)) a) (pow (* a (/ x 2)) 3) (* (* a (/ x 2)) (* a (/ x 2))))
4.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* 1/2 a) x) 1) a) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (* (* (* 1/2 a) x) x) a) (* (* (* 1/2 a) x) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))) (/ (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))))) (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2))))) (* (* a a) x) (* (+ (* (* x x) 1/2) (/ x a)) a) (pow (* a (/ x 2)) 3) (* (* a (/ x 2)) (* a (/ x 2))))
4.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* 1/2 a) x) 1) a) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (* (* (* 1/2 a) x) x) a) (* (* (* 1/2 a) x) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))) (/ (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))))) (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2))))) (* (* a a) x) (* (+ (* (* x x) 1/2) (/ x a)) a) (pow (* a (/ x 2)) 3) (* (* a (/ x 2)) (* a (/ x 2))))
4.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* 1/2 a) x) 1) a) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (* (* (* 1/2 a) x) x) a) (* (* (* 1/2 a) x) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))) (/ (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))))) (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2))))) (* (* a a) x) (* (+ (* (* x x) 1/2) (/ x a)) a) (pow (* a (/ x 2)) 3) (* (* a (/ x 2)) (* a (/ x 2))))
4.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (+ (* (* 1/2 a) x) 1) a) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (* (* (* (* 1/2 a) x) x) a) (* (* (* 1/2 a) x) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (+ (* (* x x) 1/2) (/ x a)) a) a) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))) (/ (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2)))))) (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (+ (* (* a (/ x 2)) (* a (/ x 2))) (- (* (* a (/ x 2)) (* a (/ x 2))) (* (* a (/ x 2)) (* a (/ x 2))))) (* (* a a) x) (* (+ (* (* x x) 1/2) (/ x a)) a) (pow (* a (/ x 2)) 3) (* (* a (/ x 2)) (* a (/ x 2))))

simplify144.0ms (2.6%)

Memory

27.1MiB live, 115.8MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	431
1	454	431
2	1627	425
3	4675	423
0	8089	380

Stop Event

1×	iter limit
1×	node limit

Counts

41 → 39

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
a
(* a (+ 1 (* 1/2 (* a x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* 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)))))))
0
(* 1/4 (* (pow a 3) (pow x 3)))
(* 1/4 (* (pow a 2) (pow x 2)))
(* (pow a 2) x)
x
(+ x (* 1/2 (* a (pow x 2))))
(* 1/8 (* (pow a 3) (pow x 3)))
(- (exp (* a x)) 1)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) x))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(exp (* a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(+ a (* 1/2 (* (pow a 2) x)))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* x (+ 1 (* 1/2 (* a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) a) #s(literal 1/24 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) a (.f64 (*.f64 x x) #s(literal 1/2 binary64))) a x) a)
a
(* a (+ 1 (* 1/2 (* a x))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) x) a)
(* 1/2 (* a (pow x 2)))
(.f64 (.f64 (*.f64 #s(literal 1/2 binary64) a) x) x)
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a #s(literal 1 binary64))
0
#s(literal 0 binary64)
(* 1/4 (* (pow a 3) (pow x 3)))
(.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* 1/4 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 x x) a) a))
(* (pow a 2) x)
(.f64 (.f64 a a) x)
x
(+ x (* 1/2 (* a (pow x 2))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* 1/8 (* (pow a 3) (pow x 3)))
(.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 a x) #s(literal 3 binary64)))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* 1/2 (* (pow a 2) x))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64))
(* (pow a 2) (+ (* 1/2 x) (/ 1 a)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(exp (* a x))
(pow.f64 (exp.f64 x) a)
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 (-.f64 x (/.f64 #s(literal -1 binary64) a)) a)) (*.f64 a a))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (.f64 a a) #s(literal 1/2 binary64))) x a) x)
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 4 binary64)) x) #s(literal 1/24 binary64) (.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal 1/6 binary64))) x (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x)
(+ a (* 1/2 (* (pow a 2) x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 a #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) x a) x #s(literal 1 binary64))
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a)
(* x (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)
(* -1 (* x (+ (* -1 (/ a x)) (* -1/2 (pow a 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 (-.f64 a (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))

rewrite100.0ms (1.8%)

Memory

-15.9MiB live, 80.9MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	479
0	82	363
1	291	363
0	2112	348

Stop Event

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

Counts

24 → 326

Calls

Call 1

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

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

eval31.0ms (0.6%)

Memory: 18.3MiB live, 63.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 11 123 to 1 170 computations (89.5% saved)

prune19.0ms (0.4%)

Memory

-2.4MiB live, 43.6MiB allocated; 3ms collecting garbage

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	281	2	283
Fresh	1	7	8
Picked	2	3	5
Done	0	7	7
Total	284	19	303

Accuracy

100.0%

Counts

303 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	21.0%	(/.f64 (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (cosh.f64 (.f64 x a)) (-.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64))))
	56.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 a x) #s(literal 1/4 binary64))) #s(literal 1 binary64))
✓	56.9%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.6%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	6.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
✓	5.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
	19.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	37.4%	(expm1.f64 (/.f64 #s(approx (+ (pow (* a (/ x 2)) 3) (pow (* a (/ x 2)) 3)) (.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 1/4 binary64))) (fma.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))) (-.f64 (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64)))) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) (.f64 a (/.f64 x #s(literal 2 binary64))))))))
✓	99.9%	(expm1.f64 (*.f64 x a))
	57.8%	#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 a (fma.f64 #s(literal 4/3 binary64) (.f64 a a) (fma.f64 (neg.f64 a) a #s(literal 0 binary64)))) x (fma.f64 a a #s(literal 0 binary64))) #s(literal 1/2 binary64)) x a) x))
	57.5%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	56.6%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 x x) a) #s(literal 1/2 binary64) x) a))
✓	63.2%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x))
✓	63.9%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
	19.0%	#s(approx (- (exp (* x a)) 1) #s(approx (* (+ (* (* (* a a) x) 1/2) a) x) (.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) a) x)))

Compiler

Compiled 1 103 to 465 computations (57.8% saved)

regimes405.0ms (7.4%)

Memory

-24.0MiB live, 54.8MiB allocated; 955ms collecting garbage

Counts

31 → 1

Calls

Call 1

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

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

Calls

5 calls:

377.0ms	x
8.0ms	a
7.0ms	(*.f64 a x)
6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes61.0ms (1.1%)

Memory

-28.9MiB live, 39.8MiB allocated; 9ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

40.0ms	a
6.0ms	x
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
66.6%	2	`(*.f64 a x)`
66.6%	2	`(exp.f64 (*.f64 a x))`
66.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.9%	2	`a`
63.9%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes18.0ms (0.3%)

Memory

-20.7MiB live, 23.1MiB allocated; 4ms collecting garbage

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

8.0ms	(exp.f64 (*.f64 a x))
5.0ms	a
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
66.6%	2	`(exp.f64 (*.f64 a x))`
66.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
63.9%	1	`a`

Compiler

Compiled 11 to 12 computations (-9.1% saved)

regimes13.0ms (0.2%)

Memory

23.0MiB live, 23.0MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
66.2%	2	`(*.f64 a x)`
66.2%	2	`(exp.f64 (*.f64 a x))`
66.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes15.0ms (0.3%)

Memory

-22.6MiB live, 23.4MiB allocated; 3ms collecting garbage

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	a
3.0ms	(*.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
63.9%	1	`a`
63.9%	1	`(*.f64 a x)`
63.9%	1	`(exp.f64 (*.f64 a x))`
63.9%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
19.4%	1	`x`
19.4%	1	`(exp.f64 (*.f64 a x))`
19.4%	1	`(*.f64 a x)`
19.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.4%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	-5.7989464896212345e+246	-3.213684028702684e+246

Samples

2.0ms

64×

valid

Compiler

Compiled 181 to 137 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

ival-expm1: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-4.5060211117942117e-10

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-4.5060211117942117e-10

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify51.0ms (0.9%)

Memory

-12.3MiB live, 38.8MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	204
1	101	204
2	201	204
3	532	204
4	1538	204
5	4071	204

Stop Event

1×	node limit

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 a #s(literal -3799999999999999756058617039041391764068624108275936490937173340954074795328821049994414470557602482673561068656167289341512123668244335230203759534181088908978493199970248798074544917117736881042960550110507673365885163484577344450433556716453888 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (*.f64 x a)))
(if (<=.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) #s(approx (- (exp ( x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
(if (<=.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 a #s(literal -3799999999999999756058617039041391764068624108275936490937173340954074795328821049994414470557602482673561068656167289341512123668244335230203759534181088908978493199970248798074544917117736881042960550110507673365885163484577344450433556716453888 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (*.f64 x a)))
(if (<=.f64 a #s(literal -3799999999999999756058617039041391764068624108275936490937173340954074795328821049994414470557602482673561068656167289341512123668244335230203759534181088908978493199970248798074544917117736881042960550110507673365885163484577344450433556716453888 binary64)) (-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( x a)) 1) (*.f64 x a)))
(if (<=.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64)) #s(approx (- (exp ( x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
(if (<=.f64 (-.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)) x)))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* x a)) 1) (*.f64 x a))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

derivations713.0ms (13.1%)

Memory

34.8MiB live, 399.7MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	403
1	429	403
2	1465	397
3	4788	397
0	8081	358
0	215	870
1	792	870
2	3000	770
0	8362	674
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
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

Compiler

Compiled 204 to 63 computations (69.1% saved)

preprocess49.0ms (0.9%)

Memory: -2.6MiB live, 85.0MiB allocated; 15ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 444 to 162 computations (63.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze32.0ms (0.6%)

sample721.0ms (13.2%)

explain74.0ms (1.4%)

preprocess145.0ms (2.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify113.0ms (2.1%)

localize17.0ms (0.3%)

series4.0ms (0.1%)

simplify298.0ms (5.5%)

rewrite167.0ms (3.1%)

eval51.0ms (0.9%)

prune11.0ms (0.2%)

simplify114.0ms (2.1%)

localize162.0ms (3%)

series11.0ms (0.2%)

simplify155.0ms (2.8%)

rewrite305.0ms (5.6%)

eval191.0ms (3.5%)

prune29.0ms (0.5%)

simplify104.0ms (1.9%)

localize254.0ms (4.7%)

series15.0ms (0.3%)

simplify149.0ms (2.7%)

rewrite201.0ms (3.7%)

eval102.0ms (1.9%)

prune18.0ms (0.3%)

simplify142.0ms (2.6%)

localize177.0ms (3.2%)

series55.0ms (1%)

simplify144.0ms (2.6%)

rewrite100.0ms (1.8%)

eval31.0ms (0.6%)

prune19.0ms (0.4%)

regimes405.0ms (7.4%)

regimes61.0ms (1.1%)

regimes18.0ms (0.3%)

regimes13.0ms (0.2%)

regimes15.0ms (0.3%)

regimes5.0ms (0.1%)

bsearch6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.9%)

derivations713.0ms (13.1%)

preprocess49.0ms (0.9%)

end0.0ms (0%)

Profiling