Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze75.0ms (1.2%)

Memory

-12.0MiB live, 30.4MiB allocated; 14ms 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)

sample754.0ms (12.2%)

Memory

40.5MiB live, 486.5MiB allocated; 281ms collecting garbage

Samples

518.0ms	8 256×	0	valid
12.0ms	284×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-mult: 162.0ms (50.3% of total)

ival-expm1: 126.0ms (39.2% of total)

ival->: 21.0ms (6.5% of total)

exact: 7.0ms (2.2% of total)

ival-assert: 4.0ms (1.2% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

explain80.0ms (1.3%)

Memory

-22.3MiB live, 68.9MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
130	1	(1.2851529185279727e-168 5.10368001304751e-155)	0	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	0	-	1	(7.901994566526378e-35 9.872482926450678e+35)	`(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	131	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	131	1
-	1	123

Precision

0.9924242424242424

Recall

0.9924242424242424

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	1	0
-	1	0	123

Precision?

0.9924812030075187

Recall?

1.0

Freqs

test

number	freq
0	124
1	132

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-exp: 4.0ms (34.1% of total)

ival-mult: 4.0ms (34.1% of total)

ival-expm1: 3.0ms (25.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess133.0ms (2.1%)

Memory

-2.0MiB live, 142.0MiB allocated; 15ms 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

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify109.0ms (1.8%)

Memory

30.4MiB live, 127.2MiB allocated; 11ms 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)

localize18.0ms (0.3%)

Memory

-19.4MiB live, 27.3MiB allocated; 2ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.043573508238484784	(exp.f64 (*.f64 a x))
accuracy	29.79238168155062	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 3.0ms (41.2% of total)

ival-exp: 2.0ms (27.5% of total)

ival-expm1: 2.0ms (27.5% 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

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify229.0ms (3.7%)

Memory

25.2MiB live, 201.4MiB allocated; 55ms 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))

rewrite280.0ms (4.5%)

Memory

7.5MiB live, 153.8MiB allocated; 62ms 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))

eval136.0ms (2.2%)

Memory: -32.8MiB live, 58.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune10.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

99.9%

Counts

396 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
▶	53.0%	(-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))) #s(literal 1 binary64))
▶	18.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 x a))
	61.7%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
	61.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	66.0%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 250 to 184 computations (26.4% saved)

simplify233.0ms (3.8%)

Memory

-3.4MiB live, 93.6MiB allocated; 15ms 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)

localize165.0ms (2.7%)

Memory

4.3MiB live, 138.4MiB allocated; 12ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 #s(literal 2 binary64))
accuracy	0.021576413890847707	(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a))
accuracy	0.24172562487229804	(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
accuracy	29.79238168155062	(-.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	0.06640625	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	22.028428948527353	#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	29.79238168155062	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 x a #s(literal 1 binary64))
accuracy	22.10525823920564	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	29.79238168155062	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	22.203929325302113	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	29.79238168155062	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.047479758238484784	(expm1.f64 (*.f64 x a))

Samples

101.0ms	88×	2	valid
33.0ms	77×	1	valid
15.0ms	91×	0	valid

Compiler

Compiled 113 to 22 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-pow: 53.0ms (46.1% of total)

adjust: 17.0ms (14.8% of total)

ival-exp: 14.0ms (12.2% of total)

ival-mult: 13.0ms (11.3% of total)

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

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

ival-sqrt: 4.0ms (3.5% 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

10.8MiB live, 10.8MiB 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))

simplify159.0ms (2.6%)

Memory

-18.2MiB live, 121.3MiB allocated; 21ms 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)))

rewrite192.0ms (3.1%)

Memory

20.2MiB live, 160.2MiB allocated; 23ms 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)))
(-.f64 (pow.f64 (exp.f64 a) x) #s(literal 1 binary64))
(+.f64 (cosh.f64 (.f64 a x)) (-.f64 (sinh.f64 (.f64 a x)) #s(literal 1 binary64)))
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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))

eval71.0ms (1.1%)

Memory: 22.9MiB live, 111.1MiB allocated; 10ms collecting garbage
Compiler: Compiled 16 335 to 2 154 computations (86.8% saved)

prune53.0ms (0.9%)

Memory

-17.0MiB live, 38.3MiB allocated; 35ms collecting garbage

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	536	10	546
Fresh	3	1	4
Picked	1	4	5
Done	0	0	0
Total	540	15	555

Accuracy

99.9%

Counts

555 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
▶	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	18.7%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))) #s(literal 1 binary64))
	4.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	4.6%	(-.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))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
	60.8%	#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))
▶	61.7%	#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))
▶	61.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	66.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 463 to 343 computations (25.9% saved)

simplify190.0ms (3.1%)

Memory

-8.4MiB live, 179.6MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	276
0	60	274
1	127	270
2	394	267
3	1617	267
4	4863	267
0	8400	256

Stop Event

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

Calls

Call 1

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

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

localize157.0ms (2.5%)

Memory

34.9MiB live, 166.9MiB allocated; 15ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 a)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x)))
accuracy	0.04421746922244919	(exp.f64 (*.f64 (neg.f64 a) x))
accuracy	29.79238168155062	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 1 binary64))
accuracy	0.39001693854281544	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
accuracy	0.9509179511154211	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	5.041252602229482	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	21.60918009955963	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	7.416410121361873	(.f64 (.f64 a a) x)
accuracy	22.028428948527353	#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	29.79238168155062	(-.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	40.540739824740996	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0.0	(*.f64 a a)
accuracy	1.672730874102559	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	7.416410121361873	(.f64 (.f64 a a) x)
accuracy	22.365775208406482	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	21.77882701890887	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

69.0ms	88×	2	valid
43.0ms	77×	1	valid
22.0ms	91×	0	valid

Compiler

Compiled 197 to 36 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

adjust: 36.0ms (34.1% of total)

ival-mult: 29.0ms (27.5% of total)

ival-exp: 18.0ms (17.1% of total)

ival-add: 6.0ms (5.7% of total)

ival-expm1: 5.0ms (4.7% of total)

ival-div: 4.0ms (3.8% of total)

const: 4.0ms (3.8% of total)

ival-sub: 2.0ms (1.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory

-33.0MiB live, 22.9MiB allocated; 9ms collecting garbage

Counts

20 → 81

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (/ 1 (exp (* (neg a) x))) (- (/ 1 (exp (* (neg a) x))) 1) (exp (* (neg a) x)) (* (neg a) x) (* a a) (neg a))
5.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (/ 1 (exp (* (neg a) x))) (- (/ 1 (exp (* (neg a) x))) 1) (exp (* (neg a) x)) (* (neg a) x) (* a a) (neg a))
4.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (/ 1 (exp (* (neg a) x))) (- (/ 1 (exp (* (neg a) x))) 1) (exp (* (neg a) x)) (* (neg a) x) (* a a) (neg a))
3.0ms	x	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (/ 1 (exp (* (neg a) x))) (- (/ 1 (exp (* (neg a) x))) 1) (exp (* (neg a) x)) (* (neg a) x) (* a a) (neg a))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* x a)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (/ 1 (exp (* (neg a) x))) (- (/ 1 (exp (* (neg a) x))) 1) (exp (* (neg a) x)) (* (neg a) x) (* a a) (neg a))

simplify154.0ms (2.5%)

Memory

31.2MiB live, 118.7MiB allocated; 12ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	287	1225
1	1135	1130
2	4849	1062
0	8989	955

Stop Event

1×	iter limit
1×	node limit

Counts

81 → 79

Calls

Call 1

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

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

rewrite177.0ms (2.8%)

Memory

9.5MiB live, 147.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	233
0	60	231
1	225	227
2	1614	227
0	8348	213

Stop Event

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

Counts

20 → 421

Calls

Call 1

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

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

eval64.0ms (1%)

Memory: 1.2MiB live, 91.0MiB allocated; 8ms collecting garbage
Compiler: Compiled 17 579 to 2 079 computations (88.2% saved)

prune59.0ms (0.9%)

Memory

-5.6MiB live, 49.9MiB allocated; 27ms collecting garbage

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	495	8	503
Fresh	1	5	6
Picked	2	3	5
Done	0	4	4
Total	498	20	518

Accuracy

99.9%

Counts

518 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (.f64 (.f64 a (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
▶	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 1 binary64))
	51.9%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (* (neg a) x)) (fma.f64 (neg.f64 a) x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	18.7%	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))) #s(literal 1 binary64))
	4.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	4.6%	(-.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))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
▶	65.0%	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
	65.0%	#s(approx (- (exp (* x a)) 1) (fma.f64 a (.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) x)) (.f64 a x)))
	65.0%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
▶	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
	61.7%	#s(approx (- (exp (* x a)) 1) (.f64 (-.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)) a)) a))
	60.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)) a))
▶	17.6%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	66.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 646 to 464 computations (28.2% saved)

simplify134.0ms (2.2%)

Memory

-11.5MiB live, 122.3MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 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	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))) #s(literal 1 binary64))
cost-diff	1	(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
cost-diff	1	(neg.f64 (.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))))
cost-diff	1	(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x)
cost-diff	0	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
cost-diff	0	(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
cost-diff	0	(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
cost-diff	0	(*.f64 a x)
cost-diff	0	(fma.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)
cost-diff	0	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	338
0	75	332
1	158	325
2	438	322
3	1464	322
4	3982	322
0	8644	312

Stop Event

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

Calls

Call 1

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

localize722.0ms (11.6%)

Memory

-15.0MiB live, 316.2MiB allocated; 1.0s collecting garbage

Localize:

Found 20 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	0.0446989980306591	(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x))
accuracy	29.79238168155062	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
accuracy	0.05078125	(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	1.8714955136473583	(.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a)
accuracy	22.028428948527353	#s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a)))
accuracy	29.79238168155062	(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.05078125	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a)
accuracy	1.672730874102559	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x)
accuracy	22.365775208406482	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
accuracy	1.672730874102559	(.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x)
accuracy	7.404284202593062	(.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)
accuracy	22.365775208406482	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
accuracy	40.00403715639646	#s(approx (+ (* (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x))
accuracy	0.0625	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x)
accuracy	0.30859375	(*.f64 #s(literal 1/6 binary64) a)
accuracy	0.9509179511154211	(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a)
accuracy	21.60918009955963	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))

Samples

505.0ms	77×	1	valid
149.0ms	88×	2	valid
29.0ms	91×	0	valid

Compiler

Compiled 261 to 45 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 645.0ms

ival-mult: 504.0ms (78.2% of total)

ival-pow: 50.0ms (7.8% of total)

ival-exp: 29.0ms (4.5% of total)

adjust: 28.0ms (4.3% of total)

ival-add: 8.0ms (1.2% of total)

const: 7.0ms (1.1% of total)

ival-sub: 5.0ms (0.8% of total)

ival-expm1: 5.0ms (0.8% of total)

ival-neg: 5.0ms (0.8% of total)

ival-div: 4.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory

-13.8MiB live, 31.5MiB allocated; 5ms collecting garbage

Counts

25 → 85

Calls

Call 1

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

Calls

6 calls:

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

simplify157.0ms (2.5%)

Memory

5.1MiB live, 144.2MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	295	1199
1	1118	1127
2	4628	1043
0	8855	944

Stop Event

1×	iter limit
1×	node limit

Counts

85 → 83

Calls

Call 1

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

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

rewrite189.0ms (3%)

Memory

-25.8MiB live, 161.1MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	290
0	75	284
1	275	273
2	1892	273
0	8243	259

Stop Event

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

Counts

25 → 464

Calls

Call 1

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

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

eval72.0ms (1.2%)

Memory: 7.6MiB live, 96.4MiB allocated; 10ms collecting garbage
Compiler: Compiled 17 503 to 2 472 computations (85.9% saved)

prune22.0ms (0.3%)

Memory

43.0MiB live, 43.0MiB allocated; 0ms collecting garbage

Pruning

21 alts after pruning (10 fresh and 11 done)

	Pruned	Kept	Total
New	539	5	544
Fresh	3	5	8
Picked	1	4	5
Done	0	7	7
Total	543	21	564

Accuracy

99.9%

Counts

564 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.0%	(fma.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 x a)) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a)))) (expm1.f64 (.f64 x a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 4 binary64)) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	53.4%	(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) a) x)) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) x))) #s(literal 1 binary64))
	51.9%	(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (* (neg a) x)) (fma.f64 (neg.f64 a) x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	18.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	18.7%	(-.f64 #s(approx (exp (* a x)) (+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) #s(literal 1 binary64))) #s(literal 1 binary64))
	4.0%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (/.f64 x a)) a) a))) #s(literal 1 binary64))
✓	4.6%	(-.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))
✓	18.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 x a))
	65.1%	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 a x)))
	65.0%	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a))
✓	65.0%	#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
✓	66.2%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x) a))
	61.7%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) #s(approx (* (+ (* (* 1/6 a) x) 1/2) x) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) a))) x) a))
	61.7%	#s(approx (- (exp (* x a)) 1) (.f64 (-.f64 x (.f64 (neg.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) x)) a)) a))
	60.8%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)) a))
✓	17.6%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
✓	66.0%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Compiler

Compiled 995 to 472 computations (52.6% saved)

regimes42.0ms (0.7%)

Memory

-7.4MiB live, 46.8MiB allocated; 7ms collecting garbage

Counts

33 → 1

Calls

Call 1

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

12.0ms	x
8.0ms	a
8.0ms	(*.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)

regimes32.0ms (0.5%)

Memory

-9.7MiB live, 36.2MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

Calls

5 calls:

8.0ms	x
6.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
98.8%	2	`(*.f64 a x)`
98.8%	2	`(exp.f64 (*.f64 a x))`
98.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
80.5%	2	`a`
78.7%	2	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes15.0ms (0.2%)

Memory

17.3MiB live, 17.3MiB allocated; 0ms 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) (.f64 #s(approx (+ ( (* (* a a) x) 1/2) a) (.f64 (.f64 (*.f64 a a) #s(literal 1/2 binary64)) x)) x))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (fma.f64 (.f64 (.f64 x x) a) #s(literal 1/2 binary64) x)) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a x) a) #s(literal 1/2 binary64) a) x))
#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) a) x))
#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a))
#s(approx (- (/ 1 (exp (* (neg a) x))) 1) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (*.f64 a x)))
#s(approx (- (sqrt (pow (exp 2) (* x a))) 1) (.f64 (fma.f64 (.f64 (fma.f64 x x #s(literal 0 binary64)) a) #s(literal 1/2 binary64) x) a))
(-.f64 (/.f64 #s(literal 1 binary64) #s(approx (exp (* (neg a) x)) (fma.f64 (neg.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))
(-.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 (* x a)) 1) (fma.f64 a (.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) x)) (.f64 a x)))
(-.f64 #s(approx (exp (* a x)) (+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) x) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 a x) #s(approx (* (+ (* (* 1/6 a) x) 1/2) x) (.f64 #s(literal 1/6 binary64) (.f64 (*.f64 x x) a))) x) a))
(-.f64 #s(approx (exp (* a x)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))) a))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))

Outputs

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

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

Calls

3 calls:

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
98.6%	2	`(*.f64 a x)`
98.6%	2	`(exp.f64 (*.f64 a x))`
98.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes13.0ms (0.2%)

Memory

-30.8MiB live, 15.4MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 a x)`
98.6%	2	`(exp.f64 (*.f64 a x))`
98.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes17.0ms (0.3%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
4.0ms	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
66.0%	1	`x`
66.0%	1	`a`
66.0%	1	`(*.f64 a x)`
66.0%	1	`(exp.f64 (*.f64 a x))`
66.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes7.0ms (0.1%)

Memory

-33.0MiB live, 13.2MiB allocated; 2ms 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:

3.0ms	(exp.f64 (*.f64 a x))
1.0ms	a
1.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
18.3%	1	`x`
18.3%	1	`a`
18.3%	1	`(*.f64 a x)`
18.3%	1	`(exp.f64 (*.f64 a x))`
18.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.28554488584937776

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.28554488584937776

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0	-0.28554488584937776

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify45.0ms (0.7%)

Memory

8.7MiB live, 56.1MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	154
1	80	152
2	127	152
3	256	152
4	976	152

Stop Event

1×	node limit

Calls

Call 1

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

derivations1.1s (17.9%)

Memory

28.3MiB live, 830.1MiB allocated; 109ms 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
0	23	123
0	39	118
1	165	118
2	1177	115
0	8465	115
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	287	1225
1	1135	1130
2	4849	1062
0	8989	955
0	39	233
0	60	231
1	225	227
2	1614	227
0	8348	213
0	215	870
1	792	870
2	3000	770
0	8362	674
0	49	290
0	75	284
1	275	273
2	1892	273
0	8243	259

Stop Event

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

Compiler

Compiled 152 to 46 computations (69.7% saved)

preprocess42.0ms (0.7%)

Memory: 11.3MiB live, 56.6MiB allocated; 4ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 340 to 128 computations (62.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze75.0ms (1.2%)

sample754.0ms (12.2%)

explain80.0ms (1.3%)

preprocess133.0ms (2.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify109.0ms (1.8%)

localize18.0ms (0.3%)

series4.0ms (0.1%)

simplify229.0ms (3.7%)

rewrite280.0ms (4.5%)

eval136.0ms (2.2%)

prune10.0ms (0.2%)

simplify233.0ms (3.8%)

localize165.0ms (2.7%)

series11.0ms (0.2%)

simplify159.0ms (2.6%)

rewrite192.0ms (3.1%)

eval71.0ms (1.1%)

prune53.0ms (0.9%)

simplify190.0ms (3.1%)

localize157.0ms (2.5%)

series30.0ms (0.5%)

simplify154.0ms (2.5%)

rewrite177.0ms (2.8%)

eval64.0ms (1%)

prune59.0ms (0.9%)

simplify134.0ms (2.2%)

localize722.0ms (11.6%)

series33.0ms (0.5%)

simplify157.0ms (2.5%)

rewrite189.0ms (3%)

eval72.0ms (1.2%)

prune22.0ms (0.3%)

regimes42.0ms (0.7%)

regimes32.0ms (0.5%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes17.0ms (0.3%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify45.0ms (0.7%)

derivations1.1s (17.9%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling