Metrics for expax (section 3.5)

start0.0ms (0%)

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

analyze66.0ms (1.2%)

Memory

-14.1MiB live, 41.4MiB allocated; 31ms 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)

sample705.0ms (12.7%)

Memory

29.1MiB live, 707.4MiB allocated; 219ms collecting garbage

Samples

435.0ms	8 256×	0	valid
17.0ms	344×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 132.0ms (58.8% of total)

ival-expm1: 57.0ms (25.4% of total)

ival->: 23.0ms (10.2% of total)

exact: 7.0ms (3.1% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain92.0ms (1.6%)

Memory

-17.0MiB live, 82.9MiB allocated; 18ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	122	0

Confusion

	Predicted +	Predicted -
+	122	0
-	0	134

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	122	0	0
-	0	0	134

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	134
1	122

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

29.0ms

512×

valid

Compiler

Compiled 42 to 22 computations (47.6% saved)

Precisions

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

ival-expm1: 7.0ms (44.6% of total)

ival-exp: 4.0ms (25.5% of total)

ival-mult: 4.0ms (25.5% 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)

preprocess247.0ms (4.4%)

Memory

26.7MiB live, 113.4MiB allocated; 18ms collecting garbage

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify133.0ms (2.4%)

Memory

18.3MiB live, 114.1MiB allocated; 17ms collecting garbage

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)

localize133.0ms (2.4%)

Memory

-22.9MiB live, 21.4MiB allocated; 5ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 a x)
accuracy	0.006191259768442017	(exp.f64 (*.f64 a x))
accuracy	27.82966826319897	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

127.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (35.6% of total)

ival-mult: 2.0ms (35.6% of total)

ival-expm1: 2.0ms (35.6% 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)

series4.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify280.0ms (5%)

Memory

-3.4MiB live, 240.1MiB allocated; 166ms collecting garbage

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))

rewrite176.0ms (3.2%)

Memory

18.0MiB live, 207.0MiB allocated; 25ms 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)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a)) (/.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 x a))))) (/.f64 (.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x a))) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (sinh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 (.f64 x a)) (pow.f64 (exp.f64 x) a)) (.f64 (sinh.f64 (*.f64 x a)) (pow.f64 (exp.f64 x) a)))))))
(/.f64 (sqrt.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (sqrt.f64 (.f64 (pow.f64 (exp.f64 x) (neg.f64 a)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (sqrt.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (sqrt.f64 (.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64))) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) (sqrt.f64 (pow.f64 (exp.f64 x) (neg.f64 a))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (neg.f64 a)))
(fma.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (cosh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64) (.f64 (sinh.f64 (*.f64 x a)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x a))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 x a))))
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 x a)))
(-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))))
(-.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 (neg.f64 x) a)))
(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (exp.f64 x) (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 (pow.f64 (exp.f64 x) a))))
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 x) a)))
(fabs.f64 (pow.f64 (exp.f64 x) a))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)))) #s(literal 4 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 x a))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 x a))))
(+.f64 (.f64 (sinh.f64 (.f64 x a)) #s(literal 1 binary64)) (.f64 (cosh.f64 (.f64 x a)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))) (/.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(+.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))
(+.f64 (cosh.f64 (.f64 x a)) (sinh.f64 (.f64 x a)))
(exp.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 x a)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) a) (/.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 a (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64)))))
(exp.f64 (.f64 a (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 x a) #s(literal 1 binary64)))
(exp.f64 (*.f64 x a))
(.f64 (.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a)
(.f64 (/.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a)
(.f64 (/.f64 x #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(*.f64 x a)
(*.f64 a x)
(neg.f64 (*.f64 (neg.f64 x) a))
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 x #s(literal 2 binary64))) a #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) a #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 2 binary64)) a (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 x #s(literal 2 binary64)) a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (log.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(fma.f64 a (/.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 x #s(literal 2 binary64)) a))
(fma.f64 a x #s(literal 0 binary64))
(-.f64 (log.f64 (-.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)))) (log.f64 (-.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a)))))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a)) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (neg.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 x a))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x a)))))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fabs.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (fabs.f64 (-.f64 (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))) (cosh.f64 (.f64 #s(literal 2 binary64) (*.f64 x a)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (pow.f64 (exp.f64 x) (neg.f64 a)))))
(-.f64 (log.f64 (.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (.f64 x a))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 2 binary64)) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (sinh.f64 (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (.f64 x a)) #s(literal 3 binary64)))) (log.f64 (-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (.f64 x a))) (.f64 (sinh.f64 (.f64 x a)) (cosh.f64 (*.f64 x a))))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) a))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))) (log.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (log.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))))
(+.f64 (.f64 (/.f64 x #s(literal 2 binary64)) a) (.f64 (/.f64 x #s(literal 2 binary64)) a))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval67.0ms (1.2%)

Memory: 1.5MiB live, 97.3MiB allocated; 21ms collecting garbage
Compiler: Compiled 12 018 to 1 184 computations (90.1% saved)

prune41.0ms (0.7%)

Memory

-18.0MiB live, 27.7MiB allocated; 6ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

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

Accuracy

100.0%

Counts

396 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
▶	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	61.0%	#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))
	61.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	64.8%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 226 to 162 computations (28.3% saved)

simplify151.0ms (2.7%)

Memory

2.6MiB live, 229.4MiB allocated; 33ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
cost-diff	0	(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))
cost-diff	0	#s(approx (exp (* a x)) (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)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (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))) #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	26	212
0	47	212
1	94	212
2	285	212
3	1142	212
4	3344	212
5	7164	212
0	8261	212

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

localize134.0ms (2.4%)

Memory

4.8MiB live, 121.8MiB allocated; 24ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	1.8853363723747734	(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))
accuracy	3.6195473010085584	(fma.f64 (.f64 (.f64 a a) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x a)
accuracy	22.828764308792625	#s(approx (exp (* a x)) (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)))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	0.109375	(fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))
accuracy	22.863070928407694	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64)))
accuracy	27.82966826319897	(-.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	22.93380819149201	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	23.107138031081956	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x a)
accuracy	0.015625	(expm1.f64 (*.f64 x a))

Samples

118.0ms

256×

valid

Compiler

Compiled 155 to 26 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-add: 64.0ms (62.1% of total)

ival-mult: 30.0ms (29.1% of total)

const: 4.0ms (3.9% of total)

ival-expm1: 3.0ms (2.9% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-20.2MiB live, 24.7MiB allocated; 5ms collecting garbage

Counts

16 → 59

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a))
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* x a) (- (exp (* a x)) 1) (exp (* a x)) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (+ (* (* 1/2 a) x) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) x) 1) (+ (* (* (* a a) (+ (* (* x a) 1/6) 1/2)) x) a) (* 1/2 a))

simplify219.0ms (3.9%)

Memory

15.3MiB live, 152.6MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	869
1	774	849
2	3243	801
0	8633	731

Stop Event

1×	iter limit
1×	node limit

Counts

59 → 58

Calls

Call 1

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

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

rewrite215.0ms (3.9%)

Memory

-7.1MiB live, 140.4MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	172
0	47	172
1	218	172
2	1668	172
0	8438	172

Stop Event

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

Counts

16 → 291

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

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

eval54.0ms (1%)

Memory: 12.3MiB live, 56.8MiB allocated; 6ms collecting garbage
Compiler: Compiled 17 440 to 1 799 computations (89.7% saved)

prune13.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	363	6	369
Fresh	2	1	3
Picked	0	5	5
Done	0	0	0
Total	365	12	377

Accuracy

100.0%

Counts

377 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
	4.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	18.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	61.0%	#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))
▶	63.7%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	64.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	61.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 372 to 262 computations (29.6% saved)

simplify264.0ms (4.7%)

Memory

-3.4MiB live, 136.2MiB allocated; 16ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
cost-diff	0	#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
cost-diff	0	(.f64 (.f64 a a) x)
cost-diff	0	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
cost-diff	0	(*.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	38	267
0	62	267
1	120	267
2	354	267
3	1307	267
4	3414	267
5	6820	267
0	8563	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 (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(.f64 (.f64 a a) x)
(*.f64 a a)
a
x
#s(literal 1/2 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
(fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 a x)
a
x
#s(literal 1 binary64)
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
#s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
(neg.f64 a)
a
(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))
(neg.f64 x)
x
(/.f64 #s(literal 1 binary64) a)
#s(literal 1 binary64)
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/6 binary64) a)
#s(literal 1/6 binary64)
a
#s(literal 1/2 binary64)

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

localize136.0ms (2.4%)

Memory

6.1MiB live, 95.8MiB allocated; 10ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.38144143727060675	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
accuracy	1.4441510938372264	(.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	4.534576065611684	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	22.3754500626272	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	0.01171875	(-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))
accuracy	0.08203125	(*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))
accuracy	22.93380819149201	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a)))))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
accuracy	0.0	(*.f64 a x)
accuracy	0.0625	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
accuracy	1.932222111784125	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
accuracy	23.220591081333986	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
accuracy	0.00390625	(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
accuracy	1.932222111784125	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	6.153187905961557	(.f64 (.f64 a a) x)
accuracy	23.220591081333986	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0.0	(*.f64 a x)
accuracy	22.559117524880108	#s(approx (- (exp (* x a)) 1) (*.f64 a x))

Samples

114.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 196 to 35 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-mult: 44.0ms (68.3% of total)

ival-add: 6.0ms (9.3% of total)

const: 4.0ms (6.2% of total)

ival-expm1: 3.0ms (4.7% of total)

ival-div: 2.0ms (3.1% of total)

ival-exp: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

adjust: 1.0ms (1.6% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

16.0MiB live, 16.0MiB allocated; 0ms collecting garbage

Counts

19 → 72

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (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)) (- (neg x) (/ 1 a)))
3.0ms	x	@	-inf	((- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (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)) (- (neg x) (/ 1 a)))
3.0ms	x	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (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)) (- (neg x) (/ 1 a)))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (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)) (- (neg x) (/ 1 a)))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (* (+ (* (* (* a a) x) 1/2) a) x) (+ (* (* (* a a) x) 1/2) a) (* (* a a) x) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (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)) (- (neg x) (/ 1 a)))

simplify251.0ms (4.5%)

Memory

-14.6MiB live, 272.4MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	208	842
1	771	810
2	3045	782
0	8551	710

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 70

Calls

Call 1

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

rewrite210.0ms (3.8%)

Memory

22.9MiB live, 288.3MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	226
0	62	226
1	235	226
2	1531	226
0	8162	215

Stop Event

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

Counts

19 → 419

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(.f64 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (fabs.f64 (.f64 x #s(literal 1 binary64))))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (fabs.f64 (.f64 a #s(literal 1 binary64))))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (fabs.f64 (*.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (fabs.f64 (*.f64 a #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(sqrt.f64 (pow.f64 (*.f64 a x) #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 a x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 a x)) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 a x)) (sinh.f64 (*.f64 a x)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (neg.f64 (*.f64 a x)))))
(fabs.f64 (neg.f64 (*.f64 a x)))
(fabs.f64 (*.f64 a x))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 a) x))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) x))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) x)
(.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x)) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (*.f64 a x)))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))) (pow.f64 (.f64 a x) #s(literal 2 binary64))) (-.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) 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 a x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))) (-.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) 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 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) #s(literal 3 binary64)) (pow.f64 (.f64 a x) #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (-.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) 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 (+.f64 (pow.f64 (.f64 a x) #s(literal 3 binary64)) (pow.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))) (.f64 (.f64 a x) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 a #s(literal 4 binary64)) (.f64 (neg.f64 a) a)) x)) (neg.f64 (-.f64 (.f64 #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 (neg.f64 a) 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 (neg.f64 a) 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 (neg.f64 a) 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 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x (.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))))
(fma.f64 a (fabs.f64 (.f64 x #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 a (fabs.f64 (.f64 x #s(literal 1 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))))
(fma.f64 a x (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x))
(fma.f64 a x (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
(fma.f64 x (fabs.f64 (.f64 a #s(literal 1 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 x (fabs.f64 (.f64 a #s(literal 1 binary64))) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x))))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) x))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) 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))
(fma.f64 x a (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))))
(+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) x) (*.f64 a x))
(+.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (*.f64 a x))
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(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 #s(literal 1/6 binary64) a) x) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 (.f64 x x) #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 (.f64 #s(literal 1/6 binary64) a) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x x) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(fma.f64 x (.f64 (.f64 #s(literal 1/6 binary64) a) (.f64 x x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 x (.f64 (.f64 #s(literal 1/6 binary64) a) x)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 x (.f64 #s(literal 1/2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) a)))
(-.f64 (/.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 #s(literal -1/2 binary64) (.f64 x x)))
(-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/2 binary64)))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 #s(literal 1/216 binary64) (pow.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (*.f64 x x) #s(literal 1/2 binary64)))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 1/6 binary64) a)) (.f64 (.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))) (.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))) (.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (fma.f64 (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (fma.f64 (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)) (pow.f64 a #s(literal -2 binary64)))) (.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))) (pow.f64 a #s(literal -3 binary64)))) (*.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 a #s(literal -2 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 a #s(literal -3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (pow.f64 a #s(literal -2 binary64)) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))) (/.f64 (pow.f64 a #s(literal -3 binary64)) (fma.f64 x x (fma.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x) (pow.f64 a #s(literal -2 binary64))))))
(-.f64 (neg.f64 x) (pow.f64 a #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 x x) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))) (/.f64 (.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (pow.f64 a #s(literal -1 binary64))) (+.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 x))))

eval82.0ms (1.5%)

Memory: -13.1MiB live, 81.6MiB allocated; 40ms collecting garbage
Compiler: Compiled 19 365 to 2 219 computations (88.5% saved)

prune13.0ms (0.2%)

Memory

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

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	486	2	488
Fresh	0	2	2
Picked	1	4	5
Done	0	5	5
Total	487	13	500

Accuracy

100.0%

Counts

500 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	4.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
▶	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
▶	18.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
▶	16.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	61.0%	#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))
✓	63.7%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	64.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
✓	61.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 243 to 173 computations (28.8% saved)

simplify100.0ms (1.8%)

Memory

-4.7MiB live, 88.1MiB allocated; 9ms collecting garbage

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	436
0	66	436
1	109	436
2	231	436
3	674	436
4	2021	426
5	5659	426
0	8302	398

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (2.3%)

Memory

6.9MiB live, 102.9MiB allocated; 47ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	11.537737317229585	(.f64 (fma.f64 (.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x)
accuracy	22.863070928407694	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x)))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
accuracy	39.631883314284245	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))
accuracy	12.427026060524176	(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a)
accuracy	22.863070928407694	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a)))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
accuracy	39.631883314284245	#s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))
accuracy	0.01171875	(-.f64 (/.f64 #s(literal -1 binary64) a) x)
accuracy	0.0859375	(*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))
accuracy	22.93380819149201	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x))))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
accuracy	0.0859375	(*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))
accuracy	22.93380819149201	#s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a)))))
accuracy	23.396614251831142	#s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))
accuracy	27.82966826319897	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))

Samples

107.0ms

256×

valid

Compiler

Compiled 209 to 37 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-mult: 46.0ms (68.9% of total)

ival-div: 7.0ms (10.5% of total)

ival-add: 5.0ms (7.5% of total)

ival-exp: 2.0ms (3% of total)

ival-expm1: 2.0ms (3% of total)

ival-sub: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory

-33.6MiB live, 13.5MiB allocated; 7ms collecting garbage

Counts

18 → 46

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	a	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
2.0ms	a	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
2.0ms	x	@	-inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
2.0ms	a	@	0	((- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg x) (/ 1 a)) (- (/ -1 a) x))
1.0ms	x	@	inf	((- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (neg x) (/ 1 a))) (- (exp (* a x)) 1) (exp (* a x)) (+ (* x a) 1) (* (neg a) (- (/ -1 a) x)) (* (+ (* (* 1/2 x) x) (/ x a)) a) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (* (+ (* (* a a) 1/2) (/ a x)) x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (- (neg x) (/ 1 a)) (- (/ -1 a) x))

simplify129.0ms (2.3%)

Memory

20.3MiB live, 110.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	457
1	499	457
2	1692	440
3	6008	440
0	8103	394

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 44

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

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

rewrite164.0ms (2.9%)

Memory

6.2MiB live, 142.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	359
0	66	359
1	240	359
2	1680	359
0	8637	341

Stop Event

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

Counts

18 → 137

Calls

Call 1

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

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

eval385.0ms (6.9%)

Memory: -62.6MiB live, 24.9MiB allocated; 931ms collecting garbage
Compiler: Compiled 8 962 to 815 computations (90.9% saved)

prune23.0ms (0.4%)

Memory

36.1MiB live, 36.1MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (1 fresh and 12 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	1	3	4
Done	0	9	9
Total	162	13	175

Accuracy

100.0%

Counts

175 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
✓	20.3%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64)) (.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
	4.5%	(-.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))
✓	18.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) x)))) #s(literal 1 binary64))
✓	16.8%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
✓	19.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	61.0%	#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))
✓	63.7%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	64.8%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
✓	61.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))

Compiler

Compiled 573 to 277 computations (51.7% saved)

regimes30.0ms (0.5%)

Memory

-28.0MiB live, 39.3MiB allocated; 11ms collecting garbage

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	a
5.0ms	x
5.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes46.0ms (0.8%)

Memory

-17.8MiB live, 28.4MiB allocated; 3ms 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 (* 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 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) #s(approx (- (neg x) (/ 1 a)) (/.f64 #s(literal -1 binary64) a))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (/.f64 #s(literal -1 binary64) a) 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))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* x a) 1) (*.f64 (neg.f64 a) (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) a))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a x) a))
#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (*.f64 a a) #s(literal 1/2 binary64) (/.f64 a x)) x) x))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))

Outputs

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

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

Calls

5 calls:

28.0ms	(exp.f64 (*.f64 a x))
4.0ms	x
4.0ms	a
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
66.5%	2	`(*.f64 a x)`
66.5%	2	`(exp.f64 (*.f64 a x))`
66.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.4%	2	`a`
66.5%	2	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
66.5%	2	`x`
64.8%	1	`(*.f64 a x)`
64.8%	1	`(exp.f64 (*.f64 a x))`
64.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes9.0ms (0.2%)

Memory

11.6MiB live, 11.6MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
64.8%	1	`(exp.f64 (*.f64 a x))`
64.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.8%	1	`a`
64.8%	1	`x`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
19.8%	1	`(*.f64 a x)`
19.8%	1	`a`
19.8%	1	`x`
19.8%	1	`(exp.f64 (*.f64 a x))`
19.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9988379594598614	-0.11496984370031993

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch15.0ms (0.3%)

Memory

-30.0MiB live, 16.6MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.3354125804786056e+236	7.296279023472681e+254

Samples

6.0ms

160×

valid

Compiler

Compiled 409 to 319 computations (22% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (41.7% of total)

ival-expm1: 1.0ms (41.7% of total)

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

adjust: 0.0ms (0% of total)

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

simplify55.0ms (1%)

Memory

9.6MiB live, 53.1MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	125
1	76	125
2	134	125
3	333	125
4	1122	125
5	3460	125
6	7261	125

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 -1/2 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)))
(if (<=.f64 x #s(literal 3100000000000000098755326432142288321736953281475326322225790919951504914516433367584317250509129211999770961441458659985271768256937384745222296769169004154896412977286965967540240540002782809247984333144714980321351295547913998513257578496 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 x a)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
#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 -1/2 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) x (/.f64 x a)) a) a))) #s(literal 1 binary64)) #s(approx (- (exp ( x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)))
(if (<=.f64 x #s(literal 3100000000000000098755326432142288321736953281475326322225790919951504914516433367584317250509129211999770961441458659985271768256937384745222296769169004154896412977286965967540240540002782809247984333144714980321351295547913998513257578496 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 x a)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 3100000000000000098755326432142288321736953281475326322225790919951504914516433367584317250509129211999770961441458659985271768256937384745222296769169004154896412977286965967540240540002782809247984333144714980321351295547913998513257578496 binary64)) #s(approx (- (exp (* x a)) 1) (.f64 x a)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* 1/2 a) x) 1) (* x a)) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)))
#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))

derivations691.0ms (12.4%)

Memory

10.8MiB live, 432.8MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	236	201
2	889	193
3	3196	193
4	5768	193
0	8321	168
0	6	13
0	9	13
1	31	13
2	177	13
3	1792	13
0	8079	11
0	134	457
1	499	457
2	1692	440
3	6008	440
0	8103	394
0	212	869
1	774	849
2	3243	801
0	8633	731

Stop Event

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

Compiler

Compiled 125 to 49 computations (60.8% saved)

preprocess33.0ms (0.6%)

Memory: -5.3MiB live, 39.8MiB allocated; 5ms collecting garbage
Remove: (sort a x)
Compiler: Compiled 286 to 134 computations (53.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze66.0ms (1.2%)

sample705.0ms (12.7%)

explain92.0ms (1.6%)

preprocess247.0ms (4.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify133.0ms (2.4%)

localize133.0ms (2.4%)

series4.0ms (0.1%)

simplify280.0ms (5%)

rewrite176.0ms (3.2%)

eval67.0ms (1.2%)

prune41.0ms (0.7%)

simplify151.0ms (2.7%)

localize134.0ms (2.4%)

series15.0ms (0.3%)

simplify219.0ms (3.9%)

rewrite215.0ms (3.9%)

eval54.0ms (1%)

prune13.0ms (0.2%)

simplify264.0ms (4.7%)

localize136.0ms (2.4%)

series19.0ms (0.3%)

simplify251.0ms (4.5%)

rewrite210.0ms (3.8%)

eval82.0ms (1.5%)

prune13.0ms (0.2%)

simplify100.0ms (1.8%)

localize130.0ms (2.3%)

series15.0ms (0.3%)

simplify129.0ms (2.3%)

rewrite164.0ms (2.9%)

eval385.0ms (6.9%)

prune23.0ms (0.4%)

regimes30.0ms (0.5%)

regimes46.0ms (0.8%)

regimes14.0ms (0.3%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.3%)

simplify55.0ms (1%)

derivations691.0ms (12.4%)

preprocess33.0ms (0.6%)

end0.0ms (0%)

Profiling