Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze19.0ms (0.5%)

Memory

-6.4MiB live, 32.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample647.0ms (17.3%)

Memory

10.6MiB live, 711.3MiB allocated

Samples

398.0ms	8 256×	0	valid
16.0ms	335×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-mult: 100.0ms (54.1% of total)

ival-expm1: 51.0ms (27.6% of total)

ival->: 23.0ms (12.4% of total)

exact: 7.0ms (3.8% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain89.0ms (2.4%)

Memory

20.3MiB live, 97.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
133	41	(-1.1819495983903428e-277 4.959259093684135e-234)	7	(1.782205443841783e-146 7.915419274754223e-166)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
0	0	-	0	-	`a`
0	0	-	0	-	`(exp.f64 (*.f64 a x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(*.f64 a x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	167	0

Confusion

	Predicted +	Predicted -
+	126	7
-	41	82

Precision

0.7544910179640718

Recall

0.9473684210526315

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	7
-	41	0	82

Precision?

0.7544910179640718

Recall?

0.9473684210526315

Freqs

test

number	freq
0	89
1	167

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

512×

valid

Compiler

Compiled 74 to 35 computations (52.7% saved)

Precisions

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

ival-exp: 4.0ms (34.7% of total)

ival-mult: 4.0ms (34.7% of total)

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

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

exact: 0.0ms (0% of total)

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

preprocess22.0ms (0.6%)

Memory

-27.1MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 6 to 6 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.4%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-6144	(exp.f64 (*.f64 a x))
cost-diff	0	(*.f64 a x)
cost-diff	6336	(-.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	20	16
0	20	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.4%)

Memory

16.9MiB live, 16.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0	(exp.f64 (*.f64 a x))
accuracy	30.473011287442947	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

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

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

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

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(*.f64 a x)
(exp.f64 (*.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) (* a x) (exp (* a x)))
1.0ms	a	@	0	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
0.0ms	x	@	-inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
0.0ms	a	@	inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))
0.0ms	a	@	-inf	((- (exp (* a x)) 1) (* a x) (exp (* a x)))

simplify215.0ms (5.7%)

Memory

-14.3MiB live, 61.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	201
1	195	201
2	526	193
3	1045	193
4	1672	193
5	1873	193
6	1900	193
7	1920	193
8	1934	193
9	1937	193
10	1937	193
11	2619	189
12	3094	189
13	4061	189
14	4062	189
15	4062	189
16	4190	189
17	4190	189
18	6071	185
19	6279	185
20	6321	185
21	6335	185
22	6335	185
23	6511	185
24	6849	185
25	6849	185
26	7408	185
0	7408	160

Stop Event

1×	iter limit
1×	saturated

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

rewrite79.0ms (2.1%)

Memory

10.7MiB live, 48.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval47.0ms (1.3%)

Memory: -20.4MiB live, 32.3MiB allocated
Compiler: Compiled 2 806 to 340 computations (87.9% saved)

prune5.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Accuracy

100.0%

Counts

122 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	69.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
▶	63.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	69.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 144 to 110 computations (23.6% saved)

simplify10.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
0	31	108
1	52	108
2	75	108
3	115	108
4	157	108
5	173	108
6	192	108
7	192	108
8	259	108
9	261	108
0	261	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize52.0ms (1.4%)

Memory

-27.9MiB live, 47.0MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a a)
accuracy	0.48558782532254235	(.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x)
accuracy	7.000561262934727	(.f64 (.f64 a a) x)
accuracy	20.342258180212493	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
accuracy	0	(fma.f64 x a #s(literal 1 binary64))
accuracy	20.08821620306043	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	30.473011287442947	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	19.707364414380585	#s(approx (- (exp (* a x)) 1) (*.f64 x a))
accuracy	20.045437164112418	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.473011287442947	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	0	(expm1.f64 (*.f64 x a))

Samples

30.0ms

256×

valid

Compiler

Compiled 202 to 38 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 9.0ms (48.5% of total)

ival-expm1: 5.0ms (27% of total)

ival-exp: 2.0ms (10.8% of total)

ival-add: 2.0ms (10.8% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.2%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

13 → 31

Calls

Call 1

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

Calls

6 calls:

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

simplify203.0ms (5.4%)

Memory

32.7MiB live, 188.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	313
1	318	313
2	815	305
3	2488	305
4	6781	305
0	8368	269

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

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

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

rewrite196.0ms (5.2%)

Memory

-9.7MiB live, 144.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	98
0	31	94
1	121	94
2	727	94
3	6903	94
0	8442	94

Stop Event

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

Counts

13 → 554

Calls

Call 1

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

Outputs
(.f64 (/.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a)) (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))) (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (exp.f64 a) x) (expm1.f64 (*.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (-.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a)) (pow.f64 (exp.f64 a) x)))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (+.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))))) (fma.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (exp.f64 (.f64 (*.f64 a x) #s(literal 4 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (expm1.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x)))
(.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (expm1.f64 (.f64 a x)))
(.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a)))
(.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a)))
(.f64 (neg.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a))) (pow.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (/.f64 (expm1.f64 (.f64 a x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (.f64 (expm1.f64 (*.f64 a x)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (pow.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))) (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 a x) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 #s(literal 3 binary64) x) a)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))) (.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (/.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 (*.f64 #s(literal 2 binary64) x) a)) #s(literal 1 binary64)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x)) (-.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)) (+.f64 (+.f64 (exp.f64 (.f64 (*.f64 a x) #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))) (+.f64 (pow.f64 (exp.f64 a) (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 6 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (exp.f64 (.f64 (*.f64 a x) #s(literal 6 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 9 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (exp.f64 a) (.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64)) (exp.f64 (.f64 (.f64 a x) #s(literal 6 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a))) (neg.f64 (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)))))
(/.f64 (neg.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 2 binary64) x) a)) (-.f64 (pow.f64 (exp.f64 a) x) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal -1 binary64))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x)))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (-.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 a) x))))
(/.f64 (expm1.f64 (.f64 (.f64 #s(literal 3 binary64) x) a)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 a) #s(literal 2 binary64)) x) (pow.f64 (exp.f64 a) x)) #s(literal 1 binary64)))
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(/.f64 (fma.f64 (neg.f64 a) a (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))) (.f64 a a))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x))) (fma.f64 a a (.f64 #s(literal -1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) a (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))) (.f64 a a)))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) a (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x (pow.f64 a #s(literal 3 binary64))) (.f64 a a))))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64))) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) a (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (*.f64 a x) a)
(fma.f64 (pow.f64 a #s(literal 1/2 binary64)) (pow.f64 a #s(literal 1/2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(fma.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) x)) (/.f64 (.f64 (.f64 a a) x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) a a)
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (pow.f64 a #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/2 binary64) x) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) a) x a)
(fma.f64 (.f64 #s(literal 1/2 binary64) a) (.f64 a x) a)
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))))
(fma.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))))
(fma.f64 (pow.f64 a #s(literal 4 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a a) a)
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a) #s(literal -1 binary64)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) #s(literal 1 binary64) a)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x) a)
(fma.f64 (.f64 (.f64 a a) x) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) x)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a)
(fma.f64 (.f64 a a) (/.f64 (.f64 (.f64 (pow.f64 (.f64 a x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)))))
(fma.f64 (.f64 a a) (.f64 #s(literal 1/2 binary64) x) a)
(fma.f64 #s(literal 1 binary64) a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(fma.f64 (.f64 a x) (.f64 #s(literal 1/2 binary64) a) a)
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) a) x) a)
(fma.f64 a #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) a) a) a)
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) #s(literal 2 binary64)) (-.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)))))
(-.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))) (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))))
(+.f64 (.f64 (pow.f64 (.f64 (.f64 a a) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a))) (neg.f64 (.f64 a (/.f64 a (-.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) x)) a)))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)) a)
(+.f64 a (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (*.f64 a a) x) a) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 a a) x) #s(literal 1 binary64))
(.f64 (.f64 a a) x)
(.f64 #s(literal 1 binary64) (.f64 (*.f64 a a) x))
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval289.0ms (7.7%)

Memory: -55.0MiB live, 106.5MiB allocated
Compiler: Compiled 19 115 to 1 867 computations (90.2% saved)

prune12.0ms (0.3%)

Memory

30.3MiB live, 30.3MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	612	2	614
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	613	7	620

Accuracy

100.0%

Counts

620 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
▶	68.1%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) (.f64 a x) (.f64 a x)))
▶	69.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
✓	69.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 91 to 68 computations (25.3% saved)

simplify62.0ms (1.7%)

Memory

-24.0MiB live, 52.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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 #s(literal 1/2 binary64) a)
cost-diff	0	(.f64 (.f64 #s(literal 1/2 binary64) a) x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) (.f64 a x) (.f64 a x)))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) (.f64 a x) (.f64 a x))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
cost-diff	0	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
cost-diff	0	(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	166
0	44	162
1	85	162
2	168	162
3	322	162
4	707	162
5	1051	162
6	1519	162
7	1927	162
8	2123	162
9	2151	162
10	2346	162
11	2393	162
12	2402	162
13	2402	162
14	2581	162
0	2581	156

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize91.0ms (2.4%)

Memory

-6.1MiB live, 76.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.05859375	(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a x) #s(literal 1 binary64)) a)
accuracy	0.48558782532254235	(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x)
accuracy	20.342258180212493	#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	(*.f64 a x)
accuracy	0	(*.f64 #s(literal 1/2 binary64) a)
accuracy	5.252285009768443	(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) (.f64 a x) (.f64 a x))
accuracy	20.342258180212493	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) a) x) (.f64 a x) (.f64 a x)))
accuracy	0.0546875	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.4976684127414925	(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	19.760834153466387	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))

Samples

68.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 304 to 54 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

const: 28.0ms (50.1% of total)

ival-mult: 19.0ms (34% of total)

ival-add: 4.0ms (7.2% of total)

ival-expm1: 3.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.5%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

14 → 51

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (+ (* (* (* 1/2 a) x) (* a x)) (* a x)) (- (exp (* a x)) 1) (* (* 1/2 a) x) (* 1/2 a) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* 1/6 x) (* a x))
3.0ms	a	@	0	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (+ (* (* (* 1/2 a) x) (* a x)) (* a x)) (- (exp (* a x)) 1) (* (* 1/2 a) x) (* 1/2 a) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* 1/6 x) (* a x))
3.0ms	a	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (+ (* (* (* 1/2 a) x) (* a x)) (* a x)) (- (exp (* a x)) 1) (* (* 1/2 a) x) (* 1/2 a) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* 1/6 x) (* a x))
3.0ms	x	@	-inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (+ (* (* (* 1/2 a) x) (* a x)) (* a x)) (- (exp (* a x)) 1) (* (* 1/2 a) x) (* 1/2 a) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* 1/6 x) (* a x))
2.0ms	a	@	inf	((- (exp (* a x)) 1) (* (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* x a)) (+ (* (* (+ (* (* 1/6 x) a) 1/2) a) x) 1) (* (+ (* (* 1/6 x) a) 1/2) a) (+ (* (* (* 1/2 a) x) (* a x)) (* a x)) (- (exp (* a x)) 1) (* (* 1/2 a) x) (* 1/2 a) (- (exp (* x a)) 1) (* (* (+ (* 1/2 (* a x)) 1) a) x) (* (+ (* 1/2 (* a x)) 1) a) (+ (* 1/2 (* a x)) 1) (* 1/6 x) (* a x))

simplify143.0ms (3.8%)

Memory

-15.3MiB live, 138.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	596
1	615	583
2	1897	557
3	4792	556
0	8171	499

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 50

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

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

rewrite200.0ms (5.3%)

Memory

-2.8MiB live, 154.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	142
0	44	138
1	159	138
2	932	138
0	8643	132

Stop Event

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

Counts

14 → 512

Calls

Call 1

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

Outputs
#s(approx (- (exp (* x a)) 1) (.f64 (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))) x))
(.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) a) (pow.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) a) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal -1 binary64)))
(.f64 (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x) a)
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 x a)))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) #s(literal -1 binary64)) (.f64 x a)))
(.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a))
(.f64 x (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
(.f64 x (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) a))
(.f64 a (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 x a)))
(/.f64 (-.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))))) (-.f64 (.f64 x a) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x a) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (-.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 x a)))))
(/.f64 (+.f64 (pow.f64 (.f64 x a) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))) (.f64 (.f64 x a) (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) a)) (neg.f64 (fma.f64 (.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) a)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
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(/.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x a) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(/.f64 (.f64 x a) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x a) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 2 binary64)) #s(literal 1 binary64)))))
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(fma.f64 (.f64 (.f64 x a) (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)))) a (*.f64 x a))
(fma.f64 (.f64 (.f64 x a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a)) x (*.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) a) x (*.f64 x a))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) (.f64 (.f64 x a) a) (*.f64 x a))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) (.f64 (.f64 x a) a) (*.f64 x a))
(fma.f64 (.f64 (.f64 x a) a) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) (*.f64 x a))
(fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) x) a (*.f64 x a))
(fma.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) #s(literal 1 binary64) (.f64 x a))
(fma.f64 (.f64 (.f64 x a) x) (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (*.f64 x a))
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(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) (.f64 x a) (*.f64 x a))
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(fma.f64 #s(literal 1 binary64) a (.f64 (.f64 (*.f64 x a) #s(literal 1/2 binary64)) a))
(fma.f64 x (.f64 (.f64 #s(literal 1/2 binary64) a) a) a)
(fma.f64 a (.f64 (.f64 x a) #s(literal 1/2 binary64)) a)
(fma.f64 a #s(literal 1 binary64) (.f64 (.f64 (*.f64 x a) #s(literal 1/2 binary64)) a))
(+.f64 (.f64 (.f64 (*.f64 x a) #s(literal 1/2 binary64)) a) a)
(+.f64 a (.f64 (.f64 (*.f64 x a) #s(literal 1/2 binary64)) a))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x a) #s(literal 1/2 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))
(.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x a) #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x a) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (.f64 (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x a) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (.f64 x a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))))) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 6 binary64)) #s(literal 1/64 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x a) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 (.f64 x a) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x a) #s(literal 6 binary64)) #s(literal 1/64 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x a) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x a)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x a)) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)) x #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) a #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) a #s(literal 1 binary64))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 a (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64))) (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 x a) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) x) a)
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(*.f64 x a)
(*.f64 a x)
(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 0 binary64))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 a) x))

eval57.0ms (1.5%)

Memory: -2.0MiB live, 72.1MiB allocated
Compiler: Compiled 14 564 to 1 831 computations (87.4% saved)

prune9.0ms (0.2%)

Memory

23.8MiB live, 23.7MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	462	1	463
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	463	7	470

Accuracy

100.0%

Counts

470 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	69.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
▶	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a))
✓	69.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 89 to 69 computations (22.5% saved)

simplify7.0ms (0.2%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	17	48
1	32	48
2	56	48
3	113	48
4	211	48
5	259	48
0	259	46

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.8%)

Memory

-15.6MiB live, 29.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x a)
accuracy	0.015625	(.f64 (fma.f64 (.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
accuracy	1.66869749700601	(.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a)
accuracy	20.342258180212493	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a))

Samples

21.0ms

256×

valid

Compiler

Compiled 90 to 26 computations (71.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (73.8% of total)

ival-add: 1.0ms (7.4% of total)

ival-expm1: 1.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

5 → 25

Calls

Call 1

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

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

Calls

6 calls:

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

simplify245.0ms (6.6%)

Memory

12.0MiB live, 166.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	248
1	308	248
2	777	244
3	2383	244
4	5403	244
0	8288	218

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 24

Calls

Call 1

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

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

rewrite176.0ms (4.7%)

Memory

9.0MiB live, 166.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	17	44
1	55	44
2	335	44
3	3210	44
0	9087	42

Stop Event

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

Counts

5 → 354

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x a) (fma.f64 #s(literal 1/4 binary64) (*.f64 x a) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a) (-.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (.f64 x a))))
(.f64 (/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x a) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (.f64 x a) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x) a)
(.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a) (pow.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (*.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a) x)
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x a) (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x a)))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 x a) (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x a)))
(.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) (*.f64 x a))
(.f64 (.f64 x a) (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) a))
(.f64 a (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x a) #s(literal 1 binary64)) x))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64))) (.f64 x a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 x a))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x a))) (neg.f64 (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 a (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) x))) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 a (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x))) (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a))) (neg.f64 (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64))) (.f64 x a)) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64))) (.f64 x a)) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x a)) (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 x a) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x a) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x a) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x a) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x a) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 a (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) x)) (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 a (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x)) (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 x a)) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a))) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a)) (neg.f64 (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)) (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 3 binary64)) x x) a) (fma.f64 (.f64 x a) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x a)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x a) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 x a)))))
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(-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64))))
(-.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 (.f64 x a) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 x a) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x a) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) a)
(.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 #s(literal 1/2 binary64) x)) a)
(.f64 (.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 2 binary64) a))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(*.f64 a x)
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (.f64 x a))) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 (.f64 x a))) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) (exp.f64 (log.f64 a)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) (exp.f64 (log.f64 a)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) a))) (exp.f64 (log.f64 x)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) a))) (exp.f64 (log.f64 x)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) a))) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) a))) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (exp.f64 (log.f64 (.f64 x a))) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 (.f64 x a))) (exp.f64 (log.f64 #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 1/2 binary64) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 a #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (pow.f64 a #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 a #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) a (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) x)) a (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) x) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) a) (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x)) a #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) x)) a #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 a #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 2 binary64) a) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) a (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) a (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) x (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) a) x (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 #s(literal 1/2 binary64) (.f64 x a) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (.f64 x a) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (.f64 x a) #s(literal 1/2 binary64) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 (.f64 x a) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 x (.f64 #s(literal 1/2 binary64) a) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 x a #s(literal 0 binary64))
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(fma.f64 a (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(fma.f64 a (.f64 #s(literal 1/2 binary64) x) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 x a)) #s(literal 1 binary64))))
(fma.f64 a (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (*.f64 x a)))
(fma.f64 a x #s(literal 0 binary64))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)))) (.f64 #s(literal 1/2 binary64) (.f64 x 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 #s(literal 0 binary64) (*.f64 x a))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (log.f64 (.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 x a)) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 x a)) (.f64 #s(literal 1/2 binary64) (.f64 x a)))
(+.f64 (*.f64 x a) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))

eval80.0ms (2.1%)

Memory: -18.0MiB live, 57.2MiB allocated
Compiler: Compiled 10 851 to 1 704 computations (84.3% saved)

prune9.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	366	0	366
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	366	7	373

Accuracy

100.0%

Counts

373 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	68.2%	#s(approx (- (exp (* x a)) 1) (.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a x) #s(literal 1 binary64)) a) x))
✓	69.1%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (.f64 x a)))
✓	68.2%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (*.f64 x a) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) a))
✓	69.2%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 220 to 115 computations (47.7% saved)

regimes31.0ms (0.8%)

Memory

-20.5MiB live, 18.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

18.0ms	(*.f64 a x)
4.0ms	a
3.0ms	x
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes14.0ms (0.4%)

Memory

16.7MiB live, 16.7MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
69.2%	1	`a`
69.2%	1	`x`
69.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.2%	1	`(exp.f64 (*.f64 a x))`
69.2%	1	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes41.0ms (1.1%)

Memory

-34.0MiB live, 9.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
20.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.8%	1	`(exp.f64 (*.f64 a x))`
20.8%	1	`(*.f64 a x)`
20.8%	1	`a`
20.8%	1	`x`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify21.0ms (0.6%)

Memory

28.4MiB live, 28.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	17	22
2	21	22
3	24	22
4	27	22
5	30	22

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness562.0ms (15%)

Memory

-17.0MiB live, 135.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	63	201
1	195	201
2	526	193
3	1045	193
4	1672	193
5	1873	193
6	1900	193
7	1920	193
8	1934	193
9	1937	193
10	1937	193
11	2619	189
12	3094	189
13	4061	189
14	4062	189
15	4062	189
16	4190	189
17	4190	189
18	6071	185
19	6279	185
20	6321	185
21	6335	185
22	6335	185
23	6511	185
24	6849	185
25	6849	185
26	7408	185
0	7408	160

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 42 to 28 computations (33.3% saved)

preprocess28.0ms (0.7%)

Memory: -1.5MiB live, 36.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 88 to 68 computations (22.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	20	112
0	31	108
1	52	108
2	75	108
3	115	108
4	157	108
5	173	108
6	192	108
7	192	108
8	259	108
9	261	108
0	261	108

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	20	112
0	31	108
1	52	108
2	75	108
3	115	108
4	157	108
5	173	108
6	192	108
7	192	108
8	259	108
9	261	108
0	261	108

start0.0ms (0%)

analyze19.0ms (0.5%)

sample647.0ms (17.3%)

explain89.0ms (2.4%)

preprocess22.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize17.0ms (0.4%)

series4.0ms (0.1%)

simplify215.0ms (5.7%)

rewrite79.0ms (2.1%)

eval47.0ms (1.3%)

prune5.0ms (0.1%)

simplify10.0ms (0.3%)

localize52.0ms (1.4%)

series9.0ms (0.2%)

simplify203.0ms (5.4%)

rewrite196.0ms (5.2%)

eval289.0ms (7.7%)

prune12.0ms (0.3%)

simplify62.0ms (1.7%)

localize91.0ms (2.4%)

series19.0ms (0.5%)

simplify143.0ms (3.8%)

rewrite200.0ms (5.3%)

eval57.0ms (1.5%)

prune9.0ms (0.2%)

simplify7.0ms (0.2%)

localize29.0ms (0.8%)

series4.0ms (0.1%)

simplify245.0ms (6.6%)

rewrite176.0ms (4.7%)

eval80.0ms (2.1%)

prune9.0ms (0.2%)

regimes31.0ms (0.8%)

regimes14.0ms (0.4%)

regimes41.0ms (1.1%)

simplify21.0ms (0.6%)

soundness562.0ms (15%)

preprocess28.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
0	9	6
1	17	6
2	20	6
0	20	4

Iter	Nodes	Cost
0	20	112
0	31	108
1	52	108
2	75	108
3	115	108
4	157	108
5	173	108
6	192	108
7	192	108
8	259	108
9	261	108
0	261	108