Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze19.0ms (0.3%)

Memory

-5.5MiB live, 36.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

sample608.0ms (10%)

Memory

33.6MiB live, 691.4MiB allocated

Samples

383.0ms	8 256×	0	valid
14.0ms	304×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 166.0ms

ival-mult: 78.0ms (47% of total)

ival-expm1: 54.0ms (32.5% of total)

ival->: 23.0ms (13.8% of total)

exact: 8.0ms (4.8% of total)

ival-assert: 4.0ms (2.4% of total)

Bogosity

explain75.0ms (1.2%)

Memory

-21.3MiB live, 100.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
127	-	1	(-9.142559165499709e-58 -1.452395876011327e+55)	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	-	1	(4.663933274973057e-237 -8.910661451828676e+237)	`(exp.f64 (*.f64 a x))`
0	-	0	-	`a`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`(*.f64 a x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	126	2
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	127	1
-	0	128

Precision

1.0

Recall

0.9921875

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	127	1	0
-	0	2	126

Precision?

0.9846153846153847

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

34.0ms

512×

valid

Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions

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

ival-mult: 5.0ms (40.3% of total)

ival-exp: 4.0ms (32.2% of total)

ival-expm1: 3.0ms (24.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB 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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 6 to 6 computations (0% saved)

simplify3.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

localize20.0ms (0.3%)

Memory

-19.6MiB live, 18.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.04568278576171855	(exp.f64 (*.f64 a x))
accuracy	28.791754901729874	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.5% of total)

ival-exp: 2.0ms (25.2% of total)

ival-expm1: 2.0ms (25.2% 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

4.2MiB live, 4.2MiB 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	a	@	inf	((- (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)))

simplify216.0ms (3.6%)

Memory

0.1MiB live, 75.5MiB 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))

rewrite66.0ms (1.1%)

Memory

7.5MiB live, 47.9MiB 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))

eval14.0ms (0.2%)

Memory: 20.0MiB live, 20.0MiB allocated
Compiler: Compiled 2 806 to 340 computations (87.9% saved)

prune10.0ms (0.2%)

Memory

-21.5MiB live, 16.8MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	112	9	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	10	122

Accuracy

100.0%

Counts

122 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
▶	19.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 x a))
	65.2%	#s(approx (- (exp (* a x)) 1) (.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)))
	66.0%	#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)))
	62.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
	65.6%	#s(approx (- (exp (* a x)) 1) (*.f64 x a))

Compiler

Compiled 286 to 206 computations (28% saved)

simplify85.0ms (1.4%)

Memory

-0.7MiB live, 37.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	212
0	49	212
1	87	212
2	146	212
3	310	212
4	700	212
5	1433	212
6	1669	212
7	1739	212
8	1811	212
9	1951	212
10	2061	212
11	2061	212
12	2061	212
13	2212	212
0	2212	212

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

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

localize80.0ms (1.3%)

Memory

2.0MiB live, 82.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.9589797549498976	(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	22.095536964841767	#s(approx (exp (* a x)) (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)))
accuracy	28.555036814502806	(-.f64 #s(approx (exp (* a x)) (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))) #s(literal 1 binary64))
accuracy	0.9821450098243174	(fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy	7.267022953297903	(.f64 (.f64 a a) x)
accuracy	22.146413833976226	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	28.555036814502806	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 x a #s(literal 1 binary64))
accuracy	22.300062346261836	#s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64)))
accuracy	28.555036814502806	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	22.429329013081823	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	28.555036814502806	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x a)
accuracy	0.02751716452874396	(expm1.f64 (*.f64 x a))

Samples

49.0ms	255×	0	valid
9.0ms	1×	5	exit

Compiler

Compiled 367 to 54 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 24.0ms (60% of total)

ival-add: 7.0ms (17.5% of total)

const: 4.0ms (10% of total)

ival-expm1: 3.0ms (7.5% of total)

ival-exp: 2.0ms (5% 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)

series14.0ms (0.2%)

Memory

23.9MiB live, 23.9MiB allocated

Counts

17 → 58

Calls

Call 1

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

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

Calls

6 calls:

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

simplify153.0ms (2.5%)

Memory

-9.6MiB live, 145.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	782
1	707	777
2	2339	729
3	6186	716
0	8501	634

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 57

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

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

rewrite272.0ms (4.5%)

Memory

-15.9MiB live, 177.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	177
0	49	177
1	209	177
2	1532	177
0	8086	177

Stop Event

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

Counts

17 → 405

Calls

Call 1

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

Outputs
(.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (expm1.f64 (.f64 x (*.f64 #s(literal 2 binary64) a))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (expm1.f64 (.f64 x (*.f64 a #s(literal 3 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) a)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 (.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) a) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (-.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal 1 binary64))) (.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) (neg.f64 (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))) (neg.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))))
(/.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) (expm1.f64 (.f64 x (.f64 #s(literal 2 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) (expm1.f64 (.f64 x (.f64 a #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (exp.f64 x) a) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64))) (pow.f64 (+.f64 (pow.f64 (exp.f64 x) a) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 a #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a))) (pow.f64 (+.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) a) #s(literal 1 binary64)) (pow.f64 (exp.f64 x) a)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (exp.f64 x) a) #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 #s(literal 1 binary64) (.f64 a x))
(.f64 (.f64 a x) #s(literal 1 binary64))
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a x)
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 x a)
(fma.f64 #s(literal 1 binary64) (*.f64 a x) #s(literal 0 binary64))
(fma.f64 (*.f64 a x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(+.f64 (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64)))))
(+.f64 (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))) (log.f64 (pow.f64 (exp.f64 a) (/.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(log.f64 (pow.f64 (exp.f64 x) a))
(.f64 (/.f64 (+.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 #s(approx (exp ( a x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
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(/.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 4 binary64)) #s(literal 1 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)) (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 (.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 6 binary64)) #s(literal 1 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 4 binary64)) (+.f64 #s(literal 1 binary64) (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)))) (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 (.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 6 binary64)) #s(literal 1 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 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 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 9 binary64)) #s(literal 1 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 6 binary64)) (-.f64 #s(literal 1 binary64) (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)))) (-.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 2 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 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64)) #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)) (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 (-.f64 #s(literal 1 binary64) (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))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))
(/.f64 (neg.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))) (neg.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 (neg.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))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.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)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)))))
(/.f64 (neg.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))) (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))))
(/.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)) (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) (neg.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)) (-.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 #s(literal -1 binary64) (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)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x)) (+.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 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.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)) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))))
(/.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 (+.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 #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 (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 #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 (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))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))
(fma.f64 (.f64 x (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))) a #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) (*.f64 x #s(literal 1 binary64)) #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))
(fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) (.f64 a x) #s(literal 1 binary64))
(fma.f64 #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))
(fma.f64 (.f64 a x) (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 a (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 x (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))) (/.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)) (-.f64 #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 (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)) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x #s(literal -1 binary64))) (pow.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)) #s(literal -1 binary64)))
(+.f64 (.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 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 a x) a)
(.f64 a (.f64 a x))
(.f64 x (.f64 a a))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))

eval84.0ms (1.4%)

Memory: 38.2MiB live, 75.0MiB allocated
Compiler: Compiled 19 614 to 1 840 computations (90.6% saved)

prune20.0ms (0.3%)

Memory

-3.6MiB live, 33.4MiB allocated

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	448	6	454
Fresh	2	2	4
Picked	2	3	5
Done	0	1	1
Total	452	12	464

Accuracy

100.0%

Counts

464 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
	20.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
▶	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	63.3%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
	62.8%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
▶	65.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
▶	65.2%	#s(approx (- (exp (* a x)) 1) (.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)))
▶	66.0%	#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)))

Compiler

Compiled 367 to 259 computations (29.4% saved)

simplify456.0ms (7.5%)

Memory

-12.0MiB live, 231.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.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)
cost-diff	0	(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))
cost-diff	0	(.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))
cost-diff	0	#s(approx (- (exp (* a x)) 1) (.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)))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
cost-diff	0	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
cost-diff	0	(.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)
cost-diff	0	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
cost-diff	0	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* x a)) 1) (*.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	48	378
0	79	378
1	153	378
2	327	378
3	818	378
4	1795	378
5	3118	378
6	3158	378
7	3177	378
8	3195	378
9	3195	378
10	4812	378
11	4812	378
12	4825	378
13	4825	378
14	5087	378
15	5167	378
16	5167	378
0	8068	364

Stop Event

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

Calls

Call 1

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

localize111.0ms (1.8%)

Memory

15.8MiB live, 213.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.27800641566837286	(.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)
accuracy	0.33984375	(*.f64 #s(literal 1/24 binary64) x)
accuracy	1.1662587671546985	(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))
accuracy	22.28364361228014	#s(approx (- (exp (* a x)) 1) (.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)))
accuracy	0.31640625	(*.f64 #s(literal 1/6 binary64) a)
accuracy	1.185348860043041	(.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a)
accuracy	4.608922588738897	(fma.f64 (.f64 (.f64 x x) (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x)
accuracy	21.718429089444225	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))) a x) a))
accuracy	7.267022953297903	(.f64 (.f64 a a) x)
accuracy	22.146413833976226	#s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x)))
accuracy	28.555036814502806	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
accuracy	40.50051117212158	#s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))
accuracy	0	(*.f64 a x)
accuracy	22.045798570898278	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
accuracy	0.0390625	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
accuracy	0.3359375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	0.9589797549498976	(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	21.718429089444225	#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

79.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 666 to 94 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 35.0ms (61.1% of total)

ival-add: 10.0ms (17.5% of total)

const: 7.0ms (12.2% of total)

ival-expm1: 3.0ms (5.2% of total)

ival-exp: 2.0ms (3.5% 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)

series28.0ms (0.5%)

Memory

-32.9MiB live, 46.9MiB allocated

Counts

23 → 119

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	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) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/6 a) (* 1/24 x))
5.0ms	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) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/6 a) (* 1/24 x))
5.0ms	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) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/6 a) (* 1/24 x))
4.0ms	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) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/6 a) (* 1/24 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) (- (exp (* x a)) 1) (* a x) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (* (* (* (* a a) x) 1/2) x) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (* x x) (+ (* (* 1/6 a) x) 1/2)) (- (exp (* a x)) 1) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* x a)) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) (* 1/6 x) (+ (* (* 1/6 x) a) 1/2) (* (* a a) x) (* 1/6 a) (* 1/24 x))

simplify198.0ms (3.3%)

Memory

25.2MiB live, 179.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	382	1885
1	1334	1828
2	4624	1794
0	8101	1653

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 118

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

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

rewrite228.0ms (3.8%)

Memory

1.2MiB live, 235.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	315
0	79	315
1	295	315
2	1800	315
0	8713	301

Stop Event

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

Counts

23 → 382

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x)
(.f64 (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x) a)
(.f64 (.f64 x a) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (.f64 x a))
(.f64 x (.f64 a (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64))))
(.f64 a (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (-.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a))) (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 #s(literal 1 binary64) (.f64 x a)) (-.f64 (.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a))) (.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (-.f64 (.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) #s(literal 1 binary64))) (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))) (.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x a))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x a))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 x a)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x a)) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x a) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x a) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a) (.f64 #s(literal 1 binary64) (.f64 x a)))
(fma.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 (.f64 x a) #s(literal 1 binary64)))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)))
(+.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (.f64 x a)) (.f64 #s(literal 1 binary64) (*.f64 x a)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x a)) (.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) (*.f64 x a)))
(+.f64 (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (.f64 (*.f64 x a) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x a) #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (.f64 x a) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) (*.f64 x a) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)) (pow.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) #s(literal 2 binary64))))))
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(fma.f64 (*.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
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(fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal 1/6 binary64) a) x) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal -1/2 binary64))))
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(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) a) x))
(.f64 (.f64 a a) x)
(.f64 (.f64 x a) a)
(.f64 x (.f64 a a))
(.f64 a (.f64 x a))
(*.f64 #s(literal 1/6 binary64) a)
(*.f64 a #s(literal 1/6 binary64))
(*.f64 #s(literal 1/24 binary64) x)
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eval396.0ms (6.5%)

Memory: -22.8MiB live, 99.6MiB allocated
Compiler: Compiled 22 464 to 2 287 computations (89.8% saved)

prune22.0ms (0.4%)

Memory

-0.3MiB live, 41.0MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	469	6	475
Fresh	1	2	3
Picked	2	3	5
Done	0	4	4
Total	472	15	487

Accuracy

100.0%

Counts

487 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
	4.7%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
▶	66.1%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a))
▶	66.0%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (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)) a))
✓	65.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
✓	66.0%	#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)))
	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x a))) a) x #s(literal 1 binary64)) (*.f64 x a)))
▶	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
▶	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (.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)) a) x))

Compiler

Compiled 535 to 368 computations (31.2% saved)

simplify248.0ms (4.1%)

Memory

9.2MiB live, 162.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	494
0	93	486
1	183	486
2	354	486
3	885	486
4	2074	486
5	3389	486
6	5009	486
7	5117	486
8	5123	486
9	5123	486
10	5123	486
11	5992	486
12	6053	486
13	6054	486
14	6054	486
0	8113	478

Stop Event

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

Calls

Call 1

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

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

localize130.0ms (2.2%)

Memory

-19.3MiB live, 138.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.49254094106672885	(.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)) a)
accuracy	0.9658707975551852	(.f64 (.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)) a) x)
accuracy	1.1662587671546985	(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))
accuracy	22.28364361228014	#s(approx (- (exp (* a x)) 1) (.f64 (.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)) a) x))
accuracy	0.2701150802680659	(.f64 (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)
accuracy	0.9589797549498976	(fma.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x a) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	1.185348860043041	(.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (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)) a)
accuracy	21.718429089444225	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (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)) a))
accuracy	0.13671875	(.f64 (.f64 a x) a)
accuracy	0.9821450098243174	(fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))
accuracy	22.146413833976226	#s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64)))
accuracy	28.791754901729874	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.03125	(.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a))
accuracy	0.9589797549498976	(fma.f64 (.f64 #s(approx (+ ( (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64))
accuracy	21.718429089444225	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
accuracy	22.878405996679884	#s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64))
accuracy	0.3203125	(*.f64 #s(literal 1/6 binary64) a)
accuracy	1.185348860043041	(.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a)
accuracy	1.222210607745629	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a)
accuracy	21.718429089444225	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a))

Samples

93.0ms

256×

valid

Compiler

Compiled 880 to 113 computations (87.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 47.0ms (65.8% of total)

ival-add: 13.0ms (18.2% of total)

const: 7.0ms (9.8% of total)

ival-expm1: 3.0ms (4.2% of total)

ival-exp: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

24 → 122

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	((- (exp (* x a)) 1) (* (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) a) (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1) x) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) x) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* 1/6 a) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1))
2.0ms	x	@	-inf	((- (exp (* x a)) 1) (* (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) a) (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1) x) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) x) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* 1/6 a) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1))
2.0ms	a	@	inf	((- (exp (* x a)) 1) (* (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) a) (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1) x) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) x) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* 1/6 a) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1))
2.0ms	a	@	0	((- (exp (* x a)) 1) (* (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) a) (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1) x) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) x) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* 1/6 a) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1))
2.0ms	x	@	inf	((- (exp (* x a)) 1) (* (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) a) (+ (* x (* (* (+ (* (* 1/6 a) x) 1/2) x) a)) x) (* (* (+ (* (* 1/6 a) x) 1/2) x) a) (- (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) (- (exp (* a x)) 1) (exp (* a x)) (+ (* (+ (* (* (* a x) a) 1/2) a) x) 1) (+ (* (* (* a x) a) 1/2) a) (- (exp (* x a)) 1) (* (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) a) (+ (* (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (* (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1) x) (- (exp (* a x)) 1) (* (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) x) (* (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) a) (+ (* (* (+ (* (+ (* (* 1/24 x) a) 1/6) (* x a)) 1/2) x) a) 1) (* 1/6 a) (+ (* (* 1/6 x) a) 1/2) (* (* a x) a) (+ (* (* (+ (* 1/6 (* x a)) 1/2) a) x) 1))

simplify249.0ms (4.1%)

Memory

10.9MiB live, 198.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	391	2009
1	1370	1949
2	4807	1867
0	8282	1712

Stop Event

1×	iter limit
1×	node limit

Counts

122 → 120

Calls

Call 1

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

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

rewrite171.0ms (2.8%)

Memory

6.6MiB live, 163.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	398
0	93	390
1	364	390
2	2029	390
0	8874	382

Stop Event

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

Counts

24 → 506

Calls

Call 1

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

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

eval82.0ms (1.4%)

Memory: -14.6MiB live, 104.5MiB allocated
Compiler: Compiled 22 268 to 2 433 computations (89.1% saved)

prune20.0ms (0.3%)

Memory

3.4MiB live, 42.0MiB allocated

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	512	1	513
Fresh	1	2	3
Picked	0	5	5
Done	0	7	7
Total	513	15	528

Accuracy

100.0%

Counts

528 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	55.0%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) x) a #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) (*.f64 x a) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 (.f64 a x) a) #s(literal 1/2 binary64) a) x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
✓	5.4%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64))
	4.7%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
✓	19.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 x a))
✓	66.1%	#s(approx (- (exp (* x a)) 1) (.f64 (fma.f64 x (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64)) x) a) x) a))
✓	66.0%	#s(approx (- (exp (* x a)) 1) (.f64 #s(approx (+ ( (* (* x x) (+ (* (* 1/6 a) x) 1/2)) a) x) (.f64 (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)) a))
✓	65.6%	#s(approx (- (exp (* x a)) 1) (*.f64 a x))
✓	66.0%	#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)))
	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) (.f64 (.f64 #s(literal 1/6 binary64) a) x)) a) x #s(literal 1 binary64)) (*.f64 x a)))
✓	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))
✓	65.2%	#s(approx (- (exp (* a x)) 1) (.f64 (.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)) a) x))

Compiler

Compiled 789 to 350 computations (55.6% saved)

regimes34.0ms (0.6%)

Memory

1.2MiB live, 39.5MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
7.0ms	a
7.0ms	(*.f64 a x)
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
5.0ms	(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)

regimes33.0ms (0.5%)

Memory

0.7MiB live, 44.1MiB allocated

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	x
6.0ms	a
6.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
66.1%	1	`a`
66.1%	1	`x`
67.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.9%	2	`(exp.f64 (*.f64 a x))`
69.6%	3	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes19.0ms (0.3%)

Memory

-7.9MiB live, 28.2MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

#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)))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
67.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.8%	2	`(exp.f64 (*.f64 a x))`
69.4%	3	`(*.f64 a x)`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes25.0ms (0.4%)

Memory

-3.0MiB live, 34.5MiB allocated

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

8.0ms	a
4.0ms	x
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
3.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
65.6%	1	`x`
65.6%	1	`a`
67.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.5%	2	`(exp.f64 (*.f64 a x))`
69.1%	3	`(*.f64 a x)`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes12.0ms (0.2%)

Memory

20.1MiB live, 20.1MiB 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))
#s(approx (- (exp (* x a)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 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 (fma.f64 (.f64 (*.f64 a a) x) #s(literal 1/2 binary64) a) x))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64))

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

Calls

4 calls:

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
65.6%	1	`x`
65.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
65.6%	1	`(exp.f64 (*.f64 a x))`
65.6%	1	`(*.f64 a x)`

Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes10.0ms (0.2%)

Memory

-24.9MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-9.672773923579008	-0.01426928801928237
0.0ms	-8.066677209037008e+25	-4273018313910388000.0

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-9.672773923579008	-0.01426928801928237
0.0ms	-8.066677209037008e+25	-4273018313910388000.0

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-9.672773923579008	-0.01426928801928237
0.0ms	-8.066677209037008e+25	-4273018313910388000.0

Compiler

Compiled 9 to 9 computations (0% saved)

simplify67.0ms (1.1%)

Memory

-5.0MiB live, 75.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	342
1	93	342
2	99	342
3	102	342
4	105	342
5	110	342

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x a))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (.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)) a) x))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #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)))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.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))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (.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)) a) x))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/24 binary64) x) a #s(literal 1/6 binary64)) (*.f64 a x) #s(literal 1/2 binary64)) x) a #s(literal 1 binary64)) a) x))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #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)))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #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 a x)))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 x a)))))
(if (<=.f64 (.f64 a x) #s(literal -50000000000000002382364672 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) (.f64 (.f64 (.f64 (.f64 a a) x) #s(literal 1/2 binary64)) x))) #s(literal 1 binary64)) (if (<=.f64 (.f64 a x) #s(literal -5 binary64)) (-.f64 #s(approx (exp ( a x)) #s(approx (+ (* (+ (* (* (* a a) x) 1/2) a) x) 1) #s(approx (* (* (* (* a a) x) 1/2) x) (.f64 (.f64 (.f64 (.f64 x x) a) a) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 #s(approx (+ (* (* 1/6 x) a) 1/2) #s(literal 1/2 binary64)) a) x #s(literal 1 binary64)) (*.f64 a x)))))
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness1.6s (26.6%)

Memory

31.9MiB live, 536.4MiB 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	211	782
1	707	777
2	2339	729
3	6186	716
0	8501	634
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
0	48	315
0	79	315
1	295	315
2	1800	315
0	8713	301
0	382	1885
1	1334	1828
2	4624	1794
0	8101	1653

Stop Event

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

Compiler

Compiled 406 to 148 computations (63.5% saved)

preprocess138.0ms (2.3%)

Memory: -7.8MiB live, 166.6MiB allocated
Remove: (sort a x)
Compiler: Compiled 728 to 186 computations (74.5% 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	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

start0.0ms (0%)

analyze19.0ms (0.3%)

sample608.0ms (10%)

explain75.0ms (1.2%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.3%)

series4.0ms (0.1%)

simplify216.0ms (3.6%)

rewrite66.0ms (1.1%)

eval14.0ms (0.2%)

prune10.0ms (0.2%)

simplify85.0ms (1.4%)

localize80.0ms (1.3%)

series14.0ms (0.2%)

simplify153.0ms (2.5%)

rewrite272.0ms (4.5%)

eval84.0ms (1.4%)

prune20.0ms (0.3%)

simplify456.0ms (7.5%)

localize111.0ms (1.8%)

series28.0ms (0.5%)

simplify198.0ms (3.3%)

rewrite228.0ms (3.8%)

eval396.0ms (6.5%)

prune22.0ms (0.4%)

simplify248.0ms (4.1%)

localize130.0ms (2.2%)

series14.0ms (0.2%)

simplify249.0ms (4.1%)

rewrite171.0ms (2.8%)

eval82.0ms (1.4%)

prune20.0ms (0.3%)

regimes34.0ms (0.6%)

regimes33.0ms (0.5%)

regimes19.0ms (0.3%)

regimes25.0ms (0.4%)

regimes12.0ms (0.2%)

regimes10.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify67.0ms (1.1%)

soundness1.6s (26.6%)

preprocess138.0ms (2.3%)

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