Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze17.0ms (0.2%)

Memory

-4.9MiB live, 34.4MiB 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)

sample570.0ms (5.9%)

Memory

11.3MiB live, 995.5MiB allocated

Samples

337.0ms	8 256×	0	valid
17.0ms	315×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

ival-mult: 69.0ms (47.3% of total)

ival-expm1: 47.0ms (32.2% of total)

ival->: 20.0ms (13.7% of total)

exact: 6.0ms (4.1% of total)

ival-assert: 3.0ms (2.1% of total)

Bogosity

explain72.0ms (0.7%)

Memory

10.6MiB live, 88.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
133	1	(-9.463439227939546e-76 6.400820459089512e-248)	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
1	0	-	-	`(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	134	2
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	2

Confusion

	Predicted +	Predicted -
+	134	0
-	1	121

Precision

0.9925925925925926

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	0
-	1	4	117

Precision?

0.9640287769784173

Recall?

1.0

Freqs

test

number	freq
0	121
1	135

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

32.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-mult: 4.0ms (36.7% of total)

ival-exp: 3.0ms (27.6% of total)

ival-expm1: 3.0ms (27.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.2%)

Memory

15.7MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

42×	`sub-neg`
40×	`exp-sum`
24×	`exp-prod`
24×	`+-commutative`
18×	`*-commutative`

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 a x))

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify9.0ms (0.1%)

Memory

-32.0MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 a x)
cost-diff	0	(exp.f64 (*.f64 a x))
cost-diff	192	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Rules

6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`
4×	`lower-+.f64`
4×	`lower-exp.f64`

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

localize18.0ms (0.2%)

Memory

25.6MiB live, 25.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.058735053174037044	(exp.f64 (*.f64 a x))
accuracy	30.388113069663152	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 2.0ms (37.6% of total)

ival-mult: 2.0ms (37.6% of total)

ival-expm1: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify592.0ms (6.2%)

Memory

-50.0MiB live, 321.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
3 454×	`associate-r`
2 992×	`lower-*.f64`
2 992×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

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

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

rewrite110.0ms (1.1%)

Memory

-5.2MiB live, 76.4MiB allocated

Rules

806×	`lower-fma.f64`
806×	`lower-fma.f32`
650×	`lower-*.f32`
648×	`lower-*.f64`
594×	`lower-/.f64`

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))
(exp.f64 (*.f64 a x))
(*.f64 a x)

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

eval22.0ms (0.2%)

Memory: 4.0MiB live, 41.0MiB allocated
Compiler: Compiled 3 258 to 324 computations (90.1% saved)

prune25.0ms (0.3%)

Memory

13.0MiB live, 51.2MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	172	11	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	11	184

Accuracy

99.9%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	20.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	99.9%	(expm1.f64 (*.f64 a x))
	63.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
	62.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	62.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	68.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 298 to 168 computations (43.6% saved)

simplify72.0ms (0.7%)

Memory

-10.5MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
cost-diff	0	(fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
cost-diff	0	(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #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 a x)
cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

1 908×	`lower-fma.f32`
1 896×	`lower-fma.f64`
1 058×	`associate-r`
1 014×	`lower-*.f32`
1 004×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	211
0	49	211
1	99	211
2	228	211
3	546	211
4	968	211
5	1235	211
6	1249	211
7	1264	211
8	1272	211
9	1273	211
10	1273	211
11	1529	211
12	1538	211
13	1551	211
14	1551	211
0	1551	211

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize98.0ms (1%)

Memory

12.4MiB live, 139.1MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.7311011765996431	(fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
accuracy	8.115309057545204	(.f64 a (.f64 x x))
accuracy	20.447684402701782	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	1.2168698980697783	(fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))
accuracy	5.947325207226511	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
accuracy	20.485864744308714	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64)))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	20.683021225148618	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	20.72475192687216	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.06529002155338329	(expm1.f64 (*.f64 a x))

Samples

70.0ms

256×

valid

Compiler

Compiled 153 to 25 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 34.0ms (67.5% of total)

ival-add: 9.0ms (17.9% of total)

const: 3.0ms (6% of total)

ival-exp: 2.0ms (4% of total)

ival-expm1: 2.0ms (4% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.4%)

Memory

-21.1MiB live, 55.0MiB allocated

Counts

16 → 384

Calls

Call 1

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

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

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(- (exp (* a x)) 1)
4.0ms	x	@	inf	(+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x)
2.0ms	a	@	-inf	(+ (* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x)) 1)
1.0ms	x	@	-inf	(+ (* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x)) 1)
1.0ms	x	@	-inf	(+ (* a (+ (* a (* 1/2 (* x x))) x)) 1)

simplify461.0ms (4.8%)

Memory

-0.9MiB live, 672.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 168×	`lower-fma.f64`
22 168×	`lower-fma.f32`
5 070×	`lower-*.f64`
5 070×	`lower-*.f32`
2 074×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	3082
1	660	3075
2	2293	2978
3	6085	2976
0	8429	2580

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 380

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

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

rewrite597.0ms (6.2%)

Memory

18.1MiB live, 376.5MiB allocated

Rules

5 696×	`lower-fma.f32`
5 684×	`lower-fma.f64`
3 966×	`lower-/.f64`
3 966×	`lower-/.f32`
3 586×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	176
0	49	176
1	219	176
2	1715	176
0	8262	176

Stop Event

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

Counts

16 → 482

Calls

Call 1

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

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

eval126.0ms (1.3%)

Memory: -13.3MiB live, 179.4MiB allocated
Compiler: Compiled 26 193 to 1 624 computations (93.8% saved)

prune92.0ms (1%)

Memory

29.2MiB live, 192.1MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	850	12	862
Fresh	1	5	6
Picked	2	3	5
Done	0	0	0
Total	853	20	873

Accuracy

99.9%

Counts

873 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
▶	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
▶	21.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
	20.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	21.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a x) a) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
▶	21.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	20.6%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
✓	99.9%	(expm1.f64 (*.f64 a x))
	63.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
	55.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)))
	62.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
	62.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
▶	68.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 685 to 363 computations (47% saved)

simplify308.0ms (3.2%)

Memory

-16.3MiB live, 544.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
cost-diff	0	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))
cost-diff	0	(fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
cost-diff	128	(+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
cost-diff	0	(*.f64 a x)
cost-diff	0	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 a (+.f64 x x))
cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
cost-diff	7808	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Rules

13 686×	`lower-fma.f32`
13 678×	`lower-fma.f64`
3 008×	`lower-+.f32`
3 000×	`lower-+.f64`
2 358×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	368
0	62	352
1	111	352
2	235	352
3	540	352
4	1431	352
5	2095	345
6	2590	345
7	3499	345
8	6875	345
0	8119	341

Stop Event

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

Calls

Call 1

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

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

localize153.0ms (1.6%)

Memory

14.1MiB live, 210.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.328125	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.7311011765996431	(fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
accuracy	20.447684402701782	#s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
accuracy	0.328125	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.7311011765996431	(fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))
accuracy	20.447684402701782	#s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64)))
accuracy	30.388113069663152	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	0.14453125	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
accuracy	0.5602656488409431	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
accuracy	20.683021225148618	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.388113069663152	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	0	(*.f64 a x)
accuracy	20.409922338489856	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
accuracy	0.015625	(+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
accuracy	0.03419877930532605	(expm1.f64 (*.f64 a (+.f64 x x)))
accuracy	0.058735053174037044	(exp.f64 (*.f64 a x))
accuracy	0.2726959626330743	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

Samples

52.0ms	79×	2	valid
33.0ms	88×	1	valid
21.0ms	88×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 296 to 30 computations (89.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-exp: 17.0ms (22.7% of total)

adjust: 14.0ms (18.7% of total)

ival-add: 13.0ms (17.4% of total)

ival-div: 11.0ms (14.7% of total)

ival-mult: 11.0ms (14.7% of total)

const: 4.0ms (5.3% of total)

ival-expm1: 4.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory

14.8MiB live, 51.2MiB allocated

Counts

22 → 504

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))>
#<alt (+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 3))>
#<alt (/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 3))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 18 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 3))>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (/ (- (* 18 (/ 1 (* a (pow x 4)))) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* a (pow x 5))) (/ 18 (* (pow a 2) (pow x 6)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))>
#<alt 1>
#<alt (+ 1 (* -1 (* a x)))>
#<alt (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))>
#<alt (/ 6 (* (pow a 3) (pow x 3)))>
#<alt (/ (- (* 6 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) (pow x 3))>
#<alt (/ (- (+ (* 6 (/ 1 (pow a 3))) (/ 18 (* (pow a 5) (pow x 2)))) (/ 18 (* (pow a 4) x))) (pow x 3))>
#<alt (/ (- (+ (* 18 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 18 (/ 1 (* (pow a 6) (pow x 3)))) (* 6 (/ 1 (pow a 3))))) (/ 18 (* (pow a 4) x))) (pow x 3))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (+ (/ 1 x) (/ 1 (pow x 2)))) x)) (* -1/6 (pow a 2)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (+ 1 (exp (* a x)))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>

Calls

126 calls:

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

simplify465.0ms (4.8%)

Memory

-14.4MiB live, 513.0MiB allocated

Algorithm

1×	egg-herbie

Rules

22 104×	`lower-fma.f64`
22 104×	`lower-fma.f32`
5 954×	`lower-*.f64`
5 954×	`lower-*.f32`
4 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	351	4805
1	1163	4766
2	4068	4601
0	8343	4074

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 502

Calls

Call 1

Inputs
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(exp (* 2 (* a x)))
(* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
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))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 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)))))
(* (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 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (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 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
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))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (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))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -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 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (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))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -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 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* 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))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
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))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))
(/ 6 (* (pow a 3) (pow x 3)))
(/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 3))
(/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 18 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/ 6 (* (pow a 3) (pow x 3)))
(* -1 (/ (- (* 18 (/ 1 (* a (pow x 4)))) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* a (pow x 5))) (/ 18 (* (pow a 2) (pow x 6)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))
(/ 6 (* (pow a 3) (pow x 3)))
(/ (- (* 6 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/ (- (+ (* 6 (/ 1 (pow a 3))) (/ 18 (* (pow a 5) (pow x 2)))) (/ 18 (* (pow a 4) x))) (pow x 3))
(/ (- (+ (* 18 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 18 (/ 1 (* (pow a 6) (pow x 3)))) (* 6 (/ 1 (pow a 3))))) (/ 18 (* (pow a 4) x))) (pow x 3))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (+ (/ 1 x) (/ 1 (pow x 2)))) x)) (* -1/6 (pow a 2)))))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
2
(+ 2 (* a x))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
2
(+ 2 (* a x))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(+ 1 (exp (* a x)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (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))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -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 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))
(neg.f64 (.f64 (.f64 a x) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
(* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (* a x)))
(fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a x) a) (.f64 (.f64 x (.f64 a (.f64 a a))) (.f64 #s(literal 4/3 binary64) x))) #s(literal 1 binary64))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(exp (* 2 (* a x)))
(exp.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))
(neg.f64 (.f64 (.f64 a x) (expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
(* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))
(fma.f64 a (.f64 (expm1.f64 (.f64 #s(literal 2 binary64) (*.f64 a x))) (neg.f64 x)) #s(literal 1 binary64))
(* 2 (* a x))
(.f64 #s(literal 2 binary64) (.f64 a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (*.f64 x x) x) a))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) x)))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a #s(literal 2/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 a x)))
(* 2 (* a x))
(.f64 #s(literal 2 binary64) (.f64 a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (*.f64 x x) x) a))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a x) a) (.f64 (.f64 x (.f64 a (.f64 a a))) (*.f64 #s(literal 4/3 binary64) x))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(- (exp (* 2 (* a x))) 1)
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(* 2 (* a x))
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(.f64 #s(literal 2 binary64) (.f64 a x))
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(.f64 #s(literal 2 binary64) (.f64 a x))
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(* a x)
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(* a x)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(* a x)
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(.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
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(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(- (exp (* a x)) 1)
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(* a x)
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(* a (+ x (* 1/2 (* a (pow x 2)))))
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1
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1
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(* a x)
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(- (exp (* a x)) 1)
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1
#s(literal 1 binary64)
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1
#s(literal 1 binary64)
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(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* a x)))
(-.f64 #s(literal 1 binary64) (*.f64 a x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))
(fma.f64 a (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* a (- (* a (- (* -1 (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) x)))
(fma.f64 a (fma.f64 a (neg.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (*.f64 x (neg.f64 x)))) (neg.f64 x)) #s(literal 1 binary64))
(/ 6 (* (pow a 3) (pow x 3)))
(/.f64 #s(literal 6 binary64) (.f64 a (.f64 a (.f64 a (.f64 x (*.f64 x x))))))
(/ (- (* 6 (/ 1 (pow x 3))) (* 18 (/ 1 (* a (pow x 4))))) (pow a 3))
(/.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 18 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x)))) (.f64 a (.f64 a a)))
(/ (- (+ (* 6 (/ 1 (pow x 3))) (/ 18 (* (pow a 2) (pow x 5)))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 18 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x)))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 a a) (pow.f64 x #s(literal 5 binary64))))) (.f64 a (.f64 a a)))
(/ (- (+ (* 18 (/ 1 (* (pow a 2) (pow x 5)))) (+ (* 18 (/ 1 (* (pow a 3) (pow x 6)))) (* 6 (/ 1 (pow x 3))))) (/ 18 (* a (pow x 4)))) (pow a 3))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 18 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x)))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 a a) (pow.f64 x #s(literal 5 binary64))))) (/.f64 #s(literal 18 binary64) (.f64 a (.f64 a (.f64 a (pow.f64 x #s(literal 6 binary64))))))) (.f64 a (*.f64 a a)))
(/ 6 (* (pow a 3) (pow x 3)))
(/.f64 #s(literal 6 binary64) (.f64 a (.f64 a (.f64 a (.f64 x (*.f64 x x))))))
(* -1 (/ (- (* 18 (/ 1 (* a (pow x 4)))) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(/.f64 (+.f64 (/.f64 #s(literal -18 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x))) (neg.f64 (/.f64 #s(literal -6 binary64) (.f64 x (.f64 x x))))) (.f64 a (.f64 a a)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 (* a (pow x 5)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 18 binary64) (.f64 a (.f64 (.f64 x (.f64 x x)) x)))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 a a) (pow.f64 x #s(literal 5 binary64))))) (.f64 a (.f64 a a)))
(* -1 (/ (- (* -1 (/ (- (+ (/ 18 (* a (pow x 5))) (/ 18 (* (pow a 2) (pow x 6)))) (* 18 (/ 1 (pow x 4)))) a)) (* 6 (/ 1 (pow x 3)))) (pow a 3)))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 a (pow.f64 x #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 18 binary64) (.f64 a (.f64 a (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal -18 binary64) (.f64 (.f64 x (.f64 x x)) x)))) a) (/.f64 #s(literal 6 binary64) (.f64 x (.f64 x x)))) (.f64 a (.f64 a a)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* a x)))
(-.f64 #s(literal 1 binary64) (*.f64 a x))
(+ 1 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))
(fma.f64 a (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) (+ (* -1/2 (pow a 3)) (* 1/6 (pow a 3)))))) (+ (* -1 (pow a 2)) (* 1/2 (pow a 2))))) a)))
(fma.f64 x (fma.f64 x (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64)) (neg.f64 x) (.f64 (*.f64 a a) #s(literal 1/2 binary64))) (neg.f64 a)) #s(literal 1 binary64))
(/ 6 (* (pow a 3) (pow x 3)))
(/.f64 #s(literal 6 binary64) (.f64 a (.f64 a (.f64 a (.f64 x (*.f64 x x))))))
(/ (- (* 6 (/ 1 (pow a 3))) (* 18 (/ 1 (* (pow a 4) x)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -18 binary64) (.f64 x (.f64 (.f64 a (.f64 a a)) a)))) (.f64 x (.f64 x x)))
(/ (- (+ (* 6 (/ 1 (pow a 3))) (/ 18 (* (pow a 5) (pow x 2)))) (/ 18 (* (pow a 4) x))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 6 binary64) (.f64 a (.f64 a a))) (+.f64 (/.f64 #s(literal 18 binary64) (.f64 (.f64 x x) (pow.f64 a #s(literal 5 binary64)))) (/.f64 #s(literal -18 binary64) (.f64 x (.f64 (.f64 a (.f64 a a)) a))))) (.f64 x (.f64 x x)))
(/ (- (+ (* 18 (/ 1 (* (pow a 5) (pow x 2)))) (+ (* 18 (/ 1 (* (pow a 6) (pow x 3)))) (* 6 (/ 1 (pow a 3))))) (/ 18 (* (pow a 4) x))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal -18 binary64) (.f64 x (.f64 (.f64 a (.f64 a a)) a))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 x x) (.f64 x (pow.f64 a #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 6 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 18 binary64) (.f64 (.f64 x x) (pow.f64 a #s(literal 5 binary64)))))) (.f64 x (*.f64 x x)))
(* 1/6 (* (pow a 2) (pow x 3)))
(.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(.f64 (.f64 x (.f64 x x)) (.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(.f64 (-.f64 (.f64 (.f64 a a) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (+ (/ 1 x) (/ 1 (pow x 2)))) x)) (* -1/6 (pow a 2)))))
(.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 a (.f64 a #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 a #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 x)))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(+ 2 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
2
#s(literal 2 binary64)
(+ 2 (* a x))
(fma.f64 a x #s(literal 2 binary64))
(+ 2 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(+ 2 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(+ 1 (exp (* a x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
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 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(.f64 a (.f64 (.f64 a a) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (*.f64 a a)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (+ (/ 1 (pow a 3)) (/ x (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a)) (/.f64 x (.f64 a a))) (/.f64 #s(literal 1 binary64) (.f64 a (*.f64 a a)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(.f64 (.f64 a (.f64 a a)) (neg.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) a))) a))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))) a)) (* -1/6 (pow x 3)))))
(.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal -1/6 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) a) x) a)) a)) (neg.f64 (.f64 a (.f64 a a))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (*.f64 x x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (+ (/ 1 (pow x 3)) (/ a (pow x 2))))))
(.f64 x (.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 a (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x x) (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(.f64 (.f64 x (.f64 x x)) (.f64 (*.f64 a a) (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (neg.f64 (.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) #s(literal -1/6 binary64)) (/.f64 (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (/.f64 a x)) x)) (neg.f64 (.f64 x (*.f64 x x))))

rewrite368.0ms (3.8%)

Memory

-10.7MiB live, 417.8MiB allocated

Rules

6 152×	`lower-fma.f32`
6 144×	`lower-fma.f64`
3 378×	`lower-*.f32`
3 368×	`lower-*.f64`
3 262×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	280
0	62	271
1	255	257
2	1715	257
0	9035	251

Stop Event

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

Counts

22 → 1 231

Calls

Call 1

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

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

eval242.0ms (2.5%)

Memory: 39.3MiB live, 368.7MiB allocated
Compiler: Compiled 58 657 to 3 372 computations (94.3% saved)

prune208.0ms (2.2%)

Memory

-11.6MiB live, 361.6MiB allocated

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1 859	14	1 873
Fresh	6	6	12
Picked	2	3	5
Done	0	3	3
Total	1 867	26	1 893

Accuracy

99.9%

Counts

1 893 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
▶	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	4.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (*.f64 a x)))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
	20.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
	50.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (fma.f64 a (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
	49.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
	29.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 a x))
▶	3.8%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
▶	3.1%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64)))
	4.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64)))
▶	3.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))
	62.1%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)))
	55.7%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 (.f64 x (.f64 x x)) x)) (*.f64 a #s(literal 1/24 binary64)))) x)))
▶	63.4%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
	62.4%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)))
	62.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
✓	68.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 775 to 434 computations (44% saved)

simplify331.0ms (3.4%)

Memory

-1.6MiB live, 312.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
cost-diff	128	(*.f64 #s(literal 2 binary64) x)
cost-diff	192	(fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
cost-diff	0	(fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
cost-diff	0	(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
cost-diff	0	(fma.f64 a (*.f64 x x) x)
cost-diff	0	(.f64 (fma.f64 a (.f64 x x) x) a)
cost-diff	0	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64)))
cost-diff	128	(fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))
cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
cost-diff	64	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
cost-diff	6400	(exp.f64 #s(literal 1 binary64))
cost-diff	7808	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64)))

Rules

12 108×	`lower-fma.f32`
12 094×	`lower-fma.f64`
2 952×	`lower-*.f32`
2 932×	`lower-*.f64`
2 278×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	299
0	77	291
1	163	291
2	364	288
3	1035	288
4	2432	288
5	3940	267
6	6408	257
7	7019	257
0	8097	244

Stop Event

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

Calls

Call 1

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

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

localize536.0ms (5.6%)

Memory

18.1MiB live, 335.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.41162801770380464	(.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)))
accuracy	0.7189505165296454	(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
accuracy	5.275010011466012	(fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
accuracy	61.45757683264892	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
accuracy	0.41152555661412166	(.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))
accuracy	0.7271949265996431	(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
accuracy	5.270380145281924	(fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)
accuracy	20.103426296410127	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
accuracy	0	(*.f64 x x)
accuracy	1.2206541165214098	(.f64 (fma.f64 a (.f64 x x) x) a)
accuracy	5.9551963888110375	(fma.f64 a (*.f64 x x) x)
accuracy	62.03741388957671	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64)))
accuracy	61.88820049568732	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))
accuracy	0.015625	(+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x)) #s(literal 1 binary64))
accuracy	0.03419877930532605	(expm1.f64 (*.f64 a (+.f64 x x)))
accuracy	0.05231373993272953	(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
accuracy	0.2726959626330743	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (.f64 a x)) #s(literal 1 binary64)))

Samples

368.0ms	88×	0	valid
60.0ms	78×	2	valid
57.0ms	89×	1	valid
1.0ms	1×	3	valid

Compiler

Compiled 279 to 46 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 306.0ms (67.9% of total)

ival-div: 60.0ms (13.3% of total)

adjust: 25.0ms (5.5% of total)

ival-add: 25.0ms (5.5% of total)

ival-exp: 19.0ms (4.2% of total)

const: 7.0ms (1.6% of total)

ival-pow: 4.0ms (0.9% of total)

ival-expm1: 3.0ms (0.7% of total)

exact: 1.0ms (0.2% of total)

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

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

series266.0ms (2.8%)

Memory

26.3MiB live, 453.7MiB allocated

Counts

20 → 432

Calls

Call 1

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

Outputs
#<alt (* a (* x (+ (log a) (log (* 2 x)))))>
#<alt (* a (+ (* a (pow x 2)) (* x (+ (log a) (log (* 2 x))))))>
#<alt (* a (+ (* a (+ (* 1/2 (* a (* x (+ (* -1 (pow x 2)) (* 4/3 (pow x 2)))))) (pow x 2))) (* x (+ (log a) (log (* 2 x))))))>
#<alt (* a (+ (* a (+ (* a (+ (* 1/6 (* a (* x (+ (* -4 (pow x 3)) (* 4 (pow x 3)))))) (* 1/2 (* x (+ (* -1 (pow x 2)) (* 4/3 (pow x 2))))))) (pow x 2))) (* x (+ (log a) (log (* 2 x))))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* a (* x (+ (log x) (log (* 2 a)))))>
#<alt (* x (+ (* a (+ (log x) (log (* 2 a)))) (* (pow a 2) x)))>
#<alt (* x (+ (* a (+ (log x) (log (* 2 a)))) (* x (+ (* 1/2 (* a (* x (+ (* -1 (pow a 2)) (* 4/3 (pow a 2)))))) (pow a 2)))))>
#<alt (* x (+ (* a (+ (log x) (log (* 2 a)))) (* x (+ (* x (+ (* 1/6 (* a (* x (+ (* -4 (pow a 3)) (* 4 (pow a 3)))))) (* 1/2 (* a (+ (* -1 (pow a 2)) (* 4/3 (pow a 2))))))) (pow a 2)))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* a (* x (log (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt (* -1 (log (- (exp (* 2 (* a x))) 1)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (* 2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (* 2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (* 2 (pow x 2)) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (+ (* 2 (pow x 2)) (/ 1 (pow a 2)))))>
#<alt (* 2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (* 2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (* 2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (* 2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (* 2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (* 2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (* 2 (pow a 2)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (+ (* 2 (pow a 2)) (/ 1 (pow x 2)))))>
#<alt (* 2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 2 a) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2 a) (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* 2 a) (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* a (+ x (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* (pow a 2) (+ (/ x a) (pow x 2)))>
#<alt (* a x)>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* x (+ a (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* (pow x 2) (+ (/ a x) (pow a 2)))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt x>
#<alt (+ x (* a (pow x 2)))>
#<alt (+ x (* a (pow x 2)))>
#<alt (+ x (* a (pow x 2)))>
#<alt (* a (pow x 2))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (+ (/ x a) (pow x 2)))>
#<alt (* a (pow x 2))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* a x)))>
#<alt (* x (+ 1 (* a x)))>
#<alt (* x (+ 1 (* a x)))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* a (pow x 2))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* (pow x 2) (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* 1/6 (* a (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (* 1/6 (* a (pow x 3)))>
#<alt (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* a (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* 1/6 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (* 2 (* a (pow x 2))))>
#<alt (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))>
#<alt (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))>
#<alt (* 4/3 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 4/3 (pow x 3)) (+ (* 2 (/ x (pow a 2))) (* 2 (/ (pow x 2) a)))))>
#<alt (* (pow a 2) (+ (* 4/3 (pow x 3)) (+ (* 2 (/ x (pow a 2))) (* 2 (/ (pow x 2) a)))))>
#<alt (* 4/3 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 (/ x a)) (* -2 (pow x 2))) a)) (* 4/3 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -2 (/ x a)) (* -2 (pow x 2))) a)) (* 4/3 (pow x 3))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (* a x))))>
#<alt (* x (+ 2 (* x (+ (* 4/3 (* (pow a 2) x)) (* 2 a)))))>
#<alt (* x (+ 2 (* x (+ (* 4/3 (* (pow a 2) x)) (* 2 a)))))>
#<alt (* 4/3 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 2)) (* 2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 2)) (+ (* 2 (/ a x)) (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 2)) (+ (* 2 (/ a x)) (/ 2 (pow x 2)))))>
#<alt (* 4/3 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (/ a x)) (* -4/3 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow a 2)) (* -1 (/ (+ (* 2 a) (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow a 2)) (* -1 (/ (+ (* 2 a) (* 2 (/ 1 x))) x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt (* -1 (* a (- (* x (- (exp (* 2 (* a x))) 1)) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (exp (* 2 (* a x)))>
#<alt (* -1 (* a (* x (- (exp (* 2 (* a x))) 1))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* a (- (exp (* 2 (* a x))) 1)) (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))))))>
#<alt (* 4/3 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 4/3 (pow x 3)) (+ (* 2 (/ x (pow a 2))) (* 2 (/ (pow x 2) a)))))>
#<alt (* (pow a 3) (+ (* 4/3 (pow x 3)) (+ (* 2 (/ x (pow a 2))) (+ (* 2 (/ (pow x 2) a)) (/ 1 (pow a 3))))))>
#<alt (* 4/3 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -2 (/ (pow x 2) a)) (* -4/3 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -4/3 (pow x 3)) (* -1 (/ (+ (* 2 (/ x a)) (* 2 (pow x 2))) a)))))>
#<alt (* -1 (* (pow a 3) (+ (* -4/3 (pow x 3)) (* -1 (/ (+ (* -1 (/ (- (* -2 x) (/ 1 a)) a)) (* 2 (pow x 2))) a)))))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2)))))))>
#<alt (* 4/3 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 3)) (* 2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 3)) (+ (* 2 (/ a (pow x 2))) (* 2 (/ (pow a 2) x)))))>
#<alt (* (pow x 3) (+ (* 4/3 (pow a 3)) (+ (* 2 (/ a (pow x 2))) (+ (* 2 (/ (pow a 2) x)) (/ 1 (pow x 3))))))>
#<alt (* 4/3 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -2 (/ (pow a 2) x)) (* -4/3 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow a 3)) (* -1 (/ (+ (* 2 (/ a x)) (* 2 (pow a 2))) x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -4/3 (pow a 3)) (* -1 (/ (+ (* 2 (/ a x)) (* 2 (pow a 2))) x)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 4/3 (* a x))))>
#<alt (* (pow x 2) (+ 2 (* 4/3 (* a x))))>
#<alt (* (pow x 2) (+ 2 (* 4/3 (* a x))))>
#<alt (* 4/3 (* a (pow x 3)))>
#<alt (* (pow x 3) (+ (* 4/3 a) (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 a) (* 2 (/ 1 x))))>
#<alt (* (pow x 3) (+ (* 4/3 a) (* 2 (/ 1 x))))>
#<alt (* 4/3 (* a (pow x 3)))>
#<alt (* -1 (* (pow x 3) (- (* -4/3 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* -4/3 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- (* -4/3 a) (* 2 (/ 1 x)))))>
#<alt (* 2 (pow x 2))>
#<alt (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))>
#<alt (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))>
#<alt (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2)))>
#<alt (* 4/3 (* a (pow x 3)))>
#<alt (* a (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* a (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* a (+ (* 4/3 (pow x 3)) (* 2 (/ (pow x 2) a))))>
#<alt (* 4/3 (* a (pow x 3)))>
#<alt (* -1 (* a (+ (* -2 (/ (pow x 2) a)) (* -4/3 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -2 (/ (pow x 2) a)) (* -4/3 (pow x 3)))))>
#<alt (* -1 (* a (+ (* -2 (/ (pow x 2) a)) (* -4/3 (pow x 3)))))>

Calls

108 calls:

Time	Variable		Point	Expression
53.0ms	x	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (pow (exp 1) (* a x)) 1))
39.0ms	a	@	inf	(/ (- (exp (* a (+ x x))) 1) (+ (pow (exp 1) (* a x)) 1))
25.0ms	a	@	0	(+ (pow (exp 1) (* a x)) 1)
20.0ms	a	@	inf	(+ (pow (exp 1) (* a x)) 1)
18.0ms	a	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (pow (exp 1) (* a x)) 1))

simplify588.0ms (6.1%)

Memory

-65.9MiB live, 852.0MiB allocated

Algorithm

1×	egg-herbie

Rules

20 428×	`lower-fma.f64`
20 428×	`lower-fma.f32`
6 998×	`lower-*.f64`
6 998×	`lower-*.f32`
4 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	4674
1	1487	4581
2	5247	4378
0	8431	3923

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 428

Calls

Call 1

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

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

rewrite493.0ms (5.1%)

Memory

20.8MiB live, 773.9MiB allocated

Rules

5 918×	`lower-fma.f32`
5 904×	`lower-fma.f64`
4 302×	`lower-*.f32`
4 282×	`lower-*.f64`
3 260×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	247
0	77	239
1	325	208
2	2509	208
0	8562	196

Stop Event

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

Counts

20 → 1 091

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (expm1.f64 (*.f64 a x))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 a x))) #s(literal 1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 (*.f64 a x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))) (neg.f64 (expm1.f64 (.f64 a x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal 2 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) #s(literal 2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))) #s(literal -2 binary64)) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 (log.f64 (pow.f64 (E.f64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (E.f64) x)) a))
(expm1.f64 (.f64 (log.f64 (.f64 (E.f64) (E.f64))) (.f64 (.f64 a x) #s(literal 1/2 binary64))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(expm1.f64 (fma.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)) (.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (.f64 (pow.f64 (E.f64) (.f64 (*.f64 a x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 a x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 (.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (pow.f64 #s(literal 1 binary64) (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (.f64 a x)) (pow.f64 (cbrt.f64 (E.f64)) (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 a x)) (pow.f64 (sqrt.f64 (E.f64)) (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 (.f64 a x) #s(literal 1/2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (E.f64) (E.f64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 (E.f64)) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 (E.f64) (/.f64 a #s(literal 2 binary64))) x) (pow.f64 (pow.f64 (E.f64) (/.f64 a #s(literal 2 binary64))) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (expm1.f64 (+.f64 x x))) (/.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(fma.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 (.f64 a x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))))
(neg.f64 (neg.f64 (expm1.f64 (*.f64 a x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
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(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/27 binary64)) #s(literal 8 binary64))) (-.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 (.f64 a #s(literal 4/3 binary64)) (+.f64 x x))))
(/.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal -4 binary64))) (fma.f64 a (.f64 x #s(literal 4/3 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/27 binary64)) #s(literal 8 binary64)) (.f64 x x)) (-.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 (.f64 a #s(literal 4/3 binary64)) (+.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal -4 binary64)) (.f64 x x)) (fma.f64 a (.f64 x #s(literal 4/3 binary64)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/27 binary64))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 x x) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64)))) (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64)))) (-.f64 (.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x))) (.f64 (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64)))) (*.f64 x (+.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64)))) (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64))))) (.f64 (.f64 x (+.f64 x x)) (.f64 x (+.f64 x x))))) (neg.f64 (-.f64 (.f64 x (.f64 x (.f64 (.f64 a x) #s(literal 4/3 binary64)))) (*.f64 x (+.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/27 binary64)) #s(literal 8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 (.f64 a #s(literal 4/3 binary64)) (+.f64 x x)))))
(/.f64 (neg.f64 (.f64 (.f64 x x) (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 a (.f64 x #s(literal 4/3 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 64/27 binary64)) #s(literal 8 binary64)) (.f64 x x))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 (.f64 a #s(literal 4/3 binary64)) (+.f64 x x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a x)) #s(literal 16/9 binary64) #s(literal -4 binary64)) (.f64 x x))) (neg.f64 (fma.f64 a (.f64 x #s(literal 4/3 binary64)) #s(literal -2 binary64))))
(.f64 x (.f64 x (fma.f64 (*.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))))
(.f64 (.f64 x x) (fma.f64 (*.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64)))
(.f64 (fma.f64 (.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (.f64 x (fma.f64 (*.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))) x)

eval312.0ms (3.2%)

Memory: 9.7MiB live, 431.6MiB allocated
Compiler: Compiled 45 749 to 3 963 computations (91.3% saved)

prune235.0ms (2.4%)

Memory

22.7MiB live, 455.1MiB allocated

Pruning

32 alts after pruning (26 fresh and 6 done)

	Pruned	Kept	Total
New	1 540	15	1 555
Fresh	4	11	15
Picked	4	1	5
Done	1	5	6
Total	1 549	32	1 581

Accuracy

99.9%

Counts

1 581 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.4%	(fma.f64 (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) (pow.f64 (E.f64) (.f64 (.f64 a x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
	52.4%	(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 a x) #s(literal 1/2 binary64))) #s(literal -1 binary64))
	43.9%	(pow.f64 (pow.f64 (expm1.f64 (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (E.f64) (.f64 a x)) #s(literal 1 binary64)))
✓	99.5%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	4.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (*.f64 a x)))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
	20.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	21.0%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	50.0%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (fma.f64 a (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
	49.6%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
	29.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
	4.5%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
✓	19.3%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	99.9%	(expm1.f64 (*.f64 a x))
	4.0%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 (+.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (*.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))) a) x) x) a #s(literal 1 binary64)))
	4.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)))
	3.7%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))) a))) #s(literal 1 binary64)))
	3.1%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a #s(approx (+ (* a (* (* x x) (+ (* (* a 4/3) x) 2))) (* 2 x)) (.f64 x (fma.f64 a (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
	4.1%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 x (fma.f64 a (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
	20.2%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 a (.f64 x (*.f64 x #s(literal 2 binary64))))))
	19.0%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 2 binary64)))))))
✓	3.3%	#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))
	62.1%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)))
	67.3%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a)))
	68.6%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
	62.4%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)))
	18.8%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) #s(approx (* a (+ (* a (* (* x x) (+ (* (* a 1/6) x) 1/2))) x)) (.f64 (.f64 x x) (.f64 x (.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
	18.5%	#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) #s(approx (* a (+ (* a (* (* x x) (+ (* (* a 1/6) x) 1/2))) x)) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a a))))))
	62.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
✓	68.1%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 1 256 to 464 computations (63.1% saved)

regimes105.0ms (1.1%)

Memory

-41.4MiB live, 117.0MiB allocated

Counts

53 → 1

Calls

Call 1

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

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

Calls

5 calls:

30.0ms	x
24.0ms	(*.f64 a x)
22.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
14.0ms	a
11.0ms	(exp.f64 (*.f64 a x))

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes65.0ms (0.7%)

Memory

-19.0MiB live, 140.0MiB allocated

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (*.f64 a x) #s(literal 1 binary64)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 x (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 a (.f64 x (*.f64 x #s(literal 2 binary64))))))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 x (fma.f64 a (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (*.f64 a x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(approx (+ (* 2 (* (+ (* a (* x x)) x) a)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 2 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a x)) a)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 #s(literal 2 binary64) (.f64 (fma.f64 a (.f64 x x) x) a) #s(literal 1 binary64)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a #s(approx (+ (* a (* (* x x) (+ (* (* a 4/3) x) 2))) (* 2 x)) (.f64 x (fma.f64 a (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* a (* 1/2 (* x x))) x)) 1) (.f64 a (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) #s(approx (* a (+ (* a (* (* x x) (+ (* (* a 1/6) x) 1/2))) x)) (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/6 binary64) (*.f64 a a))))))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) x) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #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)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x)))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 (+.f64 (fma.f64 x (.f64 (.f64 x (fma.f64 (*.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))) a) x) x) a #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (fma.f64 a (.f64 x (fma.f64 a (.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) (*.f64 x x) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) #s(approx (* a (+ (* a (* (* x x) (+ (* (* a 1/6) x) 1/2))) x)) (.f64 (.f64 x x) (.f64 x (.f64 a (fma.f64 a #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))))))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* a (+ (* (* a x) (* x (+ (* a (* x 1/6)) 1/2))) x)) 1)) (.f64 (.f64 x x) (.f64 (.f64 a (*.f64 a x)) #s(literal 1/6 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 x (.f64 (.f64 x (fma.f64 (.f64 a x) #s(literal 4/3 binary64) #s(literal 2 binary64))) a))) #s(literal 1 binary64)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 a #s(literal 1/24 binary64)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)))) x)))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 (.f64 x (.f64 x x)) x)) (*.f64 a #s(literal 1/24 binary64)))) x)))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 a x)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 a x) a) x (-.f64 #s(literal 1 binary64) (*.f64 a x))))) #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (exp (* a x)) -1))) (.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 1/24 binary64)) (.f64 (.f64 a (.f64 a a)) #s(literal 1/6 binary64))) (.f64 (.f64 a a) #s(literal 1/2 binary64))) a)))

Outputs

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

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

Calls

5 calls:

15.0ms	x
12.0ms	(*.f64 a x)
12.0ms	a
11.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
9.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
83.3%	2	`a`
77.6%	2	`x`
97.7%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.7%	2	`(exp.f64 (*.f64 a x))`
97.7%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes34.0ms (0.4%)

Memory

4.1MiB live, 42.4MiB allocated

Counts

26 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms	(*.f64 a x)
6.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
97.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.6%	2	`(exp.f64 (*.f64 a x))`
97.6%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes37.0ms (0.4%)

Memory

5.6MiB live, 42.3MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

24.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms	(*.f64 a x)
6.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
97.3%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.3%	2	`(exp.f64 (*.f64 a x))`
97.3%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes26.0ms (0.3%)

Memory

22.5MiB live, 60.2MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`x`
68.1%	1	`a`
68.1%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
68.1%	1	`(exp.f64 (*.f64 a x))`
68.1%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes12.0ms (0.1%)

Memory

-20.0MiB live, 20.7MiB allocated

Counts

2 → 1

Calls

Call 1

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

6.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	a
2.0ms	x
1.0ms	(*.f64 a x)
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
19.3%	1	`a`
19.3%	1	`(*.f64 a x)`
19.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
19.3%	1	`(exp.f64 (*.f64 a x))`
19.3%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #s(literal 1 binary64))

Outputs
#s(approx (/ (- (exp (* a (+ x x))) 1) (+ (exp (* a x)) 1)) #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
3.3%	1	`(*.f64 a x)`
3.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
3.3%	1	`(exp.f64 (*.f64 a x))`
3.3%	1	`a`
3.3%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1522389147985765	-0.02201433320624267

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1522389147985765	-0.02201433320624267

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.1522389147985765	-0.02201433320624267

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify10.0ms (0.1%)

Memory

-13.7MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
16×	`sub-neg_binary64`
14×	`+-commutative_binary64`
8×	`neg-sub0_binary64`
8×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	244
1	79	244
2	94	244
3	108	244
4	112	244
5	113	244

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.7s (18%)

Memory

7.4MiB live, 1 043.0MiB allocated

Rules

22 104×	`lower-fma.f64`
22 104×	`lower-fma.f32`
20 428×	`lower-fma.f64`
20 428×	`lower-fma.f32`
8 560×	`lower-fma.f64`

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	27	176
0	49	176
1	219	176
2	1715	176
0	8262	176
0	351	4805
1	1163	4766
2	4068	4601
0	8343	4074
0	412	4674
1	1487	4581
2	5247	4378
0	8431	3923
0	46	247
0	77	239
1	325	208
2	2509	208
0	8562	196
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 420 to 199 computations (52.6% saved)

preprocess90.0ms (0.9%)

Memory: 4.8MiB live, 115.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 284 to 96 computations (66.2% 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%)

analyze17.0ms (0.2%)

sample570.0ms (5.9%)

explain72.0ms (0.7%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize18.0ms (0.2%)

series5.0ms (0.1%)

simplify592.0ms (6.2%)

rewrite110.0ms (1.1%)

eval22.0ms (0.2%)

prune25.0ms (0.3%)

simplify72.0ms (0.7%)

localize98.0ms (1%)

series36.0ms (0.4%)

simplify461.0ms (4.8%)

rewrite597.0ms (6.2%)

eval126.0ms (1.3%)

prune92.0ms (1%)

simplify308.0ms (3.2%)

localize153.0ms (1.6%)

series49.0ms (0.5%)

simplify465.0ms (4.8%)

rewrite368.0ms (3.8%)

eval242.0ms (2.5%)

prune208.0ms (2.2%)

simplify331.0ms (3.4%)

localize536.0ms (5.6%)

series266.0ms (2.8%)

simplify588.0ms (6.1%)

rewrite493.0ms (5.1%)

eval312.0ms (3.2%)

prune235.0ms (2.4%)

regimes105.0ms (1.1%)

regimes65.0ms (0.7%)

regimes34.0ms (0.4%)

regimes37.0ms (0.4%)

regimes26.0ms (0.3%)

regimes12.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.7s (18%)

preprocess90.0ms (0.9%)

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