Metrics for expax (section 3.5)

analyze56.0ms (0.6%)

Memory

-34.9MiB live, 13.8MiB 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)

sample567.0ms (6.4%)

Memory

47.5MiB live, 788.6MiB allocated

Samples

328.0ms	8 256×	0	valid
12.0ms	300×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-mult: 73.0ms (42.2% of total)

ival-expm1: 62.0ms (35.8% of total)

ival->: 29.0ms (16.8% of total)

exact: 7.0ms (4% of total)

ival-assert: 3.0ms (1.7% of total)

Bogosity

preprocess30.0ms (0.3%)

Memory

-26.7MiB live, 15.9MiB 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)

explain66.0ms (0.7%)

Memory

24.3MiB live, 100.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
119	1	(-3.2878420737752428e-62 -7.232973653271175e-262)	-	`(-.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	120	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	119	0
-	2	135

Precision

0.9834710743801653

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	0
-	2	0	135

Precision?

0.9834710743801653

Recall?

1.0

Freqs

test

number	freq
0	135
1	121

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-expm1: 5.0ms (37.1% of total)

ival-exp: 4.0ms (29.7% of total)

ival-mult: 4.0ms (29.7% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	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)

localize21.0ms (0.2%)

Memory

-9.5MiB live, 26.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	57.9%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

15.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 5.0ms (59.1% of total)

ival-exp: 2.0ms (23.7% of total)

ival-expm1: 2.0ms (23.7% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

6.2MiB live, 6.2MiB 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
0.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	a	@	inf	(* a x)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	inf	(* a x)
0.0ms	a	@	0	(* a x)

simplify303.0ms (3.4%)

Memory

-9.7MiB live, 229.1MiB 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)

rewrite90.0ms (1%)

Memory

12.4MiB live, 86.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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)

eval41.0ms (0.5%)

Memory: -21.0MiB live, 34.5MiB allocated
Compiler: Compiled 3 258 to 324 computations (90.1% saved)

prune27.0ms (0.3%)

Memory

7.2MiB live, 44.5MiB 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

100.0%

Counts

184 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.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))))))))
	99.9%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	99.7%	(/.f64 (expm1.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))))))
	21.6%	(-.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))
▶	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	59.6%	#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)))
▶	58.6%	#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)))
	58.7%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	64.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 364 to 192 computations (47.3% saved)

simplify767.0ms (8.6%)

Memory

12.3MiB live, 987.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

36 004×	`lower-fma.f32`
35 992×	`lower-fma.f64`
7 304×	`lower-+.f64`
7 304×	`lower-+.f32`
3 348×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	236
0	52	236
1	117	236
2	334	236
3	1047	236
4	1826	236
5	3413	236
6	4825	236
7	4866	236
8	4880	236
9	4880	236
10	6980	236
0	8072	236

Stop Event

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

localize97.0ms (1.1%)

Memory

20.5MiB live, 214.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.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)))
✓	accuracy	96.7%	(.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))
✓	accuracy	92.6%	(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)
✓	accuracy	63.4%	#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)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	97.0%	(.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))
✓	accuracy	87.0%	(.f64 a (.f64 x x))
✓	accuracy	64.5%	#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)))
✓	accuracy	100.0%	(fma.f64 a x #s(literal 1 binary64))
✓	accuracy	63.7%	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
✓	accuracy	57.9%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	63.2%	#s(approx (exp (* a x)) #s(literal 1 binary64))
✓	accuracy	57.9%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Samples

54.0ms

256×

valid

Compiler

Compiled 212 to 29 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 19.0ms (53.1% of total)

ival-add: 7.0ms (19.6% of total)

const: 6.0ms (16.8% of total)

ival-exp: 2.0ms (5.6% of total)

ival-expm1: 2.0ms (5.6% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.3%)

Memory

-11.0MiB live, 40.3MiB allocated

Counts

17 → 396

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 #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)))>
#<alt (.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))>
#<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))>
#<alt #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)))>
#<alt (.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))>
#<alt (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)>
#<alt (.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))))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (.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)))>

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

Calls

99 calls:

Time	Variable		Point	Expression
6.0ms	a	@	-inf	(* a (+ (* a (* x (* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2)))) x))
2.0ms	a	@	inf	(* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))
1.0ms	a	@	0	(* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x))
1.0ms	x	@	-inf	(+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x)
1.0ms	a	@	-inf	(* a (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x))

simplify673.0ms (7.5%)

Memory

5.0MiB live, 672.8MiB allocated

Algorithm

1×	egg-herbie

Rules

19 422×	`lower-fma.f64`
19 422×	`lower-fma.f32`
6 286×	`lower-*.f64`
6 286×	`lower-*.f32`
3 662×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	4125
1	1116	4042
2	3763	3970
0	8170	3544

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 392

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

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

rewrite447.0ms (5%)

Memory

37.3MiB live, 417.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 138×	`lower-*.f32`
5 122×	`lower-*.f64`
4 800×	`lower-fma.f32`
4 788×	`lower-fma.f64`
4 314×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	192
0	52	192
1	221	192
2	1698	192
0	8435	192

Stop Event

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

Counts

17 → 409

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))
#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)))
(.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))
(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))
#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 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))
(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 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))))
(*.f64 x #s(literal 1/6 binary64))
(.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)))

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

eval133.0ms (1.5%)

Memory: -12.3MiB live, 278.4MiB allocated
Compiler: Compiled 24 632 to 1 852 computations (92.5% saved)

prune137.0ms (1.5%)

Memory

15.3MiB live, 255.7MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	869	16	885
Fresh	3	3	6
Picked	2	3	5
Done	0	0	0
Total	874	22	896

Accuracy

100.0%

Counts

896 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.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))))))))
	21.7%	(/.f64 (.f64 (-.f64 (.f64 (.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)))) (.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)) #s(literal 1 binary64)) (.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) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
	21.9%	(/.f64 #s(literal 1 binary64) (/.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))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.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))))
▶	22.7%	(/.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))))
	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.6%	(-.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))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	21.8%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
	22.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
▶	22.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
	21.7%	(-.f64 #s(approx (exp (* a x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 x (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	21.8%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
	22.3%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	21.9%	(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.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 (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)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	64.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
	64.4%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
	60.2%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
▶	64.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 979 to 399 computations (59.2% saved)

simplify261.0ms (2.9%)

Memory

-10.9MiB live, 421.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x)))))
✓	cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))
✓	cost-diff	448	(-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (*.f64 a x))))
✓	cost-diff	0	#s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x))))
✓	cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
✓	cost-diff	1984	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a 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 (.f64 a x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
✓	cost-diff	320	(fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))

Rules

8 268×	`lower-fma.f32`
8 258×	`lower-fma.f64`
4 134×	`lower-*.f32`
4 122×	`lower-*.f64`
1 802×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	398
0	59	361
1	113	333
2	258	328
3	744	328
4	2001	328
5	2669	328
6	4974	328
7	7282	328
0	8095	312

Stop Event

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

Calls

Call 1

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

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

localize219.0ms (2.5%)

Memory

17.0MiB live, 294.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.7%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	76.3%	(.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))
✓	accuracy	63.7%	#s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x)))))
✓	accuracy	57.9%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
✓	accuracy	94.7%	(.f64 a (.f64 x (*.f64 a x)))
✓	accuracy	80.6%	(/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))
✓	accuracy	63.7%	#s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x))))
✓	accuracy	57.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
✓	accuracy	99.1%	(/.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	63.7%	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
✓	accuracy	57.9%	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	64.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
✓	accuracy	99.9%	(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	93.6%	(.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))
✓	accuracy	64.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))

Samples

88.0ms	76×	1	valid
53.0ms	77×	2	valid
22.0ms	101×	0	valid
2.0ms	2×	3	valid

Compiler

Compiled 282 to 32 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 72.0ms (55% of total)

ival-exp: 17.0ms (13% of total)

adjust: 13.0ms (9.9% of total)

ival-add: 11.0ms (8.4% of total)

ival-div: 8.0ms (6.1% of total)

ival-sub: 4.0ms (3.1% of total)

const: 4.0ms (3.1% of total)

ival-expm1: 2.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-5.6MiB live, 32.3MiB allocated

Counts

20 → 480

Calls

Call 1

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

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

Calls

120 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(/ 1 (+ (exp (* a x)) -1))
1.0ms	x	@	inf	(* (+ (* (* a x) (* a (* x (* a x)))) 1) (/ 1 (- (+ (* a (* x (* a x))) 1) (* a x))))
1.0ms	a	@	inf	(* (+ (* (* a x) (* a (* x (* a x)))) 1) (/ 1 (- (+ (* a (* x (* a x))) 1) (* a x))))
1.0ms	x	@	0	(* (+ (* (* a x) (* a (* x (* a x)))) 1) (/ 1 (- (+ (* a (* x (* a x))) 1) (* a x))))
1.0ms	a	@	-inf	(* (+ (* (* a x) (* a (* x (* a x)))) 1) (/ 1 (- (+ (* a (* x (* a x))) 1) (* a x))))

simplify357.0ms (4%)

Memory

13.2MiB live, 369.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 258×	`lower-fma.f64`
13 258×	`lower-fma.f32`
4 958×	`lower-*.f64`
4 958×	`lower-*.f32`
3 584×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	3932
1	827	3902
2	2686	3768
3	7378	3764
0	8027	3306

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 480

Calls

Call 1

Inputs
(* 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 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 (+ (* 1/6 (* 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)
(* 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)
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* 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))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* 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) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* 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))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* 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) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* 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))
(* 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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 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))
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 (* -1 (* (pow a 2) (pow x 2))))
(+ 1 (* -1 (* (pow a 2) (pow x 2))))
(+ 1 (* -1 (* (pow a 2) (pow x 2))))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
(* (pow a 2) (- (/ 1 (pow a 2)) (pow x 2)))
1
(+ 1 (* -1 (* (pow a 2) (pow x 2))))
(+ 1 (* -1 (* (pow a 2) (pow x 2))))
(+ 1 (* -1 (* (pow a 2) (pow x 2))))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
(* -1 (* (pow a 2) (pow x 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow a 2)))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(+ 1 (* a (- (* a (pow x 2)) x)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(* (pow a 2) (- (+ (/ 1 (pow a 2)) (pow x 2)) (/ x a)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* -1 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
(* (pow a 2) (+ (* -1 (/ x a)) (+ (/ 1 (pow a 2)) (pow x 2))))
1
(+ 1 (* -1 (* a x)))
(+ 1 (* x (- (* (pow a 2) x) a)))
(+ 1 (* x (- (* (pow a 2) x) a)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (pow a 2)) (/ a x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* -1 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
(* (pow x 2) (+ (* -1 (/ a x)) (+ (/ 1 (pow x 2)) (pow a 2))))
1
(+ 1 (* a x))
(+ 1 (* a (- (* -1 (* a (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 x))))
(+ 1 (* a (- (* a (- (* -1 (* a (* x (+ (* -1 (pow x 2)) (pow x 2))))) (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 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 (* x (- (* -1 (* x (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(+ 1 (* x (- (* x (- (* -1 (* a (* x (+ (* -1 (pow a 2)) (pow a 2))))) (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 a))))
(* 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))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))
(* (pow a 2) (pow x 2))

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

rewrite411.0ms (4.6%)

Memory

8.2MiB live, 519.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 708×	`lower-fma.f32`
6 698×	`lower-fma.f64`
4 650×	`lower-/.f32`
4 642×	`lower-/.f64`
4 412×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	305
0	59	221
1	275	188
2	2135	188
0	8311	184

Stop Event

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

Counts

20 → 1 042

Calls

Call 1

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

Outputs
(+.f64 (.f64 x a) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(+.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a))
(-.f64 (/.f64 (.f64 x (.f64 a (.f64 x a))) (.f64 x (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) (/.f64 (.f64 (.f64 x (.f64 x a)) (.f64 (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (.f64 x (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x a)) (.f64 (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a))) (/.f64 (.f64 x (.f64 a (.f64 x a))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a))))
(fma.f64 x a (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 x (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (*.f64 x a))
(fma.f64 x (.f64 a #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 a x (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 a (.f64 (.f64 x (.f64 x a)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 a (.f64 x #s(literal 1 binary64)) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 x a) #s(literal 1 binary64) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) (*.f64 x a))
(fma.f64 (.f64 x (.f64 x a)) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 x a))
(fma.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 x (.f64 a (.f64 x a))) (*.f64 x a))
(fma.f64 (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 x (.f64 x a)) (*.f64 x a))
(fma.f64 #s(literal 1 binary64) (.f64 x a) (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 x (.f64 a (.f64 x a))) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x a))
(fma.f64 (.f64 (.f64 x (.f64 x a)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a (*.f64 x a))
(fma.f64 (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) x (*.f64 x a))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
(fma.f64 (.f64 (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) (.f64 x a) (*.f64 x a))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a)) (.f64 x (.f64 a (.f64 x a)))) (.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a)) (.f64 x (.f64 a (.f64 x a)))) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (.f64 (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)) (.f64 x (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a)) (.f64 x (.f64 a (.f64 x a)))) (.f64 (fma.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 x a) (.f64 x (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (.f64 x a)) (.f64 x (.f64 a (.f64 x a)))) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))))
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(.f64 a (+.f64 x (.f64 (.f64 x (.f64 x a)) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(.f64 a (fma.f64 (.f64 x (.f64 x a)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))
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(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)) x) (/.f64 (.f64 x (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))) (-.f64 a (.f64 x (.f64 a (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))))
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(.f64 x (.f64 x (.f64 a (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))))
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(.f64 (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (.f64 x (*.f64 x a)))
(.f64 (.f64 x (.f64 a (.f64 x a))) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
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(.f64 x (.f64 x a))
(.f64 a (.f64 x x))
(.f64 (.f64 x a) x)
(.f64 (.f64 x x) a)
#s(approx (- (exp (* a x)) 1) (*.f64 x a))
(log.f64 (exp.f64 (*.f64 x a)))
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(fma.f64 x a #s(literal 0 binary64))
(fma.f64 x (*.f64 a #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a (*.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x a) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) a #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) a) x #s(literal 0 binary64))
(*.f64 x a)
(.f64 x (.f64 a #s(literal 1 binary64)))
(*.f64 a x)
(.f64 a (.f64 x #s(literal 1 binary64)))
(*.f64 a (log.f64 (exp.f64 x)))
(.f64 (.f64 x a) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x a))
(.f64 (.f64 #s(literal 1 binary64) x) a)
(.f64 (.f64 #s(literal 1 binary64) a) x)
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (+.f64 #s(literal -1 binary64) #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))))
(+.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal -1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
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(-.f64 (/.f64 #s(approx (exp (* a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
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(.f64 #s(approx (exp ( a x)) (fma.f64 x a #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))
(+.f64 (.f64 (.f64 x a) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))) (/.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))))
(fma.f64 x (*.f64 a #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))
(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x a) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64))) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64))) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (.f64 (*.f64 x a) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)) (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 x a) #s(literal 1/6 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 x a) #s(literal 1/12 binary64))) (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/216 binary64) (.f64 x (.f64 x x))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 x a) #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x a)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x a) #s(literal 2 binary64))
(pow.f64 (*.f64 x (neg.f64 a)) #s(literal 2 binary64))
(.f64 x (.f64 a (*.f64 x a)))
(.f64 a (.f64 x (*.f64 x a)))
(.f64 a (.f64 (.f64 x (.f64 x a)) #s(literal 1 binary64)))
(.f64 (.f64 x a) (*.f64 x a))
(.f64 (.f64 x (*.f64 x a)) a)
(.f64 (.f64 x (.f64 x a)) (.f64 a #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x (.f64 a (.f64 x a))))
(.f64 (.f64 x (.f64 a (.f64 x a))) #s(literal 1 binary64))
(.f64 (.f64 x (neg.f64 a)) (*.f64 x (neg.f64 a)))
(.f64 (.f64 a (*.f64 x a)) x)
(.f64 (.f64 #s(literal 1 binary64) a) (.f64 x (.f64 x a)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 x (.f64 x a))) a)
(.f64 (.f64 x x) (*.f64 a a))
(.f64 (.f64 x x) (pow.f64 (*.f64 a #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 a a) (*.f64 x x))
(.f64 (.f64 a a) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) a) #s(literal 2 binary64)) (*.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 a a))

eval258.0ms (2.9%)

Memory: 0.5MiB live, 449.7MiB allocated
Compiler: Compiled 64 443 to 3 303 computations (94.9% saved)

prune198.0ms (2.2%)

Memory

18.4MiB live, 315.0MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	2 013	6	2 019
Fresh	8	6	14
Picked	4	1	5
Done	0	3	3
Total	2 025	16	2 041

Accuracy

100.0%

Counts

2 041 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.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))))))))
	64.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.6%	(-.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))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	56.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
	6.0%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) (.f64 a (.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
	20.8%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	63.3%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
▶	64.5%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))
	60.2%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
▶	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
▶	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
✓	64.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 517 to 254 computations (50.9% saved)

simplify307.0ms (3.4%)

Memory

-3.9MiB live, 303.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)
✓	cost-diff	0	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
✓	cost-diff	0	(.f64 x (.f64 a x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
✓	cost-diff	320	(fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a)))
✓	cost-diff	0	#s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	cost-diff	0	#s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
✓	cost-diff	0	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)
✓	cost-diff	0	#s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))
✓	cost-diff	0	(.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
✓	cost-diff	0	(*.f64 x a)
✓	cost-diff	0	(fma.f64 (.f64 x a) (.f64 a (fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))

Rules

13 294×	`lower-fma.f32`
13 280×	`lower-fma.f64`
4 482×	`lower-+.f64`
4 482×	`lower-+.f32`
2 838×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	461
0	83	453
1	210	451
2	564	451
3	1458	451
4	2410	451
5	4759	451
6	4844	451
7	5077	451
8	6918	451
0	8076	438

Stop Event

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

Calls

Call 1

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

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

localize174.0ms (2%)

Memory

10.7MiB live, 208.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	98.9%	(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)
✓	accuracy	96.7%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x))
✓	accuracy	63.4%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	93.6%	(.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))
✓	accuracy	64.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
✓	accuracy	62.5%	#s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64))
✓	accuracy	80.6%	(/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	accuracy	63.7%	#s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x))))
✓	accuracy	63.2%	#s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64))
✓	accuracy	57.9%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)
✓	accuracy	97.0%	(.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))
✓	accuracy	64.5%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
✓	accuracy	63.1%	#s(approx (+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))
✓	accuracy	99.9%	(.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(fma.f64 (*.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	97.8%	(.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))
✓	accuracy	64.5%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))

Samples

115.0ms

256×

valid

Compiler

Compiled 331 to 49 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

ival-mult: 56.0ms (63.6% of total)

ival-add: 17.0ms (19.3% of total)

const: 7.0ms (7.9% of total)

ival-div: 2.0ms (2.3% of total)

ival-exp: 2.0ms (2.3% of total)

ival-expm1: 2.0ms (2.3% of total)

ival-sub: 2.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory

0.0MiB live, 38.3MiB allocated

Counts

24 → 564

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(* a (+ (* (* x a) 1/6) 1/2))
3.0ms	x	@	0	(+ (* x a) (* (* x (* a x)) (* (+ (* (* a x) 1/6) 1/2) a)))
0.0ms	x	@	-inf	(* x (+ (* (* x a) (* a (+ (* (* x a) 1/6) 1/2))) a))
0.0ms	a	@	inf	(* x (+ (* (* x a) (* a (+ (* (* x a) 1/6) 1/2))) a))
0.0ms	x	@	0	(* x (+ (* (* x a) (* a (+ (* (* x a) 1/6) 1/2))) a))

simplify815.0ms (9.1%)

Memory

-49.9MiB live, 707.8MiB allocated

Algorithm

1×	egg-herbie

Rules

26 346×	`lower-fma.f64`
26 346×	`lower-fma.f32`
8 136×	`lower-*.f64`
8 136×	`lower-*.f32`
3 656×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	6085
1	1293	5946
2	4480	5902
0	8651	5351

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 556

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

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

rewrite484.0ms (5.4%)

Memory

17.0MiB live, 325.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 102×	`lower-*.f32`
6 076×	`lower-*.f64`
4 054×	`lower-/.f32`
4 052×	`lower-/.f64`
3 900×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	393
0	83	386
1	387	372
2	2537	372
0	8261	361

Stop Event

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

Counts

24 → 440

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) a)))
(+.f64 (.f64 a x) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))))
(+.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))) (.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x))))) (-.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))) (.f64 a x))) (/.f64 (.f64 x (.f64 a (.f64 a x))) (-.f64 (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))) (.f64 a x))))
(fma.f64 a x (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (*.f64 a x)))))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (*.f64 a x)))))
(fma.f64 x a (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (*.f64 a x)))))
(fma.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x))) (*.f64 a x))
(fma.f64 #s(literal 1 binary64) (.f64 a x) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))))
(fma.f64 (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a (.f64 x x)) (*.f64 a x))
(fma.f64 (.f64 x x) (.f64 (.f64 a a) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 x (.f64 a (.f64 a x))) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 (.f64 a x) #s(literal 1 binary64) (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))))
(fma.f64 (.f64 a x) (.f64 (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 a x))
(fma.f64 (.f64 a (.f64 x x)) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x))) x (*.f64 a x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (*.f64 a x))
(fma.f64 (.f64 #s(literal 1 binary64) a) x (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))))
(fma.f64 (.f64 #s(literal 1 binary64) x) a (.f64 x (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)))))
(fma.f64 (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x) (*.f64 a x))
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (/.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (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 (.f64 (fma.f64 #s(literal 1/10077696 binary64) (.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 a x)) (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a))))) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) (.f64 a x)) #s(literal 1/1728 binary64)))) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a)))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 a x)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))))
(+.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (-.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a #s(literal 1/2 binary64)))) (/.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) (-.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a #s(literal 1/2 binary64)))))
(fma.f64 a #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a x))))
(fma.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x)) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 x (.f64 (.f64 a #s(literal 1/6 binary64)) a) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a x)) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) a (.f64 a (.f64 #s(literal 1/6 binary64) (*.f64 a x))))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a a) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 a x)) a (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 (.f64 a x) (.f64 a #s(literal 1/6 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 (.f64 a a) (.f64 x #s(literal 1/6 binary64)) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 (.f64 a (.f64 a x)) #s(literal 1/6 binary64) (*.f64 a #s(literal 1/2 binary64)))
(fma.f64 (.f64 a #s(literal 1/6 binary64)) (.f64 a x) (*.f64 a #s(literal 1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64))) (fma.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (*.f64 a #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a #s(literal 1/2 binary64))))
(/.f64 (.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))
(/.f64 (.f64 a (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)) a) (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) a) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 a (.f64 a a)))) (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)))) (neg.f64 (fma.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (-.f64 (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))) (.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (*.f64 a #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x)))) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 a #s(literal 1/2 binary64))))) (neg.f64 (-.f64 (.f64 a (.f64 #s(literal 1/6 binary64) (.f64 a x))) (.f64 a #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 a (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 a (.f64 a a))) #s(literal 1/8 binary64)) a)) (neg.f64 (-.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 a (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) a)) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
#s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

eval129.0ms (1.4%)

Memory: 11.1MiB live, 238.7MiB allocated
Compiler: Compiled 27 990 to 1 832 computations (93.5% saved)

prune97.0ms (1.1%)

Memory

-0.2MiB live, 243.0MiB allocated

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	1 031	7	1 038
Fresh	3	4	7
Picked	2	3	5
Done	0	4	4
Total	1 036	18	1 054

Accuracy

100.0%

Counts

1 054 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.9%	(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.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))))))))
	56.1%	(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)))
	64.0%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
	21.1%	(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
	21.5%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 x x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	22.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	6.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) (.f64 x (.f64 (.f64 a (neg.f64 a)) x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
✓	56.1%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
	20.8%	(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
✓	20.4%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	64.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) a) x))
	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a)))
✓	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
✓	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
	63.3%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
	21.0%	#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 x (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
✓	64.0%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 1 088 to 320 computations (70.6% saved)

regimes56.0ms (0.6%)

Memory

-7.2MiB live, 107.2MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 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)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
#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 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 x (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) a) x))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 x x) (.f64 a (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) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) (.f64 x (.f64 (.f64 a (neg.f64 a)) x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) (.f64 a (.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.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 (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)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.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(approx (exp (* a x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 x (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.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)))) (.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)) #s(literal 1 binary64)) (.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) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #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 #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.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))))))))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 25 to 17 computations (32% saved)

regimes55.0ms (0.6%)

Memory

9.7MiB live, 87.3MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 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)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
#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 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 x (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) a) x))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 x x) (.f64 a (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) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) (.f64 x (.f64 (.f64 a (neg.f64 a)) x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) (.f64 a (.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.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 (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)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))
(/.f64 (fma.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))) (-.f64 #s(literal 1 binary64) (.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))) (fma.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) (.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(approx (exp (* a x)) (/.f64 (.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 a (.f64 x (*.f64 a x)) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (.f64 (-.f64 (.f64 (.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)))) (.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)) #s(literal 1 binary64)) (.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) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))

Outputs

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

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

Calls

5 calls:

14.0ms	a
12.0ms	(exp.f64 (*.f64 a x))
10.0ms	x
9.0ms	(*.f64 a x)
8.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
81.6%	2	`a`
80.5%	2	`x`
98.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.4%	2	`(exp.f64 (*.f64 a x))`
98.4%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes30.0ms (0.3%)

Memory

5.5MiB live, 41.7MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (*.f64 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)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x))))
#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 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a)))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 #s(approx (+ (* (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 a #s(approx (+ ( (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x) (.f64 x (.f64 x (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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 (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a)))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (.f64 x (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) a))
#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a x)) a) x))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64)) (fma.f64 a 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))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 x x) (.f64 a (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) (fma.f64 x a (.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) (.f64 x (.f64 (.f64 a (neg.f64 a)) x))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 a (.f64 x (.f64 a x)))) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (*.f64 a x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- (+ ( a (* x (* a x))) 1) (* a x)) (.f64 a (.f64 a (*.f64 x x))))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x)))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (.f64 a x))))) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (exp ( a x)) (fma.f64 a x #s(literal 1 binary64))) (.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 (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)) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))))))

Outputs

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

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

Calls

3 calls:

12.0ms	(exp.f64 (*.f64 a x))
8.0ms	(*.f64 a x)
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.4%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.4%	2	`(exp.f64 (*.f64 a x))`
98.4%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.3%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.3%	2	`(exp.f64 (*.f64 a x))`
98.3%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes19.0ms (0.2%)

Memory

-10.2MiB live, 27.0MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	(*.f64 a x)
3.0ms	a
3.0ms	x
2.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
64.0%	1	`x`
64.0%	1	`a`
64.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
64.0%	1	`(exp.f64 (*.f64 a x))`
64.0%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.4%	1	`a`
20.4%	1	`x`
20.4%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.4%	1	`(exp.f64 (*.f64 a x))`
20.4%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch18.0ms (0.2%)

Memory

-56.2MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
17.0ms	-242.07094105219446	-2.2770263222279e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-242.07094105219446	-2.2770263222279e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-242.07094105219446	-2.2770263222279e-6

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
18×	`*-commutative_binary64`
18×	`sub-neg_binary64`
10×	`neg-sub0_binary64`
10×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	228
1	62	228
2	79	228
3	93	228
4	98	228
5	99	228

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (/.f64 (fma.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64))) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a x) (.f64 a (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 x a) (.f64 a (fma.f64 (.f64 x a) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a x) (.f64 a (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal 1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) a))))
(if (<=.f64 (.f64 a x) #s(literal -200 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (- 1 (* a (* x (* a x)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 a x)))) #s(literal -1 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) #s(approx (+ ( (* a x) 1/6) 1/2) #s(literal 1/2 binary64)) 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(literal -1 binary64) #s(approx (exp (* a x)) #s(literal 1 binary64)))

soundness1.4s (16%)

Memory

46.7MiB live, 719.1MiB allocated

Rules

13 258×	`lower-fma.f64`
13 258×	`lower-fma.f32`
8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
6 708×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	3932
1	827	3902
2	2686	3768
3	7378	3764
0	8027	3306
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	35	305
0	59	221
1	275	188
2	2135	188
0	8311	184
0	52	393
0	83	386
1	387	372
2	2537	372
0	8261	361
0	30	192
0	52	192
1	221	192
2	1698	192
0	8435	192
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 383 to 171 computations (55.4% saved)

preprocess52.0ms (0.6%)

Memory: -9.6MiB live, 110.1MiB allocated
Remove: (sort a x)
Compiler: Compiled 312 to 90 computations (71.2% 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

analyze56.0ms (0.6%)

sample567.0ms (6.4%)

preprocess30.0ms (0.3%)

explain66.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize21.0ms (0.2%)

series4.0ms (0%)

simplify303.0ms (3.4%)

rewrite90.0ms (1%)

eval41.0ms (0.5%)

prune27.0ms (0.3%)

simplify767.0ms (8.6%)

localize97.0ms (1.1%)

series27.0ms (0.3%)

simplify673.0ms (7.5%)

rewrite447.0ms (5%)

eval133.0ms (1.5%)

prune137.0ms (1.5%)

simplify261.0ms (2.9%)

localize219.0ms (2.5%)

series22.0ms (0.2%)

simplify357.0ms (4%)

rewrite411.0ms (4.6%)

eval258.0ms (2.9%)

prune198.0ms (2.2%)

simplify307.0ms (3.4%)

localize174.0ms (2%)

series23.0ms (0.3%)

simplify815.0ms (9.1%)

rewrite484.0ms (5.4%)

eval129.0ms (1.4%)

prune97.0ms (1.1%)

regimes56.0ms (0.6%)

regimes55.0ms (0.6%)

regimes30.0ms (0.3%)

regimes12.0ms (0.1%)

regimes19.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch18.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.4s (16%)

preprocess52.0ms (0.6%)

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