Metrics for expax (section 3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze18.0ms (0.2%)

Memory

6.9MiB live, 46.1MiB 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)

sample603.0ms (6.3%)

Memory

-1.4MiB live, 1 185.4MiB allocated

Samples

302.0ms	8 256×	0	valid
16.0ms	314×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-mult: 69.0ms (45.6% of total)

ival-expm1: 50.0ms (33.1% of total)

ival->: 21.0ms (13.9% of total)

exact: 7.0ms (4.6% of total)

ival-assert: 4.0ms (2.6% of total)

Bogosity

explain66.0ms (0.7%)

Memory

18.5MiB live, 96.5MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	136	0

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	136	0	0
-	0	0	120

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

27.0ms

512×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-mult: 6.0ms (46.5% of total)

ival-exp: 4.0ms (31% of total)

ival-expm1: 3.0ms (23.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.2%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort a x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

prune10.0ms (0.1%)

Memory

-38.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.5%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	20	16
0	20	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

22.8MiB live, 22.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 a x)
accuracy	0.012382519536884034	(exp.f64 (*.f64 a x))
accuracy	30.38656859171324	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

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

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

ival-expm1: 1.0ms (17.8% 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

5.8MiB live, 5.8MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

simplify303.0ms (3.2%)

Memory

-11.9MiB live, 223.4MiB 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)

rewrite86.0ms (0.9%)

Memory

-1.0MiB live, 77.2MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: -1.3MiB live, 36.2MiB allocated
Compiler: Compiled 3 258 to 324 computations (90.1% saved)

prune24.0ms (0.2%)

Memory

7.7MiB live, 46.1MiB 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
	100.0%	(/.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 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
	19.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) #s(literal 1 binary64))
▶	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
▶	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	100.0%	(.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)))))
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	62.9%	#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)))
▶	61.9%	#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)))
	61.9%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
	66.8%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 316 to 188 computations (40.5% saved)

simplify876.0ms (9.2%)

Memory

-33.9MiB live, 794.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

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

Rules

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)

localize89.0ms (0.9%)

Memory

30.7MiB live, 144.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.5055122549397233	(.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	1.1930117506419866	(.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	4.7969505296248744	(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	21.278987260801955	#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	0.328125	(*.f64 x #s(literal 1/6 binary64))
accuracy	0.9912589889191981	(.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	8.678744281035039	(.f64 a (.f64 x x))
accuracy	20.624019303194483	#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	0	(fma.f64 a x #s(literal 1 binary64))
accuracy	21.342339993789395	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.38656859171324	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
accuracy	21.740275997237937	#s(approx (exp (* a x)) #s(literal 1 binary64))
accuracy	30.38656859171324	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 a x)
accuracy	0.015625	(expm1.f64 (*.f64 a x))

Samples

53.0ms

256×

valid

Compiler

Compiled 212 to 29 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 19.0ms (53.5% of total)

ival-add: 7.0ms (19.7% of total)

const: 6.0ms (16.9% 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)

series33.0ms (0.3%)

Memory

-23.8MiB live, 50.1MiB 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))))))>
#<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)>
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#<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
2.0ms	x	@	0	(- (exp (* a x)) 1)
2.0ms	a	@	inf	(* x (+ (* (* a x) (+ (* (* a x) 1/24) 1/6)) 1/2))
1.0ms	x	@	-inf	(+ (* (* a (* x x)) (+ (* a (* x 1/6)) 1/2)) x)
1.0ms	a	@	0	(* a (+ (* (* 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))

simplify478.0ms (5%)

Memory

20.9MiB live, 543.2MiB 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)))
(.f64 a (.f64 (.f64 x x) (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a a)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
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(* 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)))

rewrite340.0ms (3.6%)

Memory

20.6MiB live, 403.0MiB allocated

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 (1.4%)

Memory: -10.8MiB live, 187.7MiB allocated
Compiler: Compiled 24 632 to 1 852 computations (92.5% saved)

prune108.0ms (1.1%)

Memory

-0.8MiB live, 160.2MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	867	18	885
Fresh	5	1	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
▶	19.5%	(/.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 (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)))))
	19.3%	(/.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))))))
	19.8%	(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
▶	20.2%	(/.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))))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	19.3%	(-.f64 #s(approx (exp (* a x)) (/.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))
	19.8%	(-.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))
	19.4%	(-.f64 #s(approx (exp (* a x)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
	19.7%	(-.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))
	19.2%	(-.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))
	19.3%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) #s(literal 1 binary64))))) #s(literal 1 binary64))
	20.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
▶	19.8%	(-.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))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
	19.5%	(.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))
▶	67.7%	#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))))
	67.7%	#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))
	60.7%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
	66.7%	#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)))
	66.3%	#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))))
▶	66.8%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 955 to 385 computations (59.7% saved)

simplify262.0ms (2.7%)

Memory

-9.7MiB live, 386.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
cost-diff	0	(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))
cost-diff	0	(/.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 (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)))))
cost-diff	384	(+.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))))
cost-diff	0	(fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64))
cost-diff	0	#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)))))
cost-diff	0	(-.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))
cost-diff	2048	(.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))))
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

10 926×	`lower-fma.f32`
10 912×	`lower-fma.f64`
2 528×	`lower-*.f32`
2 524×	`lower-/.f32`
2 516×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	411
0	57	340
1	104	338
2	209	324
3	571	324
4	1662	324
5	3016	324
6	6668	324
0	8262	316

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

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

localize211.0ms (2.2%)

Memory

15.7MiB live, 170.8MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(.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))))
accuracy	0.16796875	(/.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 (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)))))
accuracy	21.34233999378941	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.339960653096586	(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))
accuracy	0.45762494159913697	(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))
accuracy	11.061968078471855	(.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))))
accuracy	21.342339993789395	#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)))))
accuracy	30.38656859171324	(-.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))
accuracy	0.12109375	(/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)))
accuracy	0.6666570208360385	(/.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	21.34233999378941	#s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64)))
accuracy	30.38656859171324	(+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
accuracy	0	(*.f64 a x)
accuracy	21.239901946797442	#s(approx (- (exp (* a x)) 1) (*.f64 a x))
accuracy	0.10546875	(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.171875	(.f64 x (.f64 a x))
accuracy	4.773453024921966	(.f64 (.f64 x (.f64 a x)) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))
accuracy	20.624019303194483	#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

86.0ms	80×	2	valid
32.0ms	77×	1	valid
21.0ms	94×	0	valid
6.0ms	5×	3	valid

Compiler

Compiled 271 to 33 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-div: 40.0ms (35.1% of total)

ival-mult: 19.0ms (16.7% of total)

ival-exp: 18.0ms (15.8% of total)

adjust: 16.0ms (14% of total)

ival-add: 14.0ms (12.3% of total)

const: 4.0ms (3.5% of total)

ival-expm1: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.5%)

Memory

4.6MiB live, 42.0MiB 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 (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))))>
#<alt (-.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))>
#<alt #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)))))>
#<alt (fma.f64 (.f64 a x) (.f64 a x) #s(literal -1 binary64))>
#<alt (+.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))))>
#<alt (/.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 (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)))))>
#<alt (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))>
#<alt (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))>
#<alt (.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))))>

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)))>
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#<alt (* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* x (- (+ (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (* x (- (* 1/3 (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2)))))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))>
#<alt (* a (+ x (* 2 x)))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))))))))>
#<alt (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (+ (* 4 (pow x 3)) (* a (+ (* 1/24 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 2/3 (pow x 4)) (+ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow x 4)))))))))))))))))>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (* x (+ a (* 2 a)))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))))))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3)))))))))))>
#<alt (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (+ (* 4 (pow a 3)) (* x (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4)))))))))))))))))>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<alt (- (pow (exp (* a x)) 3) 1)>
#<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>
#<alt (- (* -1 (* a x)) 1)>
#<alt (- (* a (- (* -1 (* a (pow x 2))) x)) 1)>
#<alt (- (* a (- (* a (- (* -1 (* a (pow x 3))) (pow x 2))) x)) 1)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)>
#<alt (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)>
#<alt (/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))) a)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (+ (/ 1 (* (pow a 2) (pow x 4))) (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt -1>
#<alt (- (* -1 (* a x)) 1)>
#<alt (- (* x (- (* -1 (* (pow a 2) x)) a)) 1)>
#<alt (- (* x (- (* x (- (* -1 (* (pow a 3) x)) (pow a 2))) a)) 1)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)>
#<alt (/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))) x)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (+ (/ 1 (* (pow a 4) (pow x 2))) (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))))>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt 1>
#<alt (+ 1 (* 2 (* a x)))>
#<alt (+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3))))))))>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>
#<alt (pow (exp (* a x)) 2)>

Calls

120 calls:

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

simplify625.0ms (6.6%)

Memory

24.8MiB live, 591.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 356×	`lower-fma.f64`
12 356×	`lower-fma.f32`
5 734×	`lower-*.f64`
5 734×	`lower-*.f32`
4 180×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	520	5264
1	1728	5038
2	6199	4986
0	8098	4476

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
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
3
(+ 3 (* a (+ x (* 2 x))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))))))
(+ 3 (* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 2 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3)))))))))))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
3
(+ 3 (* x (+ a (* 2 a))))
(+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))))))
(+ 3 (* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 2 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (pow a 3)))))))))))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2)))
(* 1/3 (* a (+ x (* 2 x))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* a (- (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(* a (+ (* 1/3 (+ x (* 2 x))) (* a (- (+ (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* a (- (+ (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (* a (- (* 1/3 (+ (* 1/24 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 2/3 (pow x 4)) (+ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow x 4))))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (pow x 3))))) (+ (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/3 (* (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2)))))))))) (+ (* 1/9 (* (+ x (* 2 x)) (+ (* 1/2 (pow x 2)) (* 2 (pow x 2))))) (* 1/3 (* (+ x (* 2 x)) (- (* 1/3 (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))) (* 1/9 (pow (+ x (* 2 x)) 2))))))))) (* 1/9 (pow (+ x (* 2 x)) 2))))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(* 1/3 (* x (+ a (* 2 a))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* x (- (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(* x (+ (* 1/3 (+ a (* 2 a))) (* x (- (+ (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* x (- (+ (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (* x (- (* 1/3 (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (pow a 3))))) (+ (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/3 (* (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2)))))))))) (+ (* 1/9 (* (+ a (* 2 a)) (+ (* 1/2 (pow a 2)) (* 2 (pow a 2))))) (* 1/3 (* (+ a (* 2 a)) (- (* 1/3 (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))) (* 1/9 (pow (+ a (* 2 a)) 2))))))))) (* 1/9 (pow (+ a (* 2 a)) 2))))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(/ (- (pow (exp (* a x)) 3) 1) (+ 1 (+ (exp (* a x)) (pow (exp (* a x)) 2))))
(* a (+ x (* 2 x)))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (* 4 (pow x 2)))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 4 (pow x 3)))))))))))
(* a (+ x (+ (* 2 x) (* a (+ (* 1/2 (pow x 2)) (+ (* 4 (pow x 2)) (* a (+ (* 1/6 (pow x 3)) (+ (* 1/3 (pow x 3)) (+ (* 4 (pow x 3)) (* a (+ (* 1/24 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (pow x 4)) (+ (* 2/3 (pow x 4)) (+ (* x (+ (* 1/3 (pow x 3)) (pow x 3))) (pow x 4)))))))))))))))))
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(* x (+ a (* 2 a)))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (* 4 (pow a 2)))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (* 4 (pow a 3)))))))))))
(* x (+ a (+ (* 2 a) (* x (+ (* 1/2 (pow a 2)) (+ (* 4 (pow a 2)) (* x (+ (* 1/6 (pow a 3)) (+ (* 1/3 (pow a 3)) (+ (* 4 (pow a 3)) (* x (+ (* 1/24 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (pow a 4)) (+ (* 2/3 (pow a 4)) (+ (* a (+ (* 1/3 (pow a 3)) (pow a 3))) (pow a 4)))))))))))))))))
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
(- (pow (exp (* a x)) 3) 1)
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
(- (* -1 (* a x)) 1)
(- (* a (- (* -1 (* a (pow x 2))) x)) 1)
(- (* a (- (* a (- (* -1 (* a (pow x 3))) (pow x 2))) x)) 1)
(/ 1 (* a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (/ 1 (* (pow a 2) (pow x 3))))) a)
(/ (+ (/ 1 x) (+ (/ 1 (* a (pow x 2))) (+ (/ 1 (* (pow a 2) (pow x 3))) (/ 1 (* (pow a 3) (pow x 4)))))) a)
(/ 1 (* a x))
(/ (+ (/ 1 x) (/ 1 (* a (pow x 2)))) a)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (/ 1 (pow x 2))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* a (pow x 3))) (+ (/ 1 (* (pow a 2) (pow x 4))) (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
-1
(- (* -1 (* a x)) 1)
(- (* x (- (* -1 (* (pow a 2) x)) a)) 1)
(- (* x (- (* x (- (* -1 (* (pow a 3) x)) (pow a 2))) a)) 1)
(/ 1 (* a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (/ 1 (* (pow a 3) (pow x 2))))) x)
(/ (+ (/ 1 a) (+ (/ 1 (* (pow a 2) x)) (+ (/ 1 (* (pow a 3) (pow x 2))) (/ 1 (* (pow a 4) (pow x 3)))))) x)
(/ 1 (* a x))
(/ (+ (/ 1 a) (/ 1 (* (pow a 2) x))) x)
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (/ 1 (pow a 2))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow a 3) x)) (+ (/ 1 (* (pow a 4) (pow x 2))) (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
1
(+ 1 (* 2 (* a x)))
(+ 1 (* a (+ (* 2 x) (* 2 (* a (pow x 2))))))
(+ 1 (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 1/3 (pow x 3)) (pow x 3))))))))
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
1
(+ 1 (* 2 (* a x)))
(+ 1 (* x (+ (* 2 a) (* 2 (* (pow a 2) x)))))
(+ 1 (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 1/3 (pow a 3)) (pow a 3))))))))
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)
(pow (exp (* a x)) 2)

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

rewrite544.0ms (5.7%)

Memory

14.5MiB live, 807.3MiB allocated

Rules

6 168×	`lower-fma.f32`
6 154×	`lower-fma.f64`
4 678×	`lower-/.f32`
4 670×	`lower-/.f64`
3 922×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	338
0	57	226
1	249	212
2	1863	212
0	8443	208

Stop Event

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

Counts

20 → 1 105

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

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

eval281.0ms (3%)

Memory: 34.0MiB live, 414.0MiB allocated
Compiler: Compiled 78 656 to 3 424 computations (95.6% saved)

prune235.0ms (2.5%)

Memory

-21.7MiB live, 298.7MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1 962	5	1 967
Fresh	10	4	14
Picked	3	2	5
Done	0	3	3
Total	1 975	14	1 989

Accuracy

100.0%

Counts

1 989 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	10.7%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 x (.f64 x (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	6.2%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
▶	50.2%	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	67.7%	#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))))
▶	67.7%	#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))
	61.7%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x (.f64 a a)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
	60.7%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
	66.7%	#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)))
▶	66.3%	#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))))
✓	66.8%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 373 to 202 computations (45.8% saved)

simplify413.0ms (4.3%)

Memory

4.2MiB live, 525.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))
cost-diff	0	(/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)
cost-diff	0	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
cost-diff	0	#s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x))))
cost-diff	0	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	320	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
cost-diff	0	#s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64))
cost-diff	0	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
cost-diff	0	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
cost-diff	320	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.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 (.f64 a x))
cost-diff	0	(fma.f64 (.f64 x (.f64 a x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
cost-diff	0	(.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)
cost-diff	0	#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))

Rules

16 210×	`lower-fma.f32`
16 198×	`lower-fma.f64`
4 284×	`lower-*.f32`
4 262×	`lower-*.f64`
2 162×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	478
0	82	472
1	167	460
2	318	460
3	621	460
4	899	460
5	1270	460
6	1536	460
7	1944	460
8	3500	460
9	5650	460
10	7918	460
0	8019	444

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (2.6%)

Memory

12.0MiB live, 328.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.109375	(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
accuracy	0.6666570208360385	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
accuracy	6.194932853720916	(/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)
accuracy	20.26877712357944	#s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x))
accuracy	11.061968078471855	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
accuracy	21.342339993789395	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
accuracy	30.38656859171324	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
accuracy	42.137510806870104	#s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x))))
accuracy	11.061968078471855	(.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))
accuracy	21.342339993789395	#s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))
accuracy	21.64317761243047	#s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64))
accuracy	30.38656859171324	(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
accuracy	0.0546875	(fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)
accuracy	0.9912589889191981	(.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	20.624019303194483	#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	21.64778427597215	#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	0.10546875	(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.171875	(.f64 x (.f64 a x))
accuracy	0.9912589889191981	(.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)
accuracy	20.624019303194483	#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))

Samples

106.0ms	78×	2	valid
43.0ms	78×	1	valid
33.0ms	95×	0	valid
5.0ms	5×	3	valid

Compiler

Compiled 300 to 46 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-exp: 59.0ms (40.9% of total)

ival-mult: 27.0ms (18.7% of total)

adjust: 21.0ms (14.6% of total)

ival-add: 16.0ms (11.1% of total)

ival-div: 11.0ms (7.6% of total)

const: 7.0ms (4.9% of total)

ival-expm1: 2.0ms (1.4% of total)

exact: 1.0ms (0.7% of total)

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

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

series54.0ms (0.6%)

Memory

-27.7MiB live, 60.0MiB allocated

Counts

22 → 528

Calls

Call 1

Inputs
#<alt #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))>
#<alt (.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)>
#<alt (fma.f64 (.f64 x (.f64 a x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)>
#<alt (.f64 x (.f64 a x))>
#<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 (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))>
#<alt (-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))>
#<alt #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64))>
#<alt (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))>
#<alt (-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))>
#<alt #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64)))))>
#<alt #s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))>
#<alt #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x))>
#<alt (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)>
#<alt (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))>
#<alt (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))>
#<alt (fma.f64 (*.f64 a x) #s(literal 1/12 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))))))>
#<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 x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* 1/2 a) (/ 1 x)))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)>
#<alt (/ (+ (* 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)>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)>
#<alt (/ (+ (* 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)>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a)) x)>
#<alt (* 1/12 (* a x))>
#<alt (* x (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* a x))>
#<alt (* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) x)) (* -1/12 a))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) x)) (* -1/12 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* 1/12 (* a x)) 1/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* 1/12 (* a x)) 1/2)) (/ 1 x)) a)>
#<alt (* 1/12 (* a x))>
#<alt (* a (- (* 1/12 x) (* 1/2 (/ 1 a))))>
#<alt (* a (- (+ (* 1/12 x) (/ 1 (* (pow a 2) x))) (* 1/2 (/ 1 a))))>
#<alt (* a (- (+ (* 1/12 x) (/ 1 (* (pow a 2) x))) (* 1/2 (/ 1 a))))>
#<alt (* 1/12 (* a x))>
#<alt (* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) a)) (* -1/12 x))))>
#<alt (* -1 (* a (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) a)) (* -1/12 x))))>
#<alt (/ 1 a)>
#<alt (+ (* -1/2 x) (/ 1 a))>
#<alt (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a))>
#<alt (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a))>
#<alt (* 1/12 (* a (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* a (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a)))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1/2 (* a x))) a)>
#<alt (/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a)>
#<alt (/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a)>
#<alt (* 1/12 (* a (pow x 2)))>
#<alt (* a (+ (* -1/2 (/ x a)) (* 1/12 (pow x 2))))>
#<alt (* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))>
#<alt (* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))>
#<alt (* 1/12 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1/12 (pow x 2)) (* 1/2 (/ x a)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 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 -1/2>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (* 1/12 (* a x))>
#<alt (* a (- (* 1/12 x) (* 1/2 (/ 1 a))))>
#<alt (* a (- (* 1/12 x) (* 1/2 (/ 1 a))))>
#<alt (* a (- (* 1/12 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/12 (* a x))>
#<alt (* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))>
#<alt -1/2>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (- (* 1/12 (* a x)) 1/2)>
#<alt (* 1/12 (* a x))>
#<alt (* x (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 1/12 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/12 (* a x))>
#<alt (* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))>

Calls

132 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(+ (* x (* a (* x 1/2))) x)
5.0ms	x	@	0	(+ (* x (* a (* x 1/2))) x)
1.0ms	x	@	-inf	(/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x)
1.0ms	x	@	0	(/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x)
0.0ms	x	@	inf	(/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x)

simplify453.0ms (4.8%)

Memory

-0.4MiB live, 644.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 398×	`lower-fma.f64`
19 398×	`lower-fma.f32`
5 800×	`lower-*.f64`
5 800×	`lower-*.f32`
4 366×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	5072
1	1029	5016
2	3425	4814
0	8671	4238

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 522

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)))))
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 (* 1/2 (* 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))))
(* 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 (+ (* 1/6 (* 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)))))
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
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
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
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (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 (* 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))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a)) x)
(* 1/12 (* a x))
(* x (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* x (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))
(* x (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))
(* 1/12 (* a x))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) x)) (* -1/12 a))))
(* -1 (* x (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) x)) (* -1/12 a))))
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* 1/12 (* a x)) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* 1/12 (* a x)) 1/2)) (/ 1 x)) a)
(* 1/12 (* a x))
(* a (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* a (- (+ (* 1/12 x) (/ 1 (* (pow a 2) x))) (* 1/2 (/ 1 a))))
(* a (- (+ (* 1/12 x) (/ 1 (* (pow a 2) x))) (* 1/2 (/ 1 a))))
(* 1/12 (* a x))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) a)) (* -1/12 x))))
(* -1 (* a (+ (* -1 (/ (- (/ 1 (* a x)) 1/2) a)) (* -1/12 x))))
(/ 1 a)
(+ (* -1/2 x) (/ 1 a))
(+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a))
(+ (* x (- (* 1/12 (* a x)) 1/2)) (/ 1 a))
(* 1/12 (* a (pow x 2)))
(* (pow x 2) (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))
(* (pow x 2) (- (+ (* 1/12 a) (/ 1 (* a (pow x 2)))) (* 1/2 (/ 1 x))))
(* 1/12 (* a (pow x 2)))
(* (pow x 2) (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a)))
(* (pow x 2) (+ (* -1 (/ (- 1/2 (/ 1 (* a x))) x)) (* 1/12 a)))
(/ 1 a)
(/ (+ 1 (* -1/2 (* a x))) a)
(/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a)
(/ (+ 1 (* a (+ (* -1/2 x) (* 1/12 (* a (pow x 2)))))) a)
(* 1/12 (* a (pow x 2)))
(* a (+ (* -1/2 (/ x a)) (* 1/12 (pow x 2))))
(* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))
(* a (+ (* -1/2 (/ x a)) (+ (* 1/12 (pow x 2)) (/ 1 (pow a 2)))))
(* 1/12 (* a (pow x 2)))
(* -1 (* a (+ (* -1/12 (pow x 2)) (* 1/2 (/ x a)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ (+ (* -1/2 x) (/ 1 a)) a)) (* -1/12 (pow x 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)))))
-1/2
(- (* 1/12 (* a x)) 1/2)
(- (* 1/12 (* a x)) 1/2)
(- (* 1/12 (* a x)) 1/2)
(* 1/12 (* a x))
(* a (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* a (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* a (- (* 1/12 x) (* 1/2 (/ 1 a))))
(* 1/12 (* a x))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
-1/2
(- (* 1/12 (* a x)) 1/2)
(- (* 1/12 (* a x)) 1/2)
(- (* 1/12 (* a x)) 1/2)
(* 1/12 (* a x))
(* x (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* x (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* x (- (* 1/12 a) (* 1/2 (/ 1 x))))
(* 1/12 (* a x))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 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 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 (.f64 a (pow.f64 x #s(literal 4 binary64))) (.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 a (.f64 a #s(literal 1/2 binary64)) (.f64 x (fma.f64 #s(literal 1/24 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 a (*.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 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 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 (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a a))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #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 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 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 (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a a))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(.f64 (-.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)))))
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1/2
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
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(+ 1/2 (* 1/6 (* a x)))
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(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
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-1/2
#s(literal -1/2 binary64)
(- (* 1/12 (* a x)) 1/2)
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(- (* 1/12 (* a x)) 1/2)
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(.f64 (.f64 a x) #s(literal 1/12 binary64))
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
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(.f64 (.f64 a x) #s(literal 1/12 binary64))
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* -1 (* a (+ (* -1/12 x) (* 1/2 (/ 1 a)))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/12 (* a x)) 1/2)
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(- (* 1/12 (* a x)) 1/2)
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(- (* 1/12 (* a x)) 1/2)
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* 1/12 (* a x))
(.f64 (.f64 a x) #s(literal 1/12 binary64))
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
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(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* x (- (* 1/12 a) (* 1/2 (/ 1 x))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* 1/12 (* a x))
(.f64 (.f64 a x) #s(literal 1/12 binary64))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(* -1 (* x (+ (* -1/12 a) (* 1/2 (/ 1 x)))))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))

rewrite503.0ms (5.3%)

Memory

43.4MiB live, 512.8MiB allocated

Rules

6 402×	`lower-fma.f32`
6 390×	`lower-fma.f64`
4 066×	`lower-*.f32`
4 044×	`lower-*.f64`
3 398×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	406
0	82	364
1	351	364
2	2148	364
0	8178	356

Stop Event

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

Counts

22 → 461

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)))
(+.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(+.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(+.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x))
(+.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (.f64 a x))
(fma.f64 a x (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 a x (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(fma.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(fma.f64 x a (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(fma.f64 x a (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a))
(fma.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a (*.f64 a x))
(/.f64 (.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (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)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))) (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 a (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x)))) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (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)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) a) (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))) a) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x)))
(/.f64 (neg.f64 (.f64 a (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (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)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 a (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))) (neg.f64 (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (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)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x))) a)) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))) a)) (neg.f64 (fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))
(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) (pow.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64))) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 (.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 (.f64 a x) (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))) (pow.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) #s(literal 3 binary64))) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)) (.f64 (.f64 a x) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)))))
(/.f64 (+.f64 (pow.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))))) (fma.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 a (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) #s(literal 3 binary64)) (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x))))) (fma.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (-.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a) (.f64 a x)))))
(.f64 a (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(.f64 (fma.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) a)
(+.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(+.f64 (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x)))) (fma.f64 a (.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(+.f64 (+.f64 x (.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))))) (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 a (.f64 x (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 a (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 a (.f64 (.f64 x x) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 a (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a (.f64 x x))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 x (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 x (.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 a x) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 x x))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 a x) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 a (.f64 (.f64 x x) #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)
(fma.f64 (.f64 a (.f64 x x)) (.f64 a (.f64 x #s(literal 1/6 binary64))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 a (.f64 x x))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (*.f64 x x)) x)
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a (.f64 a (.f64 x x))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a (.f64 x x)) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 a (.f64 a (.f64 x x))) (.f64 x #s(literal 1/6 binary64)) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 x x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x)
(fma.f64 (.f64 x x) (.f64 a (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 x (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a x)
(fma.f64 (.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x x)
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 x x)) a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) (.f64 a x)) x (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) a) (.f64 x x) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) x) (.f64 a x) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a) (*.f64 x x) x)
(fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (*.f64 a x) x)
(fma.f64 (.f64 (.f64 a (.f64 x x)) (.f64 a x)) #s(literal 1/6 binary64) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) #s(literal 1/6 binary64)) (.f64 a x) (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) (.f64 x #s(literal 1/6 binary64))) a (fma.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (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)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 x (.f64 x x)))))
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(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x 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 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 a (.f64 x 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 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x 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 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #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 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 a (.f64 a (.f64 x 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 #s(literal -1/2 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))
(+.f64 (.f64 (.f64 a x) #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))) (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 a (.f64 (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 a x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/12 binary64)) a #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/12 binary64) a) x #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (*.f64 a x) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (.f64 (*.f64 a x) #s(literal -1/24 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64))) (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (.f64 (.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64)) (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) #s(literal -1/24 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/1728 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal -1/24 binary64))))))
(.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/144 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/2 binary64))))

eval241.0ms (2.5%)

Memory: -31.8MiB live, 207.0MiB allocated
Compiler: Compiled 26 234 to 1 833 computations (93% saved)

prune145.0ms (1.5%)

Memory

7.6MiB live, 210.4MiB allocated

Pruning

16 alts after pruning (8 fresh and 8 done)

	Pruned	Kept	Total
New	978	5	983
Fresh	1	3	4
Picked	2	3	5
Done	0	5	5
Total	981	16	997

Accuracy

100.0%

Counts

997 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.1%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) (/.f64 (fma.f64 x (fma.f64 (*.f64 a x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)))
	51.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x) (fma.f64 a (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) #s(literal -1/2 binary64)))))
✓	20.2%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal 1 binary64))
	6.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	50.2%	(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	21.2%	(-.f64 #s(approx (exp (* a x)) (.f64 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
	39.5%	(-.f64 #s(approx (exp (* a x)) (.f64 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))) (fma.f64 a x #s(literal 1 binary64)))) #s(literal 1 binary64))
✓	17.8%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	67.7%	#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))))
✓	67.7%	#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))
	61.7%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x (.f64 a a)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
	60.7%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a)))
	66.7%	#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)))
✓	66.3%	#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))))
✓	66.8%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 1 005 to 308 computations (69.4% saved)

regimes56.0ms (0.6%)

Memory

22.7MiB live, 137.1MiB allocated

Counts

40 → 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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (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)))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x (.f64 a a)) (fma.f64 a (.f64 x #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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.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))
#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 (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #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 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))) (fma.f64 a x #s(literal 1 binary64)))) #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(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x) (fma.f64 a (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) #s(approx (exp (* a x)) (fma.f64 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 (*.f64 a 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 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 x (.f64 x (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #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 (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 (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 #s(approx (exp (* a x)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #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 #s(approx (exp (* a x)) (.f64 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a (.f64 x (.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 (+.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 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))

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

Calls

5 calls:

13.0ms	x
12.0ms	(*.f64 a x)
11.0ms	a
10.0ms	(-.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)

regimes52.0ms (0.5%)

Memory

-3.6MiB live, 111.7MiB allocated

Counts

35 → 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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (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)))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x (.f64 a a)) (fma.f64 a (.f64 x #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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.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))
#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 (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #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 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))) (fma.f64 a x #s(literal 1 binary64)))) #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(literal 1 binary64) #s(approx (/ 1 (+ (exp (* a x)) -1)) #s(approx (/ (+ (* x (+ (* (* a x) 1/12) -1/2)) (/ 1 a)) x) (fma.f64 a (fma.f64 x #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a x)))) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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))) #s(approx (exp (* a x)) (fma.f64 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 (*.f64 a 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 #s(approx (+ ( (* a x) (* a x)) -1) (.f64 x (.f64 x (fma.f64 a a (/.f64 #s(literal -1 binary64) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #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 (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 (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 #s(approx (exp (* a x)) (/.f64 (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))))) #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 #s(approx (exp (* a x)) (.f64 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 a x) #s(literal -1 binary64)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a (.f64 x (.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 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #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 (*.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)))

Calls

5 calls:

12.0ms	(*.f64 a x)
11.0ms	a
10.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
9.0ms	x
8.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
77.8%	2	`a`
80.9%	2	`x`
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 25 to 17 computations (32% saved)

regimes19.0ms (0.2%)

Memory

11.0MiB live, 50.1MiB allocated

Counts

22 → 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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (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)))
(-.f64 #s(approx (exp (* a x)) (.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (exp (* a x)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 x (.f64 a a)) (fma.f64 a (.f64 x #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))
(-.f64 #s(approx (exp (* a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(-.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))
#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 (+ ( (* a x) (* a x)) -1) (.f64 a (.f64 a (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal -1 binary64))))) #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 (/.f64 #s(approx (+ ( (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))) (fma.f64 a x #s(literal 1 binary64)))) #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)))

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.2%	2	`(exp.f64 (*.f64 a x))`
98.2%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes18.0ms (0.2%)

Memory

-43.8MiB live, 11.6MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

#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))

Calls

3 calls:

9.0ms	(*.f64 a x)
4.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
4.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
98.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.2%	2	`(exp.f64 (*.f64 a x))`
98.2%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes11.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
97.8%	2	`(exp.f64 (*.f64 a x))`
97.8%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.1%)

Memory

18.8MiB live, 18.8MiB allocated

Counts

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
96.9%	2	`(exp.f64 (*.f64 a x))`
96.9%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes10.0ms (0.1%)

Memory

-12.7MiB live, 26.2MiB allocated

Counts

3 → 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))

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

Calls

5 calls:

3.0ms	(*.f64 a x)
2.0ms	x
2.0ms	a
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
66.8%	1	`a`
66.8%	1	`x`
66.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
66.8%	1	`(exp.f64 (*.f64 a x))`
66.8%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
17.8%	1	`(*.f64 a x)`
17.8%	1	`x`
17.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
17.8%	1	`(exp.f64 (*.f64 a x))`
17.8%	1	`a`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-30.62394162219462	-0.21710038705925197

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch17.0ms (0.2%)

Memory

-37.2MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
17.0ms	-30.62394162219462	-0.21710038705925197

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-30.62394162219462	-0.21710038705925197

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	-30.62394162219462	-0.21710038705925197

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.6266612074651573e-6	-2.2755266287798638e-12

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

24×	`*-commutative_binary64`
6×	`sub-neg_binary64`
4×	`+-commutative_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	283
1	77	283
2	81	283
3	87	283

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #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 (.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))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a 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)))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #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)))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))))
(if (<=.f64 (.f64 a x) #s(literal -4722366482869645/4722366482869645213696 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#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 -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #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 (.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))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #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 (.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))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a 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)))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a 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 a (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #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)))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #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 (.f64 x (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))))
(if (<=.f64 (.f64 a x) #s(literal -20 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (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) (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))))
(if (<=.f64 (.f64 a x) #s(literal -4722366482869645/4722366482869645213696 binary64)) (-.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -4722366482869645/4722366482869645213696 binary64)) (+.f64 #s(approx (exp ( a x)) (/.f64 #s(approx (+ (* (* a x) (* a x)) -1) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(approx (- (exp (* a x)) 1) (*.f64 a x)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness1.8s (18.5%)

Memory

37.3MiB live, 1 017.5MiB allocated

Rules

19 422×	`lower-fma.f64`
19 422×	`lower-fma.f32`
12 356×	`lower-fma.f64`
12 356×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	327	4125
1	1116	4042
2	3763	3970
0	8170	3544
0	53	406
0	82	364
1	351	364
2	2148	364
0	8178	356
0	520	5264
1	1728	5038
2	6199	4986
0	8098	4476
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 479 to 226 computations (52.8% saved)

preprocess62.0ms (0.6%)

Memory: -12.3MiB live, 151.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 382 to 114 computations (70.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze18.0ms (0.2%)

sample603.0ms (6.3%)

explain66.0ms (0.7%)

preprocess17.0ms (0.2%)

eval0.0ms (0%)

prune10.0ms (0.1%)

simplify4.0ms (0%)

localize18.0ms (0.2%)

series4.0ms (0%)

simplify303.0ms (3.2%)

rewrite86.0ms (0.9%)

eval21.0ms (0.2%)

prune24.0ms (0.2%)

simplify876.0ms (9.2%)

localize89.0ms (0.9%)

series33.0ms (0.3%)

simplify478.0ms (5%)

rewrite340.0ms (3.6%)

eval133.0ms (1.4%)

prune108.0ms (1.1%)

simplify262.0ms (2.7%)

localize211.0ms (2.2%)

series47.0ms (0.5%)

simplify625.0ms (6.6%)

rewrite544.0ms (5.7%)

eval281.0ms (3%)

prune235.0ms (2.5%)

simplify413.0ms (4.3%)

localize249.0ms (2.6%)

series54.0ms (0.6%)

simplify453.0ms (4.8%)

rewrite503.0ms (5.3%)

eval241.0ms (2.5%)

prune145.0ms (1.5%)

regimes56.0ms (0.6%)

regimes52.0ms (0.5%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch17.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.8s (18.5%)

preprocess62.0ms (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