Metrics for expax (section 3.5)

analyze18.0ms (0.2%)

Memory

-10.7MiB live, 28.1MiB 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)

sample586.0ms (6.4%)

Memory

0.1MiB live, 984.4MiB allocated

Samples

345.0ms	8 256×	0	valid
13.0ms	315×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

ival-mult: 68.0ms (44.2% of total)

ival-expm1: 54.0ms (35.1% of total)

ival->: 22.0ms (14.3% of total)

exact: 7.0ms (4.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess17.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB 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)

explain96.0ms (1.1%)

Memory

-5.6MiB live, 154.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
135	-	-	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
2	-	-	`(exp.f64 (*.f64 a x))`
0	-	-	`a`
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	135	0
`exp.f64`	`(exp.f64 (*.f64 a x))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	135	0
-	2	119

Precision

0.9854014598540146

Recall

1.0

Confusion?

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

Precision?

0.9854014598540146

Recall?

1.0

Freqs

test

number	freq
0	119
1	137

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

53.0ms

512×

valid

Compiler

Compiled 52 to 28 computations (46.2% saved)

Precisions

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

ival-exp: 4.0ms (33.8% of total)

ival-mult: 4.0ms (33.8% of total)

ival-expm1: 3.0ms (25.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.5MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize29.0ms (0.3%)

Memory

-20.3MiB live, 18.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(exp.f64 (*.f64 a x))
✓	accuracy	52.2%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

22.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 12.0ms (74.4% of total)

ival-exp: 2.0ms (12.4% of total)

ival-expm1: 2.0ms (12.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.5MiB live, 5.5MiB 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	@	inf	(* a x)
0.0ms	a	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	0	(- (exp (* a x)) 1)
0.0ms	x	@	inf	(* a x)
0.0ms	a	@	0	(* a x)

simplify314.0ms (3.5%)

Memory

1.3MiB live, 241.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 72

Calls

Call 1

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

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

rewrite85.0ms (0.9%)

Memory

24.1MiB live, 104.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 111

Calls

Call 1

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

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

eval20.0ms (0.2%)

Memory: -2.1MiB live, 36.2MiB allocated
Compiler: Compiled 3 186 to 324 computations (89.8% saved)

prune17.0ms (0.2%)

Memory

0.5MiB live, 38.3MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	179	4	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	4	184

Accuracy

100.0%

Counts

184 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	100.0%	(expm1.f64 (*.f64 a x))
▶	64.8%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
▶	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify17.0ms (0.2%)

Memory

-19.1MiB live, 21.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Rules

246×	`lower-*.f32`
238×	`lower-*.f64`
140×	`associate-r`
116×	`lower-fma.f32`
114×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	81
0	25	81
1	47	81
2	74	81
3	125	81
4	171	81
5	186	81
6	192	81
7	252	81
8	255	81
0	255	81

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize44.0ms (0.5%)

Memory

-5.4MiB live, 69.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	68.8%	#s(approx (exp (* a x)) #s(literal 1 binary64))
✓	accuracy	52.2%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	97.7%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
✓	accuracy	91.0%	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	68.5%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Samples

23.0ms

256×

valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

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

ival-mult: 8.0ms (62.7% of total)

ival-exp: 2.0ms (15.7% of total)

ival-expm1: 2.0ms (15.7% of total)

ival-add: 1.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

9 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

simplify358.0ms (3.9%)

Memory

-1.0MiB live, 506.7MiB allocated

Algorithm

1×	egg-herbie

Rules

15 056×	`lower-fma.f64`
15 056×	`lower-fma.f32`
4 204×	`lower-*.f64`
4 204×	`lower-*.f32`
2 118×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1572
1	275	1572
2	729	1552
3	1636	1552
4	3185	1552
5	7038	1552
0	8372	1328

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

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

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

rewrite346.0ms (3.8%)

Memory

39.1MiB live, 398.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 172×	`lower-fma.f32`
7 170×	`lower-fma.f64`
5 030×	`lower-*.f32`
5 022×	`lower-*.f64`
2 394×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	67
0	25	67
1	83	67
2	492	67
3	4598	67
0	8291	67

Stop Event

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

Counts

9 → 381

Calls

Call 1

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

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

eval71.0ms (0.8%)

Memory: -12.2MiB live, 99.1MiB allocated
Compiler: Compiled 12 591 to 1 031 computations (91.8% saved)

prune86.0ms (0.9%)

Memory

-8.5MiB live, 110.7MiB allocated

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	628	10	638
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	629	13	642

Accuracy

100.0%

Counts

642 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	68.5%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
	36.2%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (-.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
	29.5%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
	64.6%	#s(approx (- (exp (* a x)) 1) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
▶	36.1%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
▶	69.6%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
	43.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
▶	48.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
▶	68.5%	#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 474 to 239 computations (49.6% saved)

simplify645.0ms (7.1%)

Memory

-23.4MiB live, 489.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
✓	cost-diff	128	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
✓	cost-diff	448	(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))
✓	cost-diff	960	(.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
✓	cost-diff	0	(sqrt.f64 x)
✓	cost-diff	0	(.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	cost-diff	1600	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	cost-diff	0	(.f64 (.f64 a x) a)
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
✓	cost-diff	320	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	cost-diff	0	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
✓	cost-diff	0	(.f64 a (.f64 a x))
✓	cost-diff	0	(fma.f64 (.f64 a (.f64 a x)) (fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (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) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))

Rules

18 604×	`lower-fma.f32`
18 592×	`lower-fma.f64`
6 602×	`lower-*.f32`
6 570×	`lower-*.f64`
2 730×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	397
0	74	369
1	169	355
2	504	355
3	1963	355
4	3637	347
0	8068	333

Stop Event

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

Calls

Call 1

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

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

localize136.0ms (1.5%)

Memory

25.7MiB live, 216.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.3%	(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	71.7%	(.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)))
✓	accuracy	69.7%	(fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
✓	accuracy	99.6%	(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓	accuracy	97.7%	(.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
✓	accuracy	88.3%	(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(.f64 (.f64 a x) a)
✓	accuracy	92.9%	(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
✓	accuracy	97.7%	(.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)))
✓	accuracy	99.9%	(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 a (.f64 a x))
✓	accuracy	99.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))
✓	accuracy	69.6%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))

Samples

62.0ms	213×	0	valid
15.0ms	43×	0	invalid

Compiler

Compiled 326 to 42 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 34.0ms (63.9% of total)

ival-add: 7.0ms (13.2% of total)

const: 4.0ms (7.5% of total)

ival-div: 2.0ms (3.8% of total)

ival-expm1: 2.0ms (3.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.4%)

Memory

5.7MiB live, 45.4MiB allocated

Counts

23 → 528

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(* x (+ (* (* a (* a x)) (+ (* (* a x) 1/6) 1/2)) a))
2.0ms	x	@	inf	(+ (* a (* x 1/2)) 1)
1.0ms	x	@	0	(* x (+ (* (* a (* a x)) (+ (* (* a x) 1/6) 1/2)) a))
1.0ms	a	@	0	(* (* a (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x)))) (/ 1 (- (* a (* 1/2 (* x x))) x)))
1.0ms	a	@	inf	(* (* a (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x)))) (/ 1 (- (* a (* 1/2 (* x x))) x)))

simplify497.0ms (5.5%)

Memory

-25.5MiB live, 452.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 118×	`lower-fma.f64`
17 118×	`lower-fma.f32`
5 614×	`lower-*.f64`
5 614×	`lower-*.f32`
2 252×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	4534
1	748	4524
2	2402	4424
3	7834	4424
0	8022	3977

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

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

rewrite641.0ms (7.1%)

Memory

62.9MiB live, 705.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 888×	`lower-fma.f32`
8 876×	`lower-fma.f64`
6 372×	`lower-*.f32`
6 338×	`lower-*.f64`
4 220×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	295
0	74	248
1	271	240
2	2009	240
0	9287	223

Stop Event

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

Counts

23 → 1 208

Calls

Call 1

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

Outputs
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)))
(+.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x))
(-.f64 (/.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x))) (/.f64 (.f64 a (.f64 x (.f64 a x))) (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x))))
(fma.f64 a x (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 a (.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) (*.f64 a x))
(fma.f64 a (log.f64 (exp.f64 x)) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 x a (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 x (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))
(fma.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 a x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x) (*.f64 a x))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 x (.f64 a x))) (*.f64 a x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 x) (log.f64 (exp.f64 (.f64 a (sqrt.f64 x)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x (*.f64 a x))
(fma.f64 (.f64 a (.f64 x (.f64 a x))) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x))
(fma.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a (.f64 a x)) (*.f64 a x))
(fma.f64 (.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 x)) (sqrt.f64 x) (.f64 a x))
(/.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a 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 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) (fma.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a (.f64 x (.f64 a x)))) (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x)))
(/.f64 (.f64 x (fma.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 a (.f64 a a)))) (fma.f64 a (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (.f64 x (.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 a (.f64 a a))) x) (fma.f64 a (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) x) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a 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 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (*.f64 a x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 a (.f64 x (.f64 a x))))) (neg.f64 (-.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 a x))))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 a (.f64 a a))))) (neg.f64 (fma.f64 a (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))))
(/.f64 (neg.f64 (.f64 x (.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))) (neg.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (.f64 a (.f64 a a))) x)) (neg.f64 (fma.f64 a (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (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 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) x)) (neg.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))
(/.f64 (fma.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a 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))))))) (fma.f64 a (.f64 x (.f64 a x)) (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (.f64 (.f64 a x) (.f64 (.f64 a x) (.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))))
(.f64 x (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a))
(.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) x)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)))
(.f64 (.f64 (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a) (sqrt.f64 x)) (sqrt.f64 x))
(+.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) a)
(+.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x #s(literal 1/6 binary64))))) (fma.f64 (.f64 a x) (*.f64 a #s(literal 1/2 binary64)) a))
(+.f64 (+.f64 a (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x #s(literal 1/6 binary64)))))) (.f64 (.f64 a (.f64 a x)) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))) (/.f64 (.f64 a a) (fma.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 a))))
(-.f64 (/.f64 (.f64 a a) (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 a (.f64 a x)) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))) (-.f64 a (.f64 (.f64 a x) (.f64 a (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(fma.f64 a (.f64 (.f64 a 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 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 a (.f64 (.f64 x #s(literal 1/6 binary64)) (.f64 a (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 (.f64 a x) (.f64 a (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)
(fma.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 (.f64 a x) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)
(fma.f64 (.f64 a (.f64 a x)) (.f64 a (.f64 x #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) (.f64 a (.f64 a x))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (*.f64 a x)) a)
(fma.f64 (.f64 a a) (.f64 x (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) a)
(fma.f64 (.f64 a a) (.f64 x (.f64 a (.f64 x #s(literal 1/6 binary64)))) (fma.f64 (.f64 a x) (.f64 a #s(literal 1/2 binary64)) a))
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(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a #s(literal 1/4 binary64)))) (neg.f64 x))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x)))) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (*.f64 x x)))
(.f64 (/.f64 (.f64 x (fma.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a #s(literal 1/4 binary64)))) (neg.f64 x))) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 a (.f64 a #s(literal 1/4 binary64))))))) (-.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/8 binary64))) (.f64 x (.f64 x x)))) (/.f64 (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x) (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 a (.f64 a #s(literal 1/4 binary64))))))) (/.f64 (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 a (.f64 (.f64 a #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x))) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (fma.f64 a (.f64 (.f64 a #s(literal 1/4 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x)))))
(.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x) #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x)))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)) x)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))
(+.f64 (.f64 a (.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 a (.f64 x (.f64 a 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))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))) (/.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 a x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) a #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) a) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 a (.f64 x (.f64 a 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))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 x (.f64 a 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)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 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)) (fma.f64 (.f64 a (.f64 x (.f64 a 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 a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 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 x (.f64 a 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 x (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (.f64 a 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 x (.f64 a x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))) #s(literal 1/10077696 binary64) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) #s(literal 1/46656 binary64) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) #s(literal 1/1728 binary64)))) (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)) (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))) #s(literal 1/46656 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 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 x (.f64 a 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 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 x (.f64 a x))) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 a (.f64 x #s(literal 1/6 binary64))))))
(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 x (.f64 a 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 x (.f64 a 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 x (.f64 a 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 x (.f64 a x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(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 2 binary64))))) (log.f64 (exp.f64 (.f64 a (/.f64 x #s(literal 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))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) a) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (log.f64 (exp.f64 (*.f64 a (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 a (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) a))
(.f64 (sqrt.f64 x) (log.f64 (exp.f64 (.f64 a (sqrt.f64 x)))))
(.f64 (.f64 a (sqrt.f64 x)) (sqrt.f64 x))
(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))))
(.f64 (.f64 a x) (*.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 x x) a))
(.f64 #s(literal 1/2 binary64) (.f64 x (*.f64 a x)))
(.f64 (.f64 x #s(literal 1/2 binary64)) (*.f64 a x))
(.f64 (.f64 x x) (*.f64 a #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) a)
(.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) x)
(.f64 (.f64 a #s(literal 1/2 binary64)) (*.f64 x x))
(.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64))

eval279.0ms (3.1%)

Memory: -4.3MiB live, 498.5MiB allocated
Compiler: Compiled 77 458 to 3 287 computations (95.8% saved)

prune196.0ms (2.2%)

Memory

1.2MiB live, 356.1MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 925	4	1 929
Fresh	1	4	5
Picked	3	2	5
Done	0	3	3
Total	1 929	13	1 942

Accuracy

100.0%

Counts

1 942 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	29.5%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
	64.6%	#s(approx (- (exp (* a x)) 1) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
▶	68.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
	36.1%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (- (* a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
▶	44.6%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
▶	48.0%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
▶	43.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
✓	48.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 431 to 225 computations (47.8% saved)

simplify329.0ms (3.6%)

Memory

-4.5MiB live, 405.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
✓	cost-diff	128	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
✓	cost-diff	320	(/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
✓	cost-diff	2048	(fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
✓	cost-diff	0	(.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓	cost-diff	1600	(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))
✓	cost-diff	2240	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	cost-diff	0	(.f64 a #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (*.f64 x (neg.f64 x))))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
✓	cost-diff	128	(-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
✓	cost-diff	320	(.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
✓	cost-diff	0	(fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x)
✓	cost-diff	0	(fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
✓	cost-diff	0	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))

Rules

11 626×	`lower-fma.f32`
11 616×	`lower-fma.f64`
6 460×	`lower-*.f32`
6 424×	`lower-*.f64`
1 494×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	594
0	92	536
1	195	512
2	449	508
3	1663	481
4	5263	471
0	8348	452

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (2.2%)

Memory

21.2MiB live, 214.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	88.3%	(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	71.7%	(fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
✓	accuracy	62.6%	(/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))
✓	accuracy	99.3%	(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
✓	accuracy	97.7%	(.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
✓	accuracy	88.3%	(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
✓	accuracy	88.3%	(.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)))
✓	accuracy	71.7%	(.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)))
✓	accuracy	69.1%	#s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (*.f64 x (neg.f64 x)))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
✓	accuracy	99.9%	(fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x)
✓	accuracy	97.7%	(fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
✓	accuracy	69.0%	#s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64)))
✓	accuracy	63.7%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.8%	(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x))
✓	accuracy	68.6%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))

Samples

83.0ms	213×	0	valid
14.0ms	43×	0	invalid

Compiler

Compiled 457 to 50 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 39.0ms (53.1% of total)

ival-exp: 8.0ms (10.9% of total)

ival-neg: 8.0ms (10.9% of total)

ival-add: 6.0ms (8.2% of total)

ival-div: 5.0ms (6.8% of total)

ival-sqrt: 3.0ms (4.1% of total)

ival-expm1: 2.0ms (2.7% of total)

ival-sub: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.6%)

Memory

-4.5MiB live, 32.3MiB allocated

Counts

23 → 528

Calls

Call 1

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

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* a (+ (* 1/2 x) (/ 1 a)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1/2 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (* 1/2 (* a x))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* x (+ (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a x))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1/2 a) (/ 1 x))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt (exp (* a x))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt (* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (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 (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* -1 x)>
#<alt (- (* 1/2 (* a (pow x 2))) x)>
#<alt (- (* 1/2 (* a (pow x 2))) x)>
#<alt (- (* 1/2 (* a (pow x 2))) x)>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))>
#<alt (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))>
#<alt (* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))>
#<alt (* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))>
#<alt (* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 (* a x)) 1))>
#<alt (* x (- (* 1/2 (* a x)) 1))>
#<alt (* x (- (* 1/2 (* a x)) 1))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/2 a) (/ 1 x)))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* -1 (* a (pow x 2)))>
#<alt (* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))>
#<alt (* 1/4 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* 1/4 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))>
#<alt (* -1 (* a (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))>
#<alt (* 1/4 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (* 1/4 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 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 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))>
#<alt (* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))>
#<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 (* 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 (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))>
#<alt x>
#<alt (- (* 1/2 (* a (pow x 2))) (* -1 x))>
#<alt (- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1 x))>
#<alt (- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* a (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))))))))) (* -1 x))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt (* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* -1/4 (pow a 2)) (* 1/4 (pow a 2))))))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* -1/4 (pow a 2)) (+ (* 1/4 (pow a 2)) (* x (+ (* -1/8 (pow a 3)) (* 1/8 (pow a 3)))))))))))>
#<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 (* -1 x)>
#<alt (* x (- (* -1/2 (* a x)) 1))>
#<alt (* x (- (* x (- (* -1/4 (* (pow a 2) x)) (* 1/2 a))) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/8 (* (pow a 3) x)) (* 1/4 (pow a 2)))) (* 1/2 a))) 1))>
#<alt (/ 2 a)>
#<alt (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x))))>
#<alt (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2)))))>
#<alt (+ (* 2 (/ 1 a)) (+ (* 8 (/ 1 (* (pow a 3) (pow x 2)))) (+ (* 16 (/ 1 (* (pow a 4) (pow x 3)))) (/ 4 (* (pow a 2) x)))))>
#<alt (/ 2 a)>
#<alt (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x))))>
#<alt (+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2)))))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1/2 (* a (pow x 2))))>
#<alt (+ (* -1 x) (* a (- (* -1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ (* -1 x) (* a (- (* a (- (* -1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))) (* 1/2 (pow x 2)))))>
#<alt (/ 2 a)>
#<alt (/ (+ 2 (* 4 (/ 1 (* a x)))) a)>
#<alt (/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a)>
#<alt (/ (+ 2 (+ (* 8 (/ 1 (* (pow a 2) (pow x 2)))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 3)))) (/ 4 (* a x))))) a)>
#<alt (/ 2 a)>
#<alt (/ (+ 2 (* 4 (/ 1 (* a x)))) a)>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a))>
#<alt (* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2) a))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/4 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/8 (* (pow a 3) x)) (* 1/4 (pow a 2))))))))>
#<alt (/ -2 a)>
#<alt (* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a)))>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x))))>
#<alt (/ -2 a)>
#<alt (* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))>
#<alt (- (* -1 (/ (+ (* 8 (/ 1 (* (pow a 3) x))) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))>
#<alt (- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (+ (/ 8 (* (pow a 3) x)) (/ 16 (* (pow a 4) (pow x 2))))) x)) (* 2 (/ 1 a)))>
#<alt x>
#<alt (- (* 1/2 (* a (pow x 2))) (* -1 x))>
#<alt (- (* a (+ (* 1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))>
#<alt (- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))))) (* -1 x))>
#<alt (/ -2 a)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))>
#<alt (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a)>
#<alt (/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x)))) a)>
#<alt (/ -2 a)>
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))>
#<alt (* -1 (/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* a (pow x 3)))) (* 8 (/ 1 (pow x 2)))) a)) (* 4 (/ 1 x))) a))) a))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))>
#<alt (* 1/4 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* 1/4 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))>
#<alt (- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))>
#<alt (- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))>
#<alt (* 1/4 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* 1/4 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* 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)>

Calls

132 calls:

Time	Variable		Point	Expression
31.0ms	x	@	-inf	(+ (* (* a (* (* x (* x (* x x))) 1/4)) (/ a (- (* a (* 1/2 (* x x))) x))) (neg (/ (* x x) (- (* a (* 1/2 (* x x))) x))))
2.0ms	a	@	inf	(+ (* (* a (* (* x (* x (* x x))) 1/4)) (/ a (- (* a (* 1/2 (* x x))) x))) (neg (/ (* x x) (- (* a (* 1/2 (* x x))) x))))
2.0ms	x	@	inf	(+ (* (* a (* (* x (* x (* x x))) 1/4)) (/ a (- (* a (* 1/2 (* x x))) x))) (neg (/ (* x x) (- (* a (* 1/2 (* x x))) x))))
2.0ms	a	@	-inf	(+ (* (* a (* (* x (* x (* x x))) 1/4)) (/ a (- (* a (* 1/2 (* x x))) x))) (neg (/ (* x x) (- (* a (* 1/2 (* x x))) x))))
0.0ms	a	@	0	(+ (* (* a (* (* x (* x (* x x))) 1/4)) (/ a (- (* a (* 1/2 (* x x))) x))) (neg (/ (* x x) (- (* a (* 1/2 (* x x))) x))))

simplify434.0ms (4.8%)

Memory

-38.9MiB live, 551.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14 998×	`lower-fma.f64`
14 998×	`lower-fma.f32`
4 924×	`lower-*.f64`
4 924×	`lower-*.f32`
2 684×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	4910
1	1213	4871
2	3422	4832
0	8424	4397

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 520

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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* a (+ (* 1/2 x) (/ 1 a)))
(* 1/2 (* a x))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(+ 1 (* 1/2 (* a x)))
(* 1/2 (* a x))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* x (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a x))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* -1 (* x (- (* -1/2 a) (/ 1 x))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
(exp (* a x))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (+ (/ 1 (pow a 2)) (/ x a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
(* (pow a 2) (+ (* -1 (/ (- (* -1 x) (/ 1 a)) a)) (* 1/2 (pow x 2))))
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (+ (/ 1 (pow x 2)) (/ a x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 a) (/ 1 x)) x)) (* 1/2 (pow a 2))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* -1 x)
(- (* 1/2 (* a (pow x 2))) x)
(- (* 1/2 (* a (pow x 2))) x)
(- (* 1/2 (* a (pow x 2))) x)
(* 1/2 (* a (pow x 2)))
(* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))
(* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))
(* a (+ (* -1 (/ x a)) (* 1/2 (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))
(* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))
(* -1 (* a (+ (* -1/2 (pow x 2)) (/ x a))))
(* -1 x)
(* x (- (* 1/2 (* a x)) 1))
(* x (- (* 1/2 (* a x)) 1))
(* x (- (* 1/2 (* a x)) 1))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* (pow x 2) (- (* 1/2 a) (/ 1 x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* -1 (* a (pow x 2)))
(* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))
(* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))
(* a (+ (* -1 (pow x 2)) (* 1/4 (* (pow a 2) (pow x 4)))))
(* 1/4 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 3) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* 1/4 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))
(* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))
(* -1 (* (pow a 3) (+ (* -1/4 (pow x 4)) (/ (pow x 2) (pow a 2)))))
(* -1 (* a (pow x 2)))
(* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))
(* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))
(* (pow x 2) (+ (* -1 a) (* 1/4 (* (pow a 3) (pow x 2)))))
(* 1/4 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(* 1/4 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ a (pow x 2))) (* 1/4 (pow a 3))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 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 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))
(* (pow x 2) (+ (* -1 (/ (pow (sqrt -1) 2) x)) (* 1/2 a)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))
(* (pow x 2) (+ (* -1 (/ (* a (pow (sqrt -1) 2)) x)) (* 1/2 (pow a 2))))
x
(- (* 1/2 (* a (pow x 2))) (* -1 x))
(- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/4 (pow x 3)) (* 1/4 (pow x 3)))))) (* -1 x))
(- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* -1/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* a (+ (* -1/8 (pow x 4)) (* 1/8 (pow x 4))))))))) (* -1 x))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* -1/4 (pow a 2)) (* 1/4 (pow a 2))))))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* -1/4 (pow a 2)) (+ (* 1/4 (pow a 2)) (* x (+ (* -1/8 (pow a 3)) (* 1/8 (pow a 3)))))))))))
(* 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)))
(* -1 x)
(* x (- (* -1/2 (* a x)) 1))
(* x (- (* x (- (* -1/4 (* (pow a 2) x)) (* 1/2 a))) 1))
(* x (- (* x (- (* x (- (* -1/8 (* (pow a 3) x)) (* 1/4 (pow a 2)))) (* 1/2 a))) 1))
(/ 2 a)
(+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x))))
(+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2)))))
(+ (* 2 (/ 1 a)) (+ (* 8 (/ 1 (* (pow a 3) (pow x 2)))) (+ (* 16 (/ 1 (* (pow a 4) (pow x 3)))) (/ 4 (* (pow a 2) x)))))
(/ 2 a)
(+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x))))
(+ (* 2 (/ 1 a)) (+ (/ 4 (* (pow a 2) x)) (/ 8 (* (pow a 3) (pow x 2)))))
(+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))
(* -1 x)
(+ (* -1 x) (* -1/2 (* a (pow x 2))))
(+ (* -1 x) (* a (- (* -1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ (* -1 x) (* a (- (* a (- (* -1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))) (* 1/2 (pow x 2)))))
(/ 2 a)
(/ (+ 2 (* 4 (/ 1 (* a x)))) a)
(/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a)
(/ (+ 2 (+ (* 8 (/ 1 (* (pow a 2) (pow x 2)))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 3)))) (/ 4 (* a x))))) a)
(/ 2 a)
(/ (+ 2 (* 4 (/ 1 (* a x)))) a)
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2) a))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/4 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/8 (* (pow a 3) x)) (* 1/4 (pow a 2))))))))
(/ -2 a)
(* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))
(- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a)))
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x))))
(/ -2 a)
(* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))
(- (* -1 (/ (+ (* 8 (/ 1 (* (pow a 3) x))) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))
(- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (+ (/ 8 (* (pow a 3) x)) (/ 16 (* (pow a 4) (pow x 2))))) x)) (* 2 (/ 1 a)))
x
(- (* 1/2 (* a (pow x 2))) (* -1 x))
(- (* a (+ (* 1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))
(- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))))) (* -1 x))
(/ -2 a)
(* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))
(/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x)))) a)
(/ -2 a)
(* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))
(* -1 (/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* a (pow x 3)))) (* 8 (/ 1 (pow x 2)))) a)) (* 4 (/ 1 x))) a))) a))
(* 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 (pow x 2))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(* 1/4 (* (pow a 2) (pow x 4)))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* 1/4 (* (pow a 2) (pow x 4)))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(* -1 (pow x 2))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(* 1/4 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* 1/4 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* 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)

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (.f64 (.f64 x x) (*.f64 x x)))) 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 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(.f64 a (.f64 a (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (/.f64 x a))))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* 1/2 (* (pow a 2) (pow x 2)))
(.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* a (+ (* 1/2 x) (/ 1 a)))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* 1/2 (* a x))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(* -1 (* a (- (* -1/2 x) (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
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(+ (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* (pow a 4) x))) (* 8 (/ 1 (pow a 3)))) x)) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64)))) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a a)))) (.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a x)))))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1/2 (* a (pow x 2))))
(.f64 x (fma.f64 a (.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(+ (* -1 x) (* a (- (* -1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(-.f64 (.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal -1/4 binary64)) x #s(literal -1/2 binary64)))) x)
(+ (* -1 x) (* a (- (* a (- (* -1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))) (* 1/2 (pow x 2)))))
(fma.f64 a (fma.f64 a (.f64 a (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal -1/8 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal -1/4 binary64)) x #s(literal -1/2 binary64)))) (neg.f64 x))
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(/ (+ 2 (* 4 (/ 1 (* a x)))) a)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a x))) a)
(/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a (.f64 x x)))))) a)
(/ (+ 2 (+ (* 8 (/ 1 (* (pow a 2) (pow x 2)))) (+ (* 16 (/ 1 (* (pow a 3) (pow x 3)))) (/ 4 (* a x))))) a)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) (.f64 a (.f64 a (.f64 x x)))))) (/.f64 #s(literal 16 binary64) (.f64 a (.f64 a (.f64 x (.f64 a (*.f64 x x))))))) a)
(/ 2 a)
(/.f64 #s(literal 2 binary64) a)
(/ (+ 2 (* 4 (/ 1 (* a x)))) a)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a x))) a)
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 x x)))) a) #s(literal -2 binary64)) (neg.f64 a))
(* -1 (/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2) a))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 x x)))) (/.f64 #s(literal -16 binary64) (.f64 a (.f64 x (.f64 a (.f64 x x)))))) (neg.f64 a))) a)
x
(* x (+ 1 (* 1/2 (* a x))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ (* 1/4 (* (pow a 2) x)) (* 1/2 a)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 a #s(literal 1/2 binary64))) x)
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/8 (* (pow a 3) x)) (* 1/4 (pow a 2))))))))
(fma.f64 (.f64 x x) (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (.f64 (.f64 a (.f64 a a)) (.f64 #s(literal 1/8 binary64) x))) (*.f64 a #s(literal 1/2 binary64))) x)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))
(+.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 a x))))
(- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (* 8 (/ 1 (* (pow a 3) x)))) x)) (* 2 (/ 1 a)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 a a)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 a (.f64 a a))))) x) (/.f64 #s(literal -2 binary64) a))
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 3))) (* 16 (/ 1 (* (pow a 4) x)))) (pow x 2))) (+ (* 2 (/ 1 a)) (/ 4 (* (pow a 2) x))))
(+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal -16 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))))) (.f64 x x)) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 a x)))) (/.f64 #s(literal -2 binary64) a))
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -1 (+ (* 2 (/ 1 a)) (* 4 (/ 1 (* (pow a 2) x)))))
(+.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 #s(literal -4 binary64) (.f64 a (.f64 a x))))
(- (* -1 (/ (+ (* 8 (/ 1 (* (pow a 3) x))) (* 4 (/ 1 (pow a 2)))) x)) (* 2 (/ 1 a)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 a a)) (/.f64 #s(literal -8 binary64) (.f64 x (.f64 a (.f64 a a))))) x) (/.f64 #s(literal -2 binary64) a))
(- (* -1 (/ (+ (* 4 (/ 1 (pow a 2))) (+ (/ 8 (* (pow a 3) x)) (/ 16 (* (pow a 4) (pow x 2))))) x)) (* 2 (/ 1 a)))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) (.f64 a a)) (+.f64 (/.f64 #s(literal -8 binary64) (.f64 x (.f64 a (.f64 a a)))) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 x (pow.f64 a #s(literal 4 binary64))))))) x) (/.f64 #s(literal -2 binary64) a))
x
(- (* 1/2 (* a (pow x 2))) (* -1 x))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(- (* a (+ (* 1/4 (* a (pow x 3))) (* 1/2 (pow x 2)))) (* -1 x))
(fma.f64 a (.f64 (.f64 x x) (fma.f64 (*.f64 a #s(literal 1/4 binary64)) x #s(literal 1/2 binary64))) x)
(- (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/8 (* a (pow x 4))) (* 1/4 (pow x 3)))))) (* -1 x))
(fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/4 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 (.f64 x x) (.f64 x x))) (.f64 a #s(literal 1/8 binary64)))) x)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a x))) a)
(/ (- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2) a)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 x x)))) a) #s(literal -2 binary64)) a)
(/ (- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x)))) a)
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 a (.f64 x x))))) (.f64 a a)))) a)
(/ -2 a)
(/.f64 #s(literal -2 binary64) a)
(* -1 (/ (+ 2 (* 4 (/ 1 (* a x)))) a))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 a x))) a)
(* -1 (/ (+ 2 (+ (/ 4 (* a x)) (/ 8 (* (pow a 2) (pow x 2))))) a))
(/.f64 (+.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 a x))) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 a (.f64 x x))))) a)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ (* 16 (/ 1 (* a (pow x 3)))) (* 8 (/ 1 (pow x 2)))) a)) (* 4 (/ 1 x))) a))) a))
(/.f64 (+.f64 #s(literal -2 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (.f64 a x)) (/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (.f64 x x)) (/.f64 #s(literal -16 binary64) (.f64 x (.f64 a (.f64 x x))))) (.f64 a a)))) a)
(* 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)
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* (pow x 2) (- (* 1/4 (* (pow a 2) (pow x 2))) 1))
(.f64 (.f64 x x) (fma.f64 (.f64 x x) (.f64 (*.f64 a a) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(* 1/4 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* 1/4 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* (pow x 4) (- (* 1/4 (pow a 2)) (/ 1 (pow x 2))))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (fma.f64 a (.f64 a #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (.f64 x x))))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (*.f64 x x))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (*.f64 x x))
(- (* 1/4 (* (pow a 2) (pow x 4))) (pow x 2))
(-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (*.f64 x x))
(* 1/4 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* 1/4 (* (pow a 2) (pow x 4)))
(.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* (pow a 2) (+ (* -1 (/ (pow x 2) (pow a 2))) (* 1/4 (pow x 4))))
(.f64 (.f64 a a) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 1/4 binary64)) (.f64 x (/.f64 x (.f64 a a)))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* 1/2 (* a (pow x 2)))
(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 1/6 binary64)) x #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (.f64 (.f64 x x) (*.f64 x x)))) 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 (.f64 a a) (*.f64 x #s(literal 1/2 binary64)) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 a (.f64 (.f64 a a) #s(literal 1/6 binary64)) (.f64 #s(literal 1/24 binary64) (.f64 x (pow.f64 a #s(literal 4 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))

rewrite666.0ms (7.3%)

Memory

29.9MiB live, 1 021.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 986×	`lower-fma.f32`
6 976×	`lower-fma.f64`
5 662×	`lower-/.f32`
5 656×	`lower-/.f64`
5 392×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	416
0	92	310
1	315	302
2	2342	302
0	9860	294

Stop Event

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

Counts

23 → 2 231

Calls

Call 1

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

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

eval680.0ms (7.5%)

Memory: 14.6MiB live, 748.1MiB allocated
Compiler: Compiled 153 634 to 5 495 computations (96.4% saved)

prune426.0ms (4.7%)

Memory

-13.4MiB live, 610.0MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	3 041	11	3 052
Fresh	3	0	3
Picked	3	2	5
Done	1	4	5
Total	3 048	17	3 065

Accuracy

100.0%

Counts

3 065 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.8%	(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
	4.2%	(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* x (* x (* a 1/2))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
✓	20.6%	(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	100.0%	(expm1.f64 (*.f64 a x))
	44.7%	#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 a #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))
✓	68.5%	#s(approx (- (exp (* a x)) 1) (.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
	28.3%	#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
	51.5%	#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) a))
	46.5%	#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (*.f64 x x)))))
	28.2%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
	44.6%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) x)))))
	44.8%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
	3.5%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
	43.4%	#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (neg.f64 x)))))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
	49.1%	#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (.f64 (neg.f64 x) (/.f64 x (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))))
✓	69.6%	#s(approx (- (exp (* a x)) 1) (*.f64 a x))

Compiler

Compiled 888 to 303 computations (65.9% saved)

regimes83.0ms (0.9%)

Memory

-0.9MiB live, 75.9MiB allocated

Counts

30 → 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))
#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* x (* x (* a 1/2))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (neg.f64 x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (*.f64 x x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 a #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (-.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (- (* a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (.f64 (neg.f64 x) (/.f64 x (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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

Calls

5 calls:

39.0ms	(*.f64 a x)
19.0ms	x
9.0ms	a
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms	(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)

regimes54.0ms (0.6%)

Memory

7.2MiB live, 83.8MiB allocated

Counts

28 → 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))
#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* x (* x (* a 1/2))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (neg.f64 x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (*.f64 x x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) a))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 a #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (-.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) a) (-.f64 x (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) #s(approx (- (* a (* 1/2 (* x x))) x) (.f64 x (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)))))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (neg.f64 (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 x) (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))))))
#s(approx (- (exp (* a x)) 1) (/.f64 (.f64 (.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))) (.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x)))) (.f64 x (fma.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x)) x)))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x))) x))))))
#s(approx (- (exp (* a x)) 1) (.f64 a (fma.f64 (.f64 a (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/4 binary64))) (/.f64 a (-.f64 (.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x))) x)) (.f64 (neg.f64 x) (/.f64 x (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x)))))))

Outputs

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

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

Calls

5 calls:

20.0ms	(exp.f64 (*.f64 a x))
8.0ms	a
8.0ms	x
8.0ms	(*.f64 a x)
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
69.6%	1	`a`
69.6%	1	`x`
69.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.6%	1	`(exp.f64 (*.f64 a x))`
71.2%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes19.0ms (0.2%)

Memory

-8.6MiB live, 32.3MiB allocated

Counts

12 → 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))
#s(approx (- (exp (* a x)) 1) (.f64 a (.f64 (fma.f64 a (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 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 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x)))
(-.f64 #s(approx (exp (* a x)) #s(approx (+ (* a (+ (* x (* x (* a 1/2))) x)) 1) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (.f64 x x)))))) #s(literal 1 binary64))
(-.f64 #s(approx (exp (* a x)) (fma.f64 a (fma.f64 x (.f64 x (.f64 a #s(literal 1/2 binary64))) x) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (- (exp (* a x)) 1) (fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 (.f64 a x) a) (.f64 a x)))
#s(approx (- (exp (* a x)) 1) (.f64 (.f64 a #s(approx (+ (* (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- ( a (* 1/2 (* x x))) x) (neg.f64 x)))))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x))))
#s(approx (- (exp (* a x)) 1) (.f64 (/.f64 a (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (*.f64 x x)))))

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

Calls

4 calls:

7.0ms	(exp.f64 (*.f64 a x))
4.0ms	x
4.0ms	(*.f64 a x)
3.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes18.0ms (0.2%)

Memory

4.3MiB live, 41.9MiB allocated

Counts

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

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

Calls

5 calls:

5.0ms	x
3.0ms	a
3.0ms	(*.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
69.6%	1	`a`
69.6%	1	`x`
69.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
69.6%	1	`(exp.f64 (*.f64 a x))`
69.6%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes7.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
20.6%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
20.6%	1	`(exp.f64 (*.f64 a x))`
20.6%	1	`a`
20.6%	1	`(*.f64 a x)`
20.6%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.234811146377351e+36	-2.3394556812863514e+34

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify10.0ms (0.1%)

Memory

-14.9MiB live, 21.9MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary64`
16×	`neg-mul-1_binary64`
12×	`unsub-neg_binary64`
10×	`+-commutative_binary64`
8×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	114
1	58	114
2	65	114
3	72	114
4	83	114
5	98	114

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) a)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))

Outputs
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (neg.f64 (.f64 x x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))) a)) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
(if (<=.f64 (.f64 a x) #s(literal -1000000000000000042420637374017961984 binary64)) #s(approx (- (exp ( a x)) 1) (.f64 a (/.f64 #s(approx (+ ( (* x (* x (* x x))) (* (* a a) 1/4)) (neg (* x x))) (.f64 x (neg.f64 x))) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) (neg.f64 x))))) #s(approx (- (exp ( a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a))))
#s(approx (- (exp (* a x)) 1) (.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 (.f64 a x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) a)))
#s(approx (- (exp (* a x)) 1) (*.f64 a x))
(-.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (exp (* a x)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness1.5s (16.3%)

Memory

17.3MiB live, 767.1MiB allocated

Rules

17 118×	`lower-fma.f64`
17 118×	`lower-fma.f32`
15 056×	`lower-fma.f64`
15 056×	`lower-fma.f32`
8 560×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	416
0	92	310
1	315	302
2	2342	302
0	9860	294
0	86	1572
1	275	1572
2	729	1552
3	1636	1552
4	3185	1552
5	7038	1552
0	8372	1328
0	228	4534
1	748	4524
2	2402	4424
3	7834	4424
0	8022	3977
0	17	67
0	25	67
1	83	67
2	492	67
3	4598	67
0	8291	67
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 142 to 72 computations (49.3% saved)

preprocess90.0ms (1%)

Memory: -15.8MiB live, 155.2MiB allocated
Remove: (sort a x)
Compiler: Compiled 180 to 82 computations (54.4% 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	17	81
0	25	81
1	47	81
2	74	81
3	125	81
4	171	81
5	186	81
6	192	81
7	252	81
8	255	81
0	255	81

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	17	81
0	25	81
1	47	81
2	74	81
3	125	81
4	171	81
5	186	81
6	192	81
7	252	81
8	255	81
0	255	81

analyze18.0ms (0.2%)

sample586.0ms (6.4%)

preprocess17.0ms (0.2%)

explain96.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize29.0ms (0.3%)

series4.0ms (0%)

simplify314.0ms (3.5%)

rewrite85.0ms (0.9%)

eval20.0ms (0.2%)

prune17.0ms (0.2%)

simplify17.0ms (0.2%)

localize44.0ms (0.5%)

series7.0ms (0.1%)

simplify358.0ms (3.9%)

rewrite346.0ms (3.8%)

eval71.0ms (0.8%)

prune86.0ms (0.9%)

simplify645.0ms (7.1%)

localize136.0ms (1.5%)

series33.0ms (0.4%)

simplify497.0ms (5.5%)

rewrite641.0ms (7.1%)

eval279.0ms (3.1%)

prune196.0ms (2.2%)

simplify329.0ms (3.6%)

localize200.0ms (2.2%)

series51.0ms (0.6%)

simplify434.0ms (4.8%)

rewrite666.0ms (7.3%)

eval680.0ms (7.5%)

prune426.0ms (4.7%)

regimes83.0ms (0.9%)

regimes54.0ms (0.6%)

regimes19.0ms (0.2%)

regimes18.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.5s (16.3%)

preprocess90.0ms (1%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	17	81
0	25	81
1	47	81
2	74	81
3	125	81
4	171	81
5	186	81
6	192	81
7	252	81
8	255	81
0	255	81