Metrics for expax (section 3.5)

analyze18.0ms (0.2%)

Memory

-6.1MiB live, 33.0MiB 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)

sample557.0ms (5.7%)

Memory

33.9MiB live, 850.3MiB allocated

Samples

331.0ms	8 256×	0	valid
15.0ms	299×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 69.0ms (42% of total)

ival-expm1: 63.0ms (38.3% of total)

ival->: 22.0ms (13.4% of total)

exact: 7.0ms (4.3% of total)

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

Bogosity

preprocess20.0ms (0.2%)

Memory

-2.8MiB live, 34.1MiB 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)

explain90.0ms (0.9%)

Memory

-15.9MiB live, 108.1MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	136	0
-	0	120

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	120
1	136

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

25.0ms

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 (33.4% of total)

ival-mult: 4.0ms (33.4% of total)

ival-expm1: 3.0ms (25.1% 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(-.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)

localize18.0ms (0.2%)

Memory

16.7MiB live, 16.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	50.7%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-exp: 2.0ms (35% of total)

ival-mult: 2.0ms (35% of total)

ival-expm1: 2.0ms (35% 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

4.0MiB live, 4.0MiB allocated

Counts

3 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite147.0ms (1.5%)

Memory

-5.1MiB live, 72.2MiB 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)))))
(fma.f64 (exp.f64 (.f64 a x)) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 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))))))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 (.f64 a (+.f64 x x))) (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 binary64))) (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3/2 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))))))))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.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)))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (expm1.f64 (.f64 a (+.f64 x x)))) (expm1.f64 (.f64 a x)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.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)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.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))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (exp.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))))) (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))))))))
(fma.f64 (/.f64 (exp.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))) (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))))))))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(neg.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(neg.f64 (/.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (expm1.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 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a (+.f64 x x))) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x)))))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))))
(/.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(/.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (-.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 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) #s(literal 1 binary64))) (.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (-.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (exp.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (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 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 (.f64 a (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (.f64 a x))))))
(/.f64 (-.f64 (pow.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)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) #s(literal 3 binary64))) (fma.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 (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)))))) (fma.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 #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 #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 (pow.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.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 (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 (/.f64 #s(literal 1 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 #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 (.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (/.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 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (*.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
(/.f64 (.f64 (expm1.f64 (fma.f64 a (+.f64 x x) (.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) (exp.f64 (.f64 a (+.f64 x x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (expm1.f64 (.f64 a x)))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x)))))))
(.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(.f64 (expm1.f64 (.f64 a (+.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))))
(.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (.f64 (expm1.f64 (.f64 a x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))))
(.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))))
(.f64 (neg.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a (+.f64 x x))))))))
(.f64 (neg.f64 (expm1.f64 (.f64 a (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 a x))))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x)))))) (expm1.f64 (.f64 a (*.f64 x #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (*.f64 a (+.f64 x x))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (expm1.f64 (.f64 a x)))
(.f64 (+.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (expm1.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (expm1.f64 (.f64 a (+.f64 x x)))) (expm1.f64 (.f64 a x)))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (exp.f64 (.f64 a (+.f64 x x)))) (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))))))
(.f64 (/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))) (pow.f64 (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (.f64 a (+.f64 x x))) (exp.f64 (*.f64 a x))))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 3 binary64)))))) (fma.f64 (exp.f64 (.f64 a x)) (expm1.f64 (.f64 a x)) #s(literal 1 binary64)))
(.f64 (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 a) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))
(.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))))
(.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) (.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 a #s(literal 2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (*.f64 a x)))
(+.f64 (*.f64 a x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 a x))
(+.f64 (log.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))) (log.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(fma.f64 a x #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x a #s(literal 0 binary64))
(*.f64 a x)
(*.f64 a (log.f64 (exp.f64 x)))
(*.f64 x a)

simplify368.0ms (3.8%)

Memory

-0.2MiB live, 159.5MiB 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)

eval64.0ms (0.7%)

Memory: -11.7MiB live, 26.4MiB allocated
Compiler: Compiled 3 186 to 324 computations (89.8% saved)

prune21.0ms (0.2%)

Memory

-2.3MiB live, 36.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	174	9	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	9	184

Accuracy

100.0%

Counts

184 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	99.3%	(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))
▶	18.1%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	17.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	61.1%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
	60.2%	(.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))
	60.2%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
	67.2%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 224 to 140 computations (37.5% saved)

simplify225.0ms (2.3%)

Memory

18.3MiB live, 411.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 a (+.f64 x x))
✓	cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	cost-diff	0	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 a (.f64 x x))
✓	cost-diff	0	(fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)
✓	cost-diff	0	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
✓	cost-diff	0	(fma.f64 a x #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))

Rules

8 768×	`lower-fma.f32`
8 762×	`lower-fma.f64`
3 364×	`lower-+.f32`
3 360×	`lower-+.f64`
2 890×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	116
0	43	113
1	86	113
2	204	113
3	758	113
4	3788	113
5	7089	113
0	8051	113

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (0.9%)

Memory

-7.3MiB live, 105.4MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(exp.f64 (*.f64 a x))
✓	accuracy	100.0%	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	accuracy	99.9%	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	98.9%	(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
✓	accuracy	96.3%	(.f64 a (.f64 x x))
✓	accuracy	100.0%	(fma.f64 a x #s(literal 1 binary64))
✓	accuracy	99.8%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))

Samples

40.0ms	167×	1	exit
16.0ms	89×	0	valid

Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions

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

ival-mult: 12.0ms (30.3% of total)

adjust: 8.0ms (20.2% of total)

ival-add: 6.0ms (15.2% of total)

const: 4.0ms (10.1% of total)

ival-expm1: 3.0ms (7.6% of total)

ival-div: 2.0ms (5.1% of total)

ival-exp: 2.0ms (5.1% of total)

ival-sub: 2.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory

33.8MiB live, 33.8MiB allocated

Counts

16 → 324

Calls

Call 1

Inputs
#<alt (expm1.f64 (*.f64 a x))>
#<alt (*.f64 a x)>
#<alt (-.f64 #s(literal 1 binary64) #s(literal 1 binary64))>
#<alt (-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 a x #s(literal 1 binary64))>
#<alt (.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))>
#<alt (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x)>
#<alt (.f64 a (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))>
#<alt (expm1.f64 (*.f64 a (+.f64 x x)))>
#<alt (*.f64 a (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (exp.f64 (*.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 (* 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)>
#<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>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))>
#<alt (* 1/6 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (+ 1/2 (* 1/6 (* a x)))>
#<alt (* 1/6 (* a x))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))>
#<alt (* 1/6 (* a x))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<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

81 calls:

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

rewrite331.0ms (3.4%)

Memory

-12.5MiB live, 417.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 638×	`lower-fma.f32`
6 632×	`lower-fma.f64`
3 664×	`lower-*.f32`
3 652×	`lower-*.f64`
3 294×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	43	80
1	171	80
2	1352	80
0	9116	80

Stop Event

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

Counts

16 → 1 073

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (expm1.f64 (+.f64 x x))))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))) (neg.f64 (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 a (+.f64 x x)))
(expm1.f64 (.f64 (.f64 a x) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) (+.f64 x x)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) a))
(expm1.f64 (.f64 a (.f64 (+.f64 x x) #s(literal 3 binary64))))
(expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3/2 binary64)))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 x x))))
(expm1.f64 (.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a x) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(expm1.f64 (.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) #s(literal 3 binary64)))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x)))))
(expm1.f64 (fma.f64 (.f64 a x) #s(literal 3 binary64) (.f64 (*.f64 a x) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64) (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))
(expm1.f64 (fma.f64 a (+.f64 x x) (fma.f64 a (+.f64 x x) (*.f64 a (+.f64 x x)))))
(expm1.f64 (+.f64 (fma.f64 a (+.f64 x x) (.f64 a (+.f64 x x))) (.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a x (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a (+.f64 x x) (*.f64 a x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (*.f64 a x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x)))))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (exp.f64 (+.f64 x x))) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 a x))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (pow.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64)) (.f64 (.f64 a x) #s(literal 1/12 binary64))))))
(.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 a x) #s(literal 1/12 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 x #s(literal 1/6 binary64))))))
(exp.f64 (*.f64 a x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(/.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))) (exp.f64 #s(literal 1 binary64)))
(/.f64 (exp.f64 (/.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64))))))
(/.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) (fma.f64 a x #s(literal 2 binary64)))) (exp.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 a) x)
(pow.f64 (exp.f64 a) (*.f64 x #s(literal 1 binary64)))
(pow.f64 (exp.f64 a) (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 (+.f64 a a)) (*.f64 x #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 x) a)
(pow.f64 (exp.f64 x) (*.f64 a #s(literal 1 binary64)))
(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 a x))
(pow.f64 (exp.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (*.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (exp.f64 (.f64 a x)))
(.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))
(.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 #s(literal 1 binary64)) (exp.f64 (fma.f64 a x #s(literal -1 binary64))))
(*.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)))
(*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 a x #s(literal 1 binary64))))

simplify663.0ms (6.8%)

Memory

-29.3MiB live, 453.9MiB allocated

Algorithm

1×	egg-herbie

Rules

17 806×	`lower-fma.f64`
17 806×	`lower-fma.f32`
4 956×	`lower-*.f64`
4 956×	`lower-*.f32`
4 892×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	293	2698
1	960	2592
2	3099	2506
3	7474	2504
0	8151	2260

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 322

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)
(* 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
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 3) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow a 3) (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3)))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (* 1/2 (/ (pow a 2) x))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 3)) (+ (* 1/2 (/ (pow a 2) x)) (/ a (pow x 2)))))
(* 1/6 (* (pow a 3) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3)))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (+ (* 1/2 (/ (pow x 2) a)) (/ x (pow a 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (* 1/2 (/ a x))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (pow a 2)) (+ (* 1/2 (/ a x)) (/ 1 (pow x 2)))))
(* 1/6 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(* 1/6 (* a x))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
1/2
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(+ 1/2 (* 1/6 (* a x)))
(* 1/6 (* a x))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(* 1/6 (* a x))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
1
(+ 1 (* a x))
(+ 1 (* a (+ 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 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 (.f64 #s(literal 1/24 binary64) (.f64 (.f64 x (.f64 x x)) x)) a) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
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(.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64))) (.f64 #s(literal 1/2 binary64) (*.f64 a a))) a))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/12 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a a) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 a a)) #s(literal 1/4 binary64)) (.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64))) (.f64 a #s(literal -1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64)))) (.f64 #s(literal 1/2 binary64) (*.f64 a a))) a))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 x (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a x) a)))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 a (.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) #s(literal 2/3 binary64))) (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 x (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a x) a)))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 x (.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64))) (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a x) a))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 a (.f64 a a)) #s(literal 4/3 binary64) (.f64 x (.f64 (.f64 (.f64 a (.f64 a a)) a) #s(literal 2/3 binary64))))) (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a x) a))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64))))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 a (.f64 x #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* a (+ (* 1/6 x) (* 1/2 (/ 1 a))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* a (- (* -1/6 x) (* 1/2 (/ 1 a)))))
(fma.f64 (neg.f64 a) (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* x (+ (* 1/6 a) (* 1/2 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(* 1/6 (* a x))
(.f64 a (.f64 x #s(literal 1/6 binary64)))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
(* -1 (* x (- (* -1/6 a) (* 1/2 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
(exp (* a x))
(exp.f64 (*.f64 a x))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (.f64 a a)) a) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2)))))))
(fma.f64 a (fma.f64 a (.f64 (.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))

eval179.0ms (1.8%)

Memory: 30.1MiB live, 249.8MiB allocated
Compiler: Compiled 37 758 to 2 782 computations (92.6% saved)

prune163.0ms (1.7%)

Memory

-15.1MiB live, 234.6MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 487	17	1 504
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 492	21	1 513

Accuracy

100.0%

Counts

1 513 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.1%	(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
	61.1%	(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
	31.9%	(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
	17.5%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
	66.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
✓	18.1%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
	16.0%	(-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
▶	18.9%	(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	18.7%	(-.f64 (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
	17.5%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
	31.5%	(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
▶	16.4%	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
	67.2%	(*.f64 x a)
	67.1%	(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
	60.2%	(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
▶	60.2%	(.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))
	17.1%	(.f64 a (.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	17.0%	#s(literal 0 binary64)

Compiler

Compiled 699 to 363 computations (48.1% saved)

simplify303.0ms (3.1%)

Memory

12.0MiB live, 319.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
✓	cost-diff	0	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
✓	cost-diff	0	(.f64 a (.f64 x x))
✓	cost-diff	0	(fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))
✓	cost-diff	256	(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	cost-diff	1728	(/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
✓	cost-diff	0	(*.f64 a (+.f64 x x))
✓	cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	cost-diff	6784	(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	cost-diff	7808	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))

Rules

12 598×	`lower-fma.f32`
12 588×	`lower-fma.f64`
6 554×	`lower-*.f32`
6 526×	`lower-*.f64`
2 924×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	251
0	68	253
1	138	253
2	335	246
3	972	240
4	1891	216
5	4479	205
6	5259	201
7	6086	201
0	8112	198

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
a
(+.f64 x x)
x
(+.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a)))
#s(literal 1/6 binary64)
(.f64 a (.f64 a a))
a
(*.f64 a a)
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))
a
(.f64 a (.f64 x x))
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 a x #s(literal -1 binary64))
#s(literal 1 binary64)
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
a
(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
x
(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

Outputs
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 a (+.f64 x x)))
(*.f64 a (+.f64 x x))
a
(+.f64 x x)
x
(+.f64 (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)))
(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(exp.f64 (*.f64 a x))
(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
(.f64 a (.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a)))
(.f64 a (.f64 a (*.f64 a #s(literal 1/6 binary64))))
#s(literal 1/6 binary64)
(.f64 a (.f64 a a))
a
(*.f64 a a)
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 a x)
(/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(fma.f64 a x #s(literal 1 binary64))
(fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))
a
(.f64 a (.f64 x x))
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 a x #s(literal -1 binary64))
#s(literal 1 binary64)
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x))
a
(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
(fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) x)
(.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(.f64 x (.f64 x (fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))))
x
(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 x (fma.f64 a (.f64 x (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(fma.f64 a (.f64 x (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(*.f64 a x)
(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
#s(literal 1/24 binary64)
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)

localize174.0ms (1.8%)

Memory

-10.2MiB live, 181.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))
✓	accuracy	99.2%	(.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.2%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
✓	accuracy	90.9%	(fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)
✓	accuracy	97.4%	(fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))
✓	accuracy	87.8%	(.f64 a (.f64 x x))
✓	accuracy	83.5%	(/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
✓	accuracy	50.7%	(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a)))
✓	accuracy	72.0%	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
✓	accuracy	100.0%	(exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.9%	(expm1.f64 (*.f64 a (+.f64 x x)))

Samples

53.0ms	77×	2	valid
49.0ms	90×	1	valid
28.0ms	89×	0	valid

Compiler

Compiled 276 to 42 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 40.0ms (40.4% of total)

adjust: 15.0ms (15.2% of total)

ival-add: 14.0ms (14.2% of total)

const: 11.0ms (11.1% of total)

ival-div: 6.0ms (6.1% of total)

ival-pow2: 4.0ms (4% of total)

ival-exp: 3.0ms (3% of total)

ival-sub: 3.0ms (3% of total)

ival-expm1: 3.0ms (3% of total)

exact: 1.0ms (1% of total)

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

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

series72.0ms (0.7%)

Memory

12.4MiB live, 94.4MiB allocated

Counts

19 → 408

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))>
#<alt (pow.f64 (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (expm1.f64 (*.f64 a (+.f64 x x)))>
#<alt (*.f64 a (+.f64 x x))>
#<alt (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))>
#<alt (.f64 x (.f64 x x))>
#<alt (*.f64 x x)>
#<alt (.f64 #s(literal 1/6 binary64) (.f64 a (*.f64 a a)))>
#<alt (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))>
#<alt (-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))>
#<alt (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64))>
#<alt (.f64 a (.f64 x x))>
#<alt (.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))>
#<alt (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x)>
#<alt (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))))>
#<alt (.f64 a (.f64 a a))>
#<alt (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))>

Outputs
#<alt (* a x)>
#<alt (* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (* a x)>
#<alt (* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (+ (* 1/2 (* a (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt (/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))>
#<alt (+ 1 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))>
#<alt (+ 1 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))))>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (pow (exp (* 1/2 (* a x))) 2)>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* 2 (* a (pow x 2)))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))>
#<alt (* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* 2 (* (pow a 2) x))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))>
#<alt (* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (- (exp (* 2 (* a x))) 1)>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 2 (* a x))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (* 1/6 (* (pow a 3) (pow x 3)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt (* 1/6 (pow a 3))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a (+ x (/ 1 a)))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt (* -1 (* a (- (* -1 x) (/ 1 a))))>
#<alt 1>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (+ 1 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* x (+ a (/ 1 x)))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 a) (/ 1 x))))>
#<alt (* a x)>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))>
#<alt -1>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (- (* (pow a 2) (pow x 2)) 1)>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<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 (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))>
#<alt (* 1/24 (* (pow a 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))>
#<alt x>
#<alt (+ x (* 1/2 (* a (pow x 2))))>
#<alt (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))>
#<alt (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/2 (* a x))))>
#<alt (* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))>
#<alt (* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))>
#<alt (* 1/24 (* (pow a 3) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* 1/6 (* a x))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 4)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* 1/6 (* a x))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/6 (* a (pow x 2))) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))>
#<alt (* 1/24 (* (pow a 2) (pow x 3)))>
#<alt (* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt (* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* a x)))>
#<alt (+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))>
#<alt (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (exp (* 1/2 (* a x)))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (* 1/24 (* a x))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))>
#<alt (* 1/24 (* a x))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (+ 1/6 (* 1/24 (* a x)))>
#<alt (* 1/24 (* a x))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))>
#<alt (* 1/24 (* a x))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))>

Calls

102 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(- (/ (+ (* a (* a (* x x))) -1) (+ (* a x) -1)) 1)
4.0ms	x	@	-inf	(/ (+ (* a (* a (* x x))) -1) (+ (* a x) -1))
3.0ms	a	@	0	(/ (- (exp (* a (+ x x))) 1) (+ (pow (exp (* a (* x 1/2))) 2) 1))
2.0ms	a	@	inf	(- (/ (+ (* a (* a (* x x))) -1) (+ (* a x) -1)) 1)
2.0ms	a	@	-inf	(- (/ (+ (* a (* a (* x x))) -1) (+ (* a x) -1)) 1)

rewrite387.0ms (3.9%)

Memory

-13.3MiB live, 494.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 610×	`lower-fma.f32`
5 600×	`lower-fma.f64`
5 110×	`lower-*.f32`
5 082×	`lower-*.f64`
3 854×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	188
0	67	178
1	259	155
2	1881	147
0	8859	141

Stop Event

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

Counts

19 → 620

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (*.f64 a x) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal -1 binary64))
(+.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)))) (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a x) #s(literal 1/144 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a x) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64)))))
(/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a x) #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64)) (.f64 (*.f64 a x) #s(literal 1/144 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64)) (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a x) #s(literal 1/144 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64)))) (neg.f64 (-.f64 #s(literal 1/6 binary64) (.f64 (.f64 a x) #s(literal 1/24 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (.f64 a x) #s(literal 1/144 binary64)))) (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 a (.f64 a a)) (.f64 (.f64 x (.f64 x x)) #s(literal 1/13824 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) (-.f64 #s(literal 1/36 binary64) (.f64 (*.f64 a x) #s(literal 1/144 binary64))))))
(.f64 (fma.f64 (.f64 a (.f64 a (.f64 x x))) #s(literal 1/576 binary64) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))

simplify697.0ms (7.1%)

Memory

41.7MiB live, 724.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 626×	`lower-fma.f64`
22 626×	`lower-fma.f32`
5 964×	`lower-*.f64`
5 964×	`lower-*.f32`
5 556×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	482	4175
1	1631	4044
2	5008	3904
0	8643	3611

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 406

Calls

Call 1

Inputs
(* a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(* a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (+ (* 1/2 (* a (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
1
(+ 1 (* a x))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(+ 1 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
1
(+ 1 (* a x))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(+ 1 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))))
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(pow (exp (* 1/2 (* a x))) 2)
(* 2 (* a x))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(- (exp (* 2 (* a x))) 1)
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 2 (* a x))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(* 1/6 (* (pow a 3) (pow x 3)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
(* 1/6 (pow a 3))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a (+ x (/ 1 a)))
(* a x)
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
(* -1 (* a (- (* -1 x) (/ 1 a))))
1
(+ 1 (* a x))
(+ 1 (* a x))
(+ 1 (* a x))
(* a x)
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* x (+ a (/ 1 x)))
(* a x)
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* -1 (* x (- (* -1 a) (/ 1 x))))
(* a x)
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
(* (pow a 2) (- (pow x 2) (/ 1 (pow a 2))))
-1
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(- (* (pow a 2) (pow x 2)) 1)
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* (pow x 2) (- (pow a 2) (/ 1 (pow x 2))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow a 4) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow x 2)) (/ x a)) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (* 1/2 (/ (pow a 2) (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (+ (* 1/6 (/ (pow a 3) x)) (+ (* 1/2 (/ (pow a 2) (pow x 2))) (/ a (pow x 3))))))
(* 1/24 (* (pow a 4) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 4)) (* 1/6 (/ (pow a 3) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ (pow a 2) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (pow a 2)) (/ a x)) x)) (* -1/6 (pow a 3))) x)) (* 1/24 (pow a 4))))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))))
(+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 3) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (+ (* 1/2 (/ (pow x 2) (pow a 2))) (/ x (pow a 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* -1 (* (pow a 3) (+ (* -1/6 (/ (pow x 3) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* 1/6 (pow x 3)) (* 1/2 (/ (pow x 2) a))) a)) (* -1/24 (pow x 4)))))
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x a)) (* -1/2 (pow x 2))) a)) (* 1/6 (pow x 3))) a)) (* -1/24 (pow x 4)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* x (+ (* 1/6 (* (pow a 2) x)) (* 1/2 a)))))
(* x (+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/24 (* (pow a 3) x)) (* 1/6 (pow a 2))))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (* 1/2 (/ a (pow x 2))))))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (+ (* 1/6 (/ (pow a 2) x)) (+ (* 1/2 (/ a (pow x 2))) (/ 1 (pow x 3))))))
(* 1/24 (* (pow a 3) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 3)) (* 1/6 (/ (pow a 2) x))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1/2 (/ a x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* (pow x 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 a) (/ 1 x)) x)) (* -1/6 (pow a 2))) x)) (* 1/24 (pow a 3))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* (pow x 2) (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow x 4) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* (pow x 4) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(* 1/2 (pow x 2))
(+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2)))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3)))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (+ (* 1/6 (/ (pow x 3) a)) (* 1/2 (/ (pow x 2) (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 4)))
(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow x 2) a)) (* -1/6 (pow x 3))) a)) (* 1/24 (pow x 4))))
(* 1/2 x)
(* x (+ 1/2 (* 1/6 (* a x))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/6 (/ a x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/6 a) (* 1/2 (/ 1 x))) x)) (* -1/24 (pow a 2)))))
(* 1/2 x)
(+ (* 1/6 (* a (pow x 2))) (* 1/2 x))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(+ (* 1/2 x) (* a (+ (* 1/24 (* a (pow x 3))) (* 1/6 (pow x 2)))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (+ (* 1/6 (/ (pow x 2) a)) (* 1/2 (/ x (pow a 2))))))
(* 1/24 (* (pow a 2) (pow x 3)))
(* (pow a 2) (+ (* 1/24 (pow x 3)) (* 1/6 (/ (pow x 2) a))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
(* (pow a 2) (+ (* -1 (/ (+ (* -1/2 (/ x a)) (* -1/6 (pow x 2))) a)) (* 1/24 (pow x 3))))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* a (+ (* 1/8 (* a (pow x 2))) (* 1/2 x))))
(+ 1 (* a (+ (* 1/2 x) (* a (+ (* 1/48 (* a (pow x 3))) (* 1/8 (pow x 2)))))))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
1
(+ 1 (* 1/2 (* a x)))
(+ 1 (* x (+ (* 1/8 (* (pow a 2) x)) (* 1/2 a))))
(+ 1 (* x (+ (* 1/2 a) (* x (+ (* 1/48 (* (pow a 3) x)) (* 1/8 (pow a 2)))))))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(exp (* 1/2 (* a x)))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(* 1/24 (* a x))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* a (+ (* 1/24 x) (* 1/6 (/ 1 a))))
(* 1/24 (* a x))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
(* -1 (* a (- (* -1/24 x) (* 1/6 (/ 1 a)))))
1/6
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(+ 1/6 (* 1/24 (* a x)))
(* 1/24 (* a x))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(* 1/24 (* a x))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (+ (* 1/2 (* x (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x #s(literal -1/2 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64)))) (.f64 (.f64 x (.f64 x x)) #s(literal 1/6 binary64)))) (fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) (.f64 (.f64 x x) #s(literal -1/4 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 x (.f64 x x)) x)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 x (.f64 x #s(literal -1/2 binary64))))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(* a x)
(*.f64 a x)
(* x (+ a (* x (- (pow a 2) (* 1/2 (pow a 2))))))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(* x (+ a (* x (- (+ (* x (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))))) (.f64 a (*.f64 a #s(literal 1/2 binary64)))) a))
(* x (+ a (* x (- (+ (* x (- (+ (* 2/3 (pow a 3)) (* x (- (* 1/3 (pow a 4)) (+ (* 1/4 (* (pow a 2) (- (pow a 2) (* 1/2 (pow a 2))))) (+ (* 1/2 (* a (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3))))) (* 1/2 (* a (- (* 2/3 (pow a 3)) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))))))))) (+ (* 1/4 (pow a 3)) (* 1/2 (* a (- (pow a 2) (* 1/2 (pow a 2)))))))) (pow a 2)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64)))) (fma.f64 (.f64 a #s(literal -1/2 binary64)) (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (fma.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64))) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))))) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 a a) (.f64 a a))))) (fma.f64 (.f64 a (.f64 a a)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 a (.f64 (.f64 a a) #s(literal -1/2 binary64)))))) (.f64 a (.f64 a #s(literal 1/2 binary64)))) a))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (pow (exp (* 1/2 (* a x))) 2)))
(/.f64 (expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* a (+ x (* 1/2 (* a (pow x 2))))))
(fma.f64 a (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* a x))
(fma.f64 a x #s(literal 1 binary64))
(+ 1 (* x (+ a (* 1/2 (* (pow a 2) x)))))
(fma.f64 a (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(+ 1 (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (pow a 3)) (* 1/8 (pow a 3)))))))))
(fma.f64 x (fma.f64 x (fma.f64 a (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 a (.f64 a (*.f64 a x))) #s(literal 1/6 binary64))) a) #s(literal 1 binary64))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(pow (exp (* 1/2 (* a x))) 2)
(exp.f64 (.f64 (.f64 a x) #s(literal 1 binary64)))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* a (+ (* 2 x) (* 2 (* a (pow x 2)))))
(.f64 a (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 x x) x)))
(* a (+ (* 2 x) (* a (+ (* 4/3 (* a (pow x 3))) (* 2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))))
(* a (+ (* 2 x) (* a (+ (* 2 (pow x 2)) (* a (+ (* 2/3 (* a (pow x 4))) (* 4/3 (pow x 3))))))))
(.f64 a (fma.f64 a (fma.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal 4/3 binary64)) x #s(literal 2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 a (.f64 a (.f64 (.f64 x (.f64 x x)) x))))) (.f64 x #s(literal 2 binary64))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* x (+ (* 2 a) (* 2 (* (pow a 2) x))))
(.f64 a (.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 x x) x)))
(* x (+ (* 2 a) (* x (+ (* 4/3 (* (pow a 3) x)) (* 2 (pow a 2))))))
(.f64 x (fma.f64 a #s(literal 2 binary64) (.f64 x (fma.f64 a (.f64 a #s(literal 2 binary64)) (.f64 #s(literal 4/3 binary64) (.f64 a (.f64 a (*.f64 a x))))))))
(* x (+ (* 2 a) (* x (+ (* 2 (pow a 2)) (* x (+ (* 2/3 (* (pow a 4) x)) (* 4/3 (pow a 3))))))))
(.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 a (.f64 a x) a) (.f64 (.f64 x x) (fma.f64 a (.f64 (.f64 a a) #s(literal 4/3 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 x (.f64 (.f64 a a) (*.f64 a a))))))))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(- (exp (* 2 (* a x))) 1)
(expm1.f64 (.f64 (.f64 a x) #s(literal 2 binary64)))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 2 (* a x))
(.f64 (.f64 a x) #s(literal 2 binary64))
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/6 binary64))) x)
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/6 binary64))) x)
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/6 binary64))) x)
(* 1/6 (* (pow a 3) (pow x 3)))
(.f64 (.f64 x (.f64 (.f64 a (.f64 a (.f64 a x))) #s(literal 1/6 binary64))) x)
(* 1/6 (* (pow a 3) (pow x 3)))
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(* (pow x 2) (+ 1/2 (* 1/6 (* a x))))
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(* (pow a 2) (+ (* 1/24 (pow x 4)) (* 1/6 (/ (pow x 3) a))))
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(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* 1/6 (* a x))))
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(* x (+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a)))))
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(* 1/24 (* (pow a 2) (pow x 3)))
(.f64 (.f64 x x) (.f64 #s(literal 1/24 binary64) (.f64 a (*.f64 a x))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (.f64 x (.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)))))
(* (pow x 3) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
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1
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1
#s(literal 1 binary64)
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(pow a 3)
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1/6
#s(literal 1/6 binary64)
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1/6
#s(literal 1/6 binary64)
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(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* x (+ (* 1/24 a) (* 1/6 (/ 1 x))))
(fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))
(* 1/24 (* a x))
(.f64 a (.f64 x #s(literal 1/24 binary64)))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/24 binary64)) #s(literal 1/6 binary64))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/24 binary64)) #s(literal 1/6 binary64))
(* -1 (* x (- (* -1/24 a) (* 1/6 (/ 1 x)))))
(fma.f64 (neg.f64 x) (*.f64 a #s(literal -1/24 binary64)) #s(literal 1/6 binary64))

eval231.0ms (2.4%)

Memory: 43.0MiB live, 359.2MiB allocated
Compiler: Compiled 26 720 to 2 579 computations (90.3% saved)

prune121.0ms (1.2%)

Memory

36.2MiB live, 314.5MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	1 033	11	1 044
Fresh	7	6	13
Picked	3	2	5
Done	0	3	3
Total	1 043	22	1 065

Accuracy

100.0%

Counts

1 065 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.1%	(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
	21.7%	(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 a x))) #s(literal -1 binary64))
	60.1%	(fma.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) a (.f64 a x))
	66.0%	(fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (.f64 a x))
	61.1%	(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
▶	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	18.1%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
	5.3%	(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	49.4%	(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
✓	16.4%	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
▶	67.2%	(*.f64 x a)
	67.1%	(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
▶	66.1%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
	60.2%	(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
	66.0%	(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
	51.9%	(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
	60.2%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
	15.5%	(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
▶	17.1%	(.f64 a (.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	17.0%	#s(literal 0 binary64)

Compiler

Compiled 675 to 393 computations (41.8% saved)

simplify489.0ms (5%)

Memory

-84.2MiB live, 613.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)
✓	cost-diff	0	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
✓	cost-diff	0	(.f64 a (.f64 a (*.f64 x x)))
✓	cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
✓	cost-diff	0	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	320	(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 a (.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(*.f64 x a)
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(*.f64 a (+.f64 x x))
✓	cost-diff	0	(expm1.f64 (*.f64 a (+.f64 x x)))
✓	cost-diff	0	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))

Rules

17 932×	`lower-fma.f32`
17 922×	`lower-fma.f64`
3 530×	`lower-+.f32`
3 526×	`lower-+.f64`
2 834×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	258
0	65	258
1	142	258
2	372	257
3	1200	257
4	2432	257
5	6086	257
6	6390	257
7	6476	257
8	6596	257
9	7033	257
0	8074	256

Stop Event

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

Calls

Call 1

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

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

localize135.0ms (1.4%)

Memory

18.3MiB live, 220.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 x #s(literal 1/24 binary64))
✓	accuracy	99.2%	(fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)
✓	accuracy	99.2%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
✓	accuracy	97.4%	(fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	94.1%	(.f64 a (.f64 a (*.f64 x x)))
✓	accuracy	87.8%	(.f64 a (.f64 x x))
✓	accuracy	99.8%	(.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(*.f64 x #s(literal 1/6 binary64))
✓	accuracy	95.6%	(.f64 a (.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
✓	accuracy	88.3%	(.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(*.f64 x a)
✓	accuracy	100.0%	(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a x)))
✓	accuracy	99.9%	(expm1.f64 (*.f64 a (+.f64 x x)))

Samples

94.0ms

256×

valid

Compiler

Compiled 283 to 40 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 42.0ms (59.7% of total)

ival-add: 8.0ms (11.4% of total)

ival-exp: 6.0ms (8.5% of total)

const: 6.0ms (8.5% of total)

ival-pow: 3.0ms (4.3% of total)

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

ival-expm1: 2.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.6%)

Memory

-29.7MiB live, 52.9MiB allocated

Counts

22 → 480

Calls

Call 1

Inputs
#<alt (/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))>
#<alt (expm1.f64 (*.f64 a (+.f64 x x)))>
#<alt (*.f64 a (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (*.f64 x a)>
#<alt (.f64 a (.f64 a (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))>
#<alt (.f64 a (.f64 (.f64 x x) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))>
#<alt (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))>
#<alt (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/6 binary64))>
#<alt (.f64 a (.f64 a (*.f64 x x)))>
#<alt (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))>
#<alt (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)>
#<alt (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 a x)>
#<alt (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a x)))>
#<alt (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a x))) #s(literal 1 binary64))>
#<alt (.f64 a (.f64 x x))>
#<alt (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))>
#<alt (*.f64 x #s(literal 1/24 binary64))>

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

Calls

120 calls:

Time	Variable		Point	Expression
12.0ms	a	@	0	(* x a)
1.0ms	a	@	-inf	(/ (- (exp (* a (+ x x))) 1) (+ (pow (exp 2) (* 1/2 (* a x))) 1))
1.0ms	x	@	inf	(* a (* a (* (* x x) (+ (* a (* x 1/6)) 1/2))))
1.0ms	x	@	-inf	(* a (* a (* (* x x) (+ (* a (* x 1/6)) 1/2))))
1.0ms	a	@	0	(* a (* a (* (* x x) (+ (* a (* x 1/6)) 1/2))))

rewrite438.0ms (4.5%)

Memory

22.4MiB live, 615.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 940×	`lower-fma.f32`
4 930×	`lower-fma.f64`
4 772×	`lower-*.f32`
4 742×	`lower-*.f64`
3 480×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	199
0	65	210
1	249	196
2	1796	174
0	9660	170

Stop Event

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

Counts

22 → 1 343

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) #s(literal -1 binary64)))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (neg.f64 (expm1.f64 (+.f64 x x))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)))))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 a (+.f64 x x)))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64))))
(expm1.f64 (.f64 #s(literal 2 binary64) (fma.f64 a (.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 x #s(literal 1/2 binary64))))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 2 binary64)))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 a (+.f64 x x))))
(expm1.f64 (.f64 (log.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (.f64 a (.f64 x #s(literal 1/2 binary64)))))
(expm1.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) #s(literal 2 binary64))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) (+.f64 x x)))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 a (+.f64 x x)) #s(literal 4 binary64))))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (E.f64) a)) x))
(expm1.f64 (*.f64 (log.f64 (pow.f64 (E.f64) x)) a))
(expm1.f64 (.f64 (log.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (E.f64)))) (.f64 (.f64 a x) #s(literal 1/4 binary64))))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 a a))) x))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) a))
(expm1.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (.f64 #s(literal 1 binary64) (.f64 (*.f64 a x) #s(literal 3 binary64))))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (.f64 a (.f64 (+.f64 x x) #s(literal 3 binary64))))
(expm1.f64 (.f64 a (.f64 #s(literal 2 binary64) (+.f64 x x))))
(expm1.f64 (.f64 (.f64 a (+.f64 x x)) #s(literal 3/2 binary64)))
(expm1.f64 (.f64 (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (fma.f64 #s(literal 2 binary64) (.f64 (.f64 a x) #s(literal 1/4 binary64)) (*.f64 a (+.f64 x x))))
(expm1.f64 (fma.f64 a (+.f64 x x) (.f64 #s(literal 2 binary64) (.f64 (*.f64 a x) #s(literal 1/4 binary64)))))
(expm1.f64 (fma.f64 (.f64 a (+.f64 x x)) #s(literal 3 binary64) (.f64 (*.f64 a (+.f64 x x)) #s(literal 3 binary64))))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (+.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))) #s(literal 3 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 (+.f64 x x))))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) (/.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a x)) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 a (/.f64 (+.f64 x x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (.f64 a x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)))))
(/.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (.f64 (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)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 9 binary64)) #s(literal 1/512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 6 binary64)) (-.f64 #s(literal 1/64 binary64) (.f64 (.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) #s(literal 1/8 binary64)))) (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) #s(literal 6 binary64)) #s(literal 1/64 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) #s(literal 1/4 binary64)))) (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))))) #s(literal 1/16 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 (.f64 a x) (.f64 a (.f64 a (.f64 x x)))) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64))) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) (.f64 (.f64 a x) (.f64 (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))))
(.f64 (fma.f64 (.f64 a x) (.f64 (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) (.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)

simplify517.0ms (5.3%)

Memory

45.9MiB live, 897.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 682×	`lower-fma.f64`
16 682×	`lower-fma.f32`
7 178×	`lower-*.f64`
7 178×	`lower-*.f32`
3 582×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	463	5028
1	1575	4835
2	5261	4673
0	8391	4341

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 478

Calls

Call 1

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

Outputs
(* a x)
(*.f64 a x)
(* a (+ x (* a (- (pow x 2) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(* a (+ x (* a (- (+ (* a (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))
(* a (+ x (* a (- (+ (* a (- (+ (* 2/3 (pow x 3)) (* a (- (* 1/3 (pow x 4)) (+ (* 1/12 (pow x 4)) (+ (* 1/4 (* (pow x 2) (- (pow x 2) (* 1/2 (pow x 2))))) (* 1/2 (* x (- (* 2/3 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))))))))) (+ (* 1/4 (pow x 3)) (* 1/2 (* x (- (pow x 2) (* 1/2 (pow x 2)))))))) (pow x 2)) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (.f64 x (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64))))) (.f64 x #s(literal -1/2 binary64)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 5/12 binary64) (.f64 #s(literal 1/2 binary64) (.f64 x (.f64 (.f64 x x) #s(literal -1/2 binary64)))))) (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
(/ (- (exp (* 2 (* a x))) 1) (+ 1 (exp (* a x))))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x))))
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (* a x)))
(fma.f64 x (*.f64 a #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 a (.f64 x (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ (* 1/24 (* (pow a 2) x)) (* 1/6 a))))
(fma.f64 a (.f64 x (fma.f64 (.f64 a #s(literal 1/24 binary64)) x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/24 binary64)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (+ (* 1/6 (/ a x)) (/ 1/2 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/24 (* (pow a 2) (pow x 2)))
(.f64 x (.f64 x (.f64 a (.f64 a #s(literal 1/24 binary64)))))
(* (pow x 2) (+ (* 1/24 (pow a 2)) (* 1/6 (/ a x))))
(.f64 (.f64 x x) (*.f64 a (fma.f64 a #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/6 a) (* 1/2 (/ 1 x))) x)) (* 1/24 (pow a 2))))
(.f64 (.f64 x x) (-.f64 (.f64 a (.f64 a #s(literal 1/24 binary64))) (/.f64 (fma.f64 a #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))

eval619.0ms (6.3%)

Memory: -45.4MiB live, 687.9MiB allocated
Compiler: Compiled 54 756 to 4 328 computations (92.1% saved)

prune261.0ms (2.7%)

Memory

30.2MiB live, 475.7MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1 957	6	1 963
Fresh	4	8	12
Picked	2	3	5
Done	0	5	5
Total	1 963	22	1 985

Accuracy

100.0%

Counts

1 985 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.7%	(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 a x))) #s(literal -1 binary64))
	60.1%	(fma.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) a (.f64 a x))
	66.0%	(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
	61.1%	(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
✓	100.0%	(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
✓	18.1%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
	5.3%	(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	49.4%	(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
	17.1%	(.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x))))
✓	16.4%	(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
✓	67.2%	(*.f64 x a)
	67.1%	(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
	53.6%	(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
✓	66.1%	(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
	66.0%	(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
	60.2%	(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
	60.2%	(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
	15.5%	(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
	16.2%	(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	17.0%	#s(literal 0 binary64)

Compiler

Compiled 1 028 to 365 computations (64.5% saved)

regimes148.0ms (1.5%)

Memory

-26.5MiB live, 90.4MiB allocated

Counts

44 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) a (.f64 a x))
(-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 a x))) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (.f64 a (.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a x)) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a (+.f64 x x))))))

Outputs
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))

Calls

5 calls:

79.0ms	x
32.0ms	(*.f64 a x)
15.0ms	a
10.0ms	(exp.f64 (*.f64 a x))
10.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

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)

regimes61.0ms (0.6%)

Memory

6.9MiB live, 125.4MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) a (.f64 a x))
(-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 a x))) #s(literal -1 binary64))
(expm1.f64 (*.f64 a x))
(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))

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

Calls

5 calls:

13.0ms	a
13.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
11.0ms	x
11.0ms	(*.f64 a x)
10.0ms	(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)

regimes58.0ms (0.6%)

Memory

11.6MiB live, 140.4MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))
(fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (.f64 a x))
(fma.f64 (.f64 (.f64 a x) (fma.f64 (.f64 a x) (fma.f64 (.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(fma.f64 (.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) a (.f64 a x))
(-.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal 1 binary64)) (fma.f64 a (.f64 a (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 a x)))) #s(literal 1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 a x #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))))
(fma.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 a a) #s(literal -1 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a a)) #s(literal -1 binary64))) (-.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal -1 binary64) (.f64 a x))) #s(literal -1 binary64))

Outputs

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

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

Calls

5 calls:

16.0ms	x
11.0ms	(*.f64 a x)
10.0ms	a
9.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
8.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
81.0%	2	`a`
79.1%	2	`x`
98.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.9%	2	`(exp.f64 (*.f64 a x))`
98.9%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes25.0ms (0.3%)

Memory

-19.7MiB live, 56.3MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x))

Outputs

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

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

Calls

3 calls:

10.0ms	(*.f64 a x)
7.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
7.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
98.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.9%	2	`(exp.f64 (*.f64 a x))`
98.9%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes23.0ms (0.2%)

Memory

17.5MiB live, 56.8MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))
(.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a x)) x x))
(/.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (*.f64 a x))
(-.f64 (/.f64 (.f64 a (.f64 a (*.f64 x x))) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 a (.f64 a (.f64 x x)) #s(literal -1 binary64)) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 a x) (.f64 a x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(fma.f64 x a (.f64 (.f64 a (.f64 x x)) (.f64 (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a)))
(fma.f64 x a (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (*.f64 x x)))))
(fma.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (.f64 a (.f64 a (.f64 x x))) (*.f64 a x))
(.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 #s(literal 1/24 binary64) (.f64 a (.f64 a a)))))
(.f64 a (fma.f64 a (.f64 (.f64 (.f64 x (.f64 x x)) x) (.f64 a (*.f64 a #s(literal 1/24 binary64)))) x))
(.f64 a (fma.f64 (.f64 (.f64 x x) (.f64 x (.f64 a (.f64 a (*.f64 a #s(literal 1/24 binary64)))))) x x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (.f64 a (.f64 x #s(literal 1/24 binary64))) #s(literal 1/2 binary64)))) x))
(.f64 a (fma.f64 a (.f64 x (.f64 x (fma.f64 (.f64 a x) (fma.f64 (*.f64 a x) #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.9%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.9%	2	`(exp.f64 (*.f64 a x))`
98.9%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes15.0ms (0.2%)

Memory

-6.3MiB live, 35.3MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 x (.f64 a (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 a (fma.f64 (.f64 a (*.f64 x x)) #s(literal 1/2 binary64) x))
(.f64 a (fma.f64 (.f64 (*.f64 a x) #s(literal 1/2 binary64)) x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 a (.f64 a a))))
(.f64 a (.f64 a (.f64 (.f64 x x) (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)) (.f64 a (.f64 a (*.f64 x x))))
(.f64 a (fma.f64 (.f64 a (.f64 x x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.8%	2	`(exp.f64 (*.f64 a x))`
98.8%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes9.0ms (0.1%)

Memory

-17.4MiB live, 21.5MiB allocated

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.6%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
98.6%	2	`(exp.f64 (*.f64 a x))`
98.6%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes12.0ms (0.1%)

Memory

30.2MiB live, 30.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(*.f64 x a)
(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 a (.f64 a (.f64 (.f64 x x) #s(literal 1/2 binary64))))

Outputs
(*.f64 a x)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
67.2%	1	`x`
67.2%	1	`a`
67.2%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
67.2%	1	`(exp.f64 (*.f64 a x))`
67.2%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes42.0ms (0.4%)

Memory

-22.7MiB live, 16.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)

Calls

5 calls:

35.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
2.0ms	x
1.0ms	a
1.0ms	(*.f64 a x)
1.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
17.0%	1	`x`
17.0%	1	`a`
17.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
17.0%	1	`(exp.f64 (*.f64 a x))`
17.0%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-24197.897108841084	-8.303813122818949e-11

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-24197.897108841084	-8.303813122818949e-11

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-24197.897108841084	-8.303813122818949e-11

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-24197.897108841084	-8.303813122818949e-11

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-24197.897108841084	-8.303813122818949e-11

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify8.0ms (0.1%)

Memory

14.1MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	165
1	68	165
2	71	165
3	76	165

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

Outputs
(/.f64 (expm1.f64 (.f64 a (+.f64 x x))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (*.f64 a x))) #s(literal 1 binary64)))
(expm1.f64 (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 (.f64 a (.f64 a x)) (.f64 x (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (*.f64 a x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (.f64 x (fma.f64 a (.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 (.f64 (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 a x)) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 a (fma.f64 (.f64 (.f64 a x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) x x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 a (fma.f64 x (.f64 a (.f64 x #s(literal 1/2 binary64))) x)))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal 1 binary64)) (.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -20000 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 a x))
(*.f64 a x)
#s(literal 0 binary64)

soundness1.8s (18.2%)

Memory

38.0MiB live, 1 013.8MiB allocated

Rules

22 626×	`lower-fma.f64`
22 626×	`lower-fma.f32`
8 560×	`lower-fma.f64`
8 560×	`lower-fma.f32`
6 638×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	94
0	43	80
1	171	80
2	1352	80
0	9116	80
0	6	13
0	9	13
1	30	13
2	152	13
0	1346	11
0	482	4175
1	1631	4044
2	5008	3904
0	8643	3611
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
0	35	188
0	67	178
1	259	155
2	1881	147
0	8859	141

Stop Event

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

Compiler

Compiled 495 to 260 computations (47.5% saved)

preprocess125.0ms (1.3%)

Memory: -65.1MiB live, 139.5MiB allocated
Remove: (sort a x)
Compiler: Compiled 400 to 144 computations (64% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

analyze18.0ms (0.2%)

sample557.0ms (5.7%)

preprocess20.0ms (0.2%)

explain90.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize18.0ms (0.2%)

series4.0ms (0%)

rewrite147.0ms (1.5%)

simplify368.0ms (3.8%)

eval64.0ms (0.7%)

prune21.0ms (0.2%)

simplify225.0ms (2.3%)

localize86.0ms (0.9%)

series26.0ms (0.3%)

rewrite331.0ms (3.4%)

simplify663.0ms (6.8%)

eval179.0ms (1.8%)

prune163.0ms (1.7%)

simplify303.0ms (3.1%)

localize174.0ms (1.8%)

series72.0ms (0.7%)

rewrite387.0ms (3.9%)

simplify697.0ms (7.1%)

eval231.0ms (2.4%)

prune121.0ms (1.2%)

simplify489.0ms (5%)

localize135.0ms (1.4%)

series56.0ms (0.6%)

rewrite438.0ms (4.5%)

simplify517.0ms (5.3%)

eval619.0ms (6.3%)

prune261.0ms (2.7%)

regimes148.0ms (1.5%)

regimes61.0ms (0.6%)

regimes58.0ms (0.6%)

regimes25.0ms (0.3%)

regimes23.0ms (0.2%)

regimes15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes12.0ms (0.1%)

regimes42.0ms (0.4%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.8s (18.2%)

preprocess125.0ms (1.3%)

end0.0ms (0%)

Profiling

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