Metrics for expax (section 3.5)

analyze19.0ms (0.2%)

Memory

-5.4MiB live, 33.5MiB 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)

sample614.0ms (6.5%)

Memory

18.8MiB live, 1 078.4MiB allocated

Samples

350.0ms	8 256×	0	valid
14.0ms	336×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-mult: 77.0ms (40.3% of total)

ival-expm1: 62.0ms (32.4% of total)

ival->: 41.0ms (21.4% of total)

exact: 8.0ms (4.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess15.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB 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
1	14	6
2	17	6
0	17	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)

Outputs
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))

Symmetry

(sort a x)

explain69.0ms (0.7%)

Memory

-15.4MiB live, 106.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`	cancellation	126	0

Confusion

	Predicted +	Predicted -
+	126	0
-	0	130

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	0
-	0	1	129

Precision?

0.9921259842519685

Recall?

1.0

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

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 (33.7% of total)

ival-mult: 4.0ms (33.7% of total)

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

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Memory

5.0MiB live, 5.0MiB 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×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`
4×	`pow-lowering-pow.f32`
4×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* a x)
a
x
1

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

localize20.0ms (0.2%)

Memory

-8.6MiB live, 29.3MiB 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	55.3%	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (54% of total)

ival-exp: 2.0ms (27% of total)

ival-expm1: 2.0ms (27% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (exp (* a x))>
#<alt (* a x)>

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

Calls

18 calls:

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

rewrite313.0ms (3.3%)

Memory

-60.3MiB live, 109.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

806×	`accelerator-lowering-fma.f32`
806×	`accelerator-lowering-fma.f64`
650×	`-lowering-.f32`
650×	`-lowering-.f64`
594×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	27	13
2	149	13
0	1340	11

Stop Event

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

Counts

3 → 111

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(exp (* a x))
(* 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))))))
(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))))))))
(expm1.f64 (*.f64 a x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) a))
(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 a (+.f64 x x))) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 a x)) #s(literal 1 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 (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)

simplify312.0ms (3.3%)

Memory

34.4MiB live, 302.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 560×	`accelerator-lowering-fma.f32`
8 560×	`accelerator-lowering-fma.f64`
3 454×	`associate-r`
2 992×	`-lowering-.f32`
2 992×	`-lowering-.f64`

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)

eval19.0ms (0.2%)

Memory: 6.8MiB live, 45.3MiB allocated
Compiler: Compiled 3 186 to 324 computations (89.8% saved)

prune20.0ms (0.2%)

Memory

-27.9MiB live, 49.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	176	7	183
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	7	184

Accuracy

100.0%

Counts

184 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
▶	24.0%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	22.1%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
	64.6%	(.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))
▶	63.7%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
▶	68.1%	(*.f64 a x)
▶	100.0%	(expm1.f64 (*.f64 a x))

Compiler

Compiled 126 to 80 computations (36.5% saved)

simplify320.0ms (3.4%)

Memory

-3.3MiB live, 396.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

13 500×	`accelerator-lowering-fma.f32`
13 500×	`accelerator-lowering-fma.f64`
3 114×	`-lowering-.f32`
3 114×	`-lowering-.f64`
3 002×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	60
1	39	60
2	72	60
3	216	60
4	782	60
5	2840	60
6	4962	60
7	7855	60
0	8114	55

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
a
x
(- 1 1)
1
(* a x)
a
x
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
a
x
1
(* a (+ (* a (* 1/2 (* x x))) x))
a
(+ (* a (* 1/2 (* x x))) x)
(* 1/2 (* x x))
1/2
(* x x)
x

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

localize66.0ms (0.7%)

Memory

29.4MiB live, 104.3MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 x x))
✓	accuracy	98.8%	(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
✓	accuracy	91.6%	(fma.f64 a (.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
✓	accuracy	100.0%	(fma.f64 a x #s(literal 1 binary64))
✓	accuracy	55.3%	(-.f64 (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	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

20.0ms	84×	2	valid
18.0ms	84×	1	valid
9.0ms	88×	0	valid

Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 9.0ms (32.7% of total)

adjust: 5.0ms (18.2% of total)

ival-sub: 5.0ms (18.2% of total)

ival-add: 3.0ms (10.9% of total)

ival-expm1: 3.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-28.7MiB live, 12.7MiB allocated

Counts

9 → 168

Calls

Call 1

Inputs
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (- 1 1)>
#<alt (- (+ (* a x) 1) 1)>
#<alt (+ (* a x) 1)>
#<alt (* a (+ (* a (* 1/2 (* x x))) x))>
#<alt (+ (* a (* 1/2 (* x x))) x)>
#<alt (* 1/2 (* x x))>
#<alt (* x x)>

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

Calls

42 calls:

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

rewrite364.0ms (3.8%)

Memory

11.6MiB live, 485.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 428×	`accelerator-lowering-fma.f32`
9 428×	`accelerator-lowering-fma.f64`
5 232×	`-lowering-.f32`
5 232×	`-lowering-.f64`
3 696×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	85	46
2	654	46
0	8898	41

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 569

Calls

Call 1

Inputs
(- (exp (* a x)) 1)
(* a x)
(- 1 1)
(- (+ (* a x) 1) 1)
(+ (* a x) 1)
(* a (+ (* a (* 1/2 (* x x))) x))
(+ (* a (* 1/2 (* x x))) x)
(* 1/2 (* x x))
(* x x)

Outputs
(+.f64 (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (*.f64 a x)))
(+.f64 (/.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (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 (.f64 a x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (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 (.f64 a x) #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a (+.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (exp.f64 (.f64 a x)) #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (.f64 (.f64 a x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (exp.f64 (.f64 a (+.f64 x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) (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 #s(literal 1/2 binary64)))) (exp.f64 (.f64 a (.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 (fma.f64 a x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (fma.f64 a x #s(literal 1 binary64))) (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 (fma.f64 a x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 (exp.f64 (.f64 a x)) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64))) (/.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a x)) #s(literal 1 binary64)))))
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(.f64 (.f64 a (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) a) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))))
(.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) a) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(+.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)
(fma.f64 x #s(literal 1 binary64) (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (.f64 a x) (.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (.f64 x (.f64 a x)) x)
(fma.f64 (.f64 x x) (.f64 a #s(literal 1/2 binary64)) x)
(fma.f64 (.f64 x (.f64 x #s(literal 1/2 binary64))) a x)
(fma.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64) x)
(fma.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(fma.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 x x) x)
(fma.f64 (.f64 x #s(literal 1/2 binary64)) (.f64 a x) x)
(fma.f64 (.f64 x (.f64 a x)) #s(literal 1/2 binary64) x)
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) x x)
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 a x) x)
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) a) x x)
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.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)))) x)
(fma.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) (.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))) x)
(neg.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) (neg.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))) (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (neg.f64 (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (neg.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x) (.f64 x x))) (.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x)) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (fma.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (.f64 x (neg.f64 x)) x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (.f64 (.f64 x x) (fma.f64 x x (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)) (.f64 x x)) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 a a) #s(literal 1/4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x))) (.f64 (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)) (/.f64 (.f64 x x) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))) x))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) (-.f64 (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64)))) x)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)))
(.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 (.f64 a (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (.f64 a (.f64 x (.f64 x #s(literal 1/2 binary64))))) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))))))
(.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64))) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 a a) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))))))
(.f64 (fma.f64 a (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)
(.f64 x (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify455.0ms (4.8%)

Memory

22.7MiB live, 527.8MiB allocated

Algorithm

1×	egg-herbie

Rules

17 360×	`accelerator-lowering-fma.f32`
17 360×	`accelerator-lowering-fma.f64`
5 612×	`-lowering-.f32`
5 612×	`-lowering-.f64`
2 190×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	992
1	308	992
2	783	988
3	2436	988
4	6574	988
0	8168	890

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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 (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
x
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(+ x (* 1/2 (* a (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* a (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* a (pow x 2)))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
(* -1 (* a (+ (* -1 (/ x a)) (* -1/2 (pow x 2)))))
x
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* x (+ 1 (* 1/2 (* a x))))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (* a (pow x 2)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* (pow x 2) (+ (* 1/2 a) (/ 1 x)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(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)

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

eval209.0ms (2.2%)

Memory: 3.4MiB live, 122.1MiB allocated
Compiler: Compiled 19 202 to 1 260 computations (93.4% saved)

prune141.0ms (1.5%)

Memory

22.9MiB live, 183.1MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	863	17	880
Fresh	1	1	2
Picked	3	2	5
Done	0	0	0
Total	867	20	887

Accuracy

100.0%

Counts

887 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(fma.f64 (fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
	67.3%	(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
	23.3%	(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #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))))
	18.3%	(/.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (.f64 x (.f64 a x))))
	26.5%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
	18.3%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))
	26.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
▶	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
	5.6%	(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
	23.3%	(-.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
▶	22.6%	(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
	24.0%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
	23.3%	(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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)))))
▶	67.8%	(.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))))
	25.7%	(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	68.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	67.3%	(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
✓	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
▶	22.1%	#s(literal 0 binary64)

Compiler

Compiled 665 to 333 computations (49.9% saved)

simplify295.0ms (3.1%)

Memory

-27.4MiB live, 483.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(.f64 x (.f64 a x))
✓	cost-diff	0	(fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64))
✓	cost-diff	192	(fma.f64 (fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(fma.f64 a x #s(literal 2 binary64))
✓	cost-diff	0	(.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))
✓	cost-diff	2112	(.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))))
✓	cost-diff	0	(.f64 x (.f64 x #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	cost-diff	576	(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	0	(expm1.f64 (*.f64 a x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))

Rules

11 792×	`accelerator-lowering-fma.f32`
11 792×	`accelerator-lowering-fma.f64`
4 386×	`-lowering-.f32`
4 386×	`-lowering-.f64`
1 658×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	199
1	90	195
2	245	179
3	601	179
4	3039	179
5	4981	179
6	7231	179
0	8039	160

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ 1 (- (exp (* a x)) 1)))
1
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(* a x)
a
x
0
(+ (+ (* a (* a (* x (* x 1/2)))) 1) (+ (* a x) -1))
(+ (* a (* a (* x (* x 1/2)))) 1)
a
(* a (* x (* x 1/2)))
(* x (* x 1/2))
x
(* x 1/2)
1/2
1
(+ (* a x) -1)
-1
(* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
a
x
2
(* a x)
(/ 1 (+ (* a x) 2))
1
(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
(+ (* (* x (* a x)) (* a (* a x))) -1)
(* x (* a x))
x
(* a x)
a
(* a (* a x))
-1
(/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))
1
(+ (* (* a x) (+ (* a x) 1)) 1)
(+ (* a x) 1)

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

localize160.0ms (1.7%)

Memory

30.5MiB live, 220.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	99.8%	(.f64 a (.f64 a x))
✓	accuracy	97.8%	(fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64))
✓	accuracy	33.1%	(fma.f64 (fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	99.9%	(.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x))
✓	accuracy	82.3%	(.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))))
✓	accuracy	100.0%	(*.f64 x #s(literal 1/2 binary64))
✓	accuracy	98.8%	(fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓	accuracy	87.8%	(.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64))))
✓	accuracy	49.1%	(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a x))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))

Samples

47.0ms	79×	2	valid
41.0ms	83×	1	valid
22.0ms	88×	0	valid
5.0ms	6×	3	valid

Compiler

Compiled 194 to 34 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 27.0ms (33.3% of total)

ival-div: 21.0ms (25.9% of total)

ival-add: 17.0ms (21% of total)

adjust: 12.0ms (14.8% of total)

ival-expm1: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series38.0ms (0.4%)

Memory

2.4MiB live, 39.9MiB allocated

Counts

17 → 384

Calls

Call 1

Inputs
#<alt (/ 1 (/ 1 (- (exp (* a x)) 1)))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (+ (+ (* a (* a (* x (* x 1/2)))) 1) (+ (* a x) -1))>
#<alt (+ (* a (* a (* x (* x 1/2)))) 1)>
#<alt (* a (* x (* x 1/2)))>
#<alt (* x (* x 1/2))>
#<alt (* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))>
#<alt (* (+ (* a x) 2) (* a x))>
#<alt (+ (* a x) 2)>
#<alt (+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)>
#<alt (+ (* (* x (* a x)) (* a (* a x))) -1)>
#<alt (* x (* a x))>
#<alt (* x 1/2)>
#<alt (/ 1 (+ (* a x) 2))>
#<alt (* a (* 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 (* a x))>
#<alt (/ (+ (* -1/2 a) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)>
#<alt (/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (* a x))>
#<alt (/ (+ (* -1/2 x) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)>
#<alt (/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (/ 1 (- (exp (* a x)) 1))>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (- (exp (* a x)) 1)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* a (+ x (* 1/2 (* a (pow x 2)))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))>
#<alt (* a x)>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* x (+ a (* 1/2 (* (pow a 2) x))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt (* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow a 2) (pow x 2))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow a 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (* a (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (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 (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* a x)>
#<alt (* 2 (* a x))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* a (+ (* 2 x) (* a (pow x 2))))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))>
#<alt (* 2 (* a x))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* x (+ (* 2 a) (* (pow a 2) x)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow a 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a (+ x (* 2 (/ 1 a))))>
#<alt (* a x)>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt (* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))>
#<alt 2>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (+ 2 (* a x))>
#<alt (* a x)>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* x (+ a (* 2 (/ 1 x))))>
#<alt (* a x)>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))>
#<alt (* a x)>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (+ (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (pow a 3)))) (pow a 2))))))>
#<alt (* x (+ a (* x (+ (* -1 (pow a 2)) (+ (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (+ (* x (- (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2))))) (pow a 4))) (pow a 3))))) (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 (* a x)>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (+ (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))))>
#<alt (* a (+ x (* a (+ (* -1 (pow x 2)) (+ (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (+ (* a (- (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))) (pow x 4))) (pow x 3))))) (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 -1>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (- (* (pow a 3) (pow x 3)) 1)>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))>
#<alt (* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))>
#<alt (* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))>
#<alt (* (pow a 3) (pow x 3))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))>
#<alt (* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* a (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))>
#<alt (+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)>
#<alt (/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)>
#<alt (/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 (* a x)))>
#<alt (+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))>
#<alt (+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))>
#<alt (/ 1 (* a x))>
#<alt (/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)>
#<alt (/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)>
#<alt (/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)>
#<alt (/ 1 (* a x))>
#<alt (* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>
#<alt (* (pow a 2) x)>

Calls

96 calls:

Time	Variable		Point	Expression
8.0ms	x	@	inf	(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
3.0ms	a	@	inf	(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
3.0ms	x	@	-inf	(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
3.0ms	a	@	-inf	(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
1.0ms	a	@	0	(/ 1 (- (exp (* a x)) 1))

rewrite371.0ms (3.9%)

Memory

24.8MiB live, 452.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 760×	`-lowering-.f32`
4 760×	`-lowering-.f64`
4 594×	`accelerator-lowering-fma.f32`
4 594×	`accelerator-lowering-fma.f64`
4 470×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	140
1	210	122
2	1850	120
0	8270	107

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 016

Calls

Call 1

Inputs
(/ 1 (/ 1 (- (exp (* a x)) 1)))
(/ 1 (- (exp (* a x)) 1))
(- (exp (* a x)) 1)
(* a x)
(+ (+ (* a (* a (* x (* x 1/2)))) 1) (+ (* a x) -1))
(+ (* a (* a (* x (* x 1/2)))) 1)
(* a (* x (* x 1/2)))
(* x (* x 1/2))
(* (* (+ (* a x) 2) (* a x)) (/ 1 (+ (* a x) 2)))
(* (+ (* a x) 2) (* a x))
(+ (* a x) 2)
(+ (* (+ (* (* x (* a x)) (* a (* a x))) -1) (/ 1 (+ (* (* a x) (+ (* a x) 1)) 1))) 1)
(+ (* (* x (* a x)) (* a (* a x))) -1)
(* x (* a x))
(* x 1/2)
(/ 1 (+ (* a x) 2))
(* a (* a x))

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

simplify365.0ms (3.8%)

Memory

4.3MiB live, 429.6MiB allocated

Algorithm

1×	egg-herbie

Rules

11 076×	`accelerator-lowering-fma.f32`
11 076×	`accelerator-lowering-fma.f64`
4 242×	`-lowering-.f32`
4 242×	`-lowering-.f64`
3 554×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	2846
1	1226	2832
2	3762	2776
3	7850	2776
0	8556	2554

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(/ 1 (- (exp (* a x)) 1))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(* a (+ x (* a (+ (* 1/2 (pow x 2)) (* a (+ (* 1/24 (* a (pow x 4))) (* 1/6 (pow x 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(- (exp (* a x)) 1)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
1
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
1
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* a x)
(* x (+ a (* x (+ (* -1 (pow a 2)) (pow a 2)))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (+ (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (pow a 3)))) (pow a 2))))))
(* x (+ a (* x (+ (* -1 (pow a 2)) (+ (* x (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (+ (* -1 (pow a 3)) (+ (* x (- (+ (* -1 (* a (+ (* -1 (* a (+ (* -1 (pow a 2)) (pow a 2)))) (* -1 (pow a 3))))) (* -1 (* (pow a 2) (+ (* -1 (pow a 2)) (pow a 2))))) (pow a 4))) (pow a 3))))) (pow a 2))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a (+ x (* a (+ (* -1 (pow x 2)) (pow x 2)))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (+ (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))))
(* a (+ x (* a (+ (* -1 (pow x 2)) (+ (* a (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* -1 (pow x 3)) (+ (* a (- (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))))) (* -1 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))) (pow x 4))) (pow x 3))))) (pow x 2))))))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
-1
(- (* (pow a 3) (pow x 3)) 1)
(- (* (pow a 3) (pow x 3)) 1)
(- (* (pow a 3) (pow x 3)) 1)
(* (pow a 3) (pow x 3))
(* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))
(* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))
(* (pow x 3) (- (pow a 3) (/ 1 (pow x 3))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))
(* -1 (* (pow x 3) (+ (* -1 (pow a 3)) (/ 1 (pow x 3)))))
-1
(- (* (pow a 3) (pow x 3)) 1)
(- (* (pow a 3) (pow x 3)) 1)
(- (* (pow a 3) (pow x 3)) 1)
(* (pow a 3) (pow x 3))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(* (pow a 3) (pow x 3))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* a (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(/ 1 (* a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(/ 1 (* a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)
(* (pow a 2) x)

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 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 x #s(literal 1/24 binary64)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/.f64 (fma.f64 a #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* -1 (* a (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 a (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)
(/ (+ (* a (- (* a (- (* -1 (* a (+ (* -1/2 (* x (+ (* -1/4 x) (* 1/6 x)))) (+ (* -1/12 (pow x 2)) (* 1/24 (pow x 2)))))) (+ (* -1/4 x) (* 1/6 x)))) 1/2)) (/ 1 x)) a)
(/.f64 (fma.f64 a (fma.f64 a (-.f64 (.f64 x #s(literal 1/12 binary64)) (.f64 a (.f64 x (fma.f64 #s(literal -1/2 binary64) (.f64 x #s(literal -1/12 binary64)) (*.f64 x #s(literal -1/24 binary64)))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a)
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* -1 (* x (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 x (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)
(/ (+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* a (+ (* -1/4 a) (* 1/6 a)))) (+ (* -1/12 (pow a 2)) (* 1/24 (pow a 2)))))) (+ (* -1/4 a) (* 1/6 a)))) 1/2)) (/ 1 a)) x)
(/.f64 (fma.f64 x (fma.f64 x (-.f64 (.f64 a #s(literal 1/12 binary64)) (.f64 x (.f64 a (fma.f64 a #s(literal -1/24 binary64) (.f64 #s(literal -1/2 binary64) (*.f64 a #s(literal -1/12 binary64))))))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) x)
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(/ 1 (- (exp (* a x)) 1))
(/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x)))
(* a x)
(*.f64 a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* a (+ x (* a (+ (* 1/6 (* a (pow x 3))) (* 1/2 (pow x 2))))))
(.f64 a (fma.f64 a (.f64 (.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 x (.f64 x (.f64 x x))) (.f64 a #s(literal 1/24 binary64))) (.f64 (.f64 x x) (fma.f64 a (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(- (exp (* a x)) 1)
(expm1.f64 (*.f64 a x))
(* a x)
(*.f64 a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(.f64 x (fma.f64 x (.f64 #s(literal 1/2 binary64) (*.f64 a a)) a))
(* x (+ a (* x (+ (* 1/6 (* (pow a 3) x)) (* 1/2 (pow a 2))))))
(.f64 x (fma.f64 x (fma.f64 x (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
(* x (+ a (* x (+ (* 1/2 (pow a 2)) (* x (+ (* 1/24 (* (pow a 4) x)) (* 1/6 (pow a 3))))))))
(.f64 x (fma.f64 x (fma.f64 x (fma.f64 (.f64 a (.f64 a (.f64 a a))) (.f64 x #s(literal 1/24 binary64)) (.f64 a (.f64 a (.f64 a #s(literal 1/6 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 a a))) a))
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#s(literal -1 binary64)
(- (* (pow a 3) (pow x 3)) 1)
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(- (* (pow a 3) (pow x 3)) 1)
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(- (* (pow a 3) (pow x 3)) 1)
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* (pow a 3) (pow x 3))
(.f64 x (.f64 a (.f64 a (.f64 a (*.f64 x x)))))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* (pow a 3) (- (pow x 3) (/ 1 (pow a 3))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* (pow a 3) (pow x 3))
(.f64 x (.f64 a (.f64 a (.f64 a (*.f64 x x)))))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* -1 (* (pow a 3) (+ (* -1 (pow x 3)) (/ 1 (pow a 3)))))
(fma.f64 x (.f64 a (.f64 a (.f64 a (.f64 x x)))) #s(literal -1 binary64))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* a (pow x 2))
(.f64 a (.f64 x x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(fma.f64 a (.f64 x (fma.f64 (.f64 a #s(literal 1/8 binary64)) x #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(fma.f64 a (fma.f64 a (.f64 (.f64 x x) (fma.f64 (.f64 a #s(literal -1/16 binary64)) x #s(literal 1/8 binary64))) (.f64 x #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a (.f64 x x)))))
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a (.f64 x x))))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x))))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a (.f64 x x))))) (-.f64 (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x))) (/.f64 #s(literal 8 binary64) (.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 a (.f64 a a))))))) a)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a (.f64 x x)))))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 x (.f64 a (.f64 x x))))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 x x))))) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal -8 binary64) (.f64 a (.f64 x (.f64 x (.f64 x x)))))) (.f64 a a)) (/.f64 #s(literal -2 binary64) (.f64 a (*.f64 x x))))) a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 (* a x)))
(fma.f64 a (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(fma.f64 x (fma.f64 x (.f64 (.f64 a a) #s(literal 1/8 binary64)) (*.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(fma.f64 x (fma.f64 x (fma.f64 x (.f64 (.f64 a (.f64 a a)) #s(literal -1/16 binary64)) (.f64 (.f64 a a) #s(literal 1/8 binary64))) (.f64 a #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a (.f64 x x)))))
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a (.f64 x x))))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a x))))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a (.f64 x x))))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a x))))) (/.f64 #s(literal -8 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 a (.f64 a (.f64 a a)))))) x)
(/ 1 (* a x))
(/.f64 #s(literal 1 binary64) (*.f64 a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 a x)) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a (.f64 x x)))))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 a (.f64 a (.f64 a (.f64 x x))))) (/.f64 #s(literal -2 binary64) (.f64 a (.f64 a x))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (.f64 a a)) (+.f64 (/.f64 #s(literal 8 binary64) (.f64 x (.f64 x (.f64 a (.f64 a (.f64 a a)))))) (/.f64 #s(literal -4 binary64) (.f64 x (.f64 a (*.f64 a a)))))) x)) x)
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))
(* (pow a 2) x)
(.f64 a (.f64 a x))

eval326.0ms (3.4%)

Memory: 29.5MiB live, 451.9MiB allocated
Compiler: Compiled 71 663 to 4 408 computations (93.8% saved)

prune241.0ms (2.5%)

Memory

-14.2MiB live, 392.7MiB allocated

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	2 096	13	2 109
Fresh	7	6	13
Picked	2	3	5
Done	0	2	2
Total	2 105	24	2 129

Accuracy

100.0%

Counts

2 129 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(fma.f64 (fma.f64 x (.f64 x (.f64 a (.f64 a (.f64 a x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
	24.4%	(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
	67.3%	(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
▶	67.0%	(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
▶	67.8%	(/.f64 (.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64)))) (fma.f64 a x #s(literal 2 binary64)))
	26.5%	(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a x))
▶	72.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x))
	68.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
✓	22.6%	(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
▶	24.0%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
	66.7%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/8 binary64)) x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)))
	3.5%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
	67.3%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
	67.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) x)
	67.8%	(.f64 (.f64 a (fma.f64 a x #s(literal 2 binary64))) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))
	25.7%	(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
	22.3%	(.f64 (.f64 a (.f64 a (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
▶	67.9%	(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
	68.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	67.3%	(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
✓	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	22.1%	#s(literal 0 binary64)

Compiler

Compiled 667 to 376 computations (43.6% saved)

simplify546.0ms (5.7%)

Memory

10.8MiB live, 673.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 a x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a x)
✓	cost-diff	320	(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
✓	cost-diff	1792	(*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 a x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64))))
✓	cost-diff	1792	(/.f64 (.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64)))) (fma.f64 a x #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	cost-diff	320	(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	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	0	(/.f64 #s(literal 1 binary64) a)
✓	cost-diff	0	(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
✓	cost-diff	0	(/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x)
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x))

Rules

24 092×	`accelerator-lowering-fma.f32`
24 092×	`accelerator-lowering-fma.f64`
5 402×	`-lowering-.f32`
5 402×	`-lowering-.f64`
2 590×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	167
1	79	149
2	184	145
3	868	145
4	2606	145
5	3924	145
6	5908	145
0	8136	134

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (/ (+ (* x -1/2) (/ 1 a)) x))
1
(/ (+ (* x -1/2) (/ 1 a)) x)
(+ (* x -1/2) (/ 1 a))
x
-1/2
(/ 1 a)
a
(+ (+ (* a x) -1) 1)
(+ (* a x) -1)
a
x
-1
1
(+ (* x a) (+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1)))
x
a
(+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1))
-1
(+ (* a (* (* x (* a x)) 1/2)) 1)
(* (* x (* a x)) 1/2)
(* x (* a x))
(* a x)
1/2
1
(/ (* x (* a (+ (* a x) 2))) (+ (* a x) 2))
(* x (* a (+ (* a x) 2)))
x
(* a (+ (* a x) 2))
a
(+ (* a x) 2)
2
(* (* a x) (* (+ (* a x) 2) (/ 1 (+ (* a x) 2))))
(* a x)
a
x
(* (+ (* a x) 2) (/ 1 (+ (* a x) 2)))
(+ (* a x) 2)
2
(/ 1 (+ (* a x) 2))
1

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

localize159.0ms (1.7%)

Memory

12.7MiB live, 249.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
✓	accuracy	100.0%	(*.f64 a x)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	92.3%	(*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
✓	accuracy	100.0%	(fma.f64 a x #s(literal 2 binary64))
✓	accuracy	99.9%	(*.f64 a (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	97.4%	(.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64))))
✓	accuracy	81.9%	(/.f64 (.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64)))) (fma.f64 a x #s(literal 2 binary64)))
✓	accuracy	100.0%	(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓	accuracy	99.8%	(.f64 x (.f64 a x))
✓	accuracy	98.8%	(fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓	accuracy	74.3%	(+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 a x #s(literal -1 binary64))
✓	accuracy	55.3%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) a)
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))
✓	accuracy	99.7%	(/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x)
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x))

Samples

58.0ms	75×	2	valid
34.0ms	85×	1	valid
16.0ms	86×	0	valid
9.0ms	10×	4	valid

Compiler

Compiled 181 to 31 computations (82.9% saved)

Precisions

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

ival-mult: 26.0ms (35.2% of total)

ival-add: 18.0ms (24.4% of total)

ival-div: 16.0ms (21.7% of total)

adjust: 12.0ms (16.2% of total)

exact: 1.0ms (1.4% of total)

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

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

series30.0ms (0.3%)

Memory

-6.7MiB live, 29.9MiB allocated

Counts

19 → 444

Calls

Call 1

Inputs
#<alt (/ 1 (/ (+ (* x -1/2) (/ 1 a)) x))>
#<alt (/ (+ (* x -1/2) (/ 1 a)) x)>
#<alt (+ (* x -1/2) (/ 1 a))>
#<alt (/ 1 a)>
#<alt (+ (+ (* a x) -1) 1)>
#<alt (+ (* a x) -1)>
#<alt (+ (* x a) (+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1)))>
#<alt (+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1))>
#<alt (+ (* a (* (* x (* a x)) 1/2)) 1)>
#<alt (* (* x (* a x)) 1/2)>
#<alt (/ (* x (* a (+ (* a x) 2))) (+ (* a x) 2))>
#<alt (* x (* a (+ (* a x) 2)))>
#<alt (* a (+ (* a x) 2))>
#<alt (+ (* a x) 2)>
#<alt (* (+ (* a x) 2) (/ 1 (+ (* a x) 2)))>
#<alt (* (* a x) (* (+ (* a x) 2) (/ 1 (+ (* a x) 2))))>
#<alt (* a x)>
#<alt (* x (* a x))>
#<alt (/ 1 (+ (* a x) 2))>

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

Calls

111 calls:

Time	Variable		Point	Expression
12.0ms	a	@	0	(+ (* a x) -1)
6.0ms	a	@	0	(/ 1 (/ (+ (* x -1/2) (/ 1 a)) x))
0.0ms	x	@	inf	(/ 1 (/ (+ (* x -1/2) (/ 1 a)) x))
0.0ms	x	@	0	(/ (+ (* x -1/2) (/ 1 a)) x)
0.0ms	x	@	-inf	(/ (+ (* x -1/2) (/ 1 a)) x)

rewrite997.0ms (10.5%)

Memory

-30.5MiB live, 747.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 080×	`-lowering-.f32`
6 080×	`-lowering-.f64`
4 368×	`/-lowering-/.f32`
4 368×	`/-lowering-/.f64`
3 324×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	137
1	196	115
2	1533	115
0	8468	104

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 1 319

Calls

Call 1

Inputs
(/ 1 (/ (+ (* x -1/2) (/ 1 a)) x))
(/ (+ (* x -1/2) (/ 1 a)) x)
(+ (* x -1/2) (/ 1 a))
(/ 1 a)
(+ (+ (* a x) -1) 1)
(+ (* a x) -1)
(+ (* x a) (+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1)))
(+ -1 (+ (* a (* (* x (* a x)) 1/2)) 1))
(+ (* a (* (* x (* a x)) 1/2)) 1)
(* (* x (* a x)) 1/2)
(/ (* x (* a (+ (* a x) 2))) (+ (* a x) 2))
(* x (* a (+ (* a x) 2)))
(* a (+ (* a x) 2))
(+ (* a x) 2)
(* (+ (* a x) 2) (/ 1 (+ (* a x) 2)))
(* (* a x) (* (+ (* a x) 2) (/ 1 (+ (* a x) 2))))
(* a x)
(* x (* a x))
(/ 1 (+ (* a x) 2))

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

simplify404.0ms (4.2%)

Memory

4.1MiB live, 643.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 972×	`accelerator-lowering-fma.f32`
9 972×	`accelerator-lowering-fma.f64`
5 266×	`-lowering-.f32`
5 266×	`-lowering-.f64`
1 920×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	2936
1	952	2884
2	2300	2862
3	5813	2862
0	8421	2706

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 444

Calls

Call 1

Inputs
(* a x)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* x (- (* 1/4 (* (pow a 3) x)) (* -1/2 (pow a 2))))))
(* x (+ a (* x (- (* x (- (* 1/8 (* (pow a 4) x)) (* -1/4 (pow a 3)))) (* -1/2 (pow a 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow a 2))) (* 16 (/ 1 (* (pow a 3) x)))) (pow x 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 a)) (* 8 (/ 1 (* (pow a 2) x)))) x)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 a)) (+ (/ 8 (* (pow a 2) x)) (/ 16 (* (pow a 3) (pow x 2))))) x)) 2)
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* a (- (* 1/4 (* a (pow x 3))) (* -1/2 (pow x 2))))))
(* a (+ x (* a (- (* a (- (* 1/8 (* a (pow x 4))) (* -1/4 (pow x 3)))) (* -1/2 (pow x 2))))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 16 (/ 1 (* a (pow x 3))))) (pow a 2))) (+ 2 (/ 4 (* a x))))
-2
(* -1 (+ 2 (* 4 (/ 1 (* a x)))))
(- (* -1 (/ (+ (* 4 (/ 1 x)) (* 8 (/ 1 (* a (pow x 2))))) a)) 2)
(- (* -1 (/ (+ (* 4 (/ 1 x)) (+ (/ 8 (* a (pow x 2))) (/ 16 (* (pow a 2) (pow x 3))))) a)) 2)
(/ 1 (* a x))
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
(/ (+ (* -1/2 x) (/ 1 a)) x)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(/ 1 (* a x))
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
(/ (+ (* -1/2 a) (/ 1 x)) a)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
-1/2
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(- (/ 1 (* a x)) 1/2)
(/ 1 a)
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(* -1/2 x)
(* x (- (/ 1 (* a x)) 1/2))
(* x (- (/ 1 (* a x)) 1/2))
(* x (- (/ 1 (* a x)) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(* -1 (* x (- 1/2 (/ 1 (* a x)))))
(/ 1 a)
(/ (+ 1 (* -1/2 (* a x))) a)
(/ (+ 1 (* -1/2 (* a x))) a)
(/ (+ 1 (* -1/2 (* a x))) a)
(* -1/2 x)
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(* -1/2 x)
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(+ (* -1/2 x) (/ 1 a))
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(/ 1 a)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
-1
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* 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
(- (* a x) 1)
(- (* a x) 1)
(- (* a x) 1)
(* 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)
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* x (+ a (* 1/2 (* (pow a 2) x))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ a x)))
(* a x)
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* a (+ x (* 1/2 (* a (pow x 2)))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ x a)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
(* 1/2 (* (pow a 2) (pow x 2)))
1
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
(* (pow a 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow a 2))))
1
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow a 2) (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow a 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow a 2)) (/ 1 (pow x 2))))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* 1/2 (* a (pow x 2)))
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* a x)
(* 2 (* a x))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* x (+ (* 2 a) (* (pow a 2) x)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* (pow x 2) (+ (* 2 (/ a x)) (pow a 2)))
(* 2 (* a x))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* a (+ (* 2 x) (* a (pow x 2))))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (pow x 2))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* (pow a 2) (+ (* 2 (/ x a)) (pow x 2)))
(* 2 a)
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* a (+ 2 (* a x)))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) x)
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* (pow a 2) (+ x (* 2 (/ 1 a))))
(* 2 a)
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(+ (* 2 a) (* (pow a 2) x))
(* (pow a 2) x)
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* x (+ (* 2 (/ a x)) (pow a 2)))
(* (pow a 2) x)
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
(* -1 (* x (+ (* -2 (/ a x)) (* -1 (pow a 2)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a (+ x (* 2 (/ 1 a))))
(* a x)
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
(* -1 (* a (- (* -1 x) (* 2 (/ 1 a)))))
2
(+ 2 (* a x))
(+ 2 (* a x))
(+ 2 (* a x))
(* a x)
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* x (+ a (* 2 (/ 1 x))))
(* a x)
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
(* -1 (* x (- (* -1 a) (* 2 (/ 1 x)))))
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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)
(* 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 (* -1/4 (* a x)))
(+ 1/2 (* a (- (* 1/8 (* a (pow x 2))) (* 1/4 x))))
(+ 1/2 (* a (- (* a (- (* -1/16 (* a (pow x 3))) (* -1/8 (pow x 2)))) (* 1/4 x))))
(/ 1 (* a x))
(/ (- (/ 1 x) (* 2 (/ 1 (* a (pow x 2))))) a)
(/ (- (+ (/ 1 x) (/ 4 (* (pow a 2) (pow x 3)))) (/ 2 (* a (pow x 2)))) a)
(/ (- (+ (/ 1 x) (* 4 (/ 1 (* (pow a 2) (pow x 3))))) (+ (* 8 (/ 1 (* (pow a 3) (pow x 4)))) (/ 2 (* a (pow x 2))))) a)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* a (pow x 2)))) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* a (pow x 3)))) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* a (pow x 4)))) (* 4 (/ 1 (pow x 3)))) a)) (* 2 (/ 1 (pow x 2)))) a)) (/ 1 x)) a))
1/2
(+ 1/2 (* -1/4 (* a x)))
(+ 1/2 (* x (- (* 1/8 (* (pow a 2) x)) (* 1/4 a))))
(+ 1/2 (* x (- (* x (- (* -1/16 (* (pow a 3) x)) (* -1/8 (pow a 2)))) (* 1/4 a))))
(/ 1 (* a x))
(/ (- (/ 1 a) (* 2 (/ 1 (* (pow a 2) x)))) x)
(/ (- (+ (/ 1 a) (/ 4 (* (pow a 3) (pow x 2)))) (/ 2 (* (pow a 2) x))) x)
(/ (- (+ (/ 1 a) (* 4 (/ 1 (* (pow a 3) (pow x 2))))) (+ (* 8 (/ 1 (* (pow a 4) (pow x 3)))) (/ 2 (* (pow a 2) x)))) x)
(/ 1 (* a x))
(* -1 (/ (- (* 2 (/ 1 (* (pow a 2) x))) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 (* (pow a 3) x))) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow a 4) x))) (* 4 (/ 1 (pow a 3)))) x)) (* 2 (/ 1 (pow a 2)))) x)) (/ 1 a)) x))

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

eval462.0ms (4.9%)

Memory: 26.7MiB live, 607.0MiB allocated
Compiler: Compiled 52 747 to 4 023 computations (92.4% saved)

prune255.0ms (2.7%)

Memory

12.0MiB live, 586.2MiB allocated

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	2 291	13	2 304
Fresh	6	8	14
Picked	4	1	5
Done	1	4	5
Total	2 302	26	2 328

Accuracy

100.0%

Counts

2 328 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(fma.f64 (fma.f64 x (.f64 x (.f64 a (.f64 a (.f64 a x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
	24.4%	(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
	67.3%	(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
	72.8%	(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
	68.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a))
	71.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) a) x))
	50.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x #s(literal -1/2 binary64)))) x))
	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))))) x))
	50.4%	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))) x))
✓	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 a x))))
	45.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) x)))
✓	24.0%	(+.f64 (fma.f64 a x #s(literal -1 binary64)) #s(literal 1 binary64))
	4.4%	(+.f64 (*.f64 a x) #s(literal 1 binary64))
	7.1%	(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
	23.6%	(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) a)))
	47.6%	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
	73.0%	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) x)
	47.0%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))))
	66.7%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/8 binary64)) x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)))
	67.3%	(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
	68.6%	(.f64 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
	67.3%	(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
✓	68.1%	(*.f64 a x)
✓	100.0%	(expm1.f64 (*.f64 a x))
✓	22.1%	#s(literal 0 binary64)
	8.3%	#s(literal -2 binary64)

Compiler

Compiled 1 198 to 441 computations (63.2% saved)

regimes145.0ms (1.5%)

Memory

-24.4MiB live, 165.5MiB allocated

Counts

51 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a 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 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(.f64 (.f64 a (fma.f64 a x #s(literal 2 binary64))) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 (.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64)))) (fma.f64 a x #s(literal 2 binary64)))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (.f64 a (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) x)
(.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) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x))
(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/8 binary64)) x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (.f64 x (.f64 a x))))
(fma.f64 (fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #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))))
(fma.f64 (fma.f64 x (.f64 x (.f64 a (.f64 a (.f64 a x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x #s(literal -1/2 binary64)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))))) x))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) x)))
(expm1.f64 (*.f64 a 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))))

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

Calls

5 calls:

52.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
46.0ms	x
17.0ms	(*.f64 a x)
14.0ms	a
11.0ms	(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)

regimes72.0ms (0.8%)

Memory

22.3MiB live, 153.7MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a 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 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(.f64 (.f64 a (fma.f64 a x #s(literal 2 binary64))) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 (.f64 x (.f64 a (fma.f64 a x #s(literal 2 binary64)))) (fma.f64 a x #s(literal 2 binary64)))
(.f64 (.f64 a (.f64 x (.f64 a x))) (/.f64 #s(literal 1 binary64) (*.f64 a x)))
(.f64 (.f64 a (.f64 a (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (/.f64 #s(literal 1 binary64) (.f64 a x)))
(.f64 (.f64 a x) (*.f64 (fma.f64 a x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 2 binary64))) (*.f64 a (fma.f64 a x #s(literal 2 binary64)))) x)
(.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) (/.f64 (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)) x))
(-.f64 (fma.f64 (/.f64 (fma.f64 a x #s(literal 2 binary64)) x) (/.f64 (*.f64 a x) a) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x)) (fma.f64 a (.f64 x (fma.f64 (*.f64 a #s(literal 1/8 binary64)) x #s(literal -1/4 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 a (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) a) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (fma.f64 x (*.f64 a #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) a))
(/.f64 (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x)))) (.f64 a (.f64 x (.f64 a x))))
(fma.f64 (fma.f64 (.f64 x (.f64 a x)) (.f64 a (.f64 a x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a x) (fma.f64 a x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 (.f64 a x) (.f64 a (.f64 x (.f64 a x))))))
(.f64 (/.f64 x (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))
(/.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x) #s(literal 1 binary64)) #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))))
(fma.f64 (fma.f64 x (.f64 x (.f64 a (.f64 a (.f64 a x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 a (.f64 x (.f64 a x)) #s(literal 1 binary64)) (*.f64 a x))) #s(literal -1 binary64))
(.f64 (fma.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.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 (fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 (fma.f64 a x #s(literal 2 binary64)) (.f64 a x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 a x #s(literal 1 binary64)) x) a))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (fma.f64 a x #s(literal 1 binary64)) (fma.f64 a (.f64 x (.f64 a x)) #s(literal -1 binary64))) (/.f64 (fma.f64 a x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 a a)) (.f64 #s(literal 1/4 binary64) (.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) a) (.f64 x #s(literal -1/2 binary64)))) x))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a)) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))))) x))
(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 a a))))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 x #s(literal -1/2 binary64))) a)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 a a))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) a))) x)))

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

Calls

5 calls:

18.0ms	a
14.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
13.0ms	x
12.0ms	(exp.f64 (*.f64 a x))
12.0ms	(*.f64 a x)

Results

Accuracy	Segments	Branch
73.0%	1	`a`
73.0%	1	`x`
73.0%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
73.0%	1	`(exp.f64 (*.f64 a x))`
73.0%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes132.0ms (1.4%)

Memory

-28.0MiB live, 47.8MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(+.f64 (fma.f64 a (.f64 a (.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (fma.f64 a x #s(literal -1 binary64)))
(fma.f64 x a (+.f64 #s(literal -1 binary64) (fma.f64 a (.f64 (.f64 x (*.f64 a x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 a (.f64 x (.f64 a x))) (.f64 a 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 x (fma.f64 (.f64 a (.f64 a x)) (fma.f64 a (.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) a))
(.f64 (.f64 a (fma.f64 a x #s(literal 2 binary64))) (/.f64 x (fma.f64 a x #s(literal 2 binary64))))

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

Calls

5 calls:

58.0ms	x
57.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))
6.0ms	a
5.0ms	(*.f64 a x)
5.0ms	(exp.f64 (*.f64 a x))

Results

Accuracy	Segments	Branch
72.8%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.8%	1	`(exp.f64 (*.f64 a x))`
72.8%	1	`(*.f64 a x)`
72.8%	1	`a`
72.8%	1	`x`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes19.0ms (0.2%)

Memory

35.2MiB live, 35.2MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))
(.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x))
(.f64 (.f64 (fma.f64 a x #s(literal 2 binary64)) (*.f64 a x)) #s(literal 1/2 binary64))
(fma.f64 (.f64 a (.f64 x #s(literal 1/2 binary64))) (.f64 a x) (.f64 a x))

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
68.1%	1	`x`
73.1%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
73.1%	2	`(exp.f64 (*.f64 a x))`
73.1%	2	`(*.f64 a x)`
68.1%	1	`a`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes13.0ms (0.1%)

Memory

-21.3MiB live, 18.1MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(*.f64 a x)
(+.f64 (*.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)) #s(literal 1 binary64))
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(.f64 a (fma.f64 a (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x))

Outputs
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (*.f64 a x)))
(*.f64 a x)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
72.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.5%	2	`(exp.f64 (*.f64 a x))`
72.5%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes8.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(*.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
72.5%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
72.5%	2	`(exp.f64 (*.f64 a x))`
72.5%	2	`(*.f64 a x)`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes25.0ms (0.3%)

Memory

-18.0MiB live, 21.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -2 binary64)
#s(literal 0 binary64)
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Outputs
#s(literal -2 binary64)
#s(literal 0 binary64)

Calls

5 calls:

17.0ms	(exp.f64 (*.f64 a x))
2.0ms	a
2.0ms	x
2.0ms	(*.f64 a x)
1.0ms	(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
26.0%	2	`x`
26.5%	2	`a`
27.2%	2	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
27.2%	2	`(exp.f64 (*.f64 a x))`
27.5%	2	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes6.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -2 binary64)

Outputs
#s(literal -2 binary64)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
8.3%	1	`x`
8.3%	1	`a`
8.3%	1	`(-.f64 (exp.f64 (*.f64 a x)) #s(literal 1 binary64))`
8.3%	1	`(exp.f64 (*.f64 a x))`
8.3%	1	`(*.f64 a x)`

Compiler

Compiled 25 to 17 computations (32% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.6598951515022904	-9.403291097244559e-5

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2.6598951515022904	-9.403291097244559e-5

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	-2.6598951515022904	-9.403291097244559e-5

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch14.0ms (0.1%)

Memory

-12.1MiB live, 25.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-1.1072583596611745e-141	-8.938687452636634e-171

Samples

7.0ms

176×

valid

Compiler

Compiled 99 to 97 computations (2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-expm1: 3.0ms (83.3% of total)

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

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

simplify11.0ms (0.1%)

Memory

-18.7MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	80
1	36	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(expm1.f64 (*.f64 a x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) x)
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x)))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)

Outputs
(expm1.f64 (*.f64 a x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a))))
(/.f64 x (fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) a)))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (fma.f64 (.f64 (*.f64 x #s(literal 1/2 binary64)) a) x x)))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (.f64 a (fma.f64 (.f64 a (*.f64 x #s(literal 1/2 binary64))) x x)))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -4 binary64) (.f64 a x))) (*.f64 a x))
(if (<=.f64 (.f64 a x) #s(literal -2 binary64)) #s(literal -2 binary64) (.f64 a x))
(if (<=.f64 (*.f64 a x) #s(literal -2264377454892925/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(literal -2 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)

soundness1.4s (14.2%)

Memory

14.5MiB live, 953.9MiB allocated

Rules

11 076×	`accelerator-lowering-fma.f32`
11 076×	`accelerator-lowering-fma.f64`
9 972×	`accelerator-lowering-fma.f32`
9 972×	`accelerator-lowering-fma.f64`
9 428×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	2936
1	952	2884
2	2300	2862
3	5813	2862
0	8421	2706
0	6	13
1	27	13
2	149	13
0	1340	11
0	29	137
1	196	115
2	1533	115
0	8468	104
0	359	2846
1	1226	2832
2	3762	2776
3	7850	2776
0	8556	2554
0	16	46
1	85	46
2	654	46
0	8898	41
0	63	432
1	195	432
2	526	424
3	1050	424
4	1650	424
5	1848	424
6	1875	424
7	1895	424
8	1909	424
9	1912	424
10	1912	424
11	2607	420
12	3082	420
13	4049	420
14	4050	420
15	4050	420
16	4178	420
17	4178	420
18	6095	416
19	6319	416
20	6361	416
21	6375	416
22	6375	416
23	6551	416
24	6889	416
25	6889	416
26	7463	416
0	7463	360

Stop Event

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

Compiler

Compiled 333 to 202 computations (39.3% saved)

preprocess91.0ms (1%)

Memory: -35.6MiB live, 177.7MiB allocated
Remove: (sort a x)
Compiler: Compiled 216 to 92 computations (57.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
1	14	6
2	17	6
0	17	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
1	14	6
2	17	6
0	17	4

analyze19.0ms (0.2%)

sample614.0ms (6.5%)

preprocess15.0ms (0.2%)

explain69.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.2%)

series4.0ms (0%)

rewrite313.0ms (3.3%)

simplify312.0ms (3.3%)

eval19.0ms (0.2%)

prune20.0ms (0.2%)

simplify320.0ms (3.4%)

localize66.0ms (0.7%)

series10.0ms (0.1%)

rewrite364.0ms (3.8%)

simplify455.0ms (4.8%)

eval209.0ms (2.2%)

prune141.0ms (1.5%)

simplify295.0ms (3.1%)

localize160.0ms (1.7%)

series38.0ms (0.4%)

rewrite371.0ms (3.9%)

simplify365.0ms (3.8%)

eval326.0ms (3.4%)

prune241.0ms (2.5%)

simplify546.0ms (5.7%)

localize159.0ms (1.7%)

series30.0ms (0.3%)

rewrite997.0ms (10.5%)

simplify404.0ms (4.2%)

eval462.0ms (4.9%)

prune255.0ms (2.7%)

regimes145.0ms (1.5%)

regimes72.0ms (0.8%)

regimes132.0ms (1.4%)

regimes19.0ms (0.2%)

regimes13.0ms (0.1%)

regimes8.0ms (0.1%)

regimes25.0ms (0.3%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.1%)

simplify11.0ms (0.1%)

soundness1.4s (14.2%)

preprocess91.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	36
1	42	36
2	73	34
3	108	34
4	141	34
5	165	34
6	204	34
7	226	34
8	240	34
9	251	34
10	252	34
0	6	6
1	14	6
2	17	6
0	17	4