Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 12 to 12 computations (0% saved)

sample1.6s (16.7%)

Memory

29.2MiB live, 2 194.3MiB allocated

Samples

444.0ms	1 365×	2	valid
355.0ms	2 478×	1	valid
278.0ms	4 186×	0	valid
158.0ms	227×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 957.0ms

ival-exp: 461.0ms (48.2% of total)

ival-div: 114.0ms (11.9% of total)

adjust: 110.0ms (11.5% of total)

ival-mult: 86.0ms (9% of total)

ival-sub: 83.0ms (8.7% of total)

ival-add: 77.0ms (8% of total)

exact: 16.0ms (1.7% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess29.0ms (0.3%)

Memory

-4.3MiB live, 32.2MiB allocated

Algorithm

1×	egg-herbie

Rules

96×	`sub-neg`
56×	`exp-prod`
56×	`+-commutative`
32×	`associate-+l-`
32×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
1	18	10
2	21	10
0	21	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs y)

explain191.0ms (2%)

Memory

2.9MiB live, 283.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
129	-	-	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
0	-	-	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 #s(literal -2 binary64) x)`
0	-	-	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
0	-	-	`#s(literal -2 binary64)`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`	cancellation	129	0

Confusion

	Predicted +	Predicted -
+	129	0
-	0	127

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	0	0
-	0	0	127

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	127
1	129

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	92×	2	valid
37.0ms	152×	1	valid
17.0ms	258×	0	valid
4.0ms	10×	3	valid

Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-exp: 40.0ms (46.4% of total)

ival-mult: 25.0ms (29% of total)

ival-div: 6.0ms (7% of total)

adjust: 5.0ms (5.8% of total)

ival-sub: 4.0ms (4.6% of total)

ival-add: 4.0ms (4.6% of total)

exact: 1.0ms (1.2% of total)

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

ival-true: 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

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`+-lowering-+.f32`
6×	`exp-lowering-exp.f32`
6×	`exp-lowering-exp.f64`
4×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	18	35
2	21	35
0	21	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize50.0ms (0.5%)

Memory

7.3MiB live, 85.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

14.0ms	46×	2	valid
12.0ms	76×	1	valid
8.0ms	129×	0	valid
4.0ms	5×	3	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 13.0ms (48.6% of total)

ival-div: 3.0ms (11.2% of total)

ival-mult: 3.0ms (11.2% of total)

adjust: 2.0ms (7.5% of total)

ival-sub: 2.0ms (7.5% of total)

ival-add: 2.0ms (7.5% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>

Calls

12 calls:

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

rewrite264.0ms (2.8%)

Memory

-16.8MiB live, 451.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 790×	`accelerator-lowering-fma.f32`
3 790×	`accelerator-lowering-fma.f64`
3 628×	`-lowering-.f32`
3 628×	`-lowering-.f64`
2 806×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	48	28
2	366	28
3	5971	28
0	8137	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 282

Calls

Call 1

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

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

simplify386.0ms (4.1%)

Memory

6.7MiB live, 456.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 342×	`accelerator-lowering-fma.f32`
15 342×	`accelerator-lowering-fma.f64`
3 260×	`-lowering-.f32`
3 260×	`-lowering-.f64`
1 930×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
(- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
(/ 2 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(-.f64 #s(literal 1 binary64) (+.f64 x x))
(+ 1 (* x (- (* 2 x) 2)))
(fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))
(exp (* -2 x))
(exp.f64 (-.f64 (neg.f64 x) x))

eval74.0ms (0.8%)

Memory: -7.3MiB live, 70.3MiB allocated
Compiler: Compiled 7 804 to 984 computations (87.4% saved)

prune110.0ms (1.2%)

Memory

9.6MiB live, 87.1MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	318	12	330
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	318	13	331

Accuracy

100.0%

Counts

331 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.9%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
▶	52.3%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
▶	50.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	4.3%	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	29.6%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
	28.9%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	27.7%	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶	53.1%	x

Compiler

Compiled 298 to 204 computations (31.5% saved)

simplify768.0ms (8.2%)

Memory

-7.4MiB live, 311.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	256	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	cost-diff	192	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Rules

11 460×	`accelerator-lowering-fma.f32`
11 460×	`accelerator-lowering-fma.f64`
3 476×	`-lowering-.f32`
3 476×	`-lowering-.f64`
3 042×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	50	76
2	99	76
3	273	76
4	806	76
5	1774	76
6	4423	76
7	6280	76
8	7523	76
0	8095	69

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
x
(- 1 1)
1
(+ (* -1/3 (* x (* x x))) x)
-1/3
(* x (* x x))
x
(* x x)
(- (+ (* x (+ (* -1/3 (* x x)) 1)) 1) 1)
(+ (* x (+ (* -1/3 (* x x)) 1)) 1)
x
(+ (* -1/3 (* x x)) 1)
-1/3
(* x x)
1
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(+ (* (* x x) 2/15) -1/3)
(* x x)
x
2/15
-1/3
(* x (* x x))

Outputs
x
(- 1 1)
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ (* -1/3 (* x (* x x))) x)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
(- (+ (* x (+ (* -1/3 (* x x)) 1)) 1) 1)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(+ (* x (+ (* -1/3 (* x x)) 1)) 1)
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(+ (* -1/3 (* x x)) 1)
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) x)
(+ (* (* x x) 2/15) -1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))

localize103.0ms (1.1%)

Memory

29.8MiB live, 108.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.8%	(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
✓	accuracy	53.4%	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Samples

21.0ms	76×	1	valid
18.0ms	51×	2	valid
18.0ms	129×	0	valid

Compiler

Compiled 87 to 21 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 13.0ms (31.8% of total)

ival-add: 8.0ms (19.6% of total)

const: 8.0ms (19.6% of total)

adjust: 6.0ms (14.7% of total)

ival-sub: 4.0ms (9.8% of total)

exact: 0.0ms (0% of total)

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

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

series46.0ms (0.5%)

Memory

-24.6MiB live, 14.3MiB allocated

Counts

9 → 96

Calls

Call 1

Inputs
#<alt (- 1 1)>
#<alt (+ (* -1/3 (* x (* x x))) x)>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (- (+ (* x (+ (* -1/3 (* x x)) 1)) 1) 1)>
#<alt (+ (* x (+ (* -1/3 (* x x)) 1)) 1)>
#<alt (+ (* -1/3 (* x x)) 1)>
#<alt (+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) 2/15) -1/3)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (* -1/3 (* x (* x x))) x)
1.0ms	x	@	inf	(+ (* -1/3 (* x (* x x))) x)
0.0ms	x	@	-inf	(- (+ (* x (+ (* -1/3 (* x x)) 1)) 1) 1)
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)

rewrite496.0ms (5.3%)

Memory

-6.9MiB live, 958.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 092×	`accelerator-lowering-fma.f32`
15 092×	`accelerator-lowering-fma.f64`
5 214×	`-lowering-.f32`
5 214×	`-lowering-.f64`
3 154×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	59
1	118	57
2	994	57
0	8980	50

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 783

Calls

Call 1

Inputs
(- 1 1)
(+ (* -1/3 (* x (* x x))) x)
(* x (* x x))
(* x x)
(- (+ (* x (+ (* -1/3 (* x x)) 1)) 1) 1)
(+ (* x (+ (* -1/3 (* x x)) 1)) 1)
(+ (* -1/3 (* x x)) 1)
(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
(+ (* (* x x) 2/15) -1/3)

Outputs
#s(literal 0 binary64)
(+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x))
(+.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
(+.f64 x (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))))
(+.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(+.f64 x (-.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) x)
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) (-.f64 x #s(literal 0 binary64)))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) (+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))) (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 0 binary64))
(+.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) x)
(+.f64 (+.f64 #s(literal 0 binary64) x) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))
(+.f64 (+.f64 #s(literal 0 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))) x)
(+.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x))))) x)
(-.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 0 binary64))
(-.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)))) (-.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 1/9 binary64) (.f64 x (.f64 x x)))) (.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal -1 binary64)))) (+.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal -1 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 (.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 2/45 binary64)))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) #s(literal -2/45 binary64))))))
(.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal 1/3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 8/3375 binary64)) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal 1/9 binary64)) (.f64 (*.f64 x x) #s(literal 2/45 binary64))))))
(.f64 (neg.f64 (fma.f64 x (.f64 (.f64 (.f64 x x) #s(literal 4/225 binary64)) x) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -2/15 binary64) #s(literal -1/3 binary64))))
(.f64 (+.f64 #s(literal 1/9 binary64) (.f64 #s(literal -4/225 binary64) (.f64 (.f64 x (.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) (.f64 (*.f64 x x) #s(literal 2/15 binary64)))))

simplify182.0ms (1.9%)

Memory

3.0MiB live, 399.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6 040×	`accelerator-lowering-fma.f32`
6 040×	`accelerator-lowering-fma.f64`
3 570×	`-lowering-.f32`
3 570×	`-lowering-.f64`
1 142×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	642
1	147	584
2	465	584
3	1554	584
4	5735	584
0	8187	535

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.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)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* (pow x 3) (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1/3))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1/3 (pow x 3))
(.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(* -1 (* (pow x 3) (+ 1/3 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))))))
(fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 x (.f64 x (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 2/15 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x (*.f64 x x)) x))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 x (.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))

eval168.0ms (1.8%)

Memory: 15.3MiB live, 289.7MiB allocated
Compiler: Compiled 29 372 to 1 439 computations (95.1% saved)

prune98.0ms (1%)

Memory

16.8MiB live, 213.7MiB allocated

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	960	1	961
Fresh	0	7	7
Picked	1	4	5
Done	0	1	1
Total	961	13	974

Accuracy

100.0%

Counts

974 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	52.3%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
	26.9%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
✓	50.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	4.3%	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶	29.6%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
	29.5%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶	28.9%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	27.7%	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
✓	53.1%	x
▶	4.3%	#s(literal 0 binary64)

Compiler

Compiled 253 to 178 computations (29.6% saved)

simplify343.0ms (3.6%)

Memory

-26.4MiB live, 427.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(expm1.f64 (*.f64 x #s(literal -4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
✓	cost-diff	128	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)

Rules

12 606×	`accelerator-lowering-fma.f32`
12 606×	`accelerator-lowering-fma.f64`
3 738×	`-lowering-.f32`
3 738×	`-lowering-.f64`
2 192×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	204
1	99	204
2	230	204
3	509	204
4	1231	204
5	2218	200
6	5521	200
0	8193	166

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(* x x)
x
(+ (* (* x x) -17/315) 2/15)
-17/315
2/15
-1/3
(* x (* x x))
0
(- (/ 2 (- 2 (+ x x))) 1)
(/ 2 (- 2 (+ x x)))
2
(- 2 (+ x x))
(+ x x)
x
1
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
2
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
x
(+ (* x (+ (* x -4/3) 2)) -2)
(+ (* x -4/3) 2)
-4/3
-2
1
(- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)
(* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1))
(/ 2 (- (exp (* x -4)) 1))
2
(- (exp (* x -4)) 1)
(* x -4)
x
-4
(- (exp (* -2 x)) 1)
(* -2 x)
-2
1

Outputs
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(* x x)
(*.f64 x x)
x
(+ (* (* x x) -17/315) 2/15)
(fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))
-17/315
#s(literal -17/315 binary64)
2/15
#s(literal 2/15 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
0
#s(literal 0 binary64)
(- (/ 2 (- 2 (+ x x))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/ 2 (- 2 (+ x x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(- 2 (+ x x))
(-.f64 #s(literal 2 binary64) (+.f64 x x))
(+ x x)
(+.f64 x x)
x
1
#s(literal 1 binary64)
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(+.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(+ (* x (+ (* x -4/3) 2)) -2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(+ (* x -4/3) 2)
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
-4/3
#s(literal -4/3 binary64)
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)
(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (-.f64 (neg.f64 x) x))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* x -4)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
2
#s(literal 2 binary64)
(- (exp (* x -4)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(* x -4)
(*.f64 x #s(literal -4 binary64))
x
-4
#s(literal -4 binary64)
(- (exp (* -2 x)) 1)
(expm1.f64 (-.f64 (neg.f64 x) x))
(* -2 x)
(-.f64 (neg.f64 x) x)
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)

localize216.0ms (2.3%)

Memory

-14.6MiB live, 221.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(expm1.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
✓	accuracy	99.1%	(.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	53.4%	(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)))
✓	accuracy	99.8%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
✓	accuracy	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	accuracy	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

74.0ms	46×	2	valid
51.0ms	76×	1	valid
18.0ms	66×	0	valid
16.0ms	63×	0	exit
5.0ms	5×	3	valid

Compiler

Compiled 178 to 40 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-expm1: 58.0ms (41.5% of total)

ival-mult: 23.0ms (16.5% of total)

const: 15.0ms (10.7% of total)

ival-add: 14.0ms (10% of total)

adjust: 12.0ms (8.6% of total)

ival-div: 9.0ms (6.4% of total)

ival-sub: 8.0ms (5.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series15.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)>
#<alt (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)>
#<alt (* x x)>
#<alt (+ (* (* x x) -17/315) 2/15)>
#<alt (/ 2 (- 2 (+ x x)))>
#<alt (- (/ 2 (- 2 (+ x x))) 1)>
#<alt (- 2 (+ x x))>
#<alt (+ x x)>
#<alt (- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)>
#<alt (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))>
#<alt (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)>
#<alt (+ (* x (+ (* x -4/3) 2)) -2)>
#<alt (- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)>
#<alt (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1))>
#<alt (/ 2 (- (exp (* x -4)) 1))>
#<alt (- (exp (* x -4)) 1)>
#<alt (* x (* x x))>
#<alt (+ (* x -4/3) 2)>
#<alt (- (exp (* -2 x)) 1)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* x (- (* 2 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 2 (/ 1 x)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))>
#<alt -2>
#<alt (- (* 2 x) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (- (* x (+ 2 (* -4/3 x))) 2)>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* -1 x) 1/2) x)>
#<alt (/ (- (* x (- (* -2/3 x) 1)) 1/2) x)>
#<alt (/ (- (* x (- (* x (- (* 8/45 (pow x 2)) 2/3)) 1)) 1/2) x)>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (/ 2 (- (exp (* -4 x)) 1))>
#<alt (* -4 x)>
#<alt (* x (- (* 8 x) 4))>
#<alt (* x (- (* x (+ 8 (* -32/3 x))) 4))>
#<alt (* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 2>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (+ 2 (* -4/3 x))>
#<alt (* -4/3 x)>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* x (- (* 2 (/ 1 x)) 4/3))>
#<alt (* -4/3 x)>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>

Calls

57 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/ 2 (- (exp (* x -4)) 1))
2.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
1.0ms	x	@	inf	(- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)
1.0ms	x	@	-inf	(- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)
0.0ms	x	@	inf	(/ 2 (- (exp (* x -4)) 1))

rewrite164.0ms (1.7%)

Memory

26.9MiB live, 182.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 592×	`accelerator-lowering-fma.f32`
1 592×	`accelerator-lowering-fma.f64`
1 160×	`-lowering-.f32`
1 160×	`-lowering-.f64`
900×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	180
1	262	166
0	2557	138

Stop Event

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

Counts

19 → 444

Calls

Call 1

Inputs
(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
(* x x)
(+ (* (* x x) -17/315) 2/15)
(/ 2 (- 2 (+ x x)))
(- (/ 2 (- 2 (+ x x))) 1)
(- 2 (+ x x))
(+ x x)
(- (/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)) 1)
(/ 2 (+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2))
(+ (* x (+ (* x (+ (* x -4/3) 2)) -2)) 2)
(+ (* x (+ (* x -4/3) 2)) -2)
(- (* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1)) 1)
(* (/ 2 (- (exp (* x -4)) 1)) (- (exp (* -2 x)) 1))
(/ 2 (- (exp (* x -4)) 1))
(- (exp (* x -4)) 1)
(* x (* x x))
(+ (* x -4/3) 2)
(- (exp (* -2 x)) 1)

Outputs
(+.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))
(+.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) x)
(-.f64 (/.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x)
(fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) x)
(fma.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) (.f64 x x) x)
(fma.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x x)) x x)
(fma.f64 (.f64 (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) x x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))) (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)) (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 x (.f64 x x))) (fma.f64 x x (-.f64 (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (*.f64 x x)) x)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x)))) (neg.f64 (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))) (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))))) (.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)))))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))) x) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) (neg.f64 x))))
(+.f64 (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)))))
(+.f64 (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -17/315 binary64)))) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(+.f64 (+.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -17/315 binary64))))) (.f64 (.f64 x x) #s(literal 2/15 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))))) (fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))) #s(literal -1/3 binary64))
(fma.f64 x (.f64 x (.f64 (.f64 x x) #s(literal -17/315 binary64))) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(fma.f64 x (.f64 (.f64 x #s(literal -17/315 binary64)) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal -17/315 binary64)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
(fma.f64 #s(literal -17/315 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (.f64 (.f64 x x) #s(literal -17/315 binary64)) (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(fma.f64 (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) (.f64 x x) #s(literal -1/3 binary64))
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(expm1.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))
(+.f64 (*.f64 x #s(literal -4/3 binary64)) #s(literal 2 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal -4/3 binary64) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 x #s(literal -8/3 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 x #s(literal -8/3 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 16/9 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (.f64 x #s(literal -8/3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (.f64 (.f64 x x) #s(literal 16/9 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -64/27 binary64) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 16/9 binary64) #s(literal 4 binary64)) (*.f64 x #s(literal -8/3 binary64)))))
(.f64 (fma.f64 (.f64 x x) #s(literal 16/9 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64))))
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (exp.f64 (+.f64 x x)) (exp.f64 (+.f64 x x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (+.f64 x x)) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(expm1.f64 (+.f64 x x))
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 #s(literal -2 binary64))) x))
(expm1.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -4 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 3 binary64)))
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64)))
(expm1.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (fma.f64 x #s(literal -4 binary64) (*.f64 x #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) (expm1.f64 (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))))
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (expm1.f64 (+.f64 x x)))

simplify358.0ms (3.8%)

Memory

-37.3MiB live, 446.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 870×	`accelerator-lowering-fma.f32`
8 870×	`accelerator-lowering-fma.f64`
4 192×	`-lowering-.f32`
4 192×	`-lowering-.f64`
2 174×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	256	1846
1	690	1784
2	1877	1763
3	5989	1752
0	8254	1527

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(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)
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
2
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(+ 2 (* -2 x))
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* x (- (* 2 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
-2
(- (* 2 x) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(- (* x (+ 2 (* -4/3 x))) 2)
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/ -1/2 x)
(/ (- (* -1 x) 1/2) x)
(/ (- (* x (- (* -2/3 x) 1)) 1/2) x)
(/ (- (* x (- (* x (- (* 8/45 (pow x 2)) 2/3)) 1)) 1/2) x)
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(/ 2 (- (exp (* -4 x)) 1))
(* -4 x)
(* x (- (* 8 x) 4))
(* x (- (* x (+ 8 (* -32/3 x))) 4))
(* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
2
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(+ 2 (* -4/3 x))
(* -4/3 x)
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* x (- (* 2 (/ 1 x)) 4/3))
(* -4/3 x)
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (-.f64 (/.f64 #s(literal 2/15 binary64) (.f64 x x)) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 x (.f64 x (*.f64 x x)))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (.f64 x x))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
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(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1)))
(/.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -2 binary64)))) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 x) 1/2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (- (* -2/3 x) 1)) 1/2) x)
(+.f64 (fma.f64 x #s(literal -2/3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* x (- (* x (- (* 8/45 (pow x 2)) 2/3)) 1)) 1/2) x)
(+.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 8/45 binary64)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(/ 2 (- (exp (* -4 x)) 1))
(/.f64 #s(literal 2 binary64) (expm1.f64 (*.f64 x #s(literal -4 binary64))))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 8 x) 4))
(*.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64)))
(* x (- (* x (+ 8 (* -32/3 x))) 4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -32/3 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)))
(* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 32/3 binary64) #s(literal -32/3 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(+ 2 (* -4/3 x))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 4/3))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -1 (* x (- 4/3 (* 2 (/ 1 x)))))
(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 x) 2))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -4/3 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))

eval91.0ms (1%)

Memory: 33.2MiB live, 186.7MiB allocated
Compiler: Compiled 14 265 to 1 752 computations (87.7% saved)

prune105.0ms (1.1%)

Memory

-38.5MiB live, 172.7MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	698	6	704
Fresh	2	1	3
Picked	3	2	5
Done	0	5	5
Total	703	14	717

Accuracy

100.0%

Counts

717 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	52.3%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	26.8%	(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
▶	28.0%	(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
✓	50.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	4.3%	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
	27.0%	(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
	25.9%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	26.9%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	53.1%	x
✓	4.3%	#s(literal 0 binary64)
▶	27.6%	#s(literal -1 binary64)

Compiler

Compiled 270 to 173 computations (35.9% saved)

simplify370.0ms (3.9%)

Memory

48.2MiB live, 512.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (+.f64 x x) #s(literal 4 binary64))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	cost-diff	384	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	512	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(+.f64 (+.f64 x x) #s(literal 4 binary64))
✓	cost-diff	192	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	cost-diff	768	(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	384	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(expm1.f64 (*.f64 x #s(literal -2 binary64)))
✓	cost-diff	0	(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))

Rules

13 316×	`accelerator-lowering-fma.f32`
13 316×	`accelerator-lowering-fma.f64`
3 662×	`+-lowering-+.f64`
3 662×	`+-lowering-+.f32`
2 498×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	151
1	63	151
2	141	145
3	453	127
4	1967	121
5	5062	121
0	8240	104

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* 2 (/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))) -1)
2
(/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))
(- (exp (* x -2)) 1)
(* x -2)
x
-2
(- (exp (* x -4)) 1)
(* x -4)
-4
-1
-1
(- (+ x 1) 1)
(+ x 1)
x
1
(+ (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) -1)
(/ 2 (+ (+ x x) 4))
2
(+ (+ x x) 4)
(+ x x)
x
4
(+ 2 (+ x x))
-1
(- (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) 1)
(* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x)))
(/ 2 (+ (+ x x) 4))
2
(+ (+ x x) 4)
(+ x x)
x
4
(+ 2 (+ x x))
1

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

localize168.0ms (1.8%)

Memory

-33.8MiB live, 330.4MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	accuracy	99.5%	(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)))
✓	accuracy	53.4%	(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (+.f64 x x))
✓	accuracy	99.7%	(/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	accuracy	52.8%	(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	53.4%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	100.0%	(expm1.f64 (*.f64 x #s(literal -2 binary64)))
✓	accuracy	100.0%	(expm1.f64 (*.f64 x #s(literal -4 binary64)))
✓	accuracy	99.2%	(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
✓	accuracy	53.4%	(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))

Samples

63.0ms	46×	2	valid
41.0ms	76×	1	valid
10.0ms	66×	0	valid
9.0ms	63×	0	exit
3.0ms	4×	4	valid
1.0ms	1×	3	valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-expm1: 57.0ms (57.3% of total)

ival-add: 11.0ms (11% of total)

ival-mult: 11.0ms (11% of total)

adjust: 8.0ms (8% of total)

ival-div: 7.0ms (7% of total)

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

exact: 1.0ms (1% of total)

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

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

series5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (+ (* 2 (/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))) -1)>
#<alt (/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))>
#<alt (- (exp (* x -2)) 1)>
#<alt (* x -2)>
#<alt (- (+ x 1) 1)>
#<alt (+ x 1)>
#<alt (+ (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) -1)>
#<alt (/ 2 (+ (+ x x) 4))>
#<alt (+ (+ x x) 4)>
#<alt (+ x x)>
#<alt (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x)))>
#<alt (- (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) 1)>
#<alt (- (exp (* x -4)) 1)>
#<alt (+ 2 (+ x x))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt (- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 x))>
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))>
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (- (exp (* -2 x)) 1)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/4 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 x))>
#<alt (+ 1/2 (* x (- (* 1/8 x) 1/4)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))>
#<alt 4>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (+ 4 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* x (+ 2 (* 4 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 x))>
#<alt (+ 1 (* x (+ 1/2 (* -1/4 x))))>
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/8 x) 1/4)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/4 x)))>
#<alt (* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))>
#<alt (* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))>
#<alt (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))>
#<alt (* -4 x)>
#<alt (* x (- (* 8 x) 4))>
#<alt (* x (- (* x (+ 8 (* -32/3 x))) 4))>
#<alt (* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt (- (exp (* -4 x)) 1)>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>

Calls

42 calls:

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

rewrite152.0ms (1.6%)

Memory

5.9MiB live, 194.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 294×	`accelerator-lowering-fma.f32`
1 294×	`accelerator-lowering-fma.f64`
792×	`/-lowering-/.f32`
792×	`/-lowering-/.f64`
776×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	114
1	179	94
0	1808	81

Stop Event

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

Counts

14 → 431

Calls

Call 1

Inputs
(+ (* 2 (/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))) -1)
(/ (- (exp (* x -2)) 1) (- (exp (* x -4)) 1))
(- (exp (* x -2)) 1)
(* x -2)
(- (+ x 1) 1)
(+ x 1)
(+ (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) -1)
(/ 2 (+ (+ x x) 4))
(+ (+ x x) 4)
(+ x x)
(* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x)))
(- (* (/ 2 (+ (+ x x) 4)) (+ 2 (+ x x))) 1)
(- (exp (* x -4)) 1)
(+ 2 (+ x x))

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

simplify400.0ms (4.3%)

Memory

25.5MiB live, 650.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 054×	`accelerator-lowering-fma.f32`
13 054×	`accelerator-lowering-fma.f64`
3 344×	`-lowering-.f32`
3 344×	`-lowering-.f64`
2 758×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1122
1	482	1084
2	1025	1068
3	2563	1068
4	5830	1068
5	7868	1068
0	8243	898

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
1/2
(+ 1/2 (* 1/2 x))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(- (exp (* -2 x)) 1)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
x
x
x
x
x
x
x
x
x
x
x
x
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/4 x)))
(* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))
(* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
1/2
(+ 1/2 (* -1/4 x))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(/ 1 x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/ 1 x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
4
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(+ 4 (* 2 x))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* x (+ 2 (* 4 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1
(+ 1 (* 1/2 x))
(+ 1 (* x (+ 1/2 (* -1/4 x))))
(+ 1 (* x (+ 1/2 (* x (- (* 1/8 x) 1/4)))))
2
(- 2 (* 2 (/ 1 x)))
(- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
2
(- 2 (* 2 (/ 1 x)))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(* 1/2 x)
(* x (+ 1/2 (* -1/4 x)))
(* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))
(* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))
1
(- 1 (* 2 (/ 1 x)))
(- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
1
(- 1 (* 2 (/ 1 x)))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(* -4 x)
(* x (- (* 8 x) 4))
(* x (- (* x (+ 8 (* -32/3 x))) 4))
(* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
(- (exp (* -4 x)) 1)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(- (* 2 (/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))) 1)
(fma.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(fma.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 1/15 binary64) #s(literal -1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(/ (- (exp (* -2 x)) 1) (- (exp (* -4 x)) 1))
(/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 x) 2))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* x (- (* x (+ 2 (* x (- (* 2/3 x) 4/3)))) 2))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal -4/3 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(- (exp (* -2 x)) 1)
(expm1.f64 (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
x
x
x
x
x
x
x
x
x
x
x
x
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/4 x)))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 x))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/8 x) 1/4)))
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 x)) 2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x)) x)
4
#s(literal 4 binary64)
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(+ 4 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* x (+ 2 (* 4 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* -1/4 x))))
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1/2 (* x (- (* 1/8 x) 1/4)))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(- (+ 2 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(- (+ 2 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 x)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x))
(+ 2 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/4 x)))
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* 1/8 x) 1/4))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(* x (+ 1/2 (* x (- (* x (+ 1/8 (* -1/16 x))) 1/4))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ 1 (/ 4 (pow x 2))) (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (* 2 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x))
(* -4 x)
(*.f64 x #s(literal -4 binary64))
(* x (- (* 8 x) 4))
(*.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal -4 binary64)))
(* x (- (* x (+ 8 (* -32/3 x))) 4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -32/3 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)))
(* x (- (* x (+ 8 (* x (- (* 32/3 x) 32/3)))) 4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 32/3 binary64) #s(literal -32/3 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
(- (exp (* -4 x)) 1)
(expm1.f64 (*.f64 x #s(literal -4 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))

eval155.0ms (1.6%)

Memory: -43.0MiB live, 266.7MiB allocated
Compiler: Compiled 17 515 to 1 906 computations (89.1% saved)

prune185.0ms (2%)

Memory

26.2MiB live, 265.7MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	941	1	942
Fresh	2	0	2
Picked	2	3	5
Done	1	6	7
Total	946	10	956

Accuracy

100.0%

Counts

956 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
✓	52.3%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	28.0%	(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
✓	50.9%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
✓	4.3%	(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.4%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	53.1%	x
	26.3%	#s(literal 1 binary64)
✓	27.6%	#s(literal -1 binary64)

Compiler

Compiled 311 to 138 computations (55.6% saved)

regimes59.0ms (0.6%)

Memory

-1.2MiB live, 112.4MiB allocated

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(-.f64 (.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))

Outputs

(fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (*.f64 x #s(literal -2 binary64))) (expm1.f64 (*.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))

(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)

#s(literal -1 binary64)

Calls

7 calls:

23.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	y
6.0ms	x
6.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
5.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
60.1%	2	`y`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes33.0ms (0.3%)

Memory

0.8MiB live, 43.6MiB allocated

Counts

18 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)

#s(literal -1 binary64)

Calls

6 calls:

7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.0ms	x
6.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes42.0ms (0.4%)

Memory

17.0MiB live, 54.4MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 x x) (+.f64 (+.f64 x x) (-.f64 (+.f64 x x) (+.f64 x x)))))) #s(literal 1 binary64))

Outputs

#s(literal 1 binary64)

(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)) x)

#s(literal -1 binary64)

Calls

6 calls:

17.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
4.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.8%	3	`x`
99.8%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.8%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.8%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.8%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.8%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes34.0ms (0.4%)

Memory

-3.5MiB live, 71.6MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
(fma.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 x x)))) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)
(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
#s(literal -1 binary64)

Calls

6 calls:

5.0ms	x
5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
4.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
4.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.7%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.7%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.7%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.7%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes24.0ms (0.3%)

Memory

-14.7MiB live, 44.4MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(-.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
#s(literal -1 binary64)

Calls

6 calls:

8.0ms	(*.f64 #s(literal -2 binary64) x)
4.0ms	x
3.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
3.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
3.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))

Results

Accuracy	Segments	Branch
99.7%	3	`x`
99.7%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.7%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.7%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.7%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.7%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes15.0ms (0.2%)

Memory

0.5MiB live, 39.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
x
#s(literal -1 binary64)

Calls

6 calls:

4.0ms	(*.f64 #s(literal -2 binary64) x)
3.0ms	x
2.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
2.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
2.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.6%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
99.6%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
99.6%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
99.6%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
99.6%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes13.0ms (0.1%)

Memory

-0.5MiB live, 38.2MiB allocated

Counts

3 → 2

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

7 calls:

3.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	y
2.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
29.6%	2	`y`
51.9%	2	`x`
51.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
51.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
51.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
51.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
51.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes11.0ms (0.1%)

Memory

-7.5MiB live, 32.1MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
#s(literal 0 binary64)

Calls

7 calls:

2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
1.0ms	y
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
27.6%	1	`y`
27.6%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
27.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
27.6%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
27.6%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
29.2%	2	`(*.f64 #s(literal -2 binary64) x)`
29.2%	2	`x`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes5.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

4 calls:

1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x
1.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
27.6%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
27.6%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
27.6%	1	`(*.f64 #s(literal -2 binary64) x)`
27.6%	1	`x`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch2.0ms (0%)

Memory

-40.6MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-1.1257925121386292	-9.971967502343287e-7

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-1.1257925121386292	-9.971967502343287e-7

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-3700014406978.792	-1.1257925121386292

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-3700014406978.792	-1.1257925121386292

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-3700014406978.792	-1.1257925121386292

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.384335864450573e-8	6805417.796528359
0.0ms	-3700014406978.792	-1.1257925121386292

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch65.0ms (0.7%)

Memory

28.4MiB live, 106.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
61.0ms	-1.6198791990105011e-307	1.2928624980026195e-297

Samples

55.0ms

160×

valid

Compiler

Compiled 95 to 95 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-exp: 32.0ms (67.4% of total)

adjust: 4.0ms (8.4% of total)

ival-div: 4.0ms (8.4% of total)

ival-sub: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

ival-mult: 2.0ms (4.2% of total)

exact: 1.0ms (2.1% of total)

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

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

bsearch41.0ms (0.4%)

Memory

-8.8MiB live, 30.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
39.0ms	-1.972207199629951e-153	-1.4755407434449054e-155

Samples

35.0ms

112×

valid

Compiler

Compiled 71 to 71 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-exp: 25.0ms (80% of total)

ival-div: 2.0ms (6.4% of total)

adjust: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

ival-mult: 1.0ms (3.2% of total)

ival-sub: 1.0ms (3.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
6×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	173
1	58	173
2	61	173
3	66	173

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -6642173867685913/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 x #s(literal -2 binary64))) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 944473296573929/9444732965739290427392 binary64)) x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -6642173867685913/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

soundness1.6s (17.5%)

Memory

-4.2MiB live, 943.2MiB allocated

Rules

15 342×	`accelerator-lowering-fma.f32`
15 342×	`accelerator-lowering-fma.f64`
15 092×	`accelerator-lowering-fma.f32`
15 092×	`accelerator-lowering-fma.f64`
13 054×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1122
1	482	1084
2	1025	1068
3	2563	1068
4	5830	1068
5	7868	1068
0	8243	898
0	9	28
1	48	28
2	366	28
3	5971	28
0	8137	28
0	38	180
1	262	166
0	2557	138
0	256	1846
1	690	1784
2	1877	1763
3	5989	1752
0	8254	1527
0	19	59
1	118	57
2	994	57
0	8980	50
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	fuel
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
1×	iter limit
1×	node limit

Compiler

Compiled 458 to 266 computations (41.9% saved)

preprocess121.0ms (1.3%)

Memory: 1.3MiB live, 160.0MiB allocated
Remove: (abs y)
Compiler: Compiled 444 to 162 computations (63.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
1	18	10
2	21	10
0	21	10

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
1	18	10
2	21	10
0	21	10

analyze0.0ms (0%)

sample1.6s (16.7%)

preprocess29.0ms (0.3%)

explain191.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize50.0ms (0.5%)

series4.0ms (0%)

rewrite264.0ms (2.8%)

simplify386.0ms (4.1%)

eval74.0ms (0.8%)

prune110.0ms (1.2%)

simplify768.0ms (8.2%)

localize103.0ms (1.1%)

series46.0ms (0.5%)

rewrite496.0ms (5.3%)

simplify182.0ms (1.9%)

eval168.0ms (1.8%)

prune98.0ms (1%)

simplify343.0ms (3.6%)

localize216.0ms (2.3%)

series15.0ms (0.2%)

rewrite164.0ms (1.7%)

simplify358.0ms (3.8%)

eval91.0ms (1%)

prune105.0ms (1.1%)

simplify370.0ms (3.9%)

localize168.0ms (1.8%)

series5.0ms (0.1%)

rewrite152.0ms (1.6%)

simplify400.0ms (4.3%)

eval155.0ms (1.6%)

prune185.0ms (2%)

regimes59.0ms (0.6%)

regimes33.0ms (0.3%)

regimes42.0ms (0.4%)

regimes34.0ms (0.4%)

regimes24.0ms (0.3%)

regimes15.0ms (0.2%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch2.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch65.0ms (0.7%)

bsearch41.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.6s (17.5%)

preprocess121.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	54
1	47	52
2	89	50
3	134	50
4	168	50
5	219	50
6	271	50
7	313	50
8	365	50
9	432	50
10	469	50
11	486	50
12	501	50
13	514	50
14	522	50
15	526	50
0	9	10
1	18	10
2	21	10
0	21	10