Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample1.3s (17%)

Memory

37.0MiB live, 1 851.9MiB allocated

Samples

446.0ms	1 566×	2	valid
321.0ms	2 376×	1	valid
233.0ms	4 314×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 772.0ms

ival-exp: 351.0ms (45.5% of total)

ival-div: 98.0ms (12.7% of total)

adjust: 85.0ms (11% of total)

ival-mult: 78.0ms (10.1% of total)

ival-add: 72.0ms (9.3% of total)

ival-sub: 68.0ms (8.8% of total)

exact: 10.0ms (1.3% of total)

ival-true: 6.0ms (0.8% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

preprocess32.0ms (0.4%)

Memory

-8.3MiB live, 28.6MiB 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
0	14	10
1	23	10
2	26	10
0	26	10

Stop Event

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

Calls

Call 1

Inputs
(-.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))

(+.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)

explain167.0ms (2.1%)

Memory

15.8MiB live, 219.5MiB 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

39.0ms	104×	2	valid
31.0ms	146×	1	valid
16.0ms	262×	0	valid

Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-exp: 23.0ms (36.1% of total)

ival-add: 14.0ms (22% of total)

adjust: 12.0ms (18.8% of total)

ival-div: 6.0ms (9.4% of total)

ival-mult: 4.0ms (6.3% of total)

ival-sub: 4.0ms (6.3% of total)

exact: 1.0ms (1.6% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.9%	(-.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)

simplify9.0ms (0.1%)

Memory

-31.8MiB live, 6.4MiB 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×	`lower-+.f32`
6×	`lower-+.f64`
6×	`lower-exp.f32`
4×	`exp-prod`
4×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	23	35
2	26	35
0	26	35

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize49.0ms (0.6%)

Memory

17.0MiB live, 54.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(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	53.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

15.0ms	52×	2	valid
10.0ms	73×	1	valid
8.0ms	131×	0	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-exp: 11.0ms (46.5% of total)

adjust: 3.0ms (12.7% of total)

ival-div: 3.0ms (12.7% of total)

ival-add: 2.0ms (8.4% of total)

ival-mult: 2.0ms (8.4% of total)

ival-sub: 2.0ms (8.4% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

5 → 60

Calls

Call 1

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

Calls

15 calls:

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

rewrite252.0ms (3.2%)

Memory

-2.3MiB live, 354.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 790×	`lower-fma.f64`
3 790×	`lower-fma.f32`
3 628×	`lower-*.f32`
3 626×	`lower-*.f64`
2 806×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	31
0	14	31
1	53	31
2	371	31
3	5969	31
0	8136	31

Stop Event

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

Counts

5 → 305

Calls

Call 1

Inputs
(-.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) 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)) (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)) (-.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) (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)) (-.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 -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 #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)))
(-.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)) (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)) (-.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) (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)) (-.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 -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)))))))
(expm1.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (.f64 (neg.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64))) #s(literal -1 binary64)) #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 (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)) (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)) (-.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) (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)) (-.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 (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))
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(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -6 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) (expm1.f64 (*.f64 x #s(literal -6 binary64))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.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 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 (.f64 x #s(literal -4 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))) (fma.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -4 binary64) (+.f64 x x)))) (/.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)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.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))
(pow.f64 (/.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) (expm1.f64 (.f64 x #s(literal -4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 x #s(literal -4 binary64))) (expm1.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))
(.f64 (-.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 #s(literal -2 binary64) x)))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 x #s(literal -4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(.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)))) (fma.f64 (exp.f64 (.f64 x #s(literal -6 binary64))) (pow.f64 (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 1 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 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(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 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 #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 2 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)))))
(log.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) (log.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(+.f64 (log.f64 (exp.f64 (.f64 x #s(literal -1 binary64)))) (log.f64 (exp.f64 (.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))))) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)) #s(literal 0 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(fma.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64) (log.f64 (.f64 (exp.f64 (.f64 #s(literal -2 binary64) (.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64) #s(literal 0 binary64))
(.f64 #s(literal 2 binary64) (.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal -2 binary64) (log.f64 (exp.f64 x)))
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64))
(.f64 (fma.f64 x #s(literal 1/2 binary64) (.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))

simplify388.0ms (4.9%)

Memory

0.5MiB live, 382.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
3 260×	`lower-*.f64`
3 260×	`lower-*.f32`
1 930×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	394
1	119	394
2	234	384
3	604	384
4	1194	384
5	1764	384
6	2024	384
7	2599	384
8	3669	384
9	5745	384
10	6685	384
11	7091	384
12	7233	384
13	7295	384
14	7337	384
0	8101	363

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

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))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -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))
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)
(* -2 x)
(-.f64 (neg.f64 x) x)

eval42.0ms (0.5%)

Memory: 1.3MiB live, 78.0MiB allocated
Compiler: Compiled 8 267 to 1 096 computations (86.7% saved)

prune52.0ms (0.7%)

Memory

-27.6MiB live, 91.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	355	9	364
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	10	365

Accuracy

100.0%

Counts

365 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(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)
▶	52.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
▶	50.6%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	6.1%	(-.f64 (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)) #s(literal 1 binary64))
▶	32.3%	(-.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))
▶	32.0%	(-.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))
	31.3%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	53.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.7%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	4.3%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Compiler

Compiled 244 to 154 computations (36.9% saved)

simplify47.0ms (0.6%)

Memory

12.5MiB live, 51.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

1 360×	`lower-fma.f32`
1 346×	`lower-fma.f64`
456×	`lower-*.f32`
452×	`lower-*.f64`
372×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	144
0	47	136
1	95	136
2	193	136
3	331	136
4	517	136
5	601	136
6	615	136
7	744	136
8	745	136
9	747	136
10	751	136
11	829	136
12	831	136
0	831	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize105.0ms (1.3%)

Memory

1.3MiB live, 116.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
✓	accuracy	99.7%	(fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64))
✓	accuracy	99.6%	(-.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))
✓	accuracy	99.3%	(/.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	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓	accuracy	99.6%	(-.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))
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 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))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(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%	(.f64 x (.f64 x x))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))

Samples

36.0ms	125×	1	exit
29.0ms	131×	0	valid

Compiler

Compiled 167 to 33 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 15.0ms (30.8% of total)

ival-add: 10.0ms (20.6% of total)

const: 9.0ms (18.5% of total)

adjust: 8.0ms (16.4% of total)

ival-div: 3.0ms (6.2% of total)

ival-sub: 3.0ms (6.2% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

16 → 180

Calls

Call 1

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

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

Calls

45 calls:

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

rewrite122.0ms (1.6%)

Memory

-25.5MiB live, 97.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 554×	`lower-fma.f32`
1 540×	`lower-fma.f64`
990×	`lower-*.f32`
986×	`lower-*.f64`
744×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	47	115
1	228	115
0	1965	111

Stop Event

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

Counts

16 → 350

Calls

Call 1

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

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

simplify255.0ms (3.2%)

Memory

23.6MiB live, 335.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 630×	`lower-fma.f64`
8 630×	`lower-fma.f32`
3 820×	`lower-*.f64`
3 820×	`lower-*.f32`
1 966×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	1316
1	581	1255
2	1674	1238
3	5441	1218
0	8377	1121

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 176

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

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 (.f64 x x) #s(literal 2/15 binary64) #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)
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(.f64 #s(literal 2/15 binary64) (.f64 x (.f64 x (.f64 x (*.f64 x x)))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.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 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(.f64 (.f64 x (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(- (* 2/15 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(.f64 (.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
(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)
(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))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1/3 (pow x 3))
(.f64 x (.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (.f64 x (.f64 x x)))
(* x (+ 1 (* (pow x 2) (- (* -1 x) 1))))
(fma.f64 (.f64 x (.f64 x x)) (-.f64 #s(literal -1 binary64) x) x)
(* x (+ 1 (* (pow x 2) (- (* x (- (pow x 2) 1)) 1))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 5))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 (pow x 2)) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1)
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(- (+ (* -1 (/ (- (/ 1 (pow x 2)) 1) (pow x 3))) (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* -1 (pow x 2)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* -1 x) 1)))))
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (+ 1 (/ 1 x)) (/ 1 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 3))) (/ 1 x))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x x)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (/ 1 x)) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow x 2)) 1) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))) 1) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))) x)) (.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* 2 x) 2)
(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))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(* -1 (* x (- (* 2 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
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) (- (* 1/3 x) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
(fma.f64 (.f64 x (.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 2/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x (.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (.f64 x (.f64 x x))))
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (.f64 x (.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/2 binary64) (.f64 x (.f64 x x))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (.f64 x (.f64 x x))))
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (/.f64 #s(literal -9/8 binary64) (.f64 x x))) (.f64 x (*.f64 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 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (-.f64 #s(literal -9/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) x)) (.f64 x (.f64 x x)))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -9/16 binary64) x)) x) #s(literal -9/4 binary64)) x)) (.f64 x (.f64 x x)))
(/ -3/2 (pow x 3))
(/.f64 #s(literal -3/2 binary64) (.f64 x (.f64 x x)))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (.f64 x (.f64 x x)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(/.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal -9/4 binary64) x)) (/.f64 #s(literal -9/8 binary64) (.f64 x x))) (.f64 x (*.f64 x x)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
(/.f64 (+.f64 #s(literal -3/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -9/8 binary64) (/.f64 #s(literal -9/16 binary64) x)) x) #s(literal -9/4 binary64)) x)) (.f64 x (.f64 x x)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #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))
(* -4/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -4/3 binary64))))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(.f64 (.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -4/3 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) x)))
(* -4/3 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal -4/3 binary64))))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(.f64 (.f64 x x) (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(.f64 x (fma.f64 x (.f64 x #s(literal -4/3 binary64)) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) x)))
-2
#s(literal -2 binary64)
(- (* 2 x) 2)
(fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(- (* x (+ 2 (* -4/3 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(.f64 x (.f64 x #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* -4/3 (pow x 2))
(.f64 x (.f64 x #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))
(* (pow x 2) (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 4/3))
(fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #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))
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))

eval84.0ms (1.1%)

Memory: 9.8MiB live, 84.3MiB allocated
Compiler: Compiled 11 467 to 1 537 computations (86.6% saved)

prune62.0ms (0.8%)

Memory

-17.5MiB live, 101.0MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	572	3	575
Fresh	1	3	4
Picked	3	2	5
Done	0	1	1
Total	576	9	585

Accuracy

100.0%

Counts

585 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(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)
✓	52.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	50.6%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	6.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	53.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.7%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	50.3%	(-.f64 x (.f64 x (.f64 x x)))
▶	4.3%	#s(literal 0 binary64)
▶	30.3%	#s(literal -1 binary64)

Compiler

Compiled 157 to 96 computations (38.9% saved)

simplify353.0ms (4.5%)

Memory

22.4MiB live, 533.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(-.f64 x (.f64 x (.f64 x x)))
✓	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	(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

16 042×	`lower-fma.f32`
16 036×	`lower-fma.f64`
3 486×	`lower-+.f32`
3 484×	`lower-+.f64`
3 342×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
0	26	63
1	58	63
2	132	63
3	732	63
4	3159	63
5	7018	63
0	8371	63

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (1%)

Memory

-5.9MiB live, 113.5MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(-.f64 x (.f64 x (.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	53.9%	(-.f64 (+.f64 x #s(literal 1 binary64)) #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	99.9%	(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

18.0ms	133×	0	valid
18.0ms	71×	1	valid
17.0ms	52×	2	valid

Compiler

Compiled 83 to 21 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

const: 12.0ms (32.2% of total)

ival-mult: 9.0ms (24.1% of total)

ival-add: 7.0ms (18.8% of total)

adjust: 6.0ms (16.1% of total)

ival-sub: 3.0ms (8% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

3.9MiB live, 3.8MiB allocated

Counts

8 → 96

Calls

Call 1

Inputs
#<alt (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)>
#<alt (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))>
#<alt (*.f64 x x)>
#<alt (fma.f64 (*.f64 x x) #s(literal -17/315 binary64) #s(literal 2/15 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (-.f64 x (.f64 x (.f64 x x)))>
#<alt (.f64 x (.f64 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 (* -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 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 x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* -1 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1 (/ 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)>

Calls

24 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3)
0.0ms	x	@	0	(+ (* (+ (* (* x x) (+ (* (* x x) -17/315) 2/15)) -1/3) (* x (* x x))) x)
0.0ms	x	@	inf	(+ (* (* x x) -17/315) 2/15)

rewrite450.0ms (5.7%)

Memory

28.7MiB live, 510.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 828×	`lower-fma.f32`
9 822×	`lower-fma.f64`
4 654×	`lower-*.f32`
4 650×	`lower-*.f64`
3 576×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	24	50
1	128	48
2	1018	48
0	8652	48

Stop Event

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

Counts

8 → 590

Calls

Call 1

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

Outputs
(+.f64 x (.f64 x (.f64 (.f64 x x) (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 (.f64 x (.f64 (.f64 x x) (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)
(+.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) (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 (.f64 x x) (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))))) (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)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 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)) (neg.f64 x)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 x x) (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 (.f64 x x) (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))))) (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)) (neg.f64 x))) (/.f64 (.f64 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)) (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 x (.f64 (.f64 x x) (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 (.f64 (.f64 x (.f64 (.f64 x x) (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 (.f64 x x) (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 (.f64 (.f64 x x) (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)))))))
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 x (.f64 (.f64 x x) (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)
(fma.f64 (.f64 x x) (.f64 x (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)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x) (.f64 x (.f64 (.f64 x x) (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)))))
(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)
(fma.f64 (.f64 x (.f64 x x)) (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)
(fma.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 (.f64 (.f64 x (.f64 (.f64 x x) (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 (.f64 x x) (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 #s(literal 1 binary64) (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)) (neg.f64 x))) (neg.f64 (/.f64 (.f64 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)) (neg.f64 x)))))
(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 x #s(literal 2 binary64)))) (.f64 x (.f64 (.f64 x x) (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)))))
(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 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 (.f64 x (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 x) x)
(fma.f64 (neg.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) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))))) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 (neg.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 x (.f64 (.f64 x x) (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)))))
(fma.f64 (.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 x)) x x)
(fma.f64 (.f64 (.f64 x (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 x)
(fma.f64 (.f64 (.f64 x (.f64 x x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))) #s(literal -1/27 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) (fma.f64 x (.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))) #s(literal 1/9 binary64)) (.f64 (.f64 x x) (.f64 (fma.f64 x (*.f64 x #s(literal -17/315 binary64)) #s(literal 2/15 binary64)) #s(literal -1/3 binary64))))) x)
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(literal 0 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (.f64 #s(literal 0 binary64) (.f64 x x)))
(fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 #s(literal 0 binary64) (*.f64 x x)))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.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)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))
(fma.f64 (.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)) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))))) (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (.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)) (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 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))
(fma.f64 (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (.f64 (+.f64 x #s(literal 2 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (.f64 (+.f64 x #s(literal 2 binary64)) x)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 x #s(literal -1 binary64)) (.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))
(/.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) (.f64 x (*.f64 x x)))
(/.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 (neg.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))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (+.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (fma.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x)))) #s(literal 0 binary64)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 0 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(.f64 x (.f64 x x))
(.f64 (.f64 x x) x)
(.f64 (.f64 x (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.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)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))

simplify309.0ms (3.9%)

Memory

-8.0MiB live, 360.1MiB allocated

Algorithm

1×	egg-herbie

Rules

10 690×	`lower-fma.f64`
10 690×	`lower-fma.f32`
3 216×	`lower-*.f64`
3 216×	`lower-*.f32`
1 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	561
1	189	537
2	507	528
3	1596	528
4	4143	528
5	6152	528
0	8543	502

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 80

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))
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)))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* -1 (pow x 2))))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* (pow x 3) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1 (/ 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)

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

eval175.0ms (2.2%)

Memory: -25.1MiB live, 204.3MiB allocated
Compiler: Compiled 34 832 to 2 327 computations (93.3% saved)

prune187.0ms (2.4%)

Memory

32.9MiB live, 269.7MiB allocated

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1 053	8	1 061
Fresh	0	1	1
Picked	2	3	5
Done	0	3	3
Total	1 055	15	1 070

Accuracy

100.0%

Counts

1 070 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(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)
✓	52.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
	5.6%	(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
✓	50.6%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	29.7%	(/.f64 (*.f64 x x) x)
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
▶	6.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	53.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.7%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	6.7%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
▶	52.4%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
	17.2%	(.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 x x)))
▶	29.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
▶	52.6%	x
✓	30.3%	#s(literal -1 binary64)

Compiler

Compiled 257 to 158 computations (38.5% saved)

simplify340.0ms (4.3%)

Memory

9.5MiB live, 483.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(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))
✓	cost-diff	256	(-.f64 (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)) #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	1728	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	1344	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	384	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))

Rules

12 384×	`lower-fma.f32`
12 378×	`lower-fma.f64`
3 854×	`lower-*.f32`
3 846×	`lower-*.f64`
2 244×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	108
0	35	87
1	79	85
2	190	84
3	644	84
4	4368	84
5	6281	84
0	8038	82

Stop Event

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

Calls

Call 1

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

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

localize119.0ms (1.5%)

Memory

-21.2MiB live, 176.7MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(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))
✓	accuracy	100.0%	(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	53.9%	(-.f64 (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)) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	77.1%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	54.3%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	53.9%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))

Samples

24.0ms	73×	1	valid
21.0ms	131×	0	valid
20.0ms	52×	2	valid

Compiler

Compiled 119 to 25 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 12.0ms (25.8% of total)

ival-mult: 12.0ms (25.8% of total)

const: 9.0ms (19.4% of total)

adjust: 7.0ms (15.1% of total)

ival-div: 4.0ms (8.6% of total)

ival-sub: 2.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))>
#<alt (-.f64 (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)) #s(literal 1 binary64))>
#<alt (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))>
#<alt (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))>

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

39 calls:

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

rewrite418.0ms (5.3%)

Memory

-12.5MiB live, 624.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 882×	`lower-fma.f32`
4 876×	`lower-fma.f64`
4 216×	`lower-/.f32`
4 212×	`lower-/.f64`
3 530×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
0	35	83
1	174	74
2	1357	68
0	8308	66

Stop Event

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

Counts

13 → 1 165

Calls

Call 1

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

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

simplify305.0ms (3.9%)

Memory

8.7MiB live, 418.7MiB allocated

Algorithm

1×	egg-herbie

Rules

7 714×	`lower-fma.f64`
7 714×	`lower-fma.f32`
3 502×	`lower-*.f64`
3 502×	`lower-*.f32`
1 686×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	119	810
1	327	791
2	807	791
3	2298	782
4	5597	782
0	8501	743

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 115

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
x
x
x
x
x
x
x
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 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))
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
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* 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 (pow x 5)))) (* 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 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
-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
x
x
x
x
x
x
x
x
x
x
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.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
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
x
x
x
x
x
x
x
x
x
x
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)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
x
x
x
x
x
x
x
x
x
x
x
x
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
2
#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 (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
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 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (+ 1 (/ 4 (pow x 2))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal -2 binary64)) 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 (/.f64 #s(literal 4 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal -2 binary64)) x)) x)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x (.f64 x 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 (.f64 x (.f64 x 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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 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 (*.f64 x x) #s(literal -1/3 binary64) #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 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 5) (- (+ 2/15 (+ (/ 1 (pow x 4)) (/ 1 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (.f64 x x)))) #s(literal 1 binary64))
(* 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 #s(literal 2/15 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ (* -1 (/ (+ 1 (/ 1 x)) (pow x 4))) (* 1/3 (/ 1 (pow x 2)))) 2/15)))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(.f64 (.f64 x x) (.f64 x (.f64 x #s(literal 2/15 binary64))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
-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))

eval250.0ms (3.2%)

Memory: -2.3MiB live, 287.2MiB allocated
Compiler: Compiled 34 053 to 2 496 computations (92.7% saved)

prune157.0ms (2%)

Memory

-15.3MiB live, 257.9MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	1 428	1	1 429
Fresh	2	2	4
Picked	1	4	5
Done	0	6	6
Total	1 431	13	1 444

Accuracy

100.0%

Counts

1 444 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.8%	(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)
✓	52.2%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
✓	50.6%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	29.7%	(/.f64 (*.f64 x x) x)
	52.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	6.1%	(-.f64 (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)) #s(literal 1 binary64))
✓	53.9%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.7%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	6.7%	(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	29.6%	(.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x))
	53.8%	(.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
✓	52.6%	x
✓	30.3%	#s(literal -1 binary64)

Compiler

Compiled 318 to 146 computations (54.1% saved)

regimes45.0ms (0.6%)

Memory

12.5MiB live, 93.8MiB allocated

Counts

22 → 3

Calls

Call 1

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

Calls

7 calls:

8.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms	y
7.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
5.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
66.1%	3	`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)

regimes36.0ms (0.5%)

Memory

-0.8MiB live, 75.6MiB allocated

Counts

21 → 2

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0ms	(*.f64 #s(literal -2 binary64) x)
6.0ms	x
6.0ms	(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
81.5%	2	`x`
81.5%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
81.5%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
81.5%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
81.5%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
81.5%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes33.0ms (0.4%)

Memory

23.3MiB live, 64.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
81.4%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
81.4%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
81.4%	2	`(*.f64 #s(literal -2 binary64) x)`
81.4%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
81.4%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
81.4%	2	`x`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes24.0ms (0.3%)

Memory

-29.7MiB live, 48.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
x

Calls

6 calls:

5.0ms	(*.f64 #s(literal -2 binary64) x)
5.0ms	x
3.0ms	(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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

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

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes49.0ms (0.6%)

Memory

-2.3MiB live, 36.3MiB 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:

40.0ms	y
2.0ms	(*.f64 #s(literal -2 binary64) x)
2.0ms	x
1.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) 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))

Results

Accuracy	Segments	Branch
30.3%	1	`y`
30.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
30.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
30.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
30.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
31.9%	2	`(*.f64 #s(literal -2 binary64) x)`
31.9%	2	`x`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes5.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB 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
30.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
30.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
30.3%	1	`(*.f64 #s(literal -2 binary64) x)`
30.3%	1	`x`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.015245003697796649	29.82284091505521
0.0ms	-46049845.95424564	-0.0003943522609892195

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch44.0ms (0.6%)

Memory

-27.2MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	-9.917440428151069e-6	-2.8114897686884338e-11

Samples

36.0ms

144×

valid

Compiler

Compiled 276 to 204 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (19.8% of total)

ival-sub: 1.0ms (19.8% of total)

ival-exp: 1.0ms (19.8% of total)

ival-add: 1.0ms (19.8% of total)

ival-mult: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Memory

-6.5MiB live, 30.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-14.911420457527605	-0.007622501848898324

Samples

8.0ms

128×

valid

Compiler

Compiled 143 to 119 computations (16.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 1.0ms (20.1% of total)

ival-sub: 1.0ms (20.1% of total)

ival-exp: 1.0ms (20.1% of total)

ival-add: 1.0ms (20.1% of total)

ival-mult: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

bsearch9.0ms (0.1%)

Memory

19.5MiB live, 19.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	-14.911420457527605	-0.007622501848898324

Samples

5.0ms

80×

valid

Compiler

Compiled 79 to 71 computations (10.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-div: 1.0ms (33.3% of total)

ival-exp: 1.0ms (33.3% of total)

ival-mult: 1.0ms (33.3% of total)

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

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

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Memory

14.3MiB live, 50.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	-4.8415221310183636e-151	-1.0386299809091788e-154

Samples

19.0ms

128×

valid

Compiler

Compiled 79 to 79 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 5.0ms (34.2% of total)

adjust: 4.0ms (27.4% of total)

ival-div: 2.0ms (13.7% of total)

ival-add: 1.0ms (6.8% of total)

ival-mult: 1.0ms (6.8% of total)

ival-sub: 1.0ms (6.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Memory

-20.0MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
2×	`mul-1-neg_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	104
1	57	104
2	61	104
3	68	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40000000 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 5764607523034235/288230376151711744 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 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -3264099712959499/302231454903657293676544 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 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) #s(literal -1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
(if (<=.f64 x #s(literal -3381470332640101/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40000000 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 5764607523034235/288230376151711744 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 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -40000000 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 5764607523034235/288230376151711744 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 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -3264099712959499/302231454903657293676544 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 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -3264099712959499/302231454903657293676544 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 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -5944751508129055/9007199254740992 binary64)) #s(literal -1 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
(if (<=.f64 x #s(literal -3381470332640101/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

soundness1.3s (16.8%)

Memory

4.7MiB live, 755.1MiB allocated

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
9 828×	`lower-fma.f32`
9 822×	`lower-fma.f64`
8 630×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	47	115
1	228	115
0	1965	111
0	49	394
1	119	394
2	234	384
3	604	384
4	1194	384
5	1764	384
6	2024	384
7	2599	384
8	3669	384
9	5745	384
10	6685	384
11	7091	384
12	7233	384
13	7295	384
14	7337	384
0	8101	363
0	210	1316
1	581	1255
2	1674	1238
3	5441	1218
0	8377	1121
0	119	810
1	327	791
2	807	791
3	2298	782
4	5597	782
0	8501	743
0	13	58
0	24	50
1	128	48
2	1018	48
0	8652	48

Stop Event

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

Compiler

Compiled 272 to 168 computations (38.2% saved)

preprocess66.0ms (0.8%)

Memory: 11.2MiB live, 130.1MiB allocated
Remove: (abs y)
Compiler: Compiled 340 to 164 computations (51.8% 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
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	23	144
0	47	136
1	95	136
2	193	136
3	331	136
4	517	136
5	601	136
6	615	136
7	744	136
8	745	136
9	747	136
10	751	136
11	829	136
12	831	136
0	831	132

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
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	23	144
0	47	136
1	95	136
2	193	136
3	331	136
4	517	136
5	601	136
6	615	136
7	744	136
8	745	136
9	747	136
10	751	136
11	829	136
12	831	136
0	831	132

analyze0.0ms (0%)

sample1.3s (17%)

preprocess32.0ms (0.4%)

explain167.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize49.0ms (0.6%)

series6.0ms (0.1%)

rewrite252.0ms (3.2%)

simplify388.0ms (4.9%)

eval42.0ms (0.5%)

prune52.0ms (0.7%)

simplify47.0ms (0.6%)

localize105.0ms (1.3%)

series10.0ms (0.1%)

rewrite122.0ms (1.6%)

simplify255.0ms (3.2%)

eval84.0ms (1.1%)

prune62.0ms (0.8%)

simplify353.0ms (4.5%)

localize81.0ms (1%)

series3.0ms (0%)

rewrite450.0ms (5.7%)

simplify309.0ms (3.9%)

eval175.0ms (2.2%)

prune187.0ms (2.4%)

simplify340.0ms (4.3%)

localize119.0ms (1.5%)

series5.0ms (0.1%)

rewrite418.0ms (5.3%)

simplify305.0ms (3.9%)

eval250.0ms (3.2%)

prune157.0ms (2%)

regimes45.0ms (0.6%)

regimes36.0ms (0.5%)

regimes33.0ms (0.4%)

regimes24.0ms (0.3%)

regimes49.0ms (0.6%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch44.0ms (0.6%)

bsearch17.0ms (0.2%)

bsearch9.0ms (0.1%)

bsearch26.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.3s (16.8%)

preprocess66.0ms (0.8%)

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
0	14	10
1	23	10
2	26	10
0	26	10

Iter	Nodes	Cost
0	23	144
0	47	136
1	95	136
2	193	136
3	331	136
4	517	136
5	601	136
6	615	136
7	744	136
8	745	136
9	747	136
10	751	136
11	829	136
12	831	136
0	831	132