Metrics for Logistic function from Lakshay Garg

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample2.0s (23.3%)

Memory

-129.1MiB live, 1 771.4MiB allocated

Samples

627.0ms	2 373×	1	valid
435.0ms	1 355×	2	valid
332.0ms	4 328×	0	valid
171.0ms	200×	3	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 536.0ms (50.7% of total)

ival-div: 107.0ms (10.1% of total)

ival-mult: 105.0ms (9.9% of total)

ival-add: 98.0ms (9.3% of total)

adjust: 96.0ms (9.1% of total)

ival-sub: 89.0ms (8.4% of total)

exact: 16.0ms (1.5% of total)

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

ival-assert: 4.0ms (0.4% of total)

Bogosity

preprocess31.0ms (0.4%)

Memory

-2.4MiB live, 32.6MiB 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)

explain211.0ms (2.5%)

Memory

-32.7MiB live, 379.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
127	-	-	`(-.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	127	0

Confusion

	Predicted +	Predicted -
+	127	0
-	0	129

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	129
1	127

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

49.0ms	96×	2	valid
49.0ms	262×	0	valid
24.0ms	142×	1	valid
6.0ms	12×	3	valid

Compiler

Compiled 98 to 44 computations (55.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-exp: 45.0ms (43.4% of total)

ival-add: 33.0ms (31.8% of total)

ival-sub: 7.0ms (6.7% of total)

ival-div: 6.0ms (5.8% of total)

adjust: 5.0ms (4.8% of total)

ival-mult: 5.0ms (4.8% of total)

exact: 1.0ms (1% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(-.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)

simplify5.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB 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

localize61.0ms (0.7%)

Memory

21.8MiB live, 97.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓	accuracy	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Samples

26.0ms	48×	2	valid
11.0ms	71×	1	valid
8.0ms	131×	0	valid
3.0ms	6×	3	valid

Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions

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

ival-exp: 24.0ms (64.3% of total)

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

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

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

adjust: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

4 → 48

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))>

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

Calls

12 calls:

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

rewrite295.0ms (3.4%)

Memory

8.6MiB live, 480.7MiB 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	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28

Stop Event

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

Counts

4 → 282

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))

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)))))))
(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))
(fma.f64 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (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 (pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 #s(literal -2 binary64) x))))))))
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(/.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)))))

simplify393.0ms (4.6%)

Memory

-47.4MiB live, 694.6MiB 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	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

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

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

eval40.0ms (0.5%)

Memory: 32.6MiB live, 108.4MiB allocated
Compiler: Compiled 7 800 to 983 computations (87.4% saved)

prune50.0ms (0.6%)

Memory

-29.1MiB live, 128.2MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	319	10	329
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	319	11	330

Accuracy

100.0%

Counts

330 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(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)
▶	51.6%	(fma.f64 (fma.f64 (.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) x)
	28.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
▶	50.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	5.6%	(-.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))
▶	29.1%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -4/3 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))
▶	29.0%	(-.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))
	28.3%	(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
✓	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
▶	4.4%	(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))

Compiler

Compiled 272 to 178 computations (34.6% saved)

simplify69.0ms (0.8%)

Memory

0.1MiB live, 82.2MiB 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)

localize143.0ms (1.7%)

Memory

14.2MiB live, 207.2MiB 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	98.6%	(/.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	54.0%	(-.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))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal -2 binary64) (+.f64 x x))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64)))
✓	accuracy	54.0%	(-.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))
✓	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%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))

Samples

34.0ms	49×	2	valid
33.0ms	71×	1	valid
31.0ms	131×	0	valid
4.0ms	5×	3	valid

Compiler

Compiled 167 to 33 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 22.0ms (28.4% of total)

ival-add: 18.0ms (23.2% of total)

const: 14.0ms (18% of total)

adjust: 10.0ms (12.9% of total)

ival-div: 7.0ms (9% of total)

ival-sub: 6.0ms (7.7% of total)

exact: 1.0ms (1.3% of total)

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

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

series11.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB 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	@	0	(+ -2 (+ x x))
1.0ms	x	@	0	(+ (* (+ (* (* x x) 2/15) -1/3) (* x (* x x))) x)
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)

rewrite118.0ms (1.4%)

Memory

-4.5MiB live, 122.1MiB 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)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x)) (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) x))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 x x (-.f64 (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) x)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))))) (neg.f64 (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (-.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))))
(.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)))) (.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (*.f64 x x)))))))
(.f64 (fma.f64 #s(literal 1/9 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) (neg.f64 x))))
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x)))) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x)))))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x)))) (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x)))))) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 x #s(literal -2 binary64) (+.f64 x x))))))))
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(/.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))))

simplify297.0ms (3.5%)

Memory

-19.9MiB live, 408.4MiB 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))

eval108.0ms (1.3%)

Memory: 24.3MiB live, 139.4MiB allocated
Compiler: Compiled 11 467 to 1 537 computations (86.6% saved)

prune92.0ms (1.1%)

Memory

7.7MiB live, 98.7MiB allocated

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	570	5	575
Fresh	1	4	5
Picked	4	1	5
Done	0	1	1
Total	575	11	586

Accuracy

100.0%

Counts

586 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(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)
	28.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
▶	51.6%	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
✓	50.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
▶	5.6%	(-.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))
▶	28.4%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	49.9%	(-.f64 x (.f64 x (.f64 x x)))
	4.4%	#s(literal 0 binary64)
▶	27.3%	#s(literal -1 binary64)

Compiler

Compiled 240 to 156 computations (35% saved)

simplify307.0ms (3.6%)

Memory

-7.2MiB live, 495.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	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 x #s(literal 1 binary64))
✓	cost-diff	384	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
✓	cost-diff	0	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	cost-diff	0	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)

Rules

9 604×	`lower-fma.f32`
9 592×	`lower-fma.f64`
4 082×	`lower--.f32`
4 076×	`lower--.f64`
3 018×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	185
0	52	178
1	116	178
2	219	176
3	996	176
4	2235	176
5	5522	176
6	7524	176
0	8121	163

Stop Event

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

Calls

Call 1

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

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

localize196.0ms (2.3%)

Memory

11.3MiB live, 249.2MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64)))
✓	accuracy	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
✓	accuracy	99.9%	(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 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	99.9%	(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 binary64))
✓	accuracy	54.0%	(-.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 1 binary64))
✓	accuracy	54.0%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal 2/15 binary64))
✓	accuracy	99.8%	(.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
✓	accuracy	99.6%	(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))

Samples

58.0ms	131×	0	valid
53.0ms	71×	1	valid
31.0ms	48×	2	valid
4.0ms	6×	3	valid

Compiler

Compiled 204 to 36 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

adjust: 29.0ms (31.1% of total)

ival-mult: 19.0ms (20.3% of total)

ival-add: 17.0ms (18.2% of total)

const: 9.0ms (9.6% of total)

ival-sub: 9.0ms (9.6% of total)

ival-div: 8.0ms (8.6% of total)

exact: 1.0ms (1.1% of total)

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

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

series15.0ms (0.2%)

Memory

-23.3MiB live, 21.4MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)>
#<alt (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)>
#<alt (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))>
#<alt (-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 x #s(literal 1 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 (*.f64 x x)>
#<alt (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 2 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64)))>
#<alt (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))>
#<alt (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))>
#<alt (*.f64 x #s(literal 2/15 binary64))>
#<alt (fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #s(literal -1/3 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 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (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 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 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 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 x)>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* x (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<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 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 (* -1/3 (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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/4 x)))>
#<alt (* x (+ 1 (* x (+ 1/4 (* -1/8 x)))))>
#<alt (* x (+ 1 (* x (+ 1/4 (* x (- (* -1/8 x) 1/8))))))>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)>
#<alt (- (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 8 (pow x 2)))) 1)>
#<alt -1>
#<alt (- (* 2 (/ 1 x)) 1)>
#<alt (- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x)) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/4 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/4 (* -1/8 x))))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 8 (/ 1 x))) x)>
#<alt (/ (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) x)>
#<alt (/ (- (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) (* 16 (/ 1 (pow x 3)))) x)>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* 8 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (- (* 16 (/ 1 x)) 8) x))) x)) 2) x))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 3/2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 3/2 (* -3/4 x))) 2)))>
#<alt x>
#<alt (* x (- 1 (* 4 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 12 (pow x 2))) (* 4 (/ 1 x))))>
#<alt (* x (- (+ 1 (/ 12 (pow x 2))) (+ (* 4 (/ 1 x)) (* 24 (/ 1 (pow x 3))))))>
#<alt x>
#<alt (* -1 (* x (- (* 4 (/ 1 x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 12 (/ 1 x)) 4) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 24 (/ 1 x)) 12) x)) 4) x)) 1)))>
#<alt -2>
#<alt (- (* 3/2 x) 2)>
#<alt (- (* x (+ 3/2 (* -3/4 x))) 2)>
#<alt (- (* x (+ 3/2 (* x (- (* 3/8 x) 3/4)))) 2)>
#<alt 1>
#<alt (- 1 (* 6 (/ 1 x)))>
#<alt (- (+ 1 (/ 12 (pow x 2))) (* 6 (/ 1 x)))>
#<alt (- (+ 1 (/ 12 (pow x 2))) (+ (* 6 (/ 1 x)) (* 24 (/ 1 (pow x 3)))))>
#<alt 1>
#<alt (- 1 (* 6 (/ 1 x)))>
#<alt (+ 1 (* -1 (/ (- 6 (* 12 (/ 1 x))) x)))>
#<alt (+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 12 (* 24 (/ 1 x))) x))) x)))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<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

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(* x 2/15)
0.0ms	x	@	-inf	(- (+ (* x (+ (* (* x x) (+ (* (* x x) 2/15) -1/3)) 1)) 1) 1)
0.0ms	x	@	inf	(+ (* x (/ (+ (+ x x) -8) (+ (+ x x) 4))) 2)
0.0ms	x	@	inf	(- (/ 2 (+ (* x (/ (+ (+ x x) -8) (+ (+ x x) 4))) 2)) 1)
0.0ms	x	@	0	(- (/ 2 (+ (* x (/ (+ (+ x x) -8) (+ (+ x x) 4))) 2)) 1)

rewrite163.0ms (1.9%)

Memory

13.4MiB live, 249.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 198×	`lower-fma.f32`
2 186×	`lower-fma.f64`
1 028×	`lower-*.f32`
1 020×	`lower-*.f64`
894×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	51	152
1	274	148
0	2193	137

Stop Event

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

Counts

16 → 439

Calls

Call 1

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

Outputs
(+.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(+.f64 x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 #s(literal 1 binary64) (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)))
(+.f64 (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)) #s(literal -1 binary64))
(+.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #s(literal 0 binary64))
(+.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) x)
(+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))
(+.f64 #s(literal -1 binary64) (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)))
(-.f64 (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)) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 (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)) (.f64 (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)) (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)))) (fma.f64 (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)) (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)) (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 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (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)) (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 2 binary64)))))
(-.f64 (/.f64 (.f64 (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)) (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))) (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 2 binary64))) (/.f64 #s(literal 1 binary64) (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 2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))) (/.f64 (.f64 x x) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(fma.f64 x #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)) #s(literal 0 binary64)))
(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 0 binary64))
(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 x (.f64 (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)) #s(literal 0 binary64))
(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 #s(literal 1 binary64) x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (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)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #s(literal 0 binary64))
(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 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (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)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) 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 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) (.f64 (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 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.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)) #s(literal 1 binary64)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))) #s(literal -1 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 x #s(literal 2 binary64)))) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x 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)))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (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)) (.f64 (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)) (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))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (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)) (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)) (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 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 (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 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (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 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (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))) #s(literal -1 binary64))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (*.f64 x x))))
(fma.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (fma.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (.f64 (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 2 binary64)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)) (/.f64 #s(literal 1 binary64) (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 2 binary64))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (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)) (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)) (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 2 binary64))) (fma.f64 (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)) (.f64 (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)) (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))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 2 binary64)) (.f64 (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 2 binary64)) (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))))) (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x)) (.f64 (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 x (.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (neg.f64 x)))))
(/.f64 (fma.f64 (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x))))) (.f64 x (.f64 x x))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))) (.f64 (.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) (.f64 (.f64 x x) (.f64 (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)) (.f64 x (.f64 x x)))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x)))) (fma.f64 (/.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal -2 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal -4 binary64))))
(/.f64 (fma.f64 (/.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x)))))
(/.f64 (fma.f64 (/.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x)))))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal -4 binary64)) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 8 binary64))) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal -4 binary64))) (neg.f64 (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64)))))
(.f64 (fma.f64 (/.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 x x))))))
(.f64 (+.f64 (/.f64 (.f64 (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64))) (.f64 x (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal -2 binary64))))
(neg.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -512 binary64)) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) (-.f64 #s(literal 64 binary64) (+.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64)))))
(/.f64 (+.f64 (+.f64 x x) #s(literal -64 binary64)) (*.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal 8 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal -512 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 x x) (-.f64 #s(literal 64 binary64) (+.f64 x x))) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (.f64 (+.f64 (+.f64 x x) #s(literal -64 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 x x) #s(literal 8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64)))
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -512 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (+.f64 (+.f64 x x) (-.f64 #s(literal 64 binary64) (+.f64 x x))))
(/.f64 (*.f64 (+.f64 (+.f64 x x) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64)))) (+.f64 (+.f64 x x) #s(literal 8 binary64)))
(pow.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)) (+.f64 (+.f64 x x) #s(literal -8 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))))
(*.f64 (neg.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 x x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x x) #s(literal 4 binary64))) (+.f64 (+.f64 x x) #s(literal -8 binary64)))
(*.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 64 binary64))) (+.f64 (+.f64 x x) (-.f64 #s(literal 16 binary64) (+.f64 x x))))
(*.f64 (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal -16 binary64))) (+.f64 (+.f64 x x) #s(literal -4 binary64)))
(*.f64 x #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) 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 #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))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) #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))))

simplify376.0ms (4.4%)

Memory

18.1MiB live, 572.1MiB allocated

Algorithm

1×	egg-herbie

Rules

12 166×	`lower-fma.f64`
12 166×	`lower-fma.f32`
4 162×	`lower-+.f64`
4 162×	`lower-+.f32`
3 656×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1444
1	558	1419
2	1398	1399
3	3907	1354
0	8202	1272

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 173

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 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (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 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 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 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 x)
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* x (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 3))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
-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)))))
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 (* -1/3 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* 1/4 x)))
(* x (+ 1 (* x (+ 1/4 (* -1/8 x)))))
(* x (+ 1 (* x (+ 1/4 (* x (- (* -1/8 x) 1/8))))))
-1
(- (* 2 (/ 1 x)) 1)
(- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)
(- (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 8 (pow x 2)))) 1)
-1
(- (* 2 (/ 1 x)) 1)
(- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)
(- (* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x)) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/4 x))))
(+ 1 (* x (+ 1 (* x (+ 1/4 (* -1/8 x))))))
(/ 2 x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(/ (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) x)
(/ (- (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) (* 16 (/ 1 (pow x 3)))) x)
(/ 2 x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (- (* 16 (/ 1 x)) 8) x))) x)) 2) x))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 3/2 x) 2)))
(+ 2 (* x (- (* x (+ 3/2 (* -3/4 x))) 2)))
x
(* x (- 1 (* 4 (/ 1 x))))
(* x (- (+ 1 (/ 12 (pow x 2))) (* 4 (/ 1 x))))
(* x (- (+ 1 (/ 12 (pow x 2))) (+ (* 4 (/ 1 x)) (* 24 (/ 1 (pow x 3))))))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 12 (/ 1 x)) 4) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 24 (/ 1 x)) 12) x)) 4) x)) 1)))
-2
(- (* 3/2 x) 2)
(- (* x (+ 3/2 (* -3/4 x))) 2)
(- (* x (+ 3/2 (* x (- (* 3/8 x) 3/4)))) 2)
1
(- 1 (* 6 (/ 1 x)))
(- (+ 1 (/ 12 (pow x 2))) (* 6 (/ 1 x)))
(- (+ 1 (/ 12 (pow x 2))) (+ (* 6 (/ 1 x)) (* 24 (/ 1 (pow x 3)))))
1
(- 1 (* 6 (/ 1 x)))
(+ 1 (* -1 (/ (- 6 (* 12 (/ 1 x))) x)))
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 12 (* 24 (/ 1 x))) x))) x)))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 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 x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 (+.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 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* -1/3 (pow x 2))
(.f64 #s(literal -1/3 binary64) (.f64 x x))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* x (- (* 2/15 (pow x 2)) 1/3))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* (pow x 3) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* 2/15 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64)))
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(.f64 x (fma.f64 x (.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 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))
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 (* -1/3 (pow x 2))))
(fma.f64 x (.f64 #s(literal -1/3 binary64) (.f64 x x)) x)
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(fma.f64 (.f64 x x) (.f64 x (fma.f64 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 x) (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x)
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.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 (+.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 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 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 x (*.f64 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 (+.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 (pow x 5)))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.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 (+.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 (/ (+ 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 x (*.f64 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 x (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* 2/15 (pow x 4))
(.f64 x (.f64 x (.f64 x (.f64 x #s(literal 2/15 binary64)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 binary64))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal 1 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)
x
(* x (+ 1 (* 1/4 x)))
(fma.f64 x (*.f64 x #s(literal 1/4 binary64)) x)
(* x (+ 1 (* x (+ 1/4 (* -1/8 x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(* x (+ 1 (* x (+ 1/4 (* x (- (* -1/8 x) 1/8))))))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) x)
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) #s(literal -1 binary64))
(- (+ (* 2 (/ 1 x)) (+ (* 8 (/ 1 (pow x 3))) (/ 8 (pow x 2)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ (* 2 (/ 1 x)) (/ 8 (pow x 2))) 1)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/4 x))))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/4 (* -1/8 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)
(/ (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)
(/ (- (+ 2 (+ (* 8 (/ 1 x)) (/ 8 (pow x 2)))) (* 16 (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 8 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 8 (* 8 (/ 1 x))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 8 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 8 (* -1 (/ (- (* 16 (/ 1 x)) 8) x))) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 3/2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 3/2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 3/2 (* -3/4 x))) 2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 3/2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64))
x
(* x (- 1 (* 4 (/ 1 x))))
(+.f64 x #s(literal -4 binary64))
(* x (- (+ 1 (/ 12 (pow x 2))) (* 4 (/ 1 x))))
(+.f64 x (fma.f64 x (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal -4 binary64)))
(* x (- (+ 1 (/ 12 (pow x 2))) (+ (* 4 (/ 1 x)) (* 24 (/ 1 (pow x 3))))))
(+.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -24 binary64) x)) (*.f64 x x)) #s(literal -4 binary64)))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(+.f64 x #s(literal -4 binary64))
(* -1 (* x (- (* -1 (/ (- (* 12 (/ 1 x)) 4) x)) 1)))
(+.f64 x (fma.f64 x (/.f64 #s(literal 12 binary64) (*.f64 x x)) #s(literal -4 binary64)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 24 (/ 1 x)) 12) x)) 4) x)) 1)))
(+.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -24 binary64) x)) (*.f64 x x)) #s(literal -4 binary64)))
-2
#s(literal -2 binary64)
(- (* 3/2 x) 2)
(fma.f64 x #s(literal 3/2 binary64) #s(literal -2 binary64))
(- (* x (+ 3/2 (* -3/4 x))) 2)
(fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 3/2 binary64)) #s(literal -2 binary64))
(- (* x (+ 3/2 (* x (- (* 3/8 x) 3/4)))) 2)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal -3/4 binary64)) #s(literal 3/2 binary64)) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(- 1 (* 6 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x))
(- (+ 1 (/ 12 (pow x 2))) (* 6 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal -6 binary64)) x))
(- (+ 1 (/ 12 (pow x 2))) (+ (* 6 (/ 1 x)) (* 24 (/ 1 (pow x 3)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -24 binary64) x)) x) #s(literal -6 binary64)) x))
1
#s(literal 1 binary64)
(- 1 (* 6 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x))
(+ 1 (* -1 (/ (- 6 (* 12 (/ 1 x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 12 binary64) x) #s(literal -6 binary64)) x))
(+ 1 (* -1 (/ (+ 6 (* -1 (/ (- 12 (* 24 (/ 1 x))) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -24 binary64) x)) x) #s(literal -6 binary64)) x))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 binary64))
(* 2/15 x)
(*.f64 x #s(literal 2/15 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))

eval88.0ms (1%)

Memory: -5.1MiB live, 179.2MiB allocated
Compiler: Compiled 17 112 to 1 250 computations (92.7% saved)

prune71.0ms (0.8%)

Memory

-10.3MiB live, 169.7MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	619	9	628
Fresh	2	2	4
Picked	1	4	5
Done	0	2	2
Total	622	17	639

Accuracy

100.0%

Counts

639 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(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)
	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))
▶	6.4%	(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))
	28.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
✓	51.6%	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
▶	49.7%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
✓	50.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	16.9%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
	27.5%	(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
▶	52.2%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	5.6%	(-.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))
▶	25.9%	(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
✓	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	52.3%	(.f64 (.f64 (+.f64 x #s(literal 2 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
▶	52.4%	x
✓	27.3%	#s(literal -1 binary64)

Compiler

Compiled 345 to 219 computations (36.5% saved)

simplify326.0ms (3.8%)

Memory

19.7MiB live, 448.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	0	(+.f64 x #s(literal 2 binary64))
✓	cost-diff	704	(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	cost-diff	0	(/.f64 #s(literal 8 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)
✓	cost-diff	0	(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
✓	cost-diff	0	(+.f64 x #s(literal -1 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	cost-diff	0	(fma.f64 x x #s(literal -1 binary64))
✓	cost-diff	1472	(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))
✓	cost-diff	0	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)

Rules

14 536×	`lower-fma.f32`
14 528×	`lower-fma.f64`
2 964×	`lower-*.f32`
2 960×	`lower-*.f64`
2 382×	`lower-/.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	105
0	40	95
1	72	88
2	145	85
3	330	83
4	2465	81
5	7350	81
0	8008	81

Stop Event

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

Calls

Call 1

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

Outputs
x
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(*.f64 x x)
x
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
#s(literal -1/8 binary64)
#s(literal 1/4 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))
(+.f64 x #s(literal 0 binary64))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal -1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 8 binary64) x)
#s(literal 8 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
x
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))
(/.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))

localize106.0ms (1.2%)

Memory

-1.8MiB live, 202.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓	accuracy	83.1%	(/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(/.f64 #s(literal 8 binary64) x)
✓	accuracy	100.0%	(-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)
✓	accuracy	100.0%	(fma.f64 x x #s(literal -1 binary64))
✓	accuracy	100.0%	(+.f64 x #s(literal -1 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
✓	accuracy	37.1%	(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))
✓	accuracy	100.0%	(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)

Samples

24.0ms	131×	0	valid
24.0ms	52×	2	valid
21.0ms	71×	1	valid
1.0ms	2×	3	valid

Compiler

Compiled 113 to 28 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-add: 15.0ms (30.9% of total)

ival-div: 12.0ms (24.8% of total)

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

adjust: 8.0ms (16.5% of total)

ival-sub: 2.0ms (4.1% of total)

exact: 1.0ms (2.1% of total)

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

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

series10.0ms (0.1%)

Memory

-19.8MiB live, 18.8MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64))>
#<alt (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))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x)>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x))>
#<alt (/.f64 #s(literal 8 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))>
#<alt (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x))>
#<alt (+.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)>

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

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+ (* (+ (* x x) -1) (/ 1 (+ x -1))) -1)
1.0ms	x	@	0	(+ (* (+ (* x x) -1) (/ 1 (+ x -1))) -1)
1.0ms	x	@	-inf	(+ (* (+ (* x x) -1) (/ 1 (+ x -1))) -1)
0.0ms	x	@	inf	(+ (* (* x x) (+ (* x -1/8) 1/4)) x)
0.0ms	x	@	0	(/ (+ 2 (/ 8 x)) x)

rewrite310.0ms (3.6%)

Memory

56.0MiB live, 509.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 578×	`lower-*.f32`
4 574×	`lower-*.f64`
4 348×	`lower-fma.f32`
4 340×	`lower-fma.f64`
4 322×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	91
0	40	90
1	195	71
2	1575	69
0	8329	69

Stop Event

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

Counts

15 → 651

Calls

Call 1

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

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

simplify240.0ms (2.8%)

Memory

0.2MiB live, 362.3MiB allocated

Algorithm

1×	egg-herbie

Rules

7 930×	`lower-fma.f64`
7 930×	`lower-fma.f32`
2 630×	`lower-*.f64`
2 630×	`lower-*.f32`
1 508×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	791
1	257	789
2	670	786
3	2040	780
4	5709	772
0	8353	724

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 151

Calls

Call 1

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

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

eval116.0ms (1.4%)

Memory: 5.7MiB live, 236.8MiB allocated
Compiler: Compiled 17 620 to 2 238 computations (87.3% saved)

prune119.0ms (1.4%)

Memory

-20.7MiB live, 247.6MiB allocated

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	857	6	863
Fresh	4	2	6
Picked	4	1	5
Done	0	6	6
Total	865	15	880

Accuracy

100.0%

Counts

880 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(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)
	3.6%	(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
	28.2%	(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
✓	51.6%	(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
✓	50.1%	(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
	3.8%	(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
	2.9%	(/.f64 #s(literal 8 binary64) (*.f64 x x))
	54.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))))
	52.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	5.6%	(-.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))
✓	54.0%	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓	6.6%	(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
	52.4%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
✓	52.4%	x
✓	27.3%	#s(literal -1 binary64)

Compiler

Compiled 458 to 211 computations (53.9% saved)

regimes60.0ms (0.7%)

Memory

3.4MiB live, 82.8MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x (.f64 x (.f64 x x)))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 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))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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))
(-.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 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
(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) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))

Outputs

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

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

#s(literal -1 binary64)

Calls

7 calls:

12.0ms	(*.f64 #s(literal -2 binary64) x)
9.0ms	y
8.0ms	x
8.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	3	`x`
62.8%	4	`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)

regimes65.0ms (0.8%)

Memory

-16.0MiB live, 61.6MiB allocated

Counts

30 → 3

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x (.f64 x (.f64 x x)))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 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))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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))
(-.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 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
(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) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))

Outputs

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

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

#s(literal -1 binary64)

Calls

6 calls:

17.0ms	(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
17.0ms	(*.f64 #s(literal -2 binary64) x)
8.0ms	x
7.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
7.0ms	(/.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`
100.0%	3	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
100.0%	3	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
100.0%	3	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
100.0%	3	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
100.0%	3	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes48.0ms (0.6%)

Memory

-2.0MiB live, 78.1MiB allocated

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x (.f64 x (.f64 x x)))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 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))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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))
(-.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 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) x)))
(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) (fma.f64 x (/.f64 (+.f64 (+.f64 x x) #s(literal -8 binary64)) (+.f64 (+.f64 x x) #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))

Outputs

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

Calls

6 calls:

9.0ms	x
9.0ms	(exp.f64 (*.f64 #s(literal -2 binary64) x))
8.0ms	(*.f64 #s(literal -2 binary64) x)
7.0ms	(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
7.0ms	(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))

Results

Accuracy	Segments	Branch
78.9%	2	`x`
78.9%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
78.9%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
78.9%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
78.9%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
78.9%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes41.0ms (0.5%)

Memory

-0.9MiB live, 74.4MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x (.f64 x (.f64 x x)))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 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))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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))

Outputs

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
78.8%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
78.8%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
78.8%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
78.8%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
78.8%	2	`x`
78.8%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes38.0ms (0.4%)

Memory

-10.6MiB live, 72.4MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 0 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 x (.f64 x (.f64 x x)))
(/.f64 #s(literal 8 binary64) (*.f64 x x))
(fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) (-.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (+.f64 #s(literal -2 binary64) (+.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 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))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) x) (+.f64 x #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 x (fma.f64 x (*.f64 x #s(literal 2/15 binary64)) #s(literal -1/3 binary64))) x) x x)
(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 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) x)) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))

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

Results

Accuracy	Segments	Branch
76.0%	2	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
76.0%	2	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
76.0%	2	`x`
76.0%	2	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
76.0%	2	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
76.0%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes10.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
27.3%	1	`y`
29.0%	2	`x`
27.3%	1	`(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))`
27.3%	1	`(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))`
27.3%	1	`(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))`
27.3%	1	`(exp.f64 (*.f64 #s(literal -2 binary64) x))`
29.0%	2	`(*.f64 #s(literal -2 binary64) x)`

Compiler

Compiled 47 to 39 computations (17% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB 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

2 calls:

1.0ms	(*.f64 #s(literal -2 binary64) x)
1.0ms	x

Results

Accuracy	Segments	Branch
27.3%	1	`(*.f64 #s(literal -2 binary64) x)`
27.3%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00011242853608921898	18775512.28339991
0.0ms	-0.6371731231246602	-1.453425629155546e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.00011242853608921898	18775512.28339991
0.0ms	-0.6371731231246602	-1.453425629155546e-13

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.629873266101844e-12	2.0778163118471045e-7

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.629873266101844e-12	2.0778163118471045e-7

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00011242853608921898	18775512.28339991

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch31.0ms (0.4%)

Memory

6.0MiB live, 43.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-2.665144584608871e-151	-2.0918724694899154e-163

Samples

22.0ms

160×

valid

Compiler

Compiled 95 to 95 computations (0% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 6.0ms (36.3% of total)

adjust: 4.0ms (24.2% of total)

ival-div: 2.0ms (12.1% of total)

ival-add: 2.0ms (12.1% of total)

ival-mult: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

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

exact: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Memory

-23.7MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	135
1	64	135
2	69	135
3	76	135

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 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 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 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)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64))
(if (<=.f64 x #s(literal -6642173867685913/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

Outputs
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (expm1.f64 (.f64 x #s(literal -4 binary64)))) (expm1.f64 (.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 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 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal -1/2 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 7378697629483821/36893488147419103232 binary64)) (fma.f64 #s(literal -1/3 binary64) (.f64 x (*.f64 x x)) x) #s(literal -1 binary64)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 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)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 binary64)) (.f64 x #s(literal 2 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)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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)))
(if (<=.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 2 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)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 7378697629483821/36893488147419103232 binary64)) x #s(literal -1 binary64))
(if (<=.f64 x #s(literal -6642173867685913/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
#s(literal -1 binary64)

soundness1.8s (20.6%)

Memory

30.8MiB live, 612.5MiB allocated

Rules

15 342×	`lower-fma.f64`
15 342×	`lower-fma.f32`
8 630×	`lower-fma.f64`
8 630×	`lower-fma.f32`
7 930×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	121
0	47	115
1	228	115
0	1965	111
0	9	28
0	14	28
1	53	28
2	371	28
3	5969	28
0	8136	28
0	96	791
1	257	789
2	670	786
3	2040	780
4	5709	772
0	8353	724
0	210	1316
1	581	1255
2	1674	1238
3	5441	1218
0	8377	1121
0	26	157
0	51	152
1	274	148
0	2193	137
0	49	358
1	119	358
2	234	348
3	604	348
4	1194	348
5	1764	348
6	2024	348
7	2599	348
8	3669	348
9	5745	348
10	6685	348
11	7091	348
12	7233	348
13	7295	348
14	7337	348
0	8101	327

Stop Event

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

Compiler

Compiled 354 to 208 computations (41.2% saved)

preprocess130.0ms (1.5%)

Memory: -34.5MiB live, 132.8MiB allocated
Remove: (abs y)
Compiler: Compiled 368 to 168 computations (54.3% 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%)

sample2.0s (23.3%)

preprocess31.0ms (0.4%)

explain211.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize61.0ms (0.7%)

series4.0ms (0%)

rewrite295.0ms (3.4%)

simplify393.0ms (4.6%)

eval40.0ms (0.5%)

prune50.0ms (0.6%)

simplify69.0ms (0.8%)

localize143.0ms (1.7%)

series11.0ms (0.1%)

rewrite118.0ms (1.4%)

simplify297.0ms (3.5%)

eval108.0ms (1.3%)

prune92.0ms (1.1%)

simplify307.0ms (3.6%)

localize196.0ms (2.3%)

series15.0ms (0.2%)

rewrite163.0ms (1.9%)

simplify376.0ms (4.4%)

eval88.0ms (1%)

prune71.0ms (0.8%)

simplify326.0ms (3.8%)

localize106.0ms (1.2%)

series10.0ms (0.1%)

rewrite310.0ms (3.6%)

simplify240.0ms (2.8%)

eval116.0ms (1.4%)

prune119.0ms (1.4%)

regimes60.0ms (0.7%)

regimes65.0ms (0.8%)

regimes48.0ms (0.6%)

regimes41.0ms (0.5%)

regimes38.0ms (0.4%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch31.0ms (0.4%)

simplify9.0ms (0.1%)

soundness1.8s (20.6%)

preprocess130.0ms (1.5%)

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