Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample738.0ms (10.5%)

Memory

15.8MiB live, 1 106.3MiB allocated

Samples

469.0ms	8 252×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 282.0ms

ival-div: 171.0ms (60.7% of total)

ival-mult: 51.0ms (18.1% of total)

ival-add: 36.0ms (12.8% of total)

exact: 13.0ms (4.6% of total)

ival-true: 7.0ms (2.5% of total)

ival-assert: 3.0ms (1.1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess21.0ms (0.3%)

Memory

-1.1MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`distribute-lft-neg-in`
16×	`sub-neg`
14×	`associate--r+`
14×	`associate-+l-`
14×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	10
2	58	10
3	103	10
4	140	10
5	153	10
6	161	10
0	9	5
0	15	5
1	17	5
0	17	4

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))

explain89.0ms (1.3%)

Memory

12.7MiB live, 176.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 108 binary64)`
-	-	`(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))`
-	-	`#s(literal 841 binary64)`
-	-	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))`
-	-	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
-	-	`#s(literal 29 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

35.0ms

512×

valid

Compiler

Compiled 74 to 40 computations (45.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.6% of total)

ival-mult: 7.0ms (36.4% of total)

ival-add: 2.0ms (10.4% of total)

exact: 1.0ms (5.2% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Compiler

Compiled 10 to 9 computations (10% saved)

simplify9.0ms (0.1%)

Memory

-34.1MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
✓	cost-diff	128	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
✓	cost-diff	704	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
✓	cost-diff	704	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))

Rules

4×	`lift-/.f64`
4×	`lower-fma.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
0	17	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize24.0ms (0.3%)

Memory

35.6MiB live, 35.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 4.0ms (53.7% of total)

ival-mult: 2.0ms (26.9% of total)

ival-add: 1.0ms (13.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))>
#<alt (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))>
#<alt (+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))>
#<alt (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+ (* (/ 841 108) x) (/ 4 29))
0.0ms	x	@	-inf	(* (/ 841 108) x)
0.0ms	x	@	0	(+ (* (/ 841 108) x) (/ 4 29))
0.0ms	x	@	inf	(* (/ 841 108) x)
0.0ms	x	@	0	(* (/ 841 108) x)

rewrite533.0ms (7.6%)

Memory

9.7MiB live, 718.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`lower-fma.f64`
10 628×	`lower-fma.f32`
4 272×	`lower-/.f64`
4 272×	`lower-/.f32`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	157	10
3	1219	10
0	8380	9

Stop Event

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

Counts

4 → 221

Calls

Call 1

Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(-.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 16/841 binary64)) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))) (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))))) (/.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))) (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 x x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (fma.f64 (.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (/.f64 (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 841/16 binary64))) (fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (.f64 #s(literal 841/108 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(literal 841/108 binary64) x) (/.f64 (.f64 #s(literal 841/108 binary64) x) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 #s(literal 707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (+.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (.f64 x #s(literal 29/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (*.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 841/108 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)))

simplify9.0ms (0.1%)

Memory

-23.1MiB live, 15.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`lower-*.f64`
44×	`lower-*.f32`
16×	`lower-fma.f64`
16×	`lower-fma.f32`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)

eval29.0ms (0.4%)

Memory: 20.6MiB live, 61.0MiB allocated
Compiler: Compiled 6 981 to 638 computations (90.9% saved)

prune33.0ms (0.5%)

Memory

5.5MiB live, 82.9MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	234	11	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	235	11	246

Accuracy

100.0%

Counts

246 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.1%	(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
	98.9%	(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
	99.0%	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	74.5%	(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
▶	66.2%	(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶	99.8%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
	74.4%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
	49.9%	(*.f64 #s(literal 841/108 binary64) x)
▶	50.8%	#s(literal 4/29 binary64)

Compiler

Compiled 232 to 172 computations (25.9% saved)

simplify11.0ms (0.2%)

Memory

-21.3MiB live, 16.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 x (.f64 x x))
✓	cost-diff	0	(fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	128	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Rules

72×	`lower-fma.f32`
70×	`lower-*.f32`
64×	`lower-*.f64`
60×	`lower-fma.f64`
44×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	97
0	41	90
1	68	90
2	96	90
3	104	90
0	104	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
#s(literal -4/29 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))
#s(literal 594823321/1259712 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
#s(literal 4/29 binary64)
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal -4/29 binary64)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 (fma.f64 x (.f64 x (.f64 x #s(literal 594823321/1259712 binary64))) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))
(fma.f64 x (.f64 x (.f64 x #s(literal 594823321/1259712 binary64))) #s(literal 64/24389 binary64))
#s(literal 594823321/1259712 binary64)
(.f64 x (.f64 x x))
x
(*.f64 x x)
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)

localize125.0ms (1.8%)

Memory

-42.9MiB live, 151.0MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓	accuracy	67.3%	(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	99.9%	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	74.5%	(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	accuracy	99.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

78.0ms

256×

valid

Compiler

Compiled 111 to 31 computations (72.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

const: 38.0ms (60.5% of total)

ival-mult: 14.0ms (22.3% of total)

ival-add: 6.0ms (9.6% of total)

ival-div: 3.0ms (4.8% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

series7.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))>
#<alt (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))>
#<alt (*.f64 #s(literal 841/108 binary64) x)>
#<alt (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))>
#<alt (*.f64 x x)>
#<alt (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))>
#<alt (/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))>
#<alt (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))>
#<alt (.f64 x (.f64 x x))>
#<alt (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))>
#<alt (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<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 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 64/24389>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (+ 64/24389 (* 594823321/1259712 (pow x 3)))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* 594823321/1259712 (pow x 3))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt -29/27>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (* 707281/11664 x)>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt 16/841>
#<alt (+ 16/841 (* -29/27 x))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (+ (* 594823321/1259712 (* x (* x x))) 64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
1.0ms	x	@	0	(/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))
1.0ms	x	@	inf	(/ (+ (* 594823321/1259712 (* x (* x x))) 64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
0.0ms	x	@	inf	(/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))
0.0ms	x	@	-inf	(/ (+ (* 594823321/1259712 (* x (* x x))) 64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))

rewrite474.0ms (6.7%)

Memory

43.1MiB live, 670.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 406×	`lower-fma.f32`
6 394×	`lower-fma.f64`
4 352×	`lower-*.f32`
4 346×	`lower-*.f64`
3 942×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	76
0	41	52
1	176	52
2	1209	52
0	8983	52

Stop Event

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

Counts

12 → 1 269

Calls

Call 1

Inputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64))
(.f64 x (.f64 x x))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))

Outputs
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 841/108 binary64))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (neg.f64 (/.f64 #s(literal -64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64)))) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))) (+.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (.f64 x #s(literal -841/108 binary64))) (.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) #s(literal 64/24389 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (-.f64 #s(literal 256/707281 binary64) (.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (-.f64 #s(literal 256/707281 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) #s(literal -16/841 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64)) (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) (fma.f64 x #s(literal -29/27 binary64) #s(literal -16/841 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64))) (fma.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 841/729 binary64)) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -29/27 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x (.f64 x x)) #s(literal -24389/19683 binary64))) (fma.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal 29/27 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (fma.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64)))))))
(/.f64 (-.f64 (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)))) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (.f64 (*.f64 x x) #s(literal 707281/11664 binary64))))
(/.f64 (-.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))) (.f64 (.f64 x x) #s(literal 841/729 binary64))) (+.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 x #s(literal 29/27 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (.f64 (.f64 x x) #s(literal 841/729 binary64))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 x #s(literal -29/27 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64)))) (.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))))) (+.f64 (/.f64 (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 1 binary64))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 256/707281 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 256/707281 binary64) (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) (.f64 (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))) #s(literal -16/841 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal -16/841 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (neg.f64 x) #s(literal -16/841 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 4096/594823321 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal 256/707281 binary64)) (.f64 x (*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))))
(.f64 (neg.f64 (fma.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))) #s(literal -256/707281 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (neg.f64 x) #s(literal 16/841 binary64))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64)) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)) (-.f64 (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (.f64 (.f64 (*.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))))))
(.f64 (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))))
(.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 x (.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))))

simplify382.0ms (5.4%)

Memory

-8.3MiB live, 422.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4 424×	`lower-fma.f64`
4 424×	`lower-fma.f32`
3 512×	`lower-/.f32`
3 512×	`lower-/.f64`
2 724×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	656
1	170	656
2	396	652
3	990	652
4	2024	652
5	4244	652
0	8054	565

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(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)
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
-29/27
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 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)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* 594823321/1259712 (pow x 3))
(.f64 x (.f64 x (*.f64 x #s(literal 594823321/1259712 binary64))))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (.f64 x x) (.f64 x #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))

eval676.0ms (9.6%)

Memory: 24.7MiB live, 373.7MiB allocated
Compiler: Compiled 46 230 to 1 821 computations (96.1% saved)

prune90.0ms (1.3%)

Memory

-28.8MiB live, 254.6MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	1 427	4	1 431
Fresh	2	4	6
Picked	2	3	5
Done	0	0	0
Total	1 431	11	1 442

Accuracy

100.0%

Counts

1 442 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
	98.9%	(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	99.0%	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	24.2%	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
	74.5%	(/.f64 (fma.f64 (*.f64 x #s(literal -707281/11664 binary64)) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
	51.3%	(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	99.8%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
▶	49.9%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.8%	#s(literal 4/29 binary64)

Compiler

Compiled 199 to 147 computations (26.1% saved)

simplify15.0ms (0.2%)

Memory

4.1MiB live, 42.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	1920	(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
✓	cost-diff	5824	(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -841/108 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))

Rules

152×	`lower-*.f32`
144×	`lower-*.f64`
64×	`lower-fma.f32`
62×	`associate-l`
52×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	125
0	46	112
1	74	112
2	97	112
3	116	112
4	122	112
5	165	112
6	178	112
7	190	112
0	190	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 841/108 binary64)
x
#s(literal 1/2 binary64)
#s(literal 4/29 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
(/.f64 (fma.f64 x (.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
#s(literal 16/841 binary64)
(*.f64 x #s(literal -841/108 binary64))
#s(literal -841/108 binary64)
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x #s(literal 841/108 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
#s(literal 841/108 binary64)
x
#s(literal 1/2 binary64)
#s(literal 4/29 binary64)

localize211.0ms (3%)

Memory

-10.0MiB live, 165.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))
✓	accuracy	99.9%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.8%	(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
✓	accuracy	99.9%	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.8%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	99.4%	(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	99.9%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	86.6%	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.9%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))

Samples

38.0ms	134×	0	valid
33.0ms	122×	0	invalid

Compiler

Compiled 140 to 32 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

const: 22.0ms (43.3% of total)

ival-mult: 12.0ms (23.6% of total)

ival-div: 8.0ms (15.8% of total)

ival-add: 6.0ms (11.8% of total)

ival-sqrt: 2.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))>
#<alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))>
#<alt (*.f64 #s(literal 841/108 binary64) x)>
#<alt (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal -841/108 binary64))>
#<alt (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))>
#<alt (fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))>
#<alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 29/4>
#<alt (+ 29/4 (* -707281/1728 x))>
#<alt (+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))>
#<alt (+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))>
#<alt (/ 108/841 x)>
#<alt (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)>
#<alt (/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)>
#<alt (/ 108/841 x)>
#<alt (* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ -1728/707281 x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (/ (- (* 841/108 (pow x 2)) 1728/707281) x)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt (* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<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 (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* (sqrt x) (sqrt 841/108))>
#<alt (* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))>
#<alt (* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))>
#<alt 4/29>
#<alt (+ 4/29 (* x (pow (sqrt 841/108) 2)))>
#<alt (+ 4/29 (* x (pow (sqrt 841/108) 2)))>
#<alt (+ 4/29 (* x (pow (sqrt 841/108) 2)))>
#<alt (* x (pow (sqrt 841/108) 2))>
#<alt (* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))>
#<alt (* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))>
#<alt (* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))>
#<alt (* -1 (* x (pow (sqrt -841/108) 2)))>
#<alt (* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ (* (pow (* 841/108 x) 1/2) (pow (* 841/108 x) 1/2)) 4/29)
1.0ms	x	@	inf	(/ (+ (* (* x x) -707281/11664) 16/841) (* x -841/108))
1.0ms	x	@	0	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms	x	@	inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms	x	@	-inf	(+ (* x (/ (* x 707281/11664) (+ (* 841/108 x) -4/29))) (/ 16/841 (+ (* x -841/108) 4/29)))

rewrite371.0ms (5.3%)

Memory

-29.7MiB live, 616.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 114×	`lower-fma.f32`
5 102×	`lower-fma.f64`
4 470×	`lower-/.f32`
4 460×	`lower-/.f64`
3 914×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	97
0	46	72
1	202	72
2	1399	72
0	8541	72

Stop Event

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

Counts

15 → 1 712

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 #s(literal 841/108 binary64) x)
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(*.f64 x x)
(*.f64 x #s(literal -841/108 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Outputs
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 841/108 binary64))))
(+.f64 #s(literal 4/29 binary64) (.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 11664/707281 binary64))))
(+.f64 (/.f64 (.f64 x x) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 11664/707281 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (neg.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x #s(literal 841/108 binary64))) #s(literal 4/29 binary64))
(+.f64 (.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64)) #s(literal 4/29 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
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(.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -353814783205469041/1586874322944 binary64)) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))))
(.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -353814783205469041/1586874322944 binary64)) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))))
(.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
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(*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64))
(.f64 (+.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(.f64 (fma.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(.f64 (fma.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal -353814783205469041/1586874322944 binary64)) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))))
(.f64 (neg.f64 (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64)))))))
(.f64 (neg.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 256/707281 binary64) (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (*.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 x #s(literal 29/27 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(.f64 (pow.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 29/27 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(pow.f64 (*.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))

simplify294.0ms (4.2%)

Memory

2.8MiB live, 435.5MiB allocated

Algorithm

1×	egg-herbie

Rules

9 128×	`lower-fma.f64`
9 128×	`lower-fma.f32`
3 104×	`lower-*.f64`
3 104×	`lower-*.f32`
1 970×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	970
1	508	958
2	1127	952
3	2426	930
4	5316	922
0	8160	839

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
29/4
(+ 29/4 (* -707281/1728 x))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(/ 108/841 x)
(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/ 108/841 x)
(* -1 (/ (- (* 46656/20511149 (/ 1 x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(/ -1728/707281 x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(* 841/108 x)
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(* 841/108 x)
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(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)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* (sqrt x) (sqrt 841/108))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
4/29
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(* x (pow (sqrt 841/108) 2))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(* -1 (* x (pow (sqrt -841/108) 2)))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 x #s(literal -707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(/ 108/841 x)
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(/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (* 46656/20511149 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x)) x)
(/ (- (+ 108/841 (/ 20155392/500246412961 (pow x 2))) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
(/ 108/841 x)
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(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal -46656/20511149 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 20155392/500246412961 (/ 1 x)) 46656/20511149) x)) 108/841) x))
(/.f64 (-.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal -20155392/500246412961 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8707129344/12200509765705829 (/ 1 x)) 20155392/500246412961) x)) 46656/20511149) x)) 108/841) x))
(/.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal -8707129344/12200509765705829 binary64) x)) x) #s(literal -46656/20511149 binary64)) x)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
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(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(/ (- (* 841/108 (pow x 2)) 1728/707281) x)
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* x (- 841/108 (* 1728/707281 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
(* -1 (* x (- (* 1728/707281 (/ 1 (pow x 2))) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x (/.f64 #s(literal -1728/707281 binary64) x))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal -707281/11664 binary64)))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 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)
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 x #s(literal -20511149/46656 binary64))
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 x (fma.f64 x #s(literal -500246412961/20155392 binary64) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -297558232675799463481/3761479876608 binary64) #s(literal -12200509765705829/8707129344 binary64)) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) #s(literal 841/108 binary64))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
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(* 707281/11664 x)
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(* 707281/11664 x)
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(* 707281/11664 x)
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(* 707281/11664 x)
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(* 707281/11664 x)
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(* 707281/11664 x)
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-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
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(* 841/108 x)
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(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
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(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* (sqrt x) (sqrt 841/108))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 841/108 binary64)))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -841/108 binary64)))))
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(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -841/108 binary64)))))
(* -1 (* (sqrt x) (* (sqrt -841/108) (sqrt -1))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (sqrt.f64 #s(literal -841/108 binary64)))))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (pow (sqrt 841/108) 2))
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ (* 4/29 (/ 1 x)) (pow (sqrt 841/108) 2)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (pow (sqrt -841/108) 2)))
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (pow (sqrt -841/108) 2) (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)

eval290.0ms (4.1%)

Memory: 52.1MiB live, 550.2MiB allocated
Compiler: Compiled 49 032 to 3 191 computations (93.5% saved)

prune557.0ms (7.9%)

Memory

-21.7MiB live, 354.3MiB allocated

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	2 082	5	2 087
Fresh	1	2	3
Picked	4	1	5
Done	0	3	3
Total	2 087	11	2 098

Accuracy

100.0%

Counts

2 098 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	96.3%	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	49.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
▶	51.3%	(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	99.8%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
	25.4%	(.f64 (sqrt.f64 (.f64 x #s(literal 707281/11664 binary64))) (sqrt.f64 x))
	25.7%	(.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
✓	49.9%	(*.f64 #s(literal 841/108 binary64) x)
▶	14.0%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
✓	50.8%	#s(literal 4/29 binary64)

Compiler

Compiled 157 to 116 computations (26.1% saved)

simplify12.0ms (0.2%)

Memory

-23.9MiB live, 15.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	cost-diff	0	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	cost-diff	0	(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓	cost-diff	0	(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓	cost-diff	0	(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
✓	cost-diff	0	(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
✓	cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))

Rules

84×	`lower-fma.f32`
72×	`lower-fma.f64`
58×	`lower-*.f32`
52×	`lower-*.f64`
44×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	129
0	48	127
1	77	127
2	104	127
3	113	127
0	113	127

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
x
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(literal 4/29 binary64)

Outputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
x
#s(literal 707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
#s(literal 16/841 binary64)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(sqrt.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(*.f64 x x)
x
#s(literal 707281/11664 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(*.f64 x #s(literal 841/108 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 108/841 binary64) x)
#s(literal 108/841 binary64)
x
(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
#s(literal 64/24389 binary64)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
x
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
#s(literal 707281/11664 binary64)
#s(literal -29/27 binary64)
#s(literal 16/841 binary64)
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
x
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 x #s(literal 707281/11664 binary64))
#s(literal 707281/11664 binary64)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(literal 4/29 binary64)

localize125.0ms (1.8%)

Memory

14.0MiB live, 246.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	accuracy	99.8%	(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	98.7%	(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	accuracy	99.9%	(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓	accuracy	99.8%	(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
✓	accuracy	48.7%	(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	99.5%	(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
✓	accuracy	99.4%	(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.3%	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Samples

79.0ms	252×	0	valid
3.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 147 to 34 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

const: 29.0ms (45.8% of total)

ival-mult: 14.0ms (22.1% of total)

ival-div: 10.0ms (15.8% of total)

ival-add: 7.0ms (11.1% of total)

ival-sqrt: 2.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#<alt (fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))>
#<alt (*.f64 x #s(literal 707281/11664 binary64))>
#<alt (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))>
#<alt (sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))>
#<alt (.f64 (.f64 x x) #s(literal 707281/11664 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))>
#<alt (/.f64 #s(literal 108/841 binary64) x)>
#<alt (/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))>
#<alt (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))>
#<alt (fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))>
#<alt (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))>
#<alt (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))>

Outputs
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* 707281/11664 x)>
#<alt (* -29/4 x)>
#<alt (* x (- (* -707281/1728 x) 29/4))>
#<alt (* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))>
#<alt (* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))>
#<alt 108/841>
#<alt (+ 108/841 (* 46656/20511149 (/ 1 x)))>
#<alt (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))>
#<alt (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))>
#<alt -4/29>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (- (* 841/108 x) 4/29)>
#<alt (* 841/108 x)>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (- 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* 707281/11664 (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 (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt (/ 108/841 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* -500246412961/20155392 (pow x 2)))))>
#<alt (+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/8707129344 x) 500246412961/20155392)))))>
#<alt (/ 746496/17249876309 (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))>
#<alt (/ (- (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (/ 60183678025728/250246473680347348787521 (pow x 3))) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (+ (* -1 (/ (+ 60183678025728/250246473680347348787521 (* 25999348907114496/6103261246589991489578849669 (/ 1 x))) (pow x 3))) (* 322486272/420707233300201 (/ 1 x)))) (pow x 2))>
#<alt (/ 746496/17249876309 (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* -1 (/ (- (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2))) 322486272/420707233300201) x))) (pow x 2))>
#<alt (/ (+ 746496/17249876309 (* -1 (/ (- (+ (/ 25999348907114496/6103261246589991489578849669 (pow x 3)) (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2)))) 322486272/420707233300201) x))) (pow x 2))>
#<alt 16/841>
#<alt (+ 16/841 (* -29/27 x))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (+ 16/841 (* x (- (* 707281/11664 x) 29/27)))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt (* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))>
#<alt -29/27>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (- (* 707281/11664 x) 29/27)>
#<alt (* 707281/11664 x)>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* x (- 707281/11664 (* 29/27 (/ 1 x))))>
#<alt (* 707281/11664 x)>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt (* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))>
#<alt 4/29>
#<alt (+ 4/29 (* -20511149/46656 (pow x 2)))>
#<alt (+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))>
#<alt (+ 4/29 (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 8/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))>
#<alt (* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 8/29 (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))>
#<alt (* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))>
#<alt (* -20511149/46656 x)>
#<alt (* x (- (* -500246412961/20155392 x) 20511149/46656))>
#<alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))>
#<alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))>
#<alt 841/108>
#<alt (+ 841/108 (* 4/29 (/ 1 x)))>
#<alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))>
#<alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))>
#<alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)>
#<alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)>
#<alt (/ -1728/707281 x)>
#<alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))>

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 108/841 x)
0.0ms	x	@	inf	(/ 64/24389 (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
0.0ms	x	@	-inf	(/ 108/841 x)
0.0ms	x	@	-inf	(/ 64/24389 (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
0.0ms	x	@	inf	(/ 108/841 x)

rewrite383.0ms (5.4%)

Memory

-4.0MiB live, 512.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 644×	`lower-fma.f32`
5 632×	`lower-fma.f64`
4 282×	`lower-/.f32`
4 270×	`lower-/.f64`
4 126×	`lower-*.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	96
0	48	97
1	203	93
2	1568	91
0	8078	91

Stop Event

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

Counts

15 → 820

Calls

Call 1

Inputs
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 x #s(literal 707281/11664 binary64))
(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 108/841 binary64) x)
(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Outputs
(+.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))) (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))) (/.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))))
(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) #s(literal 707281/11664 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (.f64 x #s(literal -29/27 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (.f64 x #s(literal -29/27 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) (/.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
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(.f64 (/.f64 x (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 x (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 #s(literal 707281/11664 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal 16/841 binary64) (neg.f64 (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) #s(literal 16/841 binary64))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 #s(literal 707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))

simplify628.0ms (8.9%)

Memory

-21.3MiB live, 355.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 684×	`lower-fma.f64`
8 684×	`lower-fma.f32`
2 998×	`lower-*.f64`
2 998×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1048
1	630	1041
2	1448	1018
3	3114	1010
4	6616	998
0	8159	918

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* -29/4 x)
(* x (- (* -707281/1728 x) 29/4))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
108/841
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (pow x 2))
(* 707281/11664 (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)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
(/ 108/841 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* -500246412961/20155392 (pow x 2)))))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/8707129344 x) 500246412961/20155392)))))
(/ 746496/17249876309 (pow x 2))
(/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))
(/ (- (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (/ 60183678025728/250246473680347348787521 (pow x 3))) (pow x 2))
(/ (+ 746496/17249876309 (+ (* -1 (/ (+ 60183678025728/250246473680347348787521 (* 25999348907114496/6103261246589991489578849669 (/ 1 x))) (pow x 3))) (* 322486272/420707233300201 (/ 1 x)))) (pow x 2))
(/ 746496/17249876309 (pow x 2))
(/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))
(/ (+ 746496/17249876309 (* -1 (/ (- (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2))) 322486272/420707233300201) x))) (pow x 2))
(/ (+ 746496/17249876309 (* -1 (/ (- (+ (/ 25999348907114496/6103261246589991489578849669 (pow x 3)) (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2)))) 322486272/420707233300201) x))) (pow x 2))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
-29/27
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(- (* 707281/11664 x) 29/27)
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
4/29
(+ 4/29 (* -20511149/46656 (pow x 2)))
(+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))
(+ 4/29 (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)))
(* 841/108 x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(* 841/108 x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -29/4 x)
(*.f64 x #s(literal -29/4 binary64))
(* x (- (* -707281/1728 x) 29/4))
(*.f64 x (fma.f64 x #s(literal -707281/1728 binary64) #s(literal -29/4 binary64)))
(* x (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
(* x (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal -17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal -29/4 binary64)))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3))))))
(+.f64 #s(literal 108/841 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) (.f64 x x))) (/.f64 #s(literal 20155392/500246412961 binary64) (.f64 x x))))
108/841
#s(literal 108/841 binary64)
(+ 108/841 (* 46656/20511149 (/ 1 x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x))))
(+.f64 (+.f64 #s(literal 108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x)) (/.f64 #s(literal 20155392/500246412961 binary64) (*.f64 x x)))
(+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x)))
(+.f64 #s(literal 108/841 binary64) (/.f64 (+.f64 #s(literal 46656/20511149 binary64) (/.f64 (+.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* -841/108 x)
(*.f64 x #s(literal -841/108 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 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)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* -500246412961/20155392 (pow x 2)))))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -500246412961/20155392 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* (pow x 2) (- (* -12200509765705829/8707129344 x) 500246412961/20155392)))))
(fma.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ 746496/17249876309 (pow x 2))
(/.f64 #s(literal 746496/17249876309 binary64) (*.f64 x x))
(/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) (*.f64 x x))
(/ (- (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (/ 60183678025728/250246473680347348787521 (pow x 3))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal -60183678025728/250246473680347348787521 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 746496/17249876309 (+ (* -1 (/ (+ 60183678025728/250246473680347348787521 (* 25999348907114496/6103261246589991489578849669 (/ 1 x))) (pow x 3))) (* 322486272/420707233300201 (/ 1 x)))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 (+.f64 #s(literal -60183678025728/250246473680347348787521 binary64) (/.f64 #s(literal -25999348907114496/6103261246589991489578849669 binary64) x)) (.f64 x x))) x)) (.f64 x x))
(/ 746496/17249876309 (pow x 2))
(/.f64 #s(literal 746496/17249876309 binary64) (*.f64 x x))
(/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 #s(literal 322486272/420707233300201 binary64) x)) (*.f64 x x))
(/ (+ 746496/17249876309 (* -1 (/ (- (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2))) 322486272/420707233300201) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal -60183678025728/250246473680347348787521 binary64) (.f64 x x))) x)) (.f64 x x))
(/ (+ 746496/17249876309 (* -1 (/ (- (+ (/ 25999348907114496/6103261246589991489578849669 (pow x 3)) (* 60183678025728/250246473680347348787521 (/ 1 (pow x 2)))) 322486272/420707233300201) x))) (pow x 2))
(/.f64 (+.f64 #s(literal 746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 (+.f64 #s(literal -60183678025728/250246473680347348787521 binary64) (/.f64 #s(literal -25999348907114496/6103261246589991489578849669 binary64) x)) (.f64 x x))) x)) (.f64 x x))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* 707281/11664 (pow x 2))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -20511149/46656 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -20511149/46656 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))
(fma.f64 x (*.f64 x (fma.f64 x #s(literal -500246412961/20155392 binary64) #s(literal -20511149/46656 binary64))) #s(literal 4/29 binary64))
(+ 4/29 (* (pow x 2) (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 8/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))
(fma.f64 #s(literal 841/108 binary64) x (+.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal 8/29 binary64)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(+.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 8/29 binary64)) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 8/29 binary64))
(* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x (+.f64 (/.f64 #s(literal 1728/707281 binary64) x) #s(literal 8/29 binary64)))
(* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(+.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 8/29 binary64)) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x))
(* -20511149/46656 x)
(*.f64 x #s(literal -20511149/46656 binary64))
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 x (fma.f64 x #s(literal -500246412961/20155392 binary64) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal -12200509765705829/8707129344 binary64) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -297558232675799463481/3761479876608 binary64) #s(literal -12200509765705829/8707129344 binary64)) #s(literal -500246412961/20155392 binary64)) #s(literal -20511149/46656 binary64)))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)) #s(literal 841/108 binary64))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(+.f64 #s(literal 841/108 binary64) (/.f64 (+.f64 #s(literal 4/29 binary64) (/.f64 (+.f64 #s(literal 1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)) x))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 x (fma.f64 x #s(literal 20511149/46656 binary64) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 500246412961/20155392 binary64) #s(literal 20511149/46656 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal -746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 #s(literal -746496/17249876309 binary64) (/.f64 #s(literal -322486272/420707233300201 binary64) x)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (+.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 #s(literal 322486272/420707233300201 binary64) (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x)) x)) x)) x)

eval193.0ms (2.7%)

Memory: 38.7MiB live, 268.4MiB allocated
Compiler: Compiled 21 543 to 2 345 computations (89.1% saved)

prune432.0ms (6.1%)

Memory

-14.9MiB live, 145.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 078	2	1 080
Fresh	2	0	2
Picked	5	0	5
Done	0	4	4
Total	1 085	6	1 091

Accuracy

100.0%

Counts

1 091 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(fma.f64 x (fma.f64 x (*.f64 x #s(literal -500246412961/20155392 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	49.8%	(/.f64 x #s(literal 108/841 binary64))
✓	99.8%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	49.9%	(*.f64 #s(literal 841/108 binary64) x)
✓	50.8%	#s(literal 4/29 binary64)

Compiler

Compiled 234 to 96 computations (59% saved)

regimes46.0ms (0.7%)

Memory

-20.5MiB live, 23.4MiB allocated

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
(/.f64 x #s(literal 108/841 binary64))
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -500246412961/20155392 binary64)) #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 64/24389 binary64) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 x #s(literal -707281/11664 binary64)) x #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
(.f64 (sqrt.f64 (.f64 x #s(literal 707281/11664 binary64))) (sqrt.f64 x))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (sqrt.f64 (.f64 x #s(literal 841/108 binary64))) (sqrt.f64 (*.f64 x #s(literal 841/108 binary64))))
(/.f64 (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal 64/24389 binary64)) (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1/2 binary64)) #s(literal 4/29 binary64))

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

32.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
7.0ms	x
6.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)

Outputs
(*.f64 #s(literal 841/108 binary64) x)
#s(literal 4/29 binary64)
(*.f64 #s(literal 841/108 binary64) x)

Calls

3 calls:

2.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	x
1.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
97.1%	3	`x`
97.1%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.1%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 4/29 binary64)

Outputs
#s(literal 4/29 binary64)

Calls

3 calls:

1.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	x
1.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
50.8%	1	`x`
50.8%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
50.8%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005199574075111398	0.26943766666207175
0.0ms	-1033364.2108402961	-0.0007245781416248576

Compiler

Compiled 13 to 13 computations (0% saved)

simplify6.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	17	28

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -1000000 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))

#s(literal 4/29 binary64)

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -1000000 binary64)) (.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x)))
(if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal -1000000 binary64)) (.f64 x #s(literal 841/108 binary64)) (if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 5764607523034235/576460752303423488 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
#s(literal 4/29 binary64)

soundness163.0ms (2.3%)

Memory

-29.1MiB live, 140.0MiB allocated

Rules

10 628×	`lower-fma.f64`
10 628×	`lower-fma.f32`
4 272×	`lower-/.f64`
4 272×	`lower-/.f32`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79
0	9	10
0	15	10
1	32	10
2	157	10
3	1219	10
0	8380	9

Stop Event

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

Compiler

Compiled 56 to 34 computations (39.3% saved)

preprocess37.0ms (0.5%)

Memory: 27.6MiB live, 65.5MiB allocated
Compiler: Compiled 78 to 48 computations (38.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	125
0	46	112
1	74	112
2	97	112
3	116	112
4	122	112
5	165	112
6	178	112
7	190	112
0	190	112

Iter	Nodes	Cost
0	26	125
0	46	112
1	74	112
2	97	112
3	116	112
4	122	112
5	165	112
6	178	112
7	190	112
0	190	112

analyze0.0ms (0%)

sample738.0ms (10.5%)

preprocess21.0ms (0.3%)

explain89.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify9.0ms (0.1%)

localize24.0ms (0.3%)

series2.0ms (0%)

rewrite533.0ms (7.6%)

simplify9.0ms (0.1%)

eval29.0ms (0.4%)

prune33.0ms (0.5%)

simplify11.0ms (0.2%)

localize125.0ms (1.8%)

series7.0ms (0.1%)

rewrite474.0ms (6.7%)

simplify382.0ms (5.4%)

eval676.0ms (9.6%)

prune90.0ms (1.3%)

simplify15.0ms (0.2%)

localize211.0ms (3%)

series13.0ms (0.2%)

rewrite371.0ms (5.3%)

simplify294.0ms (4.2%)

eval290.0ms (4.1%)

prune557.0ms (7.9%)

simplify12.0ms (0.2%)

localize125.0ms (1.8%)

series5.0ms (0.1%)

rewrite383.0ms (5.4%)

simplify628.0ms (8.9%)

eval193.0ms (2.7%)

prune432.0ms (6.1%)

regimes46.0ms (0.7%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness163.0ms (2.3%)

preprocess37.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	125
0	46	112
1	74	112
2	97	112
3	116	112
4	122	112
5	165	112
6	178	112
7	190	112
0	190	112