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

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample747.0ms (11.8%)

Memory

0.6MiB live, 1 235.3MiB allocated

Samples

548.0ms	8 254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 300.0ms

ival-div: 161.0ms (53.7% of total)

ival-mult: 72.0ms (24% of total)

ival-add: 44.0ms (14.7% of total)

exact: 13.0ms (4.3% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess17.0ms (0.3%)

Memory

-15.0MiB live, 23.7MiB allocated

Algorithm

2×	egg-herbie

Rules

28×	`distribute-lft-neg-in`
26×	`sub-neg`
20×	`associate--r+`
18×	`associate-+l-`
18×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(+ (* (/ 841 108) x) (/ 4 29))
(+ (* 841/108 x) 4/29)
(+ (* (/ 841 108) (neg x)) (/ 4 29))
(- 4/29 (* 841/108 x))
(neg (+ (* (/ 841 108) (neg x)) (/ 4 29)))
(+ (* 841/108 x) -4/29)

explain79.0ms (1.3%)

Memory

15.5MiB live, 173.6MiB 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

28.0ms

512×

valid

Compiler

Compiled 74 to 40 computations (45.9% saved)

Precisions

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

ival-div: 7.0ms (47.2% of total)

ival-add: 3.0ms (20.2% of total)

ival-mult: 3.0ms (20.2% of total)

exact: 1.0ms (6.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.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)

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
0	13	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

-4.1MiB live, 34.7MiB 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	99.8%	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

44.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 34.0ms (90.7% of total)

ival-mult: 2.0ms (5.3% of total)

ival-add: 1.0ms (2.7% 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

2.5MiB live, 2.5MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
#<alt (/ 841 108)>
#<alt (/ 4 29)>
#<alt (+ (* (/ 841 108) x) (/ 4 29))>
#<alt (* (/ 841 108) 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	@	-inf	(* (/ 841 108) x)
0.0ms	x	@	0	(+ (* (/ 841 108) x) (/ 4 29))
0.0ms	x	@	0	(* (/ 841 108) x)

rewrite491.0ms (7.8%)

Memory

-16.1MiB live, 731.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`accelerator-lowering-fma.f32`
10 628×	`accelerator-lowering-fma.f64`
4 272×	`/-lowering-/.f32`
4 272×	`/-lowering-/.f64`
4 234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	28	10
2	153	10
3	1212	10
0	8411	9

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 221

Calls

Call 1

Inputs
(/ 841 108)
(/ 4 29)
(+ (* (/ 841 108) x) (/ 4 29))
(* (/ 841 108) 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 x (.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 #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 #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 x (.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 #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 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 (.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) (-.f64 #s(literal 0 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 -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 x (.f64 x #s(literal 707281/11664 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)) (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 x (.f64 x #s(literal 707281/11664 binary64))) (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 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 x (.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 (/.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 (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 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 x (*.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 (.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 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))))) (/.f64 (/.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #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 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 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 #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 #s(literal 841/108 binary64) x) (.f64 #s(literal -841/108 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 (.f64 x #s(literal 707281/11664 binary64))) (/.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 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 x (.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))))
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(.f64 (/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #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 x (.f64 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 #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 #s(literal 353814783205469041/1586874322944 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 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 #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 #s(literal 353814783205469041/1586874322944 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 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 #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)))) (-.f64 #s(literal 0 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)) (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 x (.f64 x #s(literal 707281/11664 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 #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 (.f64 x x) #s(literal -707281/11664 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 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (-.f64 #s(literal 0 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 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 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 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 x (.f64 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)) (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 x (.f64 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 #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)))

simplify8.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
16×	`accelerator-lowering-fma.f32`
16×	`accelerator-lowering-fma.f64`
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)

eval31.0ms (0.5%)

Memory: -11.8MiB live, 63.2MiB allocated
Compiler: Compiled 7 002 to 639 computations (90.9% saved)

prune37.0ms (0.6%)

Memory

18.3MiB live, 74.6MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	237	8	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	8	246

Accuracy

100.0%

Counts

246 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	75.3%	(/.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)))
	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)))
▶	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))))
▶	75.4%	(.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))))
	56.7%	(*.f64 #s(literal 841/108 binary64) x)
▶	43.6%	#s(literal 4/29 binary64)

Compiler

Compiled 160 to 116 computations (27.5% saved)

simplify12.0ms (0.2%)

Memory

-13.6MiB live, 24.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	1088	(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))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (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	320	(.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))))
✓	cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.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

146×	`-lowering-.f32`
146×	`-lowering-.f64`
60×	`accelerator-lowering-fma.f32`
60×	`accelerator-lowering-fma.f64`
52×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
1	46	117
2	81	117
3	131	117
4	168	117
5	186	117
0	186	102

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* x 841/108) 4/29)
x
841/108
4/29
4/29
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
1
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
841/108
x
4/29
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))
(+ (* (* x x) -707281/11664) 16/841)
(* x x)
x
-707281/11664
16/841
(/ 1 (+ (* x -841/108) 4/29))
1
(+ (* x -841/108) 4/29)
-841/108
4/29
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
x
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
-707281/11664
(/ x (+ (* x -841/108) 4/29))
(+ (* x -841/108) 4/29)
-841/108
4/29
(/ 16/841 (+ (* x -841/108) 4/29))
16/841

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

localize187.0ms (3%)

Memory

-6.4MiB live, 148.4MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(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))))
✓	accuracy	99.8%	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.5%	(/.f64 x (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)))
✓	accuracy	99.9%	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	75.8%	(.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))))
✓	accuracy	99.9%	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓	accuracy	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))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

55.0ms	253×	0	valid
1.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 115 to 27 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 14.0ms (33.7% of total)

ival-mult: 13.0ms (31.3% of total)

ival-div: 8.0ms (19.2% of total)

ival-add: 5.0ms (12% 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)

series10.0ms (0.2%)

Memory

21.0MiB live, 21.0MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#<alt (+ (* x 841/108) 4/29)>
#<alt (/ 1 (/ 1 (+ (* 841/108 x) 4/29)))>
#<alt (/ 1 (+ (* 841/108 x) 4/29))>
#<alt (+ (* 841/108 x) 4/29)>
#<alt (* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))>
#<alt (+ (* (* x x) -707281/11664) 16/841)>
#<alt (* x x)>
#<alt (/ 1 (+ (* x -841/108) 4/29))>
#<alt (+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))>
#<alt (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))>
#<alt (/ x (+ (* x -841/108) 4/29))>
#<alt (+ (* x -841/108) 4/29)>
#<alt (/ 16/841 (+ (* x -841/108) 4/29))>

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 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 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 29/4>
#<alt (+ 29/4 (* 707281/1728 x))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))>
#<alt (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) x)>
#<alt (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x)))) x)>
#<alt (/ -108/841 x)>
#<alt (* -1 (/ (+ 108/841 (* 46656/20511149 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))) x))>
#<alt (* -1 (/ (+ 108/841 (* -1 (/ (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x)) 46656/20511149) x))) 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 (* 29/4 x)>
#<alt (* x (+ 29/4 (* 707281/1728 x)))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)>
#<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 (* 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

39 calls:

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

rewrite1.2s (18.5%)

Memory

-17.1MiB live, 1 028.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 598×	`accelerator-lowering-fma.f32`
11 598×	`accelerator-lowering-fma.f64`
5 988×	`-lowering-.f32`
5 988×	`-lowering-.f64`
2 652×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	77
1	143	77
2	1009	77
0	8880	65

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 743

Calls

Call 1

Inputs
(+ (* x 841/108) 4/29)
(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
(/ 1 (+ (* 841/108 x) 4/29))
(+ (* 841/108 x) 4/29)
(* (+ (* (* x x) -707281/11664) 16/841) (/ 1 (+ (* x -841/108) 4/29)))
(+ (* (* x x) -707281/11664) 16/841)
(* x x)
(/ 1 (+ (* x -841/108) 4/29))
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
(/ x (+ (* x -841/108) 4/29))
(+ (* x -841/108) 4/29)
(/ 16/841 (+ (* x -841/108) 4/29))

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

simplify517.0ms (8.2%)

Memory

11.7MiB live, 655.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 900×	`accelerator-lowering-fma.f32`
8 900×	`accelerator-lowering-fma.f64`
3 234×	`-lowering-.f32`
3 234×	`-lowering-.f64`
2 174×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	958
1	587	933
2	1294	918
3	2650	914
4	5839	914
0	8397	821

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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

eval393.0ms (6.2%)

Memory: 22.7MiB live, 557.4MiB allocated
Compiler: Compiled 54 667 to 2 694 computations (95.1% saved)

prune307.0ms (4.9%)

Memory

-10.0MiB live, 429.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 018	3	2 021
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	2 022	7	2 029

Accuracy

100.0%

Counts

2 029 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 x (*.f64 #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))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	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)))
▶	56.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
▶	32.6%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal -108/841 binary64) x))
▶	56.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	43.6%	#s(literal 4/29 binary64)

Compiler

Compiled 107 to 78 computations (27.1% saved)

simplify208.0ms (3.3%)

Memory

3.5MiB live, 273.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 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	(/.f64 #s(literal -108/841 binary64) x)
✓	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	640	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal -108/841 binary64) x))
✓	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 #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 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(fma.f64 x (*.f64 #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))

Rules

4 694×	`/-lowering-/.f32`
4 694×	`/-lowering-/.f64`
4 242×	`-lowering-.f32`
4 242×	`-lowering-.f64`
2 344×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	130
1	71	130
2	119	130
3	167	128
4	217	128
5	259	126
6	317	126
7	450	126
8	1014	126
9	2163	126
10	2393	126
11	2565	126
12	2727	126
13	2940	126
14	3219	126
15	6933	126
0	8180	112

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) 4/29)
(fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
x
(* -707281/11664 (/ x (+ (* x -841/108) 4/29)))
(*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
-707281/11664
#s(literal -707281/11664 binary64)
(/ x (+ (* x -841/108) 4/29))
(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(+ (* x -841/108) 4/29)
(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
-841/108
#s(literal -841/108 binary64)
4/29
#s(literal 4/29 binary64)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
841/108
#s(literal 841/108 binary64)
x
(/ 1 (/ 108/841 x))
(*.f64 x #s(literal 841/108 binary64))
1
#s(literal 1 binary64)
(/ 108/841 x)
(/.f64 #s(literal 108/841 binary64) x)
108/841
#s(literal 108/841 binary64)
x
(* (+ (* (* x x) -707281/11664) 16/841) (/ -108/841 x))
(fma.f64 x #s(literal 841/108 binary64) (/.f64 #s(literal -1728/707281 binary64) x))
(+ (* (* x x) -707281/11664) 16/841)
(fma.f64 x (*.f64 x #s(literal -707281/11664 binary64)) #s(literal 16/841 binary64))
(* x x)
(*.f64 x x)
x
-707281/11664
#s(literal -707281/11664 binary64)
16/841
#s(literal 16/841 binary64)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
-108/841
#s(literal -108/841 binary64)
(/ (+ (* 594823321/1259712 (* x (* x x))) 64/24389) (+ (* x (+ (* x 707281/11664) -29/27)) 16/841))
(/.f64 (fma.f64 x (.f64 (.f64 x 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)))
(+ (* 594823321/1259712 (* x (* x x))) 64/24389)
(fma.f64 x (.f64 (.f64 x x) #s(literal 594823321/1259712 binary64)) #s(literal 64/24389 binary64))
594823321/1259712
#s(literal 594823321/1259712 binary64)
(* x (* x x))
(.f64 x (.f64 x x))
x
(* x x)
(*.f64 x x)
64/24389
#s(literal 64/24389 binary64)
(+ (* x (+ (* x 707281/11664) -29/27)) 16/841)
(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
(+ (* x 707281/11664) -29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
707281/11664
#s(literal 707281/11664 binary64)
-29/27
#s(literal -29/27 binary64)
16/841
#s(literal 16/841 binary64)

localize198.0ms (3.1%)

Memory

-41.0MiB live, 199.0MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
✓	accuracy	68.4%	(/.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	99.8%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal -108/841 binary64) x)
✓	accuracy	75.5%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal -108/841 binary64) x))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)
✓	accuracy	99.8%	(*.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%	(fma.f64 x (*.f64 #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))
✓	accuracy	99.8%	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.5%	(/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))

Samples

160.0ms	253×	0	valid
1.0ms	2×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-add: 86.0ms (59.3% of total)

const: 33.0ms (22.7% of total)

ival-mult: 16.0ms (11% of total)

ival-div: 8.0ms (5.5% 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)

series8.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

16 → 192

Calls

Call 1

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

Outputs
#<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 (* 29/4 x)>
#<alt (* x (+ 29/4 (* 707281/1728 x)))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))>
#<alt (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt -108/841>
#<alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)>
#<alt (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)>
#<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 (* 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 (* 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 (/ -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 (/ -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 (* 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

48 calls:

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

rewrite395.0ms (6.3%)

Memory

-7.8MiB live, 576.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 652×	`/-lowering-/.f32`
4 652×	`/-lowering-/.f64`
4 302×	`-lowering-.f32`
4 302×	`-lowering-.f64`
3 294×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	108
1	179	108
2	1313	108
0	8292	94

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 706

Calls

Call 1

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

Outputs
(+.f64 #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))) #s(literal 4/29 binary64))
(+.f64 (/.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.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)))) (fma.f64 x (.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -4/29 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.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)))) (fma.f64 x (.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -4/29 binary64))))
(-.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 #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 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.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 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 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal 4/29 binary64))
(fma.f64 #s(literal -707281/11664 binary64) (*.f64 (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) x) #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)) #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)) #s(literal 4/29 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) x #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))) #s(literal 4/29 binary64))
(fma.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x))) (.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) (fma.f64 x (.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x (*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #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))
(fma.f64 (*.f64 x (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) #s(literal -707281/11664 binary64) #s(literal 4/29 binary64))
(fma.f64 (.f64 (.f64 x #s(literal -707281/11664 binary64)) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #s(literal 4/29 binary64))
(fma.f64 (/.f64 (.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 x (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal -29/27 binary64)))))) #s(literal 4/29 binary64))
(fma.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))) #s(literal 4/29 binary64))
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(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 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 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (-.f64 (.f64 (.f64 x #s(literal -29/27 binary64)) (.f64 x #s(literal -29/27 binary64))) (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (.f64 x #s(literal -29/27 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) (.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)))) (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 (.f64 x x) (.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)))) (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) (.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)))) (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 (.f64 x x) (*.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)))) (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 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal 707281/11664 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 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64))))) (.f64 (.f64 x #s(literal -29/27 binary64)) (.f64 x #s(literal -29/27 binary64)))) (-.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (*.f64 x #s(literal -29/27 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x x) (.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)))) (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) (.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)))) (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 (.f64 x x) (*.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)))) (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 #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 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 1 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)))))
(.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 (.f64 x (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 16/841 binary64) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 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) (-.f64 (.f64 (.f64 x x) (.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)))) (.f64 #s(literal 16/841 binary64) (.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))))))
(.f64 (fma.f64 (.f64 x (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 (-.f64 #s(literal 0 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 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (.f64 x (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 16/841 binary64) (*.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))))))))
(.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (.f64 x (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) (-.f64 #s(literal 0 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) (.f64 (.f64 x x) (.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))))) (/.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))))))

simplify476.0ms (7.5%)

Memory

9.3MiB live, 535.7MiB allocated

Algorithm

1×	egg-herbie

Rules

9 750×	`accelerator-lowering-fma.f32`
9 750×	`accelerator-lowering-fma.f64`
3 682×	`-lowering-.f32`
3 682×	`-lowering-.f64`
2 074×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1022
1	517	1020
2	1183	1000
3	2648	974
4	5226	958
0	8264	863

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
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)))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
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)))))
(* 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)
(* 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)
(/ -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)
(/ -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 (* 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 (* -20511149/46656 (pow x 2)))
(fma.f64 #s(literal -20511149/46656 binary64) (*.f64 x x) #s(literal 4/29 binary64))
(+ 4/29 (* (pow x 2) (- (* -500246412961/20155392 x) 20511149/46656)))
(fma.f64 (*.f64 x 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)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 8/29 binary64))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 8/29 (/ 1 x)))))
(fma.f64 x #s(literal 841/108 binary64) (+.f64 #s(literal 8/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* x (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 8/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3)))))))
(fma.f64 x #s(literal 841/108 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1728/707281 binary64) #s(literal 746496/17249876309 binary64)) #s(literal 8/29 binary64)))
(* 841/108 x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))
(* x (+ 841/108 (* 8/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 8/29 binary64))
(* -1 (* x (- (* -1 (/ (+ 8/29 (* 1728/707281 (/ 1 x))) x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) (+.f64 #s(literal 8/29 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(* -1 (* x (- (* -1 (/ (+ 8/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 1728/707281 binary64) #s(literal 746496/17249876309 binary64)) #s(literal 8/29 binary64)))
(* -20511149/46656 x)
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eval185.0ms (2.9%)

Memory: 24.8MiB live, 249.5MiB allocated
Compiler: Compiled 22 843 to 2 289 computations (90% saved)

prune92.0ms (1.5%)

Memory

7.7MiB live, 243.7MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	915	1	916
Fresh	0	0	0
Picked	3	2	5
Done	0	2	2
Total	918	5	923

Accuracy

100.0%

Counts

923 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	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)))
▶	56.6%	(/.f64 x #s(literal 108/841 binary64))
✓	56.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	43.6%	#s(literal 4/29 binary64)

Compiler

Compiled 32 to 24 computations (25% saved)

simplify5.0ms (0.1%)

Memory

-29.1MiB live, 9.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x #s(literal 108/841 binary64))

Rules

2×	`/-lowering-/.f32`
2×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ x 108/841)
x
108/841

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

localize14.0ms (0.2%)

Memory

38.8MiB live, 38.8MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 x #s(literal 108/841 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

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

const: 3.0ms (55.9% of total)

ival-div: 2.0ms (37.3% of total)

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

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

series0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/ x 108/841)>

Outputs
#<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

3 calls:

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

rewrite266.0ms (4.2%)

Memory

-16.4MiB live, 464.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 406×	`accelerator-lowering-fma.f32`
3 406×	`accelerator-lowering-fma.f64`
2 330×	`-lowering-.f32`
2 330×	`-lowering-.f64`
1 942×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	13	3
2	38	3
3	141	3
4	646	3
5	6446	3
0	8369	3

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 341

Calls

Call 1

Inputs
(/ x 108/841)

Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(+.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 707281/11664 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (neg.f64 (.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal -1/2 binary64) (neg.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -108/841 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -108/841 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 707281/11664 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -841/108 binary64) #s(literal 0 binary64))
(fma.f64 x (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 841/108 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -841/108 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 841/108 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -841/108 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 108/841 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -108/841 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -841/108 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 108/841 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -108/841 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 841/108 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal -108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 108/841 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -594823321/1259712 binary64)) (/.f64 #s(literal 11664/707281 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 707281/11664 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 108/841 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -841/108 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
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(.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -108/841 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 108/841 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(.f64 (.f64 #s(literal 841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 #s(literal 841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -841/108 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -841/108 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) x)
(.f64 (.f64 (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) x))
(.f64 (.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (.f64 #s(literal -841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (pow.f64 x #s(literal 1/2 binary64))) (pow.f64 #s(literal 108/841 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) (pow.f64 #s(literal -108/841 binary64) #s(literal -1/2 binary64)))
(.f64 (.f64 (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 108/841 binary64) x)))) (sqrt.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(.f64 (/.f64 (.f64 #s(literal -841/108 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64))) x)

simplify5.0ms (0.1%)

Memory

13.2MiB live, 13.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	36
1	4	36
0	4	36

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

Calls

Call 1

Inputs
(* 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
(* 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)

eval42.0ms (0.7%)

Memory: -11.3MiB live, 101.0MiB allocated
Compiler: Compiled 4 765 to 560 computations (88.2% saved)

prune153.0ms (2.4%)

Memory

-5.0MiB live, 110.3MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	353	0	353
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	353	5	358

Accuracy

100.0%

Counts

358 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	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)))
✓	56.6%	(/.f64 x #s(literal 108/841 binary64))
✓	56.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	43.6%	#s(literal 4/29 binary64)

Compiler

Compiled 143 to 71 computations (50.3% saved)

regimes27.0ms (0.4%)

Memory

-35.5MiB live, 39.5MiB allocated

Counts

13 → 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 x #s(literal 108/841 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #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 x (*.f64 #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))
(+.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 (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 #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))))

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

Calls

3 calls:

18.0ms	x
4.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms	(+.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

10.1MiB live, 10.1MiB 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
96.9%	3	`x`
96.9%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
96.9%	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

9.3MiB live, 9.3MiB 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
43.6%	1	`x`
43.6%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
43.6%	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

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.002715595201723133	2201.645754266058
0.0ms	-224468.0374429896	-0.004924741110504117

Compiler

Compiled 13 to 13 computations (0% saved)

simplify10.0ms (0.2%)

Memory

-19.9MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26

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 -200000 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/1152921504606846976 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 -200000 binary64)) (.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/1152921504606846976 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 -200000 binary64)) (.f64 x #s(literal 841/108 binary64)) (if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 5764607523034235/1152921504606846976 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
#s(literal 4/29 binary64)

soundness121.0ms (1.9%)

Memory

3.2MiB live, 121.9MiB allocated

Rules

10 628×	`accelerator-lowering-fma.f32`
10 628×	`accelerator-lowering-fma.f64`
4 272×	`/-lowering-/.f32`
4 272×	`/-lowering-/.f64`
4 234×	`-lowering-.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	11	10
1	28	10
2	153	10
3	1212	10
0	8411	9

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess29.0ms (0.5%)

Memory: -0.6MiB live, 75.6MiB allocated
Compiler: Compiled 78 to 48 computations (38.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4

analyze0.0ms (0%)

sample747.0ms (11.8%)

preprocess17.0ms (0.3%)

explain79.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize53.0ms (0.8%)

series2.0ms (0%)

rewrite491.0ms (7.8%)

simplify8.0ms (0.1%)

eval31.0ms (0.5%)

prune37.0ms (0.6%)

simplify12.0ms (0.2%)

localize187.0ms (3%)

series10.0ms (0.2%)

rewrite1.2s (18.5%)

simplify517.0ms (8.2%)

eval393.0ms (6.2%)

prune307.0ms (4.9%)

simplify208.0ms (3.3%)

localize198.0ms (3.1%)

series8.0ms (0.1%)

rewrite395.0ms (6.3%)

simplify476.0ms (7.5%)

eval185.0ms (2.9%)

prune92.0ms (1.5%)

simplify5.0ms (0.1%)

localize14.0ms (0.2%)

series0.0ms (0%)

rewrite266.0ms (4.2%)

simplify5.0ms (0.1%)

eval42.0ms (0.7%)

prune153.0ms (2.4%)

regimes27.0ms (0.4%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify10.0ms (0.2%)

soundness121.0ms (1.9%)

preprocess29.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	18
1	30	15
2	59	15
3	104	15
4	148	15
5	173	15
6	188	15
7	193	15
8	195	15
0	11	5
1	13	5
0	13	4