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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample684.0ms (9.8%)

Memory

7.3MiB live, 1 277.6MiB allocated

Samples

471.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 305.0ms

ival-div: 163.0ms (53.4% of total)

ival-add: 66.0ms (21.6% of total)

ival-mult: 55.0ms (18% of total)

exact: 13.0ms (4.3% of total)

ival-true: 6.0ms (2% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

preprocess15.0ms (0.2%)

Memory

30.0MiB live, 30.0MiB 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)

explain168.0ms (2.4%)

Memory

-21.2MiB live, 172.8MiB 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-mult: 3.0ms (20.2% of total)

ival-add: 2.0ms (13.5% of total)

exact: 1.0ms (6.7% of total)

ival-assert: 1.0ms (6.7% of total)

ival-true: 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

1.0MiB live, 1.0MiB 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

4.4MiB live, 4.4MiB 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)

localize27.0ms (0.4%)

Memory

-6.3MiB live, 31.5MiB 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

14.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

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

ival-div: 4.0ms (56.2% of total)

ival-add: 1.0ms (14% of total)

ival-mult: 1.0ms (14% 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

3.1MiB live, 3.1MiB 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)
0.0ms	x	@	0	(+ (* (/ 841 108) x) (/ 4 29))

rewrite911.0ms (13.1%)

Memory

16.0MiB live, 665.2MiB 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) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 353814783205469041/1586874322944 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))) (/.f64 #s(literal 4096/594823321 binary64) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))) (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 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 (.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)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (.f64 x (.f64 x x)) #s(literal -64/24389 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal -16/841 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64)) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 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))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 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)))

simplify12.0ms (0.2%)

Memory

-37.4MiB live, 13.6MiB 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: 9.1MiB live, 46.7MiB allocated
Compiler: Compiled 6 981 to 639 computations (90.8% saved)

prune32.0ms (0.5%)

Memory

12.0MiB live, 89.4MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	236	9	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	237	9	246

Accuracy

100.0%

Counts

246 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	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))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	72.6%	(/.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)))
	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
▶	99.9%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
	72.6%	(.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))))
	55.7%	(*.f64 #s(literal 841/108 binary64) x)
▶	46.1%	#s(literal 4/29 binary64)

Compiler

Compiled 176 to 126 computations (28.4% saved)

simplify9.0ms (0.1%)

Memory

-29.0MiB live, 13.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 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	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)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	cost-diff	0	(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	128	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))

Rules

50×	`-lowering-.f32`
50×	`-lowering-.f64`
32×	`accelerator-lowering-fma.f32`
32×	`accelerator-lowering-fma.f64`
20×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	105
1	38	105
2	51	105
3	57	105
4	60	105
0	60	92

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize113.0ms (1.6%)

Memory

6.9MiB live, 162.6MiB allocated

Localize:

Found 11 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 x (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 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	72.6%	(/.f64 (fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)

Samples

51.0ms	252×	0	valid
1.0ms	3×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

const: 17.0ms (43.4% of total)

ival-mult: 11.0ms (28.1% of total)

ival-add: 6.0ms (15.3% of total)

ival-div: 5.0ms (12.8% of total)

ival-sub: 1.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#<alt (- (* 841/108 x) -4/29)>
#<alt (* 841/108 x)>
#<alt (+ (* x 841/108) 4/29)>
#<alt (/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))>
#<alt (+ (* (* x x) -707281/11664) 16/841)>
#<alt (* x x)>
#<alt (+ (* 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 (/ 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 (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt 16/841>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (+ 16/841 (* -707281/11664 (pow x 2)))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 4/29>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (+ 4/29 (* -841/108 x))>
#<alt (* -841/108 x)>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* x (- (* 4/29 (/ 1 x)) 841/108))>
#<alt (* -841/108 x)>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))>
#<alt 4/29>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (+ 4/29 (* 841/108 x))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* 841/108 x)>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* x (+ 841/108 (* 4/29 (/ 1 x))))>
#<alt (* -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 (* 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

33 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	@	0	(+ (* 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 x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))
0.0ms	x	@	inf	(/ (+ (* (* x x) -707281/11664) 16/841) (+ (* x -841/108) 4/29))

rewrite645.0ms (9.3%)

Memory

-100.5MiB live, 797.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 744×	`accelerator-lowering-fma.f32`
11 744×	`accelerator-lowering-fma.f64`
5 850×	`-lowering-.f32`
5 850×	`-lowering-.f64`
3 206×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	127	61
2	946	61
0	8808	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 249

Calls

Call 1

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

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

simplify406.0ms (5.8%)

Memory

-5.4MiB live, 590.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 352×	`accelerator-lowering-fma.f32`
10 352×	`accelerator-lowering-fma.f64`
2 934×	`-lowering-.f32`
2 934×	`-lowering-.f64`
2 890×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	722
1	410	716
2	887	706
3	1707	706
4	3166	694
5	6367	694
0	8529	622

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval241.0ms (3.5%)

Memory: 40.2MiB live, 385.8MiB allocated
Compiler: Compiled 41 251 to 1 716 computations (95.8% saved)

prune89.0ms (1.3%)

Memory

19.8MiB live, 250.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 496	3	1 499
Fresh	2	2	4
Picked	2	3	5
Done	0	0	0
Total	1 500	8	1 508

Accuracy

100.0%

Counts

1 508 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(fma.f64 (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	98.6%	(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))
▶	28.2%	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
▶	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
✓	99.9%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
▶	55.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	46.1%	#s(literal 4/29 binary64)

Compiler

Compiled 119 to 83 computations (30.3% saved)

simplify12.0ms (0.2%)

Memory

-19.6MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

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

Rules

126×	`-lowering-.f32`
126×	`-lowering-.f64`
76×	`accelerator-lowering-fma.f32`
76×	`accelerator-lowering-fma.f64`
56×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	140
1	53	140
2	76	140
3	87	140
4	88	140
5	126	140
6	139	140
7	151	140
0	151	124

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize199.0ms (2.9%)

Memory

25.6MiB live, 142.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 (/.f64 (*.f64 x #s(literal -707281/11664 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) x (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.7%	(*.f64 x #s(literal -707281/11664 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	98.7%	(/.f64 (*.f64 x #s(literal -707281/11664 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	99.9%	(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 x (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	100.0%	(*.f64 x x)
✓	accuracy	99.9%	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	72.2%	(/.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.9%	(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))

Samples

56.0ms	252×	0	valid
1.0ms	3×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 130 to 28 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

const: 15.0ms (35% of total)

ival-mult: 12.0ms (28% of total)

ival-div: 9.0ms (21% of total)

ival-add: 7.0ms (16.3% 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

-22.9MiB live, 14.9MiB allocated

Counts

16 → 192

Calls

Call 1

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

48 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ 1 (/ 1 (+ (* 841/108 x) 4/29)))
1.0ms	x	@	0	(/ (+ (* (* x x) -707281/11664) 16/841) (* x -841/108))
0.0ms	x	@	inf	(/ (+ (* (* x x) -707281/11664) 16/841) (* x -841/108))
0.0ms	x	@	-inf	(* x -707281/11664)
0.0ms	x	@	inf	(* x -707281/11664)

rewrite409.0ms (5.9%)

Memory

-19.1MiB live, 636.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 238×	`accelerator-lowering-fma.f32`
7 238×	`accelerator-lowering-fma.f64`
4 392×	`/-lowering-/.f32`
4 392×	`/-lowering-/.f64`
3 876×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	116
1	159	116
2	1207	116
0	8632	101

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 702

Calls

Call 1

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

Outputs
(+.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(+.f64 (/.f64 (.f64 (.f64 x 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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(exp.f64 (log.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (/.f64 (.f64 (.f64 x 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 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x 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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) (/.f64 (.f64 x (.f64 x #s(literal -841/108 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal -707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal -841/108 binary64) (neg.f64 x) #s(literal 4/29 binary64))
(fma.f64 #s(literal -841/108 binary64) (/.f64 (.f64 x (.f64 #s(literal 841/108 binary64) x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (.f64 x #s(literal -841/108 binary64)) (/.f64 (.f64 #s(literal 841/108 binary64) x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 (neg.f64 x) #s(literal -841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 (.f64 (.f64 x 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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal -841/108 binary64) (.f64 x #s(literal -841/108 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 841/108 binary64) (.f64 #s(literal 841/108 binary64) x)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 x #s(literal -841/108 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal -841/108 binary64)) x) #s(literal -1 binary64)) (/.f64 #s(literal -841/108 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -841/108 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) x) #s(literal -1 binary64)) (/.f64 #s(literal 841/108 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (.f64 x #s(literal 29/27 binary64)))) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))))
(/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal 29/27 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)) (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64)))))
(/.f64 (fma.f64 (*.f64 x 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 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal 29/27 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (+.f64 #s(literal 16/841 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 x #s(literal 29/27 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal 16/841 binary64))) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal 29/27 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x 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 (neg.f64 (-.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64))) (+.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (*.f64 x #s(literal -29/27 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 x 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 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (+.f64 (/.f64 #s(literal 256/707281 binary64) (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))) (.f64 (/.f64 (.f64 (.f64 x 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 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 x 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 707281/11664 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.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))))) (fma.f64 #s(literal -707281/11664 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)) #s(literal 1 binary64)))
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(.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 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -29/27 binary64))))
(.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 x #s(literal -29/27 binary64))))))
(.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal -11664/707281 binary64)) x) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 707281/11664 binary64)))
(neg.f64 (*.f64 x #s(literal 707281/11664 binary64)))
(*.f64 x #s(literal -707281/11664 binary64))
(*.f64 #s(literal -707281/11664 binary64) x)
(.f64 (.f64 x #s(literal -707281/11664 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal 707281/11664 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64))))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(pow.f64 (*.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 #s(literal 16/841 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))))
(*.f64 #s(literal -16/841 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 16/841 binary64))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -594823321/1259712 binary64) #s(literal 64/24389 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 x #s(literal -841/108 binary64) #s(literal -4/29 binary64)))
(.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)))

simplify421.0ms (6%)

Memory

-25.8MiB live, 552.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 372×	`accelerator-lowering-fma.f32`
9 372×	`accelerator-lowering-fma.f64`
3 004×	`-lowering-.f32`
3 004×	`-lowering-.f64`
2 674×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	240	1162
1	665	1146
2	1500	1124
3	3179	1090
4	6790	1086
0	8031	983

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

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

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 #s(literal 841/108 binary64) x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
29/4
#s(literal 29/4 binary64)
(+ 29/4 (* -707281/1728 x))
(fma.f64 x #s(literal -707281/1728 binary64) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* 17249876309/746496 x) 707281/1728)))
(fma.f64 x (fma.f64 x #s(literal 17249876309/746496 binary64) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(+ 29/4 (* x (- (* x (+ 17249876309/746496 (* -420707233300201/322486272 x))) 707281/1728)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -420707233300201/322486272 binary64) #s(literal 17249876309/746496 binary64)) #s(literal -707281/1728 binary64)) #s(literal 29/4 binary64))
(/ 108/841 x)
(/.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 (/.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 (/ (- (* 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 (/.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))
(* 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)
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841/108
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4/29
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(/.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)

eval507.0ms (7.3%)

Memory: 12.1MiB live, 246.9MiB allocated
Compiler: Compiled 20 874 to 2 118 computations (89.9% saved)

prune126.0ms (1.8%)

Memory

18.7MiB live, 265.9MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	1 005	3	1 008
Fresh	0	0	0
Picked	4	1	5
Done	0	3	3
Total	1 009	7	1 016

Accuracy

100.0%

Counts

1 016 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (.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))
▶	28.5%	(/.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (*.f64 x #s(literal -841/108 binary64)))
▶	55.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	99.9%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
✓	55.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	46.1%	#s(literal 4/29 binary64)

Compiler

Compiled 44 to 34 computations (22.7% saved)

simplify701.0ms (10.1%)

Memory

-1.7MiB live, 320.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal -841/108 binary64))
✓	cost-diff	0	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (.f64 x #s(literal -841/108 binary64)))) #s(literal 4/29 binary64))
✓	cost-diff	320	(.f64 #s(literal -707281/11664 binary64) (/.f64 x (.f64 x #s(literal -841/108 binary64))))
✓	cost-diff	1024	(/.f64 x (*.f64 x #s(literal -841/108 binary64)))
✓	cost-diff	0	(*.f64 x #s(literal -841/108 binary64))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
✓	cost-diff	1344	(/.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (*.f64 x #s(literal -841/108 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 108/841 binary64) x)
✓	cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))

Rules

7 668×	`-lowering-.f32`
7 668×	`-lowering-.f64`
4 874×	`associate-/r/`
3 408×	`/-lowering-/.f32`
3 408×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
1	40	40
2	95	40
3	128	40
4	270	40
5	826	40
6	1769	40
7	2012	40
8	2223	40
9	2537	40
10	2966	40
11	3511	40
12	4170	40
13	4484	40
14	4640	40
15	4714	40
16	4794	40
17	4875	40
18	5615	40
19	6489	40
20	6594	40
21	6659	40
0	11180	39

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize66.0ms (0.9%)

Memory

-1.7MiB live, 118.4MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -707281/11664 binary64) (/.f64 x (.f64 x #s(literal -841/108 binary64))))
✓	accuracy	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (.f64 x #s(literal -841/108 binary64)))) #s(literal 4/29 binary64))
✓	accuracy	99.8%	(/.f64 x (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 x #s(literal -841/108 binary64))
✓	accuracy	99.6%	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
✓	accuracy	51.6%	(/.f64 (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
✓	accuracy	99.5%	(/.f64 #s(literal 108/841 binary64) x)

Samples

43.0ms

256×

valid

Compiler

Compiled 65 to 18 computations (72.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 17.0ms (52.7% of total)

ival-div: 7.0ms (21.7% of total)

ival-mult: 7.0ms (21.7% of total)

ival-add: 1.0ms (3.1% 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

5.8MiB live, 5.8MiB allocated

Counts

9 → 108

Calls

Call 1

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

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)>
#<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 (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* 841/108 x)>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (* -707281/11664 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt (* -841/108 x)>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt -108/841>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<alt 841/108>
#<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))))>

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 108/841 x)
0.0ms	x	@	inf	(* (* x x) -707281/11664)
0.0ms	x	@	inf	(/ 108/841 x)
0.0ms	x	@	-inf	(/ 108/841 x)
0.0ms	x	@	0	(* (* x x) -707281/11664)

rewrite226.0ms (3.2%)

Memory

-25.0MiB live, 327.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`accelerator-lowering-fma.f32`
4 346×	`accelerator-lowering-fma.f64`
2 668×	`-lowering-.f32`
2 668×	`-lowering-.f64`
1 724×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	84	27
2	542	27
0	4652	26

Stop Event

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

Counts

9 → 688

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 841/108 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -841/108 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x #s(literal 841/108 binary64))) (.f64 x #s(literal -841/108 binary64)))
(neg.f64 (*.f64 x #s(literal -841/108 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (.f64 x (.f64 x #s(literal 841/108 binary64)))))
(/.f64 x #s(literal 108/841 binary64))
(/.f64 (.f64 x x) (.f64 x #s(literal 108/841 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal -707281/11664 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -841/108 binary64))))
(/.f64 #s(literal -841/108 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -108/841 binary64) (/.f64 #s(literal -11664/707281 binary64) x))
(/.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 (neg.f64 x) #s(literal -108/841 binary64))
(/.f64 #s(literal 841/108 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64)) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal 841/108 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 108/841 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -108/841 binary64) x) (/.f64 #s(literal -11664/707281 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -707281/11664 binary64)) #s(literal -841/108 binary64))
(/.f64 (*.f64 x #s(literal -108/841 binary64)) #s(literal -11664/707281 binary64))
(/.f64 (.f64 x (.f64 x #s(literal -108/841 binary64))) (*.f64 x #s(literal -11664/707281 binary64)))
(/.f64 (/.f64 #s(literal -707281/11664 binary64) x) (/.f64 #s(literal -841/108 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 841/108 binary64))
(/.f64 (.f64 #s(literal -108/841 binary64) (.f64 (.f64 x x) #s(literal 500246412961/136048896 binary64))) (.f64 x #s(literal -707281/11664 binary64)))
(/.f64 (.f64 x (.f64 x #s(literal 841/108 binary64))) x)
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -1 binary64)) (.f64 x #s(literal -841/108 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x #s(literal 841/108 binary64)))) (neg.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) (.f64 #s(literal 0 binary64) (.f64 x #s(literal -841/108 binary64))))))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x #s(literal -841/108 binary64))) (.f64 x (.f64 x #s(literal -707281/11664 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 x #s(literal 108/841 binary64)))
(/.f64 (.f64 (.f64 x (*.f64 x #s(literal -707281/11664 binary64))) #s(literal 108/841 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal 108/841 binary64)) x)
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -841/108 binary64)) (.f64 x #s(literal -707281/11664 binary64)))
(/.f64 (.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) #s(literal -108/841 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 x (*.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal -841/108 binary64) x)) #s(literal -707281/11664 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (*.f64 x #s(literal 108/841 binary64)))
(/.f64 (.f64 #s(literal 841/108 binary64) (.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x #s(literal 108/841 binary64))) (*.f64 x x))
(/.f64 (.f64 (.f64 x (neg.f64 x)) #s(literal 841/108 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal 108/841 binary64) (.f64 x (*.f64 x #s(literal -707281/11664 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (*.f64 x x)) (/.f64 #s(literal 841/108 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -707281/11664 binary64)) (*.f64 x #s(literal -108/841 binary64)))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal -707281/11664 binary64)))) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -841/108 binary64)) (neg.f64 x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) #s(literal -1 binary64)) (*.f64 x #s(literal -841/108 binary64)))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (/.f64 #s(literal 108/841 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal -108/841 binary64) x)) (.f64 x (.f64 x #s(literal -707281/11664 binary64))))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -707281/11664 binary64))) #s(literal -108/841 binary64))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal 841/108 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (*.f64 x #s(literal -108/841 binary64))) #s(literal -707281/11664 binary64))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (.f64 x (.f64 x #s(literal -108/841 binary64)))) (/.f64 #s(literal -707281/11664 binary64) x))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (/.f64 #s(literal -707281/11664 binary64) x)) (.f64 x (.f64 x #s(literal -108/841 binary64))))
(/.f64 (/.f64 (.f64 x (.f64 x #s(literal 707281/11664 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 108/841 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 108/841 binary64) x) (/.f64 #s(literal 108/841 binary64) x)) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 841/108 binary64)))
(.f64 #s(literal 108/841 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (.f64 x (.f64 x #s(literal -707281/11664 binary64)))))
(*.f64 x #s(literal 841/108 binary64))
(.f64 x (.f64 (*.f64 x #s(literal 707281/11664 binary64)) (/.f64 #s(literal 108/841 binary64) x)))
(.f64 (/.f64 #s(literal 108/841 binary64) x) (.f64 x (*.f64 x #s(literal 707281/11664 binary64))))
(.f64 (.f64 x x) (/.f64 #s(literal 841/108 binary64) x))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 841/108 binary64)))
(.f64 (.f64 x x) (*.f64 (/.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(.f64 #s(literal -707281/11664 binary64) (.f64 x #s(literal -108/841 binary64)))
(.f64 #s(literal -707281/11664 binary64) (.f64 (*.f64 x #s(literal -108/841 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal -707281/11664 binary64) (.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 108/841 binary64) x)))
(.f64 #s(literal -707281/11664 binary64) (/.f64 (.f64 x #s(literal -108/841 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (*.f64 x #s(literal -707281/11664 binary64))) (/.f64 #s(literal -108/841 binary64) x))
(*.f64 #s(literal -841/108 binary64) (neg.f64 x))
(*.f64 #s(literal -841/108 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -841/108 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal -841/108 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -108/841 binary64) (.f64 x #s(literal -707281/11664 binary64)))
(.f64 #s(literal -108/841 binary64) (/.f64 (.f64 x #s(literal -707281/11664 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x #s(literal 841/108 binary64)) (.f64 (.f64 x #s(literal 841/108 binary64)) (/.f64 #s(literal 108/841 binary64) x)))
(.f64 (.f64 x #s(literal 841/108 binary64)) (/.f64 (.f64 x #s(literal 841/108 binary64)) (.f64 x #s(literal 841/108 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x #s(literal -841/108 binary64)))
(*.f64 (neg.f64 x) #s(literal -841/108 binary64))
(.f64 (neg.f64 x) (.f64 (*.f64 x #s(literal -707281/11664 binary64)) (/.f64 #s(literal 108/841 binary64) x)))
(.f64 (neg.f64 x) (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (*.f64 x #s(literal 841/108 binary64))))
(*.f64 #s(literal 841/108 binary64) x)
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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 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 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 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -4096/594823321 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)) #s(literal -256/707281 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 16/841 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.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 #s(literal 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (.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 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 29/27 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 1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)))
(.f64 (+.f64 #s(literal 16/841 binary64) (.f64 x (.f64 x #s(literal -707281/11664 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/29 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))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64))) (.f64 #s(literal 353814783205469041/1586874322944 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))) (fma.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (.f64 x (.f64 x #s(literal 707281/11664 binary64)))) (.f64 #s(literal 500246412961/136048896 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (.f64 (fma.f64 x (-.f64 (.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 (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #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))) (fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) (fma.f64 x #s(literal 29/27 binary64) #s(literal 16/841 binary64))))

simplify18.0ms (0.3%)

Memory

33.1MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Rules

78×	`-lowering-.f32`
78×	`-lowering-.f64`
22×	`*-commutative`
22×	`associate-r`
22×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	316
1	36	316
2	53	316
3	67	316
4	67	316
5	98	316
6	104	316
7	108	316
8	108	316
0	108	307

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 108

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)
(/ 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)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
-108/841
841/108
841/108
841/108
841/108
841/108
841/108
841/108
841/108
841/108
841/108
841/108
841/108
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))))

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

eval104.0ms (1.5%)

Memory: -2.1MiB live, 195.2MiB allocated
Compiler: Compiled 10 227 to 1 409 computations (86.2% saved)

prune79.0ms (1.1%)

Memory

6.1MiB live, 164.7MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	894	3	897
Fresh	0	0	0
Picked	3	0	3
Done	0	4	4
Total	897	7	904

Accuracy

100.0%

Counts

904 → 7

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))
	55.6%	(/.f64 x #s(literal 108/841 binary64))
✓	99.9%	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal -4/29 binary64))
	54.8%	(.f64 (.f64 x #s(literal 707281/11664 binary64)) #s(literal 108/841 binary64))
	55.4%	(.f64 (.f64 x #s(literal -108/841 binary64)) #s(literal -707281/11664 binary64))
✓	55.7%	(*.f64 #s(literal 841/108 binary64) x)
✓	46.1%	#s(literal 4/29 binary64)

Compiler

Compiled 196 to 84 computations (57.1% saved)

regimes19.0ms (0.3%)

Memory

-8.3MiB live, 30.3MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	x
5.0ms	(+.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)

regimes14.0ms (0.2%)

Memory

-20.4MiB live, 19.9MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
4.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms	x

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)
2.0ms	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
98.6%	3	`x`
98.6%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
98.6%	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

9.0MiB live, 9.0MiB 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
46.1%	1	`x`
46.1%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
46.1%	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

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.2978397923045345e-5	9866153206818.508
0.0ms	-3168.7302504203794	-4.1003134448761905e-5

Compiler

Compiled 13 to 13 computations (0% saved)

simplify9.0ms (0.1%)

Memory

-25.1MiB live, 13.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	36
1	28	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (.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))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -2000 binary64)) (.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x)))
#s(literal 4/29 binary64)

Outputs
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (.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))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -2000 binary64)) (.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 7378697629483821/147573952589676412928 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 -2000 binary64)) (.f64 x #s(literal 841/108 binary64)) (if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 7378697629483821/147573952589676412928 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
#s(literal 4/29 binary64)

soundness571.0ms (8.2%)

Memory

26.5MiB live, 313.8MiB allocated

Rules

10 628×	`accelerator-lowering-fma.f32`
10 628×	`accelerator-lowering-fma.f64`
10 352×	`accelerator-lowering-fma.f32`
10 352×	`accelerator-lowering-fma.f64`
9 372×	`accelerator-lowering-fma.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	240	1162
1	665	1146
2	1500	1124
3	3179	1090
4	6790	1086
0	8031	983
0	156	722
1	410	716
2	887	706
3	1707	706
4	3166	694
5	6367	694
0	8529	622
0	11	10
1	28	10
2	153	10
3	1212	10
0	8411	9

Stop Event

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

Compiler

Compiled 75 to 48 computations (36% saved)

preprocess61.0ms (0.9%)

Memory: -5.6MiB live, 70.4MiB allocated
Compiler: Compiled 98 to 60 computations (38.8% 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	19	316
1	36	316
2	53	316
3	67	316
4	67	316
5	98	316
6	104	316
7	108	316
8	108	316
0	108	307

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	19	316
1	36	316
2	53	316
3	67	316
4	67	316
5	98	316
6	104	316
7	108	316
8	108	316
0	108	307

analyze0.0ms (0%)

sample684.0ms (9.8%)

preprocess15.0ms (0.2%)

explain168.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize27.0ms (0.4%)

series2.0ms (0%)

rewrite911.0ms (13.1%)

simplify12.0ms (0.2%)

eval31.0ms (0.5%)

prune32.0ms (0.5%)

simplify9.0ms (0.1%)

localize113.0ms (1.6%)

series9.0ms (0.1%)

rewrite645.0ms (9.3%)

simplify406.0ms (5.8%)

eval241.0ms (3.5%)

prune89.0ms (1.3%)

simplify12.0ms (0.2%)

localize199.0ms (2.9%)

series8.0ms (0.1%)

rewrite409.0ms (5.9%)

simplify421.0ms (6%)

eval507.0ms (7.3%)

prune126.0ms (1.8%)

simplify701.0ms (10.1%)

localize66.0ms (0.9%)

series2.0ms (0%)

rewrite226.0ms (3.2%)

simplify18.0ms (0.3%)

eval104.0ms (1.5%)

prune79.0ms (1.1%)

regimes19.0ms (0.3%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness571.0ms (8.2%)

preprocess61.0ms (0.9%)

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

Iter	Nodes	Cost
0	19	316
1	36	316
2	53	316
3	67	316
4	67	316
5	98	316
6	104	316
7	108	316
8	108	316
0	108	307