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

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample806.0ms (9.7%)

Memory

7.0MiB live, 1 162.0MiB allocated

Samples

609.0ms	8 249×	0	valid
0.0ms	4×	2	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-div: 167.0ms (38.3% of total)

ival-add: 149.0ms (34.2% of total)

ival-mult: 100.0ms (22.9% of total)

exact: 13.0ms (3% of total)

ival-true: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

preprocess17.0ms (0.2%)

Memory

-20.5MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

explain124.0ms (1.5%)

Memory

14.9MiB live, 172.1MiB 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

66.0ms

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: 8.0ms (54.4% of total)

ival-add: 3.0ms (20.4% of total)

ival-mult: 3.0ms (20.4% of total)

exact: 1.0ms (6.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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%)

Memory

5.9MiB live, 5.8MiB 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)

localize29.0ms (0.3%)

Memory

-20.8MiB live, 52.9MiB 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

17.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 5.0ms (49% of total)

ival-div: 4.0ms (39.2% of total)

ival-add: 1.0ms (9.8% 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

3.8MiB live, 3.8MiB allocated

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite448.0ms (5.4%)

Memory

22.5MiB live, 606.5MiB 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))))
(fma.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 x (.f64 x #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #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)))

simplify8.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB 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)

eval30.0ms (0.4%)

Memory: -7.3MiB live, 66.7MiB allocated
Compiler: Compiled 6 981 to 639 computations (90.8% saved)

prune37.0ms (0.4%)

Memory

-22.5MiB live, 87.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	238	7	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	239	7	246

Accuracy

100.0%

Counts

246 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(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))
▶	71.9%	(/.f64 (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)))
▶	71.8%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
▶	54.6%	(*.f64 #s(literal 841/108 binary64) x)
▶	45.6%	#s(literal 4/29 binary64)

Compiler

Compiled 146 to 102 computations (30.1% saved)

simplify12.0ms (0.1%)

Memory

-11.9MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	cost-diff	320	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓	cost-diff	0	(/.f64 (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)))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Rules

158×	`-lowering-.f32`
158×	`-lowering-.f64`
80×	`accelerator-lowering-fma.f32`
80×	`accelerator-lowering-fma.f64`
54×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	90
1	44	88
2	59	88
3	95	88
4	142	88
5	168	88
6	184	88
0	184	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize183.0ms (2.2%)

Memory

10.4MiB live, 170.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	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	99.7%	(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	71.9%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	accuracy	99.9%	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
✓	accuracy	99.9%	(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	71.9%	(/.f64 (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)))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

155.0ms

256×

valid

Compiler

Compiled 82 to 27 computations (67.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-div: 98.0ms (69.1% of total)

const: 25.0ms (17.6% of total)

ival-mult: 13.0ms (9.2% of total)

ival-add: 5.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

11 → 132

Calls

Call 1

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

Calls

33 calls:

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

rewrite896.0ms (10.7%)

Memory

-12.1MiB live, 583.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 128×	`accelerator-lowering-fma.f32`
8 128×	`accelerator-lowering-fma.f64`
5 112×	`-lowering-.f32`
5 112×	`-lowering-.f64`
3 466×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	55
1	131	55
2	988	55
0	9248	47

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 1 550

Calls

Call 1

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

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

simplify433.0ms (5.2%)

Memory

-15.7MiB live, 551.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 192×	`accelerator-lowering-fma.f32`
11 192×	`accelerator-lowering-fma.f64`
2 608×	`-lowering-.f32`
2 608×	`-lowering-.f64`
2 406×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	626
1	229	622
2	510	616
3	1040	616
4	2079	616
5	4814	616
6	7449	616
0	8359	547

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

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

eval201.0ms (2.4%)

Memory: 19.4MiB live, 404.7MiB allocated
Compiler: Compiled 46 714 to 2 470 computations (94.7% saved)

prune204.0ms (2.4%)

Memory

-19.7MiB live, 275.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 679	3	1 682
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	1 682	7	1 689

Accuracy

100.0%

Counts

1 689 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #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))))
▶	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))
▶	26.3%	(/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (.f64 #s(literal 841/108 binary64) x))
▶	26.2%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64))))
✓	54.6%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.6%	#s(literal 4/29 binary64)

Compiler

Compiled 71 to 49 computations (31% saved)

simplify465.0ms (5.6%)

Memory

32.9MiB live, 267.0MiB 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 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #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))))
✓	cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 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)))) (/.f64 #s(literal 16/841 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
✓	cost-diff	0	(*.f64 x #s(literal 707281/11664 binary64))
✓	cost-diff	0	(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓	cost-diff	640	(/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (.f64 #s(literal 841/108 binary64) x))
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
✓	cost-diff	640	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64))))

Rules

5 354×	`accelerator-lowering-fma.f32`
5 354×	`accelerator-lowering-fma.f64`
3 220×	`-lowering-.f32`
3 220×	`-lowering-.f64`
2 128×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	174
1	72	168
2	137	168
3	263	164
4	491	160
5	815	160
6	1971	160
7	4106	160
8	6636	160
0	8347	142

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize135.0ms (1.6%)

Memory

-16.9MiB live, 270.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 #s(literal -1 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	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 binary64)))
✓	accuracy	99.9%	(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	99.9%	(fma.f64 x (*.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64))
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(*.f64 x #s(literal 707281/11664 binary64))
✓	accuracy	71.5%	(/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (.f64 #s(literal 841/108 binary64) 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	99.6%	(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64)))
✓	accuracy	71.5%	(.f64 (fma.f64 (.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -841/108 binary64))))

Samples

85.0ms	253×	0	valid
2.0ms	3×	2	valid

Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

const: 27.0ms (38.8% of total)

ival-mult: 23.0ms (33% of total)

ival-div: 10.0ms (14.4% of total)

ival-add: 9.0ms (12.9% 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)

series17.0ms (0.2%)

Memory

-1.1MiB live, 37.3MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(+ (* (* (/ -1 (+ (* x 841/108) -4/29)) (* x -707281/11664)) x) (/ -16/841 (+ (* x 841/108) -4/29)))
3.0ms	x	@	inf	(/ x (+ (* x -841/108) 4/29))
1.0ms	x	@	0	(/ 1 (* x -841/108))
1.0ms	x	@	inf	(+ (* x (* -707281/11664 (/ x (+ (* x -841/108) 4/29)))) (/ 16/841 (+ (* x -841/108) 4/29)))
1.0ms	x	@	inf	(+ (* (* (/ -1 (+ (* x 841/108) -4/29)) (* x -707281/11664)) x) (/ -16/841 (+ (* x 841/108) -4/29)))

rewrite515.0ms (6.2%)

Memory

11.0MiB live, 645.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 504×	`accelerator-lowering-fma.f32`
8 504×	`accelerator-lowering-fma.f64`
4 114×	`-lowering-.f32`
4 114×	`-lowering-.f64`
3 520×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	150
1	194	148
2	1751	116
0	8436	102

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 1 343

Calls

Call 1

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

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

simplify343.0ms (4.1%)

Memory

9.8MiB live, 433.2MiB allocated

Algorithm

1×	egg-herbie

Rules

9 302×	`accelerator-lowering-fma.f32`
9 302×	`accelerator-lowering-fma.f64`
3 118×	`-lowering-.f32`
3 118×	`-lowering-.f64`
2 928×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	1392
1	513	1372
2	1137	1352
3	2284	1316
4	4668	1300
0	8159	1188

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval255.0ms (3.1%)

Memory: 5.2MiB live, 452.1MiB allocated
Compiler: Compiled 41 406 to 3 111 computations (92.5% saved)

prune245.0ms (2.9%)

Memory

-26.4MiB live, 347.0MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	1 749	4	1 753
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	1 752	8	1 760

Accuracy

100.0%

Counts

1 760 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 binary64))) x #s(literal 4/29 binary64))
▶	99.7%	(fma.f64 (*.f64 x (/.f64 #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))))
▶	96.9%	(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))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	26.3%	(/.f64 (fma.f64 x (.f64 x #s(literal 707281/11664 binary64)) #s(literal -16/841 binary64)) (.f64 #s(literal 841/108 binary64) x))
▶	26.5%	(/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 #s(literal 841/108 binary64) x))
✓	54.6%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.6%	#s(literal 4/29 binary64)

Compiler

Compiled 75 to 53 computations (29.3% saved)

simplify258.0ms (3.1%)

Memory

8.5MiB live, 285.6MiB 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 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 binary64))) x #s(literal 4/29 binary64))
✓	cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 binary64)))
✓	cost-diff	0	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	cost-diff	0	(/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	cost-diff	0	(*.f64 x (/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))))
✓	cost-diff	0	(fma.f64 (*.f64 x (/.f64 #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 #s(literal 841/108 binary64) x)
✓	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 #s(literal 841/108 binary64) x))

Rules

3 682×	`-lowering-.f32`
3 682×	`-lowering-.f64`
3 120×	`/-lowering-/.f32`
3 120×	`/-lowering-/.f64`
1 462×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	162
1	68	158
2	143	150
3	272	150
4	1086	150
5	4739	150
0	8689	133

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize391.0ms (4.7%)

Memory

-10.0MiB live, 104.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -1 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	99.4%	(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 x #s(literal -707281/11664 binary64)))
✓	accuracy	99.9%	(fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64))
✓	accuracy	99.7%	(/.f64 #s(literal -707281/11664 binary64) (fma.f64 x #s(literal -841/108 binary64) #s(literal 4/29 binary64)))
✓	accuracy	99.6%	(*.f64 x (/.f64 #s(literal -707281/11664 binary64) (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	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	99.9%	(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	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(*.f64 #s(literal 841/108 binary64) x)
✓	accuracy	99.7%	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
✓	accuracy	53.6%	(/.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (*.f64 #s(literal 841/108 binary64) x))

Samples

334.0ms	253×	0	valid
2.0ms	3×	2	valid

Compiler

Compiled 145 to 33 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 162.0ms (83% of total)

const: 19.0ms (9.7% of total)

ival-div: 8.0ms (4.1% of total)

ival-add: 5.0ms (2.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

17 → 204

Calls

Call 1

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

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

Calls

51 calls:

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

rewrite424.0ms (5.1%)

Memory

34.3MiB live, 749.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

11 698×	`accelerator-lowering-fma.f32`
11 698×	`accelerator-lowering-fma.f64`
5 178×	`-lowering-.f32`
5 178×	`-lowering-.f64`
3 050×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	139
1	170	135
2	1275	113
0	8929	99

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1 408

Calls

Call 1

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

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

simplify555.0ms (6.7%)

Memory

-2.7MiB live, 441.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 140×	`accelerator-lowering-fma.f32`
8 140×	`accelerator-lowering-fma.f64`
3 314×	`-lowering-.f32`
3 314×	`-lowering-.f64`
1 852×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1342
1	593	1326
2	1359	1288
3	2834	1272
4	5775	1216
0	8164	1123

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval514.0ms (6.2%)

Memory: -9.5MiB live, 375.3MiB allocated
Compiler: Compiled 38 541 to 3 902 computations (89.9% saved)

prune497.0ms (6%)

Memory

17.4MiB live, 366.9MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 871	5	1 876
Fresh	0	0	0
Picked	4	0	4
Done	1	3	4
Total	1 876	8	1 884

Accuracy

100.0%

Counts

1 884 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(fma.f64 (*.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) x) x #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	26.9%	(/.f64 (.f64 x x) (.f64 x #s(literal 108/841 binary64)))
	54.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 108/841 binary64) x))
	54.4%	(.f64 (.f64 (/.f64 #s(literal 841/108 binary64) x) x) x)
	54.3%	(.f64 (.f64 (*.f64 x #s(literal 707281/11664 binary64)) #s(literal 108/841 binary64)) #s(literal 1 binary64))
✓	54.6%	(*.f64 #s(literal 841/108 binary64) x)
✓	45.6%	#s(literal 4/29 binary64)

Compiler

Compiled 255 to 107 computations (58% saved)

regimes18.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

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

regimes41.0ms (0.5%)

Memory

-38.7MiB live, 7.6MiB 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:

37.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
96.9%	3	`x`
96.9%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
96.9%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes4.0ms (0%)

Memory

8.4MiB live, 8.4MiB 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	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
45.6%	1	`x`
45.6%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
45.6%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0014158814137535942	5415.861210208185
0.0ms	-0.4731041745662456	-0.00015494615696035678

Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/9007199254740992 binary64)) (*.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))

#s(literal 4/29 binary64)

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 #s(literal 841/108 binary64) x) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 4/29 binary64) (.f64 #s(literal 841/108 binary64) x)))
(if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 x #s(literal 841/108 binary64)) (if (<=.f64 (.f64 x (/.f64 #s(literal 841 binary64) #s(literal 108 binary64))) #s(literal 1152921504606847/576460752303423488 binary64)) #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 binary64))))
#s(literal 4/29 binary64)

soundness148.0ms (1.8%)

Memory

-22.1MiB live, 95.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	28	10
2	153	10
3	1212	10
0	8411	9
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×	fuel
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Compiler

Compiled 42 to 26 computations (38.1% saved)

preprocess59.0ms (0.7%)

Memory: -6.2MiB live, 59.8MiB allocated
Compiler: Compiled 78 to 48 computations (38.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample806.0ms (9.7%)

preprocess17.0ms (0.2%)

explain124.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize29.0ms (0.3%)

series2.0ms (0%)

rewrite448.0ms (5.4%)

simplify8.0ms (0.1%)

eval30.0ms (0.4%)

prune37.0ms (0.4%)

simplify12.0ms (0.1%)

localize183.0ms (2.2%)

series7.0ms (0.1%)

rewrite896.0ms (10.7%)

simplify433.0ms (5.2%)

eval201.0ms (2.4%)

prune204.0ms (2.4%)

simplify465.0ms (5.6%)

localize135.0ms (1.6%)

series17.0ms (0.2%)

rewrite515.0ms (6.2%)

simplify343.0ms (4.1%)

eval255.0ms (3.1%)

prune245.0ms (2.9%)

simplify258.0ms (3.1%)

localize391.0ms (4.7%)

series4.0ms (0.1%)

rewrite424.0ms (5.1%)

simplify555.0ms (6.7%)

eval514.0ms (6.2%)

prune497.0ms (6%)

regimes18.0ms (0.2%)

regimes41.0ms (0.5%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness148.0ms (1.8%)

preprocess59.0ms (0.7%)

end0.0ms (0%)

Profiling