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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample797.0ms (17.5%)

Memory

6.6MiB live, 1 037.2MiB allocated

Samples

513.0ms	8 247×	0	valid
1.0ms	5×	2	valid
0.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-div: 153.0ms (57.7% of total)

ival-mult: 52.0ms (19.6% of total)

ival-add: 36.0ms (13.6% of total)

exact: 14.0ms (5.3% of total)

ival-true: 6.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain91.0ms (2%)

Memory

-18.0MiB live, 150.2MiB 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

37.0ms

512×

valid

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 10.0ms (47.3% of total)

ival-div: 7.0ms (33.1% of total)

ival-add: 2.0ms (9.5% of total)

exact: 1.0ms (4.7% of total)

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

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

preprocess14.0ms (0.3%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	10
2	58	10
3	103	10
4	142	10
5	156	10
6	165	10
0	9	5
0	15	5
1	17	5
0	17	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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 9 to 9 computations (0% saved)

simplify13.0ms (0.3%)

Memory

-30.3MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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))

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

23.0MiB live, 59.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.00390625	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

15.0ms

256×

valid

Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions

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

ival-div: 4.0ms (57.5% of total)

ival-mult: 2.0ms (28.8% of total)

ival-add: 1.0ms (14.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

0.0ms

-inf

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

0.0ms

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

simplify4.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	49	14
4	49	14
5	64	14
6	70	14
7	74	14
8	74	14
0	74	12

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 4

Calls

Call 1

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

rewrite283.0ms (6.2%)

Memory

-27.8MiB live, 251.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	157	10
3	1227	10
0	8342	9

Stop Event

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

Counts

4 → 454

Calls

Call 1

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

Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (.f64 x #s(literal -29/27 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 x #s(literal -29/27 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 210457284365172120330305161/1999004627104432128 binary64) #s(literal 262144/14507145975869 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (-.f64 #s(literal 4096/594823321 binary64) (.f64 #s(literal 24389/19683 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
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(-.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (/.f64 #s(literal 4096/594823321 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #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 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))) (/.f64 (/.f64 #s(literal 4096/594823321 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 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))) (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (.f64 #s(literal 29/27 binary64) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (.f64 #s(literal 29/27 binary64) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))) (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))) (.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)))) (.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal -29/27 binary64) #s(literal 16/841 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)) (.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64)))
(+.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(literal 64/24389 binary64)) (.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64))))
(+.f64 (.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(literal 64/24389 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.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))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64)))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64)))))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (*.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 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 x #s(literal 841/108 binary64)))
(.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 841/108 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 841/108 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 841/108 binary64))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 841/108 binary64) x)
(pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 841/108 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 841/108 binary64))))

eval53.0ms (1.2%)

Memory: 41.0MiB live, 115.0MiB allocated
Compiler: Compiled 13 688 to 911 computations (93.3% saved)

prune12.0ms (0.3%)

Memory

-11.7MiB live, 34.5MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	452	5	457
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	453	5	458

Accuracy

100.0%

Counts

458 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	80.1%	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
▶	49.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 96 to 86 computations (10.4% saved)

simplify60.0ms (1.3%)

Memory

-2.3MiB live, 74.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	128	(-.f64 (*.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	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #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	128	(neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	1088	(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	29	114
0	45	115
1	72	115
2	95	115
3	148	115
4	282	115
5	637	115
6	1494	115
7	2441	105
8	2602	105
9	2754	105
10	2824	105
11	2824	105
12	2830	105
0	2830	105

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize93.0ms (2%)

Memory

-24.9MiB live, 183.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0703125	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.09375	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.19921875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	12.722755365231771	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.00390625	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
accuracy	0.1328125	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.0703125	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy	32.07388351057572	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.07421875	(fma.f64 x (*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))))
accuracy	0.078125	(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.1484375	(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
accuracy	0.315448779305326	(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))

Samples

71.0ms	249×	0	valid
3.0ms	5×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 250 to 62 computations (75.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

const: 18.0ms (34.7% of total)

ival-mult: 14.0ms (27% of total)

ival-div: 9.0ms (17.3% of total)

ival-add: 7.0ms (13.5% of total)

adjust: 1.0ms (1.9% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

14.6MiB live, 14.6MiB allocated

Counts

13 → 48

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* -841/108 x) 4/29)))
3.0ms	x	@	0	((+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* -841/108 x) 4/29)))
3.0ms	x	@	-inf	((+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* x 841/108) -4/29) (* x 841/108) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (/ -16/841 (+ (* -841/108 x) 4/29)))

Time

Variable

Point

Expression

4.0ms

inf

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

3.0ms

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

3.0ms

-inf

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

simplify163.0ms (3.6%)

Memory

-9.4MiB live, 107.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	419
1	434	414
2	951	408
3	1947	408
4	3972	388
5	7227	388
0	8045	358

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

rewrite589.0ms (12.9%)

Memory

10.9MiB live, 248.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	87
0	45	112
1	168	112
2	1118	64
0	9426	64

Stop Event

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

Counts

13 → 1 583

Calls

Call 1

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

Outputs
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (.f64 x x)))) #s(literal -1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (.f64 x x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) #s(literal -256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(.f64 (.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x))))
(.f64 (.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))))
(.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) #s(literal 3 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x) #s(literal 2 binary64)) #s(literal 500246412961/136048896 binary64) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (-.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (.f64 (.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64)) x)))))))
(.f64 (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
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(+.f64 (.f64 (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
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(+.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) #s(literal -4/29 binary64))
(+.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal -1 binary64)) #s(literal -4/29 binary64))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 #s(literal -29/27 binary64) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))
(+.f64 (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)) #s(literal -4/29 binary64))
(+.f64 (/.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
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(+.f64 #s(literal -4/29 binary64) (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal -4/29 binary64) (.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal -4/29 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 841/108 binary64) x)))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 841/108 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(.f64 (pow.f64 (.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)))))
(.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal -4/29 binary64)))
(.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)) #s(literal -16/841 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 #s(literal 16/841 binary64) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -16/841 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (/.f64 #s(literal -256/707281 binary64) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal 841/16 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64)))
(/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(fma.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) (.f64 #s(literal -841/108 binary64) x) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) #s(literal -4/29 binary64)))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)))
(fma.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(fma.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(fma.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(fma.f64 (.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) (.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -841/16 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal -841/108 binary64) x) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64)))) (.f64 #s(literal -4/29 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (.f64 (.f64 (*.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x)) (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) (.f64 #s(literal -841/108 binary64) x)) (.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal 16/841 binary64))) #s(literal -4/29 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (*.f64 #s(literal 707281/11664 binary64) x) x)))
(+.f64 (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -29/27 binary64) x))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))

eval134.0ms (2.9%)

Memory: 24.0MiB live, 294.1MiB allocated
Compiler: Compiled 26 713 to 2 710 computations (89.9% saved)

prune20.0ms (0.4%)

Memory

-20.3MiB live, 60.5MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	918	3	921
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	919	7	926

Accuracy

100.0%

Counts

926 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.8%	(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(approx (neg (/ -16/841 (+ ( -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	80.1%	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	80.1%	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶	31.2%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	49.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 84 to 70 computations (16.7% saved)

simplify120.0ms (2.6%)

Memory

21.9MiB live, 60.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
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(approx (neg (/ -16/841 (+ ( -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)))
cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x #s(literal -16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x #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 841/108 binary64) x) #s(literal 841/108 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
cost-diff	0	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	144
0	44	142
1	75	134
2	102	132
3	147	132
4	402	132
5	1500	132
6	2789	132
7	3189	132
8	3374	132
9	3475	132
10	3528	132
11	3535	132
12	3552	132
13	3616	132
14	3824	132
15	3824	132
16	3864	132
17	3864	132
0	3864	132

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize188.0ms (4.1%)

Memory

-28.0MiB live, 126.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.078125	(/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.1484375	(*.f64 #s(literal 707281/11664 binary64) (/.f64 x (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
accuracy	0.4375	(/.f64 #s(literal -1728/707281 binary64) x)
accuracy	31.24527563676075	#s(approx (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x))
accuracy	0.09375	(fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x #s(literal -16/841 binary64))
accuracy	0.1328125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	0.265625	(.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64))
accuracy	12.722755365231771	(/.f64 (fma.f64 (.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.0703125	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.21642737274304377	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	12.722755365231771	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	31.25526895651141	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))

Samples

78.0ms	249×	0	valid
8.0ms	5×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 281 to 63 computations (77.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

const: 22.0ms (37.9% of total)

ival-mult: 16.0ms (27.5% of total)

ival-div: 8.0ms (13.8% of total)

ival-add: 6.0ms (10.3% of total)

ival-neg: 5.0ms (8.6% of total)

adjust: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

14 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (* (* 841/108 x) 841/108) (/ (+ (* (* (* 841/108 x) 841/108) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* (* 841/108 x) 841/108) x) -16/841) (* 841/108 x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x))

2.0ms

inf

((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (* (* 841/108 x) 841/108) (/ (+ (* (* (* 841/108 x) 841/108) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* (* 841/108 x) 841/108) x) -16/841) (* 841/108 x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x))

2.0ms

((/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* (* x x) 707281/11664) (* x x) (* (* 841/108 x) 841/108) (/ (+ (* (* (* 841/108 x) 841/108) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* (* 841/108 x) 841/108) x) -16/841) (* 841/108 x) (+ (* x (* 707281/11664 (/ x (+ (* x 841/108) -4/29)))) (neg (/ -16/841 (+ (* -841/108 x) 4/29)))) (* 707281/11664 (/ x (+ (* x 841/108) -4/29))) (/ x (+ (* x 841/108) -4/29)) (+ (* x 841/108) -4/29) (neg (/ -16/841 (+ (* -841/108 x) 4/29))) (/ -1728/707281 x))

simplify343.0ms (7.5%)

Memory

-126.4MiB live, 158.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	321
1	378	316
2	818	310
3	1642	310
4	3308	302
5	6698	302
0	8097	278

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite248.0ms (5.4%)

Memory

18.5MiB live, 217.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	123
0	44	121
1	171	107
2	1103	105
0	8752	104

Stop Event

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

Counts

14 → 749

Calls

Call 1

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

Outputs
(.f64 (.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(.f64 (.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))
(.f64 (.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 (.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal 16/841 binary64))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x))))
(.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(.f64 (neg.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) (pow.f64 (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (pow.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) (+.f64 #s(literal 16/841 binary64) (.f64 #s(literal -29/27 binary64) x)))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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)) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #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)) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (*.f64 x x)))) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) #s(literal -4096/594823321 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 500246412961/136048896 binary64) (-.f64 #s(literal 256/707281 binary64) (.f64 #s(literal -841/729 binary64) (*.f64 x x)))))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #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 -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 (.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))) (.f64 (fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
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(/.f64 #s(literal 1728/707281 binary64) (neg.f64 x))
(/.f64 #s(literal -1728/707281 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -707281/1728 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1728/707281 binary64) x)))
(neg.f64 (/.f64 #s(literal 1728/707281 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1728/707281 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal -707281/1728 binary64))) #s(literal -1 binary64)))

eval177.0ms (3.9%)

Memory: 15.2MiB live, 246.1MiB allocated
Compiler: Compiled 36 696 to 2 869 computations (92.2% saved)

prune18.0ms (0.4%)

Memory

-10.9MiB live, 64.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1 108	2	1 110
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	1 110	7	1 117

Accuracy

100.0%

Counts

1 117 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(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(approx (neg (/ -16/841 (+ ( -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	31.3%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	31.2%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶	31.3%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	49.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 98 to 80 computations (18.4% saved)

simplify5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
0	27	98
1	41	98
2	50	98
3	50	98
0	50	94

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize144.0ms (3.1%)

Memory

-16.6MiB live, 72.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(*.f64 #s(literal 841/108 binary64) x)
accuracy	0.16922628162065376	(.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64))
accuracy	12.722755365231771	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	31.25526895651141	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64)))
accuracy	0.15234375	(.f64 (.f64 x #s(literal 707281/11664 binary64)) x)
accuracy	0.19921875	(*.f64 x #s(literal 707281/11664 binary64))
accuracy	12.722755365231771	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	31.25526895651141	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x #s(literal 707281/11664 binary64)) x))

Samples

125.0ms

256×

valid

Compiler

Compiled 186 to 37 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

const: 97.0ms (84.2% of total)

ival-mult: 14.0ms (12.2% of total)

ival-add: 3.0ms (2.6% of total)

ival-div: 2.0ms (1.7% of total)

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

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

series4.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

9 → 10

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(* 707281/11664 x)
(* 841/108 (pow x 2))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify121.0ms (2.7%)

Memory

8.6MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	42
1	51	42
2	98	42
3	183	42
4	428	42
5	803	42
6	1880	42
7	3211	42
8	3916	42
9	4762	42
10	6024	42
11	7688	42
0	8100	38

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite317.0ms (6.9%)

Memory

-6.8MiB live, 201.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
0	27	83
1	83	83
2	435	83
3	3438	83
0	9150	79

Stop Event

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

Counts

9 → 243

Calls

Call 1

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

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

eval18.0ms (0.4%)

Memory: 0.6MiB live, 37.1MiB allocated
Compiler: Compiled 3 905 to 431 computations (89% saved)

prune94.0ms (2.1%)

Memory

-19.5MiB live, 18.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	137	7	144

Accuracy

100.0%

Counts

144 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.8%	(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(approx (neg (/ -16/841 (+ ( -841/108 x) 4/29))) (/.f64 #s(literal -1728/707281 binary64) x)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	31.3%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	31.2%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	31.3%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x #s(literal 707281/11664 binary64)) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	49.9%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 246 to 148 computations (39.8% saved)

regimes12.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Counts

11 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

4.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms	x
3.0ms	(+.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 15 to 15 computations (0% saved)

regimes11.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
3.0ms	x
3.0ms	(+.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 15 to 15 computations (0% saved)

regimes26.0ms (0.6%)

Memory

-34.7MiB live, 4.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	(*.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
49.9%	1	`x`
49.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
49.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

simplify77.0ms (1.7%)

Memory

-4.0MiB live, 40.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	28
1	35	28
2	44	28
3	52	28
4	60	28
5	66	28
6	86	28
7	193	28
8	3690	28

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

soundness195.0ms (4.3%)

Memory

27.2MiB live, 105.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	14
2	37	14
3	49	14
4	49	14
5	64	14
6	70	14
7	74	14
8	74	14
0	74	12
0	9	10
0	15	10
1	32	10
2	157	10
3	1227	10
0	8342	9

Stop Event

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

Compiler

Compiled 60 to 40 computations (33.3% saved)

preprocess82.0ms (1.8%)

Memory: -21.0MiB live, 17.9MiB allocated
Compiler: Compiled 82 to 66 computations (19.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample797.0ms (17.5%)

explain91.0ms (2%)

preprocess14.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify13.0ms (0.3%)

localize21.0ms (0.5%)

series2.0ms (0%)

simplify4.0ms (0.1%)

rewrite283.0ms (6.2%)

eval53.0ms (1.2%)

prune12.0ms (0.3%)

simplify60.0ms (1.3%)

localize93.0ms (2%)

series10.0ms (0.2%)

simplify163.0ms (3.6%)

rewrite589.0ms (12.9%)

eval134.0ms (2.9%)

prune20.0ms (0.4%)

simplify120.0ms (2.6%)

localize188.0ms (4.1%)

series6.0ms (0.1%)

simplify343.0ms (7.5%)

rewrite248.0ms (5.4%)

eval177.0ms (3.9%)

prune18.0ms (0.4%)

simplify5.0ms (0.1%)

localize144.0ms (3.1%)

series4.0ms (0.1%)

simplify121.0ms (2.7%)

rewrite317.0ms (6.9%)

eval18.0ms (0.4%)

prune94.0ms (2.1%)

regimes12.0ms (0.3%)

regimes11.0ms (0.2%)

regimes26.0ms (0.6%)

simplify77.0ms (1.7%)

soundness195.0ms (4.3%)

preprocess82.0ms (1.8%)

end0.0ms (0%)

Profiling