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

0.1MiB live, 0.1MiB 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)

sample525.0ms (20.8%)

Memory

17.1MiB live, 217.7MiB allocated

Samples

328.0ms	8 251×	0	valid
0.0ms	3×	1	valid
0.0ms	2×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-div: 115.0ms (54.6% of total)

ival-mult: 47.0ms (22.3% of total)

ival-add: 31.0ms (14.7% of total)

exact: 11.0ms (5.2% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain70.0ms (2.8%)

Memory

-11.0MiB live, 43.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Total Time

14.59912109375

Average Time

0.05702781677246094

Samples

27.0ms	508×	0	valid
1.0ms	4×	5	exit

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-div: 7.0ms (52.1% of total)

ival-mult: 3.0ms (22.3% of total)

ival-add: 2.0ms (14.9% of total)

exact: 1.0ms (7.4% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess13.0ms (0.5%)

Memory

-2.4MiB live, 5.1MiB 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	140	10
5	153	10
6	161	10
0	9	5
0	15	5
1	17	5
0	17	4

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB 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)

localize19.0ms (0.8%)

Memory

1.0MiB live, 8.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.01953125	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.140625	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

12.0ms	254×	0	valid
0.0ms	2×	5	exit

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 (56.4% of total)

ival-mult: 2.0ms (28.2% of total)

ival-add: 1.0ms (14.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB 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))

simplify3.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB 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))

rewrite157.0ms (6.2%)

Memory

0.6MiB live, 54.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

4 → 221

Calls

Call 1

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

Outputs
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(*.f64 (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)) #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 (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 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 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 (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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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 #s(literal -594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) #s(literal -16/841 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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #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)) (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 #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) (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 #s(literal -29/27 binary64) x #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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (*.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #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)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 (fma.f64 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #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)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 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 #s(literal -29/27 binary64) x #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 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal -29/27 binary64) x #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 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -707281/11664 binary64) (.f64 x x) #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(.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) (fma.f64 #s(literal 841/729 binary64) (.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (fma.f64 x #s(literal 841/108 binary64) #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) (fma.f64 #s(literal 841/729 binary64) (*.f64 x x) #s(literal 256/707281 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 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 (/.f64 #s(literal -1 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))))
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(-.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 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (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 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(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))))

eval24.0ms (0.9%)

Memory: -4.2MiB live, 19.5MiB allocated
Compiler: Compiled 5 562 to 654 computations (88.2% saved)

prune5.0ms (0.2%)

Memory

1.8MiB live, 9.7MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	219	5	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	5	225

Accuracy

100.0%

Counts

225 → 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 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	68.6%	(/.f64 (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)))
▶	78.1%	(/.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)))
▶	53.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 112 to 98 computations (12.5% saved)

simplify8.0ms (0.3%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))
cost-diff	0	(/.f64 (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)))
cost-diff	0	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
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	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	136
0	58	135
1	87	135
2	118	135
3	137	135
4	140	135
5	141	135
0	141	135

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize103.0ms (4.1%)

Memory

-0.5MiB live, 39.5MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))
accuracy	0.08203125	(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
accuracy	19.63673484022794	(/.f64 (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)))
accuracy	0.05859375	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.11328125	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1875	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.3310737793053261	(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.05859375	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.06869125976844201	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.14453125	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	14.070511625042748	(/.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	29.927798705971203	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.046875	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

77.0ms	252×	0	valid
1.0ms	2×	2	valid
1.0ms	2×	1	valid

Compiler

Compiled 300 to 81 computations (73% saved)

Precisions

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

const: 28.0ms (44.5% of total)

ival-mult: 13.0ms (20.6% of total)

ival-div: 9.0ms (14.3% of total)

ival-add: 9.0ms (14.3% of total)

ival-pow: 4.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.5%)

Memory

-1.1MiB live, 6.1MiB allocated

Counts

16 → 58

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(* -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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(pow x 3)
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
-29/27
(- (* 707281/11664 x) 29/27)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 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)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))

Calls

3 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 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) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (+ (* (pow x 3) 594823321/1259712) 64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (+ (* (pow x 3) 594823321/1259712) 64/24389) (pow x 3) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* 707281/11664 x) -29/27))
4.0ms	x	@	inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 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) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (+ (* (pow x 3) 594823321/1259712) 64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (+ (* (pow x 3) 594823321/1259712) 64/24389) (pow x 3) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* 707281/11664 x) -29/27))
4.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (/ (+ (* (* 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) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ (+ (* (pow x 3) 594823321/1259712) 64/24389) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841)) (+ (* (pow x 3) 594823321/1259712) 64/24389) (pow x 3) (+ (* x (+ (* 707281/11664 x) -29/27)) 16/841) (/ -16/841 (+ (* x 841/108) -4/29)) (+ (* 707281/11664 x) -29/27))

Time

Variable

Point

Expression

5.0ms

-inf

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

4.0ms

inf

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

4.0ms

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

simplify113.0ms (4.5%)

Memory

6.5MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	415
1	513	409
2	1171	398
3	2481	398
4	4914	394
0	8090	354

Stop Event

1×	iter limit
1×	node limit

Counts

58 → 58

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(* -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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(pow x 3)
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
-29/27
(- (* 707281/11664 x) 29/27)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 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)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))

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 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))
(* -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 (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.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 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 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))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 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))
(* 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))
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 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) (-.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal -4/29 binary64) x)))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* 594823321/1259712 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 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)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (* 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 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 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)
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))

rewrite159.0ms (6.3%)

Memory

2.0MiB live, 64.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	109
0	58	101
1	233	101
2	1611	93
0	8626	93

Stop Event

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

Counts

16 → 852

Calls

Call 1

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

Outputs
(.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 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal 16/841 binary64)) (.f64 #s(literal -29/27 binary64) x)) #s(literal -1 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64))) (/.f64 #s(literal 256/707281 binary64) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -16/841 binary64) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)))
(+.f64 (+.f64 #s(literal 16/841 binary64) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (*.f64 #s(literal -29/27 binary64) x))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64))) (neg.f64 (/.f64 #s(literal 256/707281 binary64) (fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal -16/841 binary64)))))
(+.f64 (.f64 (.f64 x x) #s(literal 707281/11664 binary64)) (fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x) #s(literal 16/841 binary64))
(+.f64 #s(literal 16/841 binary64) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x))
(.f64 (/.f64 #s(literal -16/841 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 -16/841 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)) (*.f64 #s(literal -29/27 binary64) x)))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (.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 #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) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -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 -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 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)) #s(literal -841/16 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.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 #s(literal 16/841 binary64) (-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(/.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 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 #s(literal 841/729 binary64) (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -29/27 binary64) (.f64 #s(literal 707281/11664 binary64) x))))
(.f64 (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) #s(literal -841/729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64)))))))
(.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) #s(literal -841/729 binary64)) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)))
(.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 841/729 binary64) (-.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (.f64 x #s(literal -20511149/314928 binary64))))))
(.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64)) (pow.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) (-.f64 #s(literal 841/729 binary64) (*.f64 x #s(literal -20511149/314928 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (fma.f64 (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 841/729 binary64) (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal -29/27 binary64) (*.f64 #s(literal 707281/11664 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x) #s(literal -841/729 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)) #s(literal 841/729 binary64))) (*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))))
(/.f64 (-.f64 #s(literal 841/729 binary64) (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x))) (-.f64 #s(literal -29/27 binary64) (*.f64 #s(literal 707281/11664 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x) #s(literal -841/729 binary64))) (neg.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))) (neg.f64 (+.f64 #s(literal 841/729 binary64) (-.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (*.f64 x #s(literal -20511149/314928 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))) (neg.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)))))
(/.f64 (fma.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x) #s(literal -841/729 binary64)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -29/27 binary64) (.f64 #s(literal 707281/11664 binary64) x)) (-.f64 #s(literal 841/729 binary64) (.f64 #s(literal 500246412961/136048896 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 841/729 binary64) (-.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (*.f64 x #s(literal -20511149/314928 binary64)))) (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64)) (+.f64 #s(literal 841/729 binary64) (-.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (*.f64 x #s(literal -20511149/314928 binary64)))))
(/.f64 (fma.f64 #s(literal 353814783205469041/1586874322944 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -24389/19683 binary64)) (fma.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x) (-.f64 #s(literal 841/729 binary64) (.f64 x #s(literal -20511149/314928 binary64)))))
(fma.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(-.f64 (/.f64 #s(literal 841/729 binary64) (-.f64 #s(literal -29/27 binary64) (.f64 #s(literal 707281/11664 binary64) x))) (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (-.f64 #s(literal -29/27 binary64) (.f64 #s(literal 707281/11664 binary64) x))))
(-.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))))
(+.f64 (/.f64 (.f64 #s(literal 500246412961/136048896 binary64) (.f64 x x)) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64))) (neg.f64 (/.f64 #s(literal 841/729 binary64) (fma.f64 #s(literal 707281/11664 binary64) x #s(literal 29/27 binary64)))))
(+.f64 #s(literal -29/27 binary64) (*.f64 #s(literal 707281/11664 binary64) x))
(+.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal -29/27 binary64))

eval113.0ms (4.5%)

Memory: -2.6MiB live, 84.4MiB allocated
Compiler: Compiled 25 995 to 2 817 computations (89.2% saved)

prune14.0ms (0.6%)

Memory

1.5MiB live, 35.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	932	5	937
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	934	8	942

Accuracy

100.0%

Counts

942 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))
▶	56.1%	(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	78.1%	(/.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)))
▶	54.2%	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #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)))
▶	25.7%	(/.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)))
✓	53.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	47.5%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 198 to 166 computations (16.2% saved)

simplify8.0ms (0.3%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 4/29 binary64) x)
cost-diff	0	(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
cost-diff	0	#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
cost-diff	0	(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
cost-diff	0	(*.f64 x 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)))
cost-diff	0	(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
cost-diff	0	(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
cost-diff	0	#s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #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)))
cost-diff	0	(*.f64 #s(literal 841/108 binary64) x)
cost-diff	0	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
cost-diff	0	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	218
0	68	218
1	101	218
2	132	218
3	150	218
4	153	218
5	154	218
0	154	213

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

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

localize108.0ms (4.3%)

Memory

-7.8MiB live, 41.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.0625	(/.f64 #s(literal 4/29 binary64) x)
accuracy	0.3310737793053261	(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	33.441836020077965	#s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64)))
accuracy	0.05859375	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.19880788188792167	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	14.070511625042748	(/.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	33.057393508172304	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
accuracy	0.08203125	(fma.f64 x (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
accuracy	0.08203125	(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
accuracy	19.63673484022794	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #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)))
accuracy	29.415349420194676	#s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))
accuracy	0.140625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	33.09851144860123	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))
accuracy	0.11328125	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1796875	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.3310737793053261	(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))
accuracy	29.825468080267434	#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))

Samples

81.0ms	252×	0	valid
2.0ms	2×	5	exit
1.0ms	1×	2	valid
1.0ms	1×	1	valid

Compiler

Compiled 426 to 97 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

const: 27.0ms (41.9% of total)

ival-mult: 16.0ms (24.9% of total)

ival-add: 9.0ms (14% of total)

ival-div: 7.0ms (10.9% of total)

ival-pow: 4.0ms (6.2% of total)

adjust: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory

5.3MiB live, 5.3MiB allocated

Counts

22 → 60

Calls

Call 1

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

Outputs
4/29
(+ 4/29 (* 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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
(* 841/108 x)
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
(/ 4/29 x)
(/ (+ 4/29 (* 841/108 x)) x)
-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))))))
(* x (+ 841/108 (* 4/29 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 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 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -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

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

2.0ms

inf

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

2.0ms

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

simplify111.0ms (4.4%)

Memory

-1.9MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	427
1	514	421
2	1172	410
3	2485	410
4	4912	402
0	8093	362

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
(* 841/108 x)
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 (pow x 2))
(pow x 2)
(/ 4/29 x)
(/ (+ 4/29 (* 841/108 x)) x)
-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))))))
(* x (+ 841/108 (* 4/29 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* 707281/11664 x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 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 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(* -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))
(* -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 (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.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 (* -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)
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 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)
(/ 4/29 x)
(/.f64 #s(literal 4/29 binary64) x)
(/ (+ 4/29 (* 841/108 x)) x)
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(+ 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))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 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 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) (-.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal -4/29 binary64) x)))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 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)
(* -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))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (* 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 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 (fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 #s(literal 707281/11664 binary64) x #s(literal -29/27 binary64))
(* -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)

rewrite157.0ms (6.2%)

Memory

-2.1MiB live, 54.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	192
0	68	192
1	271	192
2	1945	192
0	8155	187

Stop Event

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

Counts

22 → 476

Calls

Call 1

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

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

eval68.0ms (2.7%)

Memory: 4.4MiB live, 53.0MiB allocated
Compiler: Compiled 17 266 to 1 874 computations (89.1% saved)

prune8.0ms (0.3%)

Memory

-2.3MiB live, 21.1MiB allocated

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	552	3	555
Fresh	0	0	0
Picked	3	2	5
Done	1	2	3
Total	556	7	563

Accuracy

100.0%

Counts

563 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))
✓	56.1%	(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	53.5%	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
▶	25.7%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	53.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	47.5%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 109 to 93 computations (14.7% saved)

simplify7.0ms (0.3%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
cost-diff	0	(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
cost-diff	0	(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
cost-diff	0	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))
cost-diff	0	#s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64))
cost-diff	0	(fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
cost-diff	0	#s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 707281/11664 binary64) x) x)
cost-diff	0	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))
cost-diff	0	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	175
0	54	175
1	77	175
2	99	175
3	112	175
4	115	175
5	116	175
0	116	164

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

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

localize90.0ms (3.6%)

Memory

2.0MiB live, 33.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.1796875	(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
accuracy	0.3310737793053261	(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))
accuracy	29.825468080267434	#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))
accuracy	33.14336036329018	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.08203125	(fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64))
accuracy	19.63673484022794	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
accuracy	29.415349420194676	#s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))
accuracy	29.824953164072966	#s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64))
accuracy	0.12109375	(.f64 (.f64 #s(literal 707281/11664 binary64) x) x)
accuracy	0.140625	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	14.070511625042748	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	33.057393508172304	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))

Samples

68.0ms	252×	0	valid
2.0ms	2×	5	exit
1.0ms	1×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 319 to 82 computations (74.3% saved)

Precisions

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

const: 27.0ms (46.8% of total)

ival-mult: 12.0ms (20.8% of total)

ival-add: 8.0ms (13.9% of total)

ival-div: 6.0ms (10.4% of total)

ival-pow: 4.0ms (6.9% of total)

adjust: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory

-5.6MiB live, 4.4MiB allocated

Counts

14 → 57

Calls

Call 1

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

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)
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(* -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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
-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))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 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)
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 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

3.0ms

inf

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

2.0ms

-inf

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

1.0ms

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

simplify111.0ms (4.4%)

Memory

8.4MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	412
1	513	406
2	1169	395
3	2467	395
4	4909	391
0	8120	351

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

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)
64/24389
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
16/841
(+ 16/841 (* -29/27 x))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
-29/27
(- (* 707281/11664 x) 29/27)
(* -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 (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(+ 4/29 (* -841/108 x))
-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))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 594823321/1259712 (pow x 3))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(* x (- 707281/11664 (* 29/27 (/ 1 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
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 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)
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 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))
(* 707281/11664 x)
(*.f64 x #s(literal 707281/11664 binary64))
64/24389
#s(literal 64/24389 binary64)
(+ 64/24389 (* 594823321/1259712 (pow x 3)))
(fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -29/27 x))
(fma.f64 #s(literal -29/27 binary64) x #s(literal 16/841 binary64))
(+ 16/841 (* x (- (* 707281/11664 x) 29/27)))
(fma.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
-29/27
#s(literal -29/27 binary64)
(- (* 707281/11664 x) 29/27)
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(* -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 (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.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 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(+ 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))
(* 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))
(* 594823321/1259712 (pow x 3))
(*.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 594823321/1259712 (* 64/24389 (/ 1 (pow x 3)))))
(fma.f64 #s(literal 594823321/1259712 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))
(* (pow x 2) (- 707281/11664 (* 29/27 (/ 1 x))))
(*.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) x)
(* (pow x 2) (- (+ 707281/11664 (/ 16/841 (pow x 2))) (* 29/27 (/ 1 x))))
(fma.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* x (- 707281/11664 (* 29/27 (/ 1 x))))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 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 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) (-.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal -4/29 binary64) x)))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (+.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal 46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(/ -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)
(* (pow x 2) (+ 707281/11664 (* -1 (/ (- 29/27 (* 16/841 (/ 1 x))) x))))
(fma.f64 (fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))
(* -1 (* x (- (* 29/27 (/ 1 x)) 707281/11664)))
(fma.f64 x #s(literal 707281/11664 binary64) #s(literal -29/27 binary64))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 #s(literal -46656/20511149 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8707129344/12200509765705829 binary64) x) #s(literal 20155392/500246412961 binary64)) x)) x) #s(literal 108/841 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
(* -1 (/ (+ 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)

rewrite145.0ms (5.7%)

Memory

-5.7MiB live, 45.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	155
0	54	155
1	205	155
2	1347	155
0	8487	144

Stop Event

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

Counts

14 → 285

Calls

Call 1

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

Outputs
(.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))) (/.f64 #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 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 x #s(literal -29/27 binary64)))) #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 x #s(literal -29/27 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 (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 #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 x) #s(literal 707281/11664 binary64)))))
(/.f64 #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 x) #s(literal 707281/11664 binary64)))))
(/.f64 (neg.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 #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)))
(neg.f64 (/.f64 #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 x) #s(literal 707281/11664 binary64))))))
(neg.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 -841/108 binary64) x #s(literal 4/29 binary64)))))
(neg.f64 (/.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 (/.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 x) #s(literal 707281/11664 binary64))) (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 x) #s(literal 707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (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 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))))
(.f64 #s(approx (+ ( (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) #s(literal 1 binary64))
#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
(neg.f64 (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))))
(.f64 (pow.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 841/108 binary64)) x)
(.f64 (.f64 (*.f64 #s(literal 841/108 binary64) x) x) #s(literal 841/108 binary64))
(.f64 (.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal -841/108 binary64)) x)
(.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) (*.f64 #s(literal 841/108 binary64) x))
(.f64 (.f64 #s(literal -841/108 binary64) x) (*.f64 #s(literal -841/108 binary64) x))
(.f64 #s(literal -841/108 binary64) (.f64 x (*.f64 #s(literal -841/108 binary64) x)))
(.f64 #s(literal 841/108 binary64) (.f64 x (*.f64 #s(literal 841/108 binary64) x)))
(.f64 (.f64 x #s(literal 707281/11664 binary64)) x)
(.f64 x (.f64 #s(literal 841/108 binary64) (*.f64 #s(literal 841/108 binary64) x)))
(.f64 x (.f64 #s(literal -841/108 binary64) (*.f64 #s(literal -841/108 binary64) x)))
(.f64 x (.f64 x #s(literal 707281/11664 binary64)))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(pow.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -841/108 binary64) x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 841/108 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -841/108 binary64) x)) #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -707281/11664 binary64) x))
(*.f64 (neg.f64 x) #s(literal -707281/11664 binary64))
(*.f64 #s(literal -707281/11664 binary64) (neg.f64 x))
(*.f64 x #s(literal 707281/11664 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(neg.f64 (*.f64 #s(literal -707281/11664 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -707281/11664 binary64) x))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal -16/841 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64))) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal -16/841 binary64)))
(.f64 (/.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (.f64 (.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 16/841 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (+.f64 #s(literal 4096/594823321 binary64) (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (.f64 (.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x) #s(literal 16/841 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))))
(.f64 (pow.f64 (fma.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))))
(.f64 (neg.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))))
(.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -16/841 binary64) (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (-.f64 #s(literal -16/841 binary64) (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x)))
(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)))
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(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -16/841 binary64) (.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x))) (/.f64 (neg.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))) (fma.f64 #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64))))
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(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(approx (+ ( 707281/11664 x) -29/27) #s(literal -29/27 binary64)) x #s(literal 16/841 binary64)) #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)))
(.f64 #s(approx (+ ( (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) #s(literal 1 binary64))
#s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64))))
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eval38.0ms (1.5%)

Memory: 1.3MiB live, 31.1MiB allocated
Compiler: Compiled 11 196 to 1 053 computations (90.6% saved)

prune8.0ms (0.3%)

Memory

-0.7MiB live, 14.7MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	324	0	324
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	324	7	331

Accuracy

100.0%

Counts

331 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))
✓	56.1%	(fma.f64 x #s(approx (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	53.5%	(/.f64 #s(approx (+ (* (pow x 3) 594823321/1259712) 64/24389) #s(literal 64/24389 binary64)) (fma.f64 x #s(approx (+ (* 707281/11664 x) -29/27) #s(literal -29/27 binary64)) #s(literal 16/841 binary64)))
✓	25.7%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
✓	53.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	47.5%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 322 to 189 computations (41.3% saved)

regimes13.0ms (0.5%)

Memory

-1.8MiB live, 7.9MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.2%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
97.2%	3	`x`
97.2%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.2%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.2%)

Memory

-3.7MiB live, 4.3MiB 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:

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

Results

Accuracy	Segments	Branch
53.2%	1	`x`
53.2%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
53.2%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.10624517867378909	17074.86728421224
0.0ms	-125.58805566873397	-1.0934104328796343e-7

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify21.0ms (0.8%)

Memory

2.8MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	52
1	27	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

Outputs

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

(if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -100 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))))

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

soundness217.0ms (8.6%)

Memory

2.4MiB live, 2.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	157	10
3	1219	10
0	8380	9
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	191	415
1	513	409
2	1171	398
3	2481	398
4	4914	394
0	8090	354

Stop Event

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

Compiler

Compiled 119 to 64 computations (46.2% saved)

preprocess44.0ms (1.7%)

Memory: -4.3MiB live, 13.9MiB allocated
Compiler: Compiled 138 to 76 computations (44.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample525.0ms (20.8%)

explain70.0ms (2.8%)

preprocess13.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.8%)

series2.0ms (0.1%)

simplify3.0ms (0.1%)

rewrite157.0ms (6.2%)

eval24.0ms (0.9%)

prune5.0ms (0.2%)

simplify8.0ms (0.3%)

localize103.0ms (4.1%)

series13.0ms (0.5%)

simplify113.0ms (4.5%)

rewrite159.0ms (6.3%)

eval113.0ms (4.5%)

prune14.0ms (0.6%)

simplify8.0ms (0.3%)

localize108.0ms (4.3%)

series8.0ms (0.3%)

simplify111.0ms (4.4%)

rewrite157.0ms (6.2%)

eval68.0ms (2.7%)

prune8.0ms (0.3%)

simplify7.0ms (0.3%)

localize90.0ms (3.6%)

series7.0ms (0.3%)

simplify111.0ms (4.4%)

rewrite145.0ms (5.7%)

eval38.0ms (1.5%)

prune8.0ms (0.3%)

regimes13.0ms (0.5%)

regimes4.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch1.0ms (0%)

simplify21.0ms (0.8%)

soundness217.0ms (8.6%)

preprocess44.0ms (1.7%)

end0.0ms (0%)

Profiling