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

0.3MiB live, 0.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 11 computations (0% saved)

sample1.2s (23.4%)

Memory

19.2MiB live, 1 095.1MiB allocated

Samples

897.0ms	8 251×	0	valid
1.0ms	4×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-div: 349.0ms (70% of total)

ival-mult: 88.0ms (17.6% of total)

ival-add: 38.0ms (7.6% of total)

exact: 14.0ms (2.8% of total)

ival-true: 7.0ms (1.4% of total)

ival-assert: 4.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain99.0ms (2%)

Memory

-10.9MiB live, 144.8MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

28.0ms	510×	0	valid
1.0ms	2×	5	exit

Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions

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

ival-div: 8.0ms (53.5% of total)

ival-mult: 3.0ms (20.1% of total)

ival-add: 2.0ms (13.4% of total)

exact: 1.0ms (6.7% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess32.0ms (0.6%)

Memory

11.3MiB live, 47.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	10
2	61	10
3	116	10
4	160	10
5	175	10
6	177	10
0	9	5
0	15	5
1	17	5
2	24	5
3	39	5
4	57	5
5	99	5
6	120	5
7	140	5
8	153	5
9	164	5
10	169	5
0	169	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 9 computations (0% saved)

simplify15.0ms (0.3%)

Memory

-10.7MiB live, 25.9MiB 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
2	24	15
3	39	15
4	57	15
5	99	15
6	120	15
7	140	15
8	153	15
9	164	15
10	169	15
0	169	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)

localize20.0ms (0.4%)

Memory

28.1MiB live, 28.1MiB 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	0.01171875	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.15625	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

13.0ms	255×	0	valid
0.0ms	1×	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 (54.5% of total)

ival-mult: 2.0ms (27.3% of total)

ival-add: 1.0ms (13.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

-48.1MiB live, 5.8MiB 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
7.0ms	x	@	0	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
3.0ms	x	@	inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
1.0ms	x	@	-inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

Time

Variable

Point

Expression

7.0ms

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

3.0ms

inf

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

1.0ms

-inf

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

simplify18.0ms (0.4%)

Memory

24.7MiB live, 24.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	32	14
2	66	14
3	142	14
4	222	14
5	330	14
6	471	14
7	703	14
8	714	14
0	714	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))

rewrite248.0ms (4.9%)

Memory

-7.1MiB live, 224.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	171	10
3	1455	10
0	8284	9

Stop Event

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

Counts

4 → 266

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

eval32.0ms (0.6%)

Memory: 27.9MiB live, 64.3MiB allocated
Compiler: Compiled 6 537 to 734 computations (88.8% saved)

prune11.0ms (0.2%)

Memory

-24.6MiB live, 21.5MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	263	6	269
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	6	270

Accuracy

100.0%

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.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))))
▶	52.6%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	99.7%	(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 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))
▶	70.6%	(/.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)))
▶	49.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 132 to 102 computations (22.7% saved)

simplify177.0ms (3.5%)

Memory

-18.2MiB live, 180.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff	1088	(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
cost-diff	0	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #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	26	106
0	41	100
1	58	100
2	100	100
3	236	100
4	517	100
5	1318	100
6	2526	100
7	3041	100
8	4106	100
9	4430	100
10	5413	100
11	7101	100
0	8445	100

Stop Event

1×	iter limit
1×	node limit
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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)
(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
x
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
(sqrt.f64 x)
#s(literal 4/29 binary64)
(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 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)))
x
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(*.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) x)
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(/.f64 #s(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)

localize75.0ms (1.5%)

Memory

41.9MiB live, 118.6MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.11328125	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.125	(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.1796875	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.0546875	(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
accuracy	0.0703125	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
accuracy	0.11328125	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.03515625	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.0546875	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.11328125	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	9.388292692596742	(/.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	15.145216909433655	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.04296875	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

33.0ms	135×	0	valid
27.0ms	121×	0	invalid

Compiler

Compiled 232 to 57 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

const: 14.0ms (32% of total)

ival-div: 10.0ms (22.9% of total)

ival-mult: 9.0ms (20.6% of total)

ival-add: 7.0ms (16% of total)

ival-sqrt: 3.0ms (6.9% of total)

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

exact: 0.0ms (0% of total)

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

series50.0ms (1%)

Memory

-31.1MiB live, 27.4MiB allocated

Counts

12 → 36

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 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
(sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x))
(sqrt.f64 x)
(fma.f64 x (/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 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)
(* 841/108 (sqrt x))
(sqrt 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))
(+ 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))))
(* 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))))))
(/ -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)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) 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))

Calls

3 calls:

Time	Variable		Point	Expression
42.0ms	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) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (sqrt x) (+ (* x (/ (* 707281/11664 x) (+ (* x 841/108) -4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* x 841/108) -4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
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) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (sqrt x) (+ (* x (/ (* 707281/11664 x) (+ (* x 841/108) -4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* x 841/108) -4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
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) (+ (* (sqrt (* 707281/11664 x)) (sqrt x)) 4/29) (sqrt (* 707281/11664 x)) (sqrt x) (+ (* x (/ (* 707281/11664 x) (+ (* x 841/108) -4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ (* 707281/11664 x) (+ (* x 841/108) -4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

Time

Variable

Point

Expression

42.0ms

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

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

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

simplify49.0ms (1%)

Memory

-17.5MiB live, 21.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	287
0	369	273

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

36 → 36

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)
(* 841/108 (sqrt x))
(sqrt 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))
(+ 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))))
(* 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))))))
(/ -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)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* x (- (* (sqrt -707281/11664) (sqrt -1)) (* 4/29 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -707281/11664) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

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

rewrite528.0ms (10.5%)

Memory

1.1MiB live, 353.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	79
0	41	55
1	156	55
2	1129	55
0	8579	55

Stop Event

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

Counts

12 → 1 816

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

Outputs
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(/.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)))

eval320.0ms (6.4%)

Memory: 34.5MiB live, 458.0MiB allocated
Compiler: Compiled 58 769 to 4 087 computations (93% saved)

prune30.0ms (0.6%)

Memory

20.9MiB live, 97.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 634	4	1 638
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 637	7	1 644

Accuracy

100.0%

Counts

1 644 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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))))
✓	52.6%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
▶	97.7%	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (/.f64 #s(literal -16/841 binary64) #s(approx (+ ( x 841/108) -4/29) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	23.0%	(/.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)))
✓	49.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
▶	52.1%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 85 to 69 computations (18.8% saved)

simplify168.0ms (3.3%)

Memory

-25.3MiB live, 98.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	158
0	45	158
1	78	154
2	147	154
3	392	154
4	1010	154
5	1721	154
6	2872	154
7	4062	154
8	4501	154
9	5539	154
10	7161	154
0	8533	150

Stop Event

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

Calls

Call 1

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

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

localize107.0ms (2.1%)

Memory

1.0MiB live, 163.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.07421875	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.09375	(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64))
accuracy	0.2897262695368841	(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.2897262695368841	(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))
accuracy	0.3639450195368841	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	32.36939589437821	#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))
accuracy	0.07421875	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.18541137230030147	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	18.805010022378426	(/.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	30.241330146953924	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
accuracy	0.15625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	30.339563329138514	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Samples

85.0ms	250×	0	valid
2.0ms	3×	2	valid
1.0ms	1×	5	exit
1.0ms	2×	1	valid

Compiler

Compiled 315 to 61 computations (80.6% saved)

Precisions

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

ival-mult: 34.0ms (48.7% of total)

const: 20.0ms (28.6% of total)

ival-div: 8.0ms (11.5% of total)

ival-add: 7.0ms (10% of total)

adjust: 1.0ms (1.4% of total)

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

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

series6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

17 → 40

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify165.0ms (3.3%)

Memory

-34.3MiB live, 134.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	323
1	438	319
2	1179	302
3	3623	294
0	8261	270

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 40

Calls

Call 1

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

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

rewrite190.0ms (3.8%)

Memory

14.7MiB live, 254.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	138
0	45	138
1	197	127
2	1290	127
0	8318	123

Stop Event

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

Counts

17 → 754

Calls

Call 1

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

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

eval101.0ms (2%)

Memory: 13.7MiB live, 196.6MiB allocated
Compiler: Compiled 22 375 to 2 166 computations (90.3% saved)

prune14.0ms (0.3%)

Memory

12.6MiB live, 50.3MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	746	1	747
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	748	6	754

Accuracy

100.0%

Counts

754 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(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))))
✓	52.6%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	23.0%	(/.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)))
✓	49.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	52.1%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 69 to 59 computations (14.5% saved)

simplify174.0ms (3.5%)

Memory

5.7MiB live, 131.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	20	55
1	30	55
2	61	55
3	140	55
4	280	55
5	595	55
6	1595	55
7	2466	55
8	2835	55
9	3256	55
10	4445	55
11	6167	55
12	7002	55
13	7343	55
14	7630	55
0	8009	55

Stop Event

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

Calls

Call 1

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

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

localize73.0ms (1.5%)

Memory

-16.1MiB live, 60.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 x (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 707281/11664 binary64))
accuracy	0.2897262695368841	(/.f64 #s(literal -16/841 binary64) #s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64)))
accuracy	32.36939589437821	#s(approx (+ (* x 841/108) -4/29) #s(literal -4/29 binary64))

Samples

59.0ms	250×	0	valid
4.0ms	2×	1	valid
1.0ms	4×	2	valid

Compiler

Compiled 117 to 31 computations (73.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 36.0ms (64.8% of total)

const: 12.0ms (21.6% of total)

ival-div: 4.0ms (7.2% of total)

ival-add: 3.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

series3.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

6 → 34

Calls

Call 1

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

-inf

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

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

simplify250.0ms (5%)

Memory

3.8MiB live, 160.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	297
1	416	293
2	1129	276
3	3461	268
0	8244	246

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 34

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

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

rewrite237.0ms (4.7%)

Memory

-4.8MiB live, 148.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
0	20	50
1	85	50
2	567	50
0	8373	50

Stop Event

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

Counts

6 → 464

Calls

Call 1

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

eval169.0ms (3.4%)

Memory: 14.2MiB live, 137.4MiB allocated
Compiler: Compiled 20 963 to 1 754 computations (91.6% saved)

prune61.0ms (1.2%)

Memory

-9.6MiB live, 28.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	491	0	491
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	491	6	497

Accuracy

100.0%

Counts

497 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.9%	(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))))
✓	52.6%	(fma.f64 (sqrt.f64 (*.f64 #s(literal 707281/11664 binary64) x)) (sqrt.f64 x) #s(literal 4/29 binary64))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	23.0%	(/.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)))
✓	49.2%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
✓	52.1%	#s(approx (+ (* x 841/108) 4/29) (*.f64 #s(literal 841/108 binary64) x))

Compiler

Compiled 225 to 121 computations (46.2% saved)

regimes12.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

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

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

Calls

3 calls:

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

regimes5.0ms (0.1%)

Memory

8.0MiB live, 8.0MiB 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:

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

Results

Accuracy	Segments	Branch
97.9%	3	`x`
97.9%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.9%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes29.0ms (0.6%)

Memory

-57.3MiB live, 7.0MiB 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:

26.0ms	(+.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
49.2%	1	`x`
49.2%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
49.2%	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	8.334958043424429e-12	15161131.22293054
0.0ms	-455.8483808223027	-4.9512278108957146e-8

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify43.0ms (0.8%)

Memory

17.8MiB live, 55.3MiB 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 -400 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 6189700196426901/618970019642690137449562112 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 -400 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 6189700196426901/618970019642690137449562112 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))

soundness293.0ms (5.8%)

Memory

-16.9MiB live, 107.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	287
0	369	273
0	10	14
1	32	14
2	66	14
3	142	14
4	222	14
5	330	14
6	471	14
7	703	14
8	714	14
0	714	12
0	9	10
0	15	10
1	32	10
2	171	10
3	1455	10
0	8284	9

Stop Event

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

Compiler

Compiled 119 to 64 computations (46.2% saved)

preprocess28.0ms (0.6%)

Memory: 3.5MiB live, 41.8MiB allocated
Compiler: Compiled 138 to 76 computations (44.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	13
1	27	10
2	61	10
3	116	10
4	160	10
5	175	10
6	177	10
0	9	5
0	15	5
1	17	5
2	24	5
3	39	5
4	57	5
5	99	5
6	120	5
7	140	5
8	153	5
9	164	5
10	169	5
0	169	4

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
2	24	15
3	39	15
4	57	15
5	99	15
6	120	15
7	140	15
8	153	15
9	164	15
10	169	15
0	169	14

Iter	Nodes	Cost
0	13	13
1	27	10
2	61	10
3	116	10
4	160	10
5	175	10
6	177	10
0	9	5
0	15	5
1	17	5
2	24	5
3	39	5
4	57	5
5	99	5
6	120	5
7	140	5
8	153	5
9	164	5
10	169	5
0	169	4

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
2	24	15
3	39	15
4	57	15
5	99	15
6	120	15
7	140	15
8	153	15
9	164	15
10	169	15
0	169	14

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (23.4%)

explain99.0ms (2%)

preprocess32.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify15.0ms (0.3%)

localize20.0ms (0.4%)

series11.0ms (0.2%)

simplify18.0ms (0.4%)

rewrite248.0ms (4.9%)

eval32.0ms (0.6%)

prune11.0ms (0.2%)

simplify177.0ms (3.5%)

localize75.0ms (1.5%)

series50.0ms (1%)

simplify49.0ms (1%)

rewrite528.0ms (10.5%)

eval320.0ms (6.4%)

prune30.0ms (0.6%)

simplify168.0ms (3.3%)

localize107.0ms (2.1%)

series6.0ms (0.1%)

simplify165.0ms (3.3%)

rewrite190.0ms (3.8%)

eval101.0ms (2%)

prune14.0ms (0.3%)

simplify174.0ms (3.5%)

localize73.0ms (1.5%)

series3.0ms (0.1%)

simplify250.0ms (5%)

rewrite237.0ms (4.7%)

eval169.0ms (3.4%)

prune61.0ms (1.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes29.0ms (0.6%)

bsearch1.0ms (0%)

simplify43.0ms (0.8%)

soundness293.0ms (5.8%)

preprocess28.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	13
1	27	10
2	61	10
3	116	10
4	160	10
5	175	10
6	177	10
0	9	5
0	15	5
1	17	5
2	24	5
3	39	5
4	57	5
5	99	5
6	120	5
7	140	5
8	153	5
9	164	5
10	169	5
0	169	4

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
2	24	15
3	39	15
4	57	15
5	99	15
6	120	15
7	140	15
8	153	15
9	164	15
10	169	15
0	169	14