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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

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)

sample1.1s (25.6%)

Memory

37.7MiB live, 1 409.6MiB allocated; 357ms collecting garbage

Samples

728.0ms	8 253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-div: 226.0ms (51.4% of total)

ival-add: 133.0ms (30.3% of total)

ival-mult: 55.0ms (12.5% of total)

exact: 15.0ms (3.4% of total)

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

adjust: 3.0ms (0.7% of total)

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

Bogosity

explain184.0ms (4.4%)

Memory

-8.9MiB live, 180.7MiB allocated; 22ms collecting garbage

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

91.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-add: 40.0ms (51.9% of total)

ival-div: 32.0ms (41.5% of total)

ival-mult: 3.0ms (3.9% of total)

exact: 1.0ms (1.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess20.0ms (0.5%)

Memory

5.3MiB live, 49.3MiB allocated; 7ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	23	10
2	57	10
3	101	10
4	127	10
5	130	10
0	9	5
0	15	5
1	17	5
2	24	5
3	31	5
4	43	5
5	43	5
0	43	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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

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)

simplify4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

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	1	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff	2	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff	2	(/.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	31	15
4	43	15
5	43	15
0	43	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)

localize24.0ms (0.6%)

Memory

9.3MiB live, 53.0MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0.0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.00390625	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.16015625	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

18.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 7.0ms (66.3% of total)

ival-mult: 2.0ms (18.9% of total)

ival-add: 1.0ms (9.5% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Counts

4 → 4

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify176.0ms (4.2%)

Memory

-43.3MiB live, 196.7MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	32	14
2	75	14
3	196	14
4	836	14
5	5828	14
0	8182	12

Stop Event

1×	iter limit
1×	node limit

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))

rewrite142.0ms (3.4%)

Memory

5.1MiB live, 106.9MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	171	10
0	1520	9

Stop Event

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

Counts

4 → 67

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 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (*.f64 #s(literal 29/27 binary64) x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(.f64 (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) (/.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(.f64 (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (/.f64 (-.f64 (.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 (-.f64 (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 #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 #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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (pow.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))))
(/.f64 (-.f64 #s(literal 64/24389 binary64) (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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 3 binary64)) (pow.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 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (/.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 #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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (neg.f64 (-.f64 #s(literal 16/841 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 4/29 binary64) (.f64 x #s(literal 841/108 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 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.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 2 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)) #s(literal 16/841 binary64))) (.f64 (-.f64 (.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 (fma.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)) #s(literal 64/24389 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 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 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) #s(literal 256/707281 binary64)) (.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal 16/841 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (-.f64 #s(literal 16/841 binary64) (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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (.f64 (+.f64 (fma.f64 (.f64 x x) #s(literal 841/729 binary64) #s(literal 256/707281 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #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 #s(literal 262144/14507145975869 binary64) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)) #s(literal 4096/594823321 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 24389/19683 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (neg.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64))))
(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #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))))
(neg.f64 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (neg.f64 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))))
(neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal 64/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 707281/11664 binary64) x) #s(literal 29/27 binary64)) #s(literal 16/841 binary64)))))
(fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 594823321/1259712 binary64) #s(literal -64/24389 binary64))) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x (fma.f64 #s(literal 29/27 binary64) x #s(literal 16/841 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (.f64 #s(literal 29/27 binary64) x)) (/.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 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 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 64/24389 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 2 binary64)))) (+.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (.f64 #s(literal 29/27 binary64) x)) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (/.f64 #s(literal 64/24389 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) #s(literal 3 binary64)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 29/27 binary64) x)) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 2 binary64))) (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)) (/.f64 #s(literal 841/108 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (.f64 x x) (/.f64 #s(literal 707281/11664 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (pow.f64 #s(literal 4/29 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal 4/29 binary64) #s(literal 3/2 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 x #s(literal 841/108 binary64)) #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 x #s(literal 841/108 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 3/2 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 (.f64 #s(literal -841/108 binary64) x) (/.f64 (.f64 #s(literal -841/108 binary64) x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #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)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 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 #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 #s(literal 16/841 binary64) (/.f64 #s(literal 4/29 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 x #s(literal 841/108 binary64)) #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 x #s(literal 841/108 binary64)) #s(literal 2 binary64)) (/.f64 (.f64 x #s(literal 841/108 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 x #s(literal 841/108 binary64)) (/.f64 (.f64 x #s(literal 841/108 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 (.f64 x #s(literal 841/108 binary64)) (/.f64 (pow.f64 (.f64 x #s(literal 841/108 binary64)) #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 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 16/841 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 x #s(literal 841/108 binary64)) #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 #s(literal 841/108 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 841/108 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
(-.f64 (/.f64 #s(literal 16/841 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 2 binary64)) (-.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))))
(-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(+.f64 (/.f64 #s(literal 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 x #s(literal 841/108 binary64)) #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 x #s(literal 841/108 binary64)) #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 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (-.f64 (.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 (neg.f64 (neg.f64 x)) #s(literal 841/108 binary64)))
(+.f64 #s(literal 4/29 binary64) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)

eval9.0ms (0.2%)

Memory: 28.2MiB live, 28.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 676 to 236 computations (85.9% saved)

prune9.0ms (0.2%)

Memory

-29.0MiB live, 15.6MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Accuracy

100.0%

Counts

71 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(fma.f64 (.f64 #s(literal 707281/11664 binary64) x) (/.f64 x (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
	99.7%	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.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))
▶	75.5%	(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
▶	75.5%	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
▶	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
▶	49.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 172 to 126 computations (26.7% saved)

simplify18.0ms (0.4%)

Memory

32.0MiB live, 32.0MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	6	(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff	0	(-.f64 (*.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)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -841/108 binary64) x)
cost-diff	1	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
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	27	110
0	41	102
1	59	102
2	107	102
3	242	102
4	437	102
5	555	102
6	564	102
7	574	102
8	585	102
9	586	102
0	586	102

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize92.0ms (2.2%)

Memory

-10.4MiB live, 133.7MiB allocated; 32ms collecting garbage

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
accuracy	0.16015625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	15.758264539966023	(/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.16015625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	15.688203859885526	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
accuracy	0.16015625	(*.f64 #s(literal -841/108 binary64) x)
accuracy	32.31082129812812	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.08984375	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Samples

70.0ms

256×

valid

Compiler

Compiled 118 to 30 computations (74.6% saved)

Precisions

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

const: 18.0ms (32.4% of total)

ival-div: 15.0ms (27% of total)

ival-mult: 15.0ms (27% of total)

ival-add: 5.0ms (9% of total)

ival-sub: 2.0ms (3.6% 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)

series13.0ms (0.3%)

Memory

-6.6MiB live, 39.4MiB allocated; 4ms collecting garbage

Counts

13 → 33

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 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (-.f64 (.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)
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
(/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
(*.f64 x x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #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 x)
-4/29
(- (* 841/108 x) 4/29)
(* -29/4 (pow x 2))
(* (pow x 2) (- (* -707281/1728 x) 29/4))
(* (pow x 2) (- (* x (- (* -17249876309/746496 x) 707281/1728)) 29/4))
(* (pow x 2) (- (* x (- (* x (- (* -420707233300201/322486272 x) 17249876309/746496)) 707281/1728)) 29/4))
(pow x 2)
(* 841/108 x)
(+ 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))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 108/841 x)
(* x (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (* 46656/20511149 (/ 1 x)))))
(* x (+ 108/841 (+ (/ 20155392/500246412961 (pow x 2)) (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))))))
(/ -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 (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)))
(* -1 (* x (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)))
(* -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
6.0ms	x	@	inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- 4/29 (* -841/108 x)) (* -841/108 x) (/ (+ (* (* 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) (+ (* 707281/11664 (/ (* x x) (- (* x 841/108) 4/29))) (/ -16/841 (- (* x 841/108) 4/29))) (/ (* x x) (- (* x 841/108) 4/29)) (* x x) (* x 841/108) (/ -16/841 (- (* x 841/108) 4/29)))
4.0ms	x	@	-inf	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- 4/29 (* -841/108 x)) (* -841/108 x) (/ (+ (* (* 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) (+ (* 707281/11664 (/ (* x x) (- (* x 841/108) 4/29))) (/ -16/841 (- (* x 841/108) 4/29))) (/ (* x x) (- (* x 841/108) 4/29)) (* x x) (* x 841/108) (/ -16/841 (- (* x 841/108) 4/29)))
3.0ms	x	@	0	((+ (* x 841/108) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (- 4/29 (* -841/108 x)) (* -841/108 x) (/ (+ (* (* 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) (+ (* 707281/11664 (/ (* x x) (- (* x 841/108) 4/29))) (/ -16/841 (- (* x 841/108) 4/29))) (/ (* x x) (- (* x 841/108) 4/29)) (* x x) (* x 841/108) (/ -16/841 (- (* x 841/108) 4/29)))

Time

Variable

Point

Expression

6.0ms

inf

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

4.0ms

-inf

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

3.0ms

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

simplify208.0ms (4.9%)

Memory

35.3MiB live, 264.3MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	270
1	390	262
2	1096	248
3	3824	245
0	8289	230

Stop Event

1×	iter limit
1×	node limit

Counts

33 → 33

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

rewrite471.0ms (11.2%)

Memory

-48.9MiB live, 497.6MiB allocated; 173ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	85
0	41	61
1	137	61
2	887	61
0	8610	61

Stop Event

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

Counts

13 → 1 390

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

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

eval188.0ms (4.5%)

Memory: 28.6MiB live, 306.8MiB allocated; 55ms collecting garbage
Compiler: Compiled 33 638 to 2 621 computations (92.2% saved)

prune56.0ms (1.3%)

Memory

4.0MiB live, 98.1MiB allocated; 5ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	905	5	910
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	908	9	917

Accuracy

100.0%

Counts

917 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
▶	99.9%	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	72.7%	(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.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))))
▶	96.6%	(fma.f64 #s(literal 707281/11664 binary64) #s(approx (/ (* x x) (- (* x 841/108) 4/29)) (.f64 #s(literal 108/841 binary64) x)) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
▶	75.5%	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
▶	26.7%	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	49.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 248 to 192 computations (22.6% saved)

simplify41.0ms (1%)

Memory

-20.5MiB live, 25.8MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	0	(fma.f64 #s(literal 707281/11664 binary64) (/.f64 (.f64 x x) (-.f64 (.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 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal 108/841 binary64) x)
cost-diff	0	#s(approx (/ (* x x) (- (* x 841/108) 4/29)) (*.f64 #s(literal 108/841 binary64) x))
cost-diff	0	(fma.f64 #s(literal 707281/11664 binary64) #s(approx (/ (* x x) (- (* x 841/108) 4/29)) (.f64 #s(literal 108/841 binary64) x)) (/.f64 #s(literal -16/841 binary64) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
cost-diff	0	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
cost-diff	0	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
cost-diff	0	#s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #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)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
cost-diff	0	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
cost-diff	0	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64))
cost-diff	6	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	270
0	66	270
1	101	264
2	180	264
3	414	264
4	765	264
5	960	264
6	1000	264
7	1021	264
8	1045	264
9	1056	264
10	1063	264
11	1069	264
12	1073	264
0	1073	264

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize183.0ms (4.3%)

Memory

18.2MiB live, 129.7MiB allocated; 33ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) #s(literal -4/29 binary64)))
accuracy	15.758264539966023	(/.f64 (.f64 x x) (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	32.192857725092736	#s(approx (- (* x 841/108) 4/29) #s(literal -4/29 binary64))
accuracy	0.16015625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.3046875	(*.f64 #s(literal 108/841 binary64) x)
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	30.79273983057631	#s(approx (/ (* x x) (- (* x 841/108) 4/29)) (*.f64 #s(literal 108/841 binary64) x))
accuracy	0.16015625	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.21430717717796405	(.f64 (.f64 x x) #s(literal 707281/11664 binary64))
accuracy	15.688203859885526	(/.f64 #s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) (-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal 4/29 binary64)))
accuracy	31.237935033447187	#s(approx (+ (* (* 707281/11664 x) x) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64)))
accuracy	0.07421875	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.09375	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	15.688203859885526	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
accuracy	0.09765625	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))))
accuracy	0.1328125	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64))
accuracy	0.16015625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))

Samples

160.0ms

256×

valid

Compiler

Compiled 244 to 30 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-add: 42.0ms (47.4% of total)

const: 20.0ms (22.6% of total)

ival-mult: 16.0ms (18.1% of total)

ival-div: 8.0ms (9% of total)

ival-sub: 2.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

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

series18.0ms (0.4%)

Memory

-32.2MiB live, 11.7MiB allocated; 10ms collecting garbage

Counts

25 → 50

Calls

Call 1

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

11.0ms

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

3.0ms

-inf

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

2.0ms

inf

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

simplify177.0ms (4.2%)

Memory

-1.4MiB live, 236.5MiB allocated; 23ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	444
1	489	422
2	1315	403
3	4622	399
0	8452	385

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

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

rewrite78.0ms (1.9%)

Memory

6.2MiB live, 158.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	225
0	66	225
1	217	212
0	1233	211

Stop Event

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

Counts

25 → 262

Calls

Call 1

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

eval44.0ms (1%)

Memory: 2.2MiB live, 98.0MiB allocated; 7ms collecting garbage
Compiler: Compiled 8 577 to 996 computations (88.4% saved)

prune6.0ms (0.1%)

Memory

22.4MiB live, 22.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	310	4	314
Fresh	1	0	1
Picked	5	0	5
Done	0	3	3
Total	316	7	323

Accuracy

100.0%

Counts

323 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
▶	97.1%	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	50.5%	(fma.f64 #s(literal 707281/11664 binary64) #s(approx (/ (* x x) (- (* x 841/108) 4/29)) (.f64 #s(literal 108/841 binary64) x)) #s(approx (/ -16/841 (- ( x 841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
▶	75.5%	(/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	49.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 111 to 83 computations (25.2% saved)

simplify57.0ms (1.4%)

Memory

-36.1MiB live, 11.3MiB allocated; 1ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #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) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
cost-diff	5	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
cost-diff	0	(-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (-.f64 (*.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64)))
cost-diff	0	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64))
cost-diff	0	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))))
cost-diff	0	#s(approx (/ -16/841 (- (* x 841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
cost-diff	0	(*.f64 #s(literal 108/841 binary64) x)
cost-diff	0	#s(approx (/ (* x x) (- (* x 841/108) 4/29)) (*.f64 #s(literal 108/841 binary64) x))
cost-diff	0	(fma.f64 #s(literal 707281/11664 binary64) #s(approx (/ (* x x) (- (* x 841/108) 4/29)) (.f64 #s(literal 108/841 binary64) x)) #s(approx (/ -16/841 (- ( x 841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
cost-diff	0	#s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	247
0	57	236
1	90	236
2	166	236
3	385	236
4	698	236
5	859	236
6	887	236
7	899	236
8	912	236
9	915	236
10	922	236
11	928	236
12	932	236
0	932	236

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize178.0ms (4.2%)

Memory

21.5MiB live, 160.2MiB allocated; 48ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
accuracy	0.3678512695368841	(/.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
accuracy	0.1328125	(.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64))
accuracy	0.16015625	(*.f64 #s(literal 841/108 binary64) x)
accuracy	0.30697250976844204	(/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64)))
accuracy	32.192857725092736	#s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))
accuracy	0.3046875	(*.f64 #s(literal 108/841 binary64) x)
accuracy	0.36328125	(/.f64 #s(literal -1728/707281 binary64) x)
accuracy	30.79273983057631	#s(approx (/ (* x x) (- (* x 841/108) 4/29)) (*.f64 #s(literal 108/841 binary64) x))
accuracy	31.480797186875613	#s(approx (/ -16/841 (- (* x 841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x))
accuracy	0.0	#s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
accuracy	0.08822250976844201	(fma.f64 (*.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64))
accuracy	0.09375	(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
accuracy	15.688203859885526	(/.f64 (fma.f64 (.f64 x x) #s(literal 707281/11664 binary64) #s(literal -16/841 binary64)) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))

Samples

159.0ms

256×

valid

Compiler

Compiled 199 to 34 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

const: 53.0ms (49.6% of total)

ival-mult: 34.0ms (31.8% of total)

ival-div: 11.0ms (10.3% of total)

ival-add: 6.0ms (5.6% of total)

ival-sub: 2.0ms (1.9% of total)

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

adjust: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Counts

21 → 50

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

2.0ms

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

simplify148.0ms (3.5%)

Memory

15.8MiB live, 152.6MiB allocated; 13ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	444
1	489	422
2	1315	403
3	4627	399
0	8469	385

Stop Event

1×	iter limit
1×	node limit

Counts

50 → 50

Calls

Call 1

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

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

rewrite83.0ms (2%)

Memory

-19.4MiB live, 80.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	213
0	57	202
1	199	202
0	1201	202

Stop Event

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

Counts

21 → 215

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal -16/841 binary64)) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (-.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))) (pow.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 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 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))) (neg.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) (neg.f64 #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal 16/841 binary64))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (neg.f64 #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(literal -16/841 binary64))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (fma.f64 #s(literal 16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (neg.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))) (.f64 (neg.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (fma.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) (.f64 (.f64 #s(literal 707281/11664 binary64) x) x))) (.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal -16/841 binary64)) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal 2 binary64)) #s(literal 256/707281 binary64)) (.f64 (-.f64 (.f64 (.f64 #s(literal 707281/11664 binary64) x) x) #s(literal -16/841 binary64)) #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
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(+.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 #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 1728/707281 binary64) (neg.f64 x))
(/.f64 #s(literal -1728/707281 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1728/707281 binary64) x)
(neg.f64 (/.f64 #s(literal 1728/707281 binary64) x))
(neg.f64 (/.f64 #s(literal -1728/707281 binary64) (neg.f64 x)))
#s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))
(.f64 #s(literal -4/29 binary64) (/.f64 #s(literal -4/29 binary64) (neg.f64 #s(approx (- ( 841/108 x) 4/29) #s(literal -4/29 binary64)))))
(.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 4/29 binary64) (neg.f64 #s(approx (- ( 841/108 x) 4/29) #s(literal -4/29 binary64)))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64)))))
(/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64)))
(neg.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (neg.f64 #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64)))))
(*.f64 #s(literal 841/108 binary64) x)
(*.f64 x #s(literal 841/108 binary64))
(.f64 #s(literal -4/29 binary64) (/.f64 #s(literal -4/29 binary64) (neg.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(.f64 #s(literal 4/29 binary64) (/.f64 #s(literal 4/29 binary64) (neg.f64 #s(approx (- ( 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 #s(literal 16/841 binary64) (neg.f64 #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(/.f64 #s(literal -16/841 binary64) (neg.f64 (neg.f64 #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))
(/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
(neg.f64 (/.f64 #s(literal 16/841 binary64) #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))))
(neg.f64 (/.f64 #s(literal -16/841 binary64) (neg.f64 #s(approx (- (* 841/108 x) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))))

eval35.0ms (0.8%)

Memory: -10.1MiB live, 79.0MiB allocated; 6ms collecting garbage
Compiler: Compiled 8 384 to 867 computations (89.7% saved)

prune9.0ms (0.2%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	261	2	263
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	263	7	270

Accuracy

100.0%

Counts

270 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(fma.f64 x (/.f64 (.f64 #s(literal 707281/11664 binary64) x) #s(approx (- ( x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* x 841/108) 4/29) #s(literal -4/29 binary64))))
✓	97.1%	(fma.f64 x (.f64 (/.f64 x (-.f64 (.f64 #s(literal 841/108 binary64) x) #s(literal 4/29 binary64))) #s(literal 707281/11664 binary64)) (/.f64 #s(literal -16/841 binary64) #s(approx (- (* 841/108 x) 4/29) #s(literal -4/29 binary64))))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	50.5%	(fma.f64 #s(literal 707281/11664 binary64) #s(approx (/ (* x x) (- (* x 841/108) 4/29)) (.f64 #s(literal 108/841 binary64) x)) #s(approx (/ -16/841 (- ( x 841/108) 4/29)) (/.f64 #s(literal -1728/707281 binary64) x)))
	26.7%	(/.f64 #s(approx (+ (* (* x x) 707281/11664) -16/841) (.f64 (.f64 x x) #s(literal 707281/11664 binary64))) #s(approx (- (* x 841/108) 4/29) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
✓	99.9%	(-.f64 #s(literal 4/29 binary64) (*.f64 #s(literal -841/108 binary64) x))
✓	49.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 446 to 179 computations (59.9% saved)

regimes31.0ms (0.7%)

Memory

-38.0MiB live, 55.2MiB allocated; 16ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

14.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
12.0ms	x
5.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes13.0ms (0.3%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

16 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Compiler

Compiled 15 to 15 computations (0% saved)

regimes3.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
49.5%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
49.5%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
49.5%	1	`x`

Compiler

Compiled 15 to 15 computations (0% saved)

simplify14.0ms (0.3%)

Memory

-28.7MiB live, 18.6MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	29
1	27	29
2	42	29
3	65	29
4	97	29
5	128	29
6	130	29

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

derivations313.0ms (7.4%)

Memory

38.1MiB live, 269.3MiB allocated; 36ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	32	14
2	75	14
3	196	14
4	836	14
5	5828	14
0	8182	12
0	27	85
0	41	61
1	137	61
2	887	61
0	8610	61
0	9	10
0	15	10
1	32	10
2	171	10
0	1520	9

Stop Event

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

preprocess81.0ms (1.9%)

Memory: -14.4MiB live, 91.7MiB allocated; 44ms collecting garbage
Compiler: Compiled 84 to 60 computations (28.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	13	13
1	23	10
2	57	10
3	101	10
4	127	10
5	130	10
0	9	5
0	15	5
1	17	5
2	24	5
3	31	5
4	43	5
5	43	5
0	43	4

Iter	Nodes	Cost
0	27	110
0	41	102
1	59	102
2	107	102
3	242	102
4	437	102
5	555	102
6	564	102
7	574	102
8	585	102
9	586	102
0	586	102

Iter	Nodes	Cost
0	36	247
0	57	236
1	90	236
2	166	236
3	385	236
4	698	236
5	859	236
6	887	236
7	899	236
8	912	236
9	915	236
10	922	236
11	928	236
12	932	236
0	932	236

Iter	Nodes	Cost
0	13	13
1	23	10
2	57	10
3	101	10
4	127	10
5	130	10
0	9	5
0	15	5
1	17	5
2	24	5
3	31	5
4	43	5
5	43	5
0	43	4

Iter	Nodes	Cost
0	27	110
0	41	102
1	59	102
2	107	102
3	242	102
4	437	102
5	555	102
6	564	102
7	574	102
8	585	102
9	586	102
0	586	102

Iter	Nodes	Cost
0	36	247
0	57	236
1	90	236
2	166	236
3	385	236
4	698	236
5	859	236
6	887	236
7	899	236
8	912	236
9	915	236
10	922	236
11	928	236
12	932	236
0	932	236

start0.0ms (0%)

analyze0.0ms (0%)

sample1.1s (25.6%)

explain184.0ms (4.4%)

preprocess20.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize24.0ms (0.6%)

series2.0ms (0%)

simplify176.0ms (4.2%)

rewrite142.0ms (3.4%)

eval9.0ms (0.2%)

prune9.0ms (0.2%)

simplify18.0ms (0.4%)

localize92.0ms (2.2%)

series13.0ms (0.3%)

simplify208.0ms (4.9%)

rewrite471.0ms (11.2%)

eval188.0ms (4.5%)

prune56.0ms (1.3%)

simplify41.0ms (1%)

localize183.0ms (4.3%)

series18.0ms (0.4%)

simplify177.0ms (4.2%)

rewrite78.0ms (1.9%)

eval44.0ms (1%)

prune6.0ms (0.1%)

simplify57.0ms (1.4%)

localize178.0ms (4.2%)

series7.0ms (0.2%)

simplify148.0ms (3.5%)

rewrite83.0ms (2%)

eval35.0ms (0.8%)

prune9.0ms (0.2%)

regimes31.0ms (0.7%)

regimes13.0ms (0.3%)

regimes3.0ms (0.1%)

simplify14.0ms (0.3%)

derivations313.0ms (7.4%)

preprocess81.0ms (1.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	13
1	23	10
2	57	10
3	101	10
4	127	10
5	130	10
0	9	5
0	15	5
1	17	5
2	24	5
3	31	5
4	43	5
5	43	5
0	43	4

Iter	Nodes	Cost
0	27	110
0	41	102
1	59	102
2	107	102
3	242	102
4	437	102
5	555	102
6	564	102
7	574	102
8	585	102
9	586	102
0	586	102

Iter	Nodes	Cost
0	36	247
0	57	236
1	90	236
2	166	236
3	385	236
4	698	236
5	859	236
6	887	236
7	899	236
8	912	236
9	915	236
10	922	236
11	928	236
12	932	236
0	932	236