Metrics for Linear.Quaternion:$cexp from linear-1.19.1.3

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.2%)

Memory

-12.3MiB live, 26.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.2s (18.7%)

Memory

-142.5MiB live, 1 104.3MiB allocated

Samples

922.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 677.0ms

ival-sin: 458.0ms (67.6% of total)

ival-mult: 132.0ms (19.5% of total)

ival-div: 78.0ms (11.5% of total)

ival-true: 6.0ms (0.9% of total)

ival-assert: 4.0ms (0.6% of total)

Bogosity

explain127.0ms (2%)

Memory

-33.5MiB live, 62.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sin.f64 y)`
-	-	`y`
-	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
-	-	`(/.f64 (sin.f64 y) y)`
-	-	`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

31.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-sin: 12.0ms (61.3% of total)

ival-div: 4.0ms (20.4% of total)

ival-mult: 3.0ms (15.3% of total)

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

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

preprocess49.0ms (0.8%)

Memory

2.9MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	122	32
3	323	32
4	1115	32
5	1847	32
6	1940	32
7	1974	32
8	2002	32
9	2014	32
10	2014	32
0	5	6
0	8	6
1	11	6
2	13	6
3	15	6
4	16	6
0	16	6

Stop Event

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

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 (sin.f64 y) y)
cost-diff	0	(*.f64 x (/.f64 (sin.f64 y) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	11	14
2	13	14
3	15	14
4	16	14
0	16	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y

localize31.0ms (0.5%)

Memory

-10.2MiB live, 27.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.10546875	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.12109375	(/.f64 (sin.f64 y) y)

Samples

26.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 13.0ms (63.8% of total)

ival-sin: 6.0ms (29.5% of total)

ival-mult: 2.0ms (9.8% of total)

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

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

series6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

3 → 15

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)

Outputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify259.0ms (4.1%)

Memory

4.7MiB live, 160.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	118	150
2	310	140
3	908	138
4	1439	138
5	2228	138
6	3353	138
7	3636	138
8	4364	138
9	6802	138
0	8471	120

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(/ (sin y) y)
(sin y)

Outputs
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 (.f64 y y) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(sin y)
(sin.f64 y)

rewrite70.0ms (1.1%)

Memory

14.1MiB live, 51.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1807	12

Stop Event

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

Counts

3 → 153

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(sin.f64 y)

Outputs
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(.f64 (.f64 (*.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 x (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) x))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (sin.f64 y) x))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 (neg.f64 x) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) x) (.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (*.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(/.f64 x (/.f64 y (sin.f64 y)))
(neg.f64 (/.f64 (neg.f64 x) (/.f64 y (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(fma.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64) (*.f64 (/.f64 (sin.f64 y) y) x))
(fma.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y) (*.f64 (/.f64 (sin.f64 y) y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) (.f64 (/.f64 (sin.f64 y) y) x))
(+.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal 0 binary64)) (.f64 (/.f64 (sin.f64 y) y) x))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (.f64 y y))) y)
(.f64 (/.f64 (neg.f64 (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (.f64 y y))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(.f64 (.f64 (sin.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (sin.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 y (sin.f64 y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y (sin.f64 y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y)) (sin.f64 y))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (/.f64 (neg.f64 (sin.f64 y)) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 y (sin.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 y (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (sin.f64 y) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))) (.f64 (neg.f64 y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) (sin.f64 y))) (.f64 y y))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))) (neg.f64 y)) (.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (neg.f64 (sin.f64 y)) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 (sin.f64 y) y))
(+.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 y)) #s(literal 3 binary64))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (pow.f64 (sin.f64 y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (sin.f64 (neg.f64 y)))
(neg.f64 (neg.f64 (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(sin.f64 y)
(-.f64 (.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 (neg.f64 y))) (.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 (neg.f64 y))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 y))
(+.f64 (sin.f64 y) #s(literal 0 binary64))

eval57.0ms (0.9%)

Memory: -14.2MiB live, 34.5MiB allocated
Compiler: Compiled 1 933 to 449 computations (76.8% saved)

prune8.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	155	11	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	155	12	167

Accuracy

100.0%

Counts

167 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.1%	(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
▶	90.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	67.4%	(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	89.8%	(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
▶	56.6%	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
	91.3%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
▶	48.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	48.4%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	49.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 234 to 183 computations (21.8% saved)

simplify210.0ms (3.3%)

Memory

-15.5MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff	640	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
cost-diff	-384	(/.f64 (*.f64 (sin.f64 y) x) y)
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	0	(/.f64 x (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	143
0	41	137
1	75	137
2	177	135
3	729	135
4	2556	135
5	4222	135
6	5366	135
7	6384	135
8	7218	135
9	7489	135
10	7652	135
0	8309	135

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 y y)

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
x
(/.f64 y (sin.f64 y))
y
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)
x
#s(approx (/ (sin y) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x)
x
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
x
(sin.f64 y)
y
(neg.f64 (*.f64 y y))
(*.f64 (neg.f64 y) y)
(*.f64 y y)

localize141.0ms (2.2%)

Memory

13.5MiB live, 93.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.1171875	(*.f64 (neg.f64 x) (sin.f64 y))
accuracy	11.47326928134898	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
accuracy	15.916275809122531	(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))
accuracy	0.0	(sin.f64 y)
accuracy	0.1171875	(*.f64 (sin.f64 y) x)
accuracy	6.191443522706065	(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy	0.0546875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.09375	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.10546875	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	32.970249359184365	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.10546875	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	32.41668377415955	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 y)
accuracy	0.09765625	(/.f64 x (/.f64 y (sin.f64 y)))
accuracy	0.12890625	(/.f64 y (sin.f64 y))

Samples

125.0ms

256×

valid

Compiler

Compiled 263 to 48 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 39.0ms (60.3% of total)

ival-div: 8.0ms (12.4% of total)

ival-sin: 7.0ms (10.8% of total)

const: 6.0ms (9.3% of total)

ival-add: 2.0ms (3.1% of total)

ival-neg: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series58.0ms (0.9%)

Memory

-12.8MiB live, 23.2MiB allocated

Counts

15 → 42

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))

Outputs
(/ (* x (sin y)) y)
(* x (sin y))
(* -1 (* x (sin y)))
(* -1 x)
(/ (* x (sin y)) (pow y 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/ y (sin y))
(sin y)
(/ (sin y) y)
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	x	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (sin y) x) (/ (* (sin y) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms	y	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (sin y) x) (/ (* (sin y) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms	y	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (sin y) x) (/ (* (sin y) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms	y	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (sin y) x) (/ (* (sin y) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (/ (* (neg x) (sin y)) (neg (* y y))))
2.0ms	x	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (* (sin y) x) (/ (* (sin y) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (/ (* (neg x) (sin y)) (neg (* y y))))

simplify396.0ms (6.3%)

Memory

-1.7MiB live, 163.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	445
1	301	442
2	859	420
3	2582	408
4	4589	408
5	7141	404
0	8088	361

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (sin y))
(* -1 (* x (sin y)))
(* -1 x)
(/ (* x (sin y)) (pow y 2))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/ y (sin y))
(sin y)
(/ (sin y) y)
(* 1/120 (pow y 4))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))

Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* -1 (* x (sin y)))
(*.f64 (neg.f64 x) (sin.f64 y))
(* -1 x)
(neg.f64 x)
(/ (* x (sin y)) (pow y 2))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow y 2)) 1/6)
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* 1/6 (* x (pow y 2)))))
(*.f64 (neg.f64 x) (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y))
(* y (+ (* -1 x) (* (pow y 2) (+ (* -1/120 (* x (pow y 2))) (* 1/6 x)))))
(.f64 (.f64 x (fma.f64 (.f64 y y) (fma.f64 #s(literal -1/120 binary64) (.f64 y y) #s(literal 1/6 binary64)) #s(literal -1 binary64))) y)
(* y (+ (* -1 x) (* (pow y 2) (+ (* 1/6 x) (* (pow y 2) (+ (* -1/120 x) (* 1/5040 (* x (pow y 2)))))))))
(.f64 (neg.f64 y) (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (.f64 #s(literal 1/6 binary64) y)) x)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(.f64 x (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) #s(literal 1 binary64)) y) (.f64 #s(literal 1/6 binary64) y)))
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x) y)
(/ y (sin y))
(/.f64 y (sin.f64 y))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* 1/120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow y 4) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y) y)
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(* 1/120 (pow y 2))
(.f64 #s(literal 1/120 binary64) (.f64 y y))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))

rewrite481.0ms (7.7%)

Memory

-20.0MiB live, 145.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	116
0	41	110
1	130	108
2	733	108
3	7062	108
0	8229	108

Stop Event

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

Counts

15 → 952

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (sin.f64 y))
(sin.f64 y)
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ (sin y) y) #s(literal 1 binary64))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
(*.f64 (sin.f64 y) x)
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(*.f64 (neg.f64 x) (sin.f64 y))
(neg.f64 x)
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))

Outputs
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (.f64 (.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (.f64 y y))
(.f64 (/.f64 (.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(.f64 (/.f64 y (.f64 (/.f64 y x) y)) (sin.f64 y))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y))
(.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (.f64 (.f64 (.f64 y x) (neg.f64 (sin.f64 y))) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 y (/.f64 (neg.f64 x) y)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (.f64 y (/.f64 (neg.f64 (sin.f64 y)) y)) (/.f64 (neg.f64 x) y))
(.f64 (.f64 y (/.f64 x y)) (/.f64 (sin.f64 y) y))
(.f64 (.f64 y (/.f64 (sin.f64 y) y)) (/.f64 x y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 y (neg.f64 (sin.f64 y))) (/.f64 (/.f64 (neg.f64 x) y) y))
(.f64 (.f64 y x) (/.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) x)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 y (/.f64 y x)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 y (/.f64 y (sin.f64 y))) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (/.f64 y #s(literal -1 binary64)) (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (/.f64 (.f64 (sin.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (.f64 (sin.f64 y) y) (*.f64 x (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (neg.f64 y) x) (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (/.f64 (/.f64 y x) (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (/.f64 (/.f64 (sin.f64 y) y) y) (/.f64 (.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (.f64 (sin.f64 y) y) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 y (/.f64 (neg.f64 y) (sin.f64 y))))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 (sin.f64 y) y) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 y (/.f64 (neg.f64 y) x)))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (.f64 (neg.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(.f64 (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 (sin.f64 y) x) y) (pow.f64 y #s(literal -2 binary64)))
(.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)) (*.f64 (neg.f64 y) x))
(.f64 (/.f64 x y) (.f64 (/.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (/.f64 y (/.f64 y (sin.f64 y))))
(.f64 (/.f64 x y) (/.f64 (.f64 (sin.f64 y) y) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (*.f64 y x) (neg.f64 (sin.f64 y))) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))) (/.f64 y #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))) (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)))
(.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) x))))
(.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (.f64 (*.f64 y x) (neg.f64 (sin.f64 y))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y (/.f64 (/.f64 y (sin.f64 y)) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 y) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 (sin.f64 y) x))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (neg.f64 (sin.f64 y)) (.f64 (/.f64 (/.f64 (neg.f64 x) y) y) y))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 y (.f64 (/.f64 (neg.f64 y) x) y)))
(.f64 (neg.f64 (sin.f64 y)) (/.f64 (.f64 (neg.f64 y) x) (*.f64 y y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(.f64 (neg.f64 y) (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 y) y) x) y) y)
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(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (neg.f64 (sin.f64 y)) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) y))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 y x))
(/.f64 (sin.f64 y) (*.f64 (/.f64 y x) y))
(/.f64 x (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y)))
(/.f64 x (*.f64 (/.f64 y (sin.f64 y)) y))
(/.f64 x (*.f64 y (/.f64 y (sin.f64 y))))
(neg.f64 (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(fma.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)) #s(literal 0 binary64) (/.f64 (.f64 (/.f64 (sin.f64 y) y) x) y))
(fma.f64 #s(literal 0 binary64) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)) (/.f64 (.f64 (/.f64 (sin.f64 y) y) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (*.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x (pow.f64 y #s(literal -2 binary64))) (neg.f64 (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (/.f64 y (sin.f64 y)) x) y)) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y))) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y))
(+.f64 (.f64 (.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (sin.f64 y)) #s(literal 0 binary64)) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) y))

eval121.0ms (1.9%)

Memory: 36.0MiB live, 73.2MiB allocated
Compiler: Compiled 13 603 to 2 219 computations (83.7% saved)

prune184.0ms (2.9%)

Memory

-23.5MiB live, 56.4MiB allocated

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	685	10	695
Fresh	3	3	6
Picked	1	4	5
Done	0	1	1
Total	689	18	707

Accuracy

100.0%

Counts

707 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	91.1%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	40.0%	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	59.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	59.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	59.6%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶	56.6%	(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
	72.7%	(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) y)) y)
	73.1%	(.f64 (/.f64 x (.f64 (/.f64 y (sin.f64 y)) y)) y)
	91.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	50.2%	(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
✓	48.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	48.4%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	49.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
▶	48.4%	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))

Compiler

Compiled 362 to 260 computations (28.2% saved)

simplify87.0ms (1.4%)

Memory

12.9MiB live, 86.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(sin.f64 y)
cost-diff	0	(*.f64 (sin.f64 y) x)
cost-diff	1024	(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
cost-diff	0	(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (sin y) x) (*.f64 y x))
cost-diff	0	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
cost-diff	0	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
cost-diff	0	(neg.f64 (sin.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	199
0	54	198
1	97	195
2	208	189
3	491	189
4	1259	189
5	3059	189
6	6127	189
0	8189	189

Stop Event

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

Calls

Call 1

Inputs
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 (sin.f64 y))
(sin.f64 y)
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
(*.f64 y y)
y
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 y y)

Outputs
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 (sin.f64 y))
(sin.f64 y)
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
y
x
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
#s(literal 31/15120 binary64)
(*.f64 y y)
y
#s(literal 7/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1 binary64)
(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
y
x
(*.f64 y y)

localize113.0ms (1.8%)

Memory

-17.9MiB live, 187.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.1171875	(*.f64 (sin.f64 y) x)
accuracy	11.47326928134898	(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
accuracy	15.916275809122531	(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
accuracy	0.09765625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.19597626953688405	(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
accuracy	32.6405282285375	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	6.191443522706065	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
accuracy	32.45513803179091	#s(approx (* (sin y) x) (*.f64 y x))
accuracy	0.0	(*.f64 y y)
accuracy	0.3021995363359394	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
accuracy	4.632443656272053	(.f64 (.f64 y y) x)
accuracy	32.99217687812728	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(neg.f64 (sin.f64 y))
accuracy	0.10546875	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))

Samples

77.0ms

256×

valid

Compiler

Compiled 356 to 64 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 16.0ms (32.2% of total)

ival-div: 11.0ms (22.1% of total)

const: 11.0ms (22.1% of total)

ival-sin: 6.0ms (12.1% of total)

ival-add: 4.0ms (8% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

20 → 55

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))

Outputs
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ -1 y)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
7/360
(+ 7/360 (* 31/15120 (pow y 2)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/ (sin y) y)
(* -1 (sin y))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ y (sin y))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(sin y)
(* 31/15120 (pow y 2))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* (/ (* (sin y) x) (* y y)) y) (* (sin y) x) (sin y) (+ (* 31/15120 (* y y)) 7/360) (/ (* (sin y) x) (* y y)))
3.0ms	y	@	inf	((* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* (/ (* (sin y) x) (* y y)) y) (* (sin y) x) (sin y) (+ (* 31/15120 (* y y)) 7/360) (/ (* (sin y) x) (* y y)))
3.0ms	x	@	-inf	((* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* (/ (* (sin y) x) (* y y)) y) (* (sin y) x) (sin y) (+ (* 31/15120 (* y y)) 7/360) (/ (* (sin y) x) (* y y)))
2.0ms	x	@	inf	((* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* (/ (* (sin y) x) (* y y)) y) (* (sin y) x) (sin y) (+ (* 31/15120 (* y y)) 7/360) (/ (* (sin y) x) (* y y)))
2.0ms	x	@	0	((* (/ -1 y) (neg (sin y))) (* x (* (/ -1 y) (neg (sin y)))) (/ -1 y) (neg (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* y y) x) (* y y) (/ (* (sin y) x) y) (* (sin y) x) (* y x) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* (/ (* (sin y) x) (* y y)) y) (* (sin y) x) (sin y) (+ (* 31/15120 (* y y)) 7/360) (/ (* (sin y) x) (* y y)))

simplify202.0ms (3.2%)

Memory

4.4MiB live, 235.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	546
1	339	546
2	879	516
3	2621	508
4	5075	508
0	8403	454

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 53

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (pow y 2))
(* x (sin y))
(* x y)
(/ (* x (sin y)) (pow y 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(/ -1 y)
(* -1 y)
(* y (- (* 1/6 (pow y 2)) 1))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(pow y 2)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
7/360
(+ 7/360 (* 31/15120 (pow y 2)))
(/ x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/ (sin y) y)
(* -1 (sin y))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ y (sin y))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(sin y)
(* 31/15120 (pow y 2))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))

Outputs
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (sin y))
(*.f64 (sin.f64 y) x)
(* x y)
(*.f64 x y)
(/ (* x (sin y)) (pow y 2))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) y) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (* 1/6 (pow y 2)) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 y))
(* y (- (* (pow y 2) (+ 1/6 (* -1/120 (pow y 2)))) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal -1/120 binary64) (*.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y))
(* y (- (* (pow y 2) (+ 1/6 (* (pow y 2) (- (* 1/5040 (pow y 2)) 1/120)))) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (neg.f64 y))
(pow y 2)
(*.f64 y y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y) x)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))
(.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))) y)
(* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))
(.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x) y)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
7/360
#s(literal 7/360 binary64)
(+ 7/360 (* 31/15120 (pow y 2)))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1/6 (* x (pow y 2)))) y)
(fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))) y)
(/.f64 (.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) y)
(/ (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))) y)
(/.f64 (fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x) y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1 (sin y))
(neg.f64 (sin.f64 y))
(* -1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* 31/15120 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 31/15120 binary64))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 31/15120 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 31/15120 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 31/15120 binary64)) (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64) #s(literal 1 binary64)))
(* 31/15120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 31/15120 binary64))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)) y) y)
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(sin y)
(sin.f64 y)
(* 31/15120 (pow y 2))
(.f64 #s(literal 31/15120 binary64) (.f64 y y))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))

rewrite154.0ms (2.4%)

Memory

20.5MiB live, 214.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	175
0	54	174
1	188	165
2	1102	165
0	8428	165

Stop Event

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

Counts

20 → 734

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(/.f64 #s(literal -1 binary64) y)
(neg.f64 (sin.f64 y))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x)
(.f64 (.f64 y y) x)
(*.f64 y y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (* (sin y) x) (*.f64 y x))
(*.f64 y x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
(*.f64 (sin.f64 y) x)
(sin.f64 y)
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))

Outputs
(*.f64 (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (sin.f64 y))
(*.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (sin.f64 y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (sin.f64 y)) y))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 (sin.f64 y)) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 y)) y)))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64))) #s(literal -1 binary64)) (.f64 (sin.f64 y) y))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64)) y))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 (neg.f64 y) (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (.f64 y (sin.f64 y)))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64)))) (.f64 y (fma.f64 (sin.f64 y) (sin.f64 y) #s(literal 0 binary64))))
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
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(/.f64 #s(literal -1 binary64) (.f64 (/.f64 (neg.f64 y) (.f64 x (sin.f64 y))) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) (/.f64 (neg.f64 y) (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 (/.f64 y (sin.f64 y)) x))))
(neg.f64 (/.f64 (*.f64 (/.f64 (sin.f64 y) y) x) (neg.f64 y)))
(neg.f64 (/.f64 (*.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) y))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y))))
(neg.f64 (.f64 (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) (pow.f64 y #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) y)))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 (/.f64 y (sin.f64 y)) x))) #s(literal -1 binary64)))

eval184.0ms (2.9%)

Memory: -8.0MiB live, 235.9MiB allocated
Compiler: Compiled 17 718 to 2 684 computations (84.9% saved)

prune26.0ms (0.4%)

Memory

6.5MiB live, 84.6MiB allocated

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	756	9	765
Fresh	3	5	8
Picked	2	3	5
Done	0	5	5
Total	761	22	783

Accuracy

100.0%

Counts

783 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	91.1%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	40.0%	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	59.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	59.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	59.6%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	56.6%	(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
	72.7%	(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) y)) y)
	73.1%	(.f64 (/.f64 x (.f64 (/.f64 y (sin.f64 y)) y)) y)
▶	91.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	50.2%	(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
✓	48.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	48.4%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	49.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.4%	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
	48.4%	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
	48.3%	#s(approx (/ x (/ y (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))))
	48.4%	#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))
▶	2.8%	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))

Compiler

Compiled 535 to 374 computations (30.1% saved)

simplify26.0ms (0.4%)

Memory

-16.9MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
cost-diff	0	(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
cost-diff	-384	(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	328
0	61	328
1	98	328
2	148	326
3	247	326
4	311	326
5	320	326
6	320	326
7	384	326
8	405	326
9	537	326
10	567	326
11	627	326
12	657	326
13	657	326
0	657	313

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
(.f64 #s(literal 31/15120 binary64) (.f64 y y))
#s(literal 31/15120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

Outputs
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 x y)
x
y
(sin.f64 y)
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 y y) x)
(*.f64 y y)
y
x
#s(literal -1/6 binary64)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))) x)
x
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
x
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(*.f64 y y)
y
#s(literal 1 binary64)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))))
x
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
#s(approx (/ y (sin y)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64))))
(fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
(.f64 #s(literal 31/15120 binary64) (.f64 y y))
#s(literal 31/15120 binary64)
(*.f64 y y)
y
#s(literal 1/6 binary64)
#s(literal 1 binary64)

localize107.0ms (1.7%)

Memory

19.1MiB live, 133.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	0.3535538086106521	(.f64 #s(literal 31/15120 binary64) (.f64 y y))
accuracy	29.476062684995316	#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
accuracy	32.6405282285375	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.01953125	(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.09765625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	32.58386381537621	#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
accuracy	32.6405282285375	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.10546875	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	0.1328125	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	33.09058472056659	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0.3998557863359394	(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
accuracy	4.632443656272053	(.f64 (.f64 y y) x)
accuracy	29.75070707639577	#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
accuracy	32.99217687812728	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sin.f64 y)
accuracy	5.585399061406789	(*.f64 (/.f64 x y) (sin.f64 y))

Samples

87.0ms

256×

valid

Compiler

Compiled 511 to 71 computations (86.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 20.0ms (39.9% of total)

const: 11.0ms (22% of total)

ival-div: 7.0ms (14% of total)

ival-add: 6.0ms (12% of total)

ival-sin: 6.0ms (12% of total)

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

exact: 0.0ms (0% of total)

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

series17.0ms (0.3%)

Memory

-19.4MiB live, 25.4MiB allocated

Counts

20 → 42

Calls

Call 1

Inputs
(/.f64 x y)
(sin.f64 y)
(*.f64 (/.f64 x y) (sin.f64 y))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 y y) x)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
(.f64 #s(literal 31/15120 binary64) (.f64 y y))

Outputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
7/360
(+ 7/360 (* 31/15120 (pow y 2)))
(* 31/15120 (pow y 2))
(sin y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	((/ x y) (sin y) (* (/ x y) (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (+ (* 31/15120 (* y y)) 7/360) (* 31/15120 (* y y)))
3.0ms	y	@	-inf	((/ x y) (sin y) (* (/ x y) (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (+ (* 31/15120 (* y y)) 7/360) (* 31/15120 (* y y)))
2.0ms	y	@	inf	((/ x y) (sin y) (* (/ x y) (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (+ (* 31/15120 (* y y)) 7/360) (* 31/15120 (* y y)))
2.0ms	x	@	-inf	((/ x y) (sin y) (* (/ x y) (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (+ (* 31/15120 (* y y)) 7/360) (* 31/15120 (* y y)))
2.0ms	x	@	0	((/ x y) (sin y) (* (/ x y) (sin y)) (/ x (/ y (sin y))) (+ (* (* (* y y) x) -1/6) x) (* (* (* y y) x) -1/6) (* (* y y) x) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (* y y)) 1) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) (+ (* 31/15120 (* y y)) 7/360) (* 31/15120 (* y y)))

simplify176.0ms (2.8%)

Memory

5.1MiB live, 232.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	376
1	266	376
2	691	362
3	1976	360
4	3944	360
5	7748	360
0	8082	320

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 40

Calls

Call 1

Inputs
(/ x y)
(/ (* x (sin y)) y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* x (pow y 2))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(pow y 2)
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
7/360
(+ 7/360 (* 31/15120 (pow y 2)))
(* 31/15120 (pow y 2))
(sin y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(/ (sin y) y)
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* 31/15120 (pow y 6))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* 31/15120 (pow y 4))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))

Outputs
(/ x y)
(/.f64 x y)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(* x (+ 1 (* -1/6 (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(* -1/6 (* x (pow y 2)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/6 binary64) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 7/360 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
7/360
#s(literal 7/360 binary64)
(+ 7/360 (* 31/15120 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(* 31/15120 (pow y 2))
(.f64 (.f64 y y) #s(literal 31/15120 binary64))
(sin y)
(sin.f64 y)
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* 31/15120 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 31/15120 binary64))
(* (pow y 6) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 31/15120 binary64)) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64)))
(* (pow y 6) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (+ (* 7/360 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 31/15120 binary64)) (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 7/360 binary64) #s(literal 1 binary64)))
(* 31/15120 (pow y 4))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 31/15120 binary64))
(* (pow y 4) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(.f64 (.f64 (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) y) y)
(* (pow y 4) (+ 31/15120 (+ (/ 1/6 (pow y 4)) (* 7/360 (/ 1 (pow y 2))))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64))
(* (pow y 2) (+ 31/15120 (* 7/360 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))

rewrite224.0ms (3.6%)

Memory

16.9MiB live, 268.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	278
0	61	278
1	215	278
2	1334	278
0	8181	264

Stop Event

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

Counts

20 → 293

Calls

Call 1

Inputs
(/.f64 x y)
(sin.f64 y)
(*.f64 (/.f64 x y) (sin.f64 y))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64)))
(.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))
(.f64 (.f64 y y) x)
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 y y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
(.f64 #s(literal 31/15120 binary64) (.f64 y y))

Outputs
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y x)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 #s(literal 1 binary64) (sin.f64 y))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(.f64 (.f64 (neg.f64 x) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)))))
(.f64 (neg.f64 (.f64 (sin.f64 y) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) x))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(pow.f64 (/.f64 (/.f64 y (sin.f64 y)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (sin.f64 y))) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) y)
(/.f64 (neg.f64 (*.f64 x (neg.f64 (sin.f64 y)))) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 y) x))) y)
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 y))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1/1296 binary64) (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 6 binary64)) #s(literal 1/46656 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 9 binary64)) #s(literal 1/10077696 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 6 binary64)) (-.f64 #s(literal 1/46656 binary64) (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64))) (.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64)) #s(literal 1/36 binary64))) (.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64)) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64))) (-.f64 #s(literal 1/6 binary64) (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) #s(literal -1/36 binary64)) (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y))))))
(/.f64 (fma.f64 (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (-.f64 #s(literal 1/36 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 (.f64 y y) #s(literal 1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y))) (-.f64 #s(literal 1/36 binary64) (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/36 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 2 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y))))) (fma.f64 (pow.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/216 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))))
(fma.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) y) y #s(literal 1/6 binary64))
(fma.f64 (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)))))
(fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1/6 binary64))
(fma.f64 (.f64 y y) #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) #s(literal 1/6 binary64))
(fma.f64 y (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) y) #s(literal 1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)))) (/.f64 (pow.f64 (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64)) (-.f64 #s(literal 1/6 binary64) (.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y)) #s(literal 2 binary64)) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal -1/6 binary64))) (neg.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y) #s(literal -1/6 binary64)))))
(+.f64 (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y)) #s(literal 1/6 binary64))
(+.f64 #s(literal 1/6 binary64) (.f64 #s(approx (+ ( 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (*.f64 y y)))
#s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))
(.f64 (.f64 #s(literal 31/15120 binary64) y) y)
(.f64 #s(literal 31/15120 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 31/15120 binary64))
(.f64 y (.f64 #s(literal 31/15120 binary64) y))

eval46.0ms (0.7%)

Memory: -18.0MiB live, 93.8MiB allocated
Compiler: Compiled 11 926 to 1 308 computations (89% saved)

prune25.0ms (0.4%)

Memory

1.7MiB live, 50.0MiB allocated

Pruning

26 alts after pruning (14 fresh and 12 done)

	Pruned	Kept	Total
New	360	7	367
Fresh	2	7	9
Picked	1	4	5
Done	0	8	8
Total	363	26	389

Accuracy

100.0%

Counts

389 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	90.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
	91.1%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	40.0%	(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	59.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	59.2%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	59.6%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
✓	59.6%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	59.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
✓	56.6%	(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
	72.7%	(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) y)) y)
	73.1%	(.f64 (/.f64 x (.f64 (/.f64 y (sin.f64 y)) y)) y)
✓	91.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	59.6%	(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
	50.2%	(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
✓	48.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	48.4%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
✓	49.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	48.4%	#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
	48.3%	#s(approx (/ x (/ y (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))))
	48.4%	#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))
✓	2.8%	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
	2.8%	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
	2.8%	#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))

Compiler

Compiled 1 017 to 453 computations (55.5% saved)

regimes42.0ms (0.7%)

Memory

-8.4MiB live, 68.9MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ x (/ y (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 x (.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (sin.f64 y) x) (*.f64 y y)) y)
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(.f64 (/.f64 x (.f64 (/.f64 y (sin.f64 y)) y)) y)
(.f64 (/.f64 (sin.f64 y) (.f64 (/.f64 y x) y)) y)
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (sin.f64 y) x)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 y) #s(literal 3 binary64))) x) (.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)) (neg.f64 y)))

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))

Calls

4 calls:

11.0ms	x
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
10.0ms	y
10.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes31.0ms (0.5%)

Memory

15.3MiB live, 54.2MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ x (/ y (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))

Calls

4 calls:

8.0ms	y
7.0ms	x
7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.8%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes29.0ms (0.5%)

Memory

9.9MiB live, 50.9MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ ( (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* (+ (* 31/15120 (* y y)) 7/360) (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
#s(approx (/ x (/ y (sin y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 y y) x) x))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(approx (+ (* 31/15120 (* y y)) 7/360) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Outputs
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))

Calls

4 calls:

8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	x
7.0ms	y
6.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
59.6%	1	`x`
59.6%	1	`y`
59.6%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
59.6%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes17.0ms (0.3%)

Memory

3.2MiB live, 42.0MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(.f64 #s(approx (/ ( (sin y) x) (* y y)) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 y x)) y)
#s(approx (/ x (/ y (sin y))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 (*.f64 y y) x)) x))

Outputs
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))

Calls

4 calls:

5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	x
4.0ms	y
4.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
58.8%	2	`(/.f64 (sin.f64 y) y)`
58.7%	2	`x`
58.7%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
58.8%	2	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes13.0ms (0.2%)

Memory

0.1MiB live, 39.2MiB allocated

Accuracy

Total -30.2b remaining (-93.7%)

Threshold costs -30.2b (-93.7%)

Counts

9 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 y y) (*.f64 #s(literal -1/6 binary64) x))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y x) y) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) #s(approx (+ (* (* (* y y) x) -1/6) x) (.f64 (.f64 (*.f64 y y) x) #s(literal -1/6 binary64))))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) y) y) x x))
#s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))

Outputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Calls

4 calls:

4.0ms	(/.f64 (sin.f64 y) y)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
49.6%	1	`y`
49.6%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07041495267507789	0.999998902134639

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify70.0ms (1.1%)

Memory

-8.1MiB live, 74.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	71
1	53	71
2	111	69
3	381	69
4	1232	69
5	2181	69
6	3892	69

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3602879701896397/36028797018963968 binary64)) (.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y) #s(approx (/ x (/ y (sin y))) (fma.f64 (.f64 y y) (.f64 #s(literal -1/6 binary64) x) x)))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

soundness1.2s (19.6%)

Memory

-4.4MiB live, 501.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1807	12
0	43	150
1	118	150
2	310	140
3	908	138
4	1439	138
5	2228	138
6	3353	138
7	3636	138
8	4364	138
9	6802	138
0	8471	120
0	32	175
0	54	174
1	188	165
2	1102	165
0	8428	165
0	102	445
1	301	442
2	859	420
3	2582	408
4	4589	408
5	7141	404
0	8088	361

Stop Event

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

Compiler

Compiled 152 to 91 computations (40.1% saved)

preprocess53.0ms (0.8%)

Memory

22.0MiB live, 98.2MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 202 to 118 computations (41.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	40	328
0	61	328
1	98	328
2	148	326
3	247	326
4	311	326
5	320	326
6	320	326
7	384	326
8	405	326
9	537	326
10	567	326
11	627	326
12	657	326
13	657	326
0	657	313

Iter	Nodes	Cost
0	40	328
0	61	328
1	98	328
2	148	326
3	247	326
4	311	326
5	320	326
6	320	326
7	384	326
8	405	326
9	537	326
10	567	326
11	627	326
12	657	326
13	657	326
0	657	313

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.2s (18.7%)

explain127.0ms (2%)

preprocess49.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize31.0ms (0.5%)

series6.0ms (0.1%)

simplify259.0ms (4.1%)

rewrite70.0ms (1.1%)

eval57.0ms (0.9%)

prune8.0ms (0.1%)

simplify210.0ms (3.3%)

localize141.0ms (2.2%)

series58.0ms (0.9%)

simplify396.0ms (6.3%)

rewrite481.0ms (7.7%)

eval121.0ms (1.9%)

prune184.0ms (2.9%)

simplify87.0ms (1.4%)

localize113.0ms (1.8%)

series19.0ms (0.3%)

simplify202.0ms (3.2%)

rewrite154.0ms (2.4%)

eval184.0ms (2.9%)

prune26.0ms (0.4%)

simplify26.0ms (0.4%)

localize107.0ms (1.7%)

series17.0ms (0.3%)

simplify176.0ms (2.8%)

rewrite224.0ms (3.6%)

eval46.0ms (0.7%)

prune25.0ms (0.4%)

regimes42.0ms (0.7%)

regimes31.0ms (0.5%)

regimes29.0ms (0.5%)

regimes17.0ms (0.3%)

regimes13.0ms (0.2%)

bsearch0.0ms (0%)

simplify70.0ms (1.1%)

soundness1.2s (19.6%)

preprocess53.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	40	328
0	61	328
1	98	328
2	148	326
3	247	326
4	311	326
5	320	326
6	320	326
7	384	326
8	405	326
9	537	326
10	567	326
11	627	326
12	657	326
13	657	326
0	657	313