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

-13.2MiB live, 24.4MiB 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)

sample1.1s (18%)

Memory

34.1MiB live, 1 256.9MiB allocated

Samples

829.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-sin: 243.0ms (50% of total)

ival-div: 152.0ms (31.3% of total)

ival-mult: 81.0ms (16.7% of total)

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

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

Bogosity

explain71.0ms (1.1%)

Memory

5.0MiB live, 79.4MiB 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

40.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 20.0ms (72.3% of total)

ival-div: 4.0ms (14.5% of total)

ival-mult: 3.0ms (10.8% of total)

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

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

preprocess162.0ms (2.6%)

Memory

-18.6MiB live, 68.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	129	32
3	362	32
4	1343	32
5	2680	32
6	4441	32
7	6488	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×	node limit

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: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB 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)

simplify8.0ms (0.1%)

Memory

-21.1MiB live, 14.4MiB 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

localize23.0ms (0.4%)

Memory

28.3MiB live, 66.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.12109375	(/.f64 (sin.f64 y) y)
accuracy	0.12109375	(*.f64 x (/.f64 (sin.f64 y) y))

Samples

17.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 7.0ms (67.2% of total)

ival-div: 2.0ms (19.2% of total)

ival-mult: 2.0ms (19.2% of total)

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

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

series8.0ms (0.1%)

Memory

-17.8MiB live, 19.9MiB 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
2.0ms	y	@	0	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
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	x	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify237.0ms (3.8%)

Memory

-6.4MiB live, 238.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	145	150
2	515	140
3	2442	138
4	5842	138
0	8189	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 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 (.f64 y y) 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)) 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)

rewrite289.0ms (4.6%)

Memory

-12.2MiB live, 199.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	81	12
3	425	12
4	3410	12
0	8220	12

Stop Event

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

Counts

3 → 350

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

eval46.0ms (0.7%)

Memory: -4.7MiB live, 75.2MiB allocated
Compiler: Compiled 5 431 to 889 computations (83.6% saved)

prune12.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	353	10	363
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	353	11	364

Accuracy

100.0%

Counts

364 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.3%	(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
	89.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	89.3%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
▶	89.5%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	50.3%	(.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))))
	50.5%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	51.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.5%	#s(approx (* x (/ (sin y) y)) (fma.f64 (.f64 (.f64 y y) 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)) x))

Compiler

Compiled 216 to 161 computations (25.5% saved)

simplify116.0ms (1.9%)

Memory

0.4MiB live, 76.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	(sin.f64 y)
cost-diff	384	(/.f64 (sin.f64 y) (/.f64 y x))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(*.f64 (/.f64 x y) (sin.f64 y))
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	384	(/.f64 x (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	115
0	35	115
1	56	115
2	124	115
3	439	115
4	1715	115
5	2867	115
6	3694	115
7	5319	115
8	6575	115
0	8080	115

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

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

localize110.0ms (1.8%)

Memory

-26.1MiB live, 92.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y x)
accuracy	0.00390625	(sin.f64 y)
accuracy	6.865082884683135	(/.f64 (sin.f64 y) (/.f64 y x))
accuracy	0	(/.f64 x y)
accuracy	0.00390625	(sin.f64 y)
accuracy	6.714451736466201	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.04296875	(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	0.0703125	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.12109375	(.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	31.858827964166412	#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	0.12109375	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	31.66555159474595	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.08984375	(/.f64 y (sin.f64 y))
accuracy	0.12890625	(/.f64 x (/.f64 y (sin.f64 y)))

Samples

78.0ms

256×

valid

Compiler

Compiled 207 to 42 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sin: 22.0ms (41.3% of total)

ival-div: 15.0ms (28.2% of total)

ival-mult: 7.0ms (13.1% of total)

const: 6.0ms (11.3% of total)

ival-add: 2.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

13 → 28

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

Outputs
(/ (* x (sin y)) y)
(/ x y)
(/ y x)
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)
(/ 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
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) (* (/ x y) (sin y)) (/ x y) (/ (sin y) (/ y x)) (/ y x))
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) (* (/ x y) (sin y)) (/ x y) (/ (sin y) (/ y x)) (/ y x))
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) (* (/ x y) (sin y)) (/ x y) (/ (sin y) (/ y x)) (/ y x))
1.0ms	x	@	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) (* (/ x y) (sin y)) (/ x y) (/ (sin y) (/ y x)) (/ y x))
1.0ms	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) (* (/ x y) (sin y)) (/ x y) (/ (sin y) (/ y x)) (/ y x))

simplify191.0ms (3%)

Memory

5.7MiB live, 161.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	252
1	231	252
2	799	242
3	3698	236
0	8200	209

Stop Event

1×	iter limit
1×	node limit

Counts

28 → 26

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ x y)
(/ y x)
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)
(/ 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 y)
(/.f64 x y)
(/ y x)
(/.f64 y x)
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 #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 (*.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))
-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))
(/ 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 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (.f64 y y))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #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))

rewrite307.0ms (4.9%)

Memory

12.3MiB live, 250.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	95
0	35	95
1	112	95
2	645	95
3	6397	95
0	8143	95

Stop Event

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

Counts

13 → 694

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

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

eval85.0ms (1.4%)

Memory: 0.6MiB live, 241.9MiB allocated
Compiler: Compiled 15 601 to 2 049 computations (86.9% saved)

prune50.0ms (0.8%)

Memory

-5.5MiB live, 71.1MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	628	5	633
Fresh	2	3	5
Picked	0	5	5
Done	0	1	1
Total	630	14	644

Accuracy

100.0%

Counts

644 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	89.3%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	99.6%	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
▶	64.4%	(/.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))))
▶	64.3%	(/.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))))
	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
✓	89.5%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	50.3%	(.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))))
▶	50.5%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	51.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.5%	#s(approx (/ x (/ y (sin 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))

Compiler

Compiled 280 to 199 computations (28.9% saved)

simplify139.0ms (2.2%)

Memory

-21.5MiB live, 135.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	0	(/.f64 (/.f64 y (sin.f64 y)) x)
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
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	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #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 #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 #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 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	(sin.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (sin.f64 y))
cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	232
0	58	236
1	102	232
2	291	224
3	1306	224
4	4118	224
5	6592	224
0	8104	224

Stop Event

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

Calls

Call 1

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

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

localize152.0ms (2.4%)

Memory

3.1MiB live, 168.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(sin.f64 y)
accuracy	0.08984375	(/.f64 y (sin.f64 y))
accuracy	0.109375	(/.f64 (/.f64 y (sin.f64 y)) x)
accuracy	0.4146795869618858	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
accuracy	0.06640625	(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	0.125	(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
accuracy	0.12890625	(/.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	31.46851487343985	#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	0.033535009768442016	(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.09765625	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.12890625	(/.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))))
accuracy	31.489042691372013	#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)))
accuracy	0	(*.f64 y y)
accuracy	0.08203125	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.12109375	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	31.750287300587964	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.109375	(/.f64 #s(literal -1 binary64) (sin.f64 y))
accuracy	0.12890625	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
accuracy	0.22265625	(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))

Samples

127.0ms

256×

valid

Compiler

Compiled 404 to 66 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 37.0ms (45.7% of total)

const: 17.0ms (21% of total)

ival-div: 11.0ms (13.6% of total)

ival-add: 7.0ms (8.6% of total)

ival-sin: 7.0ms (8.6% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

20 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 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) (/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (+ (* 31/15120 (* y y)) 7/360))
3.0ms	y	@	-inf	((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 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) (/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (+ (* 31/15120 (* y y)) 7/360))
2.0ms	y	@	0	((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 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) (/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (+ (* 31/15120 (* y y)) 7/360))
1.0ms	x	@	-inf	((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 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) (/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (+ (* 31/15120 (* y y)) 7/360))
1.0ms	x	@	0	((* (/ -1 (sin y)) (neg y)) (/ x (* (/ -1 (sin y)) (neg y))) (/ -1 (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 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) (/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (+ (* 31/15120 (* y y)) 7/360))

simplify215.0ms (3.4%)

Memory

-1.6MiB live, 205.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	501
1	411	495
2	1401	473
3	6487	465
0	8122	420

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 49

Calls

Call 1

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

rewrite273.0ms (4.4%)

Memory

-14.7MiB live, 179.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	201
0	58	205
1	221	193
2	1524	193
0	8313	193

Stop Event

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

Counts

20 → 919

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64)) y)
(*.f64 (/.f64 y #s(literal 1 binary64)) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y))) y)
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(*.f64 y (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 #s(literal 0 binary64) (sin.f64 y)) (fma.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 y))) (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y))) (sin.f64 y))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64))) (sin.f64 y))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (*.f64 (sin.f64 y) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(/.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sin.f64 y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) y) (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) y) (sin.f64 y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (neg.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (sin.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 y y))) (*.f64 (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y)))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (neg.f64 (sin.f64 y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) y) (.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (.f64 y y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 0 binary64) y) (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (.f64 #s(literal 0 binary64) y))) (.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (neg.f64 (sin.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (.f64 (sin.f64 y) #s(literal -1 binary64))) (.f64 (neg.f64 (sin.f64 y)) y)) (.f64 (neg.f64 (sin.f64 y)) (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (sin.f64 y) y))) (.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (sin.f64 y)) (.f64 (neg.f64 (sin.f64 y)) (neg.f64 y))) (*.f64 (neg.f64 (sin.f64 y)) (sin.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (.f64 (neg.f64 (sin.f64 y)) y)) (*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (sin.f64 y))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (sin.f64 y) y)) (.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 (sin.f64 y) y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 y)) (.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (sin.f64 y)))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (sin.f64 y)))
(/.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 y) (*.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 y (*.f64 (sin.f64 y) #s(literal 1 binary64)))
(/.f64 y (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(/.f64 y (neg.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(/.f64 y (sin.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(neg.f64 (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 (neg.f64 y) (sin.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 y (sin.f64 y)))
(+.f64 (/.f64 #s(literal 0 binary64) (sin.f64 y)) (/.f64 y (sin.f64 y)))
(.f64 (/.f64 x (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal -1 binary64))) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))) (/.f64 x y))
(.f64 (/.f64 (/.f64 x #s(literal -1 binary64)) y) (.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) y) (/.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))) (pow.f64 y #s(literal -1 binary64)))
(.f64 (neg.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))))
(.f64 (fabs.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (sin.f64 y) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 x y) (/.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (/.f64 (sin.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1/2 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (*.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 y) #s(literal 1 binary64)) (/.f64 x y))
(.f64 (.f64 x (*.f64 (sin.f64 y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.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)) (/.f64 x (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)))))
(*.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 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (sin.f64 y) y) x))
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (sin.f64 y) (.f64 (pow.f64 y #s(literal -1 binary64)) x))
(.f64 #s(literal -1 binary64) (/.f64 x (.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) (neg.f64 y))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x (sin.f64 y)) (neg.f64 y)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (/.f64 y (sin.f64 y)) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 y (sin.f64 y)) x) (/.f64 (/.f64 y (sin.f64 y)) x)) #s(literal -1/2 binary64))
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(/.f64 (fma.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 343/46656000 binary64)) (fma.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 49/129600 binary64) (.f64 (.f64 y y) #s(literal 31/777600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 7/360 binary64) (.f64 #s(literal 31/15120 binary64) (.f64 y y))) (-.f64 #s(literal 49/129600 binary64) (*.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 49/129600 binary64) (-.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 31/777600 binary64)))) (fma.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 343/46656000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 31/15120 binary64) (neg.f64 y))) y #s(literal 7/360 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 31/15120 binary64) y)) y #s(literal 7/360 binary64))
(fma.f64 (*.f64 #s(literal 31/15120 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 7/360 binary64))
(fma.f64 (*.f64 #s(literal 31/15120 binary64) y) y #s(literal 7/360 binary64))
(fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal 7/360 binary64))
(fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 31/15120 binary64)) #s(literal 7/360 binary64))
(fma.f64 y (fabs.f64 (*.f64 (neg.f64 y) #s(literal 31/15120 binary64))) #s(literal 7/360 binary64))
(fma.f64 y (fabs.f64 (*.f64 #s(literal 31/15120 binary64) y)) #s(literal 7/360 binary64))
(fma.f64 y (*.f64 #s(literal 31/15120 binary64) y) #s(literal 7/360 binary64))
(-.f64 (/.f64 #s(literal 49/129600 binary64) (-.f64 #s(literal 7/360 binary64) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))) (/.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 7/360 binary64) (.f64 #s(literal 31/15120 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal -7/360 binary64))) (/.f64 #s(literal 49/129600 binary64) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal -7/360 binary64))))
(-.f64 #s(literal 7/360 binary64) (.f64 (neg.f64 (.f64 #s(literal 31/15120 binary64) y)) y))
(-.f64 #s(literal 7/360 binary64) (.f64 #s(literal -31/15120 binary64) (.f64 y y)))
(-.f64 #s(literal 7/360 binary64) (.f64 (neg.f64 (.f64 y y)) #s(literal 31/15120 binary64)))
(+.f64 (/.f64 #s(literal 343/46656000 binary64) (+.f64 #s(literal 49/129600 binary64) (-.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 31/777600 binary64))))) (/.f64 (.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 49/129600 binary64) (-.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 31/777600 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 49/129600 binary64) (-.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (.f64 y y) #s(literal 31/777600 binary64))))) (/.f64 #s(literal 343/46656000 binary64) (+.f64 #s(literal 49/129600 binary64) (-.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (*.f64 y y) #s(literal 31/777600 binary64))))))
(+.f64 (/.f64 #s(literal 343/46656000 binary64) (fma.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 49/129600 binary64) (.f64 (.f64 y y) #s(literal 31/777600 binary64))))) (/.f64 (.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 49/129600 binary64) (.f64 (*.f64 y y) #s(literal 31/777600 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 29791/3456649728000 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 49/129600 binary64) (.f64 (.f64 y y) #s(literal 31/777600 binary64))))) (/.f64 #s(literal 343/46656000 binary64) (fma.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 49/129600 binary64) (.f64 (*.f64 y y) #s(literal 31/777600 binary64))))))
(+.f64 (/.f64 (.f64 #s(literal 961/228614400 binary64) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal -7/360 binary64))) (/.f64 #s(literal -49/129600 binary64) (fma.f64 #s(literal 31/15120 binary64) (*.f64 y y) #s(literal -7/360 binary64))))
(+.f64 (.f64 #s(literal 31/15120 binary64) (.f64 y y)) #s(literal 7/360 binary64))
(+.f64 #s(literal 7/360 binary64) (.f64 #s(literal 31/15120 binary64) (.f64 y y)))

eval229.0ms (3.7%)

Memory: 12.0MiB live, 171.2MiB allocated
Compiler: Compiled 24 412 to 3 630 computations (85.1% saved)

prune95.0ms (1.5%)

Memory

-9.4MiB live, 64.5MiB allocated

Pruning

17 alts after pruning (11 fresh and 6 done)

	Pruned	Kept	Total
New	927	10	937
Fresh	2	1	3
Picked	4	1	5
Done	1	5	6
Total	934	17	951

Accuracy

100.0%

Counts

951 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	89.3%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	99.6%	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
▶	64.2%	(/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
	64.2%	(/.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))))
▶	63.8%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
▶	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
	64.2%	(/.f64 #s(literal 1 binary64) #s(approx (/ (/ y (sin y)) x) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x)))
✓	89.5%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.4%	(.f64 x #s(approx (/ (sin y) y) (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))))
	50.5%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
▶	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	51.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.3%	#s(approx (/ x (* (/ -1 (sin y)) (neg y))) (fma.f64 (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x))

Compiler

Compiled 445 to 321 computations (27.9% saved)

simplify141.0ms (2.2%)

Memory

-10.6MiB live, 76.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	293
0	60	293
1	96	293
2	216	293
3	681	293
4	1796	293
5	2442	293
6	3240	293
7	4942	293
8	6365	293
0	8019	282

Stop Event

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

Calls

Call 1

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

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

localize100.0ms (1.6%)

Memory

6.2MiB live, 81.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 x (*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y)))
accuracy	0.19140625	(fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))
accuracy	0.22265625	(*.f64 #s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y))) (neg.f64 y))
accuracy	31.60259643418252	#s(approx (/ -1 (sin y)) (fma.f64 #s(literal -1/6 binary64) y (/.f64 #s(literal -1 binary64) y)))
accuracy	0.12890625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.1484375	(.f64 #s(literal 7/360 binary64) (.f64 y y))
accuracy	30.534894384039625	#s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y)))
accuracy	31.489042691372013	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.033535009768442016	(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.12890625	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	31.43034628000939	#s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64))
accuracy	31.489042691372013	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.12109375	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
accuracy	0.203125	(.f64 #s(literal -1/6 binary64) (.f64 y y))
accuracy	31.047249781291804	#s(approx (+ (* (* y y) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))
accuracy	31.750287300587964	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y))))
accuracy	0.00390625	(sin.f64 y)
accuracy	0.11328125	(*.f64 (sin.f64 y) x)
accuracy	6.65563416388875	(/.f64 (*.f64 (sin.f64 y) x) y)

Samples

69.0ms

256×

valid

Compiler

Compiled 452 to 75 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 14.0ms (30% of total)

ival-div: 11.0ms (23.6% of total)

const: 9.0ms (19.3% of total)

ival-sin: 6.0ms (12.9% of total)

ival-add: 4.0ms (8.6% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

14.3MiB live, 14.3MiB allocated

Counts

21 → 40

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* -1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (/ -1 (sin y)) (neg y)) (/ -1 (sin y)) (+ (* -1/6 y) (/ -1 y)) (/ -1 y) (* 7/360 (* y y)) (/ x (* (/ -1 (sin y)) (neg y))))
2.0ms	y	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* -1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (/ -1 (sin y)) (neg y)) (/ -1 (sin y)) (+ (* -1/6 y) (/ -1 y)) (/ -1 y) (* 7/360 (* y y)) (/ x (* (/ -1 (sin y)) (neg y))))
2.0ms	y	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* -1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (/ -1 (sin y)) (neg y)) (/ -1 (sin y)) (+ (* -1/6 y) (/ -1 y)) (/ -1 y) (* 7/360 (* y y)) (/ x (* (/ -1 (sin y)) (neg y))))
1.0ms	x	@	-inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* -1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (/ -1 (sin y)) (neg y)) (/ -1 (sin y)) (+ (* -1/6 y) (/ -1 y)) (/ -1 y) (* 7/360 (* y y)) (/ x (* (/ -1 (sin y)) (neg y))))
1.0ms	x	@	inf	((/ (* (sin y) x) y) (* (sin y) x) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* -1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* (/ -1 (sin y)) (neg y)) (/ -1 (sin y)) (+ (* -1/6 y) (/ -1 y)) (/ -1 y) (* 7/360 (* y y)) (/ x (* (/ -1 (sin y)) (neg y))))

simplify180.0ms (2.9%)

Memory

-22.0MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	386
1	320	386
2	1085	368
3	4945	354
0	8306	313

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 38

Calls

Call 1

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

rewrite185.0ms (3%)

Memory

32.3MiB live, 147.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	265
0	60	265
1	200	265
2	1263	263
0	8893	252

Stop Event

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

Counts

21 → 415

Calls

Call 1

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

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

eval105.0ms (1.7%)

Memory: 6.3MiB live, 80.4MiB allocated
Compiler: Compiled 15 208 to 1 634 computations (89.3% saved)

prune109.0ms (1.7%)

Memory

-49.6MiB live, 56.0MiB allocated

Pruning

21 alts after pruning (12 fresh and 9 done)

	Pruned	Kept	Total
New	443	8	451
Fresh	2	4	6
Picked	2	3	5
Done	0	6	6
Total	447	21	468

Accuracy

100.0%

Counts

468 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	89.3%	(/.f64 (sin.f64 y) (/.f64 y x))
	40.7%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	99.6%	(/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y)))
	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
	64.1%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (neg.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64))) (*.f64 y y) #s(literal 1 binary64))))
✓	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	64.3%	(/.f64 x #s(approx (/ y (sin y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))))
	64.1%	(/.f64 x #s(approx (/ y (sin y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y))))
	64.2%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))) x))
	89.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
✓	89.5%	(*.f64 (/.f64 x y) (sin.f64 y))
	64.3%	(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.4%	(.f64 x #s(approx (/ (sin y) y) (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))))
	50.5%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
✓	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 #s(literal -1/6 binary64) (.f64 y y)))))
✓	51.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.5%	#s(approx (/ (* (sin y) x) y) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
	50.3%	#s(approx (/ x (* (/ -1 (sin y)) (neg y))) (fma.f64 (.f64 x (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64))) (*.f64 y y) x))

Compiler

Compiled 874 to 389 computations (55.5% saved)

regimes46.0ms (0.7%)

Memory

16.1MiB live, 53.6MiB allocated

Counts

34 → 1

Calls

Call 1

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

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

Calls

4 calls:

17.0ms	x
9.0ms	y
9.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms	(/.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)

regimes38.0ms (0.6%)

Memory

-6.3MiB live, 73.2MiB allocated

Counts

25 → 1

Calls

Call 1

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

Calls

4 calls:

12.0ms	x
10.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	y
7.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.4%	1	`x`
64.4%	1	`y`
64.4%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.4%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes45.0ms (0.7%)

Memory

-1.8MiB live, 74.2MiB allocated

Counts

24 → 1

Calls

Call 1

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

Outputs
(/.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))))

Calls

4 calls:

22.0ms	y
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms	x
7.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.3%	1	`y`
64.3%	1	`(/.f64 (sin.f64 y) y)`
64.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.3%	1	`x`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes39.0ms (0.6%)

Memory

21.9MiB live, 57.1MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

4 calls:

23.0ms	x
5.0ms	y
5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.3%	1	`(/.f64 (sin.f64 y) y)`
64.3%	1	`x`
64.3%	1	`y`
64.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes22.0ms (0.4%)

Memory

-13.8MiB live, 69.3MiB allocated

Counts

13 → 1

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
64.3%	1	`y`
64.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.3%	1	`(/.f64 (sin.f64 y) y)`
64.3%	1	`x`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes12.0ms (0.2%)

Memory

-7.1MiB live, 30.6MiB allocated

Accuracy

Total -31.0b remaining (-98.9%)

Threshold costs -31b (-98.9%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
3.0ms	y
2.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
51.0%	1	`y`
51.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
51.0%	1	`(/.f64 (sin.f64 y) y)`
51.0%	1	`x`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify79.0ms (1.3%)

Memory

-0.6MiB live, 82.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	92
1	47	92
2	55	92
3	70	92
4	104	92
5	152	92
6	201	92
7	264	92
8	335	92
9	414	92
10	489	92
11	539	92
12	560	92
13	567	92
14	575	92
15	580	92
16	581	92

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness983.0ms (15.7%)

Memory

31.3MiB live, 744.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	127	501
1	411	495
2	1401	473
3	6487	465
0	8122	420
0	43	150
1	145	150
2	515	140
3	2442	138
4	5842	138
0	8189	120
0	39	265
0	60	265
1	200	265
2	1263	263
0	8893	252
0	5	12
0	8	12
1	19	12
2	81	12
3	425	12
4	3410	12
0	8220	12
0	72	252
1	231	252
2	799	242
3	3698	236
0	8200	209

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
1×	node limit

Compiler

Compiled 253 to 137 computations (45.8% saved)

preprocess182.0ms (2.9%)

Memory

4.6MiB live, 206.6MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 292 to 168 computations (42.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	37	92
1	47	92
2	55	92
3	70	92
4	104	92
5	152	92
6	201	92
7	264	92
8	335	92
9	414	92
10	489	92
11	539	92
12	560	92
13	567	92
14	575	92
15	580	92
16	581	92

Iter	Nodes	Cost
0	37	92
1	47	92
2	55	92
3	70	92
4	104	92
5	152	92
6	201	92
7	264	92
8	335	92
9	414	92
10	489	92
11	539	92
12	560	92
13	567	92
14	575	92
15	580	92
16	581	92

start0.0ms (0%)

analyze15.0ms (0.2%)

sample1.1s (18%)

explain71.0ms (1.1%)

preprocess162.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize23.0ms (0.4%)

series8.0ms (0.1%)

simplify237.0ms (3.8%)

rewrite289.0ms (4.6%)

eval46.0ms (0.7%)

prune12.0ms (0.2%)

simplify116.0ms (1.9%)

localize110.0ms (1.8%)

series11.0ms (0.2%)

simplify191.0ms (3%)

rewrite307.0ms (4.9%)

eval85.0ms (1.4%)

prune50.0ms (0.8%)

simplify139.0ms (2.2%)

localize152.0ms (2.4%)

series12.0ms (0.2%)

simplify215.0ms (3.4%)

rewrite273.0ms (4.4%)

eval229.0ms (3.7%)

prune95.0ms (1.5%)

simplify141.0ms (2.2%)

localize100.0ms (1.6%)

series13.0ms (0.2%)

simplify180.0ms (2.9%)

rewrite185.0ms (3%)

eval105.0ms (1.7%)

prune109.0ms (1.7%)

regimes46.0ms (0.7%)

regimes38.0ms (0.6%)

regimes45.0ms (0.7%)

regimes39.0ms (0.6%)

regimes22.0ms (0.4%)

regimes12.0ms (0.2%)

simplify79.0ms (1.3%)

soundness983.0ms (15.7%)

preprocess182.0ms (2.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	37	92
1	47	92
2	55	92
3	70	92
4	104	92
5	152	92
6	201	92
7	264	92
8	335	92
9	414	92
10	489	92
11	539	92
12	560	92
13	567	92
14	575	92
15	580	92
16	581	92