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

analyze13.0ms (0.1%)

Memory

-10.3MiB live, 30.2MiB 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 (11.8%)

Memory

8.7MiB live, 1 647.4MiB allocated

Samples

823.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 482.0ms

ival-sin: 257.0ms (53.4% of total)

ival-mult: 129.0ms (26.8% of total)

ival-div: 87.0ms (18.1% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess49.0ms (0.5%)

Memory

22.6MiB live, 60.2MiB allocated

Algorithm

1×	egg-herbie

Rules

600×	`times-frac`
296×	`associate-r`
278×	`associate-l`
182×	`unsub-neg`
180×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	36
1	46	32
2	122	32
3	323	32
4	1107	32
5	1811	32
6	1904	32
7	1938	32
8	1966	32
9	1978	32
10	1978	32
0	5	6
0	8	6
1	11	6
2	13	6
3	15	6
4	16	6
0	16	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain71.0ms (0.7%)

Memory

10.4MiB live, 129.6MiB 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

39.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 14.0ms (52.8% of total)

ival-div: 9.0ms (33.9% of total)

ival-mult: 3.0ms (11.3% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify8.0ms (0.1%)

Memory

-25.8MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

12×	`lower-*.f32`
10×	`lower-*.f64`
6×	`*-commutative`
6×	`lower-/.f32`
4×	`lower-/.f64`

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

localize24.0ms (0.2%)

Memory

10.7MiB live, 49.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	accuracy	99.8%	(/.f64 (sin.f64 y) y)

Samples

18.0ms

256×

valid

Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions

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

ival-sin: 6.0ms (60.8% of total)

ival-div: 2.0ms (20.3% of total)

ival-mult: 2.0ms (20.3% of total)

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

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

series6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (*.f64 x (/.f64 (sin.f64 y) y))>
#<alt (/.f64 (sin.f64 y) y)>
#<alt (sin.f64 y)>

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(* x (/ (sin y) y))
1.0ms	x	@	0	(* x (/ (sin y) y))
1.0ms	y	@	inf	(* x (/ (sin y) y))
1.0ms	x	@	-inf	(* x (/ (sin y) y))
0.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite85.0ms (0.9%)

Memory

-7.0MiB live, 155.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

836×	`lower-*.f32`
834×	`lower-*.f64`
718×	`lower-/.f32`
716×	`lower-/.f64`
220×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

simplify427.0ms (4.4%)

Memory

-7.8MiB live, 506.8MiB allocated

Algorithm

1×	egg-herbie

Rules

16 120×	`lower-fma.f64`
16 120×	`lower-fma.f32`
4 374×	`lower-*.f64`
4 374×	`lower-*.f32`
2 386×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: 8.8MiB live, 47.5MiB allocated
Compiler: Compiled 2 202 to 440 computations (80% saved)

prune29.0ms (0.3%)

Memory

0.2MiB live, 77.9MiB allocated

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	187	12	199
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	187	13	200

Accuracy

100.0%

Counts

200 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.7%	(fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
	89.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	49.5%	(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) x) (.f64 (sin.f64 y) (neg.f64 y)))
	90.6%	(/.f64 (*.f64 x (sin.f64 y)) y)
▶	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	52.1%	(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
▶	88.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	90.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
▶	52.4%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	52.5%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	53.2%	(*.f64 x #s(literal 1 binary64))

Compiler

Compiled 286 to 191 computations (33.2% saved)

simplify40.0ms (0.4%)

Memory

-20.3MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
✓	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 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	cost-diff	320	(*.f64 x #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)))

Rules

500×	`lower-*.f32`
486×	`lower-*.f64`
476×	`lower-fma.f32`
472×	`lower-fma.f64`
304×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	95
0	35	91
1	67	89
2	176	89
3	417	89
4	669	89
5	726	89
6	761	89
7	786	89
8	792	89
9	792	89
0	792	89

Stop Event

1×	iter limit
1×	saturated
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(literal 1 binary64))
x
#s(literal 1 binary64)
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y y)
y
(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y #s(literal 1/120 binary64))
#s(literal 1/120 binary64)
#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 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
x
(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sin.f64 y)

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

localize77.0ms (0.8%)

Memory

19.7MiB live, 133.4MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	88.3%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.9%	(*.f64 y #s(literal 1/120 binary64))
✓	accuracy	96.3%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(*.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	accuracy	99.8%	(/.f64 y (sin.f64 y))

Samples

50.0ms

256×

valid

Compiler

Compiled 102 to 23 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 12.0ms (34.7% of total)

ival-div: 7.0ms (20.3% of total)

const: 6.0ms (17.4% of total)

ival-sin: 6.0ms (17.4% of total)

ival-add: 2.0ms (5.8% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-20.8MiB live, 21.3MiB allocated

Counts

14 → 228

Calls

Call 1

Inputs
#<alt (/.f64 x (/.f64 y (sin.f64 y)))>
#<alt (/.f64 y (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (*.f64 x #s(literal 1 binary64))>
#<alt (.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (*.f64 (/.f64 x y) (sin.f64 y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y))>
#<alt (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 y #s(literal 1/120 binary64))>

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

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(/ y (sin y))
2.0ms	x	@	0	(* x (+ (* (* y y) (+ (* y (* y 1/120)) -1/6)) 1))
1.0ms	y	@	inf	(* x (+ (* (* y y) (+ (* y (* y 1/120)) -1/6)) 1))
0.0ms	y	@	inf	(/ y (sin y))
0.0ms	x	@	inf	(* x (+ (* (* y y) (+ (* y (* y 1/120)) -1/6)) 1))

rewrite340.0ms (3.5%)

Memory

18.8MiB live, 437.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 144×	`lower-fma.f32`
7 140×	`lower-fma.f64`
4 918×	`lower-*.f32`
4 904×	`lower-*.f64`
2 594×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	77
0	35	73
1	119	71
2	709	71
3	6500	71
0	8306	71

Stop Event

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

Counts

14 → 677

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(neg.f64 (.f64 (neg.f64 (.f64 (sin.f64 y) (/.f64 x y))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 y (neg.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) (neg.f64 x))) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) #s(literal -1 binary64)) y)
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) (/.f64 x y)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(*.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 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 (neg.f64 x) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (neg.f64 x) (.f64 (/.f64 (sin.f64 y) (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(.f64 (pow.f64 y #s(literal -1/2 binary64)) (.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 x (sin.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) (neg.f64 y)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(.f64 (pow.f64 (/.f64 y (.f64 x (sin.f64 y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) (neg.f64 y)) #s(literal -1 binary64))
(.f64 (.f64 (*.f64 x (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sin.f64 y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y))))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 y (sin.f64 y))
(/.f64 y (*.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64)))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 y) (neg.f64 y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (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))
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(.f64 (.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/120 binary64) (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1/120 binary64)) #s(literal -1 binary64))
(*.f64 y #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) y)
(.f64 (.f64 y #s(literal 1/120 binary64)) #s(literal 1 binary64))

simplify749.0ms (7.8%)

Memory

-22.3MiB live, 666.4MiB allocated

Algorithm

1×	egg-herbie

Rules

17 144×	`lower-fma.f64`
17 144×	`lower-fma.f32`
5 310×	`lower-*.f64`
5 310×	`lower-*.f32`
2 078×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	1466
1	230	1466
2	593	1408
3	1718	1402
4	3259	1402
5	5736	1402
0	8206	1303

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 211

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) 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)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
x
x
x
x
x
x
x
x
x
x
x
x
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* 1/120 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (* 1/120 x)))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 2))) (+ (* 1/120 x) (/ x (pow y 4)))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(* 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)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(* 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)))))
(* (pow y 4) (- (+ 1/120 (/ 1 (pow y 4))) (* 1/6 (/ 1 (pow y 2)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(- (* 1/120 (pow y 2)) 1/6)
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* 1/120 (pow y 2))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 2) (- 1/120 (* 1/6 (/ 1 (pow y 2)))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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)))
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (sin y) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)
(* 1/120 y)

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

eval413.0ms (4.3%)

Memory: 37.3MiB live, 228.3MiB allocated
Compiler: Compiled 19 033 to 1 648 computations (91.3% saved)

prune193.0ms (2%)

Memory

8.3MiB live, 245.4MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	932	10	942
Fresh	3	4	7
Picked	1	4	5
Done	0	1	1
Total	936	19	955

Accuracy

100.0%

Counts

955 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	99.5%	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
	89.6%	(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
	90.6%	(/.f64 (*.f64 x (sin.f64 y)) y)
	60.1%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
▶	60.1%	(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
▶	99.7%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	40.9%	(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
✓	88.3%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	90.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	52.4%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
	52.5%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	52.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	53.2%	x

Compiler

Compiled 383 to 242 computations (36.8% saved)

simplify365.0ms (3.8%)

Memory

-5.7MiB live, 148.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 x (sin.f64 y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	cost-diff	0	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
✓	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	(/.f64 x (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)) (/.f64 #s(literal 1 binary64) y)))
✓	cost-diff	1408	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))

Rules

2 892×	`lower-fma.f32`
2 884×	`lower-fma.f64`
1 368×	`lower-*.f32`
1 360×	`lower-*.f64`
724×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	128
0	39	130
1	84	124
2	240	118
3	663	118
4	1779	118
5	2329	118
6	2581	118
7	2664	118
8	2790	118
9	2840	118
10	2857	118
11	2877	118
12	2885	118
13	2885	118
14	2885	118
15	2891	118
16	2891	118
0	2891	118

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
x
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
y
(/.f64 #s(literal 1 binary64) y)
x
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
x
(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)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(*.f64 y y)
y
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
x
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 x (sin.f64 y))
x
(sin.f64 y)

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

localize121.0ms (1.2%)

Memory

-30.9MiB live, 182.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(*.f64 x (sin.f64 y))
✓	accuracy	90.4%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
✓	accuracy	99.9%	(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	accuracy	99.3%	(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	96.0%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.5%	(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
✓	accuracy	95.1%	(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))

Samples

67.0ms

256×

valid

Compiler

Compiled 140 to 27 computations (80.7% saved)

Precisions

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

const: 15.0ms (32.1% of total)

ival-mult: 12.0ms (25.7% of total)

ival-div: 8.0ms (17.1% of total)

ival-sin: 7.0ms (15% of total)

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

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

25.9MiB live, 25.9MiB allocated

Counts

14 → 240

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))>
#<alt (*.f64 y y)>
#<alt (fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)>
#<alt (.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))>
#<alt (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 x (sin.f64 y))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>

Outputs
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt (/ x (+ 1 (* 1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (* 6 (/ x (pow y 2)))>
#<alt (/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))>
#<alt (/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* 1/6 (pow y 2))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))>
#<alt (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))>
#<alt (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))>
#<alt (* -1/5040 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* -1/5040 (* x (pow y 4)))>
#<alt (* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt -1/6>
#<alt (- (* 1/120 (pow y 2)) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 4))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))>
#<alt (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt (* x (sin y))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(+ (* (* y y) (* x (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) x)
1.0ms	x	@	0	(+ (* (* y y) (* x (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6))) x)
1.0ms	x	@	0	(/ x (+ (* (* y y) 1/6) 1))
1.0ms	x	@	inf	(/ x (+ (* (* y y) 1/6) 1))
1.0ms	x	@	-inf	(/ x (+ (* (* y y) 1/6) 1))

rewrite402.0ms (4.2%)

Memory

-0.4MiB live, 559.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 360×	`lower-fma.f32`
5 352×	`lower-fma.f64`
5 248×	`lower-*.f32`
5 240×	`lower-*.f64`
3 826×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	39	106
1	173	94
2	1195	94
0	8337	94

Stop Event

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

Counts

14 → 528

Calls

Call 1

Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(/.f64 x (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)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(.f64 x (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 #s(literal 1 binary64) y)
(*.f64 x (sin.f64 y))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) y)) #s(literal -1 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 y)) #s(literal -1 binary64)) (.f64 (log.f64 y) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 y (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y))) (neg.f64 (/.f64 y (sin.f64 y))))
(neg.f64 (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 y) y))
(/.f64 y (sin.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(/.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (/.f64 y (sin.f64 y))) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 (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 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (pow.f64 (sin.f64 y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))))
(*.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)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sin.f64 y) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
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(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (neg.f64 (*.f64 (sin.f64 y) x)))
(neg.f64 (neg.f64 (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 y) x)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(*.f64 x (sin.f64 y))
(.f64 (.f64 (sin.f64 y) x) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sin.f64 y) x)))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(.f64 (.f64 x #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(+.f64 #s(literal 1/120 binary64) (.f64 y (.f64 y #s(literal -1/5040 binary64))))
(+.f64 (.f64 y (.f64 y #s(literal -1/5040 binary64))) #s(literal 1/120 binary64))
(+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64)))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64)))))
(fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(fma.f64 (*.f64 y #s(literal -1/5040 binary64)) y #s(literal 1/120 binary64))
(neg.f64 (/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))))
(neg.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64))) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))
(/.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64))) (.f64 #s(literal 1/16390160963076096000000 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))))) #s(literal 1/5159780352000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16390160963076096000000 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) (-.f64 #s(literal 1/2985984000000 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) #s(literal -1/221225582592000000 binary64)))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16390160963076096000000 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal -1/1728000 binary64)) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/16390160963076096000000 binary64) (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 y y)))) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/645241282560000 binary64) (+.f64 #s(literal 1/207360000 binary64) (.f64 (.f64 (.f64 y y) (.f64 y y)) #s(literal 1/365783040000 binary64)))) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (.f64 (.f64 y y) (.f64 y y))) #s(literal 1/645241282560000 binary64) #s(literal -1/207360000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal 1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (fma.f64 (.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 y y) #s(literal 1/5040 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))) (.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal 1/604800 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 y y) #s(literal 1/5040 binary64)))))

simplify534.0ms (5.5%)

Memory

13.8MiB live, 846.1MiB allocated

Algorithm

1×	egg-herbie

Rules

20 538×	`lower-fma.f64`
20 538×	`lower-fma.f32`
5 694×	`lower-*.f64`
5 694×	`lower-*.f32`
3 928×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	2192
1	419	2192
2	1140	2092
3	3678	2064
0	8260	1894

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 235

Calls

Call 1

Inputs
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 (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/ x (+ 1 (* 1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(* 6 (/ x (pow y 2)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
1
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* 1/6 (pow y 2)))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 1/6 (pow y 2))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(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))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* x (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))) 1)))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* x (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))
(* -1/6 x)
(+ (* -1/6 x) (* 1/120 (* x (pow y 2))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* -1/5040 (* x (pow y 4)))
(* (pow y 4) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 4) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
-1/6
(- (* 1/120 (pow y 2)) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 4))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 4) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
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 (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* 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)))))))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
(* x (sin y))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))

Outputs
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 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(+ 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 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y))
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/.f64 (fma.f64 (.f64 y y) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal 31/15120 binary64) #s(literal 7/360 binary64))) #s(literal 1/6 binary64)) #s(literal 1 binary64)) y)
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
y
(* y (+ 1 (* -1/6 (pow y 2))))
(fma.f64 y (.f64 (.f64 y y) #s(literal -1/6 binary64)) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (.f64 y y) (.f64 y (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #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 (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(sin y)
(sin.f64 y)
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
(/ x (+ 1 (* 1/6 (pow y 2))))
(/.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(+ x (* (pow y 2) (- (* 1/36 (* x (pow y 2))) (* 1/6 x))))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1/216 (* x (pow y 2))) (* -1/36 x))) (* 1/6 x))))
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (.f64 x (fma.f64 y (.f64 y #s(literal -1/216 binary64)) #s(literal 1/36 binary64))) (*.f64 x #s(literal -1/6 binary64))) x)
(* 6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 #s(literal 216 binary64) (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))))) (.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (.f64 y y)) (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))))) (.f64 y y))
(* 6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/ (+ (* -36 (/ x (pow y 2))) (* 6 x)) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (- (+ (* 6 x) (* 216 (/ x (pow y 4)))) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (fma.f64 #s(literal 216 binary64) (/.f64 x (.f64 y (.f64 y (.f64 y y)))) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -36 binary64) (.f64 y y))))) (.f64 y y))
(/ (- (+ (* -1296 (/ x (pow y 6))) (* 6 x)) (+ (* -216 (/ x (pow y 4))) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal -36 binary64) (.f64 y y)) (/.f64 #s(literal 216 binary64) (.f64 y (.f64 y (.f64 y y))))) (.f64 x (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -1296 binary64) (pow.f64 y #s(literal 6 binary64)))))) (.f64 y y))
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 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 #s(literal 1/6 binary64) (.f64 y y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 (.f64 y y) x) (fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(+ 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 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(* -1/5040 (* x (pow y 6)))
(.f64 #s(literal -1/5040 binary64) (.f64 x (pow.f64 y #s(literal 6 binary64))))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 x (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 y y)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
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(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
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x
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(.f64 y (fma.f64 (.f64 (.f64 y y) x) (fma.f64 y (.f64 y (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x))
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1/120
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(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
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(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
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(.f64 (.f64 y y) #s(literal -1/5040 binary64))
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(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
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(.f64 (.f64 y y) #s(literal -1/5040 binary64))
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(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
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eval170.0ms (1.8%)

Memory: -13.5MiB live, 254.0MiB allocated
Compiler: Compiled 21 483 to 1 949 computations (90.9% saved)

prune105.0ms (1.1%)

Memory

-8.5MiB live, 287.1MiB allocated

Pruning

32 alts after pruning (23 fresh and 9 done)

	Pruned	Kept	Total
New	904	17	921
Fresh	3	6	9
Picked	1	4	5
Done	0	5	5
Total	908	32	940

Accuracy

100.0%

Counts

940 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	52.5%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
	52.5%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
	99.5%	(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
	90.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.1%	(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	60.1%	(/.f64 x (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/6 binary64) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
	60.1%	(/.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.7%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	11.5%	(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)))
▶	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	89.0%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)) (neg.f64 y)))
	52.1%	(.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
	55.1%	(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
✓	88.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	60.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
▶	43.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
✓	90.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	52.4%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶	52.5%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	11.4%	(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
▶	52.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	53.2%	x

Compiler

Compiled 776 to 463 computations (40.3% saved)

simplify480.0ms (5%)

Memory

22.4MiB live, 616.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
✓	cost-diff	0	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
✓	cost-diff	0	(.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y x)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(*.f64 y #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 y (.f64 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	320	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
✓	cost-diff	384	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))

Rules

14 812×	`lower-fma.f32`
14 802×	`lower-fma.f64`
5 478×	`lower-*.f32`
5 456×	`lower-*.f64`
2 604×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	199
0	55	181
1	125	173
2	355	171
3	1135	170
4	4239	170
5	5483	170
6	5995	170
7	6480	170
8	6868	170
9	7307	170
0	10339	167

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)) y))
x
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (sin.f64 y))
#s(literal 1 binary64)
(sin.f64 y)
y
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
x
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
y
(*.f64 y #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y x)) x))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(.f64 #s(literal -1/6 binary64) (.f64 y x))
#s(literal -1/6 binary64)
(*.f64 y x)
x
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
x
(.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(*.f64 y y)
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(.f64 y (.f64 y y))

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

localize121.0ms (1.3%)

Memory

-9.7MiB live, 261.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	99.3%	(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	98.5%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
✓	accuracy	97.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
✓	accuracy	99.9%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
✓	accuracy	99.9%	(.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y x)) x))
✓	accuracy	99.2%	(.f64 #s(literal -1/6 binary64) (.f64 y x))
✓	accuracy	84.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	95.1%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)

Samples

77.0ms

256×

valid

Compiler

Compiled 218 to 35 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-mult: 26.0ms (44% of total)

ival-div: 11.0ms (18.6% of total)

const: 9.0ms (15.2% of total)

ival-sin: 7.0ms (11.8% of total)

ival-add: 6.0ms (10.1% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.2%)

Memory

-2.6MiB live, 38.2MiB allocated

Counts

19 → 312

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 y))>
#<alt (sin.f64 y)>
#<alt (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 y #s(literal -1/6 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y x)) x))>
#<alt (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)>
#<alt (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))>
#<alt (.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))>
#<alt (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)>
#<alt (.f64 #s(literal -1/6 binary64) (.f64 y x))>
#<alt (fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (.f64 y (.f64 y y))>

Outputs
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt (/ (* x (sin y)) y)>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))>
#<alt (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ y (sin y))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* 1/6 (pow y 2))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)>
#<alt (/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt (/ 1 (sin y))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (sin y)>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt (* -1/6 y)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* y (+ x (* -1/6 (* x (pow y 2)))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 3)))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* x (* y (+ 1 (* -1/6 (pow y 2)))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt (* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* x (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt (* -1 (* x (- (* 1/6 (pow y 2)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow y 2)))>
#<alt (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))>
#<alt (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 6))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt (/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)>
#<alt x>
#<alt (+ x (* -1/6 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))>
#<alt (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt (* -1/5040 (* x (pow y 6)))>
#<alt (* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))>
#<alt (* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))>
#<alt y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))>
#<alt (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))>
#<alt (* -1/5040 (pow y 7))>
#<alt (* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))>
#<alt (* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt (* -1/6 (* x y))>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (+ 1/120 (* -1/5040 (pow y 2)))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* -1/5040 (pow y 2))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>

Calls

78 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(* x (* (/ 1 y) (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y)))
1.0ms	x	@	0	(* x (* (/ 1 y) (+ (* (+ (* (* y y) (+ (* (* y y) -1/5040) 1/120)) -1/6) (* y (* y y))) y)))
1.0ms	x	@	0	(* x (+ (* y (* y -1/6)) 1))
1.0ms	x	@	0	(* (/ 1 y) (* y (+ (* y (* -1/6 (* y x))) x)))
1.0ms	x	@	inf	(* (/ 1 y) (* y (+ (* y (* -1/6 (* y x))) x)))

rewrite698.0ms (7.2%)

Memory

4.3MiB live, 763.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 130×	`lower-fma.f32`
9 120×	`lower-fma.f64`
4 636×	`lower-*.f32`
4 614×	`lower-*.f64`
3 982×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	160
0	55	142
1	221	134
2	1638	132
0	8556	130

Stop Event

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

Counts

19 → 1 240

Calls

Call 1

Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(/.f64 #s(literal 1 binary64) (sin.f64 y))
(sin.f64 y)
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal -1/6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
(/.f64 #s(literal 1 binary64) y)
(.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y x)) x))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y y)) y))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
(fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)
(.f64 #s(literal -1/6 binary64) (.f64 y x))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(.f64 y (.f64 y y))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 x (sin.f64 y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (neg.f64 (sin.f64 y)))) (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(neg.f64 (*.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (*.f64 x (sin.f64 y))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (sin.f64 y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (sin.f64 y)) (neg.f64 x)))
(/.f64 (neg.f64 x) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (sin.f64 y)))) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 (sin.f64 y) y))) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sin.f64 y) (/.f64 x (neg.f64 y))))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (sin.f64 y)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (.f64 x (sin.f64 y))))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (.f64 x (sin.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.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) (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(.f64 (pow.f64 (.f64 (/.f64 y (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))))) (neg.f64 (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))) (.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64))) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/128024064000 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal 1/14400 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(.f64 (neg.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (*.f64 y #s(literal -1/5040 binary64)) #s(literal -1/120 binary64)))))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/25401600 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal 1/5040 binary64) (*.f64 y y)))))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))
(/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 y (.f64 y y)) #s(literal 1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(.f64 #s(literal 1 binary64) (.f64 y (*.f64 y y)))
(.f64 y (.f64 y y))
(.f64 (.f64 y y) y)
(.f64 (.f64 y (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))

simplify911.0ms (9.4%)

Memory

18.7MiB live, 659.0MiB allocated

Algorithm

1×	egg-herbie

Rules

19 714×	`lower-fma.f64`
19 714×	`lower-fma.f32`
4 516×	`lower-*.f64`
4 516×	`lower-*.f32`
3 726×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	2456
1	411	2402
2	1194	2382
3	3722	2338
4	7497	2338
0	8084	2154

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 293

Calls

Call 1

Inputs
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* 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))))))
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) y)
(/ (* x (sin y)) 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)))))))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ y (sin y))
(/ 1 y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2))))) y)
(/ (+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2))))))) y)
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin y))
(/ 1 (sin 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))))
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(sin y)
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* -1/6 (pow y 2)))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
(* -1/6 y)
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x y)
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* y (+ x (* -1/6 (* x (pow y 2)))))
(* -1/6 (* x (pow y 3)))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 3) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 3)))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* -1 (* (pow y 3) (+ (* -1 (/ x (pow y 2))) (* 1/6 x))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* x (* y (+ 1 (* -1/6 (pow y 2)))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
(* -1 (* x (* y (- (* 1/6 (pow y 2)) 1))))
x
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(+ x (* -1/6 (* x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* -1/6 (* x (pow y 2)))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1/6 x) (/ x (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* x (+ 1 (* -1/6 (pow y 2))))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
(* -1 (* x (- (* 1/6 (pow y 2)) 1)))
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) y)
(/ (* x (+ y (* (pow y 3) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))) 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))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 6))))))
(* -1/5040 (* x (pow y 6)))
(* (pow y 6) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2)))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (* 1/120 (/ x (pow y 2))))))
(* (pow y 6) (+ (* -1/6 (/ x (pow y 4))) (+ (* -1/5040 x) (+ (* 1/120 (/ x (pow y 2))) (/ x (pow y 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))))
(* -1/5040 (pow y 7))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 7) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 7) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* -1/5040 (pow y 7))
(* -1 (* (pow y 7) (- 1/5040 (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (* 1/120 (/ 1 (pow y 2))))))
(* -1 (* (pow y 7) (- (+ 1/5040 (/ 1/6 (pow y 4))) (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))))))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
(* -1/6 (* x y))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(+ 1/120 (* -1/5040 (pow y 2)))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)

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

eval377.0ms (3.9%)

Memory: 4.4MiB live, 318.5MiB allocated
Compiler: Compiled 43 159 to 2 949 computations (93.2% saved)

prune261.0ms (2.7%)

Memory

-18.1MiB live, 434.2MiB allocated

Pruning

39 alts after pruning (25 fresh and 14 done)

	Pruned	Kept	Total
New	1 549	9	1 558
Fresh	2	16	18
Picked	0	5	5
Done	0	9	9
Total	1 551	39	1 590

Accuracy

100.0%

Counts

1 590 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.5%	(fma.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64) x)
✓	52.7%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	52.5%	(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
	52.5%	(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
	90.6%	(/.f64 (*.f64 (sin.f64 y) x) y)
	52.1%	(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
	88.6%	(/.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
	60.1%	(/.f64 x (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/6 binary64) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	60.1%	(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
	60.1%	(/.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.7%	(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
✓	99.8%	(/.f64 x (/.f64 y (sin.f64 y)))
	52.5%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	99.7%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	11.5%	(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
	59.9%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)))
✓	53.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	89.0%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)) (neg.f64 y)))
	52.1%	(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
	52.1%	(.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
	55.1%	(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
✓	88.3%	(*.f64 (/.f64 x y) (sin.f64 y))
	60.1%	(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
	22.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 x x)) y) (fma.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))) (neg.f64 x))))
✓	43.1%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
	42.7%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
✓	90.3%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
✓	52.4%	(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	52.5%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	11.4%	(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
	51.7%	(.f64 x (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
✓	52.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
✓	99.7%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
	2.9%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	53.2%	x

Compiler

Compiled 1 220 to 520 computations (57.4% saved)

regimes68.0ms (0.7%)

Memory

6.6MiB live, 120.6MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
(fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 x x)) y) (fma.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))) (neg.f64 x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(/.f64 (sin.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(.f64 (/.f64 (neg.f64 (.f64 x (sin.f64 y))) (neg.f64 (*.f64 y y))) y)
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 y) x)) (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (sin.f64 y))))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) y))))) x) (.f64 (sin.f64 y) (neg.f64 y)))

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

Calls

4 calls:

23.0ms	x
17.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms	(/.f64 (sin.f64 y) y)
13.0ms	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 20 to 13 computations (35% saved)

regimes72.0ms (0.7%)

Memory

-20.1MiB live, 98.1MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
(fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 x x)) y) (fma.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))) (neg.f64 x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))

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

Calls

4 calls:

34.0ms	(/.f64 (sin.f64 y) y)
12.0ms	y
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	x

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 20 to 13 computations (35% saved)

regimes39.0ms (0.4%)

Memory

32.7MiB live, 71.1MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y)))
(/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
(/.f64 x (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))) x)
(.f64 (/.f64 x y) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x)) #s(literal -1/6 binary64) x)
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y x)) x)))
(fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(/.f64 x (fma.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal -1 binary64)))
(/.f64 x (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y))) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (.f64 y y)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y (.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)))) x)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))) (.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal 1/216 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 y y) #s(literal -1/6 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(.f64 x (.f64 (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (.f64 (-.f64 (.f64 (.f64 x x) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 x x)) y) (fma.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))) (neg.f64 x))))

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

Calls

4 calls:

10.0ms	y
9.0ms	x
9.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
60.1%	1	`x`
60.1%	1	`y`
60.1%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
60.1%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes27.0ms (0.3%)

Memory

-12.1MiB live, 26.8MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	y
3.0ms	x
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
59.9%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
53.2%	1	`x`
60.2%	2	`(/.f64 (sin.f64 y) y)`
60.2%	2	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
60.2%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.4%)

Memory

-17.8MiB live, 19.7MiB allocated

Accuracy

Total -32.5b remaining (-108.4%)

Threshold costs -32.5b (-108.4%)

Counts

7 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

30.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
53.2%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
53.2%	1	`(/.f64 (sin.f64 y) y)`
53.2%	1	`y`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch20.0ms (0.2%)

Memory

-7.2MiB live, 34.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.8771831546015469	32084765.791370597

Samples

10.0ms

144×

valid

Compiler

Compiled 200 to 145 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 5.0ms (68.5% of total)

ival-div: 1.0ms (13.7% of total)

ival-mult: 1.0ms (13.7% of total)

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

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

bsearch17.0ms (0.2%)

Memory

32.2MiB live, 32.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.8771831546015469	32084765.791370597

Samples

10.0ms

144×

valid

Compiler

Compiled 200 to 145 computations (27.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sin: 5.0ms (72.3% of total)

ival-div: 1.0ms (14.5% of total)

ival-mult: 1.0ms (14.5% of total)

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

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

simplify8.0ms (0.1%)

Memory

-15.5MiB live, 24.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	59
1	35	59

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 1850 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 1850 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))))
x

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 (*.f64 y #s(literal 1/6 binary64)) y #s(literal 1 binary64)))
(if (<=.f64 y #s(literal 1850 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 x (.f64 #s(literal 1/6 binary64) (.f64 y y))))
(if (<=.f64 y #s(literal 1850 binary64)) (.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))) (.f64 x (/.f64 #s(literal 6 binary64) (.f64 y y))))
x

soundness1.0s (10.8%)

Memory

6.7MiB live, 928.2MiB allocated

Rules

20 538×	`lower-fma.f64`
20 538×	`lower-fma.f32`
17 144×	`lower-fma.f64`
17 144×	`lower-fma.f32`
16 120×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	104
0	39	106
1	173	94
2	1195	94
0	8337	94
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	147	2192
1	419	2192
2	1140	2092
3	3678	2064
0	8260	1894
0	43	306
1	118	306
2	310	296
3	910	294
4	1439	294
5	2227	294
6	3349	294
7	3639	294
8	4369	294
9	6831	294
0	8504	276
0	19	77
0	35	73
1	119	71
2	709	71
3	6500	71
0	8306	71
0	84	1466
1	230	1466
2	593	1408
3	1718	1402
4	3259	1402
5	5736	1402
0	8206	1303

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

Compiler

Compiled 179 to 106 computations (40.8% saved)

preprocess48.0ms (0.5%)

Memory

-8.5MiB live, 150.0MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 202 to 102 computations (49.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	19	95
0	35	91
1	67	89
2	176	89
3	417	89
4	669	89
5	726	89
6	761	89
7	786	89
8	792	89
9	792	89
0	792	89

Iter	Nodes	Cost
0	19	95
0	35	91
1	67	89
2	176	89
3	417	89
4	669	89
5	726	89
6	761	89
7	786	89
8	792	89
9	792	89
0	792	89

analyze13.0ms (0.1%)

sample1.1s (11.8%)

preprocess49.0ms (0.5%)

explain71.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize24.0ms (0.2%)

series6.0ms (0.1%)

rewrite85.0ms (0.9%)

simplify427.0ms (4.4%)

eval21.0ms (0.2%)

prune29.0ms (0.3%)

simplify40.0ms (0.4%)

localize77.0ms (0.8%)

series16.0ms (0.2%)

rewrite340.0ms (3.5%)

simplify749.0ms (7.8%)

eval413.0ms (4.3%)

prune193.0ms (2%)

simplify365.0ms (3.8%)

localize121.0ms (1.2%)

series16.0ms (0.2%)

rewrite402.0ms (4.2%)

simplify534.0ms (5.5%)

eval170.0ms (1.8%)

prune105.0ms (1.1%)

simplify480.0ms (5%)

localize121.0ms (1.3%)

series20.0ms (0.2%)

rewrite698.0ms (7.2%)

simplify911.0ms (9.4%)

eval377.0ms (3.9%)

prune261.0ms (2.7%)

regimes68.0ms (0.7%)

regimes72.0ms (0.7%)

regimes39.0ms (0.4%)

regimes27.0ms (0.3%)

regimes4.0ms (0%)

regimes36.0ms (0.4%)

bsearch20.0ms (0.2%)

bsearch17.0ms (0.2%)

simplify8.0ms (0.1%)

soundness1.0s (10.8%)

preprocess48.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	19	95
0	35	91
1	67	89
2	176	89
3	417	89
4	669	89
5	726	89
6	761	89
7	786	89
8	792	89
9	792	89
0	792	89