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

analyze12.0ms (0.1%)

Memory

-11.1MiB live, 28.3MiB 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)

sample827.0ms (8.2%)

Memory

18.7MiB live, 1 333.3MiB allocated

Samples

582.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-sin: 211.0ms (62.3% of total)

ival-div: 63.0ms (18.6% of total)

ival-mult: 56.0ms (16.5% of total)

ival-true: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

preprocess82.0ms (0.8%)

Memory

-10.5MiB live, 66.9MiB allocated

Algorithm

2×	egg-herbie

Rules

630×	`times-frac`
300×	`associate-r`
288×	`associate-l`
182×	`unsub-neg`
180×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	49	38
2	125	38
3	331	38
4	1120	38
5	1825	38
6	1918	38
7	1952	38
8	1980	38
9	1992	38
10	1992	38
0	5	6
1	8	6
2	10	6
3	12	6
4	13	6
0	13	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

Outputs
(* x (/ (sin y) y))
(/ (* x (sin y)) y)
(* (neg x) (/ (sin y) y))
(* (sin y) (/ x (neg y)))
(* x (/ (sin (neg y)) (neg y)))
(/ (* x (sin y)) y)
(neg (* (neg x) (/ (sin y) y)))
(/ (* x (sin y)) y)
(neg (* x (/ (sin (neg y)) (neg y))))
(* (sin y) (/ x (neg y)))
(* y (/ (sin x) x))
(/ (* y (sin x)) x)

Symmetry

(abs y)

(negabs x)

explain67.0ms (0.7%)

Memory

17.1MiB live, 136.8MiB 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

36.0ms

512×

valid

Compiler

Compiled 48 to 24 computations (50% saved)

Precisions

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

ival-sin: 13.0ms (65.6% of total)

ival-div: 4.0ms (20.2% of total)

ival-mult: 3.0ms (15.1% 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

1.2MiB live, 1.2MiB 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)

simplify7.0ms (0.1%)

Memory

-27.7MiB live, 6.4MiB 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×	`-lowering-.f32`
12×	`-lowering-.f64`
6×	`*-commutative`
6×	`/-lowering-/.f32`
6×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	8	14
2	10	14
3	12	14
4	13	14
0	13	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize22.0ms (0.2%)

Memory

10.1MiB live, 49.4MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

16.0ms

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: 5.0ms (51.1% of total)

ival-div: 3.0ms (30.6% of total)

ival-mult: 1.0ms (10.2% of total)

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

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

series6.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

3 → 48

Calls

Call 1

Inputs
#<alt (* x (/ (sin y) y))>
#<alt (/ (sin y) y)>
#<alt (sin 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))
1.0ms	x	@	inf	(* x (/ (sin y) y))

rewrite87.0ms (0.9%)

Memory

-21.6MiB live, 138.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

836×	`-lowering-.f32`
836×	`-lowering-.f64`
718×	`/-lowering-/.f32`
718×	`/-lowering-/.f64`
220×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
1	16	12
2	69	12
3	331	12
0	1793	12

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

simplify433.0ms (4.3%)

Memory

27.0MiB live, 581.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 120×	`accelerator-lowering-fma.f32`
16 120×	`accelerator-lowering-fma.f64`
4 374×	`-lowering-.f32`
4 374×	`-lowering-.f64`
2 386×	`--lowering--.f32`

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 → 48

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)

eval20.0ms (0.2%)

Memory: 7.2MiB live, 45.7MiB allocated
Compiler: Compiled 2 208 to 442 computations (80% saved)

prune32.0ms (0.3%)

Memory

-6.5MiB live, 73.6MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	188	13	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	188	14	202

Accuracy

100.0%

Counts

202 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
	56.4%	(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)
	56.4%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
	87.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
	46.9%	(/.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)))
	84.0%	(/.f64 (*.f64 x (sin.f64 y)) y)
	99.4%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	83.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
▶	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	56.4%	(.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)))
	56.3%	(.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))
▶	99.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	56.4%	x

Compiler

Compiled 300 to 197 computations (34.3% saved)

simplify34.0ms (0.3%)

Memory

10.2MiB live, 49.2MiB 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 x (sin.f64 y))
✓	cost-diff	0	(/.f64 y (*.f64 x (sin.f64 y)))
✓	cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (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	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))

Rules

536×	`-lowering-.f32`
536×	`-lowering-.f64`
476×	`accelerator-lowering-fma.f32`
476×	`accelerator-lowering-fma.f64`
368×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	56	99
2	140	99
3	362	99
4	665	99
5	738	99
6	826	99
7	903	99
8	927	99
9	930	99
10	930	99
0	930	94

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize90.0ms (0.9%)

Memory

-51.9MiB live, 170.6MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 x (sin.f64 y))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
✓	accuracy	84.0%	(/.f64 y (*.f64 x (sin.f64 y)))
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	accuracy	100.0%	(fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))
✓	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	97.4%	(.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)))
✓	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))

Samples

62.0ms

256×

valid

Compiler

Compiled 102 to 23 computations (77.5% saved)

Precisions

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

ival-mult: 23.0ms (49.3% of total)

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

const: 7.0ms (15% of total)

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

ival-add: 3.0ms (6.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

14 → 252

Calls

Call 1

Inputs
#<alt (* (/ 1 y) (sin y))>
#<alt (* x (* (/ 1 y) (sin y)))>
#<alt (/ 1 y)>
#<alt (sin y)>
#<alt (* x (+ (* (* y y) (+ (* y (* y 1/120)) -1/6)) 1))>
#<alt (+ (* (* y y) (+ (* y (* y 1/120)) -1/6)) 1)>
#<alt (* y y)>
#<alt (+ (* y (* y 1/120)) -1/6)>
#<alt (* (/ x y) (sin y))>
#<alt (/ x y)>
#<alt (/ 1 (/ y (* x (sin y))))>
#<alt (/ y (* x (sin y)))>
#<alt (* x (sin y))>
#<alt (* y 1/120)>

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

63 calls:

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

rewrite559.0ms (5.5%)

Memory

12.6MiB live, 520.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 224×	`accelerator-lowering-fma.f32`
7 224×	`accelerator-lowering-fma.f64`
4 588×	`-lowering-.f32`
4 588×	`-lowering-.f64`
2 614×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	106	81
2	685	81
3	6523	81
0	8040	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 690

Calls

Call 1

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

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

simplify829.0ms (8.2%)

Memory

-12.6MiB live, 1 058.0MiB allocated

Algorithm

1×	egg-herbie

Rules

27 648×	`accelerator-lowering-fma.f32`
27 648×	`accelerator-lowering-fma.f64`
5 152×	`-lowering-.f32`
5 152×	`-lowering-.f64`
3 312×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1702
1	272	1702
2	745	1636
3	2230	1622
4	4103	1622
5	7056	1622
0	8083	1517

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

eval116.0ms (1.2%)

Memory: -6.8MiB live, 272.1MiB allocated
Compiler: Compiled 18 474 to 1 632 computations (91.2% saved)

prune91.0ms (0.9%)

Memory

10.9MiB live, 246.9MiB allocated

Pruning

22 alts after pruning (17 fresh and 5 done)

	Pruned	Kept	Total
New	964	12	976
Fresh	3	5	8
Picked	1	4	5
Done	0	1	1
Total	968	22	990

Accuracy

100.0%

Counts

990 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
	56.4%	(fma.f64 (.f64 y (.f64 y 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)
	56.4%	(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
	56.4%	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x)) x)
	87.5%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
▶	84.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	46.9%	(/.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)))
	88.2%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	99.4%	(/.f64 x (/.f64 y (sin.f64 y)))
	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
	40.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
	56.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
	66.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)))))))
▶	45.2%	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	52.3%	(*.f64 (/.f64 x y) y)
✓	56.4%	(.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)))
▶	56.3%	(.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))
✓	99.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
▶	56.3%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	56.4%	x

Compiler

Compiled 436 to 279 computations (36% saved)

simplify332.0ms (3.3%)

Memory

-20.1MiB live, 371.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 y)
✓	cost-diff	0	(*.f64 (sin.f64 y) x)
✓	cost-diff	0	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	cost-diff	0	(.f64 y (.f64 y y))
✓	cost-diff	0	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	1024	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	320	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	cost-diff	1024	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	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 y (sin.f64 y))
✓	cost-diff	384	(/.f64 x (/.f64 y (sin.f64 y)))

Rules

6 308×	`-lowering-.f32`
6 308×	`-lowering-.f64`
3 082×	`cube-prod`
2 278×	`/-lowering-/.f32`
2 278×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	87
1	60	87
2	119	87
3	421	87
4	1267	87
5	1894	87
6	2311	87
7	2381	87
8	2469	87
9	2593	87
10	2753	87
11	3638	87
12	4183	87
13	4605	87
14	5124	87
15	5723	87
16	6035	87
17	6371	87
18	6470	87
19	6578	87
20	6683	87
21	7392	87
0	8211	83

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (/ y (sin y)))
x
(/ y (sin y))
y
(sin y)
(* x (+ (* y (* y -1/6)) 1))
x
(+ (* y (* y -1/6)) 1)
y
(* y -1/6)
-1/6
1
(* x (* (/ 1 y) y))
x
(* (/ 1 y) y)
(/ 1 y)
1
y
(* (/ x y) (+ (* -1/6 (* y (* y y))) y))
(/ x y)
x
y
(+ (* -1/6 (* y (* y y))) y)
-1/6
(* y (* y y))
(* y y)
(/ (* (sin y) x) y)
(* (sin y) x)
(sin y)
y
x

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

localize202.0ms (2%)

Memory

5.9MiB live, 83.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(*.f64 (sin.f64 y) x)
✓	accuracy	84.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.9%	(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y y)) y)
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	74.5%	(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	100.0%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) y) y)
✓	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	94.0%	(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.8%	(/.f64 y (sin.f64 y))
✓	accuracy	99.5%	(/.f64 x (/.f64 y (sin.f64 y)))

Samples

178.0ms

256×

valid

Compiler

Compiled 103 to 24 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 76.0ms (78.8% of total)

ival-div: 8.0ms (8.3% of total)

ival-sin: 6.0ms (6.2% of total)

const: 4.0ms (4.1% of total)

ival-add: 2.0ms (2.1% of total)

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

exact: 0.0ms (0% of total)

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

series80.0ms (0.8%)

Memory

-14.6MiB live, 23.4MiB allocated

Counts

16 → 276

Calls

Call 1

Inputs
#<alt (/ x (/ y (sin y)))>
#<alt (/ y (sin y))>
#<alt (sin y)>
#<alt (* x (+ (* y (* y -1/6)) 1))>
#<alt (+ (* y (* y -1/6)) 1)>
#<alt (* y -1/6)>
#<alt (* (/ 1 y) y)>
#<alt (* x (* (/ 1 y) y))>
#<alt (/ 1 y)>
#<alt (* (/ x y) (+ (* -1/6 (* y (* y y))) y))>
#<alt (/ x y)>
#<alt (+ (* -1/6 (* y (* y y))) y)>
#<alt (* y (* y y))>
#<alt (/ (* (sin y) x) y)>
#<alt (* (sin y) x)>
#<alt (* 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 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 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<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 (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<alt (/ (* x (+ y (* -1/6 (pow y 3)))) y)>
#<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 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 y>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* y (+ 1 (* -1/6 (pow y 2))))>
#<alt (* -1/6 (pow y 3))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* (pow y 3) (- (/ 1 (pow y 2)) 1/6))>
#<alt (* -1/6 (pow y 3))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<alt (* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))>
#<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)>
#<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 (* 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 (* 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 (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)>

Calls

69 calls:

Time	Variable		Point	Expression
66.0ms	y	@	inf	(* (/ x y) (+ (* -1/6 (* y (* y y))) y))
3.0ms	x	@	-inf	(* x (+ (* y (* y -1/6)) 1))
1.0ms	x	@	0	(* (/ x y) (+ (* -1/6 (* y (* y y))) y))
1.0ms	y	@	-inf	(* (/ x y) (+ (* -1/6 (* y (* y y))) y))
1.0ms	x	@	0	(* x (+ (* y (* y -1/6)) 1))

rewrite551.0ms (5.5%)

Memory

25.6MiB live, 584.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 548×	`accelerator-lowering-fma.f32`
6 548×	`accelerator-lowering-fma.f64`
5 246×	`-lowering-.f32`
5 246×	`-lowering-.f64`
3 378×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	73
1	113	71
2	719	71
0	8177	67

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 1 202

Calls

Call 1

Inputs
(/ x (/ y (sin y)))
(/ y (sin y))
(sin y)
(* x (+ (* y (* y -1/6)) 1))
(+ (* y (* y -1/6)) 1)
(* y -1/6)
(* (/ 1 y) y)
(* x (* (/ 1 y) y))
(/ 1 y)
(* (/ x y) (+ (* -1/6 (* y (* y y))) y))
(/ x y)
(+ (* -1/6 (* y (* y y))) y)
(* y (* y y))
(/ (* (sin y) x) y)
(* (sin y) x)
(* y y)

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 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 (/.f64 y x) (/.f64 y (sin.f64 y))))
(/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y x)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.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 y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 y) (*.f64 (/.f64 y x) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (.f64 x y) (.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (.f64 x y) (.f64 (/.f64 y (sin.f64 y)) y))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 y)))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (neg.f64 (/.f64 y (sin.f64 y))) y))
(/.f64 (.f64 (.f64 x y) #s(literal -1 binary64)) (*.f64 y (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 y (neg.f64 x))) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 y)))
(/.f64 (.f64 y (sin.f64 y)) (.f64 (/.f64 y x) y))
(/.f64 (.f64 y (neg.f64 (sin.f64 y))) (.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (.f64 (.f64 x y) (sin.f64 y)) (*.f64 y y))
(/.f64 (.f64 (.f64 x y) (neg.f64 (sin.f64 y))) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (sin.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 (sin.f64 y) y) (.f64 y (/.f64 y x)))
(/.f64 (.f64 (sin.f64 y) (.f64 x y)) (*.f64 y y))
(/.f64 (.f64 (sin.f64 y) (.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (neg.f64 x))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) y) (.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 x y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) y) (/.f64 y x))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 x y)) y)
(/.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 y x))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 y (neg.f64 x))) (neg.f64 y))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (/.f64 (sin.f64 y) y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #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 y (/.f64 (/.f64 x y) (/.f64 y (sin.f64 y))))
(.f64 y (.f64 (/.f64 x y) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.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 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 y (/.f64 y (sin.f64 y))))
(.f64 (/.f64 x y) (.f64 y (/.f64 (sin.f64 y) y)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x (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 (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.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 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (sin.f64 y))))
(.f64 (.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 y (neg.f64 y)) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 y)) (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) 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)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) y) (/.f64 x y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 y) 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) (neg.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (neg.f64 y) (neg.f64 (sin.f64 y)))
(/.f64 (neg.f64 y) (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 y))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(/.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))
(pow.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(*.f64 y (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (sin.f64 y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (sin.f64 y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 y)) (neg.f64 y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sin.f64 y) y) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(sin.f64 y)
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(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (fma.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y))))) #s(literal 1/46656 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))))))) (fma.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (-.f64 (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64)))) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))) (.f64 (.f64 (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y y) (.f64 y (.f64 y (*.f64 y y))))) #s(literal 1/1296 binary64))))
(.f64 (/.f64 (fma.f64 y (.f64 y y) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)))))) (.f64 (fma.f64 (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))) (.f64 y y)) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))))) (-.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)))) (.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (fma.f64 (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 y (neg.f64 y)) y))) (fma.f64 y (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (.f64 (.f64 y y) (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 y)))
(/.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))
(/.f64 (.f64 (neg.f64 y) (.f64 y y)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 y y) (neg.f64 y)) #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 y (.f64 y y))
(.f64 #s(literal 1 binary64) (.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)))
(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)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (neg.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 x (sin.f64 y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 y (*.f64 (/.f64 y x) (/.f64 y (sin.f64 y))))
(/.f64 y (*.f64 (/.f64 y (sin.f64 y)) (/.f64 y x)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.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 y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 y) (*.f64 (/.f64 y x) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (neg.f64 y) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (/.f64 y x)))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 y (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 x (sin.f64 y))) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (.f64 x y) (.f64 y (/.f64 y (sin.f64 y))))
(/.f64 (.f64 x y) (.f64 (/.f64 y (sin.f64 y)) y))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (/.f64 y (sin.f64 y)) (neg.f64 y)))
(/.f64 (.f64 y (neg.f64 x)) (.f64 (neg.f64 (/.f64 y (sin.f64 y))) y))
(/.f64 (.f64 (.f64 x y) #s(literal -1 binary64)) (*.f64 y (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 (.f64 y (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 (/.f64 y (sin.f64 y)))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 y (neg.f64 x))) (*.f64 (neg.f64 (/.f64 y (sin.f64 y))) (neg.f64 y)))
(/.f64 (.f64 y (sin.f64 y)) (.f64 (/.f64 y x) y))
(/.f64 (.f64 y (neg.f64 (sin.f64 y))) (.f64 (/.f64 y x) (neg.f64 y)))
(/.f64 (.f64 (.f64 x y) (sin.f64 y)) (*.f64 y y))
(/.f64 (.f64 (.f64 x y) (neg.f64 (sin.f64 y))) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (sin.f64 y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (neg.f64 (sin.f64 y))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (.f64 (sin.f64 y) y) (.f64 y (/.f64 y x)))
(/.f64 (.f64 (sin.f64 y) (.f64 x y)) (*.f64 y y))
(/.f64 (.f64 (sin.f64 y) (.f64 y (neg.f64 x))) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (neg.f64 x))) (neg.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) y) (.f64 (neg.f64 y) (/.f64 y x)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 x y)) (*.f64 y (neg.f64 y)))
(/.f64 (.f64 (neg.f64 (sin.f64 y)) (.f64 y (neg.f64 x))) (*.f64 (neg.f64 y) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) y) (/.f64 y x))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 x y)) y)
(/.f64 (*.f64 y (/.f64 (sin.f64 y) y)) (/.f64 y x))
(/.f64 (.f64 (/.f64 (sin.f64 y) y) (.f64 y (neg.f64 x))) (neg.f64 y))
(/.f64 (.f64 (.f64 y (neg.f64 x)) (/.f64 (sin.f64 y) y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 (*.f64 x (sin.f64 y))) #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 y (/.f64 (/.f64 x y) (/.f64 y (sin.f64 y))))
(.f64 y (.f64 (/.f64 x y) (/.f64 (sin.f64 y) y)))
(*.f64 (sin.f64 y) (/.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 #s(literal 1 binary64) y) (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 x y) (/.f64 y (/.f64 y (sin.f64 y))))
(.f64 (/.f64 x y) (.f64 y (/.f64 (sin.f64 y) y)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(.f64 (neg.f64 (.f64 x (sin.f64 y))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (sin.f64 y) y)) (neg.f64 x))
(.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (.f64 x (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 (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(*.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 y) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (sin.f64 y))))
(.f64 (.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (sin.f64 y) y)))
(.f64 (/.f64 y (neg.f64 y)) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (/.f64 x y) y) (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 (/.f64 x y) (neg.f64 y)) (/.f64 y (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(.f64 (/.f64 (.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y))) (/.f64 (/.f64 #s(literal 1 binary64) y) 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)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) y) (/.f64 x y))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (/.f64 x y)) y)
(.f64 (.f64 (/.f64 (sin.f64 y) y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (sin.f64 y))))
(neg.f64 (neg.f64 (*.f64 x (sin.f64 y))))
(/.f64 (*.f64 y (sin.f64 y)) (/.f64 y x))
(/.f64 (.f64 (.f64 x y) (sin.f64 y)) y)
(/.f64 (.f64 (.f64 y (neg.f64 x)) (sin.f64 y)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) y) (/.f64 y x))
(/.f64 (.f64 (sin.f64 y) (.f64 x y)) y)
(/.f64 (.f64 (sin.f64 y) (.f64 y (neg.f64 x))) (neg.f64 y))
(*.f64 x (sin.f64 y))
(.f64 y (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (sin.f64 y) x)
(.f64 #s(literal 1 binary64) (.f64 x (sin.f64 y)))
(.f64 (/.f64 x y) (.f64 y (sin.f64 y)))
(.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64))
(.f64 (/.f64 (.f64 x (sin.f64 y)) y) y)
(.f64 #s(literal -1 binary64) (neg.f64 (.f64 x (sin.f64 y))))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sin.f64 y)))
(.f64 (.f64 x y) (/.f64 (sin.f64 y) y))
(.f64 (.f64 (sin.f64 y) y) (/.f64 x y))
(.f64 (.f64 (sin.f64 y) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 y)) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify541.0ms (5.4%)

Memory

15.3MiB live, 404.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 058×	`accelerator-lowering-fma.f32`
9 058×	`accelerator-lowering-fma.f64`
4 788×	`-lowering-.f32`
4 788×	`-lowering-.f64`
2 238×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	1444
1	242	1418
2	632	1406
3	1900	1400
4	6030	1400
0	8630	1310

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

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 (+ 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)
1
1
1
1
1
1
1
1
1
1
1
1
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ 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 (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
(/ (* x (+ y (* -1/6 (pow y 3)))) y)
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 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)
y
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* y (+ 1 (* -1/6 (pow y 2))))
(* -1/6 (pow y 3))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* (pow y 3) (- (/ 1 (pow y 2)) 1/6))
(* -1/6 (pow y 3))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(* -1 (* (pow y 3) (- 1/6 (/ 1 (pow y 2)))))
(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)
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)
(* 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))
(* 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))
(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)

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

eval297.0ms (2.9%)

Memory: 14.5MiB live, 283.2MiB allocated
Compiler: Compiled 29 919 to 2 033 computations (93.2% saved)

prune472.0ms (4.7%)

Memory

-8.0MiB live, 272.0MiB allocated

Pruning

39 alts after pruning (30 fresh and 9 done)

	Pruned	Kept	Total
New	1 475	24	1 499
Fresh	6	6	12
Picked	1	4	5
Done	0	5	5
Total	1 482	39	1 521

Accuracy

100.0%

Counts

1 521 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
	56.4%	(fma.f64 (.f64 y (.f64 y 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)
	56.4%	(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
	56.4%	(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
	56.4%	(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
	56.2%	(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
	46.4%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (/.f64 y x))
	52.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	24.5%	(/.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (.f64 (/.f64 y (neg.f64 x)) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
✓	84.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	46.9%	(/.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)))
	40.6%	(/.f64 (*.f64 y x) y)
	88.2%	(/.f64 (sin.f64 y) (/.f64 y x))
	66.5%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	66.5%	(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
	66.3%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	99.4%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	99.3%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
	53.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
	46.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
▶	57.1%	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	28.9%	(.f64 (/.f64 x y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
	4.0%	(.f64 (/.f64 x y) (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	52.3%	(*.f64 (/.f64 x y) y)
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
	46.0%	(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x y)) y)
	40.5%	(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))
▶	56.3%	(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
✓	56.4%	(.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)))
✓	56.3%	(.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))
	56.0%	(.f64 x (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	56.6%	(.f64 x (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	99.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	56.3%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
▶	3.3%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	56.4%	x

Compiler

Compiled 1 047 to 616 computations (41.2% saved)

simplify423.0ms (4.2%)

Memory

-9.2MiB live, 348.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (.f64 y y) #s(literal 1/36 binary64))
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(fma.f64 (.f64 y y) (.f64 (*.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64))
✓	cost-diff	0	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	0	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
✓	cost-diff	1344	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y y)))
✓	cost-diff	0	(.f64 y (.f64 y x))
✓	cost-diff	0	(*.f64 y #s(literal 1/120 binary64))
✓	cost-diff	0	(fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
✓	cost-diff	0	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	cost-diff	0	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	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

6 536×	`-lowering-.f32`
6 536×	`-lowering-.f64`
5 908×	`accelerator-lowering-fma.f32`
5 908×	`accelerator-lowering-fma.f64`
2 576×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	182
1	94	166
2	217	162
3	678	162
4	1748	162
5	2191	162
6	2796	162
7	4094	162
8	5751	162
0	8123	152

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ x (* (/ 1 (sin y)) y))
x
(* (/ 1 (sin y)) y)
(/ 1 (sin y))
1
(sin y)
y
(* x (* -1/6 (* y y)))
x
(* -1/6 (* y y))
-1/6
(* y y)
y
(+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y x))) x)
(+ (* y (* y 1/120)) -1/6)
y
(* y 1/120)
1/120
-1/6
(* y (* y x))
(* y x)
x
(* x (+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1))
x
(+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1)
(* (/ 1 y) (* y (* y y)))
(/ 1 y)
1
y
(* y (* y y))
(* y y)
-1/6
(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
(+ (* (* y y) (* (* y y) 1/36)) -1)
(* y y)
y
(* (* y y) 1/36)
1/36
-1
(/ x (+ (* y (* y -1/6)) -1))
x
(+ (* y (* y -1/6)) -1)
(* y -1/6)
-1/6

Outputs
(/ x (* (/ 1 (sin y)) y))
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(* (/ 1 (sin y)) y)
(/.f64 y (sin.f64 y))
(/ 1 (sin y))
(/.f64 #s(literal 1 binary64) (sin.f64 y))
1
#s(literal 1 binary64)
(sin y)
(sin.f64 y)
y
(* x (* -1/6 (* y y)))
(.f64 y (.f64 x (*.f64 y #s(literal -1/6 binary64))))
x
(* -1/6 (* y y))
(.f64 y (.f64 y #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* y y)
(*.f64 y y)
y
(+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y x))) x)
(fma.f64 (fma.f64 (.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 x (*.f64 y y)) x)
(+ (* y (* y 1/120)) -1/6)
(fma.f64 (*.f64 y y) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
y
(* y 1/120)
(*.f64 y #s(literal 1/120 binary64))
1/120
#s(literal 1/120 binary64)
-1/6
#s(literal -1/6 binary64)
(* y (* y x))
(.f64 x (.f64 y y))
(* y x)
(*.f64 x y)
x
(* x (+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)
x
(+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(* (/ 1 y) (* y (* y y)))
(*.f64 y y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* y (* y y))
(.f64 y (.f64 y y))
(* y y)
(*.f64 y y)
-1/6
#s(literal -1/6 binary64)
(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
(/.f64 (.f64 x (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(+ (* (* y y) (* (* y y) 1/36)) -1)
(fma.f64 (.f64 y y) (.f64 y (*.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))
(* y y)
(*.f64 y y)
y
(* (* y y) 1/36)
(.f64 y (.f64 y #s(literal 1/36 binary64)))
1/36
#s(literal 1/36 binary64)
-1
#s(literal -1 binary64)
(/ x (+ (* y (* y -1/6)) -1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
x
(+ (* y (* y -1/6)) -1)
(fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))
(* y -1/6)
(*.f64 y #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)

localize212.0ms (2.1%)

Memory

-11.8MiB live, 229.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (.f64 y y) #s(literal 1/36 binary64))
✓	accuracy	99.5%	(*.f64 y #s(literal -1/6 binary64))
✓	accuracy	95.6%	(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
✓	accuracy	74.3%	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
✓	accuracy	99.8%	(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓	accuracy	99.8%	(.f64 y (.f64 y y))
✓	accuracy	94.0%	(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
✓	accuracy	87.5%	(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (*.f64 y y)))
✓	accuracy	100.0%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
✓	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	99.8%	(.f64 y (.f64 y x))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 y y))
✓	accuracy	86.2%	(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
✓	accuracy	100.0%	(sin.f64 y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (sin.f64 y))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y)
✓	accuracy	99.5%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))

Samples

118.0ms

256×

valid

Compiler

Compiled 186 to 37 computations (80.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 47.0ms (61.6% of total)

const: 9.0ms (11.8% of total)

ival-div: 7.0ms (9.2% of total)

ival-sin: 7.0ms (9.2% of total)

ival-add: 6.0ms (7.9% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.2%)

Memory

8.8MiB live, 47.7MiB allocated

Counts

21 → 336

Calls

Call 1

Inputs
#<alt (/ x (* (/ 1 (sin y)) y))>
#<alt (* (/ 1 (sin y)) y)>
#<alt (/ 1 (sin y))>
#<alt (sin y)>
#<alt (* x (* -1/6 (* y y)))>
#<alt (* -1/6 (* y y))>
#<alt (* y y)>
#<alt (+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y x))) x)>
#<alt (+ (* y (* y 1/120)) -1/6)>
#<alt (* y 1/120)>
#<alt (* y (* y x))>
#<alt (* (/ 1 y) (* y (* y y)))>
#<alt (* x (+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1))>
#<alt (+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1)>
#<alt (/ 1 y)>
#<alt (* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))>
#<alt (+ (* (* y y) (* (* y y) 1/36)) -1)>
#<alt (* (* y y) 1/36)>
#<alt (* y (* y y))>
#<alt (/ x (+ (* y (* y -1/6)) -1))>
#<alt (* y -1/6)>

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 (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (* x (pow y 2)))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (pow y 2))>
#<alt (* -1/6 (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) (* 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 (* 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 (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<alt (* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))>
#<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 (* 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)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (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 (+ 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 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>
#<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 (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt (/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))>
#<alt -1>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (- (* 1/36 (pow y 4)) 1)>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* 1/36 (pow y 4))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* (pow y 4) (- 1/36 (/ 1 (pow y 4))))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<alt (* 1/36 (pow y 2))>
#<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)>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (/ x (- (* -1/6 (pow y 2)) 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* 1/6 (* x (pow y 2))))>
#<alt (+ (* -1 x) (* (pow y 2) (- (* -1/36 (* x (pow y 2))) (* -1/6 x))))>
#<alt (+ (* -1 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 (/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))>
#<alt (* -6 (/ x (pow y 2)))>
#<alt (/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))>
#<alt (/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))>
#<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)>

Calls

84 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(* (* y y) 1/36)
2.0ms	x	@	0	(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
1.0ms	y	@	inf	(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
1.0ms	x	@	inf	(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
1.0ms	y	@	0	(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))

rewrite1.0s (10.3%)

Memory

2.6MiB live, 846.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 700×	`accelerator-lowering-fma.f32`
10 700×	`accelerator-lowering-fma.f64`
4 958×	`-lowering-.f32`
4 958×	`-lowering-.f64`
4 004×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	139
1	181	119
2	1322	119
0	8823	111

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 1 304

Calls

Call 1

Inputs
(/ x (* (/ 1 (sin y)) y))
(* (/ 1 (sin y)) y)
(/ 1 (sin y))
(sin y)
(* x (* -1/6 (* y y)))
(* -1/6 (* y y))
(* y y)
(+ (* (+ (* y (* y 1/120)) -1/6) (* y (* y x))) x)
(+ (* y (* y 1/120)) -1/6)
(* y 1/120)
(* y (* y x))
(* (/ 1 y) (* y (* y y)))
(* x (+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1))
(+ (* (* (/ 1 y) (* y (* y y))) -1/6) 1)
(/ 1 y)
(* (+ (* (* y y) (* (* y y) 1/36)) -1) (/ x (+ (* y (* y -1/6)) -1)))
(+ (* (* y y) (* (* y y) 1/36)) -1)
(* (* y y) 1/36)
(* y (* y y))
(/ x (+ (* y (* y -1/6)) -1))
(* y -1/6)

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 (*.f64 x (sin.f64 y)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (/.f64 y (sin.f64 y)))) (neg.f64 (/.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) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y))))
(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 (neg.f64 (*.f64 x (sin.f64 y))) y))
(neg.f64 (/.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (sin.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) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) (/.f64 x y)))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x (sin.f64 y)))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y (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 (*.f64 x (sin.f64 y)) y)) #s(literal -1 binary64))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.f64 y)))
(/.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (sin.f64 y)))) (neg.f64 y))
(/.f64 (.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) (neg.f64 y))
(pow.f64 (/.f64 y (*.f64 x (sin.f64 y))) #s(literal -1 binary64))
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 x (sin.f64 y)) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sin.f64 y) (pow.f64 (/.f64 y x) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) y) (.f64 x (sin.f64 y)))
(.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 x (sin.f64 y)) y)))
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (neg.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (sin.f64 y)) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 #s(literal 1 binary64) 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 x y) (sin.f64 y))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 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)))
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(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #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))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (/.f64 x (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 y)) #s(literal -1 binary64))
(*.f64 y #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) y)

simplify550.0ms (5.4%)

Memory

-17.9MiB live, 864.0MiB allocated

Algorithm

1×	egg-herbie

Rules

18 400×	`accelerator-lowering-fma.f32`
18 400×	`accelerator-lowering-fma.f64`
6 288×	`-lowering-.f32`
6 288×	`-lowering-.f64`
1 886×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2412
1	364	2403
2	915	2355
3	2776	2337
4	6853	2337
0	8442	2172

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 336

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)
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (* x (pow y 2)))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (pow y 2))
(* -1/6 (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) (* 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)))))
(* 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))))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
(* -1 (* x (- (* -1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))) 1)))
-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)))))
(* 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)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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 (+ 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 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
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 (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
-1
(- (* 1/36 (pow y 4)) 1)
(- (* 1/36 (pow y 4)) 1)
(- (* 1/36 (pow y 4)) 1)
(* 1/36 (pow y 4))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* 1/36 (pow y 4))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(* 1/36 (pow y 2))
(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)
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(/ x (- (* -1/6 (pow y 2)) 1))
(* -1 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(+ (* -1 x) (* (pow y 2) (- (* -1/36 (* x (pow y 2))) (* -1/6 x))))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* 1/36 x))) (* -1/6 x))))
(* -6 (/ x (pow y 2)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(* -6 (/ x (pow y 2)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(* -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)

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)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* 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)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* 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)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* 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)
(/.f64 (*.f64 x (sin.f64 y)) y)
x
(+ x (* -1/6 (* x (pow y 2))))
(fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(fma.f64 (.f64 y y) (.f64 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 y 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 (*.f64 x (sin.f64 y)) y)
(/ (* 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)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* 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)
(/.f64 (*.f64 x (sin.f64 y)) y)
(/ (* x (sin y)) y)
(/.f64 (*.f64 x (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) (+ 1/6 (* 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 (.f64 y y) (fma.f64 y (*.f64 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))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* 1/6 (pow y 2))) y)
(/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #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 (.f64 y y) (fma.f64 y (*.f64 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 y (.f64 y #s(literal -1/6 binary64))) y)
(* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))
(fma.f64 (fma.f64 (.f64 y 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)
(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)
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
(* -1/6 (* x (pow y 2)))
(.f64 x (.f64 y (*.f64 y #s(literal -1/6 binary64))))
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(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ (* x (- (* 1/36 (pow y 4)) 1)) (- (* -1/6 (pow y 2)) 1))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 1/36 (pow y 4)) 1)
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(- (* 1/36 (pow y 4)) 1)
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(- (* 1/36 (pow y 4)) 1)
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* 1/36 (pow y 4))
(.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* (pow y 4) (- 1/36 (/ 1 (pow y 4))))
(fma.f64 (.f64 y (.f64 y (*.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 binary64))
(* 1/36 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/36 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))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/ x (- (* -1/6 (pow y 2)) 1))
(/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* 1/6 (* x (pow y 2))))
(.f64 x (fma.f64 y (.f64 y #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(+ (* -1 x) (* (pow y 2) (- (* -1/36 (* x (pow y 2))) (* -1/6 x))))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 (*.f64 y y) #s(literal -1/36 binary64) #s(literal 1/6 binary64))) (neg.f64 x))
(+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* 1/216 (* x (pow y 2))) (* 1/36 x))) (* -1/6 x))))
(fma.f64 y (.f64 y (fma.f64 (.f64 y y) (.f64 x (fma.f64 (.f64 y y) #s(literal 1/216 binary64) #s(literal -1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 x))
(* -6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 y y)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y))) (/.f64 (.f64 x #s(literal -216 binary64)) (.f64 y (.f64 y (.f64 y y))))) (.f64 y y))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 36 binary64) (.f64 y y)) (/.f64 #s(literal 1296 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (.f64 y (.f64 y (.f64 y y))))))) (*.f64 y y))
(* -6 (/ x (pow y 2)))
(.f64 x (/.f64 #s(literal -6 binary64) (.f64 y y)))
(/ (+ (* -6 x) (* 36 (/ x (pow y 2)))) (pow y 2))
(/.f64 (.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y)))) (*.f64 y y))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (* 36 (/ x (pow y 2))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal 36 binary64) (.f64 y y))) (/.f64 (.f64 x #s(literal -216 binary64)) (.f64 y (.f64 y (.f64 y y))))) (.f64 y y))
(/ (+ (* -216 (/ x (pow y 4))) (+ (* -6 x) (+ (* 36 (/ x (pow y 2))) (* 1296 (/ x (pow y 6)))))) (pow y 2))
(/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 36 binary64) (.f64 y y)) (/.f64 #s(literal 1296 binary64) (.f64 (.f64 y y) (.f64 y (.f64 y (.f64 y y)))))) (.f64 x (+.f64 #s(literal -6 binary64) (/.f64 #s(literal -216 binary64) (.f64 y (.f64 y (.f64 y y))))))) (*.f64 y y))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))
(* -1/6 y)
(*.f64 y #s(literal -1/6 binary64))

eval233.0ms (2.3%)

Memory: 18.2MiB live, 560.1MiB allocated
Compiler: Compiled 51 614 to 3 094 computations (94% saved)

prune372.0ms (3.7%)

Memory

-124.6MiB live, 654.5MiB allocated

Pruning

42 alts after pruning (32 fresh and 10 done)

	Pruned	Kept	Total
New	1 756	16	1 772
Fresh	9	16	25
Picked	3	2	5
Done	1	8	9
Total	1 769	42	1 811

Accuracy

100.0%

Counts

1 811 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.5%	(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
	56.4%	(fma.f64 (.f64 y (.f64 y 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)
	56.4%	(fma.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) x x)
	46.4%	(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (/.f64 y x))
	52.2%	(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
	3.2%	(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) y)
✓	84.0%	(/.f64 (*.f64 (sin.f64 y) x) y)
	46.9%	(/.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)))
	40.6%	(/.f64 (*.f64 y x) y)
	55.9%	(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
	88.2%	(/.f64 (sin.f64 y) (/.f64 y x))
	66.5%	(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
	66.5%	(/.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)))
	66.3%	(/.f64 x (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)))
✓	99.4%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	99.3%	(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
	66.2%	(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
	53.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
	29.6%	(.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal -1/6 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
	57.1%	(.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.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))))
	57.0%	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 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))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
	56.9%	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)))
	4.7%	(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (.f64 x (/.f64 #s(literal -6 binary64) (.f64 y y))))
	4.0%	(.f64 (/.f64 x y) (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
✓	87.7%	(*.f64 (/.f64 x y) (sin.f64 y))
	52.3%	(*.f64 (/.f64 x y) y)
	45.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
	46.0%	(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x y)) y)
	40.5%	(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))
	3.3%	(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
	3.3%	(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
	3.3%	(.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))
	3.3%	(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
	56.3%	(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
✓	56.4%	(.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)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	56.0%	(.f64 x (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))))
	56.6%	(.f64 x (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
✓	99.6%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) (sin.f64 y)))
✓	56.3%	(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
	3.2%	(.f64 x (.f64 (/.f64 #s(literal -1/6 binary64) y) (.f64 y (.f64 y y))))
✓	56.4%	x

Compiler

Compiled 1 501 to 576 computations (61.6% saved)

regimes113.0ms (1.1%)

Memory

1.8MiB live, 190.1MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) y)
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x)) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) x x)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (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 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
(.f64 x (.f64 (/.f64 #s(literal -1/6 binary64) y) (.f64 y (.f64 y y))))
(.f64 (/.f64 x y) (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x y)) y)
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #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)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (/.f64 y 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 (.f64 y 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 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 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 x (/.f64 #s(literal -6 binary64) (.f64 y y))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 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 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (.f64 (/.f64 y (neg.f64 x)) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal -1/6 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 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 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 x y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))
(*.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 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (sin.f64 y))))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 y)) y))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (sin.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)))

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

Calls

4 calls:

35.0ms	y
35.0ms	x
21.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
18.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

regimes69.0ms (0.7%)

Memory

13.5MiB live, 171.5MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
x
(.f64 x (.f64 #s(literal -1/6 binary64) (*.f64 y y)))
(.f64 (.f64 x (*.f64 y #s(literal -1/6 binary64))) y)
(.f64 (.f64 x (*.f64 y y)) #s(literal -1/6 binary64))
(.f64 (.f64 y y) (*.f64 x #s(literal -1/6 binary64)))
(.f64 (.f64 y (*.f64 y #s(literal -1/6 binary64))) x)
(.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) y)
(/.f64 (*.f64 y x) y)
(fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x)) x)
(fma.f64 x (.f64 #s(literal -1/6 binary64) (.f64 y y)) x)
(fma.f64 (.f64 x (.f64 y #s(literal -1/6 binary64))) y x)
(fma.f64 (.f64 x (.f64 y y)) #s(literal -1/6 binary64) x)
(fma.f64 (.f64 y y) (.f64 x #s(literal -1/6 binary64)) x)
(fma.f64 (.f64 y (.f64 y #s(literal -1/6 binary64))) x x)
(.f64 x (.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x (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 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y x)))
(fma.f64 (.f64 y y) (.f64 x (fma.f64 y (*.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(fma.f64 (fma.f64 y (.f64 y #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (.f64 y (*.f64 y x)) x)
(.f64 x (.f64 (/.f64 #s(literal -1/6 binary64) y) (.f64 y (.f64 y y))))
(.f64 (/.f64 x y) (.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y))))
(/.f64 (.f64 (.f64 x #s(literal -1/6 binary64)) (.f64 y (.f64 y y))) y)
(.f64 (.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 x y)) y)
(.f64 (/.f64 x y) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y #s(literal 1/6 binary64)) #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #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)))
(/.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (/.f64 y 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 (.f64 y 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 (/.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (*.f64 y y)) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 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 x (/.f64 #s(literal -6 binary64) (.f64 y y))))
(.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 x (fma.f64 (.f64 y (.f64 y (.f64 y y))) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 y (.f64 y (fma.f64 y (.f64 y #s(literal 7/360 binary64)) #s(literal 1/6 binary64)))))))
(.f64 (fma.f64 (.f64 (.f64 y y) #s(literal 1/6 binary64)) (.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))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 #s(literal -1/6 binary64) (*.f64 y y)) y))))
(.f64 x (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 y (.f64 y y))))) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(.f64 x (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (.f64 y #s(literal -1/6 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 #s(literal 1 binary64) (fma.f64 (.f64 y y) (.f64 y (.f64 y #s(literal 1/36 binary64))) #s(literal -1 binary64))) (fma.f64 x (.f64 y (.f64 y #s(literal -1/6 binary64))) x)))
(/.f64 (.f64 (fma.f64 y (.f64 #s(literal -1/6 binary64) (.f64 y y)) y) (fma.f64 y (.f64 (.f64 y y) #s(literal 1/6 binary64)) y)) (.f64 (/.f64 y (neg.f64 x)) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 (/.f64 #s(literal -1/6 binary64) y) (/.f64 #s(literal -1/6 binary64) y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(.f64 x (.f64 (/.f64 (fma.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (.f64 y (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64))) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) #s(literal 1/36 binary64) #s(literal -1/6 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 x (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (fma.f64 (.f64 y y) (fma.f64 y (.f64 y #s(literal 1/36 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 x y) (fma.f64 (.f64 (.f64 y y) (.f64 (.f64 y y) #s(literal 1/36 binary64))) (/.f64 (.f64 y y) (.f64 y (fma.f64 y (.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (.f64 y y) (.f64 y (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal -1 binary64)))))))

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

Calls

4 calls:

19.0ms	(/.f64 (sin.f64 y) y)
16.0ms	x
16.0ms	y
15.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
66.5%	1	`x`
66.5%	1	`y`
66.5%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
66.5%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes48.0ms (0.5%)

Memory

-12.1MiB live, 148.7MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))

Calls

4 calls:

12.0ms	y
11.0ms	x
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
10.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
66.5%	1	`x`
66.5%	1	`(/.f64 (sin.f64 y) y)`
66.5%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
66.5%	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes36.0ms (0.4%)

Memory

2.0MiB live, 94.6MiB allocated

Counts

28 → 1

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	x
8.0ms	(/.f64 (sin.f64 y) y)
8.0ms	y
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
66.3%	1	`(/.f64 (sin.f64 y) y)`
66.3%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
66.3%	1	`x`
66.3%	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes76.0ms (0.7%)

Memory

-19.2MiB live, 60.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

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

Calls

4 calls:

58.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
65.2%	2	`(/.f64 (sin.f64 y) y)`
64.5%	2	`x`
64.5%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
65.2%	2	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
65.2%	2	`y`
65.2%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes24.0ms (0.2%)

Memory

-17.9MiB live, 23.0MiB allocated

Accuracy

Total -34.3b remaining (-122.9%)

Threshold costs -34.3b (-122.9%)

Counts

7 → 1

Calls

Call 1

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

Outputs
x

Calls

4 calls:

15.0ms	x
3.0ms	y
3.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
56.4%	1	`y`
56.4%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch13.0ms (0.1%)

Memory

26.7MiB live, 26.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.010596707753008344	14.88332223928426

Samples

8.0ms

128×

valid

Compiler

Compiled 163 to 106 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sin: 3.0ms (57.9% of total)

ival-div: 1.0ms (19.3% of total)

ival-mult: 1.0ms (19.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0493373818438559	0.9999812850692084

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0.1%)

Memory

-20.6MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	83
1	51	83

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #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)))
(if (<=.f64 y #s(literal 5291729562160333/2251799813685248 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x)) x) (*.f64 (/.f64 x y) y))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 x y) y) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) (fma.f64 y (*.f64 y #s(literal 31/15120 binary64)) #s(literal 7/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 x (fma.f64 y (.f64 y (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #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)))
(if (<=.f64 y #s(literal 5291729562160333/2251799813685248 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 y x)) x) (*.f64 (/.f64 x y) y))
(if (<=.f64 y #s(literal 5291729562160333/2251799813685248 binary64)) (fma.f64 #s(literal -1/6 binary64) (.f64 y (.f64 x y)) x) (*.f64 y (/.f64 x y)))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 x y) y) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 3602879701896397/72057594037927936 binary64)) (.f64 y (/.f64 x y)) (.f64 x (fma.f64 y (*.f64 y #s(literal -1/6 binary64)) #s(literal 1 binary64))))
x

soundness995.0ms (9.9%)

Memory

17.8MiB live, 691.8MiB allocated

Rules

27 648×	`accelerator-lowering-fma.f32`
27 648×	`accelerator-lowering-fma.f64`
16 120×	`accelerator-lowering-fma.f32`
16 120×	`accelerator-lowering-fma.f64`
9 058×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	1702
1	272	1702
2	745	1636
3	2230	1622
4	4103	1622
5	7056	1622
0	8083	1517
0	5	12
1	16	12
2	69	12
3	331	12
0	1793	12
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	82	1444
1	242	1418
2	632	1406
3	1900	1400
4	6030	1400
0	8630	1310

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

Compiler

Compiled 217 to 123 computations (43.3% saved)

preprocess59.0ms (0.6%)

Memory

9.1MiB live, 164.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 250 to 126 computations (49.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	21	107
1	56	99
2	140	99
3	362	99
4	665	99
5	738	99
6	826	99
7	903	99
8	927	99
9	930	99
10	930	99
0	930	94

Iter	Nodes	Cost
0	21	107
1	56	99
2	140	99
3	362	99
4	665	99
5	738	99
6	826	99
7	903	99
8	927	99
9	930	99
10	930	99
0	930	94

analyze12.0ms (0.1%)

sample827.0ms (8.2%)

preprocess82.0ms (0.8%)

explain67.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize22.0ms (0.2%)

series6.0ms (0.1%)

rewrite87.0ms (0.9%)

simplify433.0ms (4.3%)

eval20.0ms (0.2%)

prune32.0ms (0.3%)

simplify34.0ms (0.3%)

localize90.0ms (0.9%)

series14.0ms (0.1%)

rewrite559.0ms (5.5%)

simplify829.0ms (8.2%)

eval116.0ms (1.2%)

prune91.0ms (0.9%)

simplify332.0ms (3.3%)

localize202.0ms (2%)

series80.0ms (0.8%)

rewrite551.0ms (5.5%)

simplify541.0ms (5.4%)

eval297.0ms (2.9%)

prune472.0ms (4.7%)

simplify423.0ms (4.2%)

localize212.0ms (2.1%)

series18.0ms (0.2%)

rewrite1.0s (10.3%)

simplify550.0ms (5.4%)

eval233.0ms (2.3%)

prune372.0ms (3.7%)

regimes113.0ms (1.1%)

regimes69.0ms (0.7%)

regimes48.0ms (0.5%)

regimes36.0ms (0.4%)

regimes76.0ms (0.7%)

regimes7.0ms (0.1%)

regimes24.0ms (0.2%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

soundness995.0ms (9.9%)

preprocess59.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	21	107
1	56	99
2	140	99
3	362	99
4	665	99
5	738	99
6	826	99
7	903	99
8	927	99
9	930	99
10	930	99
0	930	94