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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze105.0ms (1.5%)

Memory

-20.2MiB live, 24.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.0s (14.3%)

Memory

13.2MiB live, 1 180.6MiB allocated

Samples

703.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 505.0ms

ival-sin: 321.0ms (63.6% of total)

ival-div: 98.0ms (19.4% of total)

ival-mult: 77.0ms (15.3% of total)

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

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

Bogosity

explain211.0ms (2.9%)

Memory

-13.5MiB live, 105.2MiB 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

33.0ms

512×

valid

Compiler

Compiled 66 to 29 computations (56.1% saved)

Precisions

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

ival-sin: 12.0ms (60.2% of total)

ival-div: 4.0ms (20.1% of total)

ival-mult: 3.0ms (15% of total)

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

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

preprocess85.0ms (1.2%)

Memory

-13.6MiB live, 23.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.3%)

Memory

12.1MiB live, 12.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0.08203125	(*.f64 x (/.f64 (sin.f64 y) y))
accuracy	0.10546875	(/.f64 (sin.f64 y) y)

Samples

15.0ms

256×

valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sin: 6.0ms (64.9% of total)

ival-div: 2.0ms (21.6% of total)

ival-mult: 2.0ms (21.6% of total)

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

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

series7.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 15

Calls

Call 1

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

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

Calls

6 calls:

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

simplify261.0ms (3.6%)

Memory

-1.9MiB live, 235.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	150
1	118	150
2	310	140
3	908	138
4	1439	138
5	2228	138
6	3353	138
7	3636	138
8	4364	138
9	6809	138
0	8480	120

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 13

Calls

Call 1

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

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

rewrite70.0ms (1%)

Memory

-13.8MiB live, 70.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 153

Calls

Call 1

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

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

eval18.0ms (0.3%)

Memory: 9.7MiB live, 47.3MiB allocated
Compiler: Compiled 1 933 to 449 computations (76.8% saved)

prune11.0ms (0.1%)

Memory

-9.7MiB live, 27.6MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	156	10	166
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	11	167

Accuracy

100.0%

Counts

167 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
	51.5%	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
▶	87.8%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	89.7%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.7%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
▶	50.8%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	50.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	51.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 224 to 169 computations (24.6% saved)

simplify102.0ms (1.4%)

Memory

20.2MiB live, 67.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	64	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
cost-diff	-384	(*.f64 (/.f64 x y) (sin.f64 y))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 x y)
cost-diff	0	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	#s(approx (/ (sin y) y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	0	(/.f64 x (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	126
0	40	123
1	64	123
2	115	123
3	274	123
4	477	123
5	678	123
6	987	123
7	1923	123
8	2916	123
9	3740	123
10	3899	123
11	4008	123
12	4588	123
13	4588	123
14	4588	123
15	4594	123
0	4594	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize324.0ms (4.5%)

Memory

2.3MiB live, 117.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(sin.f64 y)
accuracy	0	(neg.f64 x)
accuracy	0.109375	(*.f64 (neg.f64 x) (sin.f64 y))
accuracy	6.572760994690848	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
accuracy	0	(/.f64 x y)
accuracy	0	(sin.f64 y)
accuracy	7.830566631953619	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.04296875	(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.07421875	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.08203125	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	31.58942830600692	#s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0.08203125	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	31.21028163401821	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0	(sin.f64 y)
accuracy	0.078125	(/.f64 x (/.f64 y (sin.f64 y)))
accuracy	0.08984375	(/.f64 y (sin.f64 y))

Samples

305.0ms

256×

valid

Compiler

Compiled 229 to 48 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 244.0ms (83.9% of total)

ival-sin: 25.0ms (8.6% of total)

ival-div: 12.0ms (4.1% of total)

const: 6.0ms (2.1% of total)

ival-add: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory

-19.3MiB live, 22.8MiB allocated

Counts

15 → 34

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x))
2.0ms	y	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x))
2.0ms	y	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x))
2.0ms	x	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x))
1.0ms	x	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (+ (* 1/120 (* y y)) -1/6) (* y y)) 1) (+ (* 1/120 (* y y)) -1/6) (/ x y) (* (/ x y) (sin y)) (* (/ -1 y) (* (neg x) (sin y))) (/ -1 y) (* (neg x) (sin y)) (neg x))

simplify244.0ms (3.4%)

Memory

5.3MiB live, 199.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	319
1	274	316
2	767	302
3	2331	296
4	4177	296
5	6709	296
0	8080	263

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 32

Calls

Call 1

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

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

rewrite168.0ms (2.3%)

Memory

15.9MiB live, 208.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	40	102
1	117	102
2	602	102
3	5215	102
0	8421	102

Stop Event

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

Counts

15 → 616

Calls

Call 1

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

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

eval73.0ms (1%)

Memory: 13.6MiB live, 95.3MiB allocated
Compiler: Compiled 10 641 to 1 745 computations (83.6% saved)

prune16.0ms (0.2%)

Memory

2.8MiB live, 39.6MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	514	3	517
Fresh	0	5	5
Picked	0	5	5
Done	0	1	1
Total	514	14	528

Accuracy

100.0%

Counts

528 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	64.6%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
	64.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
▶	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
	51.5%	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
✓	87.8%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	55.5%	(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sin.f64 y) (neg.f64 (*.f64 x x))) x))
✓	89.7%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.7%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.8%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
▶	50.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	51.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 265 to 196 computations (26% saved)

simplify80.0ms (1.1%)

Memory

3.9MiB live, 78.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (sin.f64 y) (neg.f64 (.f64 x x)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	448	(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sin.f64 y) (neg.f64 (*.f64 x x))) x))
cost-diff	1024	(/.f64 (.f64 (sin.f64 y) (neg.f64 (.f64 x x))) x)
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	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
cost-diff	0	(sin.f64 y)
cost-diff	0	(/.f64 y (sin.f64 y))
cost-diff	0	(/.f64 (/.f64 y (sin.f64 y)) x)
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	177
0	52	174
1	89	174
2	171	164
3	508	164
4	2157	164
5	4975	164
6	7555	164
0	8029	164

Stop Event

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

Calls

Call 1

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

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

localize154.0ms (2.1%)

Memory

-41.0MiB live, 211.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 (*.f64 x x))
accuracy	4.781320557830975	(.f64 (sin.f64 y) (neg.f64 (.f64 x x)))
accuracy	6.572760994690848	(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sin.f64 y) (neg.f64 (*.f64 x x))) x))
accuracy	23.123833019138495	(/.f64 (.f64 (sin.f64 y) (neg.f64 (.f64 x x))) x)
accuracy	0	(sin.f64 y)
accuracy	0.109375	(*.f64 (sin.f64 y) x)
accuracy	6.436042244690848	(/.f64 (*.f64 (sin.f64 y) x) y)
accuracy	0.05078125	(fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.078125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
accuracy	31.18462607966718	#s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64)))
accuracy	0	(*.f64 y y)
accuracy	0.08203125	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	0.0859375	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	31.64310922232379	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0	(sin.f64 y)
accuracy	0.078125	(/.f64 (/.f64 y (sin.f64 y)) x)
accuracy	0.08984375	(/.f64 y (sin.f64 y))
accuracy	0.9684793741595839	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))

Samples

76.0ms

256×

valid

Compiler

Compiled 322 to 61 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 15.0ms (29.2% of total)

ival-div: 12.0ms (23.4% of total)

const: 9.0ms (17.5% of total)

ival-sin: 7.0ms (13.6% of total)

ival-add: 6.0ms (11.7% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory

34.0MiB live, 34.0MiB allocated

Counts

19 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	((/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (sin y) (neg (* x x))) x) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (* (sin y) (neg (* x x))) (neg (* x x)))
3.0ms	y	@	inf	((/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (sin y) (neg (* x x))) x) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (* (sin y) (neg (* x x))) (neg (* x x)))
2.0ms	x	@	-inf	((/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (sin y) (neg (* x x))) x) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (* (sin y) (neg (* x x))) (neg (* x x)))
2.0ms	x	@	0	((/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (sin y) (neg (* x x))) x) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (* (sin y) (neg (* x x))) (neg (* x x)))
2.0ms	x	@	inf	((/ 1 (/ (/ y (sin y)) x)) (/ (/ y (sin y)) x) (/ y (sin y)) (sin y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* y y) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ (* (sin y) x) y) (* (sin y) x) (/ (* (sin y) (neg (* x x))) x) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (* (sin y) (neg (* x x))) (neg (* x x)))

simplify205.0ms (2.8%)

Memory

-21.5MiB live, 209.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	554
1	451	548
2	1319	514
3	2477	514
4	4481	510
5	7750	510
0	8295	458

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 49

Calls

Call 1

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

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

rewrite508.0ms (7.1%)

Memory

14.7MiB live, 220.0MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	150
0	52	141
1	174	141
2	1003	137
0	8449	137

Stop Event

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

Counts

19 → 1 175

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (sin.f64 y))) (.f64 (neg.f64 x) x))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) (.f64 (*.f64 x (sin.f64 y)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (sin.f64 y))
(.f64 (.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (sin.f64 y))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) (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 #s(literal -1 binary64) y) (neg.f64 x)) (sin.f64 y))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))) (.f64 (neg.f64 x) (.f64 x (sin.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 (neg.f64 x) (sin.f64 y)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(.f64 (/.f64 (neg.f64 (sin.f64 y)) x) (/.f64 (.f64 (neg.f64 x) x) y))
(.f64 (/.f64 (.f64 x (sin.f64 y)) x) (/.f64 x y))
(.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 (*.f64 x x) y) (neg.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(.f64 (/.f64 (.f64 (*.f64 x (sin.f64 y)) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 (/.f64 (sin.f64 y) x) y))
(.f64 (/.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) y) (neg.f64 x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 (neg.f64 (sin.f64 y)) x))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 (/.f64 (sin.f64 y) x) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) x) y) (/.f64 (sin.f64 y) (neg.f64 x)))
(.f64 (/.f64 (.f64 (neg.f64 x) (.f64 x (sin.f64 y))) #s(literal -1 binary64)) (pow.f64 (.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) y))
(.f64 (/.f64 (sin.f64 y) x) (/.f64 (.f64 x x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 x) y) (/.f64 (.f64 x (sin.f64 y)) (neg.f64 x)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (sin.f64 y) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 x) y) (.f64 (neg.f64 (sin.f64 y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (sin.f64 y)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sin.f64 y))) x)))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (.f64 (neg.f64 x) (*.f64 x (sin.f64 y))))
(.f64 (/.f64 (.f64 x x) y) (/.f64 (sin.f64 y) x))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (.f64 x x) (.f64 (neg.f64 y) x)))
(.f64 (.f64 (sin.f64 y) #s(literal -1 binary64)) (.f64 (.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(.f64 (.f64 (/.f64 (neg.f64 x) y) (sin.f64 y)) #s(literal -1 binary64))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(.f64 (.f64 (/.f64 (*.f64 x x) y) (neg.f64 (sin.f64 y))) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 (*.f64 x x) y) (neg.f64 (sin.f64 y))) (/.f64 #s(literal -1 binary64) x))
(.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 (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 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 y))) x)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) (.f64 x (sin.f64 y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1 binary64)) (.f64 (.f64 x (sin.f64 y)) x))
(.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sin.f64 y))) x)))
(.f64 (/.f64 #s(literal -1 binary64) x) (.f64 (/.f64 (*.f64 x x) y) (neg.f64 (sin.f64 y))))
(.f64 (/.f64 x y) (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 (*.f64 (/.f64 (sin.f64 y) y) x) x) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 x (sin.f64 y)) #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal -1 binary64)) (.f64 x (sin.f64 y)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (sin.f64 y))) x)))
(.f64 (pow.f64 x #s(literal -1 binary64)) (.f64 (*.f64 (/.f64 (sin.f64 y) y) x) x))
(.f64 (.f64 (/.f64 (sin.f64 y) y) x) #s(literal 1 binary64))
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eval178.0ms (2.5%)

Memory: -13.0MiB live, 187.4MiB allocated
Compiler: Compiled 19 280 to 3 046 computations (84.2% saved)

prune65.0ms (0.9%)

Memory

27.2MiB live, 64.9MiB allocated

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	925	11	936
Fresh	1	2	3
Picked	4	1	5
Done	0	6	6
Total	930	20	950

Accuracy

100.0%

Counts

950 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.9%	(/.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) x) y)
	55.9%	(/.f64 (.f64 (.f64 x x) (/.f64 (sin.f64 y) x)) y)
✓	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	41.6%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
▶	64.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	64.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
▶	51.5%	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
✓	87.8%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	89.7%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
▶	40.5%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.7%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.8%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	50.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
	50.6%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
▶	2.7%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	51.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.6%	#s(approx (/ 1 (/ (/ y (sin y)) x)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))

Compiler

Compiled 493 to 353 computations (28.4% saved)

simplify142.0ms (2%)

Memory

-9.4MiB live, 81.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 y)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sin.f64 y))
cost-diff	1024	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)
cost-diff	0	#s(approx (/ (* (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	192	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	#s(approx (* (sin y) x) (*.f64 x y))
cost-diff	0	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
cost-diff	0	(.f64 (.f64 y y) #s(literal -1/6 binary64))
cost-diff	0	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
cost-diff	0	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
cost-diff	0	#s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	273
0	68	273
1	121	272
2	266	256
3	905	256
4	3379	256
5	6149	256
0	8172	249

Stop Event

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

Calls

Call 1

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

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

localize478.0ms (6.7%)

Memory

-25.1MiB live, 130.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.109375	(*.f64 (neg.f64 x) (sin.f64 y))
accuracy	14.637661412617605	(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (.f64 y y)))
accuracy	15.737124123325305	(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
accuracy	0.34765625	(*.f64 #s(literal 1/6 binary64) y)
accuracy	4.899604870772644	(.f64 (fma.f64 (.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x)
accuracy	6.331124100369828	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
accuracy	31.522804813828813	#s(approx (/ (* (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y))
accuracy	0	(*.f64 x y)
accuracy	6.194405350369828	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
accuracy	31.2535015353529	#s(approx (* (sin y) x) (*.f64 x y))
accuracy	0.08203125	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
accuracy	0.1875	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	31.126898751922113	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
accuracy	31.64310922232379	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
accuracy	0.05078125	(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
accuracy	0.078125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
accuracy	31.124783573694415	#s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64))
accuracy	31.18462607966718	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))

Samples

318.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 454 to 88 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 22.0ms (35% of total)

const: 15.0ms (23.8% of total)

ival-div: 11.0ms (17.5% of total)

ival-sin: 7.0ms (11.1% of total)

ival-add: 5.0ms (7.9% of total)

ival-neg: 3.0ms (4.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series53.0ms (0.7%)

Memory

11.5MiB live, 49.2MiB allocated

Counts

22 → 54

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
36.0ms	y	@	0	((/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (/ (* (sin y) (neg (* x x))) x) (* (* (+ (* (* 1/6 y) y) -1) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (sin y) (* (+ (* (* 1/6 y) y) -1) x) (* 1/6 y) (/ (* (neg x) (sin y)) (neg (* y y))))
4.0ms	x	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (/ (* (sin y) (neg (* x x))) x) (* (* (+ (* (* 1/6 y) y) -1) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (sin y) (* (+ (* (* 1/6 y) y) -1) x) (* 1/6 y) (/ (* (neg x) (sin y)) (neg (* y y))))
3.0ms	y	@	-inf	((/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (/ (* (sin y) (neg (* x x))) x) (* (* (+ (* (* 1/6 y) y) -1) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (sin y) (* (+ (* (* 1/6 y) y) -1) x) (* 1/6 y) (/ (* (neg x) (sin y)) (neg (* y y))))
3.0ms	y	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (/ (* (sin y) (neg (* x x))) x) (* (* (+ (* (* 1/6 y) y) -1) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (sin y) (* (+ (* (* 1/6 y) y) -1) x) (* 1/6 y) (/ (* (neg x) (sin y)) (neg (* y y))))
3.0ms	x	@	inf	((/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ (* (sin y) x) y) (* (sin y) x) (* x y) (* (/ -1 y) (/ (* (sin y) (neg (* x x))) x)) (/ -1 y) (/ (* (sin y) (neg (* x x))) x) (* (* (+ (* (* 1/6 y) y) -1) x) y) (* (/ (* (neg x) (sin y)) (neg (* y y))) y) (* (neg x) (sin y)) (neg x) (sin y) (* (+ (* (* 1/6 y) y) -1) x) (* 1/6 y) (/ (* (neg x) (sin y)) (neg (* y y))))

simplify423.0ms (5.9%)

Memory

-1.2MiB live, 120.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	536
1	373	528
2	1083	506
3	3248	494
4	7028	492
0	8186	443

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 52

Calls

Call 1

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

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

rewrite206.0ms (2.9%)

Memory

26.4MiB live, 133.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	239
0	68	239
1	211	234
2	1193	222
0	8735	212

Stop Event

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

Counts

22 → 700

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 (pow.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(.f64 x (pow.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))))
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(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sin.f64 y)) (.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (neg.f64 y) y)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (neg.f64 (sin.f64 y)) y)) (*.f64 y x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (sin.f64 y) #s(literal -1 binary64))) (.f64 x (*.f64 y y)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) (/.f64 (sin.f64 y) y)) (*.f64 (neg.f64 y) x))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 x (/.f64 (.f64 (neg.f64 y) y) (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x)) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 (/.f64 x y) y) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x y) (/.f64 y (sin.f64 y)))
(/.f64 (.f64 (sin.f64 y) x) (.f64 y y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) x) (.f64 (.f64 y y) x))
(/.f64 (.f64 (.f64 (sin.f64 y) x) x) (.f64 x (.f64 y y)))
(/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (.f64 (neg.f64 y) y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (/.f64 y (sin.f64 y))))
(/.f64 (neg.f64 x) (*.f64 (/.f64 y (sin.f64 y)) (neg.f64 y)))
(/.f64 (neg.f64 x) (/.f64 (*.f64 (neg.f64 y) y) (sin.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) x) (neg.f64 x)) (.f64 (.f64 (neg.f64 y) y) x))
(/.f64 (.f64 (.f64 (sin.f64 y) x) (neg.f64 x)) (.f64 x (.f64 (neg.f64 y) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 y (sin.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (/.f64 (sin.f64 y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y (sin.f64 y))))
(/.f64 x (*.f64 (neg.f64 y) (/.f64 (neg.f64 y) (sin.f64 y))))
(/.f64 x (*.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 (sin.f64 y))))
(fma.f64 (.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(fma.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) (.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 y y)) (.f64 (/.f64 (/.f64 x y) y) (neg.f64 (sin.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (neg.f64 y) y)) (.f64 (/.f64 (/.f64 x y) y) (neg.f64 (sin.f64 y))))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 x y) y) (neg.f64 (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) (/.f64 y (sin.f64 y)))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(+.f64 (.f64 (.f64 (neg.f64 (sin.f64 y)) (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 x y) y) (sin.f64 y)))

eval200.0ms (2.8%)

Memory: -24.2MiB live, 135.8MiB allocated
Compiler: Compiled 16 664 to 2 451 computations (85.3% saved)

prune68.0ms (0.9%)

Memory

8.9MiB live, 65.8MiB allocated

Pruning

29 alts after pruning (18 fresh and 11 done)

	Pruned	Kept	Total
New	733	13	746
Fresh	3	5	8
Picked	1	4	5
Done	0	7	7
Total	737	29	766

Accuracy

100.0%

Counts

766 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.9%	(/.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) x) y)
	52.9%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
	26.3%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
	54.3%	(/.f64 (.f64 (.f64 (sin.f64 y) x) y) (*.f64 y y))
	40.2%	(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
	55.9%	(/.f64 (.f64 (.f64 x x) (/.f64 (sin.f64 y) x)) y)
✓	89.9%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	41.6%	(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
	64.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
	64.3%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 (.f64 y y) #s(literal 7/360 binary64))) (*.f64 y y) #s(literal 1 binary64))))
✓	64.7%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
✓	87.8%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	89.7%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	40.5%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 x)) y)))
✓	40.5%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
	2.7%	(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 #s(approx ( (+ (* (* 1/6 y) y) -1) x) (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) y)))
	64.7%	(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
	38.6%	(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))) y)
	50.2%	(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
✓	99.8%	(*.f64 x (/.f64 (sin.f64 y) y))
	50.7%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
✓	50.8%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
	50.6%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
	50.6%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
✓	2.7%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
	2.7%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
✓	51.6%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
	50.6%	#s(approx (/ 1 (/ (/ y (sin y)) x)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))

Compiler

Compiled 1 344 to 543 computations (59.6% saved)

regimes105.0ms (1.5%)

Memory

-21.7MiB live, 88.1MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ 1 (/ (/ y (sin y)) x)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))) y)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 (.f64 y y) #s(literal 7/360 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 #s(approx ( (+ (* (* 1/6 y) y) -1) x) (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 x)) y)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #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 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) x) y) (*.f64 y y))
(.f64 (/.f64 (.f64 (neg.f64 x) (sin.f64 y)) (neg.f64 (*.f64 y y))) y)
(/.f64 (.f64 (.f64 x x) (/.f64 (sin.f64 y) x)) y)
(/.f64 (/.f64 (.f64 (.f64 x (sin.f64 y)) x) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (.f64 (sin.f64 y) (neg.f64 (*.f64 x x))) x))

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

Calls

4 calls:

42.0ms	(/.f64 (sin.f64 y) y)
16.0ms	y
11.0ms	x
11.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.9%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes61.0ms (0.8%)

Memory

-1.1MiB live, 82.7MiB allocated

Counts

30 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ 1 (/ (/ y (sin y)) x)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))) y)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 (.f64 y y) #s(literal 7/360 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 #s(approx ( (+ (* (* 1/6 y) y) -1) x) (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 x)) y)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #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 (sin.f64 y) x) y)

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

Calls

4 calls:

21.0ms	x
20.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms	y
8.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes88.0ms (1.2%)

Memory

2.9MiB live, 40.7MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
#s(approx (/ 1 (/ (/ y (sin y)) x)) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/6 binary64) x))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y)
(/.f64 #s(approx (* (sin y) x) (*.f64 x y)) y)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (.f64 #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) y) y #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (fma.f64 (*.f64 #s(literal -1/6 binary64) y) x (/.f64 x y))) y)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 (.f64 y y) #s(literal 7/360 binary64))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 y y) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 #s(approx ( (+ (* (* 1/6 y) y) -1) x) (.f64 (.f64 (*.f64 y y) #s(literal 1/6 binary64)) x)) y)))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) y) y #s(literal -1 binary64)) x) y)))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 y y) #s(literal 1 binary64))))))
(.f64 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (/ ( (sin y) (neg (* x x))) x) (.f64 (fma.f64 (.f64 y x) (*.f64 #s(literal 1/6 binary64) y) (neg.f64 x)) y)))
(/.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 1 binary64)) (.f64 x (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) x)) (.f64 (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ (* 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ y (sin y)) (fma.f64 (.f64 y y) #s(approx (+ ( 7/360 (* y y)) 1/6) #s(literal 1/6 binary64)) #s(literal 1 binary64))))))

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

Calls

4 calls:

63.0ms	x
8.0ms	y
8.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
8.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
64.7%	1	`x`
64.7%	1	`y`
64.7%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
64.7%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes14.0ms (0.2%)

Memory

20.0MiB live, 20.0MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.1%	2	`x`
62.2%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
62.4%	2	`(/.f64 (sin.f64 y) y)`
62.5%	2	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes25.0ms (0.3%)

Memory

-16.9MiB live, 20.9MiB allocated

Accuracy

Total -31.5b remaining (-101.6%)

Threshold costs -31.5b (-101.6%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
51.6%	1	`x`
51.6%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
51.6%	1	`(/.f64 (sin.f64 y) y)`
51.6%	1	`y`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

bsearch12.0ms (0.2%)

Memory

19.0MiB live, 19.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	10247.364522499316	57367.33143480479

Samples

7.0ms

96×

valid

Compiler

Compiled 183 to 148 computations (19.1% saved)

Precisions

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

ival-sin: 4.0ms (78.3% of total)

ival-div: 1.0ms (19.6% of total)

ival-mult: 1.0ms (19.6% of total)

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

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

simplify34.0ms (0.5%)

Memory

12.1MiB live, 54.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	66
1	42	66

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 20500 binary64)) (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Outputs
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 20500 binary64)) (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))) (.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(if (<=.f64 y #s(literal 20500 binary64)) (.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x) (.f64 #s(approx (/ ( (neg x) (sin y)) (neg (* y y))) (/.f64 x y)) y))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness958.0ms (13.3%)

Memory

-22.0MiB live, 530.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	536
1	373	528
2	1083	506
3	3248	494
4	7028	492
0	8186	443
0	30	150
0	52	141
1	174	141
2	1003	137
0	8449	137
0	43	150
1	118	150
2	310	140
3	908	138
4	1439	138
5	2228	138
6	3353	138
7	3636	138
8	4364	138
9	6809	138
0	8480	120
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	96	319
1	274	316
2	767	302
3	2331	296
4	4177	296
5	6709	296
0	8080	263

Stop Event

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

Compiler

Compiled 133 to 85 computations (36.1% saved)

preprocess349.0ms (4.9%)

Memory

26.3MiB live, 148.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 216 to 138 computations (36.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze105.0ms (1.5%)

sample1.0s (14.3%)

explain211.0ms (2.9%)

preprocess85.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.3%)

series7.0ms (0.1%)

simplify261.0ms (3.6%)

rewrite70.0ms (1%)

eval18.0ms (0.3%)

prune11.0ms (0.1%)

simplify102.0ms (1.4%)

localize324.0ms (4.5%)

series20.0ms (0.3%)

simplify244.0ms (3.4%)

rewrite168.0ms (2.3%)

eval73.0ms (1%)

prune16.0ms (0.2%)

simplify80.0ms (1.1%)

localize154.0ms (2.1%)

series17.0ms (0.2%)

simplify205.0ms (2.8%)

rewrite508.0ms (7.1%)

eval178.0ms (2.5%)

prune65.0ms (0.9%)

simplify142.0ms (2%)

localize478.0ms (6.7%)

series53.0ms (0.7%)

simplify423.0ms (5.9%)

rewrite206.0ms (2.9%)

eval200.0ms (2.8%)

prune68.0ms (0.9%)

regimes105.0ms (1.5%)

regimes61.0ms (0.8%)

regimes88.0ms (1.2%)

regimes14.0ms (0.2%)

regimes25.0ms (0.3%)

bsearch12.0ms (0.2%)

simplify34.0ms (0.5%)

soundness958.0ms (13.3%)

preprocess349.0ms (4.9%)

end0.0ms (0%)

Profiling