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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze20.0ms (0.3%)

Memory

-3.6MiB live, 36.1MiB 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 (16.8%)

Memory

-8.1MiB live, 1 313.3MiB allocated

Samples

705.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 453.0ms

ival-sin: 311.0ms (68.6% of total)

ival-div: 77.0ms (17% of total)

ival-mult: 54.0ms (11.9% of total)

ival-true: 7.0ms (1.5% of total)

ival-assert: 4.0ms (0.9% of total)

Bogosity

explain91.0ms (1.5%)

Memory

12.3MiB live, 86.2MiB 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

49.0ms

512×

valid

Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-sin: 10.0ms (55.7% of total)

ival-div: 4.0ms (22.3% of total)

ival-mult: 3.0ms (16.7% of total)

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

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

preprocess51.0ms (0.8%)

Memory

-19.6MiB live, 34.8MiB 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
▶	99.9%	(*.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

localize19.0ms (0.3%)

Memory

11.9MiB live, 11.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.05859375	(*.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: 5.0ms (58.2% of total)

ival-div: 2.0ms (23.3% of total)

ival-mult: 1.0ms (11.6% of total)

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

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

series6.0ms (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	y	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	y	@	-inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))
1.0ms	x	@	inf	((* x (/ (sin y) y)) (/ (sin y) y) (sin y))

simplify278.0ms (4.6%)

Memory

-12.4MiB live, 179.1MiB 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)

rewrite79.0ms (1.3%)

Memory

17.6MiB live, 53.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

eval16.0ms (0.3%)

Memory: 18.5MiB live, 18.5MiB allocated
Compiler: Compiled 1 933 to 449 computations (76.8% saved)

prune48.0ms (0.8%)

Memory

-19.9MiB live, 19.0MiB allocated

Pruning

12 alts after pruning (11 fresh and 1 done)

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

Accuracy

100.0%

Counts

167 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	87.9%	(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
	65.7%	(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))
	86.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
▶	88.1%	(*.f64 (/.f64 x y) (sin.f64 y))
▶	86.1%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
	58.1%	(.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))))
▶	58.2%	(.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))))
	58.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
▶	59.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 244 to 187 computations (23.4% saved)

simplify110.0ms (1.8%)

Memory

2.6MiB live, 48.9MiB 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)

localize129.0ms (2.1%)

Memory

-11.1MiB live, 105.3MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(neg.f64 x)
accuracy	0.10546875	(*.f64 (neg.f64 x) (sin.f64 y))
accuracy	8.88277795034394	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
accuracy	0.0	(/.f64 x y)
accuracy	0.0	(sin.f64 y)
accuracy	7.635922590029901	(*.f64 (/.f64 x y) (sin.f64 y))
accuracy	0.05859375	(.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	0.0625	(fma.f64 #s(literal 1/120 binary64) (*.f64 y y) #s(literal -1/6 binary64))
accuracy	0.06640625	(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	26.817006501998847	#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	0.05859375	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
accuracy	26.411521617114044	#s(approx (/ (sin y) y) #s(literal 1 binary64))
accuracy	0.0	(sin.f64 y)
accuracy	0.078125	(/.f64 x (/.f64 y (sin.f64 y)))
accuracy	0.11328125	(/.f64 y (sin.f64 y))

Samples

111.0ms

256×

valid

Compiler

Compiled 229 to 48 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 10.0ms (29.3% of total)

ival-div: 8.0ms (23.5% of total)

ival-sin: 6.0ms (17.6% of total)

const: 6.0ms (17.6% of total)

ival-add: 2.0ms (5.9% of total)

ival-neg: 1.0ms (2.9% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB 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
3.0ms	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))
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))

simplify310.0ms (5.2%)

Memory

-20.0MiB live, 96.6MiB 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))

rewrite272.0ms (4.5%)

Memory

23.3MiB live, 109.9MiB 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))

eval121.0ms (2%)

Memory: -8.9MiB live, 66.4MiB allocated
Compiler: Compiled 10 641 to 1 745 computations (83.6% saved)

prune45.0ms (0.8%)

Memory

-8.1MiB live, 29.8MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	513	4	517
Fresh	3	3	6
Picked	0	5	5
Done	0	1	1
Total	516	13	529

Accuracy

100.0%

Counts

529 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(/.f64 (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (.f64 x x))) x)
	86.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	87.6%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	69.9%	(/.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))))
▶	70.0%	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
✓	88.1%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	86.1%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
▶	58.1%	(.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))))
✓	58.2%	(.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))))
▶	58.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	59.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 235 to 172 computations (26.8% saved)

simplify16.0ms (0.3%)

Memory

11.0MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	232
0	53	232
1	86	232
2	130	232
3	255	232
4	497	232
5	683	232
6	690	232
7	691	232
0	691	232

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize196.0ms (3.3%)

Memory

-22.7MiB live, 99.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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))
accuracy	0.05859375	(.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))))
accuracy	0.078125	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	26.865140737485532	#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)))
accuracy	0.05859375	(fma.f64 #s(literal 7/360 binary64) (*.f64 y y) #s(literal 1/6 binary64))
accuracy	0.06640625	(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	0.078125	(/.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	26.613544626060605	#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	0.0	(*.f64 y y)
accuracy	0.078125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.10546875	(fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64))
accuracy	26.452081306946223	#s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (*.f64 y y) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.05859375	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
accuracy	0.109375	(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	26.81340550384184	#s(approx (/ (sin y) y) (fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)))
accuracy	0.0	(/.f64 y x)
accuracy	0.0	(sin.f64 y)
accuracy	7.933144050891009	(/.f64 (sin.f64 y) (/.f64 y x))

Samples

115.0ms

256×

valid

Compiler

Compiled 391 to 62 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-sin: 55.0ms (57% of total)

const: 14.0ms (14.5% of total)

ival-mult: 13.0ms (13.5% of total)

ival-div: 7.0ms (7.3% of total)

ival-add: 7.0ms (7.3% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

19 → 46

Calls

Call 1

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

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

Calls

6 calls:

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

simplify361.0ms (6%)

Memory

-0.1MiB live, 157.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	398
1	254	398
2	650	388
3	1853	382
4	3303	382
5	6012	382
0	8065	339

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 44

Calls

Call 1

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

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

rewrite403.0ms (6.7%)

Memory

-13.2MiB live, 237.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	202
0	53	202
1	206	202
2	1337	202
0	8408	202

Stop Event

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

Counts

19 → 492

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 y))) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 (sin.f64 y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (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 (neg.f64 (sin.f64 y)) x) (/.f64 #s(literal -1 binary64) y))
(.f64 (.f64 (sin.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) (sin.f64 y))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (sin.f64 y) (neg.f64 (pow.f64 x #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y)))))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 (sin.f64 y) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (sin.f64 y) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (sin.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 (sin.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (neg.f64 (sin.f64 y)) (neg.f64 (/.f64 x y)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (sin.f64 y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y x) (sin.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sin.f64 y)) x)) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 y) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(/.f64 (.f64 (sin.f64 y) x) (.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y))))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 (sin.f64 y)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (sin.f64 y) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 y x) (sin.f64 y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(neg.f64 (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 y)) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) (sin.f64 y))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) #s(literal 1 binary64))
(/.f64 (neg.f64 (sin.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 y) #s(literal -1 binary64)))
(/.f64 (sin.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 y)))
(sin.f64 y)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
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eval77.0ms (1.3%)

Memory: 21.8MiB live, 129.9MiB allocated
Compiler: Compiled 14 876 to 2 134 computations (85.7% saved)

prune35.0ms (0.6%)

Memory

-8.7MiB live, 40.7MiB allocated

Pruning

17 alts after pruning (9 fresh and 8 done)

	Pruned	Kept	Total
New	505	8	513
Fresh	1	1	2
Picked	3	2	5
Done	0	6	6
Total	509	17	526

Accuracy

100.0%

Counts

526 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	87.6%	(/.f64 (sin.f64 y) (/.f64 y x))
▶	87.5%	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
▶	69.7%	(/.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))))
▶	15.6%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	69.9%	(/.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))
✓	88.1%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	86.1%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	70.0%	(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	58.1%	(.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))))
✓	58.2%	(.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))))
	58.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))))
▶	58.1%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))
▶	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
✓	59.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 384 to 281 computations (26.8% saved)

simplify132.0ms (2.2%)

Memory

-2.4MiB live, 157.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal 1 binary64) (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)))
cost-diff	0	#s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))))
cost-diff	0	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))
cost-diff	0	#s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y)))
cost-diff	0	(fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 y y))
cost-diff	0	#s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
cost-diff	0	#s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
cost-diff	0	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 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	(neg.f64 y)
cost-diff	0	(sin.f64 y)
cost-diff	384	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
cost-diff	448	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	372
0	71	360
1	115	358
2	187	354
3	368	354
4	1260	354
5	3605	354
6	5221	354
7	6669	354
8	7694	354
0	8076	344

Stop Event

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

Calls

Call 1

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

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

localize128.0ms (2.1%)

Memory

7.5MiB live, 202.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05859375	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))
accuracy	0.078125	(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
accuracy	0.14255384296731416	(/.f64 #s(literal 1 binary64) (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)))
accuracy	26.865140737485532	#s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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)))))
accuracy	0.078125	(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
accuracy	0.109375	(.f64 #s(literal 7/360 binary64) (.f64 y y))
accuracy	26.613544626060605	#s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64)))
accuracy	35.22015148755011	#s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y)))
accuracy	0.078125	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
accuracy	0.23828125	(.f64 #s(literal 1/6 binary64) (.f64 y y))
accuracy	26.452081306946223	#s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))
accuracy	35.218442322863105	#s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))
accuracy	0.05859375	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
accuracy	0.23828125	(.f64 (.f64 y y) #s(literal -1/6 binary64))
accuracy	26.81340550384184	#s(approx (/ (sin y) y) #s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64))))
accuracy	35.79345106079058	#s(approx (+ (* (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))
accuracy	0.0	(sin.f64 y)
accuracy	0.0	(neg.f64 y)
accuracy	0.2265625	(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
accuracy	7.933144050891009	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))

Samples

103.0ms

256×

valid

Compiler

Compiled 599 to 86 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-add: 30.0ms (36% of total)

ival-mult: 18.0ms (21.6% of total)

const: 17.0ms (20.4% of total)

ival-div: 11.0ms (13.2% of total)

ival-sin: 6.0ms (7.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory

-14.2MiB live, 24.2MiB allocated

Counts

22 → 44

Calls

Call 1

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

Outputs
(/ y x)
(/ (* 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))))))
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 y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(* 1/6 (pow y 2))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* 7/360 (pow y 2))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(sin y)
(/ (sin y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ -5040 (pow y 6))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow y 2)))) (pow y 2))) 5040) (pow y 6))
(/ (- (* -1 (/ (+ 4656960 (* 43182720 (/ 1 (pow y 2)))) (pow y 4))) (+ 5040 (* 211680 (/ 1 (pow y 2))))) (pow y 6))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* 1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1))) (* x (/ (sin y) y)) (/ (sin y) y) (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1)) (* 7/360 (* y y)) (+ (* -1/5040 (* y y)) 1/120))
3.0ms	y	@	-inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* 1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1))) (* x (/ (sin y) y)) (/ (sin y) y) (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1)) (* 7/360 (* y y)) (+ (* -1/5040 (* y y)) 1/120))
1.0ms	y	@	0	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* 1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1))) (* x (/ (sin y) y)) (/ (sin y) y) (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1)) (* 7/360 (* y y)) (+ (* -1/5040 (* y y)) 1/120))
1.0ms	x	@	0	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* 1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1))) (* x (/ (sin y) y)) (/ (sin y) y) (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1)) (* 7/360 (* y y)) (+ (* -1/5040 (* y y)) 1/120))
1.0ms	x	@	-inf	((* (neg y) (/ -1 x)) (/ (sin y) (* (neg y) (/ -1 x))) (sin y) (neg y) (* x (/ (sin y) y)) (/ (sin y) y) (+ (* (* y y) -1/6) 1) (* (* y y) -1/6) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* 1/6 (* y y)) 1) (* 1/6 (* y y)) (/ x (/ y (sin y))) (/ y (sin y)) (+ (* (+ (* 7/360 (* y y)) 1/6) (* y y)) 1) (+ (* 7/360 (* y y)) 1/6) (/ 1 (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1))) (* x (/ (sin y) y)) (/ (sin y) y) (/ 1 (+ (* (+ (* (+ (* -1/5040 (* y y)) 1/120) (* y y)) -1/6) (* y y)) 1)) (* 7/360 (* y y)) (+ (* -1/5040 (* y y)) 1/120))

simplify151.0ms (2.5%)

Memory

3.1MiB live, 164.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	406
1	309	406
2	791	393
3	2191	387
4	4053	387
5	6386	387
0	8094	350

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

Inputs
(/ y x)
(/ (* 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))))))
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 y)
1
(+ 1 (* -1/6 (pow y 2)))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(* -1/6 (pow y 2))
(+ 1 (* 1/6 (pow y 2)))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(* 1/6 (pow y 2))
1/6
(+ 1/6 (* 7/360 (pow y 2)))
(* 7/360 (pow y 2))
1/120
(+ 1/120 (* -1/5040 (pow y 2)))
(sin y)
(/ (sin y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(/ y (sin y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(* 7/360 (pow y 4))
(* (pow y 4) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* (pow y 4) (+ 7/360 (+ (* 1/6 (/ 1 (pow y 2))) (/ 1 (pow y 4)))))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(* -1/5040 (pow y 6))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(/ -5040 (pow y 6))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow y 2)))) (pow y 2))) 5040) (pow y 6))
(/ (- (* -1 (/ (+ 4656960 (* 43182720 (/ 1 (pow y 2)))) (pow y 4))) (+ 5040 (* 211680 (/ 1 (pow y 2))))) (pow y 6))
(* -1/5040 (pow y 2))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))

Outputs
(/ y x)
(/.f64 y x)
(/ (* x (sin y)) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
x
(+ x (* -1/6 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)
(+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))
(.f64 x (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64)))
(+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))
(fma.f64 (.f64 x (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64))) (.f64 y y) x)
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 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal -1/6 binary64))
(+ 1 (* 1/6 (pow y 2)))
(fma.f64 (*.f64 y y) #s(literal 1/6 binary64) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* 7/360 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64)) (.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (+ 1/6 (* (pow y 2) (+ 7/360 (* 31/15120 (pow y 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 y y) #s(literal 7/360 binary64)) (.f64 y y) #s(literal 1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* 1/6 (pow y 2))
(.f64 (.f64 y y) #s(literal 1/6 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))
(* 7/360 (pow y 2))
(.f64 (.f64 y y) #s(literal 7/360 binary64))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow y 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(sin y)
(sin.f64 y)
(/ (sin y) y)
(/.f64 (sin.f64 y) y)
(* (pow y 2) (- (/ 1 (pow y 2)) 1/6))
(fma.f64 (*.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))
(/ y (sin y))
(/.f64 y (sin.f64 y))
(* (pow y 2) (+ 1/6 (/ 1 (pow y 2))))
(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 (*.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))
(* (pow y 2) (+ 7/360 (* 1/6 (/ 1 (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 7/360 binary64) #s(literal 1/6 binary64))
(* -1/5040 (pow y 6))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/5040 binary64)))
(* (pow y 6) (- (* 1/120 (/ 1 (pow y 2))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(fma.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64)))
(* (pow y 6) (- (+ (* 1/120 (/ 1 (pow y 2))) (/ 1 (pow y 6))) (+ 1/5040 (/ 1/6 (pow y 4)))))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))
(/ -5040 (pow y 6))
(/.f64 #s(literal -5040 binary64) (pow.f64 y #s(literal 6 binary64)))
(* -1 (/ (+ 5040 (* 211680 (/ 1 (pow y 2)))) (pow y 6)))
(/.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (*.f64 y y))) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ 211680 (* 4656960 (/ 1 (pow y 2)))) (pow y 2))) 5040) (pow y 6))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -211680 binary64) (/.f64 #s(literal 4656960 binary64) (*.f64 y y))) y) y) #s(literal 5040 binary64)) (pow.f64 y #s(literal 6 binary64)))
(/ (- (* -1 (/ (+ 4656960 (* 43182720 (/ 1 (pow y 2)))) (pow y 4))) (+ 5040 (* 211680 (/ 1 (pow y 2))))) (pow y 6))
(/.f64 (-.f64 (-.f64 #s(literal -5040 binary64) (/.f64 #s(literal 211680 binary64) (.f64 y y))) (/.f64 (-.f64 (/.f64 #s(literal 43182720 binary64) (.f64 y y)) #s(literal -4656960 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))
(* -1/5040 (pow y 2))
(.f64 #s(literal -1/5040 binary64) (.f64 y y))
(* (pow y 2) (- (* 1/120 (/ 1 (pow y 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))

rewrite155.0ms (2.6%)

Memory

25.9MiB live, 221.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	311
0	71	299
1	248	297
2	1500	293
0	8356	283

Stop Event

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

Counts

22 → 374

Calls

Call 1

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

Outputs
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) y)
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x))) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) x) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)))))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 y y))) (*.f64 x y))
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(.f64 #s(literal 7/360 binary64) (.f64 y y))
(.f64 (.f64 y y) #s(literal 7/360 binary64))
(.f64 y (.f64 #s(literal 7/360 binary64) y))
(.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))))
(.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (pow.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)))) (.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))))) (+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (fma.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/604800 binary64)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 4 binary64)) #s(literal 1/207360000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal 1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 4 binary64)) (+.f64 #s(literal 1/207360000 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/365783040000 binary64)))) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/16390160963076096000000 binary64) #s(literal -1/2985984000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal -1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/2098335016107155751174144000000000 binary64) (pow.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/5159780352000000000 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 1/16390160963076096000000 binary64) (-.f64 #s(literal 1/2985984000000 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/221225582592000000 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64))) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) (neg.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/604800 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 y y) #s(literal -1/604800 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y))) (-.f64 #s(literal 1/14400 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/14400 binary64) (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (.f64 (*.f64 y y) #s(literal -1/604800 binary64)))) (fma.f64 #s(literal -1/128024064000 binary64) (pow.f64 y #s(literal 6 binary64)) #s(literal 1/1728000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64)))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) y) y #s(literal 1/120 binary64))
(fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal 1/120 binary64))
(fma.f64 (*.f64 y y) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 y (*.f64 #s(literal -1/5040 binary64) y) #s(literal 1/120 binary64))
(-.f64 (/.f64 #s(literal 1/14400 binary64) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y)))) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (-.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 y y)))))
(-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/25401600 binary64)) (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal -1/120 binary64))) (neg.f64 (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal -1/5040 binary64) (*.f64 y y) #s(literal -1/120 binary64)))))
(+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 y y)) #s(literal 1/120 binary64))
(+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 y y)))

eval100.0ms (1.7%)

Memory: -12.3MiB live, 108.4MiB allocated
Compiler: Compiled 13 677 to 1 724 computations (87.4% saved)

prune19.0ms (0.3%)

Memory

8.9MiB live, 46.5MiB allocated

Pruning

19 alts after pruning (6 fresh and 13 done)

	Pruned	Kept	Total
New	408	5	413
Fresh	3	1	4
Picked	0	5	5
Done	0	8	8
Total	411	19	430

Accuracy

100.0%

Counts

430 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.3%	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	87.6%	(/.f64 (sin.f64 y) (/.f64 y x))
✓	87.5%	(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
✓	99.9%	(/.f64 x (/.f64 y (sin.f64 y)))
✓	69.7%	(/.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))))
	15.6%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))
✓	15.6%	(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
	15.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) x))
✓	88.1%	(*.f64 (/.f64 x y) (sin.f64 y))
✓	86.1%	(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
	15.6%	(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) #s(approx (+ ( 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
✓	99.9%	(*.f64 x (/.f64 (sin.f64 y) y))
✓	58.1%	(.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))))
✓	58.2%	(.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))))
	58.2%	(.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 y y) #s(literal -1/6 binary64) #s(literal 1 binary64))))
✓	58.1%	(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))
✓	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 y y) #s(literal -1/6 binary64)))))
	2.9%	(.f64 x #s(approx (/ (sin y) y) #s(approx (+ ( (* y y) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) y) y))))
✓	59.0%	(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))

Compiler

Compiled 704 to 330 computations (53.1% saved)

regimes39.0ms (0.6%)

Memory

-16.7MiB live, 62.5MiB allocated

Counts

29 → 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)))))
(.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 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 #s(literal 1/6 binary64) 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 (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) #s(approx (+ ( 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) (sin.f64 y)))
(/.f64 (sin.f64 y) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (sin.f64 y)) x))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (sin.f64 y)))
(/.f64 (.f64 (/.f64 (neg.f64 (sin.f64 y)) y) (neg.f64 (.f64 x x))) x)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 (sin.f64 y) #s(literal 2 binary64)))) (sin.f64 y))

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

Calls

4 calls:

12.0ms	(/.f64 (sin.f64 y) y)
10.0ms	x
8.0ms	y
7.0ms	(*.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)

regimes42.0ms (0.7%)

Memory

2.9MiB live, 42.0MiB allocated

Counts

21 → 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)))))
(.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 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 #s(literal 1/6 binary64) 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 (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) #s(approx (+ ( 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))))
(*.f64 x (/.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:

24.0ms	y
6.0ms	x
6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.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)

regimes25.0ms (0.4%)

Memory

-6.2MiB live, 33.0MiB allocated

Counts

18 → 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)))))
(.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 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 #s(literal 1/6 binary64) 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 (/ (sin y) y) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 y y) #s(literal -1/6 binary64)) (*.f64 y y) #s(literal 1 binary64))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) #s(approx (+ ( 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))))
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ y (sin y)) (fma.f64 #s(literal 1/6 binary64) (.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))) x))
(/.f64 x #s(approx (/ y (sin y)) (fma.f64 #s(approx (+ (* 7/360 (* y y)) 1/6) (.f64 #s(literal 7/360 binary64) (.f64 y y))) (*.f64 y y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 x #s(approx (/ (sin y) y) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 y y) #s(literal 1/120 binary64)) (.f64 y y) #s(literal -1/6 binary64)) (.f64 y y) #s(literal 1 binary64))))
(.f64 x #s(approx (/ (sin y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))

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:

9.0ms	x
5.0ms	y
5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

Results

Accuracy	Segments	Branch
70.0%	1	`x`
70.0%	1	`y`
70.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
70.0%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes11.0ms (0.2%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

8 → 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)))))
(.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 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y)))))
(/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 #s(literal 1/6 binary64) y) y))))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
70.1%	2	`y`
69.9%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
59.0%	1	`x`
70.1%	2	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 12 to 13 computations (-8.3% saved)

regimes17.0ms (0.3%)

Memory

-29.1MiB live, 18.4MiB allocated

Accuracy

Total -36.1b remaining (-137.8%)

Threshold costs -36.1b (-137.8%)

Counts

6 → 1

Calls

Call 1

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

3 calls:

7.0ms	(/.f64 (sin.f64 y) y)
7.0ms	y
2.0ms	(*.f64 x (/.f64 (sin.f64 y) y))

Results

Accuracy	Segments	Branch
59.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
59.0%	1	`y`
59.0%	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.040641251408497e-8	0.9353637097920368

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify26.0ms (0.4%)

Memory

2.8MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	73
1	41	73

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 (/.f64 (sin.f64 y) y) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (.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) #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 (/.f64 (sin.f64 y) y) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 #s(literal 1/6 binary64) (.f64 y y))))) (.f64 x #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64)))))
(if (<=.f64 (/.f64 (sin.f64 y) y) #s(literal 944473296573929/9444732965739290427392 binary64)) (/.f64 x #s(approx (/ y (sin y)) #s(approx (+ (* 1/6 (* y y)) 1) (.f64 (.f64 y y) #s(literal 1/6 binary64))))) (.f64 #s(approx (/ (sin y) y) (fma.f64 (.f64 #s(literal -1/6 binary64) y) y #s(literal 1 binary64))) x))
(*.f64 x #s(approx (/ (sin y) y) #s(literal 1 binary64)))
(*.f64 #s(approx (/ (sin y) y) #s(literal 1 binary64)) x)

soundness1.4s (22.9%)

Memory

-8.7MiB live, 628.9MiB allocated

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
0	5	12
0	8	12
1	19	12
2	72	12
3	336	12
0	1798	12
0	30	202
0	53	202
1	206	202
2	1337	202
0	8408	202
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	94	398
1	254	398
2	650	388
3	1853	382
4	3303	382
5	6012	382
0	8065	339

Stop Event

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

Compiler

Compiled 149 to 93 computations (37.6% saved)

preprocess50.0ms (0.8%)

Memory

10.3MiB live, 86.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 230 to 140 computations (39.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	30	232
0	53	232
1	86	232
2	130	232
3	255	232
4	497	232
5	683	232
6	690	232
7	691	232
0	691	232

Iter	Nodes	Cost
0	30	232
0	53	232
1	86	232
2	130	232
3	255	232
4	497	232
5	683	232
6	690	232
7	691	232
0	691	232

start0.0ms (0%)

analyze20.0ms (0.3%)

sample1.0s (16.8%)

explain91.0ms (1.5%)

preprocess51.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize19.0ms (0.3%)

series6.0ms (0.1%)

simplify278.0ms (4.6%)

rewrite79.0ms (1.3%)

eval16.0ms (0.3%)

prune48.0ms (0.8%)

simplify110.0ms (1.8%)

localize129.0ms (2.1%)

series13.0ms (0.2%)

simplify310.0ms (5.2%)

rewrite272.0ms (4.5%)

eval121.0ms (2%)

prune45.0ms (0.8%)

simplify16.0ms (0.3%)

localize196.0ms (3.3%)

series11.0ms (0.2%)

simplify361.0ms (6%)

rewrite403.0ms (6.7%)

eval77.0ms (1.3%)

prune35.0ms (0.6%)

simplify132.0ms (2.2%)

localize128.0ms (2.1%)

series16.0ms (0.3%)

simplify151.0ms (2.5%)

rewrite155.0ms (2.6%)

eval100.0ms (1.7%)

prune19.0ms (0.3%)

regimes39.0ms (0.6%)

regimes42.0ms (0.7%)

regimes25.0ms (0.4%)

regimes11.0ms (0.2%)

regimes17.0ms (0.3%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness1.4s (22.9%)

preprocess50.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	30	232
0	53	232
1	86	232
2	130	232
3	255	232
4	497	232
5	683	232
6	690	232
7	691	232
0	691	232