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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze103.0ms (4.5%)

Memory

-12.8MiB live, 133.0MiB allocated; 46ms collecting garbage

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
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
82%	81.9%	17.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample996.0ms (43.2%)

Memory

43.1MiB live, 1 039.4MiB allocated; 172ms collecting garbage

Samples

674.0ms

8 256×

valid

Precisions

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

ival-sin: 265.0ms (58.5% of total)

ival-div: 126.0ms (27.8% of total)

ival-mult: 57.0ms (12.6% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain106.0ms (4.6%)

Memory

-0.2MiB live, 92.7MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
9	-	1	(-6.003585199110006e-72 4.616803057889602e+248 -3.7980890537604776e-239)	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0	-	0	-	`(sin.f64 y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
0	-	0	-	`(/.f64 (sin.f64 y) y)`
0	-	0	-	`z`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`	u/n	8	0
↳	`(*.f64 x (/.f64 (sin.f64 y) y))`	underflow	34

Confusion

	Predicted +	Predicted -
+	8	1
-	0	247

Precision

1.0

Recall

0.8888888888888888

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	8	0	1
-	0	0	247

Precision?

1.0

Recall?

0.8888888888888888

Freqs

test

number	freq
0	248
1	8

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-sin: 12.0ms (53% of total)

ival-div: 7.0ms (30.9% of total)

ival-mult: 3.0ms (13.3% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess118.0ms (5.1%)

Memory

-4.6MiB live, 92.3MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	83
1	74	83
2	184	83
3	411	83
4	874	83
5	1623	83
6	2402	83
7	4432	83
8	7983	83
0	7	8
0	11	8
1	16	8
2	24	8
3	34	8
4	46	8
5	48	8
0	48	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

(negabs z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

series25.0ms (1.1%)

Memory

-5.8MiB live, 38.0MiB allocated; 11ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Outputs
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (/ x z)))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y z)
3.0ms	y	@	-inf	((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y z)
3.0ms	x	@	-inf	((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y z)
2.0ms	x	@	inf	((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y z)
1.0ms	z	@	-inf	((/ (* x (/ (sin y) y)) z) (* x (/ (sin y) y)) x (/ (sin y) y) (sin y) y z)

rewrite148.0ms (6.4%)

Memory

2.5MiB live, 187.6MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	382
0	97	382
1	474	376
0	4216	356

Stop Event

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

Counts

30 → 59

Calls

Call 1

Inputs
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
(*.f64 x (/.f64 (sin.f64 y) y))
x
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
z
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (/ x z)))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (* x (/ (sin y) y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 x))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* x (/ (sin y) y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

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

eval6.0ms (0.2%)

Memory: 8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 756 to 181 computations (76.1% saved)

prune37.0ms (1.6%)

Memory

-23.2MiB live, 23.5MiB allocated; 4ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	4	62

Accuracy

100.0%

Counts

62 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.0%	(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
	84.6%	(/.f64 (*.f64 x (/.f64 (sin.f64 y) z)) y)
	91.8%	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
▶	96.9%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 32 to 28 computations (12.5% saved)

series10.0ms (0.4%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Counts

7 → 19

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

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

rewrite106.0ms (4.6%)

Memory

4.9MiB live, 97.0MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	293
0	75	293
1	345	287
0	2931	273

Stop Event

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

Counts

26 → 58

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
(/.f64 (sin.f64 y) y)
(sin.f64 y)
y
(/.f64 x z)
x
z
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (/ x z)))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (* (/ (sin y) y) (/ x z)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (/ (sin y) y) #s(hole binary64 1))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* -1/6 (pow y 2)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6)))))
#s(approx (/ (sin y) y) #s(hole binary64 (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (sin y) y) #s(hole binary64 (/ (sin y) y)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

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

eval5.0ms (0.2%)

Memory: 11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 709 to 166 computations (76.6% saved)

prune23.0ms (1%)

Memory

-3.1MiB live, 40.3MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	59	5	64

Accuracy

100.0%

Counts

64 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))
	87.7%	(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
	90.0%	(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
▶	91.8%	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	96.9%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 44 to 39 computations (11.4% saved)

series12.0ms (0.5%)

Memory

-24.4MiB live, 21.6MiB allocated; 4ms collecting garbage

Counts

7 → 23

Calls

Call 1

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

Outputs
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (/ x z)))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (/ 1 z)))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z)))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (/ (sin y) (* y z))))
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) y z x)
1.0ms	y	@	-inf	((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) y z x)
1.0ms	y	@	inf	((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) y z x)
1.0ms	z	@	0	((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) y z x)
1.0ms	z	@	inf	((* (/ (/ (sin y) z) y) x) (/ (/ (sin y) z) y) (/ (sin y) z) (sin y) y z x)

rewrite201.0ms (8.7%)

Memory

28.1MiB live, 134.4MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	428
0	103	416
1	494	398
0	4363	374

Stop Event

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

Counts

30 → 64

Calls

Call 1

Inputs
(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
(/.f64 (/.f64 (sin.f64 y) z) y)
(/.f64 (sin.f64 y) z)
(sin.f64 y)
y
z
x
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (/ x z)))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (* (/ (/ (sin y) z) y) x) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (/ 1 z)))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z))))
#s(approx (/ (sin y) z) #s(hole binary64 (/ y z)))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* -1/6 (/ (pow y 2) z)) (/ 1 z)))))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* 1/120 (/ (pow y 2) z)) (* 1/6 (/ 1 z)))) (/ 1 z)))))
#s(approx (/ (sin y) z) #s(hole binary64 (* y (+ (* (pow y 2) (- (* (pow y 2) (+ (* -1/5040 (/ (pow y 2) z)) (* 1/120 (/ 1 z)))) (* 1/6 (/ 1 z)))) (/ 1 z)))))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx y #s(hole binary64 y))
#s(approx (/ (/ (sin y) z) y) #s(hole binary64 (/ (sin y) (* y z))))
#s(approx (/ (sin y) z) #s(hole binary64 (/ (sin y) z)))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

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

eval14.0ms (0.6%)

Memory: -36.4MiB live, 9.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 826 to 201 computations (75.7% saved)

prune24.0ms (1%)

Memory

39.0MiB live, 39.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	66	5	71

Accuracy

100.0%

Counts

71 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))
	87.7%	(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
▶	90.0%	(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
✓	91.8%	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	96.9%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 44 to 39 computations (11.4% saved)

series14.0ms (0.6%)

Memory

-24.8MiB live, 19.3MiB allocated; 6ms collecting garbage

Counts

7 → 19

Calls

Call 1

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

Outputs
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (/ x z)))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) x y (sin y) z)
1.0ms	x	@	inf	((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) x y (sin y) z)
1.0ms	y	@	-inf	((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) x y (sin y) z)
1.0ms	x	@	0	((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) x y (sin y) z)
1.0ms	z	@	-inf	((/ (* (/ x y) (sin y)) z) (* (/ x y) (sin y)) (/ x y) x y (sin y) z)

rewrite129.0ms (5.6%)

Memory

18.5MiB live, 156.6MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	319
0	91	319
1	466	313
0	4205	297

Stop Event

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

Counts

26 → 57

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x y)
x
y
(sin.f64 y)
z
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (/ x z)))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (* (/ x y) (sin y)) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* (pow y 2) (+ (* -1/5040 (/ (* x (pow y 2)) z)) (* 1/120 (/ x z)))))) (/ x z))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 x))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (* (/ x y) (sin y)) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x))))))))
#s(approx y #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 y))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* -1/6 (pow y 2))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* 1/120 (pow y 2)) 1/6))))))
#s(approx (sin y) #s(hole binary64 (* y (+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1/120 (* -1/5040 (pow y 2)))) 1/6))))))
#s(approx (sin y) #s(hole binary64 (sin y)))
#s(approx z #s(hole binary64 z))

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

eval5.0ms (0.2%)

Memory: 11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 701 to 166 computations (76.3% saved)

prune26.0ms (1.1%)

Memory

-7.8MiB live, 37.8MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Accuracy

100.0%

Counts

64 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (neg.f64 x)) (neg.f64 z))
	87.7%	(/.f64 (*.f64 (/.f64 x z) (neg.f64 (sin.f64 y))) (neg.f64 y))
✓	90.0%	(/.f64 (*.f64 (/.f64 x y) (sin.f64 y)) z)
✓	91.8%	(*.f64 (/.f64 (/.f64 (sin.f64 y) z) y) x)
✓	96.9%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 104 to 64 computations (38.5% saved)

regimes21.0ms (0.9%)

Memory

-22.2MiB live, 35.4MiB allocated; 5ms collecting garbage

Accuracy

Total -14.8b remaining (-16383.8%)

Threshold costs -14.8b (-16383.8%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

9.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms	z
2.0ms	x
2.0ms	(/.f64 (sin.f64 y) y)
2.0ms	y

Results

Accuracy	Segments	Branch
99.0%	2	`(/.f64 (sin.f64 y) y)`
99.1%	2	`(*.f64 x (/.f64 (sin.f64 y) y))`
99.1%	2	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
99.9%	2	`x`
96.9%	1	`y`
99.8%	2	`z`

Compiler

Compiled 21 to 27 computations (-28.6% saved)

bsearch6.0ms (0.2%)

Memory

8.8MiB live, 8.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	7.072101412159932e+22	2.817977950413186e+26

Samples

3.0ms

48×

valid

Compiler

Compiled 59 to 61 computations (-3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-div: 1.0ms (49.5% of total)

ival-sin: 1.0ms (49.5% of total)

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

adjust: 0.0ms (0% of total)

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

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

simplify9.0ms (0.4%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 5000000000000000452984832 binary64)) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))

Outputs
(if (<=.f64 x #s(literal 5000000000000000452984832 binary64)) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))

derivations16.0ms (0.7%)

Memory

-36.3MiB live, 10.5MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 20 to 12 computations (40% saved)

preprocess144.0ms (6.3%)

Memory

9.1MiB live, 100.6MiB allocated; 15ms collecting garbage

Remove

(negabs z)

(abs y)

Compiler

Compiled 288 to 168 computations (41.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze103.0ms (4.5%)

sample996.0ms (43.2%)

explain106.0ms (4.6%)

preprocess118.0ms (5.1%)

eval0.0ms (0%)

prune0.0ms (0%)

series25.0ms (1.1%)

rewrite148.0ms (6.4%)

eval6.0ms (0.2%)

prune37.0ms (1.6%)

series10.0ms (0.4%)

rewrite106.0ms (4.6%)

eval5.0ms (0.2%)

prune23.0ms (1%)

series12.0ms (0.5%)

rewrite201.0ms (8.7%)

eval14.0ms (0.6%)

prune24.0ms (1%)

series14.0ms (0.6%)

rewrite129.0ms (5.6%)

eval5.0ms (0.2%)

prune26.0ms (1.1%)

regimes21.0ms (0.9%)

bsearch6.0ms (0.2%)

simplify9.0ms (0.4%)

derivations16.0ms (0.7%)

preprocess144.0ms (6.3%)

end0.0ms (0%)

Profiling