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

start0.0ms (0%)

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

analyze87.0ms (5%)

Memory

-2.3MiB live, 187.9MiB allocated; 8ms 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)

sample912.0ms (52.3%)

Memory

4.0MiB live, 1 870.5MiB allocated; 89ms collecting garbage

Samples

643.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-sin: 212.0ms (52.6% of total)

ival-div: 128.0ms (31.8% of total)

ival-mult: 57.0ms (14.2% of total)

adjust: 3.0ms (0.7% of total)

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

Bogosity

explain82.0ms (4.7%)

Memory

-0.7MiB live, 194.3MiB allocated; 3ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
5	-	-	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
0	-	-	`(sin.f64 y)`
0	-	-	`y`
0	-	-	`(*.f64 x (/.f64 (sin.f64 y) y))`
0	-	-	`(/.f64 (sin.f64 y) y)`
0	-	-	`z`
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	5	0
↳	`(*.f64 x (/.f64 (sin.f64 y) y))`	underflow	26

Confusion

	Predicted +	Predicted -
+	5	0
-	0	251

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	0
-	0	0	251

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	251
1	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 58 to 25 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 12.0ms (50.6% of total)

ival-div: 7.0ms (29.5% of total)

ival-mult: 3.0ms (12.6% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess71.0ms (4%)

Memory

6.0MiB live, 53.5MiB allocated; 2ms 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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 8 to 7 computations (12.5% saved)

series22.0ms (1.3%)

Memory

-0.3MiB live, 48.1MiB allocated; 2ms 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
7.0ms	y	@	inf	((/ (* 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	@	0	((/ (* 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)

rewrite125.0ms (7.2%)

Memory

17.9MiB live, 209.9MiB allocated; 6ms 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)

eval7.0ms (0.4%)

Memory: -31.1MiB live, 16.5MiB allocated; 1ms collecting garbage
Compiler: Compiled 756 to 181 computations (76.1% saved)

prune22.0ms (1.3%)

Memory

2.1MiB live, 49.8MiB allocated; 1ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Accuracy

100.0%

Counts

62 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.1%	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
▶	90.7%	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
▶	82.2%	(/.f64 (.f64 (sin.f64 y) x) (.f64 z y))
✓	98.0%	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
▶	96.1%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 40 to 35 computations (12.5% saved)

series18.0ms (1.1%)

Memory

-0.6MiB live, 47.0MiB allocated; 1ms collecting garbage

Counts

14 → 50

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
(/.f64 (.f64 (sin.f64 y) x) (.f64 z y))
(*.f64 (sin.f64 y) x)
(*.f64 z y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
(/.f64 (*.f64 (sin.f64 y) 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) x) (* z y)) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (* (sin y) x) #s(hole binary64 (* x (sin y))))
#s(approx (/ (/ (* (sin y) x) y) z) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (/ (* x (sin y)) y)))
#s(approx (/ (/ (* (sin y) x) z) y) #s(hole binary64 (/ (* x (sin y)) (* y z))))
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (/ (* x (sin y)) z)))
#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) x) (* z y)) #s(hole binary64 (/ x z)))
#s(approx (/ (* (sin y) x) (* z y)) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (* (sin y) x) (* z y)) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (* (sin y) x) (* z y)) #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) x) #s(hole binary64 (* x y)))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* -1/6 (* x (pow y 2)))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2)))))))))
#s(approx (* (sin y) x) #s(hole binary64 (* y (+ x (* (pow y 2) (+ (* -1/6 x) (* (pow y 2) (+ (* -1/5040 (* x (pow y 2))) (* 1/120 x)))))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (/ (/ (* (sin y) x) y) z) #s(hole binary64 (/ x z)))
#s(approx (/ (/ (* (sin y) x) y) z) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (/ (* (sin y) x) y) z) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (/ (* (sin y) x) 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 (/ (* (sin y) x) y) #s(hole binary64 x))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* -1/6 (* x (pow y 2))))))
#s(approx (/ (* (sin y) x) y) #s(hole binary64 (+ x (* (pow y 2) (+ (* -1/6 x) (* 1/120 (* x (pow y 2))))))))
#s(approx (/ (* (sin y) x) 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) x) z) y) #s(hole binary64 (/ x z)))
#s(approx (/ (/ (* (sin y) x) z) y) #s(hole binary64 (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z))))
#s(approx (/ (/ (* (sin y) x) z) y) #s(hole binary64 (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z))))
#s(approx (/ (/ (* (sin y) x) z) y) #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) x) z) #s(hole binary64 (/ (* x y) z)))
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* -1/6 (/ (* x (pow y 2)) z)) (/ x z)))))
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* (pow y 2) (+ (* -1/6 (/ x z)) (* 1/120 (/ (* x (pow y 2)) z)))) (/ x z)))))
#s(approx (/ (* (sin y) x) z) #s(hole binary64 (* y (+ (* (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 (/ (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
3.0ms	x	@	-inf	((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) y (/ x z) x z (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (/ (/ (* (sin y) x) z) y) (/ (* (sin y) x) z))
2.0ms	z	@	0	((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) y (/ x z) x z (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (/ (/ (* (sin y) x) z) y) (/ (* (sin y) x) z))
2.0ms	x	@	inf	((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) y (/ x z) x z (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (/ (/ (* (sin y) x) z) y) (/ (* (sin y) x) z))
2.0ms	z	@	-inf	((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) y (/ x z) x z (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (/ (/ (* (sin y) x) z) y) (/ (* (sin y) x) z))
2.0ms	y	@	-inf	((* (/ (sin y) y) (/ x z)) (/ (sin y) y) (sin y) y (/ x z) x z (/ (* (sin y) x) (* z y)) (* (sin y) x) (* z y) (/ (/ (* (sin y) x) y) z) (/ (* (sin y) x) y) (/ (/ (* (sin y) x) z) y) (/ (* (sin y) x) z))

rewrite125.0ms (7.2%)

Memory

-7.8MiB live, 183.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1021
0	157	1021
1	596	991
0	4725	941

Stop Event

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

Counts

64 → 192

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

eval13.0ms (0.8%)

Memory: 39.3MiB live, 39.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 985 to 324 computations (83.7% saved)

prune97.0ms (5.5%)

Memory

-24.9MiB live, 216.5MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	154	5	159

Accuracy

100.0%

Counts

159 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	86.1%	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) z) y)
✓	90.7%	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
✓	82.2%	(/.f64 (.f64 (sin.f64 y) x) (.f64 z y))
✓	98.0%	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
✓	96.1%	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Compiler

Compiled 80 to 51 computations (36.3% saved)

regimes12.0ms (0.7%)

Memory

-14.0MiB live, 33.7MiB allocated; 1ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
98.0%	1	`(/.f64 (sin.f64 y) y)`
98.0%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
98.0%	1	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
99.8%	2	`x`
98.0%	1	`y`
98.0%	1	`z`

Compiler

Compiled 21 to 27 computations (-28.6% saved)

regimes6.0ms (0.4%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

6 calls:

1.0ms	z
1.0ms	x
1.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y
1.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Results

Accuracy	Segments	Branch
96.1%	1	`y`
96.1%	1	`z`
96.1%	1	`(/.f64 (sin.f64 y) y)`
96.1%	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
96.1%	1	`(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)`
96.1%	1	`x`

Compiler

Compiled 21 to 27 computations (-28.6% saved)

bsearch12.0ms (0.7%)

Memory

-21.3MiB live, 26.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.926001262171974e+37	1.0239179049705567e+39

Samples

7.0ms

96×

valid

Compiler

Compiled 107 to 109 computations (-1.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sin: 2.0ms (45.9% of total)

ival-div: 1.0ms (23% of total)

ival-mult: 1.0ms (23% of total)

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

adjust: 0.0ms (0% of total)

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

simplify9.0ms (0.5%)

Memory

23.2MiB live, 23.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 124999999999999992463645796450397323264 binary64)) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Inputs

(if (<=.f64 x #s(literal 124999999999999992463645796450397323264 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

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

Outputs
(if (<=.f64 x #s(literal 124999999999999992463645796450397323264 binary64)) (.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (.f64 x (/.f64 (sin.f64 y) y)) z))
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))

Outputs

(if (<=.f64 x #s(literal 124999999999999992463645796450397323264 binary64)) (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z)) (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z))

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

derivations15.0ms (0.8%)

Memory

-27.0MiB live, 20.7MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 28 to 12 computations (57.1% saved)

preprocess109.0ms (6.2%)

Memory

3.2MiB live, 200.3MiB allocated; 22ms collecting garbage

Remove

(negabs z)

(abs y)

Compiler

Compiled 232 to 134 computations (42.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze87.0ms (5%)

sample912.0ms (52.3%)

explain82.0ms (4.7%)

preprocess71.0ms (4%)

eval0.0ms (0%)

prune0.0ms (0%)

series22.0ms (1.3%)

rewrite125.0ms (7.2%)

eval7.0ms (0.4%)

prune22.0ms (1.3%)

series18.0ms (1.1%)

rewrite125.0ms (7.2%)

eval13.0ms (0.8%)

prune97.0ms (5.5%)

regimes12.0ms (0.7%)

regimes6.0ms (0.4%)

bsearch12.0ms (0.7%)

simplify9.0ms (0.5%)

derivations15.0ms (0.8%)

preprocess109.0ms (6.2%)

end0.0ms (0%)

Profiling