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

analyze90.0ms (3.9%)

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 10 to 7 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-sin: 75.0ms (93.5% of total)

ival-mult: 3.0ms (3.7% of total)

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

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

const: 0.0ms (0% of total)

sample1.4s (60.7%)

Results

517.0ms	4190×	0	valid
550.0ms	4066×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 567.0ms

ival-sin: 365.0ms (64.4% of total)

ival-div: 75.0ms (13.2% of total)

ival-mult: 60.0ms (10.6% of total)

ival-sinh: 54.0ms (9.5% of total)

const: 8.0ms (1.4% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess110.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

823×	`fma-define`
674×	`fma-neg`
324×	`div-sub`
286×	`associate-/r*`
273×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	70	218
2	181	218
3	600	218
4	2122	218
5	4615	218
6	7150	218

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

explain89.0ms (3.9%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(sin.f64 x)`
-	-	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
-	-	`(/.f64 (sinh.f64 y) y)`
-	-	`y`
-	-	`(sinh.f64 y)`

Results

33.0ms	278×	256	infinite
28.0ms	234×	256	valid

Compiler

Compiled 49 to 20 computations (59.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 15.0ms (53.9% of total)

ival-sinh: 5.0ms (18% of total)

ival-div: 4.0ms (14.4% of total)

ival-mult: 4.0ms (14.4% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize41.0ms (1.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sin.f64 x)

Results

16.0ms	139×	256	infinite
15.0ms	117×	256	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 8.0ms (60.6% of total)

ival-div: 2.0ms (15.2% of total)

ival-mult: 2.0ms (15.2% of total)

ival-sinh: 2.0ms (15.2% of total)

const: 0.0ms (0% of total)

series1.0ms (0.1%)

Counts

1 → 4

Calls

Call 1

Inputs
#<alt (sin.f64 x)>

Outputs
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sin x)
0.0ms	x	@	-inf	(sin x)
0.0ms	x	@	inf	(sin x)

rewrite342.0ms (15%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`log1p-expm1-u`
809×	`expm1-log1p-u`
194×	`associate-r`
158×	`associate-l`
157×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	44	8
2	458	8
3	5126	8

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(sin.f64 x)

Outputs
(+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 5 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 x)))) (sqrt.f64 (log.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))

simplify59.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

385×	`distribute-lft-out`
367×	`fma-define`
355×	`associate-r`
336×	`associate-+l-`
305×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	166	1214
1	319	1198
2	820	1171
3	3568	1122

Stop Event

1×	node limit

Counts

54 → 79

Calls

Call 1

Inputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 5 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (sin.f64 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 x)))) (sqrt.f64 (log.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))

Outputs
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/120 binary64) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(sin.f64 x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(sin.f64 x)
(-.f64 (.f64 (sin.f64 (+.f64 x #s(literal 1 binary64))) (cos.f64 #s(literal 1 binary64))) (.f64 (cos.f64 (+.f64 x #s(literal 1 binary64))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 (sin.f64 x) (log.f64 (E.f64)))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(sin.f64 x)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 5 binary64)))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))))
(sin.f64 x)
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))))
(.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 x))))
(sin.f64 x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sin.f64 x))
(sin.f64 x)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (sin.f64 x))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64))))
(*.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 5/2 binary64))))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(sin.f64 x)
(*.f64 (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 5 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 5 binary64))))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sin.f64 x)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 5 binary64)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (sin.f64 x))))
(sin.f64 x)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64))) (pow.f64 (sin.f64 x) #s(literal 1/6 binary64)))
(sin.f64 x)
(/.f64 (sqrt.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (sin.f64 x) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 2 binary64) (sin.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 2 binary64) (sin.f64 x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (sin.f64 x)) (+.f64 #s(literal 2 binary64) (sin.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) (+.f64 (sin.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (+.f64 (sin.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(pow.f64 (E.f64) (log.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sin.f64 x)) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (sin.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 x)))) (sqrt.f64 (log.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(fabs.f64 (sin.f64 x))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 x))) #s(literal 3 binary64)))
(sin.f64 x)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (sin.f64 x))) #s(literal 1/3 binary64)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 x))) #s(literal 2 binary64)))
(sin.f64 x)

eval21.0ms (0.9%)

Compiler: Compiled 1254 to 584 computations (53.4% saved)

prune60.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	2	80

Accuracy

100.0%

Counts

80 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	62.6%	(*.f64 x (/.f64 (sinh.f64 y) y))

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize33.0ms (1.5%)

Results

11.0ms	139×	256	infinite
11.0ms	117×	256	valid

Compiler

Compiled 17 to 6 computations (64.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.5% of total)

ival-div: 2.0ms (25.2% of total)

ival-sinh: 2.0ms (25.2% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	1	1
Total	2	2

Accuracy

100.0%

Counts

2 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	62.6%	(*.f64 x (/.f64 (sinh.f64 y) y))

Compiler

Compiled 32 to 18 computations (43.8% saved)

regimes9.0ms (0.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	y
1.0ms	(sin.f64 x)
1.0ms	x
1.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))`
100.0%	1	`(sin.f64 x)`
100.0%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 25 to 17 computations (32% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

0.0ms	(/.f64 (sinh.f64 y) y)
0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
62.6%	1	`x`
62.6%	1	`y`
62.6%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	15	56

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 15 to 7 computations (53.3% saved)

preprocess35.0ms (1.5%)

Remove

(negabs x)

(abs y)

Compiler

Compiled 156 to 98 computations (37.2% saved)

Linear.Quaternion:$ccos from linear-1.19.1.3

analyze90.0ms (3.9%)

sample1.4s (60.7%)

preprocess110.0ms (4.8%)

explain89.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (1.8%)

series1.0ms (0.1%)

rewrite342.0ms (15%)

simplify59.0ms (2.6%)

eval21.0ms (0.9%)

prune60.0ms (2.6%)

localize33.0ms (1.5%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes9.0ms (0.4%)

regimes2.0ms (0.1%)

simplify2.0ms (0.1%)

soundness1.0ms (0%)

preprocess35.0ms (1.5%)

end0.0ms (0%)

Profiling