Details

analyze1.0s (5.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	199.8%	-99.8%	0%	0%	0%	1
0%	0%	399.6%	-299.6%	0%	0%	0%	2
0%	0%	799.2%	-699.2%	0%	0%	0%	3
0%	0%	1598.4%	-1498.4%	0%	0%	0%	4
0%	0%	3196.9%	-3096.9%	0%	0%	0%	5
0%	0%	6393.8%	-6293.8%	0%	0%	0%	6
0%	0%	12787.5%	-12687.5%	0%	0%	0%	7
0%	0%	25575%	-25475%	0%	0%	0%	8
0%	0%	51150%	-51050%	0%	0%	0%	9
0%	0%	102300%	-102200%	0%	0%	0%	10
0%	0%	204600%	-204500%	0%	0%	0%	11
0%	0%	409200.1%	-409100.1%	0%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample13.8s (74%)

Results

10.6s	7211×	body	8192	exit
1.6s	4874×	body	256	valid
650.0ms	1265×	body	1024	valid
536.0ms	962×	body	2048	valid
288.0ms	814×	body	512	valid
78.0ms	341×	body	256	infinite

Bogosity

preprocess79.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

1380×	`fma-neg`
1340×	`fma-def`
1114×	`div-sub`
1034×	`associate-*r/`
902×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	65	42
3	146	42
4	329	42
5	839	42
6	2563	42
7	6763	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1558×	`fma-neg`
982×	`times-frac`
714×	`associate-r`
710×	`associate-/l*`
706×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	37	21
3	79	21
4	172	21
5	433	21
6	1312	21
7	5140	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize322.0ms (1.7%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series49.0ms (0.3%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
46.0ms	y	@	inf	(sinh.f64 y)
1.0ms	y	@	-inf	(sinh.f64 y)
1.0ms	y	@	0	(sinh.f64 y)
0.0ms	x	@	0	(sin.f64 x)
0.0ms	x	@	-inf	(sin.f64 x)

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`pow1`
1096×	`add-exp-log`
1094×	`log1p-expm1-u`
1094×	`expm1-log1p-u`
1072×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	121	10
2	1463	10

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))

simplify97.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1884×	`fma-def`
822×	`times-frac`
682×	`log-prod`
536×	`unswap-sqr`
516×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1185
1	237	1077
2	916	923
3	3760	401

Stop Event

1×	node limit

Counts

53 → 66

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/5040 (pow.f64 y 7) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 1 (sinh.f64 y))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(sinh.f64 y)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(+.f64 1 (-.f64 (sin.f64 x) 1))
(+.f64 (sin.f64 x) 0)
(sin.f64 x)

eval36.0ms (0.2%)

Compiler: Compiled 839 to 427 computations (49.1% saved)

prune46.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	61	5	66
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	6	67

Accurracy

100.0%

Counts

67 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.9%	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) y))
▶	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
▶	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
▶	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
▶	51.9%	(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) y))
▶	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
▶	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
▶	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))

Compiler

Compiled 238 to 168 computations (29.4% saved)

localize1.2s (6.7%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(sinh.f64 y)
✓	100.0%	(sqrt.f64 (sin.f64 x))
✓	99.8%	(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
✓	76.5%	(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
	100.0%	(sinh.f64 y)
✓	100.0%	(*.f64 x (/.f64 (sinh.f64 y) y))
	100.0%	(sinh.f64 y)
✓	99.8%	(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
✓	99.7%	(cbrt.f64 (sinh.f64 y))

Compiler

Compiled 140 to 41 computations (70.7% saved)

series21.0ms (0.1%)

Counts

6 → 56

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(*.f64 x (/.f64 (sinh.f64 y) y))
2.0ms	y	@	-inf	(cbrt.f64 (sinh.f64 y))
2.0ms	y	@	inf	(cbrt.f64 (sinh.f64 y))
2.0ms	x	@	-inf	(*.f64 x (/.f64 (sinh.f64 y) y))
1.0ms	y	@	0	(cbrt.f64 (sinh.f64 y))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

360×	`add-sqr-sqrt`
346×	`pow1`
342×	`*-un-lft-identity`
340×	`add-exp-log`
338×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	403	46
2	5579	46

Stop Event

1×

unsound

Counts

6 → 150

Calls

Call 1

Inputs
(cbrt.f64 (sinh.f64 y))
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(*.f64 x (/.f64 (sinh.f64 y) y))
(-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (sin.f64 x))

Outputs
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
y
x
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
y
x
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
y
x
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
y
x
(-.f64 -3 (*.f64 -3 (cos.f64 -3)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) -3)
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) -3)
(*.f64 (sin.f64 -3) (sin.f64 -3))
(/.f64 (-.f64 (cos.f64 -3) (cos.f64 -3)) -3)
(sqrt.f64 (sin.f64 -3))
(fabs.f64 (sin.f64 -3))
(log.f64 (exp.f64 (sin.f64 -3)))
(log.f64 (+.f64 -3 (expm1.f64 (sin.f64 -3))))
(cbrt.f64 (sin.f64 -3))
(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(exp.f64 (log.f64 (sin.f64 -3)))
(log1p.f64 (expm1.f64 (sin.f64 -3)))
(-.f64 -3 (*.f64 -3 (cos.f64 -3)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) -3)
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) -3)
(*.f64 (sin.f64 -3) (sin.f64 -3))
(/.f64 (-.f64 (cos.f64 -3) (cos.f64 -3)) -3)
(pow.f64 (sin.f64 -3) -3)
(fabs.f64 (sin.f64 -3))
(log.f64 (exp.f64 (sin.f64 -3)))
(log.f64 (+.f64 -3 (expm1.f64 (sin.f64 -3))))
(cbrt.f64 (sin.f64 -3))
(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(exp.f64 (log.f64 (sin.f64 -3)))
(log1p.f64 (expm1.f64 (sin.f64 -3)))

simplify199.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1652×	`fma-def`
750×	`times-frac`
712×	`associate-*r/`
638×	`*-commutative`
604×	`associate-/l*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	111	1968
1	230	1968
2	491	1892
3	1418	1886
4	3386	1878
5	6998	1878

Stop Event

1×	node limit

Counts

206 → 96

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 2 y)
(+.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 2 y))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (*.f64 2 y)))
(+.f64 (.f64 1/3 (pow.f64 y 3)) (+.f64 (.f64 1/60 (pow.f64 y 5)) (+.f64 (.f64 2 y) (.f64 1/2520 (pow.f64 y 7)))))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(-.f64 (exp.f64 y) (exp.f64 (*.f64 -1 y)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
-3
-2
-1
0
1/27
1/9
1/8
1/6
1/4
1/3
1/2
2/3
3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
(-.f64 -3 (*.f64 -3 (cos.f64 -3)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) -3)
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) -3)
(*.f64 (sin.f64 -3) (sin.f64 -3))
(/.f64 (-.f64 (cos.f64 -3) (cos.f64 -3)) -3)
(sqrt.f64 (sin.f64 -3))
(fabs.f64 (sin.f64 -3))
(log.f64 (exp.f64 (sin.f64 -3)))
(log.f64 (+.f64 -3 (expm1.f64 (sin.f64 -3))))
(cbrt.f64 (sin.f64 -3))
(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(exp.f64 (log.f64 (sin.f64 -3)))
(log1p.f64 (expm1.f64 (sin.f64 -3)))
(-.f64 -3 (*.f64 -3 (cos.f64 -3)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) -3)
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) -3)
(*.f64 (sin.f64 -3) (sin.f64 -3))
(/.f64 (-.f64 (cos.f64 -3) (cos.f64 -3)) -3)
(pow.f64 (sin.f64 -3) -3)
(fabs.f64 (sin.f64 -3))
(log.f64 (exp.f64 (sin.f64 -3)))
(log.f64 (+.f64 -3 (expm1.f64 (sin.f64 -3))))
(cbrt.f64 (sin.f64 -3))
(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(exp.f64 (log.f64 (sin.f64 -3)))
(log1p.f64 (expm1.f64 (sin.f64 -3)))

Outputs
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (cbrt.f64 1/2))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y)))
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2/3
3/4
1
3/2
2
9/4
3
27/8
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6
8
9
16
27
64
81
512
729
19683
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0
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1/6
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3/4
1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
19683
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1
3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
729
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2/3
3/4
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3/2
2
9/4
3
27/8
4
6
8
9
16
27
64
81
512
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(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(sin.f64 -3)
(exp.f64 (log.f64 (sin.f64 -3)))
(sin.f64 -3)
(log1p.f64 (expm1.f64 (sin.f64 -3)))
(sin.f64 -3)
(-.f64 -3 (*.f64 -3 (cos.f64 -3)))
(+.f64 -3 (*.f64 3 (cos.f64 -3)))
(fma.f64 3 (cos.f64 -3) -3)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) -3)
(+.f64 (exp.f64 (log1p.f64 (sin.f64 -3))) 3)
(+.f64 3 (exp.f64 (log1p.f64 (sin.f64 -3))))
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) -3)
(*.f64 -3 (sin.f64 -3))
(*.f64 (sin.f64 -3) (sin.f64 -3))
(pow.f64 (sin.f64 -3) 2)
(/.f64 (-.f64 (cos.f64 -3) (cos.f64 -3)) -3)
0
(pow.f64 (sin.f64 -3) -3)
(fabs.f64 (sin.f64 -3))
(log.f64 (exp.f64 (sin.f64 -3)))
(sin.f64 -3)
(log.f64 (+.f64 -3 (expm1.f64 (sin.f64 -3))))
(cbrt.f64 (sin.f64 -3))
(sin.f64 -3)
(expm1.f64 (log1p.f64 (sin.f64 -3)))
(sin.f64 -3)
(exp.f64 (log.f64 (sin.f64 -3)))
(sin.f64 -3)
(log1p.f64 (expm1.f64 (sin.f64 -3)))
(sin.f64 -3)

eval408.0ms (2.2%)

Compiler: Compiled 6030 to 3434 computations (43.1% saved)

prune108.0ms (0.6%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	426	3	429
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	427	8	435

Accurracy

100.0%

Counts

435 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.9%	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
✓	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
▶	92.5%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
✓	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
✓	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
	47.4%	x
▶	47.9%	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
✓	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
▶	92.5%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
✓	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
✓	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
	47.4%	x

Compiler

Compiled 170 to 120 computations (29.4% saved)

localize798.0ms (4.3%)

Compiler: Compiled 91 to 57 computations (37.4% saved)

eval0.0ms (0%)

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

prune12.0ms (0.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	2	2
Done	5	5
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
✓	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
✓	92.5%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
✓	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
✓	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
	47.4%	x
✓	47.9%	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
✓	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
✓	92.5%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
✓	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
✓	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
	47.4%	x

Compiler

Compiled 170 to 120 computations (29.4% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune6.0ms (0%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	7	7
Total	8	8

Accurracy

100.0%

Counts

8 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.9%	(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
✓	97.6%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
✓	92.5%	(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
✓	10.6%	(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
✓	100.0%	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	94.8%	(*.f64 (sin.f64 x) (/.f64 y y))
✓	50.6%	(*.f64 x (/.f64 (sinh.f64 y) y))
	47.4%	x

Compiler

Compiled 166 to 103 computations (38% saved)

regimes38.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
x
(*.f64 x (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 y y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 y) 3) y))
(.f64 (sin.f64 x) (/.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) y))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 3) y))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) 2) (/.f64 (sinh.f64 y) y))

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

Calls

5 calls:

11.0ms	x
10.0ms	(sin.f64 x)
6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	y
2.0ms	(/.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 106 to 60 computations (43.4% saved)

regimes39.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	(sin.f64 x)
14.0ms	x
7.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
96.8%	3	`x`
96.5%	2	`y`
96.8%	3	`(sin.f64 x)`
97.6%	2	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 31 to 19 computations (38.7% saved)

regimes9.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	y
3.0ms	x
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Accuracy	Segments	Branch
50.6%	1	`x`
50.6%	1	`y`
50.6%	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 21 to 13 computations (38.1% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
47.4%	1	`y`
47.4%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000021518505	1.0000001830433805

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	92
1	21	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 4503600077730459/4503599627370496) (.f64 (sin.f64 x) (/.f64 y y)) (.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
x

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(if (<=.f64 (/.f64 (sinh.f64 y) y) 4503600077730459/4503599627370496) (.f64 (sin.f64 x) (/.f64 y y)) (.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
x

Compiler

Compiled 41 to 24 computations (41.5% saved)

soundness0.0ms (0%)

end42.0ms (0.2%)

Compiler: Compiled 88 to 36 computations (59.1% saved)

Linear.Quaternion:$ccos from linear-1.19.1.3

Details

analyze1.0s (5.4%)

sample13.8s (74%)

preprocess79.0ms (0.4%)

simplify69.0ms (0.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize322.0ms (1.7%)

series49.0ms (0.3%)

rewrite121.0ms (0.6%)

simplify97.0ms (0.5%)

eval36.0ms (0.2%)

prune46.0ms (0.2%)

localize1.2s (6.7%)

series21.0ms (0.1%)

rewrite72.0ms (0.4%)

simplify199.0ms (1.1%)

eval408.0ms (2.2%)

prune108.0ms (0.6%)

localize798.0ms (4.3%)

eval0.0ms (0%)

prune12.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune6.0ms (0%)

regimes38.0ms (0.2%)

regimes39.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness0.0ms (0%)

end42.0ms (0.2%)

Profiling