Details

analyze530.0ms (7.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.1s (59.8%)

Results

1.2s	2041×	body	1024	valid
1.1s	2084×	body	1024	invalid
637.0ms	4621×	body	128	valid
372.0ms	1009×	body	512	invalid
355.0ms	1028×	body	512	valid
123.0ms	556×	body	256	valid
119.0ms	492×	body	256	invalid
100.0ms	740×	body	128	invalid
12.0ms	10×	body	2048	valid
2.0ms	2×	body	2048	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

772×	`unswap-sqr_binary64`
510×	`fma-def_binary64`
444×	`associate-/l*_binary64`
363×	`times-frac_binary64`
277×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	33	11
3	65	11
4	120	11
5	196	11
6	385	11
7	1108	11
8	3189	11
9	3542	11
10	4066	11

Stop Event

1×	node limit

Counts

1 → 2

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

Compiler

Compiled 34 to 20 computations (41.2% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 y (cosh.f64 x))
✓	0.1b	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

series76.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

49.0ms	(/.f64 y (cosh.f64 x))
27.0ms	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
81×	`prod-diff_binary64`
77×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2285	17

Stop Event

1×	node limit

Counts

2 → 77

Calls

2 calls:

43.0ms	(/.f64 y (cosh.f64 x))
43.0ms	(/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-neg_binary64`
535×	`times-frac_binary64`
322×	`fma-def_binary64`
306×	`sub-neg_binary64`
188×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	1097
1	259	1042
2	804	991
3	3330	988

Stop Event

1×	node limit

Counts

125 → 106

prune94.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	97	9	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	9	107

Error

Counts

107 → 9

Alt Table

Status	Error	Program
	13.8b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2)
	35.5b	(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (cosh.f64 x)))) (/.f64 (sin.f64 y) (sqrt.f64 (/.f64 y (cosh.f64 x)))))
	1.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
	0.3b	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
	34.5b	(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	0.7b	(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
▶	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	0.6b	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

Compiler

Compiled 1840 to 799 computations (56.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (cosh.f64 x) y)
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

series53.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

27.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
26.0ms	(/.f64 (cosh.f64 x) y)

rewrite59.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2039	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

2 calls:

58.0ms	(/.f64 (cosh.f64 x) y)
58.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
336×	`fma-neg_binary64`
281×	`fma-def_binary64`
260×	`sub-neg_binary64`
206×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1105
1	247	1040
2	726	990
3	2822	974

Stop Event

1×	node limit

Counts

105 → 85

prune87.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	85	9	94

Error

Counts

94 → 9

Alt Table

Status	Error	Program
	34.5b	(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	13.7b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
	35.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
▶	0.3b	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
	0.7b	(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
	0.6b	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

Compiler

Compiled 1512 to 719 computations (52.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
✓	0.0b	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
✓	0.1b	(/.f64 (sin.f64 y) y)

series42.0ms (0.6%)

Counts

3 → 52

Calls

3 calls:

25.0ms	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
14.0ms	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`log1p-expm1-u_binary64`
901×	`expm1-log1p-u_binary64`
233×	`prod-diff_binary64`
95×	`add-sqr-sqrt_binary64`
89×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	189	39
2	2440	39

Stop Event

1×	node limit

Counts

3 → 81

Calls

3 calls:

52.0ms	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
52.0ms	(.f64 (/.f64 (sin.f64 y) y) (.f64 x x))
52.0ms	(/.f64 (sin.f64 y) y)

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

995×	`fma-neg_binary64`
313×	`sub-neg_binary64`
299×	`fma-def_binary64`
265×	`distribute-rgt-neg-in_binary64`
228×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	965
1	178	901
2	620	843
3	3127	839

Stop Event

1×	node limit

Counts

133 → 113

prune135.0ms (2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	153	9	162

Error

Counts

162 → 9

Alt Table

Status	Error	Program
	34.5b	(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	13.7b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
	35.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.3b	(*.f64 (sin.f64 y) (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 x) y)) 3))
	1.3b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (cosh.f64 x))) 2)) (/.f64 (sin.f64 y) (cbrt.f64 (/.f64 y (cosh.f64 x)))))
✓	0.3b	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
	0.7b	(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
▶	0.6b	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

Compiler

Compiled 3182 to 1247 computations (60.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 y) (cosh.f64 x))
✓	0.1b	(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
✓	0.5b	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

series293.0ms (4.3%)

Counts

3 → 72

Calls

3 calls:

187.0ms	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)
83.0ms	(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
22.0ms	(*.f64 (sin.f64 y) (cosh.f64 x))

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary64`
250×	`pow2_binary64`
175×	`pow1/3_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	190	30
2	2540	30

Stop Event

1×	node limit

Counts

3 → 121

Calls

3 calls:

51.0ms	(*.f64 (sin.f64 y) (cosh.f64 x))
51.0ms	(/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x)))
51.0ms	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

simplify68.0ms (1%)

Algorithm

1×	egg-herbie

Rules

502×	`fma-def_binary64`
319×	`associate-+l+_binary64`
293×	`associate-/r*_binary64`
281×	`times-frac_binary64`
263×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	473	5085
1	1625	4855

Stop Event

1×	node limit

Counts

193 → 176

prune226.0ms (3.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	174	2	176
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	176	9	185

Error

Counts

185 → 9

Alt Table

Status	Error	Program
	34.5b	(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (cosh.f64 x) y)))
	13.7b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y (cosh.f64 x)))) 2)
	35.5b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
	1.3b	(*.f64 (/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
	13.9b	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 y (sin.f64 y)) (cosh.f64 x))) 2) -1)
✓	0.3b	(fma.f64 1/2 (.f64 (/.f64 (sin.f64 y) y) (.f64 x x)) (/.f64 (sin.f64 y) y))
	0.7b	(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))) 2))
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.6b	(pow.f64 (/.f64 y (*.f64 (sin.f64 y) (cosh.f64 x))) -1)

Compiler

Compiled 7643 to 4504 computations (41.1% saved)

regimes611.0ms (9%)

Accuracy

Total 0.1b remaining (78.8%)

Threshold costs 0.1b (78.8%)

Counts

134 → 1

Compiler

Compiled 9663 to 6684 computations (30.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	12	11

Stop Event

1×

saturated

end100.0ms (1.5%)

Compiler: Compiled 143 to 90 computations (37.1% saved)

Details

analyze530.0ms (7.8%)

sample4.1s (59.8%)

simplify33.0ms (0.5%)

prune2.0ms (0%)

localize11.0ms (0.2%)

series76.0ms (1.1%)

rewrite44.0ms (0.7%)

simplify45.0ms (0.7%)

prune94.0ms (1.4%)

localize7.0ms (0.1%)

series53.0ms (0.8%)

rewrite59.0ms (0.9%)

simplify41.0ms (0.6%)

prune87.0ms (1.3%)

localize11.0ms (0.2%)

series42.0ms (0.6%)

rewrite54.0ms (0.8%)

simplify37.0ms (0.5%)

prune135.0ms (2%)

localize7.0ms (0.1%)

series293.0ms (4.3%)

rewrite53.0ms (0.8%)

simplify68.0ms (1%)

prune226.0ms (3.3%)

regimes611.0ms (9%)

simplify2.0ms (0%)

end100.0ms (1.5%)

Profiling