Details

analyze343.0ms (7.7%)

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
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample55.0ms (1.2%)

Algorithm

1×

intervals

Results

15.0ms	60×	body	1024	invalid
10.0ms	201×	body	128	valid
6.0ms	18×	body	1024	valid
5.0ms	23×	body	128	invalid
4.0ms	22×	body	512	valid
3.0ms	21×	body	512	invalid
2.0ms	15×	body	256	valid
1.0ms	9×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5017	11

prune2.0ms (0.1%)

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

Merged error: 14.3b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.3b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
1.0ms	(sinh.f64 y)

series415.0ms (9.3%)

Counts

3 → 9

Calls

3 calls:

193.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
154.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
67.0ms	(sinh.f64 y)

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5601	673

prune102.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	52	6	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

Compiler

Compiled 1457 to 724 computations (50.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 y)
0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `sinh-def_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `-commutative_binary64`

Counts

2 → 40

Calls

2 calls:

9.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
1.0ms	(sinh.f64 y)

series268.0ms (6%)

Counts

2 → 6

Calls

2 calls:

201.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
67.0ms	(sinh.f64 y)

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4939	622
1	4939	622

prune56.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0b

Counts

52 → 8

Compiler

Compiled 991 to 416 computations (58% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 x (sinh.f64 y))
0.4b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`sinh-def_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`add-log-exp_binary64` `pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 110

Calls

3 calls:

7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
4.0ms	(/.f64 x (sinh.f64 y))
1.0ms	(sinh.f64 y)

series516.0ms (11.5%)

Counts

3 → 9

Calls

3 calls:

251.0ms	(/.f64 x (sinh.f64 y))
195.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
69.0ms	(sinh.f64 y)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4918	2253
1	4918	2253

prune118.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	6	0	6
Picked	1	0	1
Done	0	1	1
Total	123	4	127

Merged error: 0b

Counts

127 → 4

Compiler

Compiled 2301 to 716 computations (68.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b	(/.f64 (sin.f64 x) x)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

8.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)
1.0ms	(sinh.f64 y)

series290.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

183.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
70.0ms	(sinh.f64 y)
37.0ms	(/.f64 (sin.f64 x) x)

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4928	1001
1	4928	1001

prune56.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	78	4	82

Merged error: 0b

Counts

82 → 4

Compiler

Compiled 1076 to 317 computations (70.5% saved)

regimes32.0ms (0.7%)

Compiler: Compiled 110 to 98 computations (10.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample1.8s (40.2%)

Algorithm

1×

intervals

Results

501.0ms	1989×	body	1024	invalid
312.0ms	6272×	body	128	valid
181.0ms	604×	body	1024	valid
161.0ms	987×	body	512	invalid
114.0ms	711×	body	512	valid
55.0ms	472×	body	256	invalid
52.0ms	765×	body	128	invalid
44.0ms	413×	body	256	valid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 56 to 49 computations (12.5% saved)

Details

analyze343.0ms (7.7%)

sample55.0ms (1.2%)

simplify59.0ms (1.3%)

prune2.0ms (0.1%)

localize7.0ms (0.1%)

rewrite15.0ms (0.3%)

series415.0ms (9.3%)

simplify54.0ms (1.2%)

prune102.0ms (2.3%)

localize6.0ms (0.1%)

rewrite13.0ms (0.3%)

series268.0ms (6%)

simplify56.0ms (1.2%)

prune56.0ms (1.3%)

localize6.0ms (0.1%)

rewrite23.0ms (0.5%)

series516.0ms (11.5%)

simplify88.0ms (2%)

prune118.0ms (2.6%)

localize7.0ms (0.2%)

rewrite18.0ms (0.4%)

series290.0ms (6.5%)

simplify67.0ms (1.5%)

prune56.0ms (1.3%)

regimes32.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (40.2%)

Profiling