Details

analyze318.0ms (6.9%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample69.0ms (1.5%)

Algorithm

1×

intervals

Results

15.0ms	64×	body	1024	invalid
14.0ms	55×	body	1024	valid
8.0ms	35×	body	512	valid
7.0ms	144×	body	128	valid
5.0ms	84×	body	128	invalid
5.0ms	31×	body	512	invalid
2.0ms	22×	body	256	valid
2.0ms	17×	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 (52.0ms)

Iter	Nodes	Cost
0	5003	11

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

9.0ms

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

series218.0ms (4.7%)

Counts

1 → 3

Calls

1 calls:

218.0ms

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5230	524

prune31.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

Compiler

Compiled 564 to 196 computations (65.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series647.0ms (14%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
160.0ms	(cbrt.f64 y)
152.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 y)

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5244	563

prune68.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

Compiler

Compiled 1482 to 435 computations (70.6% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
13.9b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sinh-def_binary64` `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

2 → 41

Calls

2 calls:

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

series371.0ms (8%)

Counts

2 → 6

Calls

2 calls:

209.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
162.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5565	575

prune32.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	48	3	51

Merged error: 0b

Counts

51 → 3

Compiler

Compiled 570 to 183 computations (67.9% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 74

Calls

1 calls:

8.0ms

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

series208.0ms (4.5%)

Counts

1 → 3

Calls

1 calls:

207.0ms

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

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4971	1770
1	4971	1770

prune49.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	77	3	80

Merged error: 0b

Counts

80 → 3

Compiler

Compiled 1243 to 226 computations (81.8% saved)

regimes47.0ms (1%)

Compiler: Compiled 170 to 139 computations (18.2% saved)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end0.0ms (0%)

sample2.2s (47.4%)

Algorithm

1×

intervals

Results

511.0ms	1996×	body	1024	valid
489.0ms	2064×	body	1024	invalid
238.0ms	4509×	body	128	valid
162.0ms	1009×	body	512	valid
152.0ms	991×	body	512	invalid
137.0ms	2570×	body	128	invalid
57.0ms	485×	body	256	invalid
48.0ms	483×	body	256	valid
3.0ms	3×	body	2048	valid

Compiler

Compiled 43 to 36 computations (16.3% saved)

Details

analyze318.0ms (6.9%)

sample69.0ms (1.5%)

simplify59.0ms (1.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite11.0ms (0.2%)

series218.0ms (4.7%)

simplify52.0ms (1.1%)

prune31.0ms (0.7%)

localize12.0ms (0.3%)

rewrite17.0ms (0.4%)

series647.0ms (14%)

simplify53.0ms (1.1%)

prune68.0ms (1.5%)

localize6.0ms (0.1%)

rewrite14.0ms (0.3%)

series371.0ms (8%)

simplify54.0ms (1.2%)

prune32.0ms (0.7%)

localize6.0ms (0.1%)

rewrite16.0ms (0.3%)

series208.0ms (4.5%)

simplify59.0ms (1.3%)

prune49.0ms (1.1%)

regimes47.0ms (1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.2s (47.4%)

Profiling