Details

analyze326.0ms (7.1%)

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)

sample62.0ms (1.3%)

Algorithm

1×

intervals

Results

16.0ms	61×	body	1024	valid
10.0ms	43×	body	1024	invalid
7.0ms	145×	body	128	valid
5.0ms	32×	body	512	invalid
5.0ms	31×	body	512	valid
4.0ms	79×	body	128	invalid
2.0ms	19×	body	256	valid
1.0ms	7×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify231.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4865	11
1	4865	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 3 expressions with local error:

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

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_2794`
19×	`times-frac_binary64_2779` `add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
13×	`associate-r_binary64_2715`
10×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
5×	`pow1_binary64_2831`
3×	`associate-l_binary64_2716` `associate-/r_binary64_2719` `add-log-exp_binary64_2809` `associate-/l_binary64_2720`
2×	`cbrt-unprod_binary64_2803` `cbrt-undiv_binary64_2804` `unswap-sqr_binary64_2741` `div-inv_binary64_2770` `div-exp_binary64_2821` `prod-exp_binary64_2819` `sinh-def_binary64_2955`
1×	`frac-2neg_binary64_2784` `associate-/l/_binary64_2722` `pow-prod-down_binary64_2841` `-commutative_binary64_2706` `clear-num_binary64_2772` `associate-r/_binary64_2717`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(sinh.f64 y)

series401.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

210.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
118.0ms	(/.f64 (sinh.f64 y) y)
74.0ms	(sinh.f64 y)

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6132	1002

prune53.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

Compiler

Compiled 1000 to 267 computations (73.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
0.0b	(sinh.f64 y)
0.0b	(sinh.f64 y)

rewrite39.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`add-sqr-sqrt_binary64_2794`
66×	`sqrt-prod_binary64_2788`
51×	`times-frac_binary64_2779`
44×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
19×	`pow1_binary64_2831`
18×	`swap-sqr_binary64_2740`
16×	`associate-l_binary64_2716` `associate-r_binary64_2715`
9×	`unswap-sqr_binary64_2741`
8×	`add-exp-log_binary64_2808` `sqrt-pow1_binary64_2790` `add-cbrt-cube_binary64_2806` `pow1/2_binary64_2850`
5×	`div-inv_binary64_2770` `pow-prod-up_binary64_2840`
4×	`sqrt-div_binary64_2789` `add-log-exp_binary64_2809`
3×	`pow-sqr_binary64_2746` `pow-prod-down_binary64_2841` `associate-/r_binary64_2719` `associate-/l_binary64_2720` `sinh-def_binary64_2955`
1×	`cbrt-unprod_binary64_2803` `cbrt-undiv_binary64_2804` `frac-2neg_binary64_2784` `rem-square-sqrt_binary64_2785` `associate-/l/_binary64_2722` `div-exp_binary64_2821` `sqrt-unprod_binary64_2792` `-commutative_binary64_2706` `pow2_binary64_2851` `clear-num_binary64_2772` `associate-r/_binary64_2717` `prod-exp_binary64_2819` `pow-plus_binary64_2833` `frac-times_binary64_2783` `associate-*l/_binary64_2718`

Counts

4 → 131

Calls

4 calls:

15.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)
1.0ms	(sinh.f64 y)

series542.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

281.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
113.0ms	(/.f64 (sinh.f64 y) y)
78.0ms	(sinh.f64 y)
69.0ms	(sinh.f64 y)

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4994	2184
1	4994	2184

prune110.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	143	3	146

Merged error: 0b

Counts

146 → 3

Compiler

Compiled 2682 to 696 computations (74% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
15.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
9×	`add-sqr-sqrt_binary64_2794`
7×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
5×	`pow1_binary64_2831`
3×	`times-frac_binary64_2779` `associate-l_binary64_2716` `associate-/r_binary64_2719` `associate-r*_binary64_2715` `add-log-exp_binary64_2809` `sinh-def_binary64_2955`
2×	`cbrt-unprod_binary64_2803` `cbrt-undiv_binary64_2804` `div-exp_binary64_2821` `prod-exp_binary64_2819` `associate-*l/_binary64_2718`
1×	`frac-2neg_binary64_2784` `associate-/l/_binary64_2722` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `div-inv_binary64_2770` `-commutative_binary64_2706` `clear-num_binary64_2772` `associate-/l_binary64_2720`

Counts

3 → 49

Calls

3 calls:

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

series368.0ms (8%)

Counts

3 → 9

Calls

3 calls:

151.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
147.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))
69.0ms	(sinh.f64 y)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5428	713

prune32.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

Compiler

Compiled 673 to 205 computations (69.5% saved)

regimes46.0ms (1%)

Compiler: Compiled 170 to 134 computations (21.2% 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%)

sample2.2s (47.2%)

Algorithm

1×

intervals

Results

516.0ms	1945×	body	1024	valid
459.0ms	1901×	body	1024	invalid
235.0ms	4508×	body	128	valid
162.0ms	996×	body	512	valid
155.0ms	996×	body	512	invalid
137.0ms	2526×	body	128	invalid
56.0ms	547×	body	256	valid
54.0ms	483×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 43 to 35 computations (18.6% saved)

Details

analyze326.0ms (7.1%)

sample62.0ms (1.3%)

simplify231.0ms (5%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite18.0ms (0.4%)

series401.0ms (8.7%)

simplify61.0ms (1.3%)

prune53.0ms (1.1%)

localize9.0ms (0.2%)

rewrite39.0ms (0.8%)

series542.0ms (11.8%)

simplify53.0ms (1.2%)

prune110.0ms (2.4%)

localize6.0ms (0.1%)

rewrite15.0ms (0.3%)

series368.0ms (8%)

simplify52.0ms (1.1%)

prune32.0ms (0.7%)

regimes46.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (47.2%)

Profiling