Details

analyze542.0ms (5.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4855	22
1	4855	22
0	2	2
1	2	2

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 8 to 7 computations (12.5% saved)

sample62.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms	63×	body	1024	valid
12.0ms	63×	body	1024	invalid
7.0ms	141×	body	128	valid
5.0ms	36×	body	512	valid
4.0ms	31×	body	512	invalid
2.0ms	20×	body	256	invalid
2.0ms	16×	body	256	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4950	11
1	4950	11

prune214.0ms (2.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite133.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_10671`
20×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
19×	`times-frac_binary64_10655`
13×	`associate-r_binary64_10589`
11×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
6×	`pow1_binary64_10710`
4×	`add-log-exp_binary64_10688`
3×	`associate-/l_binary64_10594` `associate-/r_binary64_10593` `cosh-def_binary64_10835` `associate-l_binary64_10590`
2×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `div-inv_binary64_10646` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `unswap-sqr_binary64_10617`
1×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `pow-prod-down_binary64_10720` `frac-times_binary64_10659` `associate-l/_binary64_10592` `associate-r/_binary64_10591` `*-commutative_binary64_10580`

Counts

4 → 76

Calls

4 calls:

7.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)
1.0ms	(sin.f64 y)
1.0ms	(cosh.f64 x)

Compiler

Compiled 1006 to 249 computations (75.2% saved)

series533.0ms (5.3%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

353.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
59.0ms	(cosh.f64 x)
48.0ms	(/.f64 (sin.f64 y) y)
22.0ms	(sin.f64 y)

Compiler

Compiled 1131 to 808 computations (28.6% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	1533
1	4958	1533

prune151.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	7	107

Error

0.0b

Counts

107 → 7

Compiler

Compiled 1329 to 452 computations (66% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite103.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`add-exp-log_binary64_10687` `add-cbrt-cube_binary64_10685`
10×	`add-sqr-sqrt_binary64_10671`
8×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
6×	`pow1_binary64_10710`
4×	`add-log-exp_binary64_10688`
3×	`times-frac_binary64_10655` `cosh-def_binary64_10835` `associate-/r_binary64_10593` `associate-l_binary64_10590` `associate-r*_binary64_10589`
2×	`prod-exp_binary64_10698` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `cbrt-unprod_binary64_10682` `associate-*r/_binary64_10591`
1×	`frac-2neg_binary64_10660` `clear-num_binary64_10648` `div-inv_binary64_10646` `associate-/l/_binary64_10596` `associate-/l_binary64_10594` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `-commutative_binary64_10580`

Counts

4 → 56

Calls

4 calls:

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

Compiler

Compiled 681 to 189 computations (72.2% saved)

series780.0ms (7.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

369.0ms	(/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) y)
263.0ms	(*.f64 (sin.f64 y) (cosh.f64 x))
58.0ms	(cosh.f64 x)
18.0ms	(sin.f64 y)

Compiler

Compiled 1620 to 1117 computations (31% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4941	1428
1	4941	1428

prune129.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	92	7	99

Error

0.0b

Counts

99 → 7

Compiler

Compiled 1088 to 429 computations (60.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(cosh.f64 x)
0.0b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
0.0b	(sin.f64 y)
0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite152.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`add-exp-log_binary64_10687`
20×	`add-sqr-sqrt_binary64_10671`
18×	`add-cbrt-cube_binary64_10685`
14×	`-un-lft-identity_binary64_10649` `associate-r*_binary64_10589`
13×	`prod-exp_binary64_10698` `add-cube-cbrt_binary64_10684`
11×	`pow1_binary64_10710` `times-frac_binary64_10655`
7×	`cbrt-unprod_binary64_10682`
6×	`associate-l_binary64_10590`
5×	`associate-*r/_binary64_10591`
4×	`pow-prod-down_binary64_10720` `div-exp_binary64_10700` `add-log-exp_binary64_10688` `cosh-def_binary64_10835`
3×	`un-div-inv_binary64_10647` `unswap-sqr_binary64_10617`
2×	`1-exp_binary64_10693` `rec-exp_binary64_10699` `cbrt-undiv_binary64_10683` `*-commutative_binary64_10580` `frac-times_binary64_10659`
1×	`div-inv_binary64_10646` `associate-*l/_binary64_10592`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
8.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
1.0ms	(sin.f64 y)
1.0ms	(cosh.f64 x)

Compiler

Compiled 1121 to 538 computations (52% saved)

series563.0ms (5.6%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

377.0ms	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
61.0ms	(cosh.f64 x)
47.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
19.0ms	(sin.f64 y)

Compiler

Compiled 1192 to 870 computations (27% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4939	1407
1	4939	1407

prune144.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	108	7	115

Error

0.0b

Counts

115 → 7

Compiler

Compiled 1210 to 544 computations (55% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite122.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_10680`
23×	`add-sqr-sqrt_binary64_10671`
15×	`add-cube-cbrt_binary64_10684` `*-un-lft-identity_binary64_10649`
11×	`pow1_binary64_10710`
9×	`pow1/3_binary64_10731`
6×	`add-exp-log_binary64_10687` `swap-sqr_binary64_10616` `associate-l_binary64_10590` `associate-r_binary64_10589`
4×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `unswap-sqr_binary64_10617`
2×	`pow-prod-down_binary64_10720` `pow-prod-up_binary64_10719` `pow-sqr_binary64_10622`
1×	`pow2_binary64_10730` `pow-plus_binary64_10712` `prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `*-commutative_binary64_10580`

Counts

4 → 73

Calls

4 calls:

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

Compiler

Compiled 1476 to 302 computations (79.5% saved)

series613.0ms (6.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

177.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
138.0ms	(cbrt.f64 (sin.f64 y))
132.0ms	(cbrt.f64 (sin.f64 y))
130.0ms	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 1210 to 808 computations (33.2% saved)

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4867	1020
1	4867	1020

prune99.0ms (1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	97	7	104

Error

0.0b

Counts

104 → 7

Compiler

Compiled 1395 to 457 computations (67.2% saved)

regimes3.1s (31%)

Accuracy

Total 0.1b remaining (54.1%)

Threshold costs 0.1b (54.1%)

Compiler

Compiled 25072 to 18244 computations (27.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	21
1	22	21

end2.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

sample2.2s (21.4%)

Algorithm

1×

intervals

Results

470.0ms	1985×	body	1024	valid
384.0ms	1942×	body	1024	invalid
244.0ms	4494×	body	128	valid
158.0ms	1027×	body	512	valid
153.0ms	1019×	body	512	invalid
49.0ms	488×	body	256	valid
46.0ms	465×	body	256	invalid
38.0ms	670×	body	128	invalid
4.0ms	6×	body	2048	valid

Compiler

Compiled 113 to 95 computations (15.9% saved)

Details

analyze542.0ms (5.4%)

sample62.0ms (0.6%)

simplify113.0ms (1.1%)

prune214.0ms (2.1%)

localize7.0ms (0.1%)

rewrite133.0ms (1.3%)

series533.0ms (5.3%)

simplify81.0ms (0.8%)

prune151.0ms (1.5%)

localize9.0ms (0.1%)

rewrite103.0ms (1%)

series780.0ms (7.7%)

simplify75.0ms (0.7%)

prune129.0ms (1.3%)

localize7.0ms (0.1%)

rewrite152.0ms (1.5%)

series563.0ms (5.6%)

simplify73.0ms (0.7%)

prune144.0ms (1.4%)

localize13.0ms (0.1%)

rewrite122.0ms (1.2%)

series613.0ms (6.1%)

simplify90.0ms (0.9%)

prune99.0ms (1%)

regimes3.1s (31%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end2.0ms (0%)

sample2.2s (21.4%)

Profiling