Details

analyze485.0ms (8.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4948	22
1	4948	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
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)

sample53.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms	65×	body	1024	invalid
9.0ms	197×	body	128	valid
6.0ms	43×	body	512	invalid
5.0ms	23×	body	1024	valid
2.0ms	16×	body	512	valid
2.0ms	20×	body	256	valid
1.0ms	11×	body	256	invalid
1.0ms	15×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4943	11
1	4943	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

Error

14.7b

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	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.7b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
9×	`add-sqr-sqrt_binary64_14422`
7×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400`
5×	`pow1_binary64_14461`
3×	`add-log-exp_binary64_14439` `times-frac_binary64_14406` `sinh-def_binary64_14585` `associate-/r_binary64_14344` `associate-l_binary64_14341` `associate-r*_binary64_14340`
2×	`prod-exp_binary64_14449` `div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `cbrt-unprod_binary64_14433` `associate-*r/_binary64_14342`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `associate-/l/_binary64_14347` `associate-/l_binary64_14345` `pow-prod-down_binary64_14471` `unswap-sqr_binary64_14368` `-commutative_binary64_14331`

Counts

3 → 49

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
5.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
1.0ms	(sinh.f64 y)

Compiler

Compiled 621 to 171 computations (72.5% saved)

series423.0ms (7.1%)

Error

14.7b

Counts

3 → 26

Calls

3 calls:

211.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
143.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
43.0ms	(sinh.f64 y)

Compiler

Compiled 1169 to 782 computations (33.1% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5182	1089

prune64.0ms (1.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	69	6	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	6	76

Error

0.2b

Counts

76 → 6

Compiler

Compiled 1022 to 391 computations (61.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.3b	(/.f64 (sinh.f64 y) x)

rewrite56.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64_14422`
19×	`add-cube-cbrt_binary64_14435` `times-frac_binary64_14406` `*-un-lft-identity_binary64_14400`
13×	`associate-l_binary64_14341`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
5×	`pow1_binary64_14461`
3×	`add-log-exp_binary64_14439` `associate-/l_binary64_14345` `associate-/r_binary64_14344` `associate-r_binary64_14340`
2×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `div-inv_binary64_14397` `sinh-def_binary64_14585` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `unswap-sqr_binary64_14368`
1×	`frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/l/_binary64_14347` `pow-prod-down_binary64_14471` `associate-l/_binary64_14343` `-commutative_binary64_14331`

Counts

3 → 68

Calls

3 calls:

7.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
3.0ms	(/.f64 (sinh.f64 y) x)
1.0ms	(sinh.f64 y)

Compiler

Compiled 942 to 237 computations (74.8% saved)

series397.0ms (6.6%)

Error

0.2b

Counts

3 → 25

Calls

3 calls:

199.0ms	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
137.0ms	(/.f64 (sinh.f64 y) x)
39.0ms	(sinh.f64 y)

Compiler

Compiled 1062 to 731 computations (31.2% saved)

simplify71.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5000	1315

prune64.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Error

0.2b

Counts

99 → 5

Compiler

Compiled 1284 to 410 computations (68.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(/.f64 (sin.f64 x) x)
0.3b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

rewrite62.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

24×	`add-sqr-sqrt_binary64_14422`
19×	`add-cube-cbrt_binary64_14435` `*-un-lft-identity_binary64_14400` `times-frac_binary64_14406`
13×	`associate-r_binary64_14340`
10×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
5×	`pow1_binary64_14461`
3×	`add-log-exp_binary64_14439` `sinh-def_binary64_14585` `associate-l_binary64_14341` `associate-/l_binary64_14345` `associate-/r_binary64_14344`
2×	`div-exp_binary64_14451` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `cbrt-undiv_binary64_14434` `unswap-sqr_binary64_14368` `div-inv_binary64_14397`
1×	`pow-prod-down_binary64_14471` `frac-times_binary64_14410` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331` `frac-2neg_binary64_14411` `clear-num_binary64_14399`

Counts

3 → 69

Calls

3 calls:

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

Compiler

Compiled 955 to 232 computations (75.7% saved)

series302.0ms (5%)

Error

0.2b

Counts

3 → 22

Calls

3 calls:

207.0ms	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
47.0ms	(sinh.f64 y)
30.0ms	(/.f64 (sin.f64 x) x)

Compiler

Compiled 848 to 590 computations (30.4% saved)

simplify57.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4964	1304
1	4964	1304

prune62.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	91	5	96

Error

0.2b

Counts

96 → 5

Compiler

Compiled 1235 to 371 computations (70% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(/.f64 x (sin.f64 x))
0.1b	(/.f64 1 (/.f64 x (sin.f64 x)))
0.3b	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))

rewrite395.0ms (6.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

156×	`times-frac_binary64_14406`
104×	`add-sqr-sqrt_binary64_14422`
92×	`*-un-lft-identity_binary64_14400`
90×	`add-cube-cbrt_binary64_14435`
44×	`associate-r_binary64_14340`
36×	`add-exp-log_binary64_14438`
20×	`add-cbrt-cube_binary64_14436`
16×	`associate-/r*_binary64_14344`
15×	`div-exp_binary64_14451`
10×	`div-inv_binary64_14397`
7×	`pow1_binary64_14461` `prod-exp_binary64_14449` `cbrt-undiv_binary64_14434`
6×	`associate-/l*_binary64_14345`
5×	`unswap-sqr_binary64_14368`
4×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `add-log-exp_binary64_14439`
3×	`cbrt-unprod_binary64_14433` `sinh-def_binary64_14585` `associate-l_binary64_14341`
2×	`associate-/r/_binary64_14346` `frac-2neg_binary64_14411` `clear-num_binary64_14399`
1×	`pow-prod-down_binary64_14471` `frac-times_binary64_14410` `un-div-inv_binary64_14398` `associate-l/_binary64_14343` `associate-r/_binary64_14342` `*-commutative_binary64_14331` `inv-pow_binary64_14485` `pow-flip_binary64_14474`

Counts

4 → 186

Calls

4 calls:

16.0ms	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))
6.0ms	(/.f64 x (sin.f64 x))
6.0ms	(/.f64 1 (/.f64 x (sin.f64 x)))
1.0ms	(sinh.f64 y)

Compiler

Compiled 3400 to 1372 computations (59.6% saved)

series346.0ms (5.8%)

Error

0.2b

Counts

4 → 28

Calls

4 calls:

208.0ms	(*.f64 (sinh.f64 y) (/.f64 1 (/.f64 x (sin.f64 x))))
45.0ms	(sinh.f64 y)
44.0ms	(/.f64 x (sin.f64 x))
28.0ms	(/.f64 1 (/.f64 x (sin.f64 x)))

Compiler

Compiled 1050 to 761 computations (27.5% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5624	3235

prune141.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	214	5	219

Error

0.2b

Counts

219 → 5

Compiler

Compiled 3222 to 1042 computations (67.7% saved)

regimes316.0ms (5.3%)

Accuracy

Total 0.1b remaining (79.2%)

Threshold costs 0.1b (79.2%)

Compiler

Compiled 2911 to 1958 computations (32.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.4s (40.2%)

Algorithm

1×

intervals

Results

435.0ms	2049×	body	1024	invalid
299.0ms	6171×	body	128	valid
154.0ms	645×	body	1024	valid
150.0ms	989×	body	512	invalid
100.0ms	698×	body	512	valid
47.0ms	493×	body	256	invalid
46.0ms	485×	body	256	valid
43.0ms	764×	body	128	invalid
0.0ms	1×	body	2048	valid

Compiler

Compiled 720 to 491 computations (31.8% saved)

Details

analyze485.0ms (8.1%)

sample53.0ms (0.9%)

simplify59.0ms (1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite55.0ms (0.9%)

series423.0ms (7.1%)

simplify61.0ms (1%)

prune64.0ms (1.1%)

localize6.0ms (0.1%)

rewrite56.0ms (0.9%)

series397.0ms (6.6%)

simplify71.0ms (1.2%)

prune64.0ms (1.1%)

localize6.0ms (0.1%)

rewrite62.0ms (1%)

series302.0ms (5%)

simplify57.0ms (0.9%)

prune62.0ms (1%)

localize7.0ms (0.1%)

rewrite395.0ms (6.6%)

series346.0ms (5.8%)

simplify84.0ms (1.4%)

prune141.0ms (2.4%)

regimes316.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (40.2%)

Profiling