Details

analyze119.0ms

Algorithm

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
74.9%	25%	0.1%	7
76.5%	23.4%	0.1%	8
84.3%	15.6%	0.1%	9
86.2%	13.7%	0.1%	10
91.3%	8.6%	0.1%	11
92.6%	7.3%	0.1%	12
95.4%	4.5%	0.1%	13
96.1%	3.8%	0.1%	14

sample41.0ms

Algorithm

intervals

Results

13.0ms	28×	body	1280	valid
8.0ms	184×	body	80	valid
4.0ms	25×	body	640	valid
2.0ms	10×	body	320	valid
1.0ms	9×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	17	9
1	17	9

prune6.0ms

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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1843`
19×	`times-frac_binary64_1853`
18×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
13×	`associate-r_binary64_1917`
9×	`add-cbrt-cube_binary64_1830` `add-exp-log_binary64_1822`
4×	`pow1_binary64_1804`
3×	`associate-l_binary64_1918` `associate-/r_binary64_1921` `associate-/l_binary64_1922`
2×	`div-exp_binary64_1811` `cbrt-undiv_binary64_1828` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `div-inv_binary64_1859` `unswap-sqr_binary64_1886` `add-log-exp_binary64_1823`
1×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `-commutative_binary64_1926` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785`

Counts

2 → 59

Calls

2 calls:

6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series67.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
19.0ms	(/.f64 (sin.f64 y) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5298	782

prune261.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	6	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0.0b

Counts

66 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64_1853`
103×	`add-sqr-sqrt_binary64_1843`
91×	`*-un-lft-identity_binary64_1858`
89×	`add-cube-cbrt_binary64_1829`
44×	`associate-r_binary64_1917`
27×	`add-exp-log_binary64_1822`
19×	`add-cbrt-cube_binary64_1830`
16×	`associate-/r*_binary64_1921`
10×	`div-inv_binary64_1859`
9×	`div-exp_binary64_1811`
7×	`cbrt-undiv_binary64_1828`
6×	`pow1_binary64_1804` `associate-/l*_binary64_1922`
5×	`prod-exp_binary64_1809` `unswap-sqr_binary64_1886`
4×	`rec-exp_binary64_1810`
3×	`cbrt-unprod_binary64_1827` `associate-l_binary64_1918` `add-log-exp_binary64_1823`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r/_binary64_1923`
1×	`pow-flip_binary64_1788` `-commutative_binary64_1926` `inv-pow_binary64_1780` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785` `un-div-inv_binary64_1860`

Counts

3 → 172

Calls

3 calls:

212.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
4.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
30.0ms	(/.f64 y (sin.f64 y))
21.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify100.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5026	2616

prune577.0ms

Filtered

124 candidates to 181 candidates (-46.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	179	2	181
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	181	7	188

Merged error: 0b

Counts

188 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
0.1b	(/.f64 1 (sin.f64 y))
0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

854×	`times-frac_binary64_1853`
426×	`add-sqr-sqrt_binary64_1843`
397×	`*-un-lft-identity_binary64_1858`
391×	`add-cube-cbrt_binary64_1829`
174×	`associate-r_binary64_1917`
65×	`add-exp-log_binary64_1822`
57×	`div-inv_binary64_1859`
35×	`add-cbrt-cube_binary64_1830`
31×	`div-exp_binary64_1811`
17×	`cbrt-undiv_binary64_1828`
16×	`associate-/r_binary64_1921` `associate-/l_binary64_1922`
13×	`rec-exp_binary64_1810`
10×	`prod-exp_binary64_1809` `unswap-sqr_binary64_1886`
6×	`pow1_binary64_1804`
5×	`cbrt-unprod_binary64_1827`
3×	`associate-l_binary64_1918` `add-log-exp_binary64_1823`
2×	`clear-num_binary64_1861` `frac-2neg_binary64_1851` `associate-/r/_binary64_1923`
1×	`pow-flip_binary64_1788` `-commutative_binary64_1926` `inv-pow_binary64_1780` `associate-/l/_binary64_1924` `associate-r/_binary64_1919` `pow-prod-down_binary64_1785`

Counts

3 → 462

Calls

3 calls:

39.0ms	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
5.0ms	(/.f64 1 (sin.f64 y))
17.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

series87.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(*.f64 x (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
20.0ms	(/.f64 1 (sin.f64 y))
23.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

simplify178.0ms

Algorithm

egg-herbie

Counts

471 → 471

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5345	9005

prune1.2s

Filtered

257 candidates to 471 candidates (-83.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	471	0	471
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	471	7	478

Merged error: 0b

Counts

478 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.2b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.2b	(cbrt.f64 (/.f64 y (sin.f64 y)))
0.2b	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64_1825`
81×	`add-sqr-sqrt_binary64_1843`
69×	`times-frac_binary64_1853`
57×	`add-cube-cbrt_binary64_1829` `*-un-lft-identity_binary64_1858`
16×	`associate-l_binary64_1918` `associate-r_binary64_1917` `swap-sqr_binary64_1885`
11×	`pow1_binary64_1804`
9×	`pow1/3_binary64_1796` `unswap-sqr_binary64_1886`
7×	`div-inv_binary64_1859` `cbrt-div_binary64_1826`
6×	`add-exp-log_binary64_1822`
4×	`add-cbrt-cube_binary64_1830` `add-log-exp_binary64_1823`
2×	`pow-sqr_binary64_1891` `pow-prod-up_binary64_1784` `pow-prod-down_binary64_1785`
1×	`pow2_binary64_1795` `cbrt-unprod_binary64_1827` `prod-exp_binary64_1809` `-commutative_binary64_1926` `pow-plus_binary64_1799` `associate-l/_binary64_1920` `associate-*r/_binary64_1919` `frac-times_binary64_1850`

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
2.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
2.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
12.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))

series556.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
122.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
122.0ms	(cbrt.f64 (/.f64 y (sin.f64 y)))
188.0ms	(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))

simplify115.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5407	3169

prune620.0ms

Filtered

131 candidates to 156 candidates (-19.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	156	7	163

Merged error: 0b

Counts

163 → 7

regimes191.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	15
1	10	15

end0.0ms

sample1.0s

Algorithm

intervals

Results

287.0ms	988×	body	1280	valid
239.0ms	5162×	body	80	valid
180.0ms	960×	body	640	valid
77.0ms	582×	body	320	valid
33.0ms	308×	body	160	valid

Details

analyze119.0ms

sample41.0ms

simplify12.0ms

prune6.0ms

localize8.0ms

rewrite12.0ms

series67.0ms

simplify82.0ms

prune261.0ms

localize10.0ms

rewrite230.0ms

series97.0ms

simplify100.0ms

prune577.0ms

localize12.0ms

rewrite98.0ms

series87.0ms

simplify178.0ms

prune1.2s

localize17.0ms

rewrite26.0ms

series556.0ms

simplify115.0ms

prune620.0ms

regimes191.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.0s

Profiling