Details

analyze85.0ms

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

sample31.0ms

Algorithm

intervals

Results

7.0ms	170×	body	80	valid
7.0ms	24×	body	1280	valid
6.0ms	34×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	7×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

prune3.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series24.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (sin.f64 y) y)

simplify52.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5076	493

prune78.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	56	9	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	10	66

Merged error: 0b

Counts

66 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 176

Calls

3 calls:

16.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
9.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series24.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

simplify67.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	1655
1	4943	1655

prune126.0ms

Filtered

120 candidates to 185 candidates (-54.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	187	8	195

Merged error: 0b

Counts

195 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))
0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod_binary64`
81×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
57×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `div-inv_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 144

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
3.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

series108.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
23.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
27.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))
24.0ms	(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify61.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4980	1667
1	4980	1667

prune125.0ms

Filtered

123 candidates to 156 candidates (-26.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	156	8	164

Merged error: 0b

Counts

164 → 8

localize10.0ms

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)

rewrite11.0ms

Algorithm

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:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series77.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
18.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
20.0ms	(cbrt.f64 y)

simplify45.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune64.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Merged error: 0b

Counts

93 → 8

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	6
1	6	6

end0.0ms

sample926.0ms

Algorithm

intervals

Results

265.0ms	943×	body	1280	valid
219.0ms	5133×	body	80	valid
180.0ms	1024×	body	640	valid
78.0ms	604×	body	320	valid
26.0ms	296×	body	160	valid

Details

analyze85.0ms

sample31.0ms

simplify6.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series24.0ms

simplify52.0ms

prune78.0ms

localize7.0ms

rewrite36.0ms

series24.0ms

simplify67.0ms

prune126.0ms

localize9.0ms

rewrite27.0ms

series108.0ms

simplify61.0ms

prune125.0ms

localize10.0ms

rewrite11.0ms

series77.0ms

simplify45.0ms

prune64.0ms

regimes176.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample926.0ms

Profiling