Details

analyze98.0ms

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

sample39.0ms

Algorithm

intervals

Results

15.0ms	30×	body	1280	valid
7.0ms	167×	body	80	valid
6.0ms	33×	body	640	valid
3.0ms	21×	body	320	valid
0.0ms	5×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

prune2.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)

series17.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (sin.f64 y) y)

simplify60.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5076	493

prune56.0ms

Filtered

50 candidates to 65 candidates (-30.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	57	8	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	8	66

Merged error: 0b

Counts

66 → 8

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))

rewrite37.0ms

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:

18.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series23.0ms

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))

simplify80.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4943	1655
1	4943	1655

prune80.0ms

Filtered

123 candidates to 185 candidates (-50.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	185	8	193

Merged error: 0b

Counts

193 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.6b	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
28×	`times-frac_binary64`
25×	`add-exp-log_binary64`
22×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
20×	`cbrt-prod_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
16.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
17.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4930	850
1	4930	850

prune51.0ms

Filtered

84 candidates to 104 candidates (-23.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sin.f64 y) x)
7.2b	(/.f64 (*.f64 (sin.f64 y) x) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

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

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 (sin.f64 y) x)
9.0ms	(/.f64 (*.f64 (sin.f64 y) x) y)

simplify73.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5472	284

prune19.0ms

Filtered

30 candidates to 45 candidates (-50.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	46	7	53

Merged error: 0b

Counts

53 → 7

regimes114.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	8
1	9	8

end0.0ms

sample965.0ms

Algorithm

intervals

Results

275.0ms	982×	body	1280	valid
233.0ms	5162×	body	80	valid
179.0ms	986×	body	640	valid
76.0ms	571×	body	320	valid
32.0ms	299×	body	160	valid

Details

analyze98.0ms

sample39.0ms

simplify7.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series17.0ms

simplify60.0ms

prune56.0ms

localize7.0ms

rewrite37.0ms

series23.0ms

simplify80.0ms

prune80.0ms

localize10.0ms

rewrite25.0ms

series68.0ms

simplify79.0ms

prune51.0ms

localize6.0ms

rewrite11.0ms

series16.0ms

simplify73.0ms

prune19.0ms

regimes114.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample965.0ms

Profiling