Details

analyze390.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

sample41.0ms

Algorithm

intervals

Results

11.0ms	37×	body	1280	valid
8.0ms	169×	body	80	valid
5.0ms	24×	body	640	valid
3.0ms	2×	body	320	invalid
2.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	16×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	1×	body	160	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	8
1	67	8

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: 2.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
2.1b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

4.0ms	(/.f64 (sin.f64 y) y)
7.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series36.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (sin.f64 y) y)
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
17.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4952	739
1	4952	739

prune90.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (sin.f64 y) y)
0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
2.0b	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
60×	`associate-/r*_binary64`
23×	`div-inv_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
3×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 293

Calls

3 calls:

4.0ms	(/.f64 (sin.f64 y) y)
6.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
12.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (sin.f64 y) y)
16.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
19.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5253	4565

prune232.0ms

Filtered

254 candidates to 302 candidates (-18.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	302	8	310

Merged error: 0b

Counts

310 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.7b	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

2232×	`times-frac_binary64`
1095×	`add-sqr-sqrt_binary64`
1056×	`cbrt-prod_binary64`
948×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
740×	`associate-r_binary64`
282×	`add-exp-log_binary64`
138×	`cbrt-undiv_binary64` `div-exp_binary64`
134×	`add-cbrt-cube_binary64`
96×	`cbrt-unprod_binary64` `prod-exp_binary64`
36×	`unswap-sqr_binary64`
24×	`div-inv_binary64`
9×	`associate-l_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 918

Calls

4 calls:

2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
229.0ms	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))

series91.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (sin.f64 y))
19.0ms	(cbrt.f64 (sin.f64 y))
18.0ms	(cbrt.f64 (sin.f64 y))
35.0ms	(.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 x (/.f64 (cbrt.f64 z) (/.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 y)))))

simplify198.0ms

Algorithm

egg-herbie

Counts

930 → 930

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5007	34075

prune883.0ms

Filtered

830 candidates to 930 candidates (-12.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	930	0	930
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	930	8	938

Merged error: 0b

Counts

938 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (sin.f64 y) y) z)
0.1b	(/.f64 (sin.f64 y) y)
2.1b	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
43×	`associate-r_binary64`
19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `-commutative_binary64`

Counts

3 → 162

Calls

3 calls:

7.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
4.0ms	(/.f64 (sin.f64 y) y)
14.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 (/.f64 (sin.f64 y) y) z)
5.0ms	(/.f64 (sin.f64 y) y)
18.0ms	(*.f64 x (/.f64 (/.f64 (sin.f64 y) y) z))

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4974	1831
1	4974	1831

prune117.0ms

Filtered

135 candidates to 171 candidates (-26.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	171	8	179

Merged error: 0b

Counts

179 → 8

regimes347.0ms

Accuracy

46.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	44
1	26	44

end0.0ms

sample1.1s

Algorithm

intervals

Results

299.0ms	985×	body	1280	valid
249.0ms	5246×	body	80	valid
212.0ms	1027×	body	640	valid
75.0ms	485×	body	320	valid
29.0ms	537×	body	80	invalid
25.0ms	257×	body	160	valid
10.0ms	50×	body	320	invalid
8.0ms	43×	body	640	invalid
4.0ms	38×	body	160	invalid
3.0ms	12×	body	1280	invalid

Details

analyze390.0ms

sample41.0ms

simplify6.0ms

prune3.0ms

localize7.0ms

rewrite19.0ms

series36.0ms

simplify58.0ms

prune90.0ms

localize9.0ms

rewrite38.0ms

series43.0ms

simplify77.0ms

prune232.0ms

localize20.0ms

rewrite339.0ms

series91.0ms

simplify198.0ms

prune883.0ms

localize7.0ms

rewrite32.0ms

series32.0ms

simplify70.0ms

prune117.0ms

regimes347.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling