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

sample34.0ms

Algorithm

intervals

Results

9.0ms	184×	body	80	valid
8.0ms	26×	body	1280	valid
5.0ms	27×	body	640	valid
2.0ms	16×	body	320	valid
1.0ms	21×	body	80	invalid
1.0ms	3×	body	640	invalid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	invalid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	68	12
1	68	12

prune1.0ms

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: 1.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
1.2b	(/.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:

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

series134.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
27.0ms	(/.f64 (sin.f64 y) y)
58.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5250	1158

prune58.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))
1.2b	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

7.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
7.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
10.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

series130.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
19.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
68.0ms	(/.f64 (.f64 x (.f64 (sin.f64 y) (/.f64 1 y))) z)

simplify102.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5015	1103

prune41.0ms

Filtered

54 candidates to 98 candidates (-81.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
0.9b	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
1.0b	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

58×	`times-frac_binary64`
54×	`add-exp-log_binary64`
44×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-cbrt-cube_binary64`
26×	`div-exp_binary64`
14×	`cbrt-undiv_binary64`
13×	`associate-r_binary64`
12×	`associate-/r*_binary64`
10×	`prod-exp_binary64`
9×	`associate-/l*_binary64`
8×	`div-inv_binary64`
7×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `associate-*r/_binary64` `associate-/r/_binary64`
4×	`add-log-exp_binary64` `1-exp_binary64` `rec-exp_binary64`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

4 → 147

Calls

4 calls:

6.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
8.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
6.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

series224.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
21.0ms	(/.f64 (sin.f64 y) y)
62.0ms	(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
97.0ms	(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5223	2320

prune75.0ms

Filtered

100 candidates to 159 candidates (-59.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	159	7	166

Merged error: 0b

Counts

166 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/.f64 z (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)
3.2b	(/.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:

5.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)
11.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/.f64 z (/.f64 (sin.f64 y) y))
20.0ms	(/.f64 (sin.f64 y) y)
77.0ms	(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))

simplify168.0ms

Algorithm

egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4959	7392
1	4959	7392

prune178.0ms

Filtered

254 candidates to 302 candidates (-18.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	301	1	302
Fresh	2	2	4
Picked	0	1	1
Done	1	1	2
Total	304	5	309

Merged error: 0b

Counts

309 → 5

regimes73.0ms

Accuracy

69.5% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.7b

bsearch45.0ms

Steps

Iters	Range		Point
8	2.181262825977365e-14	6.167911998233976e-10	4.748493217637233e-12
7	-415595688738106.75	-2084491937880.7488	-28100484199212.992

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	48
1	22	48

end0.0ms

sample1.1s

Algorithm

intervals

Results

283.0ms	944×	body	1280	valid
262.0ms	5258×	body	80	valid
208.0ms	1004×	body	640	valid
92.0ms	550×	body	320	valid
25.0ms	244×	body	160	valid
24.0ms	478×	body	80	invalid
9.0ms	45×	body	640	invalid
5.0ms	38×	body	320	invalid
4.0ms	37×	body	160	invalid
2.0ms	7×	body	1280	invalid

Details

analyze390.0ms

sample34.0ms

simplify16.0ms

prune1.0ms

localize7.0ms

rewrite19.0ms

series134.0ms

simplify79.0ms

prune58.0ms

localize8.0ms

rewrite28.0ms

series130.0ms

simplify102.0ms

prune41.0ms

localize8.0ms

rewrite31.0ms

series224.0ms

simplify112.0ms

prune75.0ms

localize9.0ms

rewrite38.0ms

series161.0ms

simplify168.0ms

prune178.0ms

regimes73.0ms

bsearch45.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling