Details

sample52.0ms

Algorithm

intervals

Results

19.0ms	47×	body	1280	valid
11.0ms	44×	body	640	valid
7.0ms	139×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	10×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))
0.1b	(* x (sin y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`associate-l`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
6×	`associate-r`
5×	`add-log-exp`
4×	`distribute-lft-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 51

Calls

3 calls:

13.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series157.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(+ (* x (sin y)) (* z (cos y)))
38.0ms	(* z (cos y))
41.0ms	(* x (sin y))

simplify71.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	179	270
1	683	249
2	2067	249
3	5002	249

prune110.0ms

Filtered

60 candidates to 41 candidates (31.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 0.0b

Counts

61 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
103.0ms	(cbrt (sin y))
100.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify98.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	163	490
1	595	417
2	3517	375
3	5001	369

prune202.0ms

Filtered

88 candidates to 60 candidates (31.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (cbrt (sin y)))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 71

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (cbrt (sin y)))
7.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (sin y))
102.0ms	(cbrt (sin y))
103.0ms	(cbrt (cbrt (sin y)))
123.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify61.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	201	632
1	556	602
2	2483	558
3	5002	558

prune249.0ms

Filtered

83 candidates to 60 candidates (27.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (cbrt (sin y)))
0.6b	(cbrt (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))))
0.7b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

341×	`cbrt-prod`
180×	`add-sqr-sqrt`
85×	`unswap-sqr`
56×	`associate-l`
34×	`add-cube-cbrt` `*-un-lft-identity`
24×	`swap-sqr` `associate-r`
7×	`*-commutative`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`pow3` `rem-cbrt-cube`

Counts

4 → 173

Calls

4 calls:

2.0ms	(cbrt (cbrt (sin y)))
2.0ms	(cbrt (cbrt (sin y)))
27.0ms	(cbrt (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))))
10.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

series433.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (cbrt (sin y)))
103.0ms	(cbrt (cbrt (sin y)))
102.0ms	(cbrt (* (* (cbrt (cbrt (sin y))) (cbrt (cbrt (sin y)))) (cbrt (cbrt (sin y)))))
126.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	431	2989
1	1085	2937
2	4375	2527
3	5001	2527

prune446.0ms

Filtered

185 candidates to 101 candidates (45.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	185	9	194

Merged error: 0.0b

Counts

194 → 9

regimes169.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	29
1	25	29

end0.0ms

sample1.6s

Algorithm

intervals

Results

627.0ms	1509×	body	1280	valid
335.0ms	1299×	body	640	valid
243.0ms	4241×	body	80	valid
110.0ms	624×	body	320	valid
40.0ms	327×	body	160	valid