Details

sample57.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	143×	body	80	valid
4.0ms	19×	body	320	valid
1.0ms	6×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune4.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

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

series32.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* x (sin y)) (* z (cos y)))
7.0ms	(* x (sin y))
6.0ms	(* z (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	185	250
1	702	229
2	2218	229
3	5001	229

prune90.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	46	10	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	10	57

Merged error: 0.0b

Counts

57 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series77.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms	(cbrt (sin y))
18.0ms	(cbrt (sin y))
20.0ms	(cbrt (sin y))

simplify115.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	161	512
1	596	460
2	3671	403
3	5002	397

prune113.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series91.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt x) (cbrt x))
22.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify70.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune98.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	85	10	95

Merged error: 0.0b

Counts

95 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
24.0ms	(cbrt (* z (cos y)))
22.0ms	(cbrt (* z (cos y)))
23.0ms	(cbrt (* z (cos y)))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	183	458
1	597	407
2	2879	365
3	5002	343

prune72.0ms

Filtered

53 candidates to 70 candidates (-32.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	68	12	80

Merged error: 0.0b

Counts

80 → 12

regimes246.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	10
1	15	10

end0.0ms

sample1.8s

Algorithm

intervals

Results

650.0ms	1486×	body	1280	valid
366.0ms	1318×	body	640	valid
253.0ms	4267×	body	80	valid
117.0ms	612×	body	320	valid
42.0ms	317×	body	160	valid

Details

sample57.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite13.0ms

series32.0ms

simplify69.0ms

prune90.0ms

localize13.0ms

rewrite12.0ms

series77.0ms

simplify115.0ms

prune113.0ms

localize15.0ms

rewrite10.0ms

series91.0ms

simplify70.0ms

prune98.0ms

localize12.0ms

rewrite14.0ms

series100.0ms

simplify85.0ms

prune72.0ms

regimes246.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

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