Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	41×	body	1280	valid
11.0ms	42×	body	640	valid
8.0ms	133×	body	80	valid
5.0ms	26×	body	320	valid
2.0ms	14×	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	(* z (cos y))
0.2b	(* x (sin y))

rewrite17.0ms

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:

8.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))
4.0ms	(* x (sin y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+ (* x (sin y)) (* z (cos y)))
6.0ms	(* z (cos y))
8.0ms	(* x (sin y))

simplify69.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

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

prune92.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos 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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify106.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune114.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (sin y))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `associate-r` `associate-l`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

4.0ms	(* x (sin y))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 2))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (sin y))
3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))
26.0ms	(cbrt (pow (cos y) 2))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (95.0ms)

Iter	Nodes	Cost
0	206	301
1	736	261
2	3102	255
3	5002	254

prune141.0ms

Filtered

50 candidates to 75 candidates (-50.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	74	10	84

Merged error: 0.0b

Counts

84 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2)))
0.4b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (pow (cos y) 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
52×	`add-sqr-sqrt`
31×	`unpow-prod-down`
25×	`unswap-sqr`
22×	`add-cube-cbrt` `*-un-lft-identity`
17×	`unpow2` `sqr-pow`
11×	`pow1` `swap-sqr` `associate-r` `associate-l`
9×	`pow1/3`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 124

Calls

4 calls:

10.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2)))
2.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (pow (cos y) 2))
2.0ms	(cbrt (pow (cos y) 2))

series103.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt (pow (cos y) 2)) (cbrt (pow (cos y) 2)))
25.0ms	(cbrt (pow (cos y) 2))
28.0ms	(cbrt (pow (cos y) 2))
26.0ms	(cbrt (pow (cos y) 2))

simplify143.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 3 (128.0ms)

Iter	Nodes	Cost
0	193	1069
1	729	902
2	4539	871
3	5001	866

prune286.0ms

Filtered

79 candidates to 136 candidates (-72.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	136	10	146

Merged error: 0.0b

Counts

146 → 10

regimes248.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	20
1	22	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

672.0ms	1515×	body	1280	valid
335.0ms	1193×	body	640	valid
279.0ms	4389×	body	80	valid
112.0ms	604×	body	320	valid
39.0ms	299×	body	160	valid

Details

sample56.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series31.0ms

simplify69.0ms

prune92.0ms

localize14.0ms

rewrite12.0ms

series78.0ms

simplify106.0ms

prune114.0ms

localize14.0ms

rewrite11.0ms

series53.0ms

simplify101.0ms

prune141.0ms

localize20.0ms

rewrite22.0ms

series103.0ms

simplify143.0ms

prune286.0ms

regimes248.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

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