Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	37×	body	1280	valid
9.0ms	166×	body	80	valid
8.0ms	30×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

3.0ms	(+ x (sin y))
6.0ms	(+ (+ x (sin y)) (* z (cos y)))
4.0ms	(* z (cos y))

series102.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
42.0ms	(+ (+ x (sin y)) (* z (cos y)))
35.0ms	(* z (cos y))

simplify69.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	196	244
1	694	228
2	2608	228
3	5001	228

prune119.0ms

Filtered

52 candidates to 37 candidates (71.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
5.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (* z (cos y)))
130.0ms	(cbrt (* z (cos y)))
128.0ms	(cbrt (* z (cos y)))
152.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))

simplify117.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	175	423
1	699	372
2	3609	342
3	5002	317

prune191.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (cos y))) (cbrt z))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-r`
5×	`pow1/3`
4×	`associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `unswap-sqr`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 53

Calls

4 calls:

5.0ms	(* (cbrt (* z (cos y))) (cbrt z))
2.0ms	(cbrt (* z (cos y)))
2.0ms	(cbrt (* z (cos y)))
1.0ms	(cbrt z)

series577.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (* z (cos y))) (cbrt z))
132.0ms	(cbrt (* z (cos y)))
127.0ms	(cbrt (* z (cos y)))
185.0ms	(cbrt z)

simplify71.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	189	358
1	656	330
2	2728	321
3	5002	306

prune215.0ms

Filtered

65 candidates to 53 candidates (81.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))

rewrite14.0ms

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:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(* (cbrt z) (cbrt z))

series742.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt z)
183.0ms	(cbrt z)
176.0ms	(cbrt z)
197.0ms	(* (cbrt z) (cbrt z))

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune212.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.5s

Algorithm

intervals

Results

511.0ms	5609×	body	80	valid
431.0ms	995×	body	1280	valid
213.0ms	767×	body	640	valid
80.0ms	421×	body	320	valid
30.0ms	208×	body	160	valid