Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	28×	body	1280	valid
9.0ms	177×	body	80	valid
5.0ms	21×	body	640	valid
3.0ms	20×	body	320	valid
1.0ms	10×	body	160	valid

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	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

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.0b	(+ x (cos y))
0.1b	(* z (sin 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`
3×	`associate-r` `associate-l`
2×	`diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

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

series109.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
41.0ms	(* z (sin y))

simplify77.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	198	256
1	668	240
2	2771	240
3	5001	240

prune129.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	6	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	7	54

Merged error: 0.0b

Counts

54 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.1b	(cbrt (* z (sin y)))
7.1b	(cbrt (* z (sin y)))
7.1b	(cbrt (* z (sin 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:

5.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series490.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
116.0ms	(cbrt (* z (sin y)))
117.0ms	(cbrt (* z (sin y)))
114.0ms	(cbrt (* z (sin y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	190	460
1	631	409
2	3021	358
3	5002	336

prune225.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
7.1b	(cbrt (* z (sin y)))
7.1b	(cbrt (* z (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series497.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt z)
93.0ms	(cbrt (sin y))
116.0ms	(cbrt (* z (sin y)))
120.0ms	(cbrt (* z (sin y)))

simplify153.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	157	246
1	340	224
2	1079	206
3	4922	196
4	5003	196

prune213.0ms

Filtered

52 candidates to 43 candidates (82.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	3	2	5
Picked	0	1	1
Done	1	1	2
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
7.1b	(cbrt (* z (sin y)))
7.1b	(cbrt (* z (sin y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

2.0ms	(cbrt (sin y))
8.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
3.0ms	(cbrt (* z (sin y)))
3.0ms	(cbrt (* z (sin y)))

series444.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (sin y))
116.0ms	(cbrt (* (cbrt (sin y)) (cbrt (sin y))))
114.0ms	(cbrt (* z (sin y)))
118.0ms	(cbrt (* z (sin y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	180	298
1	399	266
2	1364	241
3	5001	235

prune229.0ms

Filtered

50 candidates to 42 candidates (84.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

regimes141.0ms

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	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

410.0ms	977×	body	1280	valid
298.0ms	5617×	body	80	valid
197.0ms	803×	body	640	valid
74.0ms	411×	body	320	valid
23.0ms	191×	body	160	valid
1.0ms	1×	body	2560	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	37	5
3	43	5
4	52	5
5	66	5
6	101	5
7	166	5
8	212	5
9	236	5
10	250	5
11	270	5
12	270	5