Details

sample88.0ms

Algorithm

intervals

Results

48.0ms

538×

body

valid

simplify161.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune14.0ms

Filtered

1 candidates to 1 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: 5.7b

Counts

2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
4.2b	(* (* (* x 18.0) y) z)
5.9b	(* (* (* (* x 18.0) y) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* (* (* (* x 18.0) y) z) t)

series109.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
25.0ms	(* (* (* x 18.0) y) z)
49.0ms	(* (* (* (* x 18.0) y) z) t)

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320

prune290.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Merged error: 0.8b

Counts

95 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
4.2b	(* (* (* x 18.0) y) z)
5.9b	(* (* (* (* x 18.0) y) z) t)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
7.0ms	(* (* (* x 18.0) y) z)
10.0ms	(* (* (* (* x 18.0) y) z) t)

series110.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
19.0ms	(* (* x 18.0) y)
31.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	352	422
1	2030	319
2	5002	319

prune250.0ms

Filtered

93 candidates to 46 candidates (49.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 0.8b

Counts

100 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

5.9b	(* (* (* (* x 18.0) y) z) t)
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

10.0ms	(* (* (* (* x 18.0) y) z) t)
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series447.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* (* x 18.0) y) z) t)
139.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
130.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
135.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify51.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	319	484
1	1446	406
2	5001	394

prune333.0ms

Filtered

63 candidates to 45 candidates (71.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	62	8	70

Merged error: 0.8b

Counts

70 → 8

localize32.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))
15.1b	(cbrt (* (* (* (* x 18.0) y) z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
7.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

series544.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
142.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
133.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))
134.0ms	(cbrt (* (* (* (* x 18.0) y) z) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (41.0ms)

Iter	Nodes	Cost
0	139	424
1	416	380
2	1678	364
3	5001	356

prune299.0ms

Filtered

48 candidates to 40 candidates (83.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	48	8	56

Merged error: 0.8b

Counts

56 → 8

Details

sample88.0ms

simplify161.0ms

prune14.0ms

localize26.0ms

rewrite29.0ms

series109.0ms

simplify67.0ms

prune290.0ms

localize28.0ms

rewrite29.0ms

series110.0ms

simplify65.0ms

prune250.0ms

localize26.0ms

rewrite31.0ms

series447.0ms

simplify51.0ms

prune333.0ms

localize32.0ms

rewrite28.0ms

series544.0ms

simplify47.0ms

prune299.0ms

regimes1.2s

bsearch7.0ms

Profiling