Details

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample87.0ms

Algorithm

intervals

Results

26.0ms	317×	body	80	invalid
21.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

prune14.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(- (* c z) (* i a))
5.2b	(* x (- (* y z) (* t a)))
5.3b	(* b (- (* c z) (* i a)))
5.6b	(* j (- (* c t) (* i y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 77

Calls

4 calls:

4.0ms	(- (* c z) (* i a))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* c z) (* i a))
19.0ms	(* x (- (* y z) (* t a)))
22.0ms	(* b (- (* c z) (* i a)))
20.0ms	(* j (- (* c t) (* i y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4977	937
1	4977	937

prune221.0ms

Filtered

62 candidates to 89 candidates (-43.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	74	15	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	15	90

Merged error: 4.8b

Counts

90 → 15

localize26.0ms

Local error

Found 4 expressions with local error:

5.6b	(* j (- (* c t) (* i y)))
8.0b	(cbrt (* b (- (* c z) (* i a))))
8.0b	(cbrt (* b (- (* c z) (* i a))))
8.0b	(cbrt (* b (- (* c z) (* i a))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 55

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
5.0ms	(cbrt (* b (- (* c z) (* i a))))
5.0ms	(cbrt (* b (- (* c z) (* i a))))
5.0ms	(cbrt (* b (- (* c z) (* i a))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (- (* c t) (* i y)))
48.0ms	(cbrt (* b (- (* c z) (* i a))))
47.0ms	(cbrt (* b (- (* c z) (* i a))))
49.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify55.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5390	816

prune193.0ms

Filtered

56 candidates to 67 candidates (-19.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	67	15	82

Merged error: 2.7b

Counts

82 → 15

localize29.0ms

Local error

Found 4 expressions with local error:

5.6b	(* j (- (* c t) (* i y)))
7.1b	(cbrt (- (* c z) (* i a)))
8.0b	(cbrt (* b (- (* c z) (* i a))))
8.0b	(cbrt (* b (- (* c z) (* i a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`pow1/3` `associate-r` `associate-l`
2×	`sub-neg`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

6.0ms	(* j (- (* c t) (* i y)))
3.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (* b (- (* c z) (* i a))))
5.0ms	(cbrt (* b (- (* c z) (* i a))))

series160.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (- (* c t) (* i y)))
44.0ms	(cbrt (- (* c z) (* i a)))
47.0ms	(cbrt (* b (- (* c z) (* i a))))
49.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5205	834

prune201.0ms

Filtered

58 candidates to 69 candidates (-19.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	69	15	84

Merged error: 2.7b

Counts

84 → 15

localize33.0ms

Local error

Found 4 expressions with local error:

5.3b	(* c (* j t))
7.1b	(cbrt (- (* c z) (* i a)))
8.0b	(cbrt (* b (- (* c z) (* i a))))
8.0b	(cbrt (* b (- (* c z) (* i a))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
5×	`cbrt-prod`
4×	`associate-*r/` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
1×	`associate-r` `*-commutative`

Counts

4 → 53

Calls

4 calls:

5.0ms	(* c (* j t))
4.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (* b (- (* c z) (* i a))))
5.0ms	(cbrt (* b (- (* c z) (* i a))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* c (* j t))
43.0ms	(cbrt (- (* c z) (* i a)))
49.0ms	(cbrt (* b (- (* c z) (* i a))))
47.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5075	687

prune91.0ms

Filtered

53 candidates to 65 candidates (-22.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	66	14	80

Merged error: 2.7b

Counts

80 → 14

regimes1.9s

Accuracy

11.4% (9.5b remaining)

Error of 11.2b against oracle of 1.7b and baseline of 12.4b

bsearch16.3s

Steps

Iters	Range		Point
4	9.618177923643448e-11	1.5631794355610879e-10	1.236677501238503e-10
8	-1.4911466699519855e-306	3.8776060725832033e-308	-1.225346124690109e-306
8	-3.055031638306388e-131	-4.475862950227428e-134	-7.607642267318081e-134
8	-2.137566353205022e+50	-4.5678293421326735e+47	-6.006212810401501e+49

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	126	224
1	126	224

end0.0ms

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample2.6s

Algorithm

intervals

Results

954.0ms	11265×	body	80	invalid
684.0ms	8000×	body	80	valid

Details

analyze2.1s

sample87.0ms

simplify4.0ms

prune14.0ms

localize20.0ms

rewrite24.0ms

series71.0ms

simplify62.0ms

prune221.0ms

localize26.0ms

rewrite22.0ms

series165.0ms

simplify55.0ms

prune193.0ms

localize29.0ms

rewrite21.0ms

series160.0ms

simplify46.0ms

prune201.0ms

localize33.0ms

rewrite20.0ms

series146.0ms

simplify45.0ms

prune91.0ms

regimes1.9s

bsearch16.3s

simplify3.0ms

end0.0ms

analyze2.1s

sample2.6s

Profiling