Details

analyze2.0s

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

sample97.0ms

Algorithm

intervals

Results

37.0ms	403×	body	80	invalid
20.0ms	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

prune12.0ms

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: 11.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
2.8b	(* b (- (* c z) (* i a)))
4.5b	(* j (- (* c t) (* i y)))
5.5b	(* x (- (* y z) (* t a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

7.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
5.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* x (- (* y z) (* t a)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
18.0ms	(* b (- (* c z) (* i a)))
17.0ms	(* j (- (* c t) (* i y)))
20.0ms	(* x (- (* y z) (* t a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5131	1551

prune251.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	79	18	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	18	98

Merged error: 3.2b

Counts

98 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

2.8b	(* b (- (* c z) (* i a)))
3.3b	(* t (* j c))
5.3b	(* y (* j (neg i)))
5.5b	(* x (- (* y z) (* t a)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* t (* j c))
5.0ms	(* y (* j (neg i)))
6.0ms	(* x (- (* y z) (* t a)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* t (* j c))
6.0ms	(* y (* j (neg i)))
18.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5087	786

prune199.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	15	17
Picked	0	1	1
Done	0	0	0
Total	93	18	111

Merged error: 2.9b

Counts

111 → 18

localize27.0ms

Local error

Found 4 expressions with local error:

5.5b	(* x (- (* y z) (* t a)))
16.8b	(cbrt (* y (* j (neg i))))
16.8b	(cbrt (* y (* j (neg i))))
16.8b	(cbrt (* y (* j (neg i))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 49

Calls

4 calls:

7.0ms	(* x (- (* y z) (* t a)))
4.0ms	(cbrt (* y (* j (neg i))))
4.0ms	(cbrt (* y (* j (neg i))))
4.0ms	(cbrt (* y (* j (neg i))))

series88.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (- (* y z) (* t a)))
23.0ms	(cbrt (* y (* j (neg i))))
23.0ms	(cbrt (* y (* j (neg i))))
23.0ms	(cbrt (* y (* j (neg i))))

simplify42.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4931	549
1	4931	549

prune169.0ms

Filtered

44 candidates to 61 candidates (-38.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	15	16
Picked	1	0	1
Done	0	1	1
Total	61	18	79

Merged error: 1.3b

Counts

79 → 18

localize32.0ms

Local error

Found 4 expressions with local error:

6.5b	(* y (* x z))
16.8b	(cbrt (* y (* j (neg i))))
16.8b	(cbrt (* y (* j (neg i))))
16.8b	(cbrt (* y (* j (neg i))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

5.0ms	(* y (* x z))
4.0ms	(cbrt (* y (* j (neg i))))
5.0ms	(cbrt (* y (* j (neg i))))
4.0ms	(cbrt (* y (* j (neg i))))

series79.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* y (* x z))
24.0ms	(cbrt (* y (* j (neg i))))
27.0ms	(cbrt (* y (* j (neg i))))
23.0ms	(cbrt (* y (* j (neg i))))

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4929	402
1	4929	402

prune55.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	15	16
Picked	0	1	1
Done	0	1	1
Total	56	19	75

Merged error: 1.2b

Counts

75 → 19

regimes2.1s

Accuracy

30.3% (7.5b remaining)

Error of 9.7b against oracle of 2.3b and baseline of 13.0b

bsearch18.1s

Steps

Iters	Range		Point
8	8.323669233488438e+65	1.973051284973943e+69	1.267274235829449e+67
11	9153847297.122961	1.7386312734002184e+32	2.230282175368901e+17
7	1.6813358588571944e-201	2.774050721873827e-200	1.248882996225337e-200
6	-5.3767646669904795e-117	-7.350232956705038e-118	-2.9718115010060953e-117

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	122	216
1	122	216

end0.0ms

analyze2.2s

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

922.0ms	11056×	body	80	invalid
697.0ms	8000×	body	80	valid

Details

analyze2.0s

sample97.0ms

simplify4.0ms

prune12.0ms

localize20.0ms

rewrite26.0ms

series128.0ms

simplify42.0ms

prune251.0ms

localize25.0ms

rewrite23.0ms

series52.0ms

simplify51.0ms

prune199.0ms

localize27.0ms

rewrite20.0ms

series88.0ms

simplify42.0ms

prune169.0ms

localize32.0ms

rewrite19.0ms

series79.0ms

simplify41.0ms

prune55.0ms

regimes2.1s

bsearch18.1s

simplify2.0ms

end0.0ms

analyze2.2s

sample2.6s

Profiling