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

sample98.0ms

Algorithm

intervals

Results

28.0ms	346×	body	80	invalid
26.0ms	256×	body	80	valid

simplify253.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (251.0ms)

Iter	Nodes	Cost
0	4955	29
1	4955	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: 11.0b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
4.4b	(* x (- (* y z) (* t a)))
4.5b	(* j (- (* c t) (* i y)))
5.5b	(* b (- (* c z) (* i a)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

12.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))
7.0ms	(* b (- (* c z) (* i a)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
21.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* j (- (* c t) (* i y)))
18.0ms	(* b (- (* c z) (* i a)))

simplify64.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5041	3315

prune316.0ms

Filtered

85 candidates to 108 candidates (-27.1%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	88	20	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	20	109

Merged error: 3.6b

Counts

109 → 20

localize24.0ms

Local error

Found 4 expressions with local error:

4.4b	(* x (- (* y z) (* t a)))
5.3b	(* c (* j t))
5.5b	(* b (- (* c z) (* i a)))
6.3b	(* i (* j y))

rewrite24.0ms

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` `flip--` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify48.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4974	762
1	4974	762

prune457.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	93	19	112

Merged error: 2.4b

Counts

112 → 19

localize22.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* j c) t)
4.4b	(* x (- (* y z) (* t a)))
5.5b	(* b (- (* c z) (* i a)))
6.3b	(* i (* j y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* j c) t)
20.0ms	(* x (- (* y z) (* t a)))
18.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* i (* j y))

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4996	763
1	4996	763

prune212.0ms

Filtered

62 candidates to 92 candidates (-48.4%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	18	18
Picked	0	1	1
Done	0	0	0
Total	92	19	111

Merged error: 2.4b

Counts

111 → 19

localize27.0ms

Local error

Found 4 expressions with local error:

5.3b	(* c (* j t))
5.5b	(* b (* c z))
5.8b	(* i (* a (neg b)))
6.3b	(* i (* j y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`
2×	`distribute-rgt-neg-out`

Counts

4 → 73

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify55.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4959	492
1	4959	492

prune89.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	3	14	17
Picked	1	0	1
Done	0	1	1
Total	88	16	104

Merged error: 1.0b

Counts

104 → 16

regimes1.8s

Accuracy

16.4% (9.9b remaining)

Error of 10.7b against oracle of 0.8b and baseline of 12.6b

bsearch116.0ms

Steps

Iters	Range		Point
8	1.89483689118142e+111	6.091450038582227e+114	5.080151873826157e+111
7	-70524.81174429815	-1377.726830092849	-2770.500932869538

simplify16.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	1051	75
1	1051	75

end0.0ms

sample2.6s

Algorithm

intervals

Results

897.0ms	10621×	body	80	invalid
688.0ms	8000×	body	80	valid

Details

analyze2.0s

sample98.0ms

simplify253.0ms

prune14.0ms

localize26.0ms

rewrite35.0ms

series321.0ms

simplify64.0ms

prune316.0ms

localize24.0ms

rewrite24.0ms

series47.0ms

simplify48.0ms

prune457.0ms

localize22.0ms

rewrite24.0ms

series49.0ms

simplify45.0ms

prune212.0ms

localize27.0ms

rewrite21.0ms

series23.0ms

simplify55.0ms

prune89.0ms

regimes1.8s

bsearch116.0ms

simplify16.0ms

end0.0ms

sample2.6s

Profiling