Details

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample42.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
2.0ms	23×	body	80	invalid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	18
1	116	18
2	329	18
3	935	18
4	2876	18
5	5001	18

prune5.0ms

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: 29.9b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
2.4b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
29.2b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

12.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series222.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
61.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
143.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify91.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	573	1240
1	2806	1065
2	5001	1065

prune312.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 2.4b

Counts

100 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.2b	(* 1.6453555072203998 (* y b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ x (* 1.6453555072203998 (* y b)))
10.0ms	(* 1.6453555072203998 (* y b))

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* 1.6453555072203998 (* y b)))
6.0ms	(* 1.6453555072203998 (* y b))

simplify89.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	149	139
1	529	122
2	2246	122
3	5002	122

prune86.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	32	11	43

Merged error: 2.4b

Counts

43 → 11

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* 1.6453555072203998 y) b))
0.2b	(* (* 1.6453555072203998 y) b)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

2.0ms	(+ x (* (* 1.6453555072203998 y) b))
4.0ms	(* (* 1.6453555072203998 y) b)

series13.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ x (* (* 1.6453555072203998 y) b))
4.0ms	(* (* 1.6453555072203998 y) b)

simplify104.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	163	140
1	771	123
2	3811	123
3	5002	123

prune83.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	35	11	46

Merged error: 2.4b

Counts

46 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt b) (cbrt b))
0.6b	(cbrt b)
0.6b	(cbrt b)
0.6b	(cbrt b)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt b) (cbrt b))
1.0ms	(cbrt b)
1.0ms	(cbrt b)
1.0ms	(cbrt b)

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (cbrt b) (cbrt b))
21.0ms	(cbrt b)
20.0ms	(cbrt b)
23.0ms	(cbrt b)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune76.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	85	11	96

Merged error: 2.4b

Counts

96 → 11

regimes1.2s

Accuracy

93.6% (1.5b remaining)

Error of 4.5b against oracle of 3.0b and baseline of 26.2b

bsearch5.4s

Steps

Iters	Range		Point
8	1.1894543378470155e+59	3.152318326466061e+63	1.2863066892899061e+63
8	-5.707029469894279e+51	-4.691874051954944e+48	-8.278108587482499e+49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	37
1	74	37

end0.0ms

analyze2.0s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

sample1.2s

Algorithm

intervals

Results

785.0ms	8000×	body	80	valid
84.0ms	855×	body	80	invalid

Details

analyze2.1s

sample42.0ms

simplify60.0ms

prune5.0ms

localize26.0ms

rewrite67.0ms

series222.0ms

simplify91.0ms

prune312.0ms

localize8.0ms

rewrite16.0ms

series19.0ms

simplify89.0ms

prune86.0ms

localize5.0ms

rewrite7.0ms

series13.0ms

simplify104.0ms

prune83.0ms

localize9.0ms

rewrite11.0ms

series87.0ms

simplify71.0ms

prune76.0ms

regimes1.2s

bsearch5.4s

simplify2.0ms

end0.0ms

analyze2.0s

sample1.2s

Profiling