Details

analyze2.2s

Algorithm: search

sample42.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
2.0ms	26×	body	80	invalid

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune8.0ms

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: 30.7b

Counts

2 → 1

localize23.0ms

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))
28.9b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite66.0ms

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))
27.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series200.0ms

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)
48.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
135.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify74.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (14.0ms)

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

prune233.0ms

Filtered

72 candidates to 99 candidates (-37.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	9	100

Merged error: 1.9b

Counts

100 → 9

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.3b	(* 1.6453555072203998 (* y b))

rewrite8.0ms

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:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* 1.6453555072203998 (* y b)))
3.0ms	(* 1.6453555072203998 (* y b))

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

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

prune85.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	35	9	44

Merged error: 1.9b

Counts

44 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.7b	(cbrt (* 1.6453555072203998 (* y b)))
11.7b	(cbrt (* 1.6453555072203998 (* y b)))
11.7b	(cbrt (* 1.6453555072203998 (* y b)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))
4.0ms	(cbrt (* 1.6453555072203998 (* y b)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))

simplify103.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	205	465
1	734	414
2	3843	353
3	5002	348

prune165.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 1.9b

Counts

79 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
11.7b	(cbrt (* 1.6453555072203998 (* y b)))
11.7b	(cbrt (* 1.6453555072203998 (* y b)))
11.8b	(cbrt (* y b))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
3.0ms	(cbrt (* 1.6453555072203998 (* y b)))
3.0ms	(cbrt (* 1.6453555072203998 (* y b)))
2.0ms	(cbrt (* y b))

series77.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* 1.6453555072203998 (* y b))) (cbrt (* 1.6453555072203998 (* y b))))
18.0ms	(cbrt (* 1.6453555072203998 (* y b)))
17.0ms	(cbrt (* 1.6453555072203998 (* y b)))
13.0ms	(cbrt (* y b))

simplify105.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	226	448
1	759	399
2	3889	338
3	5001	327

prune115.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	70	9	79

Merged error: 1.9b

Counts

79 → 9

regimes857.0ms

Accuracy

94.8% (1.2b remaining)

Error of 4.3b against oracle of 3.1b and baseline of 26.2b

bsearch5.0s

Steps

Iters	Range		Point
6	3.9170133885070136e+52	2.3113278320273726e+53	1.401718590850385e+53
9	-1.8899132718071787e+40	-8.651226924701318e+33	-1.822698639353658e+40

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

analyze2.0s

Algorithm: search

sample1.1s

Algorithm

intervals

Results

729.0ms	8000×	body	80	valid
79.0ms	879×	body	80	invalid

Details

analyze2.2s

sample42.0ms

simplify57.0ms

prune8.0ms

localize23.0ms

rewrite66.0ms

series200.0ms

simplify74.0ms

prune233.0ms

localize5.0ms

rewrite8.0ms

series11.0ms

simplify68.0ms

prune85.0ms

localize9.0ms

rewrite18.0ms

series80.0ms

simplify103.0ms

prune165.0ms

localize13.0ms

rewrite16.0ms

series77.0ms

simplify105.0ms

prune115.0ms

regimes857.0ms

bsearch5.0s

simplify2.0ms

end0.0ms

analyze2.0s

sample1.1s

Profiling