Details

sample45.0ms

Algorithm

intervals

Results

23.0ms

297×

body

valid

simplify61.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 29.5b

Counts

2 → 1

localize24.0ms

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) t) z)
2.0b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.3b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `*-commutative`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-/r/` `associate-/l/` `associate-/l*`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

4 → 22

Calls

4 calls:

10.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
8.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
13.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
23.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series713.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
41.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
163.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
447.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify120.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	298	342
1	953	340
2	4279	324
3	5001	324

prune162.0ms

Filtered

34 candidates to 26 candidates (76.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Merged error: 3.6b

Counts

35 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `flip-+`

Counts

2 → 6

Calls

2 calls:

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

series54.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* 1.6453555072203998 (* y b)))
20.0ms	(* 1.6453555072203998 (* y b))

simplify112.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	57	37
1	194	37
2	864	37
3	3739	37
4	5001	37

prune40.0ms

Filtered

12 candidates to 7 candidates (58.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	2	12
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	12	7	19

Merged error: 3.6b

Counts

19 → 7

localize24.0ms

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) t) z)
0.1b	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
27.5b	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
6×	`flip3-+` `flip-+`
4×	`associate-*l/` `associate-/l/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`*-commutative`

Counts

4 → 24

Calls

4 calls:

10.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
8.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
23.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
26.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

series667.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
40.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
445.0ms	(/ y (/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))
125.0ms	(/ (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771) (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))

simplify135.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	267	375
1	915	375
2	4472	364
3	5001	364

prune164.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	37	6	43

Merged error: 3.6b

Counts

43 → 6

localize31.0ms

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) t) z)
1.9b	(/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
29.4b	(* (/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))) (- (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

14×	`distribute-neg-frac`
9×	`flip3-+` `flip-+`
8×	`frac-times` `associate-*l/`
5×	`neg-mul-1`
4×	`distribute-neg-in` `frac-2neg` `clear-num` `associate-/r*` `associate-/r/`
3×	`associate-l` `*-commutative`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `div-inv`
1×	`associate-r` `distribute-rgt-neg-out`

Counts

4 → 36

Calls

4 calls:

10.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
8.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
11.0ms	(/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
24.0ms	(* (/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))) (- (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
36.0ms	(* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z)
133.0ms	(/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771)))
451.0ms	(* (/ y (- (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))) (- (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)))

simplify58.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	476	807
1	1903	801
2	5003	795

prune232.0ms

Filtered

48 candidates to 39 candidates (81.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 3.6b

Counts

54 → 6

regimes469.0ms

Accuracy

94.2% (1.4b remaining)

Error of 4.6b against oracle of 3.2b and baseline of 28.0b

bsearch266.0ms

Steps

Iters	Range		Point
9	6264205.521814494	521787013716.8479	517383397943.66113
8	-2.24680826938356e+44	-5.691950810733886e+41	-6.797700599967461e+43

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	29
1	99	29
2	110	29
3	120	29
4	128	29
5	138	29
6	145	29
7	150	29
8	150	29

end0.0ms

sample947.0ms

Algorithm

intervals

Results

629.0ms

8893×

body

valid