Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	55×	body	1280	valid
11.0ms	36×	body	640	valid
7.0ms	165×	body	80	valid
5.0ms	33×	body	320	valid
3.0ms	99×	body	80	nan
2.0ms	17×	body	160	valid

simplify143.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 10.3b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.8b	(pow (/ x (+ x y)) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series284.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (+ x y))
247.0ms	(pow (/ x (+ x y)) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	320	413
1	1304	399
2	5002	398

prune134.0ms

Filtered

76 candidates to 54 candidates (71.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.5b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 124

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series899.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt x)
178.0ms	(cbrt x)
260.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
278.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	708	1370
1	2244	1300
2	5002	1271

prune355.0ms

Filtered

136 candidates to 98 candidates (72.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	136	4	140

Merged error: 0.0b

Counts

140 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (exp (* -1 y)) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

8.0ms

(/ (exp (* -1 y)) x)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(/ (exp (* -1 y)) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune57.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	32	5	37

Merged error: 0b

Counts

37 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (exp (* -1 y)) (/ 1 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`exp-neg` `mul-1-neg` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (exp (* -1 y)) (/ 1 x))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(* (exp (* -1 y)) (/ 1 x))

simplify107.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	213	238
1	835	202
2	4627	182
3	5001	182

prune60.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	43	5	48

Merged error: 0b

Counts

48 → 5

regimes68.0ms

Accuracy

87.7% (0.7b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 6.4b

bsearch97.0ms

Steps

Iters	Range		Point
8	1.3201210546183864e-08	2.1846438371975785e-05	2.1528748842950605e-05
8	-2.2189695269446732e+42	-4.496579583193972e+38	-4.10763764017422e+39

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	24
1	33	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

638.0ms	1514×	body	1280	valid
350.0ms	1426×	body	640	valid
200.0ms	4903×	body	80	valid
130.0ms	819×	body	320	valid
90.0ms	3074×	body	80	nan
51.0ms	464×	body	160	valid