Details

sample27.0ms

Algorithm

intervals

Results

6.0ms	37×	body	640	valid
6.0ms	173×	body	80	valid
5.0ms	20×	body	1280	valid
2.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	12	3
2	16	3
3	17	3
4	17	3

prune2.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 63

Calls

2 calls:

6.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (/ (sin y) y))
29.0ms	(/ (sin y) y)

simplify33.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	334
1	998	302
2	5001	302

prune121.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	62	7	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	7	70

Merged error: 0b

Counts

70 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.2b	(* (sin y) (/ 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

7.0ms	(* x (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(* x (* (sin y) (/ 1 y)))
24.0ms	(* (sin y) (/ 1 y))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	287	355
1	1261	286
2	5001	269

prune92.0ms

Filtered

70 candidates to 46 candidates (65.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 0b

Counts

77 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
8.1b	(/ (* x (sin y)) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

4.0ms	(* x (sin y))
5.0ms	(/ (* x (sin y)) y)

series88.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* x (sin y))
52.0ms	(/ (* x (sin y)) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	158	203
1	805	172
2	5001	172

prune70.0ms

Filtered

49 candidates to 35 candidates (71.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 0b

Counts

56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ x (/ y (sin y)))
0.1b	(/ y (sin y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 101

Calls

2 calls:

6.0ms	(/ x (/ y (sin y)))
3.0ms	(/ y (sin y))

series77.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ x (/ y (sin y)))
22.0ms	(/ y (sin y))

simplify48.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	371	723
1	1637	687
2	5001	686

prune171.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	107	6	113

Merged error: 0b

Counts

113 → 6

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3

end0.0ms

sample792.0ms

Algorithm

intervals

Results

237.0ms	958×	body	1280	valid
178.0ms	5201×	body	80	valid
151.0ms	968×	body	640	valid
61.0ms	565×	body	320	valid
23.0ms	308×	body	160	valid