Details

sample32.0ms

Algorithm

intervals

Results

9.0ms	165×	body	80	valid
8.0ms	34×	body	1280	valid
4.0ms	25×	body	640	valid
2.0ms	20×	body	320	valid
1.0ms	12×	body	160	valid

simplify8.0ms

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)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 73

Calls

2 calls:

8.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	234	358
1	1087	326
2	5002	326

prune117.0ms

Filtered

79 candidates to 58 candidates (73.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	71	8	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	8	80

Merged error: 0b

Counts

80 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 109

Calls

2 calls:

7.0ms	(/ x (/ y (sin y)))
3.0ms	(/ y (sin y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ x (/ y (sin y)))
23.0ms	(/ y (sin y))

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	377	743
1	1666	707
2	5001	706

prune185.0ms

Filtered

115 candidates to 94 candidates (81.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 71

Calls

2 calls:

8.0ms	(* (/ (sin y) y) x)
4.0ms	(/ (sin y) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (/ (sin y) y) x)
26.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	236	351
1	1142	319
2	5002	319

prune112.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 0b

Counts

84 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

136×	`times-frac`
119×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
84×	`add-cube-cbrt`
65×	`associate-r`
33×	`associate-/r*`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-*r/`
15×	`associate-l` `unswap-sqr`
14×	`associate-/l*`
12×	`associate-/r/`
11×	`div-exp`
8×	`prod-exp`
7×	`div-inv`
6×	`pow1` `cbrt-undiv` `clear-num` `un-div-inv`
5×	`*-commutative`
4×	`frac-2neg` `cbrt-unprod`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

3 → 212

Calls

3 calls:

14.0ms	(/ x (* y (/ 1 (sin y))))
4.0ms	(/ 1 (sin y))
8.0ms	(* y (/ 1 (sin y)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ x (* y (/ 1 (sin y))))
13.0ms	(/ 1 (sin y))
23.0ms	(* y (/ 1 (sin y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

221 → 221

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	663	1450
1	3111	1267
2	5001	1156

prune247.0ms

Filtered

221 candidates to 131 candidates (59.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	220	1	221
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	221	7	228

Merged error: 0b

Counts

228 → 7

regimes80.0ms

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

sample816.0ms

Algorithm

intervals

Results

235.0ms	969×	body	1280	valid
188.0ms	5209×	body	80	valid
149.0ms	968×	body	640	valid
69.0ms	558×	body	320	valid
24.0ms	296×	body	160	valid