Details

sample28.0ms

Algorithm

intervals

Results

8.0ms	33×	body	1280	valid
6.0ms	171×	body	80	valid
5.0ms	31×	body	640	valid
1.0ms	13×	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)

rewrite16.0ms

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:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify32.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune126.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (/ (sin y) y))
0.0b	(expm1 (log1p (/ (sin y) y)))
0.1b	(* x (expm1 (log1p (/ (sin y) y))))
0.1b	(/ (sin y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

1.0ms	(log1p (/ (sin y) y))
1.0ms	(expm1 (log1p (/ (sin y) y)))
3.0ms	(* x (expm1 (log1p (/ (sin y) y))))
4.0ms	(/ (sin y) y)

series299.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log1p (/ (sin y) y))
156.0ms	(expm1 (log1p (/ (sin y) y)))
78.0ms	(* x (expm1 (log1p (/ (sin y) y))))
25.0ms	(/ (sin y) y)

simplify149.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (140.0ms)

Iter	Nodes	Cost
0	232	418
1	864	368
2	4325	365
3	5002	363

prune158.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Merged error: 0.0b

Counts

88 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (sin y))
9.1b	(/ (* x (sin y)) y)

rewrite10.0ms

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)

series92.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* x (sin y))
54.0ms	(/ (* x (sin y)) y)

simplify28.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (6.0ms)

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

prune73.0ms

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	0	3	3
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Merged error: 0b

Counts

54 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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)))
6.0ms	(/ y (sin y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ x (/ y (sin y)))
22.0ms	(/ y (sin y))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

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

prune179.0ms

Filtered

107 candidates to 88 candidates (82.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

regimes101.0ms

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	8	5
1	8	5

end0.0ms

sample785.0ms

Algorithm

intervals

Results

216.0ms	914×	body	1280	valid
187.0ms	5242×	body	80	valid
150.0ms	963×	body	640	valid
63.0ms	589×	body	320	valid
22.0ms	292×	body	160	valid