Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	189×	body	80	valid
5.0ms	19×	body	1280	valid
4.0ms	24×	body	640	valid
2.0ms	16×	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

localize6.0ms

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)

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* x (/ (sin y) y))
26.0ms	(/ (sin y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (7.0ms)

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

prune128.0ms

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: 0.0b

Counts

70 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (* (sin y) (/ 1 y)))
0.3b	(* (sin y) (/ 1 y))

rewrite20.0ms

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:

10.0ms	(* x (* (sin y) (/ 1 y)))
7.0ms	(* (sin y) (/ 1 y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (* (sin y) (/ 1 y)))
26.0ms	(* (sin y) (/ 1 y))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (51.0ms)

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

prune107.0ms

Filtered

70 candidates to 46 candidates (65.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 152

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
5.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
12.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

series641.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (/ (sin y) y))
131.0ms	(cbrt (/ (sin y) y))
198.0ms	(cbrt (/ (sin y) y))
181.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	302	1455
1	1029	1402
2	5001	1328

prune379.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	163	9	172

Merged error: 0b

Counts

172 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series776.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt x) (cbrt x))
212.0ms	(cbrt x)
181.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify86.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune174.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	93	9	102

Merged error: 0b

Counts

102 → 9

regimes322.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample873.0ms

Algorithm

intervals

Results

238.0ms	906×	body	1280	valid
214.0ms	5191×	body	80	valid
172.0ms	985×	body	640	valid
71.0ms	583×	body	320	valid
29.0ms	335×	body	160	valid