Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	40×	body	1280	valid
6.0ms	156×	body	80	valid
6.0ms	30×	body	640	valid
2.0ms	18×	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

localize8.0ms

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)

series104.0ms

Counts

2 → 6

Calls

2 calls:

79.0ms	(* x (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (11.0ms)

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

prune182.0ms

Filtered

69 candidates to 52 candidates (75.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

22.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))
4.0ms	(cbrt (/ (sin y) y))

series589.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
130.0ms	(cbrt (/ (sin y) y))
133.0ms	(cbrt (/ (sin y) y))
160.0ms	(cbrt (/ (sin y) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	302	1455
1	1021	1402
2	5001	1328

prune365.0ms

Filtered

164 candidates to 134 candidates (81.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	163	1	164
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	163	8	171

Merged error: 0b

Counts

171 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (cbrt (/ (sin y) y)))
0.4b	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
0.5b	(pow (cbrt (cbrt (/ (sin y) y))) 4)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
29×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
19×	`unpow-prod-down`
10×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `div-inv`
2×	`pow-pow`
1×	`frac-times` `pow-to-exp` `associate-r/` `associate-l/` `pow-exp` `sqr-pow`

Counts

4 → 101

Calls

4 calls:

2.0ms	(cbrt (/ (sin y) y))
3.0ms	(cbrt (cbrt (/ (sin y) y)))
7.0ms	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
6.0ms	(pow (cbrt (cbrt (/ (sin y) y))) 4)

series867.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (/ (sin y) y))
211.0ms	(cbrt (cbrt (/ (sin y) y)))
239.0ms	(cbrt (* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y))))
244.0ms	(pow (cbrt (cbrt (/ (sin y) y))) 4)

simplify167.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	434	986
1	1198	926
2	4255	887
3	5001	887

prune369.0ms

Filtered

113 candidates to 95 candidates (84.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	113	8	121

Merged error: 0b

Counts

121 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))
0.5b	(cbrt (sin y))

rewrite13.0ms

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:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series424.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
107.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))
101.0ms	(cbrt (sin y))

simplify97.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	160	483
1	568	430
2	3134	398
3	5001	392

prune183.0ms

Filtered

93 candidates to 68 candidates (73.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	93	8	101

Merged error: 0b

Counts

101 → 8

regimes108.0ms

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	6	3
1	6	3

end0.0ms

sample914.0ms

Algorithm

intervals

Results

272.0ms	1012×	body	1280	valid
211.0ms	5207×	body	80	valid
167.0ms	942×	body	640	valid
68.0ms	548×	body	320	valid
35.0ms	291×	body	160	valid