Details

analyze400.0ms

Algorithm: search

sample40.0ms

Algorithm

intervals

Results

10.0ms	33×	body	1280	valid
8.0ms	159×	body	80	valid
6.0ms	29×	body	640	valid
3.0ms	20×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	3×	body	320	invalid
0.0ms	2×	body	640	invalid
0.0ms	2×	body	160	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune3.0ms

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: 2.9b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
2.9b	(/ (* x (/ (sin y) y)) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

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

series28.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	487
1	1643	420
2	5002	420

prune108.0ms

Filtered

66 candidates to 92 candidates (-39.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	84	8	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (/ (sin y) y) z)
0.1b	(/ (sin y) y)
1.9b	(* x (/ (/ (sin y) y) z))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

153×	`times-frac`
98×	`add-sqr-sqrt`
89×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/l*`
10×	`div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
3×	`associate-l` `prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/`

Counts

3 → 162

Calls

3 calls:

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

series25.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (/ (sin y) y) z)
4.0ms	(/ (sin y) y)
14.0ms	(* x (/ (/ (sin y) y) z))

simplify71.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	605	1176
1	2862	1100
2	5001	1100

prune183.0ms

Filtered

136 candidates to 171 candidates (-25.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	168	3	171
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	170	9	179

Merged error: 0b

Counts

179 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x (* (cbrt (/ (/ (sin y) y) z)) (cbrt (/ (/ (sin y) y) z))))
6.5b	(cbrt (/ (/ (sin y) y) z))
6.5b	(cbrt (/ (/ (sin y) y) z))
6.5b	(cbrt (/ (/ (sin y) y) z))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`cbrt-prod`
111×	`add-sqr-sqrt`
110×	`add-cube-cbrt` `*-un-lft-identity`
12×	`div-inv`
9×	`pow1` `add-exp-log`
7×	`cbrt-div` `add-cbrt-cube`
4×	`associate-*r/` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

20.0ms	(* x (* (cbrt (/ (/ (sin y) y) z)) (cbrt (/ (/ (sin y) y) z))))
5.0ms	(cbrt (/ (/ (sin y) y) z))
5.0ms	(cbrt (/ (/ (sin y) y) z))
5.0ms	(cbrt (/ (/ (sin y) y) z))

series103.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (* (cbrt (/ (/ (sin y) y) z)) (cbrt (/ (/ (sin y) y) z))))
24.0ms	(cbrt (/ (/ (sin y) y) z))
20.0ms	(cbrt (/ (/ (sin y) y) z))
21.0ms	(cbrt (/ (/ (sin y) y) z))

simplify58.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	527	2173
1	1574	2094
2	5001	2067

prune218.0ms

Filtered

164 candidates to 190 candidates (-15.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	190	9	199

Merged error: 0b

Counts

199 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
2.1b	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
110×	`add-sqr-sqrt`
82×	`associate-r`
78×	`add-cube-cbrt` `*-un-lft-identity`
52×	`cbrt-prod`
40×	`add-exp-log`
28×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
12×	`prod-exp` `cbrt-unprod`
10×	`unswap-sqr`
8×	`div-inv`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 162

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
32.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
24.0ms	(cbrt z)
21.0ms	(cbrt z)
19.0ms	(* (/ x (* (cbrt z) (cbrt z))) (/ (/ (sin y) y) (cbrt z)))

simplify40.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1037	1834
1	5002	1671

prune148.0ms

Filtered

145 candidates to 174 candidates (-20.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	174	9	183

Merged error: 0b

Counts

183 → 9

regimes438.0ms

Accuracy

80.7% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	22
1	32	22

end0.0ms

analyze399.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

323.0ms	1025×	body	1280	valid
261.0ms	5258×	body	80	valid
207.0ms	960×	body	640	valid
79.0ms	508×	body	320	valid
33.0ms	249×	body	160	valid
31.0ms	536×	body	80	invalid
10.0ms	47×	body	640	invalid
7.0ms	49×	body	320	invalid
4.0ms	14×	body	1280	invalid
3.0ms	25×	body	160	invalid

Details

analyze400.0ms

sample40.0ms

simplify8.0ms

prune3.0ms

localize10.0ms

rewrite18.0ms

series28.0ms

simplify45.0ms

prune108.0ms

localize7.0ms

rewrite32.0ms

series25.0ms

simplify71.0ms

prune183.0ms

localize12.0ms

rewrite45.0ms

series103.0ms

simplify58.0ms

prune218.0ms

localize11.0ms

rewrite43.0ms

series85.0ms

simplify40.0ms

prune148.0ms

regimes438.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze399.0ms

sample1.2s

Profiling