Details

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 21.029663%

Guaranteed chance to sample good point: 33.62059%

Results

16.0ms	195×	body	80	valid
12.0ms	23×	body	1280	valid
7.0ms	23×	body	640	valid
3.0ms	9×	body	640	invalid
2.0ms	10×	body	320	valid
1.0ms	7×	body	320	invalid
1.0ms	22×	body	80	nan
1.0ms	5×	body	160	valid
0.0ms	7×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	2×	body	160	invalid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	109	7
4	307	7
5	777	7
6	4145	7
7	5002	7

prune4.0ms

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: 6.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
8.7b	(log (/ y (+ z y)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
49×	`*-un-lft-identity`
36×	`times-frac`
31×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out`
8×	`add-exp-log`
7×	`pow1`
6×	`associate-/r/`
5×	`add-cbrt-cube` `add-log-exp`
4×	`flip3-+` `associate-r` `flip-+`
3×	`associate-l` `div-inv`
2×	`rem-log-exp` `log-pow`
1×	`+-commutative` `log-div` `div-exp` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 96

Calls

3 calls:

33.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
13.0ms	(* y (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

simplify103.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	370	874
1	1292	795
2	4201	764
3	5001	760

prune106.0ms

Filtered

65 candidates to 105 candidates (-61.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Merged error: 1.1b

Counts

106 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series93.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
25.0ms	(cbrt y)
24.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
23.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	336	1450
1	742	1380
2	2184	1330
3	5001	1322

prune171.0ms

Filtered

102 candidates to 152 candidates (-49.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	151	4	155

Merged error: 0.2b

Counts

155 → 4

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
2.7b	(log (/ (cbrt (cbrt y)) (cbrt (cbrt (+ z y)))))
2.9b	(log (/ (cbrt y) (cbrt (+ z y))))
20.6b	(log (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (* (cbrt (+ z y)) (cbrt (+ z y))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

244×	`cbrt-prod`
160×	`log-prod`
136×	`times-frac`
123×	`*-un-lft-identity`
93×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`cbrt-div`
16×	`add-exp-log`
15×	`distribute-lft-out`
12×	`associate-/r/`
8×	`flip3-+` `flip-+`
7×	`pow1` `rem-log-exp`
4×	`frac-times` `div-exp` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `log-pow` `div-inv`
2×	`associate-r/` `associate-l/`
1×	`pow1/3` `prod-exp`

Counts

4 → 208

Calls

4 calls:

2.0ms	(cbrt (cbrt y))
11.0ms	(log (/ (cbrt (cbrt y)) (cbrt (cbrt (+ z y)))))
7.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
8.0ms	(log (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (* (cbrt (+ z y)) (cbrt (+ z y))))))

series110.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (cbrt y))
23.0ms	(log (/ (cbrt (cbrt y)) (cbrt (cbrt (+ z y)))))
23.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
33.0ms	(log (/ (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (* (cbrt (+ z y)) (cbrt (+ z y))))))

simplify67.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	854	2973
1	2009	2843
2	5002	2778

prune249.0ms

Filtered

139 candidates to 220 candidates (-58.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	220	4	224

Merged error: 0.2b

Counts

224 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* y (log (/ y (+ z y))))
0.1b	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
8.7b	(log (/ y (+ z y)))
39.9b	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`log-prod`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`cbrt-prod`
13×	`distribute-lft-out`
10×	`add-exp-log`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
7×	`add-cbrt-cube`
6×	`associate-/r/`
5×	`flip3-+` `flip-+`
4×	`cube-div` `associate-r` `add-log-exp`
3×	`pow-unpow` `associate-l` `div-inv`
2×	`cube-mult` `cbrt-div` `unpow3` `rem-log-exp` `log-pow` `sqr-pow`
1×	`pow-to-exp` `log-div` `pow-pow` `pow1/3` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

8.0ms	(* y (log (/ y (+ z y))))
34.0ms	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
5.0ms	(log (/ y (+ z y)))
32.0ms	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

series88.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* y (log (/ y (+ z y))))
41.0ms	(pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3)
11.0ms	(log (/ y (+ z y)))
22.0ms	(cbrt (pow (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) 3))

simplify68.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	540	1457
1	2345	1334
2	5002	1300

prune149.0ms

Filtered

86 candidates to 148 candidates (-72.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	148	4	152

Merged error: 0.2b

Counts

152 → 4

regimes276.0ms

Accuracy

0% (0.6b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 21.029663%

Guaranteed chance to sample good point: 33.62059%

Results

386.0ms	755×	body	1280	valid
359.0ms	5989×	body	80	valid
208.0ms	669×	body	640	valid
81.0ms	390×	body	320	valid
71.0ms	241×	body	640	invalid
45.0ms	98×	body	1280	invalid
38.0ms	180×	body	320	invalid
34.0ms	711×	body	80	nan
27.0ms	197×	body	160	valid
13.0ms	223×	body	80	invalid
12.0ms	93×	body	160	invalid

Details

sample3.2s

simplify112.0ms

prune4.0ms

localize10.0ms

rewrite50.0ms

series45.0ms

simplify103.0ms

prune106.0ms

localize17.0ms

rewrite24.0ms

series93.0ms

simplify73.0ms

prune171.0ms

localize36.0ms

rewrite40.0ms

series110.0ms

simplify67.0ms

prune249.0ms

localize16.0ms

rewrite85.0ms

series88.0ms

simplify68.0ms

prune149.0ms

regimes276.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling