Details

analyze2.5s

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 22.671978%

Guaranteed chance to sample good point: 36.160151%

sample61.0ms

Algorithm

intervals

Results

18.0ms	190×	body	80	valid
11.0ms	21×	body	1280	valid
7.0ms	23×	body	640	valid
3.0ms	11×	body	640	invalid
2.0ms	11×	body	320	valid
2.0ms	4×	body	1280	invalid
1.0ms	11×	body	160	valid
1.0ms	7×	body	320	invalid
1.0ms	7×	body	160	invalid
1.0ms	12×	body	80	nan
0.0ms	8×	body	80	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: 4.9b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
14×	`distribute-lft-out`
11×	`add-exp-log`
8×	`pow1` `associate-/r/` `add-cbrt-cube`
6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `div-inv`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `+-commutative` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 129

Calls

4 calls:

5.0ms	(/ y (+ z y))
35.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
9.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series52.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ y (+ z y))
20.0ms	(+ x (/ (exp (* y (log (/ y (+ z y))))) y))
14.0ms	(* y (log (/ y (+ z y))))
12.0ms	(log (/ y (+ z y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	412	1027
1	1668	939
2	5002	913

prune151.0ms

Filtered

90 candidates to 141 candidates (-56.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	5	142

Merged error: 0.4b

Counts

142 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
3.4b	(log (/ (cbrt y) (cbrt (+ z y))))
3.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite30.0ms

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:

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
22.0ms	(cbrt y)
28.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
24.0ms	(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

prune162.0ms

Filtered

102 candidates to 152 candidates (-49.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	152	5	157

Merged error: 0.4b

Counts

157 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
7.9b	(log (/ y (+ z y)))
7.9b	(log (/ y (+ z y)))
7.9b	(log (/ y (+ z y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
54×	`log-prod`
44×	`add-sqr-sqrt`
36×	`add-cube-cbrt` `times-frac`
24×	`cbrt-prod`
15×	`add-exp-log` `distribute-lft-out`
14×	`pow1`
12×	`cbrt-div`
9×	`flip3-+` `swap-sqr` `flip-+`
7×	`associate-r` `associate-l`
6×	`pow1/3` `rem-log-exp` `associate-/r/`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`log-div` `div-exp` `log-pow` `div-inv`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 140

Calls

4 calls:

75.0ms	(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))) (cbrt (+ x (/ (exp (* y (log (/ y (+ z y))))) y))))
12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	467	1885
1	1555	1761
2	5002	1579

prune168.0ms

Filtered

102 candidates to 152 candidates (-49.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	150	7	157

Merged error: 0.4b

Counts

157 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

7.9b	(log (/ y (+ z y)))
7.9b	(log (/ y (+ z y)))
7.9b	(log (/ y (+ z y)))
7.9b	(log (/ y (+ z y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

72×	`log-prod`
60×	`*-un-lft-identity`
48×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log`
12×	`distribute-lft-out`
8×	`pow1` `rem-log-exp` `associate-/r/`
4×	`log-div` `flip3-+` `div-exp` `log-pow` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`

Counts

4 → 116

Calls

4 calls:

6.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))
5.0ms	(log (/ y (+ z y)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(log (/ y (+ z y)))
15.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))
12.0ms	(log (/ y (+ z y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	160	808
1	336	744
2	778	712
3	2013	704
4	5001	704

prune155.0ms

Filtered

92 candidates to 128 candidates (-39.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	128	7	135

Merged error: 0.4b

Counts

135 → 7

regimes433.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	16
1	20	16

end0.0ms

analyze2.4s

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 22.671978%

Guaranteed chance to sample good point: 36.160151%

sample1.5s

Algorithm

intervals

Results

352.0ms	6079×	body	80	valid
332.0ms	656×	body	1280	valid
211.0ms	687×	body	640	valid
77.0ms	369×	body	320	valid
76.0ms	242×	body	640	invalid
46.0ms	101×	body	1280	invalid
37.0ms	179×	body	320	invalid
27.0ms	209×	body	160	valid
23.0ms	532×	body	80	nan
14.0ms	245×	body	80	invalid
13.0ms	105×	body	160	invalid

Details

analyze2.5s

sample61.0ms

simplify112.0ms

prune4.0ms

localize9.0ms

rewrite59.0ms

series52.0ms

simplify52.0ms

prune151.0ms

localize15.0ms

rewrite30.0ms

series95.0ms

simplify73.0ms

prune162.0ms

localize17.0ms

rewrite95.0ms

series110.0ms

simplify63.0ms

prune168.0ms

localize25.0ms

rewrite26.0ms

series51.0ms

simplify63.0ms

prune155.0ms

regimes433.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze2.4s

sample1.5s

Profiling