Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	215×	body	80	valid
8.0ms	31×	body	640	valid
8.0ms	19×	body	1280	valid
3.0ms	97×	body	80	nan
2.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.1b	(log (/ y (+ z y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

11.0ms	(/ y (+ z y))
23.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ y (+ z y))
72.0ms	(* y (log (/ y (+ z y))))
43.0ms	(log (/ y (+ z y)))

simplify106.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	293	850
1	1242	789
2	4852	759
3	5002	759

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(log (/ (cbrt y) (cbrt (+ z y))))
3.1b	(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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt y)
168.0ms	(cbrt y)
67.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
65.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	310	1470
1	757	1424
2	2327	1392
3	5001	1324

prune532.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
32.8b	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
10×	`pow1`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`prod-exp`
5×	`rem-log-exp`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `log-pow`
2×	`div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
34.0ms	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

series575.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt y)
169.0ms	(cbrt y)
177.0ms	(cbrt y)
60.0ms	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

simplify91.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (87.0ms)

Iter	Nodes	Cost
0	71	248
1	159	219
2	519	204
3	2968	194
4	5001	182

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
0.5b	(cbrt (+ z y))
33.3b	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
20×	`prod-exp`
15×	`div-exp` `rem-log-exp`
13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`rec-exp` `1-exp` `add-cbrt-cube` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
2×	`log-pow`
1×	`frac-times` `log-prod` `associate-r/` `pow-prod-down` `associate-l/`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
4.0ms	(cbrt (+ z y))
97.0ms	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ z y))
117.0ms	(cbrt (+ z y))
129.0ms	(cbrt (+ z y))
78.0ms	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	188	452
1	578	403
2	2384	366
3	5001	362

prune297.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.1b

regimes58.0ms

Accuracy

0% (0.7b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

330.0ms	780×	body	1280	valid
287.0ms	6484×	body	80	valid
231.0ms	915×	body	640	valid
99.0ms	3020×	body	80	nan
92.0ms	561×	body	320	valid
32.0ms	323×	body	160	valid