Details

sample81.0ms

Algorithm

intervals

Results

22.0ms	206×	body	80	valid
19.0ms	32×	body	1280	valid
13.0ms	35×	body	640	valid
6.0ms	99×	body	80	nan
4.0ms	17×	body	320	valid
3.0ms	15×	body	160	valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 5.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.5b	(log (/ y (+ z y)))

rewrite24.0ms

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:

5.0ms	(/ y (+ z y))
10.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ y (+ z y))
77.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify108.0ms

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

prune277.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite19.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series504.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
180.0ms	(cbrt y)
71.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify83.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 3 (62.0ms)

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

prune555.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
4.1b	(log (/ (cbrt y) (cbrt (+ z y))))
11.7b	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

61×	`cbrt-prod` `log-prod`
51×	`*-un-lft-identity`
49×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1`
5×	`rem-log-exp`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `pow1/3` `log-pow` `flip-+` `div-inv`
1×	`prod-exp`

Counts

4 → 109

Calls

4 calls:

0.0ms	(cbrt y)
4.0ms	(cbrt (cbrt y))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
5.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

series583.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt y)
247.0ms	(cbrt (cbrt y))
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
70.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify86.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	375	1181
1	901	1118
2	2887	1099
3	5001	1058

prune556.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes139.0ms

Accuracy

86.8% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 5.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	49	78
1	52	48
2	55	48
3	55	48

end0.0ms

sample2.0s

Algorithm

intervals

Results

589.0ms	6542×	body	80	valid
443.0ms	796×	body	1280	valid
325.0ms	906×	body	640	valid
176.0ms	2985×	body	80	nan
138.0ms	527×	body	320	valid
56.0ms	328×	body	160	valid