Details

sample50.0ms

Algorithm

intervals

Results

14.0ms	31×	body	1280	valid
10.0ms	211×	body	80	valid
7.0ms	28×	body	640	valid
3.0ms	20×	body	320	valid
3.0ms	95×	body	80	nan
0.0ms	4×	body	160	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (28.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
8.6b	(log (/ y (+ z y)))

rewrite25.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 123

Calls

3 calls:

5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ y (+ z y))
72.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	302	874
1	1269	813
2	5001	783

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))
2.4b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite20.0ms

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×	`expm1-log1p-u` `cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 148

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))))

series482.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt y)
170.0ms	(cbrt y)
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify78.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (61.0ms)

Iter	Nodes	Cost
0	317	1502
1	772	1456
2	2370	1424
3	5002	1350

prune565.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
30.4b	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

rewrite20.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `log-pow`
2×	`div-exp`
1×	`log-div` `log-prod` `associate-*r/`

Counts

4 → 58

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
16.0ms	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
174.0ms	(cbrt y)
170.0ms	(cbrt y)
65.0ms	(log (* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ z y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	75	278
1	163	249
2	535	234
3	3110	223
4	5001	223

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
29.9b	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

rewrite66.0ms

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×	`expm1-log1p-u` `rec-exp` `1-exp` `add-cbrt-cube` `log1p-expm1-u` `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 → 78

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
58.0ms	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ z y))
126.0ms	(cbrt (+ z y))
133.0ms	(cbrt (+ z y))
83.0ms	(log (* (/ 1 (* (cbrt (+ z y)) (cbrt (+ z y)))) (/ y (cbrt (+ z y)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	196	494
1	614	442
2	2512	405
3	5002	400

prune327.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes61.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	17
1	22	17

end0.0ms

sample1.4s

Algorithm

intervals

Results

366.0ms	839×	body	1280	valid
306.0ms	6516×	body	80	valid
246.0ms	927×	body	640	valid
101.0ms	3095×	body	80	nan
99.0ms	591×	body	320	valid
33.0ms	318×	body	160	valid