Details

sample52.0ms

Algorithm

intervals

Results

12.0ms	25×	body	1280	valid
10.0ms	210×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	117×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	12×	body	160	valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

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: 3.5b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
11.2b	(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×	`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)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ y (+ z y))
70.0ms	(* y (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (31.0ms)

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

prune297.0ms

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)
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
4.0b	(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)
1.0ms	(cbrt y)
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt y)
175.0ms	(cbrt y)
76.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
74.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify80.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 3 (65.0ms)

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

prune625.0ms

Pruning

3 alts after pruning (2 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) (cbrt y)))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
13.0b	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
53×	`cbrt-prod`
49×	`*-un-lft-identity` `times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `pow1/3` `log-pow` `flip-+` `div-inv`
1×	`prod-exp`

Counts

4 → 112

Calls

4 calls:

0.0ms	(cbrt y)
3.0ms	(cbrt (* (cbrt y) (cbrt y)))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

series585.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
271.0ms	(cbrt (* (cbrt y) (cbrt y)))
70.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
66.0ms	(log (/ (* (cbrt (* (cbrt y) (cbrt y))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify137.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	391	1220
1	1004	1153
2	4217	1132
3	5001	1127

prune662.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt y) (cbrt y)))
2.1b	(expm1 (log1p (cbrt (* (cbrt y) (cbrt y)))))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
32.6b	(log (/ (* (expm1 (log1p (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
50×	`cbrt-prod`
49×	`times-frac`
48×	`*-un-lft-identity`
34×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1`
5×	`rem-log-exp`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`log-div` `flip3-+` `log-pow` `flip-+` `div-inv`
1×	`expm1-log1p` `pow1/3` `prod-exp` `expm1-udef`

Counts

4 → 110

Calls

4 calls:

2.0ms	(cbrt (* (cbrt y) (cbrt y)))
0.0ms	(expm1 (log1p (cbrt (* (cbrt y) (cbrt y)))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (* (expm1 (log1p (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

series1.5s

Counts

4 → 12

Calls

4 calls:

276.0ms	(cbrt (* (cbrt y) (cbrt y)))
440.0ms	(expm1 (log1p (cbrt (* (cbrt y) (cbrt y)))))
73.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
663.0ms	(log (/ (* (expm1 (log1p (cbrt (* (cbrt y) (cbrt y))))) (cbrt (cbrt y))) (cbrt (+ z y))))

simplify154.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 3 (142.0ms)

Iter	Nodes	Cost
0	441	1312
1	1072	1226
2	4554	1204
3	5002	1199

prune723.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.2b

regimes56.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.6b and baseline of 1.2b

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

340.0ms	755×	body	1280	valid
303.0ms	6534×	body	80	valid
265.0ms	975×	body	640	valid
100.0ms	3056×	body	80	nan
95.0ms	554×	body	320	valid
33.0ms	304×	body	160	valid