Details

sample106.0ms

Algorithm

intervals

Results

40.0ms	839×	body	80	nan
9.0ms	176×	body	80	valid
9.0ms	30×	body	640	valid
7.0ms	12×	body	1280	valid
4.0ms	24×	body	320	valid
1.0ms	14×	body	160	valid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (log (- 1.0 y)))
0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.3b	(* x (log y))
5.2b	(log (- 1.0 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`pow1`
10×	`associate-+r+`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
6×	`associate-+l+` `associate-l` `add-log-exp`
5×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* z (log (- 1.0 y)))
8.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
5.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series239.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* z (log (- 1.0 y)))
82.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
38.0ms	(* x (log y))
48.0ms	(log (- 1.0 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	449	675
1	1570	619
2	5001	588

prune314.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* z (log 1.0)) (* x (log y))) (* 1.0 (* z y)))
0.3b	(* x (log y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`add-cube-cbrt` `log-prod` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube`
3×	`distribute-rgt-in` `distribute-lft-in` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

7.0ms	(- (+ (* z (log 1.0)) (* x (log y))) (* 1.0 (* z y)))
5.0ms	(* x (log y))

series119.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(- (+ (* z (log 1.0)) (* x (log y))) (* 1.0 (* z y)))
37.0ms	(* x (log y))

simplify120.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	219	321
1	851	282
2	3840	263
3	5001	261

prune125.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

6.0ms	(* x (log (cbrt y)))
11.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
2.0ms	(cbrt y)
1.0ms	(cbrt y)

series563.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
182.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify54.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	345	729
1	1431	634
2	5001	547

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series890.0ms

Counts

4 → 12

Calls

4 calls:

359.0ms	(cbrt y)
173.0ms	(cbrt y)
179.0ms	(cbrt y)
179.0ms	(cbrt y)

simplify129.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune297.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes217.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	14
1	28	14

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	24011×	body	80	nan
283.0ms	5595×	body	80	valid
279.0ms	935×	body	640	valid
226.0ms	378×	body	1280	valid
119.0ms	682×	body	320	valid
47.0ms	438×	body	160	valid