Details

sample51.0ms

Algorithm

intervals

Results

10.0ms	228×	body	80	valid
10.0ms	22×	body	1280	valid
6.0ms	25×	body	640	valid
4.0ms	19×	body	320	valid
3.0ms	108×	body	80	nan
1.0ms	6×	body	160	valid
1.0ms	11×	body	80	overflowed

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.8b	(log (/ y (+ z y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity`
90×	`log-prod`
72×	`times-frac`
57×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
36×	`distribute-rgt-in` `distribute-lft-in` `exp-sum`
19×	`distribute-lft-out`
12×	`associate-/r/`
11×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`flip3-+` `flip-+` `div-inv` `add-log-exp`
4×	`associate-r` `associate-/r*`
3×	`associate-l` `associate-/l*`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `exp-prod` `exp-to-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

11.0ms	(/ y (+ z y))
16.0ms	(exp (* y (log (/ y (+ z y)))))
23.0ms	(* y (log (/ y (+ z y))))
6.0ms	(log (/ y (+ z y)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ y (+ z y))
202.0ms	(exp (* y (log (/ y (+ z y)))))
70.0ms	(* y (log (/ y (+ z y))))
49.0ms	(log (/ y (+ z y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	524	1242
1	2038	1155
2	5003	1146

prune352.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.1b	(pow (exp y) (log (/ y (+ z y))))
10.8b	(log (/ y (+ z y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

159×	`times-frac`
142×	`*-un-lft-identity`
108×	`log-prod`
98×	`add-sqr-sqrt` `add-cube-cbrt`
90×	`unpow-prod-up`
28×	`associate-/l*`
22×	`distribute-lft-out`
15×	`unpow-prod-down`
14×	`associate-/r/`
13×	`add-exp-log`
8×	`add-cbrt-cube` `div-inv`
7×	`pow1` `flip3-+` `associate-/r*` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`pow-unpow` `pow-pow` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 220

Calls

4 calls:

30.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
11.0ms	(/ y (+ z y))
10.0ms	(pow (exp y) (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
34.0ms	(/ y (+ z y))
130.0ms	(pow (exp y) (log (/ y (+ z y))))
43.0ms	(log (/ y (+ z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	669	2280
1	2794	2231
2	5001	2195

prune700.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(cbrt y)
10.8b	(log (/ y (+ z y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`log-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `flip3-+` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

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

series574.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
177.0ms	(cbrt y)
172.0ms	(cbrt y)
47.0ms	(log (/ y (+ z y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	187	315
1	420	293
2	1231	278
3	5002	274

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
0.0b	(/ (* 1 (pow (/ y (+ z y)) y)) y)
0.0b	(/ y (+ z y))
6.8b	(pow (/ y (+ z y)) y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
31×	`add-exp-log`
27×	`times-frac`
24×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
13×	`div-exp`
11×	`add-cbrt-cube`
8×	`prod-exp` `distribute-lft-out`
7×	`associate-/r*`
6×	`pow-exp` `add-log-exp`
5×	`pow1`
4×	`1-exp` `associate-/r/` `associate-/l*`
3×	`cbrt-undiv` `pow-to-exp` `pow-unpow` `flip3-+` `flip-+` `div-inv`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log` `cbrt-unprod` `sqr-pow`

Counts

4 → 106

Calls

4 calls:

11.0ms	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
22.0ms	(/ (* 1 (pow (/ y (+ z y)) y)) y)
11.0ms	(/ y (+ z y))
13.0ms	(pow (/ y (+ z y)) y)

series450.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (/ (* 1 (pow (/ y (+ z y)) y)) y))
124.0ms	(/ (* 1 (pow (/ y (+ z y)) y)) y)
43.0ms	(/ y (+ z y))
212.0ms	(pow (/ y (+ z y)) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	535	738
1	2330	699
2	5002	698

prune239.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

317.0ms	6907×	body	80	valid
311.0ms	719×	body	1280	valid
203.0ms	796×	body	640	valid
107.0ms	3134×	body	80	nan
79.0ms	482×	body	320	valid
32.0ms	309×	body	160	valid
25.0ms	474×	body	80	overflowed