Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	214×	body	80	valid
9.0ms	32×	body	640	valid
8.0ms	17×	body	1280	valid
4.0ms	21×	body	320	valid
3.0ms	94×	body	80	nan
1.0ms	8×	body	160	valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 6.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.8b	(log (/ y (+ z y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`associate-r` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 288

Calls

4 calls:

15.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
8.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
38.0ms	(/ y (+ z y))
73.0ms	(* y (log (/ y (+ z y))))
51.0ms	(log (/ y (+ z y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

300 → 300

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	823	3036
1	2834	2608
2	5002	2592

prune647.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.1b	(pow (/ y (+ z y)) (/ y 2))
9.8b	(log (/ y (+ z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
69×	`times-frac`
56×	`add-sqr-sqrt`
54×	`add-cube-cbrt` `log-prod`
18×	`distribute-rgt-in` `unpow-prod-down` `distribute-lft-in`
16×	`distribute-lft-out`
14×	`add-exp-log`
13×	`pow-unpow`
10×	`associate-/r/`
9×	`pow1`
8×	`add-cbrt-cube`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`associate-r` `associate-/r*` `add-log-exp`
3×	`div-exp` `associate-l` `associate-/l*`
2×	`rem-log-exp` `pow-exp` `log-pow`
1×	`cbrt-undiv` `pow-to-exp` `log-div` `pow-pow` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

5.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
8.0ms	(pow (/ y (+ z y)) (/ y 2))
5.0ms	(log (/ y (+ z y)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ y (+ z y))
71.0ms	(* y (log (/ y (+ z y))))
231.0ms	(pow (/ y (+ z y)) (/ y 2))
52.0ms	(log (/ y (+ z y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	559	1215
1	2290	1149
2	5001	1143

prune593.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
34.5b	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`add-exp-log` `associate-r/` `associate-l/`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 166

Calls

4 calls:

3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
20.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ z y))
123.0ms	(cbrt (+ z y))
122.0ms	(cbrt (+ z y))
75.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify73.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	862	2865
1	2512	2812
2	5001	2704

prune608.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes61.0ms

Accuracy

40.4% (1.0b remaining)

Error of 1.7b against oracle of 0.7b and baseline of 2.3b

bsearch58.0ms

Steps

Iters	Range		Point
9	8.37141649570399e-178	3.6472374174305276e-171	3.602629673605234e-171

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	18
1	30	18

end0.0ms

sample1.5s

Algorithm

intervals

Results

352.0ms	784×	body	1280	valid
319.0ms	6574×	body	80	valid
264.0ms	977×	body	640	valid
108.0ms	2983×	body	80	nan
98.0ms	574×	body	320	valid
33.0ms	302×	body	160	valid