Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	214×	body	80	valid
8.0ms	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

simplify113.0ms

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: 5.0b

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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `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 → 296

Calls

4 calls:

14.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
9.0ms	(/ y (+ z y))
8.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
39.0ms	(/ y (+ z y))
81.0ms	(* y (log (/ y (+ z y))))
54.0ms	(log (/ y (+ z y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	836	3073
1	2886	2638
2	5002	2622

prune654.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

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

prune6.0ms

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)))

rewrite37.0ms

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×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u` `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 → 168

Calls

4 calls:

9.0ms	(/ y (+ z y))
9.0ms	(* y (log (/ y (+ z y))))
8.0ms	(pow (/ y (+ z y)) (/ y 2))
5.0ms	(log (/ y (+ z y)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ y (+ z y))
81.0ms	(* y (log (/ y (+ z y))))
248.0ms	(pow (/ y (+ z y)) (/ y 2))
48.0ms	(log (/ y (+ z y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	573	1247
1	2350	1179
2	5001	1173

prune604.0ms

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))))

rewrite46.0ms

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×	`expm1-log1p-u` `rem-log-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 174

Calls

4 calls:

3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
3.0ms	(cbrt (+ z y))
24.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

series480.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ z y))
138.0ms	(cbrt (+ z y))
129.0ms	(cbrt (+ z y))
81.0ms	(log (/ (/ y (* (cbrt (+ z y)) (cbrt (+ z y)))) (cbrt (+ z y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	870	2905
1	2544	2849
2	5001	2741

prune806.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

40.4% (1.0b remaining)

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

bsearch54.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	17
1	29	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

351.0ms	784×	body	1280	valid
320.0ms	6574×	body	80	valid
256.0ms	977×	body	640	valid
105.0ms	2983×	body	80	nan
97.0ms	574×	body	320	valid
33.0ms	302×	body	160	valid