Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	29×	body	1280	valid
10.0ms	209×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	114×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify114.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
8.5b	(log (/ y (+ z y)))

rewrite36.0ms

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×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
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 → 171

Calls

4 calls:

5.0ms	(/ y (+ z y))
9.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (+ z y))
225.0ms	(exp (* y (log (/ y (+ z y)))))
77.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	538	1275
1	2098	1187
2	5001	1177

prune387.0ms

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))))
8.5b	(log (/ y (+ z y)))

rewrite49.0ms

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×	`expm1-log1p-u` `pow-unpow` `pow-pow` `log1p-expm1-u` `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 → 228

Calls

4 calls:

18.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
9.0ms	(/ y (+ z y))
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series335.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
42.0ms	(/ y (+ z y))
138.0ms	(pow (exp y) (log (/ y (+ z y))))
56.0ms	(log (/ y (+ z y)))

simplify74.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	686	2318
1	2867	2267
2	5002	2230

prune709.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
17.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series824.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
182.0ms	(cbrt y)
186.0ms	(cbrt y)
280.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify145.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	377	645
1	1176	604
2	4767	583
3	5001	583

prune307.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

3.0ms

(/ (exp (* -1 z)) y)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (* -1 z)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177

prune69.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes55.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample1.4s

Algorithm

intervals

Results

353.0ms	810×	body	1280	valid
307.0ms	6421×	body	80	valid
259.0ms	995×	body	640	valid
104.0ms	3101×	body	80	nan
90.0ms	542×	body	320	valid
36.0ms	337×	body	160	valid