Details

sample78.0ms

Algorithm

intervals

Results

23.0ms	219×	body	80	valid
14.0ms	33×	body	640	valid
13.0ms	21×	body	1280	valid
8.0ms	100×	body	80	nan
4.0ms	13×	body	320	valid
2.0ms	12×	body	160	valid

simplify115.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(exp (* y (log (/ y (+ z y)))))
0.1b	(* y (log (/ y (+ z y))))
10.1b	(log (/ y (+ z y)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

273×	`times-frac`
234×	`log-prod`
232×	`*-un-lft-identity`
180×	`exp-sum`
156×	`add-sqr-sqrt`
154×	`add-cube-cbrt`
108×	`distribute-rgt-in` `distribute-lft-in`
39×	`distribute-lft-out` `associate-/l*`
26×	`associate-/r/`
14×	`div-inv`
13×	`flip3-+` `flip-+`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u`
3×	`associate-l` `associate-/r*`
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 → 309

Calls

4 calls:

34.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
10.0ms	(exp (* y (log (/ y (+ z y)))))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
230.0ms	(exp (* y (log (/ y (+ z y)))))
78.0ms	(* y (log (/ y (+ z y))))
47.0ms	(log (/ y (+ z y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

321 → 321

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	843	3316
1	2726	2860
2	5001	2844

prune643.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.6b	(pow (exp y) (log (/ y (+ z y))))
10.1b	(log (/ y (+ z y)))

rewrite45.0ms

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:

5.0ms	(/ y (+ z y))
19.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
6.0ms	(pow (exp y) (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ y (+ z y))
100.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
144.0ms	(pow (exp y) (log (/ y (+ z y))))
53.0ms	(log (/ y (+ z y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

240 → 240

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	686	2318
1	2867	2267
2	5001	2230

prune735.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

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)

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (13.0ms)

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

prune73.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes57.0ms

Accuracy

-0.8% (1.1b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch39.0ms

Steps

Iters	Range		Point
6	1.373989927927677e-63	7.427813723742166e-63	7.336756572307091e-63

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

707.0ms	6567×	body	80	valid
523.0ms	808×	body	1280	valid
379.0ms	883×	body	640	valid
251.0ms	3099×	body	80	nan
169.0ms	550×	body	320	valid
60.0ms	290×	body	160	valid