Details

sample85.0ms

Algorithm

intervals

Results

20.0ms	228×	body	80	valid
16.0ms	23×	body	1280	valid
14.0ms	32×	body	640	valid
7.0ms	109×	body	80	nan
5.0ms	19×	body	320	valid
2.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	343
1	18	343
2	25	343
3	44	343
4	92	343
5	215	343
6	540	343
7	1851	343
done	5002	343

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* y (log (/ y (+ z y)))))
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite103.0ms

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` `clear-num` `frac-2neg` `exp-to-pow` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `rem-exp-log`

Counts

4 → 163

Calls

4 calls:

27.0ms	(exp (* y (log (/ y (+ z y)))))
17.0ms	(/ y (+ z y))
36.0ms	(* y (log (/ y (+ z y))))
10.0ms	(log (/ y (+ z y)))

series632.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(exp (* y (log (/ y (+ z y)))))
73.0ms	(/ y (+ z y))
123.0ms	(* y (log (/ y (+ z y))))
76.0ms	(log (/ y (+ z y)))

simplify3.7s

Counts

175 → 175

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	248	68047
1	591	62375
2	1364	61423
3	4899	61303
done	5000	61303

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (exp y) (log (/ y (+ z y)))) y)
0.0b	(/ y (+ z y))
0.0b	(pow (exp y) (log (/ y (+ z y))))
7.9b	(log (/ y (+ z y)))

rewrite109.0ms

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` `associate-/r*` `flip3-+` `flip-+`
5×	`div-exp` `sqr-pow`
4×	`pow-unpow` `pow-pow` `add-log-exp`
3×	`log-div` `exp-prod`
2×	`pow-to-exp` `cbrt-undiv` `clear-num` `frac-2neg` `rem-log-exp` `pow-exp` `log-pow` `pow-sub`
1×	`associate-/l/`

Counts

4 → 220

Calls

4 calls:

55.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
17.0ms	(/ y (+ z y))
17.0ms	(pow (exp y) (log (/ y (+ z y))))
8.0ms	(log (/ y (+ z y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (pow (exp y) (log (/ y (+ z y)))) y)
75.0ms	(/ y (+ z y))
218.0ms	(pow (exp y) (log (/ y (+ z y))))
79.0ms	(log (/ y (+ z y)))

simplify2.5s

Counts

232 → 232

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	331	154690
1	718	144866
2	1965	141380
done	5003	141180

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log` `associate-/l/`
1×	`neg-sub0` `exp-neg` `pow1` `cbrt-undiv` `clear-num` `frac-2neg` `exp-diff` `div-exp` `div-inv` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

13.0ms

(/ (exp (- z)) y)

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(/ (exp (- z)) y)

simplify3.4s

Counts

32 → 32

Iterations

Useful iterations: 3 (361.0ms)

Iter	Nodes	Cost
0	64	8675
1	125	8300
2	329	8111
3	923	8031
4	3246	8031
done	5106	8031

prune149.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

-53.7% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.0b

bsearch135.0ms

Steps

Iters	Range		Point
7	2.3741151796596637e+123	4.1689082920774002e+124	3.8720995340148845e+123
9	2.23556069494463e+67	2.2987715205527013e+72	5.320319158246682e+71

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	20	965
1	26	965
done	26	965

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.2s	764×	body	1280	valid
610.0ms	6511×	body	80	valid
512.0ms	939×	body	640	valid
250.0ms	3171×	body	80	nan
203.0ms	558×	body	320	valid
57.0ms	303×	body	160	valid