Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	218×	body	80	valid
9.0ms	34×	body	640	valid
8.0ms	18×	body	1280	valid
4.0ms	23×	body	320	valid
3.0ms	83×	body	80	nan
1.0ms	11×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	105	11
5	245	11
6	563	11
7	1664	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.1b

localize17.0ms

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

rewrite38.0ms

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:

10.0ms	(exp (* y (log (/ y (+ z y)))))
5.0ms	(/ y (+ z y))
11.0ms	(* y (log (/ y (+ z y))))
4.0ms	(log (/ y (+ z y)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(exp (* y (log (/ y (+ z y)))))
37.0ms	(/ y (+ z y))
75.0ms	(* y (log (/ y (+ z y))))
52.0ms	(log (/ y (+ z y)))

simplify2.3s

Counts

183 → 183

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	256	2581
1	530	2283
2	1278	2160
3	3567	2094
done	5000	2094

prune423.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt (+ z y))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))
4.0b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

98×	`cbrt-prod`
96×	`log-prod`
88×	`*-un-lft-identity`
84×	`times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
14×	`distribute-lft-out`
10×	`add-exp-log`
8×	`cbrt-div`
6×	`pow1`
4×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`log-div` `pow1/3` `div-exp` `log-pow` `div-inv`

Counts

4 → 154

Calls

4 calls:

2.0ms	(cbrt (+ z y))
2.0ms	(cbrt (+ z y))
9.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
6.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series391.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ z y))
126.0ms	(cbrt (+ z y))
68.0ms	(log (/ (cbrt y) (cbrt (+ z y))))
72.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify2.0s

Counts

166 → 166

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	193	2506
1	360	2332
2	732	2242
3	1735	2166
4	4838	2162
done	5000	2162

prune620.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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` `associate-/l/`
1×	`pow1` `cbrt-undiv` `neg-sub0` `exp-neg` `expm1-log1p-u` `frac-2neg` `exp-diff` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

6.0ms

(/ (exp (- z)) y)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (- z)) y)

simplify2.0s

Counts

34 → 34

Iterations

Useful iterations: 3 (202.0ms)

Iter	Nodes	Cost
0	66	311
1	119	301
2	295	280
3	910	278
4	3410	278
done	5001	278

prune84.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ 1 (* (exp z) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log`
6×	`add-cbrt-cube`
4×	`pow1` `div-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `prod-exp` `associate-/l`
2×	`cbrt-undiv` `rec-exp` `pow-flip` `1-exp`
1×	`expm1-log1p-u` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `div-inv` `inv-pow` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify3.6s

Counts

33 → 33

Iterations

Useful iterations: 3 (221.0ms)

Iter	Nodes	Cost
0	61	265
1	137	210
2	344	182
3	890	179
4	1789	179
5	3241	179
done	5000	179

prune57.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	20	26
done	20	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

362.0ms	782×	body	1280	valid
337.0ms	6526×	body	80	valid
268.0ms	959×	body	640	valid
106.0ms	2993×	body	80	nan
92.0ms	513×	body	320	valid
35.0ms	304×	body	160	valid