Details

sample81.0ms

Algorithm

intervals

Results

16.0ms	217×	body	80	valid
16.0ms	22×	body	1280	valid
14.0ms	32×	body	640	valid
5.0ms	93×	body	80	nan
4.0ms	15×	body	320	valid
2.0ms	12×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	55	11
4	154	11
5	508	11
6	2085	11
done	5001	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
5.9b	(pow (/ y (+ z y)) y)

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`*-un-lft-identity`
90×	`unpow-prod-down`
82×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
20×	`distribute-lft-out`
17×	`add-exp-log`
12×	`associate-/r/`
8×	`add-cbrt-cube`
7×	`flip3-+` `div-exp` `associate-/r*` `flip-+` `div-inv`
6×	`add-log-exp`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 195

Calls

4 calls:

60.0ms	(/ (pow (/ y (+ z y)) y) y)
14.0ms	(/ y (+ z y))
73.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
34.0ms	(pow (/ y (+ z y)) y)

series733.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(/ (pow (/ y (+ z y)) y) y)
76.0ms	(/ y (+ z y))
112.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
344.0ms	(pow (/ y (+ z y)) y)

simplify2.0s

Counts

207 → 207

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	308	3208
1	744	2995
2	3198	2933
done	5000	2931

prune804.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(* (cbrt (+ z y)) (cbrt (+ z y)))
0.6b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.0b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
69×	`*-un-lft-identity`
61×	`unpow-prod-down`
51×	`add-sqr-sqrt`
43×	`add-cube-cbrt` `times-frac`
26×	`cbrt-div`
22×	`add-exp-log`
13×	`pow1` `flip3-+` `flip-+`
12×	`distribute-lft-out`
10×	`associate-/r/`
9×	`swap-sqr`
8×	`frac-times`
7×	`pow1/3` `associate-r` `associate-l` `pow-exp`
6×	`pow-unpow`
5×	`div-exp` `prod-exp`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `pow-pow` `pow-prod-down` `pow-sqr` `pow-prod-up` `div-inv` `sqr-pow`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Counts

4 → 166

Calls

4 calls:

1.0ms	(cbrt y)
42.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
39.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
30.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt y)
208.0ms	(* (cbrt (+ z y)) (cbrt (+ z y)))
284.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
321.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.3s

Counts

178 → 178

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	347	3119
1	1131	2857
2	4462	2689
done	5000	2688

prune884.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
3.9b	(log (/ (cbrt y) (cbrt (+ z y))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `cbrt-div` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 152

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
29.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
18.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

series1.0s

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt y)
293.0ms	(cbrt y)
400.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
106.0ms	(log (/ (cbrt y) (cbrt (+ z y))))

simplify1.4s

Counts

164 → 164

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	280	2535
1	809	2362
2	2521	2286
done	5000	2280

prune887.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
5.9b	(pow (/ y (+ z y)) y)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(pow (/ y (+ z y)) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

286.0ms	(cbrt x)
267.0ms	(cbrt x)
291.0ms	(cbrt x)
331.0ms	(pow (/ y (+ z y)) y)

simplify929.0ms

Counts

86 → 86

Iterations

Useful iterations: done (925.0ms)

Iter	Nodes	Cost
0	140	741
1	417	691
2	1390	664
done	5001	650

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes144.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.2b and baseline of 0.9b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	6529×	body	80	valid
606.0ms	803×	body	1280	valid
412.0ms	918×	body	640	valid
276.0ms	3077×	body	80	nan
248.0ms	552×	body	320	valid
53.0ms	277×	body	160	valid