Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	259×	body	80	valid
8.0ms	238×	body	80	nan

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	18	8
3	25	8
4	45	8
5	84	8
6	125	8
7	169	8
8	261	8
9	591	8
10	2042	8
done	5000	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
13.5b	(log (/ x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
43×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`expm1-log1p-u` `associate-l` `prod-diff` `log1p-expm1-u`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `fma-neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

15.0ms	(- (* x (log (/ x y))) z)
14.0ms	(* x (log (/ x y)))
5.0ms	(log (/ x y))

series220.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(- (* x (log (/ x y))) z)
53.0ms	(* x (log (/ x y)))
76.0ms	(log (/ x y))

simplify1.5s

Counts

126 → 126

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	215	1393
1	500	1299
2	1513	1223
done	5001	1219

prune704.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))
4.3b	(log (/ (cbrt x) y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`cbrt-prod`
27×	`add-cube-cbrt` `*-un-lft-identity`
22×	`log-prod`
18×	`times-frac`
12×	`pow1`
9×	`add-exp-log`
8×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`rem-log-exp` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `log-div` `pow-plus` `div-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
22.0ms	(* (cbrt x) (cbrt x))
8.0ms	(log (/ (cbrt x) y))

series1.0s

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt x)
311.0ms	(cbrt x)
298.0ms	(* (cbrt x) (cbrt x))
169.0ms	(log (/ (cbrt x) y))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	152	904
1	311	762
2	1535	730
done	5000	719

prune574.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt y) (cbrt y))
284.0ms	(cbrt y)
236.0ms	(cbrt y)
298.0ms	(cbrt y)

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	65	554
1	143	443
2	719	423
done	5000	409

prune615.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
4.6b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `log-prod` `rem-log-exp`
4×	`expm1-log1p-u` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `times-frac` `log-pow` `div-inv`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
7.0ms	(cbrt y)
13.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series911.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt y)
269.0ms	(cbrt y)
260.0ms	(cbrt y)
123.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify727.0ms

Counts

72 → 72

Iterations

Useful iterations: done (724.0ms)

Iter	Nodes	Cost
0	75	539
1	144	515
2	345	418
3	1230	376
done	5001	373

prune518.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes320.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	17	28
done	17	28

end0.0ms

sample1.7s

Algorithm

intervals

Results

468.0ms	8032×	body	80	valid
397.0ms	7933×	body	80	nan