Details

sample72.0ms

Algorithm

intervals

Results

19.0ms	257×	body	80	valid
15.0ms	265×	body	80	nan

simplify483.0ms

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	72	8
6	97	8
7	117	8
8	142	8
9	182	8
10	245	8
11	275	8
12	288	8
done	288	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.2b	(* x (log (/ x y)))
13.1b	(log (/ x y))

rewrite60.0ms

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:

31.0ms	(- (* x (log (/ x y))) z)
18.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series247.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- (* x (log (/ x y))) z)
58.0ms	(* x (log (/ x y)))
56.0ms	(log (/ x y))

simplify2.4s

Counts

126 → 126

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	215	1393
1	412	1296
2	781	1218
3	2467	1187
done	5001	1181

prune518.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt y)
271.0ms	(cbrt y)
316.0ms	(cbrt x)
301.0ms	(cbrt x)

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	46	284
1	75	268
2	148	244
3	303	232
4	759	232
5	2538	232
done	5000	232

prune438.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
4.6b	(log (/ x (cbrt y)))

rewrite28.0ms

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 y)
1.0ms	(cbrt y)
11.0ms	(* (cbrt y) (cbrt y))
5.0ms	(log (/ x (cbrt y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

329.0ms	(cbrt y)
327.0ms	(cbrt y)
346.0ms	(* (cbrt y) (cbrt y))
211.0ms	(log (/ x (cbrt y)))

simplify1.9s

Counts

115 → 115

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	161	909
1	310	771
2	705	734
3	1988	706
done	5000	700

prune623.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 58

Calls

4 calls:

3.0ms	(cbrt (cbrt y))
3.0ms	(cbrt (cbrt y))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.6s

Counts

4 → 12

Calls

4 calls:

450.0ms	(cbrt (cbrt y))
476.0ms	(cbrt (cbrt y))
315.0ms	(cbrt x)
370.0ms	(cbrt x)

simplify3.7s

Counts

70 → 70

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	57	374
1	92	356
2	164	332
3	327	320
4	916	320
5	3697	320
done	5001	318

prune534.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes115.0ms

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	13	21
1	17	21
done	17	21

end0.0ms

sample1.8s

Algorithm

intervals

Results

546.0ms	8032×	body	80	valid
458.0ms	7963×	body	80	nan