Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	260×	body	80	valid
11.0ms	274×	body	80	nan

simplify461.0ms

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: 16.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
16.5b	(log (/ x y))

rewrite55.0ms

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:

16.0ms	(- (* x (log (/ x y))) z)
27.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series246.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* x (log (/ x y))) z)
97.0ms	(* x (log (/ x y)))
47.0ms	(log (/ x y))

simplify2.6s

Counts

126 → 126

Iterations

Useful iterations: done (2.6s)

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

prune434.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

307.0ms	(cbrt y)
327.0ms	(cbrt y)
289.0ms	(cbrt x)
306.0ms	(cbrt x)

simplify1.9s

Counts

64 → 64

Iterations

Useful iterations: 3 (91.0ms)

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

prune311.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
4.8b	(log (/ x (cbrt y)))

rewrite22.0ms

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)
12.0ms	(* (cbrt y) (cbrt y))
5.0ms	(log (/ x (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

269.0ms	(cbrt y)
305.0ms	(cbrt y)
348.0ms	(* (cbrt y) (cbrt y))
196.0ms	(log (/ x (cbrt y)))

simplify2.0s

Counts

115 → 115

Iterations

Useful iterations: done (2.0s)

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

prune657.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.8b	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite20.0ms

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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.4s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt x)
733.0ms	(cbrt x)
294.0ms	(cbrt x)
159.0ms	(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify2.8s

Counts

72 → 72

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	75	539
1	139	515
2	286	410
3	744	376
4	2885	373
done	5000	370

prune396.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	19
1	15	19
done	15	19

end0.0ms

sample1.7s

Algorithm

intervals

Results

454.0ms	8042×	body	80	valid
402.0ms	8324×	body	80	nan