Details

sample44.0ms

Algorithm

intervals

Results

14.0ms	258×	body	80	nan
9.0ms	258×	body	80	valid

simplify4.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	193
1	14	193
2	25	193
3	41	193
4	83	193
5	191	193
6	415	193
7	1171	193
8	3880	193
done	5000	193

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate--l+`
18×	`log-prod`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`diff-log` `associate-r`
3×	`sub-neg` `associate-l`
2×	`flip3--` `flip--`
1×	`associate--l-` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

12.0ms	(- (* x (log y)) z)
54.0ms	(- (- (* x (log y)) z) y)
8.0ms	(* x (log y))

series174.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- (* x (log y)) z)
52.0ms	(- (- (* x (log y)) z) y)
58.0ms	(* x (log y))

simplify2.6s

Counts

76 → 76

Iterations

Useful iterations: 3 (952.0ms)

Iter	Nodes	Cost
0	125	18105
1	273	16927
2	726	16685
3	3841	15992
done	5002	15992

prune294.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt y))
0.0b	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
0.3b	(* x (log (sqrt y)))
0.3b	(* x (log (sqrt y)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

54×	`log-prod`
30×	`add-sqr-sqrt`
27×	`sqrt-prod`
26×	`*-un-lft-identity` `associate--l+` `add-cube-cbrt`
24×	`distribute-rgt-in` `distribute-lft-in`
16×	`associate-+r+`
14×	`pow1`
13×	`add-log-exp`
12×	`associate-+l+` `associate-r`
9×	`add-exp-log` `log-pow`
8×	`add-cbrt-cube`
6×	`associate-l`
3×	`sum-log` `sqrt-pow1` `pow1/2` `diff-log`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate-+r-` `flip3-+` `rem-log-exp` `flip-+`

Counts

4 → 125

Calls

4 calls:

2.0ms	(log (sqrt y))
126.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
15.0ms	(* x (log (sqrt y)))
15.0ms	(* x (log (sqrt y)))

series337.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(log (sqrt y))
63.0ms	(+ (* x (log (sqrt y))) (- (- (* x (log (sqrt y))) z) y))
86.0ms	(* x (log (sqrt y)))
102.0ms	(* x (log (sqrt y)))

simplify1.2s

Counts

137 → 137

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	159	43214
1	406	38198
2	1501	36864
done	5000	36674

prune803.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

14.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series954.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (cbrt y) (cbrt y))
230.0ms	(cbrt y)
259.0ms	(cbrt y)
213.0ms	(cbrt y)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	61	17134
1	138	14621
2	727	14346
done	5000	13666

prune486.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

14.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))
1.0ms	(cbrt (sqrt y))

series833.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(* (cbrt (sqrt y)) (cbrt (sqrt y)))
215.0ms	(cbrt (sqrt y))
211.0ms	(cbrt (sqrt y))
184.0ms	(cbrt (sqrt y))

simplify1.1s

Counts

110 → 110

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	78	30806
1	171	27102
2	874	26618
done	5000	25858

prune665.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	463
1	15	463
done	15	463

end0.0ms

sample1.5s

Algorithm

intervals

Results

708.0ms	8021×	body	80	valid
312.0ms	7787×	body	80	nan
1.0ms	1×	body	2560	valid
1.0ms	2×	body	1280	valid