Details

sample50.0ms

Algorithm

intervals

Results

15.0ms	257×	body	80	valid
10.0ms	278×	body	80	nan

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	1296
6	469
5	213
4	96
3	51
2	29
1	15
0	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

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))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
23×	`associate--l+`
22×	`*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
15×	`prod-diff`
10×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1`
5×	`add-cbrt-cube` `add-exp-log`
4×	`fma-neg` `diff-log` `associate-r`
3×	`expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
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 → 92

Calls

3 calls:

8.0ms	(- (* x (log y)) z)
47.0ms	(- (- (* x (log y)) z) y)
7.0ms	(* x (log y))

series138.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (* x (log y)) z)
38.0ms	(- (- (* x (log y)) z) y)
42.0ms	(* x (log y))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1472
1	427
0	171

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

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×	`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:

9.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series907.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt y) (cbrt y))
199.0ms	(cbrt y)
216.0ms	(cbrt y)
254.0ms	(cbrt y)

simplify1.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	725
1	142
0	65

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(* x (log (pow y 2/3)))
0.6b	(cbrt y)
6.1b	(pow y 2/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`log-prod`
23×	`add-sqr-sqrt`
19×	`*-un-lft-identity` `add-cube-cbrt`
13×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
9×	`cbrt-prod` `unpow-prod-down` `associate-r` `add-exp-log`
8×	`add-cbrt-cube`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `log-pow` `sqr-pow`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 101

Calls

4 calls:

15.0ms	(* x (log (cbrt y)))
16.0ms	(* x (log (pow y 2/3)))
1.0ms	(cbrt y)
4.0ms	(pow y 2/3)

series850.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* x (log (cbrt y)))
120.0ms	(* x (log (pow y 2/3)))
303.0ms	(cbrt y)
311.0ms	(pow y 2/3)

simplify822.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	1426
1	373
0	173

prune947.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (pow y 2/3)))
0.3b	(* x 1/3)
0.3b	(* (* x 1/3) (log y))
6.1b	(pow y 2/3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
20×	`log-prod`
17×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow1`
14×	`add-exp-log`
13×	`add-cbrt-cube`
11×	`associate-r`
10×	`distribute-rgt-in` `distribute-lft-in`
9×	`unpow-prod-down`
7×	`associate-l`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `*-commutative` `sqr-pow`
2×	`log-pow` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 101

Calls

4 calls:

9.0ms	(* x (log (pow y 2/3)))
5.0ms	(* x 1/3)
15.0ms	(* (* x 1/3) (log y))
2.0ms	(pow y 2/3)

series480.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* x (log (pow y 2/3)))
16.0ms	(* x 1/3)
75.0ms	(* (* x 1/3) (log y))
263.0ms	(pow y 2/3)

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5000
2	2008
1	408
0	173

prune739.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

451.0ms	8036×	body	80	valid
305.0ms	8183×	body	80	nan