Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
6.0ms	274×	body	80	nan

simplify179.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	49	8
4	56	8
5	64	8
6	86	8
7	111	8
8	141	8
9	153	8
10	154	8
11	160	8
12	161	8
done	161	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite78.0ms

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-exp-log` `add-cbrt-cube`
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:

11.0ms	(- (* x (log y)) z)
55.0ms	(- (- (* x (log y)) z) y)
9.0ms	(* x (log y))

series137.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x (log y)) z)
36.0ms	(- (- (* x (log y)) z) y)
41.0ms	(* x (log y))

simplify2.5s

Counts

101 → 101

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	172	1162
1	364	991
2	762	877
3	2550	791
done	5001	749

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (log (cbrt y)) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
18×	`cbrt-prod` `add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

8.0ms	(* (log (cbrt y)) x)
25.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series591.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (log (cbrt y)) x)
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
177.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	132	968
1	321	855
2	1006	698
done	5000	596

prune316.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
0.2b	(* (log (cbrt y)) x)
0.5b	(cbrt y)
0.5b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
6×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r`
2×	`log-pow`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
9.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
4.0ms	(cbrt y)

series676.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
124.0ms	(* (log (cbrt y)) x)
184.0ms	(cbrt y)
188.0ms	(cbrt y)

simplify996.0ms

Counts

70 → 70

Iterations

Useful iterations: done (994.0ms)

Iter	Nodes	Cost
0	81	522
1	147	503
2	425	418
3	1459	353
done	5000	350

prune216.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt (pow y 2/3))
0.6b	(cbrt (cbrt y))
6.0b	(pow y 2/3)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt y)
2.0ms	(cbrt (pow y 2/3))
1.0ms	(cbrt (cbrt y))
3.0ms	(pow y 2/3)

series832.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
195.0ms	(cbrt (pow y 2/3))
256.0ms	(cbrt (cbrt y))
191.0ms	(pow y 2/3)

simplify1.5s

Counts

77 → 77

Iterations

Useful iterations: 4 (585.0ms)

Iter	Nodes	Cost
0	101	460
1	179	415
2	326	379
3	752	365
4	2683	360
done	5000	360

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample823.0ms

Algorithm

intervals

Results

214.0ms	8031×	body	80	valid
164.0ms	7935×	body	80	nan