Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	260×	body	80	nan

simplify102.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	15	8
2	29	8
3	47	8
4	58	8
5	66	8
6	89	8
7	127	8
8	156	8
9	160	8
done	160	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

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:

25.0ms	(- (- (* x (log y)) z) y)
4.0ms	(- (* x (log y)) z)
4.0ms	(* x (log y))

series125.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(- (- (* x (log y)) z) y)
55.0ms	(- (* x (log y)) z)
38.0ms	(* x (log y))

simplify2.1s

Counts

101 → 101

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	172	1162
1	349	991
2	1020	862
3	4241	791
done	5000	788

prune340.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

7.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series541.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* x (log (cbrt y)))
104.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
171.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify819.0ms

Counts

123 → 123

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	163	1298
1	347	1053
2	1154	937
done	5000	872

prune389.0ms

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	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
5.0ms	(* x (log (cbrt y)))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series619.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
93.0ms	(* x (log (cbrt y)))
176.0ms	(cbrt y)
180.0ms	(cbrt y)

simplify956.0ms

Counts

82 → 82

Iterations

Useful iterations: 3 (225.0ms)

Iter	Nodes	Cost
0	102	667
1	170	642
2	483	555
3	1599	474
done	5000	474

prune240.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* (* 3 x) (* -1/3 (- (log y)))) z) y)
0.0b	(- (* (* 3 x) (* -1/3 (- (log y)))) z)
0.4b	(* (* 3 x) (* -1/3 (- (log y))))
0.4b	(* -1/3 (- (log y)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod` `distribute-neg-in`
41×	`associate--l+`
39×	`distribute-rgt-in` `distribute-lft-in`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
31×	`add-cube-cbrt`
20×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
15×	`prod-diff`
13×	`associate-r`
11×	`add-log-exp`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-neg-in` `expm1-log1p-u` `distribute-rgt-neg-in` `fma-neg` `diff-log` `associate-l` `log1p-expm1-u`
3×	`sub-neg` `distribute-rgt-neg-out`
2×	`flip3--` `log-pow` `*-commutative` `flip--`
1×	`associate--l-` `neg-mul-1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

123.0ms	(- (- (* (* 3 x) (* -1/3 (- (log y)))) z) y)
16.0ms	(- (* (* 3 x) (* -1/3 (- (log y)))) z)
14.0ms	(* (* 3 x) (* -1/3 (- (log y))))
7.0ms	(* -1/3 (- (log y)))

series276.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(- (- (* (* 3 x) (* -1/3 (- (log y)))) z) y)
61.0ms	(- (* (* 3 x) (* -1/3 (- (log y)))) z)
38.0ms	(* (* 3 x) (* -1/3 (- (log y))))
144.0ms	(* -1/3 (- (log y)))

simplify824.0ms

Counts

162 → 162

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	261	2387
1	607	2107
2	2058	1457
done	5001	1454

prune365.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes72.0ms

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	7	8
1	8	8
done	8	8

end0.0ms

sample727.0ms

Algorithm

intervals

Results

233.0ms	8034×	body	80	valid
169.0ms	7990×	body	80	nan