Details

sample69.0ms

Algorithm

intervals

Results

25.0ms	784×	body	80	nan
13.0ms	257×	body	80	valid

simplify866.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (30.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	124	11
4	235	10
5	333	10
6	449	10
7	627	10
8	808	10
9	847	10
done	847	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
40×	`associate--l+`
38×	`add-sqr-sqrt`
32×	`add-cube-cbrt`
27×	`log-prod` `prod-diff`
22×	`associate-+l+`
17×	`add-log-exp`
12×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
7×	`diff-log`
6×	`add-exp-log` `add-cbrt-cube`
5×	`sub-neg` `fma-def`
4×	`expm1-log1p-u` `fma-neg` `associate-r` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--`
3×	`associate-+r+` `associate-l` `sum-log` `log-pow`
2×	`flip3--` `flip--` `difference-of-squares`
1×	`+-commutative` `associate--l-` `associate-+l-` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

79.0ms	(+ (- (- (* x (log y)) y) z) (log t))
4.0ms	(- (* x (log y)) y)
24.0ms	(- (- (* x (log y)) y) z)
4.0ms	(* x (log y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (- (- (* x (log y)) y) z) (log t))
57.0ms	(- (* x (log y)) y)
32.0ms	(- (- (* x (log y)) y) z)
41.0ms	(* x (log y))

simplify729.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	220	1823
1	518	1557
2	1757	1357
done	5001	1357

prune426.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (- (fma x (- (log y)) y)) z) (log t))
0.0b	(- (- (fma x (- (log y)) y)) z)
0.1b	(fma x (- (log y)) y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity`
60×	`prod-diff`
50×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
33×	`associate-+l+`
25×	`distribute-rgt-neg-in`
21×	`distribute-lft-neg-in`
12×	`add-log-exp`
10×	`fma-neg`
8×	`distribute-lft-out--`
7×	`neg-mul-1`
6×	`pow1` `fma-def` `distribute-lft-out`
4×	`diff-log`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `log-prod` `sum-log` `log-pow` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`sub-neg` `distribute-neg-in` `neg-log` `associate--l+` `difference-of-squares`
1×	`+-commutative` `associate--l-` `neg-sub0` `associate-+l-` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

3 → 134

Calls

3 calls:

44.0ms	(+ (- (- (fma x (- (log y)) y)) z) (log t))
10.0ms	(- (- (fma x (- (log y)) y)) z)
0.0ms	(fma x (- (log y)) y)

series143.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ (- (- (fma x (- (log y)) y)) z) (log t))
34.0ms	(- (- (fma x (- (log y)) y)) z)
63.0ms	(fma x (- (log y)) y)

simplify504.0ms

Counts

143 → 143

Iterations

Useful iterations: done (498.0ms)

Iter	Nodes	Cost
0	159	2348
1	368	1863
2	1022	1479
done	5000	1346

prune360.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

6.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series741.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
187.0ms	(cbrt y)
175.0ms	(cbrt y)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (291.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune330.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
1.0ms	(cbrt (* x (log y)))
1.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series482.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
116.0ms	(cbrt (* x (log y)))
113.0ms	(cbrt (* x (log y)))
113.0ms	(cbrt (* x (log y)))

simplify1.7s

Counts

78 → 78

Iterations

Useful iterations: 3 (290.0ms)

Iter	Nodes	Cost
0	93	821
1	195	743
2	592	656
3	2338	562
done	5000	562

prune263.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes157.0ms

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	12
1	12	12
done	12	12

end0.0ms

sample2.0s

Algorithm

intervals

Results

803.0ms	24230×	body	80	nan
333.0ms	8038×	body	80	valid