Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	251×	body	80	nan

simplify153.0ms

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	88	8
7	123	8
8	149	8
9	161	8
10	170	8
11	176	8
12	178	8
done	178	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`log-prod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
5×	`pow1`
4×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `prod-diff`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- (* x (log y)) z)
41.0ms	(* x (log y))

simplify2.9s

Counts

57 → 57

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	111	494
1	215	441
2	427	401
3	1046	381
4	4480	375
done	5000	375

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

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:

5.0ms	(* x (log (cbrt y)))
13.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series543.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* x (log (cbrt y)))
97.0ms	(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
179.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify3.1s

Counts

123 → 123

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	163	1298
1	347	1053
2	974	925
3	4502	829
done	5000	829

prune438.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

169.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (cbrt y))))
92.0ms	(* x (log (cbrt y)))
181.0ms	(cbrt y)
176.0ms	(cbrt y)

simplify3.5s

Counts

82 → 82

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	102	667
1	170	642
2	372	555
3	1087	474
4	4943	467
done	5000	467

prune259.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* x (log (pow y 1/3))))
0.2b	(* x (log (pow y 1/3)))
0.5b	(cbrt y)
5.2b	(pow y 1/3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`log-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
7×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `associate-l` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (pow y 1/3))))
5.0ms	(* x (log (pow y 1/3)))
0.0ms	(cbrt y)
1.0ms	(pow y 1/3)

series779.0ms

Counts

4 → 12

Calls

4 calls:

357.0ms	(fma x (* 2 (log (cbrt y))) (* x (log (pow y 1/3))))
74.0ms	(* x (log (pow y 1/3)))
180.0ms	(cbrt y)
168.0ms	(pow y 1/3)

simplify1.5s

Counts

90 → 90

Iterations

Useful iterations: 3 (462.0ms)

Iter	Nodes	Cost
0	143	826
1	262	696
2	612	606
3	1917	516
done	5001	516

prune288.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes98.0ms

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	14	17
1	16	17
done	16	17

end0.0ms

sample805.0ms

Algorithm

intervals

Results

267.0ms	8035×	body	80	valid
188.0ms	8157×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid