Details

sample77.0ms

Algorithm

intervals

Results

25.0ms	830×	body	80	nan
10.0ms	256×	body	80	valid

simplify715.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (60.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	52	11
3	126	11
4	223	10
5	297	10
6	414	10
7	504	10
8	587	10
9	594	10
done	594	10

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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:

9.0ms	(- (* x (log y)) y)
55.0ms	(- (- (* x (log y)) y) z)
8.0ms	(* x (log y))

series129.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x (log y)) y)
37.0ms	(- (- (* x (log y)) y) z)
38.0ms	(* x (log y))

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	172	1162
1	367	991
2	774	877
3	2578	791
done	5000	749

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

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)
24.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series593.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (log (cbrt y)) x)
106.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
181.0ms	(cbrt y)
183.0ms	(cbrt y)

simplify1.8s

Counts

98 → 98

Iterations

Useful iterations: done (1.8s)

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

prune396.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (log (pow y 1/3)) x)
0.3b	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
0.5b	(cbrt y)
5.1b	(pow y 1/3)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

24×	`distribute-rgt-in` `associate-+l+` `log-prod` `distribute-lft-in`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-prod`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-unpow` `associate-r`
1×	`+-commutative` `pow-to-exp` `pow-pow` `fma-def` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (log (pow y 1/3)) x)
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series606.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (log (pow y 1/3)) x)
143.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (pow y 1/3)) x))
181.0ms	(cbrt y)
176.0ms	(pow y 1/3)

simplify1.2s

Counts

104 → 104

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	167	1101
1	400	885
2	1218	743
done	5000	695

prune421.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma x (* 2 (log (cbrt y))) (* (log (pow y 1/3)) x))
0.3b	(* (log (pow y 1/3)) x)
0.5b	(cbrt y)
5.1b	(pow y 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r`
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` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(fma x (* 2 (log (cbrt y))) (* (log (pow y 1/3)) x))
8.0ms	(* (log (pow y 1/3)) x)
1.0ms	(cbrt y)
3.0ms	(pow y 1/3)

series647.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(fma x (* 2 (log (cbrt y))) (* (log (pow y 1/3)) x))
106.0ms	(* (log (pow y 1/3)) x)
183.0ms	(cbrt y)
184.0ms	(pow y 1/3)

simplify1.6s

Counts

76 → 76

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	116	623
1	226	533
2	623	445
3	2213	371
done	5001	363

prune270.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	20
1	20	20
done	20	20

end0.0ms

sample2.1s

Algorithm

intervals

Results

737.0ms	23873×	body	80	nan
313.0ms	8020×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid