Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	257×	body	80	valid
6.0ms	303×	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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

12.0ms	(- (* x (log y)) z)
9.0ms	(* x (log y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(- (* x (log y)) z)
40.0ms	(* x (log y))

simplify2.9s

Counts

57 → 57

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	111	494
1	221	441
2	431	401
3	1081	381
4	4195	375
done	5000	375

prune115.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite40.0ms

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:

9.0ms	(* (log (cbrt y)) x)
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series596.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (log (cbrt y)) x)
106.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
182.0ms	(cbrt y)
180.0ms	(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

prune330.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
0.6b	(cbrt y)
5.0b	(pow (/ 1 y) -1/3)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

136×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
117×	`unpow-prod-down`
81×	`times-frac`
78×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
68×	`associate-+l+`
14×	`add-exp-log`
11×	`pow1`
9×	`add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `fma-def` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 217

Calls

4 calls:

39.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
46.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
7.0ms	(pow (/ 1 y) -1/3)

series622.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* x (* 2 (log (pow (/ 1 y) -1/3))))
178.0ms	(+ (* x (* 2 (log (pow (/ 1 y) -1/3)))) (* (log (cbrt y)) x))
181.0ms	(cbrt y)
174.0ms	(pow (/ 1 y) -1/3)

simplify1.1s

Counts

229 → 229

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	406	3853
1	985	3252
2	2132	2489
done	5000	2211

prune617.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))
0.3b	(* (log (cbrt y)) x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite12.0ms

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))
8.0ms	(* (log (cbrt y)) x)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series677.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(fma x (* 2 (log (cbrt y))) (* (log (cbrt y)) x))
124.0ms	(* (log (cbrt y)) x)
186.0ms	(cbrt y)
187.0ms	(cbrt y)

simplify986.0ms

Counts

70 → 70

Iterations

Useful iterations: done (984.0ms)

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

prune217.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes92.0ms

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

sample891.0ms

Algorithm

intervals

Results

234.0ms	8038×	body	80	valid
170.0ms	8242×	body	80	nan
0.0ms	1×	body	640	valid