Details

sample52.0ms

Algorithm

intervals

Results

13.0ms	255×	body	80	valid
11.0ms	269×	body	80	nan
0.0ms	1×	body	160	valid

simplify213.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

64.0ms	(- (- (* x (log y)) z) y)
15.0ms	(* x (log y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(- (- (* x (log y)) z) y)
59.0ms	(* x (log y))

simplify3.6s

Counts

74 → 74

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	149	881
1	303	773
2	615	656
3	1998	583
done	5000	547

prune235.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma x (log y) (- (* z 1))) (- 0 y))
0.2b	(fma x (log y) (- (* z 1)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`associate-+r+`
9×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
7×	`add-log-exp`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub0-neg` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `unsub-neg` `flip-+` `distribute-lft-out--`

Counts

2 → 44

Calls

2 calls:

17.0ms	(+ (fma x (log y) (- (* z 1))) (- 0 y))
0.0ms	(fma x (log y) (- (* z 1)))

series150.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (fma x (log y) (- (* z 1))) (- 0 y))
110.0ms	(fma x (log y) (- (* z 1)))

simplify3.1s

Counts

50 → 50

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	99	698
1	221	454
2	685	415
3	3391	399
done	5000	399

prune194.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite58.0ms

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)
43.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
2.0ms	(cbrt y)
2.0ms	(cbrt y)

series926.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (log (cbrt y)) x)
141.0ms	(+ (* x (* 2 (log (cbrt y)))) (* (log (cbrt y)) x))
272.0ms	(cbrt y)
332.0ms	(cbrt y)

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: done (2.4s)

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

prune338.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

8.0ms	(* (log y) x)
26.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* (log y) x)))
23.0ms	(* 1/3 (* (log y) x))
1.0ms	(cbrt y)

series728.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (log y) x)
227.0ms	(+ (* x (* 2 (log (cbrt y)))) (* 1/3 (* (log y) x)))
113.0ms	(* 1/3 (* (log y) x))
287.0ms	(cbrt y)

simplify1.7s

Counts

104 → 104

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	173	1135
1	414	985
2	1336	780
done	5001	728

prune512.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	19	9
2	21	9
done	21	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

759.0ms	7973×	body	80	nan
542.0ms	8017×	body	80	valid
1.0ms	1×	body	2560	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid