Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	285×	body	80	valid
12.0ms	280×	body	80	nan

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	25	12
2	51	12
3	108	12
4	322	12
5	921	12
6	2246	12
7	3825	12
done	5001	12

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- 1.0 z) (log z))
0.0b	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
0.2b	(* y (+ (- 1.0 z) (log z)))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
9×	`pow1`
8×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
7×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
4×	`log-pow` `distribute-lft-out--`
3×	`log-prod` `flip3-+` `associate-l` `sum-log` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-*r/`
1×	`associate-+l-` `sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

39.0ms	(+ (- 1.0 z) (log z))
43.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
127.0ms	(* y (+ (- 1.0 z) (log z)))

series484.0ms

Counts

3 → 9

Calls

3 calls:

273.0ms	(+ (- 1.0 z) (log z))
82.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
129.0ms	(* y (+ (- 1.0 z) (log z)))

simplify992.0ms

Counts

70 → 70

Iterations

Useful iterations: done (990.0ms)

Iter	Nodes	Cost
0	132	839
1	376	780
2	1787	706
done	5002	704

prune398.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(+ (* x 0.5) (* y (- 1.0 z)))
0.1b	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
0.3b	(* y (log z))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`add-cube-cbrt` `log-prod`
11×	`add-log-exp`
10×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
9×	`pow1` `associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l`
4×	`sub-neg` `sum-log`
2×	`+-commutative` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+l+` `flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

42.0ms	(* y (- 1.0 z))
21.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
72.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
18.0ms	(* y (log z))

series237.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* y (- 1.0 z))
62.0ms	(+ (* x 0.5) (* y (- 1.0 z)))
83.0ms	(+ (+ (* x 0.5) (* y (- 1.0 z))) (* y (log z)))
49.0ms	(* y (log z))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	1111
1	430	997
2	1674	927
done	5002	915

prune439.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
0.2b	(* y (log (cbrt z)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `log-prod`
9×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-r/` `pow-prod-down` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3-+` `flip-+`

Counts

4 → 76

Calls

4 calls:

122.0ms	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
10.0ms	(* y (log (cbrt z)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.0s

Counts

4 → 12

Calls

4 calls:

272.0ms	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
127.0ms	(* y (log (cbrt z)))
308.0ms	(cbrt z)
298.0ms	(cbrt z)

simplify912.0ms

Counts

88 → 88

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	131	842
1	338	812
2	1262	689
done	5001	673

prune664.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
0.2b	(* y (log (pow z 1/3)))
0.6b	(cbrt z)
5.0b	(pow z 1/3)

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`log-prod`
9×	`pow1` `add-exp-log` `unpow-prod-down`
8×	`distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
7×	`associate-r`
6×	`associate-l`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-exp` `log-pow` `flip-+`

Counts

4 → 84

Calls

4 calls:

111.0ms	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
22.0ms	(* y (log (pow z 1/3)))
1.0ms	(cbrt z)
3.0ms	(pow z 1/3)

series946.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(* y (+ (- 1.0 z) (* 2 (log (cbrt z)))))
102.0ms	(* y (log (pow z 1/3)))
275.0ms	(cbrt z)
273.0ms	(pow z 1/3)

simplify697.0ms

Counts

96 → 96

Iterations

Useful iterations: done (692.0ms)

Iter	Nodes	Cost
0	165	971
1	439	856
2	1623	735
done	5001	718

prune516.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes205.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	17	14
done	17	14

end0.0ms

sample2.4s

Algorithm

intervals

Results

950.0ms	9171×	body	80	nan
638.0ms	9169×	body	80	valid