Details

sample67.0ms

Algorithm

intervals

Results

22.0ms	269×	body	80	nan
16.0ms	281×	body	80	valid

simplify3.1s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	124	11
4	355	11
5	1056	11
6	2596	11
7	4834	11
done	5000	11

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 82

Calls

3 calls:

44.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
63.0ms	(+ (- 1.0 z) (log z))
151.0ms	(* y (+ (- 1.0 z) (log z)))

series455.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
259.0ms	(+ (- 1.0 z) (log z))
111.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.5s

Counts

91 → 91

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	149	1029
1	437	920
2	2002	805
done	5002	802

prune327.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

61.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
25.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
10.0ms	(* y (log z))

series314.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(+ (* x 0.5) (+ (* y (- 1.0 z)) (* y (log z))))
150.0ms	(+ (* y (- 1.0 z)) (* y (log z)))
59.0ms	(* y (log z))

simplify1.5s

Counts

95 → 95

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	166	1311
1	484	1046
2	1961	893
done	5002	884

prune458.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
0.3b	(* (log (cbrt z)) y)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`cbrt-prod` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

8.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
22.0ms	(* (log (cbrt z)) y)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series928.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
183.0ms	(* (log (cbrt z)) y)
309.0ms	(cbrt z)
254.0ms	(cbrt z)

simplify661.0ms

Counts

80 → 80

Iterations

Useful iterations: done (658.0ms)

Iter	Nodes	Cost
0	102	660
1	220	635
2	847	551
done	5000	519

prune427.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
0.3b	(* (log (pow (/ 1 z) -1/3)) y)
0.5b	(cbrt z)
4.9b	(pow (/ 1 z) -1/3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `unpow-prod-down`
10×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`associate-r`
4×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow`
2×	`div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `rec-exp` `pow-flip` `pow1/3` `1-exp` `log-pow` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

8.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
10.0ms	(* (log (pow (/ 1 z) -1/3)) y)
1.0ms	(cbrt z)
9.0ms	(pow (/ 1 z) -1/3)

series809.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (fma 2 (log (cbrt z)) (- 1.0 z)) y)
123.0ms	(* (log (pow (/ 1 z) -1/3)) y)
237.0ms	(cbrt z)
279.0ms	(pow (/ 1 z) -1/3)

simplify820.0ms

Counts

100 → 100

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	178	1002
1	450	893
2	1432	726
done	5000	662

prune437.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	28
1	29	28
done	29	28

end0.0ms

sample2.2s

Algorithm

intervals

Results

782.0ms	8871×	body	80	nan
660.0ms	9107×	body	80	valid