Details

sample39.0ms

Algorithm

intervals

Results

13.0ms	280×	body	80	valid
9.0ms	314×	body	80	nan

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	53	11
3	101	11
4	194	11
5	290	11
6	393	11
7	540	11
8	1017	11
9	1485	11
10	1615	11
11	1621	11
done	1621	11

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

rewrite67.0ms

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:

16.0ms	(+ (- 1.0 z) (log z))
8.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
40.0ms	(* y (+ (- 1.0 z) (log z)))

series299.0ms

Counts

3 → 9

Calls

3 calls:

161.0ms	(+ (- 1.0 z) (log z))
60.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
77.0ms	(* y (+ (- 1.0 z) (log z)))

simplify613.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (124.0ms)

Iter	Nodes	Cost
0	149	1029
1	416	915
2	1681	797
done	5001	797

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- 1.0 z))
0.0b	(fma 0.5 x (* y (- 1.0 z)))
0.1b	(+ (fma 0.5 x (* y (- 1.0 z))) (* y (log z)))
0.2b	(* y (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

11.0ms	(* y (- 1.0 z))
0.0ms	(fma 0.5 x (* y (- 1.0 z)))
3.0ms	(+ (fma 0.5 x (* y (- 1.0 z))) (* y (log z)))
4.0ms	(* y (log z))

series169.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* y (- 1.0 z))
38.0ms	(fma 0.5 x (* y (- 1.0 z)))
57.0ms	(+ (fma 0.5 x (* y (- 1.0 z))) (* y (log z)))
41.0ms	(* y (log z))

simplify757.0ms

Counts

118 → 118

Iterations

Useful iterations: done (754.0ms)

Iter	Nodes	Cost
0	201	1514
1	426	1277
2	1632	1083
done	5001	1025

prune257.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (fma y (* 2 (log (cbrt z))) (fma 0.5 x (* y (- 1.0 z)))) (* y (log (cbrt z))))
0.2b	(* y (log (cbrt z)))
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

4.0ms	(+ (fma y (* 2 (log (cbrt z))) (fma 0.5 x (* y (- 1.0 z)))) (* y (log (cbrt z))))
5.0ms	(* y (log (cbrt z)))
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series605.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(+ (fma y (* 2 (log (cbrt z))) (fma 0.5 x (* y (- 1.0 z)))) (* y (log (cbrt z))))
93.0ms	(* y (log (cbrt z)))
184.0ms	(cbrt z)
184.0ms	(cbrt z)

simplify2.6s

Counts

101 → 101

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	143	1267
1	294	1216
2	1043	1055
3	4701	986
done	5000	949

prune347.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y (- 1.0 z) (* 0.5 x))
0.1b	(+ (fma y (- 1.0 z) (* 0.5 x)) (* (log z) y))
0.2b	(* (log z) y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-l`
3×	`expm1-log1p-u` `fma-def` `associate-r` `log1p-expm1-u`
2×	`fma-udef`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 48

Calls

3 calls:

0.0ms	(fma y (- 1.0 z) (* 0.5 x))
2.0ms	(+ (fma y (- 1.0 z) (* 0.5 x)) (* (log z) y))
3.0ms	(* (log z) y)

series154.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(fma y (- 1.0 z) (* 0.5 x))
61.0ms	(+ (fma y (- 1.0 z) (* 0.5 x)) (* (log z) y))
63.0ms	(* (log z) y)

simplify1.7s

Counts

57 → 57

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	96	644
1	235	589
2	709	532
3	3003	510
done	5000	503

prune144.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes161.0ms

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	11	12
1	15	12
done	15	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

340.0ms	9157×	body	80	valid
261.0ms	9256×	body	80	nan