Details

sample49.0ms

Algorithm

intervals

Results

14.0ms	295×	body	80	valid
11.0ms	286×	body	80	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	11	12
1	26	11
2	57	11
3	118	11
4	204	11
5	301	11
6	380	11
7	531	11
8	800	11
9	1034	11
10	1180	11
11	1186	11
done	1186	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)))

rewrite203.0ms

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:

61.0ms	(+ (- 1.0 z) (log z))
26.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
114.0ms	(* y (+ (- 1.0 z) (log z)))

series433.0ms

Counts

3 → 9

Calls

3 calls:

241.0ms	(+ (- 1.0 z) (log z))
99.0ms	(+ (* x 0.5) (* y (+ (- 1.0 z) (log z))))
92.0ms	(* y (+ (- 1.0 z) (log z)))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	149	1029
1	410	915
2	1357	797
done	5000	796

prune393.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

9.0ms	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
27.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series2.0s

Counts

4 → 12

Calls

4 calls:

1.0s	(+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z)))
405.0ms	(* y (+ (fma 2 (log (cbrt z)) (- 1.0 z)) (log (cbrt z))))
258.0ms	(cbrt z)
311.0ms	(cbrt z)

simplify3.1s

Counts

89 → 89

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	122	1064
1	292	1029
2	891	916
3	4041	660
done	5000	660

prune423.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

14.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* y (log z)))
17.0ms	(* y (log z))

series158.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (fma (- 1.0 z) y (* 0.5 x)) (* y (log z)))
81.0ms	(* y (log z))

simplify3.5s

Counts

56 → 56

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	109	647
1	249	609
2	662	540
3	2083	510
done	5000	499

prune276.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 168

Calls

4 calls:

9.0ms	(- z (log z))
25.0ms	(- 1.0 (- z (log z)))
0.0ms	(fma x 0.5 (* y (- 1.0 (- z (log z)))))
85.0ms	(* y (- 1.0 (- z (log z))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(- z (log z))
278.0ms	(- 1.0 (- z (log z)))
86.0ms	(fma x 0.5 (* y (- 1.0 (- z (log z)))))
84.0ms	(* y (- 1.0 (- z (log z))))

simplify1.3s

Counts

180 → 180

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	245	3624
1	512	2825
2	1331	2209
done	5001	1831

prune509.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes225.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	35
1	19	35
done	19	35

end0.0ms

sample2.3s

Algorithm

intervals

Results

744.0ms	9291×	body	80	nan
705.0ms	9186×	body	80	valid