Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	257×	body	80	valid
9.0ms	255×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (432.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	206	12
4	1068	11
done	5000	11

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
12×	`add-sqr-sqrt` `prod-diff`
10×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`distribute-lft-out`
4×	`fma-neg`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `diff-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--` `associate--r+` `difference-of-squares`

Counts

2 → 46

Calls

2 calls:

54.0ms	(- (+ y x) (fma (+ y 0.5) (log y) z))
0.0ms	(fma (+ y 0.5) (log y) z)

series158.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(- (+ y x) (fma (+ y 0.5) (log y) z))
56.0ms	(fma (+ y 0.5) (log y) z)

simplify907.0ms

Counts

52 → 52

Iterations

Useful iterations: done (905.0ms)

Iter	Nodes	Cost
0	103	1312
1	243	939
2	1030	849
done	5001	819

prune223.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`add-log-exp`
7×	`distribute-lft-out`
6×	`sum-log`
4×	`fma-def`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `distribute-rgt-neg-in` `neg-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `associate-+r-` `associate-+l+` `associate-+r+` `distribute-neg-in` `flip3-+` `unsub-neg` `flip-+`

Counts

2 → 39

Calls

2 calls:

47.0ms	(+ (+ y x) (- (fma (+ y 0.5) (log y) z)))
0.0ms	(fma (+ y 0.5) (log y) z)

series121.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (+ y x) (- (fma (+ y 0.5) (log y) z)))
53.0ms	(fma (+ y 0.5) (log y) z)

simplify944.0ms

Counts

45 → 45

Iterations

Useful iterations: done (942.0ms)

Iter	Nodes	Cost
0	86	576
1	242	509
2	1198	469
done	5000	466

prune255.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `sum-log` `fma-udef` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+` `difference-of-squares`

Counts

3 → 70

Calls

3 calls:

15.0ms	(- x (fma (+ y 0.5) (log y) z))
35.0ms	(+ y (- x (fma (+ y 0.5) (log y) z)))
1.0ms	(fma (+ y 0.5) (log y) z)

series233.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(- x (fma (+ y 0.5) (log y) z))
92.0ms	(+ y (- x (fma (+ y 0.5) (log y) z)))
74.0ms	(fma (+ y 0.5) (log y) z)

simplify1.1s

Counts

79 → 79

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	134	1562
1	321	1151
2	1341	990
done	5002	888

prune455.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
0.6b	(cbrt (fma (+ y 0.5) (log y) z))
0.6b	(cbrt (fma (+ y 0.5) (log y) z))
0.6b	(cbrt (fma (+ y 0.5) (log y) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

12.0ms	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))
1.0ms	(cbrt (fma (+ y 0.5) (log y) z))

series2.1s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (+ y 0.5) (log y) z)) (cbrt (fma (+ y 0.5) (log y) z)))
355.0ms	(cbrt (fma (+ y 0.5) (log y) z))
346.0ms	(cbrt (fma (+ y 0.5) (log y) z))
367.0ms	(cbrt (fma (+ y 0.5) (log y) z))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	204	2843
1	640	2677
2	3429	2497
done	5001	2341

prune672.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes206.0ms

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	10	12
1	13	12
done	13	12

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	8055×	body	80	nan
690.0ms	8040×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid