Details

sample56.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
11.0ms	269×	body	80	nan

simplify33.3s

Counts

1 → 1

Iterations

Useful iterations: 4 (196.0ms)

Iter	Nodes	Cost
0	10	12
1	21	12
2	63	12
3	203	12
4	476	11
5	1030	11
6	1721	11
7	2404	11
8	2731	11
9	2785	11
10	3029	11
11	3277	11
12	3518	11
13	3822	11
14	4176	11
15	4222	11
16	4242	11
done	4242	11

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite85.0ms

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:

82.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
1.0ms	(fma (log y) (+ y 0.5) z)

series129.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
55.0ms	(fma (log y) (+ y 0.5) z)

simplify4.4s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	103	1312
1	242	939
2	781	849
3	4611	733
done	5000	733

prune194.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (+ y 0.5) (log y) z)
0.1b	(fma (log y) (+ y 0.5) z)
0.5b	(cbrt (+ y x))
0.8b	(pow (cbrt (+ y x)) 3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
7×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `cbrt-div` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `distribute-lft-out`
2×	`cube-div` `pow-pow` `flip3-+` `pow1/3` `flip-+` `fma-udef`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

1.0ms	(fma (+ y 0.5) (log y) z)
1.0ms	(fma (log y) (+ y 0.5) z)
8.0ms	(cbrt (+ y x))
16.0ms	(pow (cbrt (+ y x)) 3)

series520.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(fma (+ y 0.5) (log y) z)
72.0ms	(fma (log y) (+ y 0.5) z)
236.0ms	(cbrt (+ y x))
163.0ms	(pow (cbrt (+ y x)) 3)

simplify3.5s

Counts

84 → 84

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	138	875
1	332	680
2	816	616
3	4218	605
done	5000	604

prune428.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (* 1 (+ x y)) (fma (log y) (+ y 0.5) z))
0.1b	(fma (log y) (+ y 0.5) z)
0.1b	(fma (+ y 0.5) (log y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `prod-diff` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
2×	`associate--l+`
1×	`distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `fma-neg` `diff-log` `flip--` `associate--r+` `distribute-lft-out--`

Counts

3 → 42

Calls

3 calls:

27.0ms	(- (* 1 (+ x y)) (fma (log y) (+ y 0.5) z))
1.0ms	(fma (log y) (+ y 0.5) z)
1.0ms	(fma (+ y 0.5) (log y) z)

series208.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (* 1 (+ x y)) (fma (log y) (+ y 0.5) z))
49.0ms	(fma (log y) (+ y 0.5) z)
68.0ms	(fma (+ y 0.5) (log y) z)

simplify3.4s

Counts

51 → 51

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	104	875
1	241	665
2	721	630
3	4268	598
done	5000	597

prune307.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma y (- (log y)) y) z)
0.1b	(fma (+ y 0.5) (log y) z)
0.3b	(fma y (- (log y)) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

13.0ms	(- (fma y (- (log y)) y) z)
0.0ms	(fma (+ y 0.5) (log y) z)
1.0ms	(fma y (- (log y)) y)

series539.0ms

Counts

3 → 9

Calls

3 calls:

126.0ms	(- (fma y (- (log y)) y) z)
46.0ms	(fma (+ y 0.5) (log y) z)
367.0ms	(fma y (- (log y)) y)

simplify3.7s

Counts

58 → 58

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	115	824
1	247	703
2	598	605
3	2516	522
done	5000	485

prune187.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes180.0ms

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: 1 (3.0ms)

Iter	Nodes	Cost
0	15	23
1	21	21
done	21	21

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	7986×	body	80	nan
614.0ms	8032×	body	80	valid
1.0ms	2×	body	1280	valid