Details

sample44.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
10.0ms	269×	body	80	nan

simplify32.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (168.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)

rewrite61.0ms

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:

58.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
1.0ms	(fma (log y) (+ y 0.5) z)

series134.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
46.0ms	(fma (log y) (+ y 0.5) z)

simplify3.9s

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

prune222.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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)

rewrite42.0ms

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))
30.0ms	(pow (cbrt (+ y x)) 3)

series479.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (+ y 0.5) (log y) z)
68.0ms	(fma (log y) (+ y 0.5) z)
198.0ms	(cbrt (+ y x))
158.0ms	(pow (cbrt (+ y x)) 3)

simplify3.9s

Counts

84 → 84

Iterations

Useful iterations: done (3.9s)

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

prune475.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (+ 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)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

84.0ms	(- (+ 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)

series200.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(- (+ x y) (fma (log y) (+ y 0.5) z))
48.0ms	(fma (log y) (+ y 0.5) z)
58.0ms	(fma (+ y 0.5) (log y) z)

simplify4.3s

Counts

65 → 65

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	114	1465
1	256	1061
2	787	970
3	4596	851
done	5000	850

prune348.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma y (- (log y)) y) (- x z))
0.3b	(fma y (- (log y)) y)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`associate-+r+`
9×	`add-sqr-sqrt` `add-cube-cbrt` `prod-diff`
7×	`add-log-exp`
3×	`fma-def`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--`

Counts

2 → 42

Calls

2 calls:

23.0ms	(+ (fma y (- (log y)) y) (- x z))
1.0ms	(fma y (- (log y)) y)

series352.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (fma y (- (log y)) y) (- x z))
292.0ms	(fma y (- (log y)) y)

simplify2.7s

Counts

48 → 48

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	104	606
1	234	550
2	643	479
3	3962	455
done	5000	452

prune175.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	17	21
done	17	21

end0.0ms

sample2.1s

Algorithm

intervals

Results

718.0ms	8032×	body	80	valid
588.0ms	7986×	body	80	nan
1.0ms	2×	body	1280	valid