Details

sample57.0ms

Algorithm

intervals

Results

13.0ms	311×	body	80	nan
13.0ms	257×	body	80	valid

simplify31.5s

Counts

1 → 1

Iterations

Useful iterations: 4 (115.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 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:

59.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
0.0ms	(fma (log y) (+ y 0.5) z)

series137.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(- (+ y x) (fma (log y) (+ y 0.5) z))
55.0ms	(fma (log y) (+ y 0.5) z)

simplify3.8s

Counts

52 → 52

Iterations

Useful iterations: 3 (1.6s)

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

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

22.0ms	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
2.0ms	(cbrt (fma (log y) (+ y 0.5) z))
2.0ms	(cbrt (fma (log y) (+ y 0.5) z))
2.0ms	(cbrt (fma (log y) (+ y 0.5) z))

series2.4s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (fma (log y) (+ y 0.5) z)) (cbrt (fma (log y) (+ y 0.5) z)))
351.0ms	(cbrt (fma (log y) (+ y 0.5) z))
416.0ms	(cbrt (fma (log y) (+ y 0.5) z))
384.0ms	(cbrt (fma (log y) (+ y 0.5) z))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	204	2843
1	605	2677
2	2361	2497
done	5000	2338

prune490.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
3.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.0ms	(cbrt (fma (log y) (+ y 0.5) z))
18.0ms	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))

series2.2s

Counts

4 → 12

Calls

4 calls:

372.0ms	(cbrt (fma (log y) (+ y 0.5) z))
354.0ms	(cbrt (fma (log y) (+ y 0.5) z))
370.0ms	(cbrt (fma (log y) (+ y 0.5) z))
1.1s	(* (cbrt (cbrt (fma (log y) (+ y 0.5) z))) (cbrt (cbrt (fma (log y) (+ y 0.5) z))))

simplify1.2s

Counts

107 → 107

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	229	3400
1	635	3222
2	2391	3036
done	5000	2846

prune655.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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:

26.0ms	(+ (fma y (- (log y)) y) (- x z))
1.0ms	(fma y (- (log y)) y)

series380.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(+ (fma y (- (log y)) y) (- x z))
298.0ms	(fma y (- (log y)) y)

simplify3.0s

Counts

48 → 48

Iterations

Useful iterations: done (3.0s)

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

prune196.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes118.0ms

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	9	11
1	11	11
done	11	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

355.0ms	8026×	body	80	valid
274.0ms	7947×	body	80	nan
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid