Details

sample121.0ms

Algorithm

intervals

Results

47.0ms	814×	body	80	nan
19.0ms	299×	body	80	valid

simplify2.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	20	21
1	39	20
2	107	18
3	390	18
4	1294	18
5	3158	18
6	4936	18
done	5000	18

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`add-log-exp`
6×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out`
3×	`fma-udef`
2×	`+-commutative` `flip3-+` `flip-+`
1×	`associate-+l+` `associate-+r+`

Counts

4 → 58

Calls

4 calls:

8.0ms	(+ a (+ (fma x (log y) z) t))
3.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
0.0ms	(fma x (log y) z)

series486.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ a (+ (fma x (log y) z) t))
49.0ms	(+ (fma x (log y) z) t)
322.0ms	(fma (log c) (- b 0.5) (+ a (+ (fma x (log y) z) t)))
52.0ms	(fma x (log y) z)

simplify800.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (251.0ms)

Iter	Nodes	Cost
0	105	812
1	244	761
2	622	706
3	2556	690
done	5000	690

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
0.0b	(+ (fma x (log y) z) t)
0.1b	(fma x (log y) z)
0.2b	(* (log c) (- b 0.5))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt` `*-un-lft-identity`
31×	`add-cube-cbrt`
23×	`associate-+l+`
22×	`distribute-rgt-in` `distribute-lft-in`
15×	`add-log-exp`
7×	`pow1` `sum-log`
6×	`add-exp-log` `associate-*r/` `add-cbrt-cube`
5×	`associate-r`
4×	`expm1-log1p-u` `sub-neg` `fma-def` `flip3-+` `associate-l` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`+-commutative` `fma-udef`
1×	`associate-+r+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 118

Calls

4 calls:

32.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
3.0ms	(+ (fma x (log y) z) t)
0.0ms	(fma x (log y) z)
12.0ms	(* (log c) (- b 0.5))

series558.0ms

Counts

4 → 12

Calls

4 calls:

361.0ms	(+ (* (log c) (- b 0.5)) (+ a (+ (fma x (log y) z) t)))
44.0ms	(+ (fma x (log y) z) t)
57.0ms	(fma x (log y) z)
96.0ms	(* (log c) (- b 0.5))

simplify733.0ms

Counts

130 → 130

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	242	2387
1	613	1956
2	2184	1738
done	5000	1738

prune554.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (log c)) (cbrt (log c)))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))
0.5b	(cbrt (log c))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 89

Calls

4 calls:

7.0ms	(* (cbrt (log c)) (cbrt (log c)))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))
1.0ms	(cbrt (log c))

series1.1s

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (log c)) (cbrt (log c)))
275.0ms	(cbrt (log c))
268.0ms	(cbrt (log c))
274.0ms	(cbrt (log c))

simplify1.5s

Counts

101 → 101

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	66	787
1	125	690
2	362	571
3	1767	529
done	5000	529

prune382.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
0.5b	(cbrt (log c))
0.6b	(pow (log c) 2)
1.2b	(pow (pow (log c) 2) 1/3)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

44×	`distribute-rgt-in` `distribute-lft-in`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`prod-diff`
30×	`unpow-prod-down`
28×	`add-exp-log`
15×	`prod-exp`
13×	`associate-l` `pow-exp`
10×	`add-cbrt-cube`
9×	`pow1`
7×	`pow-to-exp`
6×	`pow-unpow` `cbrt-unprod`
5×	`sqr-pow`
4×	`cbrt-prod` `expm1-log1p-u` `sub-neg` `associate-*r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`unpow1/3` `unpow2`
2×	`pow-pow`
1×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--`

Counts

4 → 147

Calls

4 calls:

34.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
1.0ms	(cbrt (log c))
1.0ms	(pow (log c) 2)
3.0ms	(pow (pow (log c) 2) 1/3)

series785.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (pow (pow (log c) 2) 1/3) (* (cbrt (log c)) (- b 0.5)))
266.0ms	(cbrt (log c))
152.0ms	(pow (log c) 2)
270.0ms	(pow (pow (log c) 2) 1/3)

simplify794.0ms

Counts

159 → 159

Iterations

Useful iterations: 2 (303.0ms)

Iter	Nodes	Cost
0	266	3141
1	610	2523
2	1983	2156
done	5000	2156

prune545.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes497.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	22	19
done	22	19

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	27925×	body	80	nan
601.0ms	9147×	body	80	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	320	valid