Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

308×

body

valid

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	32	8
3	73	8
4	148	8
5	210	8
6	245	8
7	285	8
8	339	8
9	482	8
10	608	8
11	722	8
12	857	8
13	942	8
14	961	8
15	1011	8
16	1155	8
17	1260	8
18	1486	8
19	1622	8
20	1805	8
21	1815	8
22	1817	8
done	1817	8

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.2b	(* (* (- y x) 6.0) z)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

8.0ms	(+ x (* (* (- y x) 6.0) z))
24.0ms	(* (- y x) 6.0)
46.0ms	(* (* (- y x) 6.0) z)

series132.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(+ x (* (* (- y x) 6.0) z))
33.0ms	(* (- y x) 6.0)
49.0ms	(* (* (- y x) 6.0) z)

simplify3.1s

Counts

71 → 71

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	104	692
1	258	647
2	960	553
3	4907	553
done	5000	553

prune162.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) 6.0)
0.1b	(fma z (* (- y x) 6.0) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

28.0ms	(* (- y x) 6.0)
1.0ms	(fma z (* (- y x) 6.0) x)

series73.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y x) 6.0)
41.0ms	(fma z (* (- y x) 6.0) x)

simplify1.1s

Counts

40 → 40

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	68	357
1	145	345
2	448	297
3	1669	297
done	5000	297

prune105.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* z (- y x))
0.0b	(+ (* 6.0 (* z (- y x))) x)
0.3b	(* 6.0 (* z (- y x)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

99×	`distribute-rgt-in` `distribute-lft-in`
90×	`prod-diff`
70×	`add-sqr-sqrt`
68×	`*-un-lft-identity`
66×	`add-cube-cbrt`
44×	`associate-+l+`
10×	`pow1` `add-exp-log` `sub-neg` `add-cbrt-cube`
6×	`associate-r/` `associate-r` `associate-l*`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 170

Calls

3 calls:

26.0ms	(* z (- y x))
41.0ms	(+ (* 6.0 (* z (- y x))) x)
42.0ms	(* 6.0 (* z (- y x)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* z (- y x))
49.0ms	(+ (* 6.0 (* z (- y x))) x)
55.0ms	(* 6.0 (* z (- y x)))

simplify2.8s

Counts

179 → 179

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	222	3133
1	488	2350
2	1115	1920
3	4795	1752
done	5000	1752

prune354.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y x))
0.1b	(fma 6.0 (* z (- y x)) x)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `prod-diff`
16×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 56

Calls

2 calls:

26.0ms	(* z (- y x))
0.0ms	(fma 6.0 (* z (- y x)) x)

series87.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* z (- y x))
46.0ms	(fma 6.0 (* z (- y x)) x)

simplify1.2s

Counts

62 → 62

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	118	875
1	224	705
2	487	573
3	1787	519
done	5002	465

prune108.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes67.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	8	8
done	8	8

end0.0ms

sample541.0ms

Algorithm

intervals

Results

230.0ms

10032×

body

valid