Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	36×	body	1280	valid
9.0ms	36×	body	640	valid
8.0ms	167×	body	80	valid
2.0ms	13×	body	320	valid
0.0ms	4×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	22	4
2	28	4
3	28	4
done	28	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

7.0ms	(+ x (sin y))
40.0ms	(+ (+ x (sin y)) (* z (cos y)))
9.0ms	(* z (cos y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (sin y))
46.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify74.0ms

Counts

65 → 65

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	268
1	743	242
2	2955	242
3	5001	242
done	5001	242

prune362.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
0.1b	(* (sqrt z) (cos y))
0.2b	(* (sqrt z) (* (sqrt z) (cos y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`associate-l`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
7×	`fma-def` `sqrt-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `flip3-+` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`
1×	`associate-+l+`

Counts

4 → 83

Calls

4 calls:

7.0ms	(+ x (sin y))
44.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
12.0ms	(* (sqrt z) (cos y))
30.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ x (sin y))
50.0ms	(+ (+ x (sin y)) (* (sqrt z) (* (sqrt z) (cos y))))
63.0ms	(* (sqrt z) (cos y))
43.0ms	(* (sqrt z) (* (sqrt z) (cos y)))

simplify52.0ms

Counts

95 → 95

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	343	552
1	1358	455
2	5002	445
done	5002	445

prune244.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
0.2b	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-prod`
22×	`pow1`
18×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
15×	`associate-l`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `log1p-expm1-u` `add-log-exp`
2×	`associate-r` `*-commutative`

Counts

4 → 94

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
37.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
96.0ms	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(sqrt (sqrt z))
133.0ms	(sqrt (sqrt z))
63.0ms	(* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y)))
46.0ms	(* (sqrt z) (* (sqrt (sqrt z)) (* (sqrt (sqrt z)) (cos y))))

simplify39.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	317	664
1	1193	532
2	5001	491
done	5001	491

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite18.0ms

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:

14.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series752.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (cbrt z) (cbrt z))
181.0ms	(cbrt z)
184.0ms	(cbrt z)
182.0ms	(cbrt z)

simplify92.0ms

Counts

93 → 93

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255
done	5001	255

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5
done	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

388.0ms	945×	body	1280	valid
299.0ms	5612×	body	80	valid
202.0ms	818×	body	640	valid
69.0ms	422×	body	320	valid
24.0ms	203×	body	160	valid