Details

sample66.0ms

Algorithm

intervals

Results

17.0ms	31×	body	1280	valid
14.0ms	182×	body	80	valid
11.0ms	9×	body	320	valid
11.0ms	31×	body	640	valid
0.0ms	3×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	243
1	14	243
2	28	243
3	36	243
4	42	243
5	51	243
6	110	243
7	280	243
8	773	243
9	2191	243
done	5000	243

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l`
2×	`sum-log` `diff-log`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

3 → 44

Calls

3 calls:

41.0ms	(- (+ x (cos y)) (* z (sin y)))
9.0ms	(+ x (cos y))
8.0ms	(* z (sin y))

series155.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (+ x (cos y)) (* z (sin y)))
40.0ms	(+ x (cos y))
59.0ms	(* z (sin y))

simplify2.4s

Counts

53 → 53

Iterations

Useful iterations: 2 (148.0ms)

Iter	Nodes	Cost
0	82	12405
1	198	11070
2	626	10990
3	2864	10990
done	5001	10990

prune306.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
0.2b	(* (* z (sin y)) (* z (sin y)))
33.0b	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

200×	`pow1`
87×	`pow-prod-down`
59×	`add-cbrt-cube` `add-exp-log`
40×	`prod-exp` `cbrt-unprod`
38×	`pow-prod-up`
19×	`pow-plus`
16×	`pow-sqr`
8×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-r` `associate-l`
4×	`pow2` `add-log-exp`
3×	`*-commutative`
2×	`pow3`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

7.0ms	(* z (sin y))
98.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
31.0ms	(* (* z (sin y)) (* z (sin y)))
79.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* z (sin y))
113.0ms	(* (* (* z (sin y)) (* z (sin y))) (* z (sin y)))
84.0ms	(* (* z (sin y)) (* z (sin y)))
51.0ms	(cbrt (* (* (* z (sin y)) (* z (sin y))) (* z (sin y))))

simplify1.8s

Counts

148 → 148

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	114	30183
1	334	23206
2	1922	22017
done	5000	20017

prune413.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-l`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
8×	`add-cube-cbrt`
7×	`sqrt-prod`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

5.0ms	(+ x (cos y))
10.0ms	(* (sqrt z) (sin y))
28.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ x (cos y))
73.0ms	(* (sqrt z) (sin y))
47.0ms	(* (sqrt z) (* (sqrt z) (sin y)))

simplify877.0ms

Counts

64 → 64

Iterations

Useful iterations: done (871.0ms)

Iter	Nodes	Cost
0	105	15842
1	278	13554
2	1093	12394
done	5001	11874

prune310.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sin y))
0.0b	(sqrt (sin y))
0.1b	(* z (sqrt (sin y)))
0.2b	(* (* z (sqrt (sin y))) (sqrt (sin y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

2.0ms	(sqrt (sin y))
2.0ms	(sqrt (sin y))
13.0ms	(* z (sqrt (sin y)))
31.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(sqrt (sin y))
24.0ms	(sqrt (sin y))
72.0ms	(* z (sqrt (sin y)))
56.0ms	(* (* z (sqrt (sin y))) (sqrt (sin y)))

simplify852.0ms

Counts

81 → 81

Iterations

Useful iterations: done (847.0ms)

Iter	Nodes	Cost
0	83	17204
1	219	14002
2	1111	13762
done	5000	13442

prune375.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes237.0ms

Accuracy

0% (0.0b 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	8	243
1	10	243
done	10	243

end0.0ms

sample2.6s

Algorithm

intervals

Results

733.0ms	996×	body	1280	valid
704.0ms	840×	body	640	valid
634.0ms	5556×	body	80	valid
147.0ms	396×	body	320	valid
75.0ms	210×	body	160	valid
3.0ms	2×	body	2560	valid