Details

sample70.0ms

Algorithm

intervals

Results

18.0ms	26×	body	1280	valid
17.0ms	183×	body	80	valid
11.0ms	23×	body	640	valid
3.0ms	11×	body	320	valid
3.0ms	13×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	8
3	27	8
done	27	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite70.0ms

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:

53.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(+ x (sin y))
9.0ms	(* z (cos y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (+ x (sin y)) (* z (cos y)))
32.0ms	(+ x (sin y))
63.0ms	(* z (cos y))

simplify1.7s

Counts

65 → 65

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	84	495
1	208	462
2	607	420
3	2218	420
done	5001	420

prune267.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite20.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series567.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms	(cbrt (cos y))
134.0ms	(cbrt (cos y))
127.0ms	(cbrt (cos y))

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

28.0ms	(* z (pow (pow (cos y) 2) 1/3))
60.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series379.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* z (pow (pow (cos y) 2) 1/3))
56.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
20.0ms	(pow (cos y) 2)
173.0ms	(cbrt (cos y))

simplify3.1s

Counts

110 → 110

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	874	842
3	3706	778
done	5000	769

prune445.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

3.0ms	(cbrt (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series510.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (cbrt (cos y)))
115.0ms	(cbrt (cos y))
138.0ms	(cbrt (cos y))
118.0ms	(cbrt (cos y))

simplify3.1s

Counts

67 → 67

Iterations

Useful iterations: 4 (298.0ms)

Iter	Nodes	Cost
0	50	425
1	83	409
2	170	371
3	374	359
4	1089	355
5	4078	355
done	5000	355

prune353.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	18	17
done	18	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

520.0ms	996×	body	1280	valid
366.0ms	5566×	body	80	valid
274.0ms	814×	body	640	valid
88.0ms	410×	body	320	valid
32.0ms	214×	body	160	valid