Details

sample42.0ms

Algorithm

intervals

Results

12.0ms	24×	body	1280	valid
10.0ms	191×	body	80	valid
6.0ms	27×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	5×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

34.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

series78.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (+ x (sin y)) (* z (cos y)))
37.0ms	(* z (cos y))

simplify899.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	62	349
1	152	330
2	472	304
3	1840	304
done	5000	304

prune84.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))

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×	`add-cbrt-cube` `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 → 73

Calls

4 calls:

13.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series438.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
93.0ms	(cbrt (cos y))
98.0ms	(cbrt (cos y))
93.0ms	(cbrt (cos y))

simplify4.1s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune222.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

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×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

40.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(* z (pow (pow (cos y) 2) 1/3))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series251.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
97.0ms	(* z (pow (pow (cos y) 2) 1/3))
17.0ms	(pow (cos y) 2)
96.0ms	(cbrt (cos y))

simplify2.6s

Counts

102 → 102

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	133	1081
1	300	889
2	850	792
3	3586	728
done	5000	720

prune280.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`unpow-prod-down`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
12×	`associate-r`
7×	`log-pow` `add-cbrt-cube`
6×	`pow1` `cbrt-prod` `exp-prod` `unswap-sqr`
5×	`pow-exp` `prod-exp` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-unpow` `log-prod` `associate-l` `unpow2`
2×	`cbrt-unprod`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `*-commutative`

Counts

4 → 83

Calls

4 calls:

23.0ms	(* z (pow (pow (cos y) 2) 1/3))
4.0ms	(log (exp (cbrt (cos y))))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series322.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(* z (pow (pow (cos y) 2) 1/3))
100.0ms	(log (exp (cbrt (cos y))))
23.0ms	(pow (cos y) 2)
98.0ms	(cbrt (cos y))

simplify925.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (302.0ms)

Iter	Nodes	Cost
0	137	841
1	260	670
2	542	603
3	1494	593
done	5001	593

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes102.0ms

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	8	9
1	11	9
done	11	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

488.0ms	5600×	body	80	valid
409.0ms	975×	body	1280	valid
194.0ms	808×	body	640	valid
67.0ms	410×	body	320	valid
23.0ms	205×	body	160	valid
2.0ms	2×	body	2560	valid