Details

sample75.0ms

Algorithm

intervals

Results

18.0ms	178×	body	80	valid
17.0ms	26×	body	1280	valid
11.0ms	26×	body	640	valid
5.0ms	14×	body	320	valid
3.0ms	12×	body	160	valid

simplify13.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:

40.0ms	(+ (+ x (sin y)) (* z (cos y)))
21.0ms	(* z (cos y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (+ x (sin y)) (* z (cos y)))
53.0ms	(* z (cos y))

simplify1.5s

Counts

37 → 37

Iterations

Useful iterations: 2 (95.0ms)

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

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series756.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
136.0ms	(cbrt (cos y))
174.0ms	(cbrt (cos y))
192.0ms	(cbrt (cos y))

simplify6.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.7s)

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

prune317.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

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))

rewrite78.0ms

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:

28.0ms	(* z (pow (pow (cos y) 2) 1/3))
42.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series444.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* z (pow (pow (cos y) 2) 1/3))
66.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
33.0ms	(pow (cos y) 2)
184.0ms	(cbrt (cos y))

simplify3.8s

Counts

102 → 102

Iterations

Useful iterations: done (3.8s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune426.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))) (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))))
0.6b	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
0.6b	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
0.6b	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

98.0ms	(* (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))) (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))))
29.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
35.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
38.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))

series739.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))) (cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2))))))
179.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
167.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))
186.0ms	(cbrt (* z (* (cbrt (cos y)) (cbrt (pow (cos y) 2)))))

simplify3.9s

Counts

70 → 70

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	84	1402
1	180	1266
2	498	1088
3	1451	932
4	4541	892
done	5000	781

prune470.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes170.0ms

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	9
1	11	9
done	11	9

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.2s	1001×	body	1280	valid
676.0ms	5562×	body	80	valid
458.0ms	815×	body	640	valid
115.0ms	395×	body	320	valid
79.0ms	227×	body	160	valid