Details

sample93.0ms

Algorithm

intervals

Results

31.0ms	44×	body	1280	valid
19.0ms	45×	body	640	valid
14.0ms	136×	body	80	valid
7.0ms	19×	body	320	valid
3.0ms	12×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

22.0ms	(+ (* x (sin y)) (* z (cos y)))
40.0ms	(* x (sin y))
8.0ms	(* z (cos y))

series283.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (* x (sin y)) (* z (cos y)))
81.0ms	(* x (sin y))
67.0ms	(* z (cos y))

simplify2.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
3	3257
2	685
1	194
0	81

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series781.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
153.0ms	(cbrt (cos y))
170.0ms	(cbrt (cos y))
154.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune500.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
21×	`pow1`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt`
10×	`add-cbrt-cube`
9×	`associate-r`
6×	`cbrt-prod` `pow-pow` `cbrt-unprod`
4×	`associate-l` `pow-exp` `add-log-exp`
3×	`pow-unpow` `swap-sqr` `pow-prod-down`
2×	`pow2` `pow-to-exp` `pow-plus` `unpow1/3` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`sqr-cos` `unpow-prod-down` `pow1/3` `cos-mult` `unswap-sqr` `sqr-pow`

Counts

4 → 84

Calls

4 calls:

14.0ms	(pow (* (cos y) (cos y)) 1/3)
51.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series515.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(pow (* (cos y) (cos y)) 1/3)
85.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
25.0ms	(* (cos y) (cos y))
126.0ms	(cbrt (cos y))

simplify2.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	2372
1	357
0	128

prune613.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (pow (pow (* (cos y) (cos y)) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
0.2b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
1.0b	(* (cbrt 1/3) (cbrt 1/3))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`add-exp-log`
22×	`cbrt-prod`
20×	`pow1`
19×	`*-un-lft-identity` `add-cube-cbrt`
16×	`prod-exp`
15×	`associate-r`
10×	`associate-l`
9×	`add-cbrt-cube` `swap-sqr`
7×	`pow1/3`
6×	`pow-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`pow-prod-down` `add-log-exp`
3×	`pow-sqr` `*-commutative` `pow-prod-up`
2×	`pow2` `pow-to-exp` `pow-plus`
1×	`sqr-cos` `cos-mult`

Counts

4 → 103

Calls

4 calls:

72.0ms	(* (* z (pow (pow (* (cos y) (cos y)) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
18.0ms	(* (cbrt 1/3) (cbrt 1/3))

series792.0ms

Counts

4 → 10

Calls

4 calls:

604.0ms	(* (* z (pow (pow (* (cos y) (cos y)) (* (cbrt 1/3) (cbrt 1/3))) (cbrt 1/3))) (cbrt (cos y)))
33.0ms	(* (cos y) (cos y))
155.0ms	(cbrt (cos y))
0.0ms	(* (cbrt 1/3) (cbrt 1/3))

simplify2.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5002
2	2679
1	406
0	147

prune793.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes272.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.7s	1478×	body	1280	valid
757.0ms	1303×	body	640	valid
619.0ms	4307×	body	80	valid
209.0ms	629×	body	320	valid
173.0ms	283×	body	160	valid