Details

sample92.0ms

Algorithm

intervals

Results

33.0ms	45×	body	1280	valid
18.0ms	39×	body	640	valid
15.0ms	138×	body	80	valid
7.0ms	20×	body	320	valid
3.0ms	14×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite81.0ms

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`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

17.0ms	(+ (* x (sin y)) (* z (cos y)))
48.0ms	(* x (sin y))
16.0ms	(* z (cos y))

series293.0ms

Counts

3 → 9

Calls

3 calls:

142.0ms	(+ (* x (sin y)) (* z (cos y)))
83.0ms	(* x (sin y))
68.0ms	(* z (cos y))

simplify2.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
3	1571
2	500
1	194
0	84

prune325.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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))

rewrite28.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series701.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
145.0ms	(cbrt (cos y))
150.0ms	(cbrt (cos y))
114.0ms	(cbrt (cos y))

simplify3.8s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune447.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
19×	`add-sqr-sqrt`
16×	`prod-exp`
14×	`associate-r`
13×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
8×	`cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`pow-exp` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`swap-sqr` `*-commutative`
2×	`pow-to-exp` `unpow-prod-down` `unpow1/3` `pow-prod-down` `sqr-pow`
1×	`pow2` `sqr-cos` `pow-plus` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 91

Calls

4 calls:

16.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
72.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
19.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series335.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
54.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
25.0ms	(* (cos y) (cos y))
116.0ms	(cbrt (cos y))

simplify2.7s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
3	3232
2	955
1	328
0	131

prune946.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
47×	`prod-exp`
18×	`add-sqr-sqrt` `pow1` `pow-exp`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`associate-r`
9×	`pow-to-exp`
7×	`associate-l`
6×	`swap-sqr`
5×	`cbrt-unprod`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `*-commutative`
2×	`pow2` `sqr-cos` `pow-plus` `pow-prod-down` `pow-sqr` `cos-mult` `pow-prod-up` `unswap-sqr`
1×	`unpow-prod-down` `pow1/3` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

48.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
9.0ms	(* (cos y) (cos y))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series274.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (* z (pow (* (cos y) (cos y)) (/ 1/3 2))) (pow (* (cos y) (cos y)) (/ 1/3 2)))
18.0ms	(* (cos y) (cos y))
19.0ms	(* (cos y) (cos y))
105.0ms	(cbrt (cos y))

simplify2.5s

Counts

117 → 117

Iterations

Iter	Nodes
done	5003
3	2865
2	905
1	306
0	119

prune548.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end1.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1488×	body	1280	valid
719.0ms	623×	body	320	valid
667.0ms	1243×	body	640	valid
633.0ms	4303×	body	80	valid
130.0ms	343×	body	160	valid