Details

sample123.0ms

Algorithm

intervals

Results

53.0ms	56×	body	1280	valid
27.0ms	141×	body	80	valid
18.0ms	31×	body	640	valid
10.0ms	23×	body	320	valid
1.0ms	5×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

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))

rewrite48.0ms

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:

11.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
29.0ms	(* z (cos y))

series165.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(+ (* x (sin y)) (* z (cos y)))
45.0ms	(* x (sin y))
41.0ms	(* z (cos y))

simplify857.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	2000
3	1571
2	500
1	194
0	84

prune316.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite17.0ms

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:

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

series618.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
144.0ms	(cbrt (cos y))
121.0ms	(cbrt (cos y))
125.0ms	(cbrt (cos y))

simplify758.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	2000
3	1192
2	354
1	145
0	66

prune515.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

16.0ms	(* x (sin y))
51.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series310.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* x (sin y))
50.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
38.0ms	(* (cos y) (cos y))
164.0ms	(cbrt (cos y))

simplify661.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2001
2	1026
1	346
0	138

prune488.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`add-sqr-sqrt`
11×	`add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
5×	`cbrt-prod`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`swap-sqr` `cos-mult`
2×	`cbrt-div` `pow1/3` `*-commutative`
1×	`pow2` `sqr-cos` `pow-plus` `associate-*r/` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (* (cbrt (cos y)) z) (cbrt (* (cos y) (cos y))))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
5.0ms	(cbrt (* (cos y) (cos y)))

series469.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* (cbrt (cos y)) z) (cbrt (* (cos y) (cos y))))
34.0ms	(* (cos y) (cos y))
128.0ms	(cbrt (cos y))
233.0ms	(cbrt (* (cos y) (cos y)))

simplify651.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2007
2	911
1	293
0	114

prune512.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes232.0ms

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	21
1	21
0	15

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.4s	1557×	body	1280	valid
1.4s	1179×	body	640	valid
777.0ms	4311×	body	80	valid
373.0ms	652×	body	320	valid
134.0ms	301×	body	160	valid