Details

sample69.0ms

Algorithm

intervals

Results

23.0ms	39×	body	1280	valid
16.0ms	48×	body	640	valid
11.0ms	139×	body	80	valid
6.0ms	22×	body	320	valid
1.0ms	8×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

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))

rewrite45.0ms

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:

20.0ms	(+ (* x (sin y)) (* z (cos y)))
12.0ms	(* x (sin y))
11.0ms	(* z (cos y))

series194.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (* x (sin y)) (* z (cos y)))
49.0ms	(* x (sin y))
56.0ms	(* z (cos y))

simplify2.0s

Counts

59 → 59

Iterations

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

prune313.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite26.0ms

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)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series627.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
112.0ms	(cbrt (cos y))
135.0ms	(cbrt (cos y))

simplify4.3s

Counts

89 → 89

Iterations

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

prune525.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

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

rewrite90.0ms

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:

20.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
55.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
11.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series352.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
52.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
18.0ms	(* (cos y) (cos y))
144.0ms	(cbrt (cos y))

simplify2.5s

Counts

103 → 103

Iterations

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

prune625.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

89.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
4.0ms	(log (exp (cbrt (cos y))))
13.0ms	(* (cos y) (cos y))
3.0ms	(cbrt (cos y))

series357.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
152.0ms	(log (exp (cbrt (cos y))))
20.0ms	(* (cos y) (cos y))
117.0ms	(cbrt (cos y))

simplify3.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5001
3	3918
2	1100
1	375
0	145

prune750.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes289.0ms

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	19
1	19
0	15

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	1420×	body	1280	valid
1.2s	1182×	body	640	valid
652.0ms	602×	body	320	valid
641.0ms	4459×	body	80	valid
77.0ms	337×	body	160	valid