Details

sample108.0ms

Algorithm

intervals

Results

36.0ms	48×	body	1280	valid
23.0ms	46×	body	640	valid
14.0ms	128×	body	80	valid
9.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

19.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series272.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ (* x (cos y)) (* z (sin y)))
76.0ms	(* x (cos y))
79.0ms	(* z (sin y))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3228
2	684
1	192
0	80

prune428.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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))

rewrite19.0ms

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:

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

series643.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
168.0ms	(cbrt (cos y))
120.0ms	(cbrt (cos y))
136.0ms	(cbrt (cos y))

simplify1.3s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune675.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

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×	`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 → 80

Calls

4 calls:

11.0ms	(* z (sin y))
53.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series309.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* z (sin y))
61.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
164.0ms	(cbrt (cos y))

simplify2.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune609.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

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` `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 → 90

Calls

4 calls:

76.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
6.0ms	(log (exp (cbrt (cos y))))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series421.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
164.0ms	(log (exp (cbrt (cos y))))
32.0ms	(* (cos y) (cos y))
173.0ms	(cbrt (cos y))

simplify1.8s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2466
1	375
0	141

prune735.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes505.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1515×	body	1280	valid
1.0s	4303×	body	80	valid
857.0ms	1236×	body	640	valid
301.0ms	624×	body	320	valid
76.0ms	322×	body	160	valid