Details

sample106.0ms

Algorithm

intervals

Results

41.0ms	53×	body	1280	valid
21.0ms	43×	body	640	valid
14.0ms	127×	body	80	valid
8.0ms	23×	body	320	valid
2.0ms	10×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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))

rewrite24.0ms

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:

8.0ms	(+ (* x (sin y)) (* z (cos y)))
8.0ms	(* x (sin y))
7.0ms	(* z (cos y))

series212.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (* x (sin y)) (* z (cos y)))
62.0ms	(* x (sin y))
50.0ms	(* z (cos y))

simplify2.0s

Counts

56 → 56

Iterations

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

prune365.0ms

Pruning

10 alts after pruning (10 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))

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` `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:

12.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series796.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
165.0ms	(cbrt (cos y))
187.0ms	(cbrt (cos y))
148.0ms	(cbrt (cos y))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune544.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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))

rewrite114.0ms

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` `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 → 87

Calls

4 calls:

29.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
61.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
16.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series418.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(* z (pow (* (cos y) (cos y)) 1/3))
72.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
20.0ms	(* (cos y) (cos y))
170.0ms	(cbrt (cos y))

simplify2.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	2386
1	338
0	127

prune721.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

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

rewrite70.0ms

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:

51.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
4.0ms	(log (exp (cbrt (cos y))))
9.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))

series457.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* (* z (pow (* (cos y) (cos y)) 1/3)) (log (exp (cbrt (cos y)))))
184.0ms	(log (exp (cbrt (cos y))))
29.0ms	(* (cos y) (cos y))
162.0ms	(cbrt (cos y))

simplify2.1s

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	2466
1	375
0	141

prune682.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes341.0ms

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

1.8s	1460×	body	1280	valid
947.0ms	1258×	body	640	valid
622.0ms	4320×	body	80	valid
222.0ms	620×	body	320	valid
91.0ms	342×	body	160	valid