Details

sample107.0ms

Algorithm

intervals

Results

41.0ms	49×	body	1280	valid
20.0ms	40×	body	640	valid
16.0ms	134×	body	80	valid
8.0ms	23×	body	320	valid
3.0ms	10×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

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))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

21.0ms	(- (* x (cos y)) (* z (sin y)))
17.0ms	(* x (cos y))
13.0ms	(* z (sin y))

series204.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(- (* x (cos y)) (* z (sin y)))
43.0ms	(* x (cos y))
63.0ms	(* z (sin y))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	82	464
1	185	436
2	577	402
3	2878	402
done	5000	402

prune250.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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:

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

series678.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
258.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune423.0ms

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`associate-l` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

25.0ms	(* z (sin y))
47.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series302.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* z (sin y))
59.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
22.0ms	(pow (cos y) 2)
177.0ms	(cbrt (cos y))

simplify1.1s

Counts

84 → 84

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	126	759
1	336	667
2	1524	584
done	5001	566

prune411.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
0.2b	(log (exp (cbrt (cos y))))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`log-pow`
12×	`exp-prod`
11×	`prod-exp` `add-cbrt-cube`
10×	`associate-r`
9×	`pow1` `cbrt-prod` `log-prod`
5×	`pow-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-in` `pow-to-exp` `unpow-prod-down` `pow-unpow` `distribute-lft-in`
1×	`pow-pow` `unpow1/3` `pow1/3` `rem-log-exp` `associate-l` `pow-prod-down` `*-commutative` `unpow2` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

84.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
4.0ms	(log (exp (cbrt (cos y))))
6.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series340.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (log (exp (cbrt (cos y)))))
141.0ms	(log (exp (cbrt (cos y))))
27.0ms	(pow (cos y) 2)
132.0ms	(cbrt (cos y))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	132	1108
1	357	890
2	1880	780
done	5000	749

prune501.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes195.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	19
1	19	19
done	19	19

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	4330×	body	80	valid
1.2s	1523×	body	1280	valid
774.0ms	1250×	body	640	valid
185.0ms	596×	body	320	valid
71.0ms	301×	body	160	valid