Details

sample95.0ms

Algorithm

intervals

Results

26.0ms	32×	body	1280	valid
25.0ms	175×	body	80	valid
13.0ms	25×	body	640	valid
7.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify17.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
3	22
2	19
1	13
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

11.0ms	(+ x (sin y))
14.0ms	(* z (cos y))

series127.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (sin y))
89.0ms	(* z (cos y))

simplify2.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
4	3474
3	1084
2	336
1	130
0	56

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite29.0ms

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:

20.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series857.0ms

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
182.0ms	(cbrt (cos y))
197.0ms	(cbrt (cos y))
172.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune611.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
0.3b	(* (cos y) (cos y))
0.3b	(cbrt (cos y))
0.4b	(cbrt (* (cos y) (cos y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

47.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
12.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))
8.0ms	(cbrt (* (cos y) (cos y)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
171.0ms	(cbrt (cos y))
262.0ms	(cbrt (* (cos y) (cos y)))

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
2	2007
1	292
0	110

prune571.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))

rewrite23.0ms

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:

17.0ms	(* (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:

261.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
193.0ms	(cbrt (cos y))
184.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))

simplify1.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune549.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	922×	body	1280	valid
936.0ms	5646×	body	80	valid
436.0ms	798×	body	640	valid
190.0ms	412×	body	320	valid
51.0ms	221×	body	160	valid
2.0ms	1×	body	2560	valid