Details

sample96.0ms

Algorithm

intervals

Results

30.0ms	25×	body	640	valid
22.0ms	32×	body	1280	valid
16.0ms	175×	body	80	valid
6.0ms	18×	body	320	valid
1.0ms	6×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	20
3	20
2	19
1	13
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

5.0ms	(+ x (sin y))
7.0ms	(* z (cos y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ x (sin y))
83.0ms	(* z (cos y))

simplify3.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
5	3656
4	1602
3	654
2	286
1	129
0	56

prune211.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite16.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series786.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
180.0ms	(cbrt (cos y))
140.0ms	(cbrt (cos y))
171.0ms	(cbrt (cos y))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune402.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite62.0ms

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:

45.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
10.0ms	(* (cos y) (cos y))
1.0ms	(cbrt (cos y))
4.0ms	(cbrt (* (cos y) (cos y)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
22.0ms	(* (cos y) (cos y))
134.0ms	(cbrt (cos y))
263.0ms	(cbrt (* (cos y) (cos y)))

simplify2.9s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	3128
2	1058
1	289
0	110

prune499.0ms

Pruning

4 alts after pruning (2 fresh and 2 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))

rewrite16.0ms

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:

11.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series870.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
159.0ms	(cbrt (cos y))
213.0ms	(cbrt (cos y))
204.0ms	(cbrt (cos y))

simplify1.9s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1140
2	366
1	144
0	64

prune544.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes285.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.2s	5646×	body	80	valid
863.0ms	922×	body	1280	valid
436.0ms	798×	body	640	valid
290.0ms	412×	body	320	valid
52.0ms	221×	body	160	valid
2.0ms	1×	body	2560	valid