Details

sample100.0ms

Algorithm

intervals

Results

33.0ms	48×	body	1280	valid
17.0ms	36×	body	640	valid
13.0ms	132×	body	80	valid
8.0ms	25×	body	320	valid
3.0ms	15×	body	160	valid

simplify30.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize83.0ms

Local error

Found 3 expressions with local error:

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

rewrite83.0ms

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`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 50

Calls

3 calls:

27.0ms	(+ (* x (sin y)) (* z (cos y)))
32.0ms	(* z (cos y))
22.0ms	(* x (sin y))

series339.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(+ (* x (sin y)) (* z (cos y)))
87.0ms	(* z (cos y))
73.0ms	(* x (sin y))

simplify4.4s

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
3	1636
2	498
1	195
0	84

prune805.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

59.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
7.0ms	(cbrt (cos y))
7.0ms	(cbrt (cos y))
7.0ms	(cbrt (cos y))

series926.0ms

Counts

4 → 12

Calls

4 calls:

318.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
184.0ms	(cbrt (cos y))
201.0ms	(cbrt (cos y))
223.0ms	(cbrt (cos y))

simplify11.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5004
4	4445
3	1186
2	352
1	145
0	66

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize144.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

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` `insert-posit16` `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 → 74

Calls

4 calls:

139.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
23.0ms	(* (cos y) (cos y))
22.0ms	(cbrt (* (cos y) (cos y)))
7.0ms	(cbrt (cos y))

series707.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* z (cbrt (* (cos y) (cos y)))) (cbrt (cos y)))
37.0ms	(* (cos y) (cos y))
341.0ms	(cbrt (* (cos y) (cos y)))
234.0ms	(cbrt (cos y))

simplify6.5s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
3	2801
2	865
1	292
0	114

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize245.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`
1×	`cbrt-div` `cos-mult`

Counts

4 → 47

Calls

4 calls:

18.0ms	(cbrt (* (cos y) (cos y)))
6.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series1.0s

Counts

4 → 12

Calls

4 calls:

366.0ms	(cbrt (* (cos y) (cos y)))
202.0ms	(cbrt (cos y))
248.0ms	(cbrt (cos y))
201.0ms	(cbrt (cos y))

simplify4.3s

Counts

59 → 59

Iterations

Iter	Nodes
done	5000
4	1793
3	528
2	212
1	100
0	54

prune887.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes787.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	1537×	body	1280	valid
907.0ms	1346×	body	640	valid
776.0ms	4192×	body	80	valid
681.0ms	592×	body	320	valid
98.0ms	333×	body	160	valid