Details

sample100.0ms

Algorithm

intervals

Results

36.0ms	43×	body	1280	valid
21.0ms	173×	body	80	valid
12.0ms	22×	body	640	valid
4.0ms	10×	body	320	valid
2.0ms	8×	body	160	valid

simplify16.0ms

Counts

1 → 1

Iterations

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

61.0ms	(+ (+ x (sin y)) (* z (cos y)))
28.0ms	(* z (cos y))

series138.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (+ x (sin y)) (* z (cos y)))
71.0ms	(* z (cos y))

simplify2.8s

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
3	4482
2	682
1	161
0	63

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

21.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
7.0ms	(cbrt (* z (cos y)))
7.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))

series889.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (* z (cos y))) (cbrt (* z (cos y))))
216.0ms	(cbrt (* z (cos y)))
202.0ms	(cbrt (* z (cos y)))
202.0ms	(cbrt (* z (cos y)))

simplify620.0ms

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
2	862
1	201
0	81

prune530.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite27.0ms

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:

18.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.3s

Counts

4 → 12

Calls

4 calls:

329.0ms	(* (cbrt z) (cbrt z))
321.0ms	(cbrt z)
300.0ms	(cbrt z)
312.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune485.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))
0.6b	(cbrt (* z (cos y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

4×	`cbrt-prod` `add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
4.0ms	(cbrt (* z (cos y)))
10.0ms	(cbrt (* z (cos y)))

series863.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt (* z (cos y)))
220.0ms	(cbrt (* z (cos y)))
208.0ms	(cbrt (* z (cos y)))
222.0ms	(cbrt (* z (cos y)))

simplify1.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
4	3465
3	606
2	160
1	70
0	37

prune408.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes374.0ms

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

sample3.4s

Algorithm

intervals

Results

1.0s	1001×	body	1280	valid
890.0ms	853×	body	640	valid
786.0ms	5522×	body	80	valid
197.0ms	407×	body	320	valid
50.0ms	216×	body	160	valid
1.0ms	1×	body	2560	valid