Details

sample18.0ms

Algorithm

intervals

Results

7.0ms	314×	body	80	valid
0.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	23	9
3	29	9
4	31	9
done	31	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms	(* x (+ y z))
5.0ms	(+ (* x (+ y z)) (* z 5.0))

series57.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
32.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify957.0ms

Counts

42 → 42

Iterations

Useful iterations: 3 (239.0ms)

Iter	Nodes	Cost
0	72	422
1	209	386
2	617	358
3	2040	356
done	5000	356

prune87.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (+ x 5.0))
0.0b	(+ (* z (+ x 5.0)) (* y x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

10.0ms	(* z (+ x 5.0))
5.0ms	(+ (* z (+ x 5.0)) (* y x))

series64.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(* z (+ x 5.0))
33.0ms	(+ (* z (+ x 5.0)) (* y x))

simplify1.0s

Counts

42 → 42

Iterations

Useful iterations: 3 (251.0ms)

Iter	Nodes	Cost
0	72	422
1	206	390
2	648	362
3	2201	360
done	5001	360

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ y z)) (cbrt (+ y z)))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
2.0ms	(cbrt (+ y z))
2.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))

series547.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (cbrt (+ y z)) (cbrt (+ y z)))
129.0ms	(cbrt (+ y z))
125.0ms	(cbrt (+ y z))
127.0ms	(cbrt (+ y z))

simplify766.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	116	1266
1	249	1147
2	642	1089
3	1762	1012
done	5000	1012

prune289.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

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:

6.0ms	(* (cbrt z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series753.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt z) (cbrt z))
184.0ms	(cbrt z)
185.0ms	(cbrt z)
180.0ms	(cbrt z)

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: 4 (975.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3701	374
done	5000	374

prune195.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes65.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample450.0ms

Algorithm

intervals

Results

220.0ms	9731×	body	80	valid
15.0ms	118×	body	1280	valid
9.0ms	110×	body	640	valid
4.0ms	64×	body	320	valid
2.0ms	44×	body	160	valid