Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	312×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify43.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	28	9
3	36	9
4	39	9
done	39	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series64.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* x (+ y z))
37.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify2.1s

Counts

42 → 42

Iterations

Useful iterations: 3 (808.0ms)

Iter	Nodes	Cost
0	72	422
1	213	386
2	701	358
3	2953	356
done	5001	356

prune131.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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-+r+` `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:

24.0ms	(* z (+ x 5.0))
9.0ms	(+ (* y x) (* z (+ x 5.0)))

series80.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* z (+ x 5.0))
42.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 3 (867.0ms)

Iter	Nodes	Cost
0	72	422
1	211	384
2	745	374
3	3472	356
done	5000	356

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.3b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

13.0ms	(sqrt (+ x 5.0))
18.0ms	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
44.0ms	(* z (sqrt (+ x 5.0)))
70.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sqrt (+ x 5.0))
54.0ms	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
74.0ms	(* z (sqrt (+ x 5.0)))
38.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	155	1350
1	405	1006
2	1290	910
done	5001	906

prune287.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0))))
0.3b	(* (* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
14×	`sqrt-div`
12×	`cbrt-prod` `cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt` `sqrt-prod`
10×	`associate-*r/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
4×	`frac-times` `distribute-lft-out` `add-log-exp`
2×	`pow1/3` `associate-l` `associate-l/` `-commutative`

Counts

4 → 88

Calls

4 calls:

32.0ms	(* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0))))
106.0ms	(* (* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
4.0ms	(cbrt (+ x 5.0))
4.0ms	(cbrt (+ x 5.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

363.0ms	(* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0))))
439.0ms	(* (* (* (fabs (cbrt (+ x 5.0))) z) (sqrt (cbrt (+ x 5.0)))) (sqrt (+ x 5.0)))
112.0ms	(cbrt (+ x 5.0))
116.0ms	(cbrt (+ x 5.0))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	256	2141
1	672	1969
2	2500	1773
done	5001	1640

prune510.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

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

sample1.0s

Algorithm

intervals

Results

583.0ms	9761×	body	80	valid
58.0ms	94×	body	1280	valid
19.0ms	109×	body	640	valid
9.0ms	70×	body	320	valid
2.0ms	26×	body	160	valid