Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	300×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	1280	valid

simplify16.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	47
4	47
3	42
2	28
1	18
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

21.0ms	(* x (+ y z))
10.0ms	(+ (* x (+ y z)) (* z 5.0))

series93.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(* x (+ y z))
54.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify1.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	5001
2	1001
1	225
0	72

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

25.0ms	(* z (+ x 5.0))
13.0ms	(+ (* y x) (* z (+ x 5.0)))

series73.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* z (+ x 5.0))
36.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify1.0s

Counts

42 → 42

Iterations

Iter	Nodes
done	5002
2	1057
1	228
0	72

prune214.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(cbrt (+ x 5.0))
0.8b	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

rewrite58.0ms

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×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

4.0ms	(cbrt (+ x 5.0))
3.0ms	(cbrt (+ x 5.0))
3.0ms	(cbrt (+ x 5.0))
45.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ x 5.0))
100.0ms	(cbrt (+ x 5.0))
121.0ms	(cbrt (+ x 5.0))
150.0ms	(* (cbrt (+ x 5.0)) (cbrt (+ x 5.0)))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1308
1	354
0	150

prune746.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

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:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series988.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt x) (cbrt x))
246.0ms	(cbrt x)
239.0ms	(cbrt x)
223.0ms	(cbrt x)

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune453.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes261.0ms

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	12
1	12
0	8

end0.0ms

sample1.3s

Algorithm

intervals

Results

778.0ms	9810×	body	80	valid
47.0ms	107×	body	1280	valid
17.0ms	117×	body	640	valid
8.0ms	76×	body	320	valid
1.0ms	21×	body	160	valid