Details

sample33.0ms

Algorithm

intervals

Results

19.0ms	305×	body	80	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	2×	body	1280	valid
0.0ms	2×	body	160	valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	62
5	62
4	61
3	49
2	33
1	18
0	9

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3 d3)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

38.0ms

(* d1 (+ d2 (+ 3 d3)))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

(* d1 (+ d2 (+ 3 d3)))

simplify931.0ms

Counts

28 → 28

Iterations

Iter	Nodes
3	3070
2	553
1	146
0	51

prune225.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
0.6b	(cbrt (* d1 (+ d2 (+ 3 d3))))
0.6b	(cbrt (* d1 (+ d2 (+ 3 d3))))
0.6b	(cbrt (* d1 (+ d2 (+ 3 d3))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

21.0ms	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
10.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
11.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
26.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))

series959.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
222.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
202.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
248.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))

simplify1.2s

Counts

88 → 88

Iterations

Iter	Nodes
3	3279
2	1051
1	394
0	151

prune857.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
0.6b	(cbrt (* d1 (+ d2 (+ 3 d3))))
0.6b	(cbrt (* d1 (+ d2 (+ 3 d3))))
0.7b	(cbrt d1)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`add-sqr-sqrt` `pow1`
9×	`cbrt-prod` `*-un-lft-identity` `pow1/3` `add-cube-cbrt`
8×	`flip3-+` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

37.0ms	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
20.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
20.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
2.0ms	(cbrt d1)

series1.0s

Counts

4 → 12

Calls

4 calls:

283.0ms	(* (cbrt (* d1 (+ d2 (+ 3 d3)))) (cbrt (* d1 (+ d2 (+ 3 d3)))))
229.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
216.0ms	(cbrt (* d1 (+ d2 (+ 3 d3))))
314.0ms	(cbrt d1)

simplify1.1s

Counts

88 → 88

Iterations

Iter	Nodes
3	3432
2	1114
1	426
0	167

prune1.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ d2 (+ 3 d3)))
0.0b	(sqrt (+ d2 (+ 3 d3)))
0.2b	(* d1 (sqrt (+ d2 (+ 3 d3))))
0.3b	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

24.0ms	(sqrt (+ d2 (+ 3 d3)))
15.0ms	(sqrt (+ d2 (+ 3 d3)))
49.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
99.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ d2 (+ 3 d3)))
64.0ms	(sqrt (+ d2 (+ 3 d3)))
95.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
39.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

simplify1.9s

Counts

107 → 107

Iterations

Iter	Nodes
3	4010
2	1054
1	356
0	137

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes171.0ms

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
2	10
1	10
0	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

873.0ms	9529×	body	80	valid
388.0ms	73×	body	1280	valid
63.0ms	202×	body	640	valid
61.0ms	162×	body	320	valid
12.0ms	82×	body	160	valid