Details

sample34.0ms

Algorithm

intervals

Results

22.0ms	298×	body	80	valid
1.0ms	6×	body	320	valid
1.0ms	3×	body	1280	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	160	valid

simplify29.0ms

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)))

rewrite32.0ms

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-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

32.0ms

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

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify1.0s

Counts

27 → 27

Iterations

Iter	Nodes
3	3075
2	553
1	145
0	50

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

33.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
113.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

series137.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* d1 (sqrt (+ d2 (+ 3 d3))))
49.0ms	(* (* d1 (sqrt (+ d2 (+ 3 d3)))) (sqrt (+ d2 (+ 3 d3))))

simplify1.7s

Counts

63 → 63

Iterations

Iter	Nodes
3	4120
2	989
1	312
0	116

prune682.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`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 → 105

Calls

4 calls:

114.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
13.0ms	(cbrt (+ d2 (+ 3 d3)))
13.0ms	(cbrt (+ d2 (+ 3 d3)))
13.0ms	(cbrt (+ d2 (+ 3 d3)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
144.0ms	(cbrt (+ d2 (+ 3 d3)))
138.0ms	(cbrt (+ d2 (+ 3 d3)))
138.0ms	(cbrt (+ d2 (+ 3 d3)))

simplify854.0ms

Counts

117 → 117

Iterations

Iter	Nodes
3	2130
2	802
1	313
0	128

prune1.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(cbrt (+ d2 (+ 3 d3)))
0.5b	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))
0.5b	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
56×	`cbrt-prod`
48×	`*-un-lft-identity`
46×	`sqrt-prod`
28×	`cbrt-div`
24×	`sqrt-div`
22×	`associate-r` `associate-l`
18×	`add-cube-cbrt` `distribute-lft-out` `unswap-sqr`
14×	`flip3-+` `flip-+`
8×	`frac-times` `pow1` `add-exp-log`
6×	`add-cbrt-cube`
4×	`associate-l/` `associate-r/` `add-log-exp`
2×	`pow1/3` `swap-sqr` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 132

Calls

4 calls:

10.0ms	(cbrt (+ d2 (+ 3 d3)))
12.0ms	(cbrt (+ d2 (+ 3 d3)))
88.0ms	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))
78.0ms	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ d2 (+ 3 d3)))
125.0ms	(cbrt (+ d2 (+ 3 d3)))
122.0ms	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))
140.0ms	(* (sqrt (cbrt (+ d2 (+ 3 d3)))) (cbrt (sqrt (+ d2 (+ 3 d3)))))

simplify2.1s

Counts

144 → 144

Iterations

Iter	Nodes
4	4310
3	1664
2	668
1	286
0	134

prune2.5s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	10
1	10
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	9524×	body	80	valid
96.0ms	211×	body	640	valid
69.0ms	89×	body	1280	valid
39.0ms	161×	body	320	valid
14.0ms	82×	body	160	valid