Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	312×	body	80	valid
1.0ms	9×	body	640	valid
0.0ms	5×	body	320	valid
0.0ms	3×	body	1280	valid
0.0ms	6×	body	160	valid

simplify30.0ms

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ d2 (+ 3.0 d3)))

rewrite65.0ms

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:

64.0ms

(* d1 (+ d2 (+ 3.0 d3)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* d1 (+ d2 (+ 3.0 d3)))

simplify2.2s

Counts

27 → 27

Iterations

Iter	Nodes
done	5134
3	3362
2	622
1	164
0	51

prune130.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))

rewrite553.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
29×	`*-un-lft-identity`
28×	`frac-times`
20×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
12×	`distribute-lft-out`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube` `associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 97

Calls

4 calls:

512.0ms	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))
10.0ms	(cbrt (+ d2 (+ 3.0 d3)))
10.0ms	(cbrt (+ d2 (+ 3.0 d3)))
17.0ms	(cbrt (+ d2 (+ 3.0 d3)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (+ d2 (+ 3.0 d3))))
129.0ms	(cbrt (+ d2 (+ 3.0 d3)))
145.0ms	(cbrt (+ d2 (+ 3.0 d3)))
120.0ms	(cbrt (+ d2 (+ 3.0 d3)))

simplify2.4s

Counts

109 → 109

Iterations

Iter	Nodes
done	5002
2	1513
1	486
0	168

prune615.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3)))))
0.3b	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(cbrt (+ d2 (+ 3.0 d3)))

rewrite2.0s

Algorithm

rewrite-expression-head

Rules

232×	`cbrt-div`
140×	`frac-times`
116×	`flip3-+` `flip-+`
108×	`sqrt-div`
100×	`associate-*r/`
76×	`*-un-lft-identity`
70×	`associate-*l/`
54×	`cbrt-prod`
33×	`distribute-lft-out`
25×	`add-sqr-sqrt` `pow1`
20×	`add-exp-log`
19×	`associate-r`
17×	`add-cube-cbrt`
14×	`swap-sqr`
12×	`pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cbrt-cube` `associate-l`
8×	`pow1/3`
5×	`sqrt-prod`
4×	`add-log-exp` `unswap-sqr`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 202

Calls

4 calls:

1.8s	(* (* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3)))))
137.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
10.0ms	(cbrt (+ d2 (+ 3.0 d3)))
16.0ms	(cbrt (+ d2 (+ 3.0 d3)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* d1 (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3))))) (cbrt (sqrt (+ d2 (+ 3.0 d3)))))
125.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
117.0ms	(cbrt (+ d2 (+ 3.0 d3)))
113.0ms	(cbrt (+ d2 (+ 3.0 d3)))

simplify2.9s

Counts

214 → 214

Iterations

Iter	Nodes
done	5007
2	3050
1	991
0	359

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ d2 (+ 3.0 d3)))
0.7b	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
2.7b	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
20.0b	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

97×	`cbrt-prod`
87×	`*-un-lft-identity`
63×	`times-frac`
58×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
20×	`difference-of-squares`
16×	`distribute-lft-out--`
11×	`distribute-lft-out`
9×	`associate-/r*`
8×	`cbrt-div`
7×	`associate-/l*`
6×	`add-exp-log` `add-log-exp`
4×	`pow1` `flip3--` `add-cbrt-cube` `flip--`
2×	`pow1/3` `associate-/r/` `associate--r+` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-exp` `flip-+` `div-inv`

Counts

4 → 139

Calls

4 calls:

20.0ms	(cbrt (+ d2 (+ 3.0 d3)))
41.0ms	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
11.0ms	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
9.0ms	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

series583.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ d2 (+ 3.0 d3)))
184.0ms	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
53.0ms	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
208.0ms	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

simplify1.8s

Counts

151 → 151

Iterations

Iter	Nodes
done	5000
2	1320
1	522
0	253

prune1.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes158.0ms

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
done	10
1	10
0	7

end0.0ms

sample1.0s

Algorithm

intervals

Results

584.0ms	9576×	body	80	valid
42.0ms	140×	body	320	valid
37.0ms	212×	body	640	valid
16.0ms	73×	body	1280	valid
8.0ms	101×	body	160	valid