Details

sample52.0ms

Algorithm

intervals

Results

23.0ms	319×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify172.0ms

Counts

1 → 1

Iterations

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

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 1 expressions with local error:

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

rewrite143.0ms

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:

142.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify6.9s

Counts

28 → 28

Iterations

Iter	Nodes
done	5063
3	3681
2	633
1	166
0	52

prune339.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize95.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ d2 (+ 3.0 d3)))
0.3b	(cbrt (+ d2 (+ 3.0 d3)))
0.3b	(cbrt (+ d2 (+ 3.0 d3)))
0.4b	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))

rewrite333.0ms

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` `insert-posit16` `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 → 109

Calls

4 calls:

23.0ms	(cbrt (+ d2 (+ 3.0 d3)))
24.0ms	(cbrt (+ d2 (+ 3.0 d3)))
24.0ms	(cbrt (+ d2 (+ 3.0 d3)))
253.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))

series767.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (+ d2 (+ 3.0 d3)))
194.0ms	(cbrt (+ d2 (+ 3.0 d3)))
178.0ms	(cbrt (+ d2 (+ 3.0 d3)))
211.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))

simplify5.0s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
3	2290
2	845
1	332
0	138

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize179.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ d2 (+ 3.0 d3)))
0.3b	(cbrt (cbrt (+ d2 (+ 3.0 d3))))
0.4b	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
0.4b	(cbrt (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3)))))

rewrite477.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`cbrt-div`
30×	`distribute-lft-out`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`flip3-+` `swap-sqr` `flip-+`
11×	`pow1`
9×	`pow1/3`
8×	`frac-times` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `insert-posit16` `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 → 114

Calls

4 calls:

44.0ms	(cbrt (+ d2 (+ 3.0 d3)))
25.0ms	(cbrt (cbrt (+ d2 (+ 3.0 d3))))
293.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
95.0ms	(cbrt (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3)))))

series828.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt (+ d2 (+ 3.0 d3)))
197.0ms	(cbrt (cbrt (+ d2 (+ 3.0 d3))))
206.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
236.0ms	(cbrt (* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3)))))

simplify6.1s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
3	3426
2	1344
1	525
0	234

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize193.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
0.6b	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
2.6b	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
21.0b	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

rewrite472.0ms

Algorithm

rewrite-expression-head

Rules

133×	`*-un-lft-identity`
128×	`cbrt-prod`
73×	`add-sqr-sqrt`
63×	`times-frac`
49×	`add-cube-cbrt`
32×	`distribute-lft-out`
20×	`difference-of-squares`
18×	`cbrt-div`
16×	`distribute-lft-out--`
14×	`swap-sqr`
11×	`pow1`
9×	`associate-/r*`
8×	`associate-r` `associate-l` `add-exp-log`
7×	`pow1/3` `associate-/l*`
6×	`flip3-+` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `add-cbrt-cube` `insert-posit16` `flip--` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `associate-/r/` `pow-sqr` `pow-prod-up` `associate--r+` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 188

Calls

4 calls:

263.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
139.0ms	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
31.0ms	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
14.0ms	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

series979.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (+ d2 (+ 3.0 d3))) (cbrt (+ d2 (+ 3.0 d3))))
306.0ms	(/ (cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))) (cbrt (- d2 (+ 3.0 d3))))
83.0ms	(- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3)))
360.0ms	(cbrt (- (* d2 d2) (* (+ 3.0 d3) (+ 3.0 d3))))

simplify4.2s

Counts

200 → 200

Iterations

Iter	Nodes
done	5001
2	1584
1	641
0	304

prune2.5s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes547.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.5s

Algorithm

intervals

Results

770.0ms	9727×	body	80	valid
92.0ms	187×	body	640	valid
59.0ms	131×	body	320	valid
31.0ms	93×	body	1280	valid
12.0ms	86×	body	160	valid