Details

sample47.0ms

Algorithm

intervals

Results

29.0ms

304×

body

valid

simplify70.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	79
6	79
5	78
4	71
3	58
2	35
1	16
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize11.0ms

Local error

Found 1 expressions with local error:

9.7b	(/ (* a1 a2) (* b1 b2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `pow1` `clear-num` `associate-/r` `frac-2neg` `-un-lft-identity` `times-frac` `add-cube-cbrt` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

11.0ms

(/ (* a1 a2) (* b1 b2))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (* a1 a2) (* b1 b2))

simplify1.7s

Counts

25 → 25

Iterations

Iter	Nodes
done	5002
2	812
1	160
0	56

prune130.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

9.8b	(* (/ a1 b1) (/ a2 b2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
22×	`times-frac`
15×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`pow1`
2×	`div-inv`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `insert-posit16` `add-log-exp`

Counts

1 → 51

Calls

1 calls:

16.0ms

(* (/ a1 b1) (/ a2 b2))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

(* (/ a1 b1) (/ a2 b2))

simplify2.5s

Counts

54 → 54

Iterations

Iter	Nodes
done	5013
3	4403
2	1117
1	330
0	112

prune208.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b2)
0.6b	(cbrt b2)
0.9b	(* (/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2)))) (/ (cbrt a2) (cbrt b2)))
6.5b	(/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

162×	`add-exp-log`
116×	`times-frac`
100×	`add-sqr-sqrt`
92×	`add-cbrt-cube`
80×	`cbrt-undiv` `div-exp`
54×	`cbrt-prod`
53×	`*-un-lft-identity` `add-cube-cbrt`
46×	`prod-exp` `cbrt-unprod`
40×	`associate-r`
20×	`associate-l`
15×	`unswap-sqr`
13×	`associate-/l*`
6×	`pow1` `associate-/r/` `div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-r/`
2×	`pow1/3`
1×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `-commutative` `associate-/l/`

Counts

4 → 218

Calls

4 calls:

1.0ms	(cbrt b2)
1.0ms	(cbrt b2)
64.0ms	(* (/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2)))) (/ (cbrt a2) (cbrt b2)))
28.0ms	(/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(cbrt b2)
306.0ms	(cbrt b2)
46.0ms	(* (/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2)))) (/ (cbrt a2) (cbrt b2)))
152.0ms	(/ (/ a1 b1) (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))))

simplify3.0s

Counts

230 → 230

Iterations

Iter	Nodes
done	5009
2	4937
1	1186
0	371

prune1.2s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt b2)
0.9b	(* (/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)) (/ (cbrt a2) (cbrt b2)))
1.7b	(* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)
4.8b	(/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-exp-log`
74×	`add-cbrt-cube`
50×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
46×	`times-frac`
43×	`cbrt-prod` `associate-r`
41×	`cbrt-undiv` `div-exp`
35×	`*-un-lft-identity` `add-cube-cbrt`
13×	`associate-*l/`
11×	`pow1` `associate-l`
6×	`associate-/r/` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/3`

Counts

4 → 170

Calls

4 calls:

1.0ms	(cbrt b2)
217.0ms	(* (/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)) (/ (cbrt a2) (cbrt b2)))
55.0ms	(* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)
38.0ms	(/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1))

series675.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(cbrt b2)
57.0ms	(* (/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)) (/ (cbrt a2) (cbrt b2)))
218.0ms	(* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1)
169.0ms	(/ a1 (* (* (/ (cbrt b2) (cbrt a2)) (/ (cbrt b2) (cbrt a2))) b1))

simplify3.2s

Counts

182 → 182

Iterations

Iter	Nodes
done	5023
2	4422
1	976
0	316

prune868.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes561.0ms

Accuracy

22.4% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 6.4b

bsearch2.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	48
3	48
2	45
1	42
0	32

end0.0ms

sample1.2s

Algorithm

intervals

Results

875.0ms

9990×

body

valid