Details

sample93.0ms

Algorithm

intervals

Results

57.0ms

530×

body

valid

simplify74.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	54
4	54
3	48
2	42
1	24
0	11

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

253.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
50.0ms	(* (/ x y) (/ x y))
2.2s	(* (/ z t) (/ z t))

series366.0ms

Counts

3 → 9

Calls

3 calls:

227.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
51.0ms	(* (/ x y) (/ x y))
71.0ms	(* (/ z t) (/ z t))

simplify7.0s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3085
1	897
0	255

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ z t)) (cbrt (/ z t)))
9.5b	(cbrt (/ z t))
9.5b	(cbrt (/ z t))
9.5b	(cbrt (/ z t))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

51.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
4.0ms	(cbrt (/ z t))
4.0ms	(cbrt (/ z t))
5.0ms	(cbrt (/ z t))

series612.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (/ z t)) (cbrt (/ z t)))
134.0ms	(cbrt (/ z t))
133.0ms	(cbrt (/ z t))
127.0ms	(cbrt (/ z t))

simplify10.2s

Counts

156 → 156

Iterations

Iter	Nodes
done	5241
4	4594
3	1360
2	635
1	279
0	161

prune2.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))
9.5b	(cbrt (/ z t))
17.5b	(cbrt (* (/ z t) (/ z t)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
89×	`times-frac`
67×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
18×	`pow1`
14×	`cbrt-prod`
9×	`div-inv`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-div` `add-log-exp`
3×	`frac-times` `associate-r/` `associate-l/`
2×	`pow2` `pow-plus` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 168

Calls

4 calls:

44.0ms	(* (/ x y) (/ x y))
44.0ms	(* (/ z t) (/ z t))
5.0ms	(cbrt (/ z t))
40.0ms	(cbrt (* (/ z t) (/ z t)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(* (/ x y) (/ x y))
107.0ms	(* (/ z t) (/ z t))
180.0ms	(cbrt (/ z t))
165.0ms	(cbrt (* (/ z t) (/ z t)))

simplify5.3s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2701
1	844
0	279

prune3.2s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0b

localize123.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
3.6b	(cbrt (/ (cbrt z) t))
17.5b	(cbrt (* (/ z t) (/ z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`frac-times` `associate-r/` `associate-l/` `div-inv`

Counts

4 → 63

Calls

4 calls:

2.0ms	(cbrt z)
11.0ms	(cbrt (* (cbrt z) (cbrt z)))
6.0ms	(cbrt (/ (cbrt z) t))
17.0ms	(cbrt (* (/ z t) (/ z t)))

series3.2s

Counts

4 → 12

Calls

4 calls:

1.2s	(cbrt z)
1.4s	(cbrt (* (cbrt z) (cbrt z)))
412.0ms	(cbrt (/ (cbrt z) t))
162.0ms	(cbrt (* (/ z t) (/ z t)))

simplify7.6s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
3	1892
2	667
1	291
0	167

prune2.8s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample9.2s

Algorithm

intervals

Results

8.3s

15535×

body

valid