Details

sample57.0ms

Algorithm

intervals

Results

31.0ms

484×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ x y) (/ x y))
0.4b	(* (/ z t) (/ z t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`*-un-lft-identity` `add-cube-cbrt`
27×	`add-cbrt-cube` `add-exp-log`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `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` `sum-log` `flip3-+` `flip-+`

Counts

3 → 154

Calls

3 calls:

11.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
20.0ms	(* (/ x y) (/ x y))
18.0ms	(* (/ z t) (/ z t))

series192.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
33.0ms	(* (/ x y) (/ x y))
42.0ms	(* (/ z t) (/ z t))

simplify1.7s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3077
1	897
0	255

prune856.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ z t) (/ z t))
24.3b	(cbrt (* (/ x y) (/ x y)))
24.3b	(cbrt (* (/ x y) (/ x y)))
24.3b	(cbrt (* (/ x y) (/ x y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`times-frac`
32×	`*-un-lft-identity` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
13×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`cbrt-div`
4×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `prod-exp` `associate-r/` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
3×	`cbrt-prod` `pow1/3`
1×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 103

Calls

4 calls:

17.0ms	(* (/ z t) (/ z t))
9.0ms	(cbrt (* (/ x y) (/ x y)))
9.0ms	(cbrt (* (/ x y) (/ x y)))
13.0ms	(cbrt (* (/ x y) (/ x y)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (/ z t) (/ z t))
117.0ms	(cbrt (* (/ x y) (/ x y)))
116.0ms	(cbrt (* (/ x y) (/ x y)))
97.0ms	(cbrt (* (/ x y) (/ x y)))

simplify2.7s

Counts

115 → 115

Iterations

Iter	Nodes
done	5094
3	4449
2	1473
1	460
0	158

prune732.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (/ x y)) (cbrt (/ x y)))
8.2b	(cbrt (/ x y))
8.2b	(cbrt (/ x y))
8.2b	(cbrt (/ x y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`*-un-lft-identity` `add-cube-cbrt`
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-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

32.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
3.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))
3.0ms	(cbrt (/ x y))

series365.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (cbrt (/ x y)) (cbrt (/ x y)))
86.0ms	(cbrt (/ x y))
82.0ms	(cbrt (/ x y))
87.0ms	(cbrt (/ x y))

simplify2.2s

Counts

156 → 156

Iterations

Iter	Nodes
done	5002
4	4206
3	1326
2	637
1	279
0	161

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x y) (/ x y))
0.4b	(* (/ z t) (/ z t))
8.2b	(cbrt (/ x y))
24.3b	(cbrt (* (/ x y) (/ x y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
89×	`times-frac`
67×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
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-l/` `associate-r/`
2×	`pow2` `pow-plus` `pow1/3` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 168

Calls

4 calls:

27.0ms	(* (/ x y) (/ x y))
29.0ms	(* (/ z t) (/ z t))
2.0ms	(cbrt (/ x y))
7.0ms	(cbrt (* (/ x y) (/ x y)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (/ x y) (/ x y))
34.0ms	(* (/ z t) (/ z t))
94.0ms	(cbrt (/ x y))
99.0ms	(cbrt (* (/ x y) (/ x y)))

simplify2.0s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2714
1	847
0	279

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	18
1	18
0	15

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.7s

15246×

body

valid