Details

sample62.0ms

Algorithm

intervals

Results

26.0ms

382×

body

valid

simplify22.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	18	11
2	25	11
3	27	11
done	27	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.0b	(+ (* x y) (* z t))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

54.0ms	(+ (+ (* x y) (* z t)) (* a b))
12.0ms	(+ (* x y) (* z t))

series110.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(+ (+ (* x y) (* z t)) (* a b))
42.0ms	(+ (* x y) (* z t))

simplify800.0ms

Counts

30 → 30

Iterations

Useful iterations: done (799.0ms)

Iter	Nodes	Cost
0	57	421
1	190	395
2	926	373
done	5000	369

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))
0.9b	(cbrt (+ (* x y) (* z t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

57.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
7.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))
13.0ms	(cbrt (+ (* x y) (* z t)))

series616.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
149.0ms	(cbrt (+ (* x y) (* z t)))
137.0ms	(cbrt (+ (* x y) (* z t)))
161.0ms	(cbrt (+ (* x y) (* z t)))

simplify993.0ms

Counts

99 → 99

Iterations

Useful iterations: done (989.0ms)

Iter	Nodes	Cost
0	127	2030
1	335	1881
2	1143	1751
done	5000	1634

prune436.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.2b	(* (* z t) (* z t))
2.8b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
26.8b	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`pow-plus` `associate-/l*`
3×	`flip3--` `associate-/r*` `flip--`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-/r/` `*-commutative` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 117

Calls

4 calls:

39.0ms	(* (* x y) (* x y))
35.0ms	(* (* z t) (* z t))
44.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
112.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x y) (* x y))
46.0ms	(* (* z t) (* z t))
117.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
112.0ms	(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (- (* x y) (* z t)))

simplify1.5s

Counts

129 → 129

Iterations

Useful iterations: 2 (321.0ms)

Iter	Nodes	Cost
0	152	2250
1	438	1968
2	2693	1542
done	5000	1542

prune339.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.1b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.2b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

12.0ms	(+ (* x y) (* z t))
41.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
43.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
206.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

series1.2s

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x y) (* z t))
546.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
533.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
82.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))

simplify916.0ms

Counts

110 → 110

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	135	2914
1	367	2123
2	1840	1967
done	5000	1916

prune344.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes664.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	16	11
done	16	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

719.0ms

11780×

body

valid