Details

sample31.0ms

Algorithm

intervals

Results

10.0ms

403×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5
done	27	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

8.0ms	(+ (* x y) (* z t))
33.0ms	(+ (+ (* x y) (* z t)) (* a b))

series96.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify77.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177
done	5001	177

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))
2.2b	(cbrt (+ (* x y) (* z t)))

rewrite62.0ms

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:

42.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
111.0ms	(cbrt (+ (* x y) (* z t)))
112.0ms	(cbrt (+ (* x y) (* z t)))
117.0ms	(cbrt (+ (* x y) (* z t)))

simplify89.0ms

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903
done	5002	903

prune305.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.3b	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite230.0ms

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-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

29.0ms	(+ (+ (* x y) (* z t)) (* a b))
138.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
32.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
29.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (+ (* x y) (* z t)) (* a b))
64.0ms	(* (sqrt (+ (+ (* x y) (* z t)) (* a b))) (sqrt (+ (+ (* x y) (* z t)) (* a b))))
440.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
439.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))

simplify47.0ms

Counts

112 → 112

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	292	1141
1	1289	1043
2	5001	1013
done	5001	1013

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.3b	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
0.4b	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

208.0ms	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
29.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
32.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
34.0ms	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

series1.2s

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3) (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))))
449.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
463.0ms	(sqrt (+ (+ (* x y) (* z t)) (* a b)))
237.0ms	(pow (sqrt (sqrt (+ (+ (* x y) (* z t)) (* a b)))) 3)

simplify90.0ms

Counts

163 → 163

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	511	2322
1	2359	1974
2	5002	1795
done	5002	1795

prune384.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes327.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5
done	16	5

end0.0ms

sample862.0ms

Algorithm

intervals

Results

328.0ms

11969×

body

valid