Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

440×

body

valid

simplify41.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	15
1	26	15
2	46	15
3	70	15
4	76	15
done	76	15

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

48.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
5.0ms	(+ (* x y) (* z t))
12.0ms	(+ (+ (* x y) (* z t)) (* a b))

series312.0ms

Counts

3 → 9

Calls

3 calls:

222.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
33.0ms	(+ (* x y) (* z t))
57.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify1.5s

Counts

47 → 47

Iterations

Useful iterations: 3 (458.0ms)

Iter	Nodes	Cost
0	85	777
1	273	719
2	977	689
3	3982	677
done	5000	677

prune149.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite299.0ms

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:

216.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
28.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series456.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
103.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
103.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
104.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: 3 (445.0ms)

Iter	Nodes	Cost
0	121	3550
1	282	3343
2	806	3107
3	2976	2718
done	5001	2718

prune411.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite338.0ms

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:

11.0ms	(+ (+ (* x y) (* z t)) (* a b))
53.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
53.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
218.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.9s

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.8s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.8s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
222.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify740.0ms

Counts

112 → 112

Iterations

Useful iterations: done (736.0ms)

Iter	Nodes	Cost
0	154	3831
1	378	2816
2	1390	2626
done	5000	2622

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
1.0b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
1.0b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
1.0b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite87.0ms

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:

62.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series556.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
119.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
122.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (428.0ms)

Iter	Nodes	Cost
0	128	2784
1	308	2609
2	827	2429
3	2423	2144
done	5000	2144

prune470.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes481.0ms

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	15	15
1	22	15
done	22	15

end0.0ms

sample1.2s

Algorithm

intervals

Results

550.0ms

13523×

body

valid