Details

sample32.0ms

Algorithm

intervals

Results

16.0ms	346×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	12	15
1	30	15
2	83	15
3	252	13
4	599	13
5	824	13
6	838	13
done	838	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite2.7s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

582.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
202.0ms	(+ (+ (+ y z) z) y)
41.0ms	(+ (+ y z) z)
1.9s	(* x (+ (+ (+ (+ y z) z) y) t))

series227.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(+ (+ (+ y z) z) y)
35.0ms	(+ (+ y z) z)
58.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify857.0ms

Counts

83 → 83

Iterations

Useful iterations: done (853.0ms)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1399	926
done	5000	915

prune249.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (+ (+ y z) z) y) x)
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* t x) (* y 5.0))
0.0b	(+ (+ y z) z)

rewrite706.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
20×	`add-log-exp`
15×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
4×	`flip3-+` `flip-+`
3×	`+-commutative` `associate-r`
2×	`associate-+l+` `associate-*l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

469.0ms	(* (+ (+ (+ y z) z) y) x)
199.0ms	(+ (+ (+ y z) z) y)
8.0ms	(+ (* t x) (* y 5.0))
28.0ms	(+ (+ y z) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (+ (+ (+ y z) z) y) x)
51.0ms	(+ (+ (+ y z) z) y)
49.0ms	(+ (* t x) (* y 5.0))
30.0ms	(+ (+ y z) z)

simplify1.4s

Counts

78 → 78

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	114	834
1	307	793
2	1133	719
done	5001	623

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite4.0s

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:

2.9s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
325.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
351.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
335.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.9s

Counts

4 → 12

Calls

4 calls:

562.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
442.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
465.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
387.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify863.0ms

Counts

99 → 99

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	173	4040
1	408	3811
2	1196	3573
done	5000	2730

prune533.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.6b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
0.6b	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

rewrite296.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

281.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

series1.9s

Counts

4 → 12

Calls

4 calls:

399.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
462.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
437.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
554.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))

simplify1.1s

Counts

64 → 64

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	151	1955
1	388	1899
2	1159	1768
done	5000	1610

prune509.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	21	17
done	21	17

end0.0ms

sample1.7s

Algorithm

intervals

Results

898.0ms	10643×	body	80	valid
371.0ms	90×	body	1280	valid
18.0ms	79×	body	640	valid
14.0ms	74×	body	320	valid
3.0ms	25×	body	160	valid