Details

sample61.0ms

Algorithm

intervals

Results

27.0ms	362×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (63.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.8s

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:

1.8s	(* x (+ (+ (+ (+ y z) z) y) t))
721.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
54.0ms	(+ (+ y z) z)
213.0ms	(+ (+ (+ y z) z) y)

series276.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
103.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
27.0ms	(+ (+ y z) z)
68.0ms	(+ (+ (+ y z) z) y)

simplify869.0ms

Counts

83 → 83

Iterations

Useful iterations: done (866.0ms)

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

prune329.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))
0.6b	(cbrt (+ (+ y z) z))

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 105

Calls

4 calls:

254.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
34.0ms	(cbrt (+ (+ y z) z))
43.0ms	(cbrt (+ (+ y z) z))
34.0ms	(cbrt (+ (+ y z) z))

series992.0ms

Counts

4 → 12

Calls

4 calls:

276.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
231.0ms	(cbrt (+ (+ y z) z))
231.0ms	(cbrt (+ (+ y z) z))
254.0ms	(cbrt (+ (+ y z) z))

simplify2.0s

Counts

117 → 117

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	128	1870
1	282	1720
2	721	1588
3	1821	1361
done	5000	1321

prune530.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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

rewrite5.0s

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:

3.4s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
416.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
864.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
375.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

651.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
455.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
395.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
461.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (995.0ms)

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

prune650.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.3b	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite5.2s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube` `distribute-lft-out`
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` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

168.0ms	(+ (+ (+ y z) z) y)
863.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
877.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
3.3s	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (+ (+ y z) z) y)
709.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
616.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
89.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify1.1s

Counts

116 → 116

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	159	3751
1	386	2747
2	1338	2527
done	5000	2102

prune558.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	15
1	19	15
done	19	15

end0.0ms

sample1.6s

Algorithm

intervals

Results

842.0ms	10625×	body	80	valid
64.0ms	119×	body	640	valid
20.0ms	75×	body	1280	valid
10.0ms	62×	body	320	valid
2.0ms	16×	body	160	valid