Details

sample50.0ms

Algorithm

intervals

Results

20.0ms	324×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	5×	body	320	valid
0.0ms	1×	body	640	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (73.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.6s

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:

615.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.8s	(* x (+ (+ (+ (+ y z) z) y) t))
159.0ms	(+ (+ (+ y z) z) y)
30.0ms	(+ (+ y z) z)

series209.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
56.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
35.0ms	(+ (+ (+ y z) z) y)
36.0ms	(+ (+ y z) z)

simplify948.0ms

Counts

83 → 83

Iterations

Useful iterations: done (944.0ms)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1400	926
done	5000	915

prune338.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

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)))

rewrite4.5s

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:

3.2s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
478.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
383.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
430.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.9s

Counts

4 → 12

Calls

4 calls:

623.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
431.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
469.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
388.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify1.2s

Counts

99 → 99

Iterations

Useful iterations: done (1.2s)

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

prune663.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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)))
0.7b	(pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3))
26.2b	(cbrt (pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3)))

rewrite485.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
12×	`unpow-prod-down`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`pow-pow` `flip3-+` `flip-+` `sqr-pow`
1×	`pow-to-exp` `pow-unpow` `pow-exp`

Counts

4 → 63

Calls

4 calls:

436.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
5.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
20.0ms	(pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3))
22.0ms	(cbrt (pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3)))

series4.1s

Counts

4 → 12

Calls

4 calls:

454.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
589.0ms	(cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x)))
1.5s	(pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3))
1.6s	(cbrt (pow (cbrt (+ (* y 5.0) (* (+ (* 2 (+ y z)) t) x))) (* 2 3)))

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	245	2372
1	615	2118
2	1679	1946
done	5001	1844

prune668.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0s

Algorithm

rewrite-expression-head

Rules

47×	`*-un-lft-identity`
26×	`distribute-lft-out`
20×	`associate-r`
15×	`sqrt-prod`
14×	`sqrt-div` `add-log-exp`
13×	`add-sqr-sqrt`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`sum-log`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

39.0ms	(+ (+ y z) z)
48.0ms	(+ (+ y z) z)
1.4s	(* x (sqrt (+ (+ (+ (+ y z) z) y) t)))
2.5s	(* (* x (sqrt (+ (+ (+ (+ y z) z) y) t))) (sqrt (+ (+ (+ (+ y z) z) y) t)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (+ y z) z)
34.0ms	(+ (+ y z) z)
157.0ms	(* x (sqrt (+ (+ (+ (+ y z) z) y) t)))
126.0ms	(* (* x (sqrt (+ (+ (+ (+ y z) z) y) t))) (sqrt (+ (+ (+ (+ y z) z) y) t)))

simplify696.0ms

Counts

103 → 103

Iterations

Useful iterations: done (692.0ms)

Iter	Nodes	Cost
0	145	1933
1	385	1555
2	1236	1361
done	5000	1323

prune340.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes333.0ms

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

sample1.7s

Algorithm

intervals

Results

1.1s	10580×	body	80	valid
20.0ms	100×	body	640	valid
19.0ms	80×	body	1280	valid
11.0ms	71×	body	320	valid
2.0ms	25×	body	160	valid