Details

sample63.0ms

Algorithm

intervals

Results

32.0ms	330×	body	80	valid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 3 (70.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.4s

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:

143.0ms	(+ (+ (+ y z) z) y)
600.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
38.0ms	(+ (+ y z) z)
1.7s	(* x (+ (+ (+ (+ y z) z) y) t))

series201.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (+ (+ y z) z) y)
75.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
26.0ms	(+ (+ y z) z)
64.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify1.1s

Counts

83 → 83

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	130	1085
1	370	1004
2	1397	926
done	5000	915

prune219.0ms

Pruning

7 alts after pruning (7 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) x) (* t x)) (* y 5.0))
0.0b	(+ (* (+ (+ (+ y z) z) y) x) (* t x))
0.0b	(+ (+ y z) z)

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-log-exp`
9×	`distribute-lft-out`
8×	`add-sqr-sqrt`
7×	`sum-log`
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×	`distribute-rgt-out` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

538.0ms	(* (+ (+ (+ y z) z) y) x)
731.0ms	(+ (+ (* (+ (+ (+ y z) z) y) x) (* t x)) (* y 5.0))
164.0ms	(+ (* (+ (+ (+ y z) z) y) x) (* t x))
54.0ms	(+ (+ y z) z)

series262.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ (+ (+ y z) z) y) x)
94.0ms	(+ (+ (* (+ (+ (+ y z) z) y) x) (* t x)) (* y 5.0))
69.0ms	(+ (* (+ (+ (+ y z) z) y) x) (* t x))
30.0ms	(+ (+ y z) z)

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	123	1135
1	352	987
2	1415	919
done	5000	912

prune283.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.3s

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
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 → 131

Calls

4 calls:

3.1s	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
416.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
405.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
381.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.4s

Counts

4 → 12

Calls

4 calls:

444.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
339.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
333.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
321.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify2.0s

Counts

143 → 143

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	124	3322
1	266	3054
2	742	2903
3	3017	2025
done	5000	1993

prune664.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.2s

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:

3.0s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y))))
383.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))
432.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))
362.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))

series1.9s

Counts

4 → 12

Calls

4 calls:

593.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y))))
450.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))
420.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))
436.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* 5.0 y)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	173	4040
1	408	3811
2	1197	3573
done	5000	2730

prune593.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.2s	10642×	body	80	valid
25.0ms	100×	body	1280	valid
20.0ms	99×	body	640	valid
14.0ms	69×	body	320	valid
3.0ms	30×	body	160	valid