Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

408×

body

valid

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	8	15
1	15	15
2	25	13
3	38	9
4	46	9
5	47	9
done	47	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

2.0ms	(+ (* x y) (* z z))
11.0ms	(+ (+ (* x y) (* z z)) (* z z))
43.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series132.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x y) (* z z))
45.0ms	(+ (+ (* x y) (* z z)) (* z z))
49.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify1.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (431.0ms)

Iter	Nodes	Cost
0	70	791
1	216	667
2	755	601
3	2501	520
done	5000	520

prune110.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))

rewrite41.0ms

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:

29.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (+ (* 2 (pow z 2)) (* x y))) (cbrt (+ (* 2 (pow z 2)) (* x y))))
112.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
112.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
112.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (421.0ms)

Iter	Nodes	Cost
0	124	2420
1	285	2231
2	783	2017
3	2358	1786
done	5000	1786

prune326.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 3 (pow z 2)) (* x y)))

rewrite35.0ms

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:

22.0ms	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
2.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (+ (* 3 (pow z 2)) (* x y))) (cbrt (+ (* 3 (pow z 2)) (* x y))))
111.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
112.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))
112.0ms	(cbrt (+ (* 3 (pow z 2)) (* x y)))

simplify1.1s

Counts

99 → 99

Iterations

Useful iterations: 3 (412.0ms)

Iter	Nodes	Cost
0	122	2414
1	281	2225
2	769	2011
3	2285	1780
done	5001	1780

prune326.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.9b	(cbrt (+ (* 2 (pow z 2)) (* x y)))

rewrite13.0ms

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:

3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
3.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
112.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
110.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))
114.0ms	(cbrt (+ (* 2 (pow z 2)) (* x y)))

simplify902.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (238.0ms)

Iter	Nodes	Cost
0	66	1208
1	170	1160
2	458	1040
3	1464	1000
done	5000	1000

prune287.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	12	15
done	12	15

end0.0ms

sample538.0ms

Algorithm

intervals

Results

305.0ms

12177×

body

valid