Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

384×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4
done	47	4

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

7.0ms	(+ (* x y) z)
27.0ms	(* (+ (* x y) z) y)

series56.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* x y) z)
34.0ms	(* (+ (* x y) z) y)

simplify74.0ms

Counts

37 → 37

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	143	171
1	557	149
2	3035	148
3	5001	148
done	5001	148

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite67.0ms

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:

48.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))

series460.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
108.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))
108.0ms	(cbrt (+ (* x y) z))

simplify139.0ms

Counts

99 → 99

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	267	831
1	930	778
2	4394	715
3	5001	710
done	5001	710

prune281.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
7.0b	(cbrt (* (+ (* x y) z) y))
7.0b	(cbrt (* (+ (* x y) z) y))
7.0b	(cbrt (* (+ (* x y) z) y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

36.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))
9.0ms	(cbrt (* (+ (* x y) z) y))

series562.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
136.0ms	(cbrt (* (+ (* x y) z) y))
130.0ms	(cbrt (* (+ (* x y) z) y))
132.0ms	(cbrt (* (+ (* x y) z) y))

simplify149.0ms

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	354	828
1	1098	762
2	4863	684
3	5001	684
done	5001	684

prune268.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

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:

5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))
5.0ms	(cbrt (+ (* x y) z))

series455.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (* x y) z))
114.0ms	(cbrt (+ (* x y) z))
114.0ms	(cbrt (+ (* x y) z))
113.0ms	(cbrt (+ (* x y) z))

simplify120.0ms

Counts

64 → 64

Iterations

Useful iterations: 4 (115.0ms)

Iter	Nodes	Cost
0	144	436
1	365	408
2	1129	384
3	3882	380
4	5001	372
done	5001	372

prune272.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

0% (0.0b 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	12	4
1	12	4
done	12	4

end0.0ms

sample651.0ms

Algorithm

intervals

Results

255.0ms

11335×

body

valid