Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

309×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	13	164
2	20	164
3	34	164
4	55	164
5	65	164
6	71	164
7	88	164
8	122	164
9	305	164
10	1249	164
done	5000	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (- x 1.0) z))
0.0b	(* (- x 1.0) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ (* x y) (* (- x 1.0) z))
27.0ms	(* (- x 1.0) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* x y) (* (- x 1.0) z))
41.0ms	(* (- x 1.0) z)

simplify915.0ms

Counts

39 → 39

Iterations

Useful iterations: 2 (204.0ms)

Iter	Nodes	Cost
0	71	7897
1	191	6914
2	759	6834
done	5001	6834

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

46.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
7.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series981.0ms

Counts

4 → 12

Calls

4 calls:

348.0ms	(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
204.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
195.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
233.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify1.4s

Counts

99 → 99

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	132	44518
1	341	40099
2	1216	39697
done	5001	39017

prune647.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))
0.6b	(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

7.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
7.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
7.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
4.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

series900.0ms

Counts

4 → 12

Calls

4 calls:

222.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
253.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
227.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))
198.0ms	(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify2.1s

Counts

64 → 64

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	69	27844
1	179	25632
2	536	25312
3	2791	24672
done	5000	23668

prune565.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (- x 1.0) z) (* (- x 1.0) z))
0.2b	(* (* x y) (* x y))
3.2b	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.0b	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

82×	`pow1`
34×	`pow-prod-down`
30×	`add-cbrt-cube` `add-exp-log`
16×	`prod-exp` `cbrt-unprod`
14×	`associate-*l/`
13×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`flip3--` `flip--`
8×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`frac-times` `pow-plus` `associate-/l*`
3×	`associate-/r*`
2×	`pow2` `swap-sqr` `associate-r` `associate-l` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 125

Calls

4 calls:

64.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
42.0ms	(* (* x y) (* x y))
36.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
88.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (- x 1.0) z) (* (- x 1.0) z))
45.0ms	(* (* x y) (* x y))
107.0ms	(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
170.0ms	(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify2.7s

Counts

137 → 137

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	189	43122
1	572	34235
2	3395	31235
done	5000	31075

prune635.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes323.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	164
1	11	164
done	11	164

end0.0ms

sample943.0ms

Algorithm

intervals

Results

538.0ms

10127×

body

valid