Details

sample38.0ms

Algorithm

intervals

Results

14.0ms

317×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	26	7
3	56	7
4	137	7
5	203	7
6	261	7
7	351	7
8	498	7
9	623	7
10	678	7
11	682	7
done	682	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

38.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify2.7s

Counts

36 → 36

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	84	448
1	240	433
2	911	401
3	3850	401
done	5002	401

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt` `flip3-+` `associate-*r/` `flip-+`
4×	`pow1` `add-exp-log` `associate-r` `associate-*l/` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
1×	`+-commutative` `neg-mul-1` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 50

Calls

2 calls:

27.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
32.0ms	(* (- z) (+ x y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* (+ x y) 1.0) (* (- z) (+ x y)))
50.0ms	(* (- z) (+ x y))

simplify927.0ms

Counts

56 → 56

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	109	766
1	370	707
2	1522	609
done	5000	609

prune176.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
3.1b	(cbrt (* (- z) (+ x y)))
3.1b	(cbrt (* (- z) (+ x y)))
3.1b	(cbrt (* (- z) (+ x y)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
14.0ms	(cbrt (* (- z) (+ x y)))
20.0ms	(cbrt (* (- z) (+ x y)))
9.0ms	(cbrt (* (- z) (+ x y)))

series1.0s

Counts

4 → 12

Calls

4 calls:

335.0ms	(* (cbrt (* (- z) (+ x y))) (cbrt (* (- z) (+ x y))))
188.0ms	(cbrt (* (- z) (+ x y)))
244.0ms	(cbrt (* (- z) (+ x y)))
249.0ms	(cbrt (* (- z) (+ x y)))

simplify1.8s

Counts

84 → 84

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	117	1300
1	279	1189
2	745	1075
3	2045	990
done	5000	953

prune383.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes111.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	15	12
2	19	12
3	24	12
done	24	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

460.0ms	10113×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid