Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

319×

body

valid

simplify174.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	28	7
4	39	7
5	44	7
6	49	7
7	58	7
8	75	7
9	91	7
10	102	7
11	104	7
12	108	7
13	109	7
done	109	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

25.0ms	(+ x (/ (- y x) z))
34.0ms	(/ (- y x) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ (- y x) z))
62.0ms	(/ (- y x) z)

simplify1.5s

Counts

57 → 57

Iterations

Useful iterations: 2 (130.0ms)

Iter	Nodes	Cost
0	94	588
1	222	544
2	584	520
3	2065	520
done	5000	520

prune167.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ y z))
0.0b	(- (+ x (/ y z)) (/ x z))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `times-frac` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

19.0ms	(+ x (/ y z))
121.0ms	(- (+ x (/ y z)) (/ x z))

series44.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ x (/ y z))
25.0ms	(- (+ x (/ y z)) (/ x z))

simplify1.2s

Counts

38 → 38

Iterations

Useful iterations: 3 (317.0ms)

Iter	Nodes	Cost
0	65	506
1	164	476
2	495	458
3	1677	450
done	5000	450

prune77.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- y x))
0.0b	(+ x (/ 1 (/ z (- y x))))
0.3b	(/ 1 (/ z (- y x)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
106×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out`
1×	`+-commutative` `pow-flip` `flip3-+` `sum-log` `flip-+` `inv-pow`

Counts

3 → 158

Calls

3 calls:

15.0ms	(/ z (- y x))
59.0ms	(+ x (/ 1 (/ z (- y x))))
39.0ms	(/ 1 (/ z (- y x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ z (- y x))
37.0ms	(+ x (/ 1 (/ z (- y x))))
52.0ms	(/ 1 (/ z (- y x)))

simplify3.3s

Counts

167 → 167

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	224	2310
1	481	1943
2	1033	1716
3	3136	1664
done	5000	1664

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- y x) z)
0.2b	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
2.1b	(sqrt (/ (- y x) z))
2.1b	(sqrt (/ (- y x) z))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt`
140×	`sqrt-prod`
138×	`*-un-lft-identity`
125×	`times-frac`
76×	`add-cube-cbrt`
30×	`swap-sqr`
28×	`distribute-lft-out--`
22×	`associate-r` `associate-l` `difference-of-squares`
21×	`pow1`
10×	`sqrt-pow1` `pow1/2`
9×	`unswap-sqr`
8×	`add-exp-log` `add-cbrt-cube`
7×	`div-inv`
6×	`sqrt-div`
5×	`pow-prod-up` `associate-/l*`
4×	`rem-sqrt-square` `add-log-exp`
3×	`pow-prod-down` `associate-/r*` `pow-sqr`
2×	`associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-times` `flip3--` `frac-2neg` `pow-plus` `sqrt-unprod` `div-sub` `associate-r/` `div-exp` `associate-l/` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 211

Calls

4 calls:

32.0ms	(/ (- y x) z)
109.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
17.0ms	(sqrt (/ (- y x) z))
17.0ms	(sqrt (/ (- y x) z))

series286.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (- y x) z)
80.0ms	(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
77.0ms	(sqrt (/ (- y x) z))
100.0ms	(sqrt (/ (- y x) z))

simplify2.6s

Counts

223 → 223

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	211	3388
1	377	2442
2	1163	2315
3	3795	2269
done	5001	2241

prune641.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample829.0ms

Algorithm

intervals

Results

451.0ms

10083×

body

valid