Details

sample42.0ms

Algorithm

intervals

Results

20.0ms

327×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	31	7
4	42	7
5	49	7
6	58	7
7	76	7
8	96	7
9	118	7
10	134	7
11	148	7
12	156	7
13	170	7
14	185	7
15	200	7
16	262	7
17	299	7
18	382	7
19	410	7
20	457	7
21	461	7
done	461	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

7.0ms	(+ x (* (- y x) z))
39.0ms	(* (- y x) z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (* (- y x) z))
40.0ms	(* (- y x) z)

simplify2.1s

Counts

39 → 39

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1864	303
done	5000	303

prune81.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
2.7b	(- (* y y) (* x x))
10.0b	(* (- (* y y) (* x x)) z)
19.6b	(/ (* (- (* y y) (* x x)) z) (+ y x))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

43.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
17.0ms	(- (* y y) (* x x))
54.0ms	(* (- (* y y) (* x x)) z)
60.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

series259.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (/ (* (- (* y y) (* x x)) z) (+ y x)))
34.0ms	(- (* y y) (* x x))
53.0ms	(* (- (* y y) (* x x)) z)
73.0ms	(/ (* (- (* y y) (* x x)) z) (+ y x))

simplify1.3s

Counts

85 → 85

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	125	1308
1	345	1232
2	1395	1064
done	5000	874

prune298.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ 1 (- y x)) z)))
0.0b	(/ 1 (- y x))
0.2b	(/ (/ 1 (- y x)) z)
0.4b	(/ 1 (/ (/ 1 (- y x)) z))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

771×	`times-frac`
443×	`*-un-lft-identity`
440×	`add-sqr-sqrt`
336×	`add-cube-cbrt`
75×	`associate-/r*`
52×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
36×	`div-exp`
35×	`associate-/r/`
27×	`associate-/l*`
24×	`div-inv`
20×	`add-cbrt-cube`
17×	`flip3--` `flip--`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `distribute-lft-out` `inv-pow`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `associate-/l/`

Counts

4 → 460

Calls

4 calls:

130.0ms	(+ x (/ 1 (/ (/ 1 (- y x)) z)))
15.0ms	(/ 1 (- y x))
39.0ms	(/ (/ 1 (- y x)) z)
71.0ms	(/ 1 (/ (/ 1 (- y x)) z))

series229.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(+ x (/ 1 (/ (/ 1 (- y x)) z)))
54.0ms	(/ 1 (- y x))
75.0ms	(/ (/ 1 (- y x)) z)
38.0ms	(/ 1 (/ (/ 1 (- y x)) z))

simplify4.2s

Counts

472 → 472

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	567	8820
1	1318	6444
2	2136	5345
3	4875	5321
done	5002	5321

prune796.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
88×	`*-un-lft-identity`
86×	`add-sqr-sqrt`
58×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
11×	`add-exp-log`
7×	`add-cbrt-cube` `div-inv`
6×	`div-exp`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv`
2×	`pow1` `div-sub` `associate-/l/`
1×	`+-commutative` `associate-+r-` `rec-exp` `flip3--` `frac-2neg` `flip3-+` `1-exp` `clear-num` `sum-log` `associate-/r/` `flip--` `flip-+` `distribute-lft-out`

Counts

2 → 116

Calls

2 calls:

63.0ms	(+ x (/ (- y x) (/ 1 z)))
52.0ms	(/ (- y x) (/ 1 z))

series93.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ x (/ (- y x) (/ 1 z)))
39.0ms	(/ (- y x) (/ 1 z))

simplify2.9s

Counts

122 → 122

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	206	1883
1	557	1407
2	1154	1299
3	2973	1299
done	5002	1299

prune255.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes105.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample904.0ms

Algorithm

intervals

Results

363.0ms

10165×

body

valid