Details

sample37.0ms

Algorithm

intervals

Results

15.0ms

331×

body

valid

simplify1.2s

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

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

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:

33.0ms	(* (- y x) z)
15.0ms	(+ x (* (- y x) z))

series88.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* (- y x) z)
35.0ms	(+ x (* (- y x) z))

simplify2.0s

Counts

39 → 39

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	504	303
3	1870	303
done	5000	303

prune140.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- y x)) (cbrt (- y x)))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))
0.5b	(cbrt (- y x))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

57.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
6.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))
9.0ms	(cbrt (- y x))

series863.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
223.0ms	(cbrt (- y x))
241.0ms	(cbrt (- y x))
210.0ms	(cbrt (- y x))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	617	1223
3	1340	1128
4	3525	1080
done	5000	1032

prune417.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite221.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`associate-l`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*l/`
8×	`add-log-exp` `difference-of-squares`
7×	`add-cube-cbrt`
5×	`flip3--` `flip--`
4×	`frac-times` `flip3-+` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`associate-r/` `-commutative`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

20.0ms	(+ (sqrt y) (sqrt x))
22.0ms	(- (sqrt y) (sqrt x))
50.0ms	(* (- (sqrt y) (sqrt x)) z)
123.0ms	(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

series470.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (sqrt y) (sqrt x))
88.0ms	(- (sqrt y) (sqrt x))
94.0ms	(* (- (sqrt y) (sqrt x)) z)
228.0ms	(* (+ (sqrt y) (sqrt x)) (* (- (sqrt y) (sqrt x)) z))

simplify1.1s

Counts

97 → 97

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	127	1343
1	338	1043
2	1343	888
done	5000	888

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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

sample930.0ms

Algorithm

intervals

Results

427.0ms

10074×

body

valid