Details

sample69.0ms

Algorithm

intervals

Results

10.0ms

311×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

22.0ms	(* y (- z x))
10.0ms	(+ x (* y (- z x)))

series94.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- z x))
49.0ms	(+ x (* y (- z x)))

simplify1.7s

Counts

47 → 47

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	73	409
1	173	381
2	505	351
3	2215	351
done	5000	351

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

8.0ms	(+ (* z y) x)
53.0ms	(+ (+ (* z y) x) (* y (- x)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify2.2s

Counts

32 → 32

Iterations

Useful iterations: 3 (710.0ms)

Iter	Nodes	Cost
0	51	369
1	164	335
2	611	314
3	2451	273
done	5001	273

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

24.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
2.0ms	(cbrt y)
10.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

306.0ms	(* (cbrt y) (cbrt y))
326.0ms	(cbrt y)
281.0ms	(cbrt y)
286.0ms	(cbrt y)

simplify5.2s

Counts

85 → 85

Iterations

Useful iterations: done (5.2s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune268.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (- z x)) x)
0.0b	(sqrt (+ (* y (- z x)) x))
0.0b	(sqrt (+ (* y (- z x)) x))
0.3b	(* (sqrt (+ (* y (- z x)) x)) (sqrt (+ (* y (- z x)) x)))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `associate-+l+` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`distribute-rgt-in` `sub-neg` `rem-sqrt-square` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

21.0ms	(+ (* y (- z x)) x)
35.0ms	(sqrt (+ (* y (- z x)) x))
34.0ms	(sqrt (+ (* y (- z x)) x))
113.0ms	(* (sqrt (+ (* y (- z x)) x)) (sqrt (+ (* y (- z x)) x)))

series257.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* y (- z x)) x)
83.0ms	(sqrt (+ (* y (- z x)) x))
96.0ms	(sqrt (+ (* y (- z x)) x))
34.0ms	(* (sqrt (+ (* y (- z x)) x)) (sqrt (+ (* y (- z x)) x)))

simplify2.0s

Counts

114 → 114

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	115	2116
1	246	1533
2	680	1405
3	2471	1330
done	5002	1304

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

781.0ms

10111×

body

valid