Details

sample102.0ms

Algorithm

intervals

Results

16.0ms

341×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

rewrite62.0ms

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:

14.0ms	(+ x (* y (- z x)))
46.0ms	(* y (- z x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ x (* y (- z x)))
61.0ms	(* y (- z x))

simplify1.6s

Counts

47 → 47

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	73	409
1	173	381
2	506	351
3	2212	351
done	5000	351

prune133.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

53.0ms

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

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify2.3s

Counts

18 → 18

Iterations

Useful iterations: 3 (996.0ms)

Iter	Nodes	Cost
0	37	247
1	115	208
2	478	173
3	2383	164
done	5000	164

prune46.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite18.0ms

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:

12.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (cbrt y) (cbrt y))
254.0ms	(cbrt y)
290.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify5.1s

Counts

85 → 85

Iterations

Useful iterations: done (5.1s)

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

prune243.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt y) (- z x))
0.3b	(* (cbrt (* y y)) (* (cbrt y) (- z x)))
0.6b	(cbrt y)
25.8b	(cbrt (* y y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

41.0ms	(* (cbrt y) (- z x))
53.0ms	(* (cbrt (* y y)) (* (cbrt y) (- z x)))
1.0ms	(cbrt y)
4.0ms	(cbrt (* y y))

series873.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt y) (- z x))
70.0ms	(* (cbrt (* y y)) (* (cbrt y) (- z x)))
290.0ms	(cbrt y)
309.0ms	(cbrt (* y y))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	124	905
1	278	856
2	994	789
done	5000	773

prune352.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes73.0ms

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	8	10
1	14	10
2	18	10
3	19	10
done	19	10

end0.0ms

sample844.0ms

Algorithm

intervals

Results

485.0ms

10106×

body

valid