Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

305×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	26	7
4	35	7
5	41	7
6	50	7
7	68	7
8	98	7
9	125	7
10	154	7
11	168	7
12	186	7
13	199	7
14	215	7
15	250	7
16	313	7
17	400	7
18	484	7
19	587	7
20	656	7
21	660	7
done	660	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

3.0ms	(+ x (* y (- z x)))
12.0ms	(* y (- z x))

series78.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* y (- z x)))
48.0ms	(* y (- z x))

simplify769.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	73	409
1	171	381
2	472	351
3	1669	351
done	5000	351

prune77.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

2.0ms	(+ x (* z y))
9.0ms	(+ (+ x (* z y)) (* (- x) y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* z y))
30.0ms	(+ (+ x (* z y)) (* (- x) y))

simplify1.2s

Counts

32 → 32

Iterations

Useful iterations: 3 (312.0ms)

Iter	Nodes	Cost
0	52	367
1	168	313
2	589	278
3	2300	270
done	5000	270

prune63.0ms

Pruning

4 alts after pruning (2 fresh and 2 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)

rewrite9.0ms

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:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series728.0ms

Counts

4 → 12

Calls

4 calls:

206.0ms	(* (cbrt y) (cbrt y))
173.0ms	(cbrt y)
171.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify2.8s

Counts

85 → 85

Iterations

Useful iterations: 4 (949.0ms)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3701	374
done	5000	374

prune193.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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)
27.1b	(cbrt (* y y))

rewrite29.0ms

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:

10.0ms	(* (cbrt y) (- z x))
14.0ms	(* (cbrt (* y y)) (* (cbrt y) (- z x)))
0.0ms	(cbrt y)
2.0ms	(cbrt (* y y))

series557.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt y) (- z x))
59.0ms	(* (cbrt (* y y)) (* (cbrt y) (- z x)))
181.0ms	(cbrt y)
182.0ms	(cbrt (* y y))

simplify455.0ms

Counts

91 → 91

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	124	905
1	284	856
2	994	789
done	5001	789

prune206.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes66.0ms

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	8	10
1	14	10
2	17	10
3	18	10
done	18	10

end0.0ms

sample412.0ms

Algorithm

intervals

Results

205.0ms

10100×

body

valid