Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify240.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	29	9
4	38	9
5	45	9
6	56	9
7	77	9
8	114	9
9	162	9
10	194	9
11	204	9
12	230	9
13	239	9
14	240	9
done	240	9

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	(* (- 1.0 x) z)
0.0b	(+ (* x y) (* (- 1.0 x) z))

rewrite16.0ms

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:

12.0ms	(* (- 1.0 x) z)
3.0ms	(+ (* x y) (* (- 1.0 x) z))

series61.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 x) z)
31.0ms	(+ (* x y) (* (- 1.0 x) z))

simplify1.6s

Counts

39 → 39

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	71	405
1	185	379
2	652	345
3	2788	345
done	5001	345

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

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 z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series725.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt z) (cbrt z))
173.0ms	(cbrt z)
172.0ms	(cbrt z)
175.0ms	(cbrt z)

simplify3.0s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	327	397
3	1169	379
4	3727	374
done	5000	374

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.0b	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
0.0b	(* (sqrt (- 1.0 x)) z)
0.1b	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`-un-lft-identity` `sqrt-div` `associate-l*` `sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*l/`
8×	`flip3--` `flip--`
6×	`add-log-exp`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `sum-log` `flip-+`

Counts

4 → 85

Calls

4 calls:

3.0ms	(sqrt (- 1.0 x))
3.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
11.0ms	(* (sqrt (- 1.0 x)) z)
24.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

series190.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (- 1.0 x))
31.0ms	(+ (* x y) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z)))
92.0ms	(* (sqrt (- 1.0 x)) z)
35.0ms	(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) z))

simplify2.0s

Counts

97 → 97

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	159	1378
1	410	1046
2	1194	944
3	4320	937
done	5000	935

prune216.0ms

Pruning

3 alts after pruning (0 fresh and 3 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample446.0ms

Algorithm

intervals

Results

244.0ms

10161×

body

valid