Details

sample25.0ms

Algorithm

intervals

Results

5.0ms	203×	body	80	valid
4.0ms	36×	body	1280	valid
4.0ms	37×	body	640	valid
1.0ms	18×	body	320	valid
0.0ms	3×	body	2560	valid
0.0ms	8×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 5 (119.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	63	11
3	155	9
4	305	7
5	627	5
6	2092	5
done	5000	5

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

9.0ms

(* y (- x z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(* y (- x z))

simplify3.0s

Counts

29 → 29

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	52	217
1	114	206
2	424	186
3	1319	186
4	3671	186
done	5000	186

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

3.0ms

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

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify1.0s

Counts

17 → 17

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	31	188
1	106	135
2	395	122
3	1539	118
done	5001	116

prune32.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* y (sqrt (- x z)))
0.2b	(* (* y (sqrt (- x z))) (sqrt (- x z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-r`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

3.0ms	(sqrt (- x z))
4.0ms	(sqrt (- x z))
11.0ms	(* y (sqrt (- x z)))
26.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (- x z))
67.0ms	(sqrt (- x z))
97.0ms	(* y (sqrt (- x z)))
36.0ms	(* (* y (sqrt (- x z))) (sqrt (- x z)))

simplify647.0ms

Counts

103 → 103

Iterations

Useful iterations: done (645.0ms)

Iter	Nodes	Cost
0	138	1247
1	353	1015
2	1317	919
done	5002	887

prune203.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (- x z)))
0.1b	(* y (sqrt (- x z)))
0.2b	(* (* (* y (sqrt (- x z))) (sqrt (sqrt (- x z)))) (sqrt (sqrt (- x z))))
0.2b	(* (* y (sqrt (- x z))) (sqrt (sqrt (- x z))))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

114×	`sqrt-div`
46×	`sqrt-prod`
36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`frac-times`
30×	`associate-r`
29×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

4.0ms	(sqrt (sqrt (- x z)))
11.0ms	(* y (sqrt (- x z)))
89.0ms	(* (* (* y (sqrt (- x z))) (sqrt (sqrt (- x z)))) (sqrt (sqrt (- x z))))
31.0ms	(* (* y (sqrt (- x z))) (sqrt (sqrt (- x z))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(sqrt (sqrt (- x z)))
98.0ms	(* y (sqrt (- x z)))
40.0ms	(* (* (* y (sqrt (- x z))) (sqrt (sqrt (- x z)))) (sqrt (sqrt (- x z))))
130.0ms	(* (* y (sqrt (- x z))) (sqrt (sqrt (- x z))))

simplify1.2s

Counts

150 → 150

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	253	3018
1	667	2566
2	2592	2081
done	5000	2078

prune372.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes62.0ms

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	7	8
1	12	8
2	15	8
3	16	8
done	16	8

end0.0ms

sample713.0ms

Algorithm

intervals

Results

194.0ms	7016×	body	80	valid
120.0ms	980×	body	1280	valid
92.0ms	900×	body	640	valid
47.0ms	636×	body	320	valid
36.0ms	232×	body	2560	valid
19.0ms	336×	body	160	valid