Details

sample43.0ms

Algorithm

intervals

Results

10.0ms	226×	body	80	valid
6.0ms	29×	body	1280	valid
4.0ms	28×	body	640	valid
3.0ms	21×	body	320	valid
1.0ms	5×	body	2560	valid
1.0ms	7×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (230.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	65	11
3	163	9
4	346	7
5	552	5
6	1353	5
7	4543	5
done	5000	5

prune5.0ms

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	(* (- x z) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

26.0ms

(* (- x z) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (- x z) y)

simplify2.7s

Counts

25 → 25

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune45.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
3.7b	(cbrt (* (- x z) y))
3.7b	(cbrt (* (- x z) y))
3.7b	(cbrt (* (- x z) y))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

30.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
8.0ms	(cbrt (* (- x z) y))
8.0ms	(cbrt (* (- x z) y))
8.0ms	(cbrt (* (- x z) y))

series605.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(* (cbrt (* (- x z) y)) (cbrt (* (- x z) y)))
140.0ms	(cbrt (* (- x z) y))
143.0ms	(cbrt (* (- x z) y))
140.0ms	(cbrt (* (- x z) y))

simplify1.2s

Counts

84 → 84

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	1322
1	335	1219
2	872	1123
3	2336	1026
done	5000	946

prune206.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

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

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`sqrt-prod`
19×	`*-un-lft-identity`
18×	`sqrt-div`
16×	`associate-l`
13×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*l/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-r` `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-r/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

7.0ms	(sqrt (- x z))
7.0ms	(sqrt (- x z))
23.0ms	(* (sqrt (- x z)) y)
53.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series248.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (- x z))
67.0ms	(sqrt (- x z))
86.0ms	(* (sqrt (- x z)) y)
32.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: 3 (592.0ms)

Iter	Nodes	Cost
0	128	1215
1	307	985
2	798	899
3	2053	871
done	5002	871

prune181.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x z) y)
0.2b	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
3.1b	(sqrt (* (- x z) y))
3.1b	(sqrt (* (- x z) y))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt` `sqrt-div`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3--` `associate-l` `flip--`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 105

Calls

4 calls:

22.0ms	(* (- x z) y)
62.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
8.0ms	(sqrt (* (- x z) y))
8.0ms	(sqrt (* (- x z) y))

series567.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (- x z) y)
62.0ms	(* (sqrt (* (- x z) y)) (sqrt (* (- x z) y)))
239.0ms	(sqrt (* (- x z) y))
232.0ms	(sqrt (* (- x z) y))

simplify1.9s

Counts

117 → 117

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	126	1349
1	253	1001
2	801	917
3	3184	873
done	5000	867

prune175.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes58.0ms

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	5	5
1	6	5
done	6	5

end0.0ms

sample769.0ms

Algorithm

intervals

Results

183.0ms	6959×	body	80	valid
116.0ms	986×	body	1280	valid
94.0ms	976×	body	640	valid
42.0ms	601×	body	320	valid
30.0ms	219×	body	2560	valid
17.0ms	358×	body	160	valid