Details

sample48.0ms

Algorithm

intervals

Results

16.0ms	220×	body	80	valid
9.0ms	33×	body	640	valid
7.0ms	25×	body	1280	valid
3.0ms	18×	body	320	valid
2.0ms	5×	body	2560	valid
1.0ms	8×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
6	2493
5	753
4	332
3	159
2	63
1	22
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `add-cube-cbrt`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

31.0ms

(* (- x z) y)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (- x z) y)

simplify1.3s

Counts

26 → 26

Iterations

Iter	Nodes
done	5000
3	1223
2	306
1	111
0	50

prune110.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 80

Calls

4 calls:

11.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.2s

Counts

4 → 12

Calls

4 calls:

338.0ms	(* (cbrt y) (cbrt y))
323.0ms	(cbrt y)
310.0ms	(cbrt y)
275.0ms	(cbrt y)

simplify3.5s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
4	4512
3	1200
2	427
1	151
0	66

prune423.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

2.8b	(- (* x x) (* z z))
10.0b	(* (- (* x x) (* z z)) y)
19.2b	(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite805.0ms

Algorithm

rewrite-expression-head

Rules

425×	`add-sqr-sqrt`
233×	`*-un-lft-identity`
226×	`associate-l`
175×	`difference-of-squares`
168×	`times-frac`
84×	`swap-sqr`
76×	`*-commutative` `unswap-sqr`
63×	`add-cube-cbrt`
43×	`distribute-lft-out`
42×	`associate-/l*`
35×	`distribute-lft-out--`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
4×	`associate-/r` `associate-l/`
3×	`flip3--` `insert-posit16` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `flip-+` `div-inv`

Counts

3 → 327

Calls

3 calls:

52.0ms	(- (* x x) (* z z))
192.0ms	(* (- (* x x) (* z z)) y)
528.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series251.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(- (* x x) (* z z))
90.0ms	(* (- (* x x) (* z z)) y)
104.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.9s

Counts

336 → 336

Iterations

Iter	Nodes
done	5001
2	2445
1	704
0	265

prune677.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.4s	6993×	body	80	valid
445.0ms	952×	body	1280	valid
438.0ms	931×	body	640	valid
246.0ms	600×	body	320	valid
193.0ms	209×	body	2560	valid
60.0ms	320×	body	160	valid