Details

sample80.0ms

Algorithm

intervals

Results

15.0ms	226×	body	80	valid
10.0ms	32×	body	1280	valid
7.0ms	27×	body	640	valid
4.0ms	21×	body	320	valid
2.0ms	5×	body	2560	valid
2.0ms	13×	body	160	valid

simplify8.4s

Counts

1 → 1

Iterations

Useful iterations: 5 (497.0ms)

Iter	Nodes	Cost
0	9	243
1	23	218
2	74	203
3	200	163
4	426	139
5	944	83
6	2814	83
done	5000	83

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 46

Calls

1 calls:

32.0ms

(* y (- x z))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* y (- x z))

simplify4.4s

Counts

49 → 49

Iterations

Useful iterations: 4 (2.4s)

Iter	Nodes	Cost
0	102	14042
1	222	11885
2	435	8441
3	1209	8361
4	4028	7401
done	5000	7401

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

42.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms	(cbrt (- x z))
3.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))

series858.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
217.0ms	(cbrt (- x z))
200.0ms	(cbrt (- x z))
248.0ms	(cbrt (- x z))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	135	38896
1	293	33251
2	745	33030
3	1940	31870
done	5004	31560

prune648.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (- x z))
0.2b	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
3.2b	(sqrt (* y (- x z)))
3.2b	(sqrt (* y (- x z)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
28×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`add-cube-cbrt`
20×	`associate-*r/`
18×	`prod-diff`
16×	`sqrt-div`
12×	`pow1/2`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow-prod-up`
9×	`flip3--` `associate-r` `flip--`
8×	`add-cbrt-cube` `add-exp-log`
7×	`associate-l`
6×	`pow-sqr` `sqrt-prod`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

38.0ms	(* y (- x z))
90.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
25.0ms	(sqrt (* y (- x z)))
14.0ms	(sqrt (* y (- x z)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* y (- x z))
181.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
99.0ms	(sqrt (* y (- x z)))
96.0ms	(sqrt (* y (- x z)))

simplify3.9s

Counts

147 → 147

Iterations

Useful iterations: done (3.9s)

Iter	Nodes	Cost
0	181	36329
1	411	27997
2	936	24233
3	2938	23973
done	5000	23013

prune611.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
43×	`add-cube-cbrt`
12×	`associate-l`
9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`sqrt-prod`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `*-commutative` `log1p-expm1-u` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 119

Calls

2 calls:

40.0ms	(* (sqrt y) (- x z))
45.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* (sqrt y) (- x z))
59.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify4.7s

Counts

125 → 125

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	203	51756
1	593	45299
2	1345	26367
3	3717	25987
done	5000	23107

prune312.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes145.0ms

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	83
1	6	83
done	6	83

end0.0ms

sample1.9s

Algorithm

intervals

Results

835.0ms	7097×	body	80	valid
335.0ms	969×	body	1280	valid
175.0ms	936×	body	640	valid
119.0ms	586×	body	320	valid
56.0ms	206×	body	2560	valid
32.0ms	337×	body	160	valid