Details

sample37.0ms

Algorithm

intervals

Results

8.0ms	226×	body	80	valid
5.0ms	31×	body	1280	valid
3.0ms	23×	body	640	valid
2.0ms	18×	body	320	valid
2.0ms	21×	body	160	valid
1.0ms	5×	body	2560	valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 4 (140.0ms)

Iter	Nodes	Cost
0	9	243
1	23	243
2	69	139
3	170	123
4	400	83
5	1277	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))

rewrite39.0ms

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:

37.0ms

(* y (- x z))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* y (- x z))

simplify4.3s

Counts

49 → 49

Iterations

Useful iterations: 4 (2.3s)

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

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

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))

rewrite90.0ms

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:

66.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
7.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
7.0ms	(cbrt (- x z))

series852.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
257.0ms	(cbrt (- x z))
191.0ms	(cbrt (- x z))
211.0ms	(cbrt (- x z))

simplify2.3s

Counts

121 → 121

Iterations

Useful iterations: done (2.3s)

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

prune858.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

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)))

rewrite155.0ms

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:

35.0ms	(* y (- x z))
65.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
26.0ms	(sqrt (* y (- x z)))
20.0ms	(sqrt (* y (- x z)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* y (- x z))
157.0ms	(* (sqrt (* y (- x z))) (sqrt (* y (- x z))))
76.0ms	(sqrt (* y (- x z)))
83.0ms	(sqrt (* y (- x z)))

simplify4.0s

Counts

147 → 147

Iterations

Useful iterations: done (4.0s)

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

prune601.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite97.0ms

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:

46.0ms	(* (sqrt y) (- x z))
46.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* (sqrt y) (- x z))
56.0ms	(* (sqrt y) (* (sqrt y) (- x z)))

simplify4.8s

Counts

125 → 125

Iterations

Useful iterations: done (4.8s)

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

prune341.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes193.0ms

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	5	83
1	6	83
done	6	83

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	7098×	body	80	valid
293.0ms	948×	body	1280	valid
207.0ms	844×	body	640	valid
88.0ms	520×	body	320	valid
64.0ms	206×	body	2560	valid
54.0ms	515×	body	160	valid