Details

sample28.0ms

Algorithm

intervals

Results

6.0ms	221×	body	80	valid
5.0ms	37×	body	1280	valid
4.0ms	33×	body	640	valid
2.0ms	10×	body	2560	valid
2.0ms	19×	body	320	valid
1.0ms	13×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 5 (221.0ms)

Iter	Nodes	Cost
0	9	15
1	23	13
2	73	11
3	194	9
4	378	7
5	723	5
6	1980	5
done	5000	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite10.0ms

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×	`expm1-log1p-u` `flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

10.0ms

(* (- x z) y)

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (- x z) y)

simplify2.0s

Counts

27 → 27

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	51	197
1	109	190
2	351	170
3	1249	170
4	3327	170
done	5001	170

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series707.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt y) (cbrt y))
173.0ms	(cbrt y)
173.0ms	(cbrt y)
170.0ms	(cbrt y)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (319.0ms)

Iter	Nodes	Cost
0	65	554
1	119	443
2	383	423
3	1868	405
done	5000	405

prune179.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))
0.6b	(cbrt (cbrt y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 61

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))
1.0ms	(cbrt (cbrt y))

series912.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt y)
245.0ms	(cbrt (cbrt y))
240.0ms	(cbrt (cbrt y))
246.0ms	(cbrt (cbrt y))

simplify530.0ms

Counts

73 → 73

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	46	419
1	79	400
2	151	370
3	335	358
4	1129	358
done	5001	358

prune203.0ms

Pruning

4 alts after pruning (1 fresh and 3 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)
0.1b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite51.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

5.0ms	(sqrt (- x z))
5.0ms	(sqrt (- x z))
11.0ms	(* (sqrt (- x z)) y)
27.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series254.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (- x z))
70.0ms	(sqrt (- x z))
84.0ms	(* (sqrt (- x z)) y)
29.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.2s

Counts

111 → 111

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	134	1273
1	324	1026
2	860	940
3	2897	914
done	5001	912

prune227.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes54.0ms

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

sample747.0ms

Algorithm

intervals

Results

197.0ms	6960×	body	80	valid
132.0ms	994×	body	1280	valid
103.0ms	915×	body	640	valid
51.0ms	624×	body	320	valid
35.0ms	228×	body	2560	valid
19.0ms	372×	body	160	valid