Details

sample54.0ms

Algorithm

intervals

Results

12.0ms	238×	body	80	valid
11.0ms	32×	body	640	valid
6.0ms	27×	body	1280	valid
2.0ms	15×	body	320	valid
2.0ms	7×	body	2560	valid
2.0ms	15×	body	160	valid

simplify7.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.1s)

Iter	Nodes	Cost
0	9	15
1	23	13
2	75	11
3	215	9
4	741	7
5	4690	5
done	5000	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite41.0ms

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:

40.0ms

(* (- x z) y)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (- x z) y)

simplify6.2s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	51	197
1	114	190
2	447	172
3	4961	170
done	5000	170

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

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×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
5.0ms	(cbrt (- x z))
73.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

series744.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(cbrt (- x z))
192.0ms	(cbrt (- x z))
183.0ms	(cbrt (- x z))
151.0ms	(* (cbrt (- x z)) (cbrt (- x z)))

simplify1.1s

Counts

121 → 121

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	135	1434
1	294	1320
2	970	1262
done	5001	1212

prune463.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

390×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
50×	`associate-*r/`
44×	`cbrt-prod` `associate-*l/`
20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`pow1`
13×	`add-exp-log` `add-cube-cbrt` `pow1/3`
9×	`pow-prod-down`
8×	`associate-l`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 172

Calls

4 calls:

370.0ms	(* (cbrt (- x z)) (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))))
10.0ms	(cbrt (cbrt (- x z)))
10.0ms	(cbrt (cbrt (- x z)))
5.0ms	(cbrt (cbrt (- x z)))

series934.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt (- x z)) (* (* (cbrt (cbrt (- x z))) (cbrt (cbrt (- x z)))) (cbrt (cbrt (- x z)))))
227.0ms	(cbrt (cbrt (- x z)))
246.0ms	(cbrt (cbrt (- x z)))
260.0ms	(cbrt (cbrt (- x z)))

simplify1.0s

Counts

184 → 184

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	298	5734
1	746	5442
2	1678	4852
done	5000	4661

prune695.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-l`
15×	`add-sqr-sqrt`
14×	`sqrt-div`
11×	`*-un-lft-identity` `sqrt-prod`
10×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `flip3--` `flip--`
4×	`frac-times` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-r/` `-commutative` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

2 → 61

Calls

2 calls:

47.0ms	(* (sqrt (- x z)) y)
71.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series151.0ms

Counts

2 → 6

Calls

2 calls:

119.0ms	(* (sqrt (- x z)) y)
33.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify905.0ms

Counts

67 → 67

Iterations

Useful iterations: done (903.0ms)

Iter	Nodes	Cost
0	107	881
1	269	808
2	1034	624
done	5001	600

prune283.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes100.0ms

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

sample2.4s

Algorithm

intervals

Results

1.0s	7030×	body	80	valid
346.0ms	1025×	body	1280	valid
273.0ms	925×	body	640	valid
96.0ms	608×	body	320	valid
58.0ms	195×	body	2560	valid
36.0ms	331×	body	160	valid