Details

sample68.0ms

Algorithm

intervals

Results

16.0ms	30×	body	640	valid
11.0ms	42×	body	1280	valid
11.0ms	217×	body	80	valid
3.0ms	10×	body	2560	valid
3.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid

simplify14.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1888
3	259
2	77
1	23
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite42.0ms

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×	`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 → 24

Calls

1 calls:

41.0ms

(* (- x z) y)

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (- x z) y)

simplify3.7s

Counts

27 → 27

Iterations

Iter	Nodes
done	5000
3	4714
2	438
1	114
0	51

prune142.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x z)) (cbrt (- x z)))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))
0.6b	(cbrt (- x z))

rewrite58.0ms

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:

40.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
3.0ms	(cbrt (- x z))
4.0ms	(cbrt (- x z))
7.0ms	(cbrt (- x z))

series777.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (- x z)) (cbrt (- x z)))
198.0ms	(cbrt (- x z))
209.0ms	(cbrt (- x z))
210.0ms	(cbrt (- x z))

simplify915.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	1029
1	295
0	135

prune616.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ z x) y)
0.2b	(* (* (+ z x) y) (- x z))
16.3b	(/ (* (* (+ z x) y) (- x z)) (+ x z))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
19×	`add-cbrt-cube` `add-exp-log`
18×	`prod-diff` `associate-*l/`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`pow1`
8×	`frac-times` `flip3-+` `associate-r` `flip-+` `associate-/l/`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `flip--`
5×	`associate-l`
4×	`associate-/r` `times-frac` `pow-prod-down` `associate-r/`
3×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`sub-neg` `associate-/r/` `*-commutative`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 112

Calls

3 calls:

18.0ms	(* (+ z x) y)
38.0ms	(* (* (+ z x) y) (- x z))
56.0ms	(/ (* (* (+ z x) y) (- x z)) (+ x z))

series126.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (+ z x) y)
56.0ms	(* (* (+ z x) y) (- x z))
32.0ms	(/ (* (* (+ z x) y) (- x z)) (+ x z))

simplify377.0ms

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
1	645
0	204

prune776.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ z x) y)
0.0b	(/ (* (+ z x) y) (/ (+ z x) (- x z)))
0.0b	(/ (+ z x) (- x z))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

96×	`*-un-lft-identity`
86×	`times-frac`
64×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
31×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
17×	`distribute-lft-out`
13×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1` `associate-/l*`
4×	`associate-l` `associate-*l/` `div-inv` `associate-/l/`
3×	`expm1-log1p-u` `flip3-+` `flip3--` `associate-r` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`clear-num` `frac-2neg`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 146

Calls

3 calls:

34.0ms	(* (+ z x) y)
30.0ms	(/ (* (+ z x) y) (/ (+ z x) (- x z)))
38.0ms	(/ (+ z x) (- x z))

series167.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (+ z x) y)
40.0ms	(/ (* (+ z x) y) (/ (+ z x) (- x z)))
85.0ms	(/ (+ z x) (- x z))

simplify2.4s

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
2	4075
1	537
0	195

prune639.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes169.0ms

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	10
1	10
0	8

end0.0ms

sample1.9s

Algorithm

intervals

Results

501.0ms	7007×	body	80	valid
334.0ms	871×	body	640	valid
240.0ms	941×	body	1280	valid
193.0ms	552×	body	320	valid
60.0ms	576×	body	160	valid
55.0ms	183×	body	2560	valid