Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	207×	body	80	valid
8.0ms	35×	body	1280	valid
6.0ms	33×	body	640	valid
3.0ms	17×	body	320	valid
3.0ms	11×	body	2560	valid
1.0ms	7×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.2s)

Iter	Nodes	Cost
0	9	243
1	23	218
2	75	203
3	217	163
4	741	124
5	4705	83
done	5000	83

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (- x z))

rewrite36.0ms

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:

34.0ms

(* y (- x z))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* y (- x z))

simplify852.0ms

Counts

49 → 49

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	102	14042
1	235	11885
2	835	8441
done	5000	8361

prune128.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (* x (* x x)) (* (* z z) z))
1.5b	(+ (* z z) (* x z))
8.6b	(* y (- (* x (* x x)) (* (* z z) z)))
34.2b	(/ (* y (- (* x (* x x)) (* (* z z) z))) (+ (* x x) (+ (* z z) (* x z))))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`expm1-log1p-u` `associate-r` `associate-*r/` `log1p-expm1-u`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `flip3--` `associate-l*` `prod-diff` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `cube-unmult` `div-exp` `pow3` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `distribute-rgt-out` `fma-neg` `diff-log` `pow-prod-down` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

35.0ms	(- (* x (* x x)) (* (* z z) z))
6.0ms	(+ (* z z) (* x z))
134.0ms	(* y (- (* x (* x x)) (* (* z z) z)))
105.0ms	(/ (* y (- (* x (* x x)) (* (* z z) z))) (+ (* x x) (+ (* z z) (* x z))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(- (* x (* x x)) (* (* z z) z))
29.0ms	(+ (* z z) (* x z))
146.0ms	(* y (- (* x (* x x)) (* (* z z) z)))
190.0ms	(/ (* y (- (* x (* x x)) (* (* z z) z))) (+ (* x x) (+ (* z z) (* x z))))

simplify2.8s

Counts

100 → 100

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	155	35118
1	483	30263
2	2909	29968
done	5000	29328

prune536.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes164.0ms

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

sample2.1s

Algorithm

intervals

Results

784.0ms	976×	body	1280	valid
440.0ms	7036×	body	80	valid
285.0ms	933×	body	640	valid
120.0ms	594×	body	320	valid
63.0ms	220×	body	2560	valid
35.0ms	374×	body	160	valid