Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	212×	body	80	valid
7.0ms	28×	body	1280	valid
6.0ms	29×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	8×	body	2560	valid
2.0ms	17×	body	160	valid

simplify10.2s

Counts

1 → 1

Iterations

Useful iterations: 5 (405.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	65	11
3	163	9
4	346	7
5	552	5
6	1353	5
7	4543	5
done	5000	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite48.0ms

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

Counts

1 → 22

Calls

1 calls:

47.0ms

(* (- x z) y)

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(* (- x z) y)

simplify4.4s

Counts

25 → 25

Iterations

Useful iterations: 3 (423.0ms)

Iter	Nodes	Cost
0	49	185
1	105	178
2	341	162
3	1216	158
4	4158	158
done	5001	158

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

4.5b	(- (* x x) (* z z))
8.4b	(* (- (* x x) (* z z)) y)
20.6b	(/ (* (- (* x x) (* z z)) y) (+ x z))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
5×	`pow1` `add-log-exp`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

13.0ms	(- (* x x) (* z z))
28.0ms	(* (- (* x x) (* z z)) y)
29.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series223.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (* x x) (* z z))
82.0ms	(* (- (* x x) (* z z)) y)
81.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	106	977
1	287	932
2	1282	784
done	5000	690

prune197.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
9×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`associate-l` `associate-*l/`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

30.0ms	(* (- x z) (sqrt y))
95.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (- x z) (sqrt y))
48.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 3 (937.0ms)

Iter	Nodes	Cost
0	85	587
1	207	467
2	636	407
3	2139	401
done	5002	401

prune94.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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	5
1	6	5
done	6	5

end0.0ms

sample1.8s

Algorithm

intervals

Results

574.0ms	7079×	body	80	valid
231.0ms	952×	body	1280	valid
162.0ms	922×	body	640	valid
154.0ms	209×	body	2560	valid
114.0ms	608×	body	320	valid
77.0ms	341×	body	160	valid