Details

sample65.0ms

Algorithm

intervals

Results

15.0ms	212×	body	80	valid
9.0ms	28×	body	1280	valid
7.0ms	26×	body	640	valid
3.0ms	8×	body	2560	valid
3.0ms	22×	body	160	valid
3.0ms	15×	body	320	valid

simplify5.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (191.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	156	7
4	525	5
5	1652	5
done	5000	5

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite30.0ms

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:

29.0ms

(* (- x z) y)

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* (- x z) y)

simplify4.1s

Counts

25 → 25

Iterations

Useful iterations: 3 (338.0ms)

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

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

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))

rewrite108.0ms

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:

8.0ms	(- (* x x) (* z z))
47.0ms	(* (- (* x x) (* z z)) y)
50.0ms	(/ (* (- (* x x) (* z z)) y) (+ x z))

series202.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (* x x) (* z z))
73.0ms	(* (- (* x x) (* z z)) y)
80.0ms	(/ (* (- (* 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

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite121.0ms

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:

57.0ms	(* (- x z) (sqrt y))
61.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (- x z) (sqrt y))
52.0ms	(* (* (- x z) (sqrt y)) (sqrt y))

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 3 (876.0ms)

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

prune129.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes66.0ms

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

sample2.4s

Algorithm

intervals

Results

579.0ms	7079×	body	80	valid
546.0ms	542×	body	320	valid
368.0ms	919×	body	1280	valid
241.0ms	844×	body	640	valid
104.0ms	209×	body	2560	valid
58.0ms	518×	body	160	valid