Details

sample69.0ms

Algorithm

intervals

Results

16.0ms	230×	body	80	valid
8.0ms	25×	body	1280	valid
6.0ms	25×	body	640	valid
4.0ms	21×	body	320	valid
3.0ms	8×	body	2560	valid
1.0ms	9×	body	160	valid

simplify9.7s

Counts

1 → 1

Iterations

Useful iterations: 5 (2.6s)

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite55.0ms

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:

54.0ms

(* (- x z) y)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(* (- x z) y)

simplify7.8s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.3s)

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

prune177.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* y y))
0.0b	(- (+ (* x y) (* y y)) (* y z))
9.1b	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

rewrite481.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
12×	`prod-diff`
9×	`add-sqr-sqrt` `associate--l+`
8×	`add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `fma-neg`
7×	`diff-log`
5×	`distribute-lft-out--`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `sum-log` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`+-commutative` `associate--l-` `fma-def` `flip3-+` `flip-+` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

16.0ms	(+ (* x y) (* y y))
88.0ms	(- (+ (* x y) (* y y)) (* y z))
373.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

series179.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* x y) (* y y))
57.0ms	(- (+ (* x y) (* y y)) (* y z))
63.0ms	(- (- (+ (* x y) (* y y)) (* y z)) (* y y))

simplify5.6s

Counts

83 → 83

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	104	1253
1	319	1049
2	1910	850
done	5001	792

prune505.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x z))
0.0b	(sqrt (- x z))
0.1b	(* (sqrt (- x z)) y)
0.2b	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

19.0ms	(sqrt (- x z))
18.0ms	(sqrt (- x z))
46.0ms	(* (sqrt (- x z)) y)
108.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

series438.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(sqrt (- x z))
123.0ms	(sqrt (- x z))
145.0ms	(* (sqrt (- x z)) y)
60.0ms	(* (sqrt (- x z)) (* (sqrt (- x z)) y))

simplify1.4s

Counts

111 → 111

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	134	1273
1	330	1152
2	1301	940
done	5001	920

prune706.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x z) (- x z))
9.3b	(* (* (+ x z) (- x z)) y)
20.4b	(/ (* (* (+ x z) (- x z)) y) (+ x z))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 118

Calls

3 calls:

76.0ms	(* (+ x z) (- x z))
100.0ms	(* (* (+ x z) (- x z)) y)
127.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

series229.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(* (+ x z) (- x z))
90.0ms	(* (* (+ x z) (- x z)) y)
57.0ms	(/ (* (* (+ x z) (- x z)) y) (+ x z))

simplify721.0ms

Counts

127 → 127

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	199	2084
1	641	1866
done	5000	1604

prune748.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes303.0ms

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

sample3.0s

Algorithm

intervals

Results

732.0ms	7008×	body	80	valid
603.0ms	386×	body	160	valid
436.0ms	993×	body	1280	valid
274.0ms	896×	body	640	valid
180.0ms	635×	body	320	valid
95.0ms	219×	body	2560	valid