Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

323×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 7 (267.0ms)

Iter	Nodes	Cost
0	12	13
1	22	13
2	45	13
3	97	13
4	186	13
5	302	13
6	457	13
7	676	11
8	1190	11
9	3238	11
done	5001	11

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x z) y)
0.0b	(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv`

Counts

2 → 49

Calls

2 calls:

7.0ms	(/ (- x z) y)
19.0ms	(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

series53.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/ (- x z) y)
27.0ms	(+ (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)

simplify985.0ms

Counts

55 → 55

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	105	660
1	255	636
2	619	594
3	1923	574
done	5000	573

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x y) (/ z y))
0.0b	(+ (* (+ 0.25 (- (/ x y) (/ z y))) 4.0) 1.0)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`times-frac`
6×	`add-log-exp`
4×	`add-cube-cbrt` `distribute-lft-out--` `difference-of-squares`
2×	`pow1` `add-exp-log` `add-cbrt-cube` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 34

Calls

2 calls:

16.0ms	(- (/ x y) (/ z y))
44.0ms	(+ (* (+ 0.25 (- (/ x y) (/ z y))) 4.0) 1.0)

series49.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(- (/ x y) (/ z y))
28.0ms	(+ (* (+ 0.25 (- (/ x y) (/ z y))) 4.0) 1.0)

simplify772.0ms

Counts

40 → 40

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	86	594
1	215	586
2	511	544
3	1569	528
done	5001	520

prune97.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0))
0.2b	(pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3)
5.5b	(- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)
21.2b	(/ (+ (pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3) (pow 1.0 3)) (+ (* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)) (* 1.0 1.0)))

rewrite288.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
10×	`associate-*l/`
6×	`flip3-+` `flip-+` `add-log-exp`
5×	`associate-/l*`
4×	`frac-times` `flip3--` `pow-prod-down` `prod-exp` `sum-cubes` `flip--` `cbrt-unprod` `distribute-lft-out`
3×	`sub-neg` `pow-unpow` `associate-r` `associate-/r*`
2×	`cube-div` `distribute-rgt-in` `pow-pow` `distribute-lft-in` `associate-*r/` `pow-exp` `associate-/r/` `associate-/l/` `rem-cube-cbrt`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `diff-log` `unpow3` `cube-prod` `div-exp` `associate-l` `clear-num` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 105

Calls

4 calls:

97.0ms	(* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0))
14.0ms	(pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3)
15.0ms	(- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)
159.0ms	(/ (+ (pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3) (pow 1.0 3)) (+ (* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)) (* 1.0 1.0)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0))
120.0ms	(pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3)
42.0ms	(- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)
196.0ms	(/ (+ (pow (* (+ 0.25 (/ (- x z) y)) 4.0) 3) (pow 1.0 3)) (+ (* (* (+ 0.25 (/ (- x z) y)) 4.0) (- (* (+ 0.25 (/ (- x z) y)) 4.0) 1.0)) (* 1.0 1.0)))

simplify993.0ms

Counts

117 → 117

Iterations

Useful iterations: 2 (337.0ms)

Iter	Nodes	Cost
0	220	4355
1	619	4154
2	2668	3750
done	5000	3750

prune380.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes43.0ms

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	12	13
1	15	13
done	15	13

end0.0ms

sample517.0ms

Algorithm

intervals

Results

303.0ms

10106×

body

valid