Details

sample70.0ms

Algorithm

intervals

Results

31.0ms

381×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	32	17
2	69	17
3	127	17
4	339	17
5	1006	17
6	3367	17
done	5000	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.0b	(+ (* x y) (/ (* z t) 16.0))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 29

Calls

2 calls:

97.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
19.0ms	(+ (* x y) (/ (* z t) 16.0))

series176.0ms

Counts

2 → 6

Calls

2 calls:

124.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
53.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify1.8s

Counts

35 → 35

Iterations

Useful iterations: 3 (628.0ms)

Iter	Nodes	Cost
0	76	736
1	210	690
2	803	660
3	3789	646
done	5000	646

prune169.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.3b	(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
0.3b	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
0.3b	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

rewrite508.0ms

Algorithm

rewrite-expression-head

Rules

48×	`sqrt-div`
40×	`add-sqr-sqrt` `sqrt-prod`
32×	`*-un-lft-identity`
24×	`frac-sub`
21×	`pow1`
16×	`frac-times`
14×	`add-cube-cbrt`
13×	`flip3-+` `flip-+`
12×	`flip3--` `swap-sqr` `flip--`
10×	`sqrt-pow1` `pow1/2`
8×	`associate-r` `associate-l` `distribute-lft-out--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`pow-prod-up`
4×	`associate-r/` `associate-l/` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 130

Calls

4 calls:

17.0ms	(+ (* x y) (/ (* z t) 16.0))
338.0ms	(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
71.0ms	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
73.0ms	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

series1.5s

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x y) (/ (* z t) 16.0))
107.0ms	(* (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))) (sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))))
629.0ms	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))
677.0ms	(sqrt (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)))

simplify777.0ms

Counts

142 → 142

Iterations

Useful iterations: done (771.0ms)

Iter	Nodes	Cost
0	191	6176
1	440	4762
2	1850	4554
done	5001	4479

prune732.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.1s

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	17
1	22	17
done	22	17

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s

12112×

body

valid