Details

sample71.0ms

Algorithm

intervals

Results

33.0ms

375×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	17
1	32	17
2	69	17
3	126	17
4	201	17
5	284	17
6	389	17
7	526	17
8	630	17
9	638	17
done	638	17

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite437.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

106.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
317.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
12.0ms	(+ (* x y) (/ (* z t) 16.0))

series346.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
174.0ms	(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
62.0ms	(+ (* x y) (/ (* z t) 16.0))

simplify1.8s

Counts

57 → 57

Iterations

Useful iterations: 3 (699.0ms)

Iter	Nodes	Cost
0	101	1203
1	279	1119
2	1003	1083
3	4663	1055
done	5001	1055

prune213.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
0.0b	(+ (* 0.0625 (* t z)) (* x y))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

111.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
16.0ms	(+ (* 0.0625 (* t z)) (* x y))

series193.0ms

Counts

2 → 6

Calls

2 calls:

127.0ms	(- (+ (* 0.0625 (* t z)) (* x y)) (* 0.25 (* a b)))
66.0ms	(+ (* 0.0625 (* t z)) (* x y))

simplify2.3s

Counts

31 → 31

Iterations

Useful iterations: 3 (646.0ms)

Iter	Nodes	Cost
0	58	559
1	179	527
2	752	497
3	3611	491
done	5000	491

prune106.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
0.3b	(* (* x y) (* x y))
1.0b	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
26.6b	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log` `add-cbrt-cube`
50×	`pow1`
24×	`times-frac`
23×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`pow-prod-down`
13×	`cbrt-undiv` `div-exp`
8×	`swap-sqr` `associate-r` `associate-l`
6×	`add-log-exp`
5×	`pow-sqr` `pow-prod-up` `div-inv` `difference-of-squares`
4×	`associate-/l*`
3×	`flip3--` `pow-plus` `associate-/r*` `flip--`
2×	`pow2` `associate-/r/` `*-commutative` `associate-/l/`
1×	`frac-times` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-r/` `associate-l/` `clear-num` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

46.0ms	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
41.0ms	(* (* x y) (* x y))
46.0ms	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
100.0ms	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* (/ (* z t) 16.0) (/ (* z t) 16.0))
42.0ms	(* (* x y) (* x y))
197.0ms	(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
156.0ms	(/ (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (- (* x y) (/ (* z t) 16.0)))

simplify1.8s

Counts

151 → 151

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	213	3320
1	575	2883
2	2414	2205
done	5001	2040

prune480.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes502.0ms

Accuracy

0% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s

12093×

body

valid