Details

Time bar (total: 7.6s)

sample24.0ms

Algorithm
intervals
Results
10.0ms359×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.3b
(/ (- (* x y) (* z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
2.0ms
(- (* x y) (* z t))
7.0ms
(/ (- (* x y) (* z t)) a)

series93.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x y) (* z t))
52.0ms
(/ (- (* x y) (* z t)) a)

simplify946.0ms

Counts
48 → 48
Iterations

Useful iterations: done (944.0ms)

IterNodesCost
080652
1202632
2614582
31971582
done5001581

prune137.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* z t) a))
5.4b
(/ (* x y) a)
6.5b
(/ (* z t) a)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
9.0ms
(- (/ (* x y) a) (/ (* z t) a))
3.0ms
(/ (* x y) a)
3.0ms
(/ (* z t) a)

series105.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (/ (* x y) a) (/ (* z t) a))
19.0ms
(/ (* x y) a)
18.0ms
(/ (* z t) a)

simplify1.7s

Counts
68 → 68
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0114699
1279658
2968616
34788616
done5000616

prune163.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(- (* x y) (* z t))
7.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
2.0ms
(- (* x y) (* z t))
14.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series93.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* x y) (* z t))
53.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.0s

Counts
58 → 58
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
0106832
1276728
2792638
33124638
done5000638

prune137.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (/ a y)) (/ (* z t) a))
5.3b
(/ x (/ a y))
6.5b
(/ (* z t) a)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
56×add-sqr-sqrt
49×*-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp add-log-exp
associate-/l*
pow1 difference-of-squares
frac-2neg clear-num
sub-neg flip3-- diff-log prod-exp associate-/r/ frac-sub flip-- cbrt-unprod distribute-lft-out--
Counts
3 → 108
Calls
3 calls:
40.0ms
(- (/ x (/ a y)) (/ (* z t) a))
5.0ms
(/ x (/ a y))
3.0ms
(/ (* z t) a)

series95.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (/ x (/ a y)) (/ (* z t) a))
21.0ms
(/ x (/ a y))
22.0ms
(/ (* z t) a)

simplify587.0ms

Counts
117 → 117
Iterations

Useful iterations: 2 (208.0ms)

IterNodesCost
02221429
15021328
215681256
done50001256

prune300.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes419.0ms

Accuracy

89.3% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 7.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02253
13043
done3043

end0.0ms

sample644.0ms

Algorithm
intervals
Results
317.0ms11186×body80valid