Details

Time bar (total: 13.9s)

sample47.0ms

Algorithm
intervals
Results
23.0ms352×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
6.8b
(/ (- (* x y) (* z t)) a)

rewrite36.0ms

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:
15.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

series151.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(- (* x y) (* z t))
70.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
48 → 48
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune155.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
4.5b
(/ (* t z) a)
5.9b
(/ (* x y) a)

rewrite40.0ms

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:
19.0ms
(- (/ (* x y) a) (/ (* t z) a))
10.0ms
(/ (* t z) a)
10.0ms
(/ (* x y) a)

series136.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (/ (* x y) a) (/ (* t z) a))
22.0ms
(/ (* t z) a)
27.0ms
(/ (* x y) a)

simplify3.4s

Counts
68 → 68
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
0111699
1274658
2960594
34705594
done5001594

prune202.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (/ (* t z) a))
4.3b
(* x (/ y a))
4.5b
(/ (* t z) a)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×add-exp-log add-cube-cbrt *-un-lft-identity times-frac associate-*r* add-cbrt-cube
pow1 add-log-exp
cbrt-undiv associate-*r/ div-exp associate-*l* prod-exp associate-/r* cbrt-unprod
div-inv unswap-sqr
sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 67
Calls
3 calls:
11.0ms
(- (* x (/ y a)) (/ (* t z) a))
14.0ms
(* x (/ y a))
10.0ms
(/ (* t z) a)

series141.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(- (* x (/ y a)) (/ (* t z) a))
22.0ms
(* x (/ y a))
28.0ms
(/ (* t z) a)

simplify3.1s

Counts
76 → 76
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
0133746
1325695
21018631
34171631
done5000631

prune211.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* t (/ z a)))
4.3b
(* x (/ y a))
4.6b
(* t (/ z a))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
pow1
associate-*r/ associate-*l*
add-log-exp
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 78
Calls
3 calls:
12.0ms
(- (* x (/ y a)) (* t (/ z a)))
15.0ms
(* x (/ y a))
21.0ms
(* t (/ z a))

series154.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(- (* x (/ y a)) (* t (/ z a)))
27.0ms
(* x (/ y a))
28.0ms
(* t (/ z a))

simplify2.4s

Counts
87 → 87
Iterations

Useful iterations: 2 (225.0ms)

IterNodesCost
0151837
1376776
21096712
33557712
done5001712

prune207.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

regimes203.0ms

Accuracy

88.2% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 8.3b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02555
13245
done3245

end0.0ms

sample1.2s

Algorithm
intervals
Results
702.0ms11203×body80valid