Details

Time bar (total: 9.3s)

sample52.0ms

Algorithm
intervals
Results
20.0ms373×body80valid

simplify58.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.9b
(/ (- (* x y) (* z t)) a)

rewrite30.0ms

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:
9.0ms
(- (* x y) (* z t))
19.0ms
(/ (- (* x y) (* z t)) a)

series456.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(- (* x y) (* z t))
390.0ms
(/ (- (* x y) (* z t)) a)

simplify2.1s

Counts
48 → 48
Iterations

Useful iterations: 3 (647.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune195.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.9b
(/ (* t z) a)
5.3b
(/ (* x y) a)

rewrite48.0ms

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:
18.0ms
(- (/ (* x y) a) (/ (* t z) a))
18.0ms
(/ (* t z) a)
11.0ms
(/ (* x y) a)

series138.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (/ (* x y) a) (/ (* t z) a))
21.0ms
(/ (* t z) a)
34.0ms
(/ (* x y) a)

simplify993.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
0111699
1294658
21532594
done5002594

prune187.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (* t (/ z a)))
3.2b
(* t (/ z a))
5.3b
(/ (* x y) a)

rewrite53.0ms

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:
16.0ms
(- (/ (* x y) a) (* t (/ z a)))
21.0ms
(* t (/ z a))
13.0ms
(/ (* x y) a)

series204.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(- (/ (* x y) a) (* t (/ z a)))
33.0ms
(* t (/ z a))
41.0ms
(/ (* x y) a)

simplify1.2s

Counts
76 → 76
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
0133746
1357699
21598631
done5000631

prune252.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* t (/ z a)))
3.2b
(* t (/ z a))
5.4b
(* x (/ y a))

rewrite69.0ms

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)))
20.0ms
(* t (/ z a))
34.0ms
(* x (/ y a))

series169.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(- (* x (/ y a)) (* t (/ z a)))
41.0ms
(* t (/ z a))
33.0ms
(* x (/ y a))

simplify965.0ms

Counts
87 → 87
Iterations

Useful iterations: 2 (252.0ms)

IterNodesCost
0151837
1411784
21599712
done5000712

prune238.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes517.0ms

Accuracy

84.6% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 7.9b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02660
13250
done3250

end0.0ms

sample1.4s

Algorithm
intervals
Results
642.0ms11160×body80valid