Details

Time bar (total: 3.4m)

sample39.0ms

Algorithm
intervals
Results
16.0ms427×body80valid

simplify33.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
12615
24615
37015
47615
done7615

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z t)) (* a b))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (* x y) (* z t))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
11.0ms
(+ (+ (* x y) (* z t)) (* a b))
45.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
2.0ms
(+ (* x y) (* z t))

series297.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (+ (* x y) (* z t)) (* a b))
208.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
33.0ms
(+ (* x y) (* z t))

simplify1.3s

Counts
47 → 47
Iterations

Useful iterations: 3 (345.0ms)

IterNodesCost
085777
1273719
2977689
33945677
done5000677

prune142.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* c i) (* c i))
0.3b
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
4.9b
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
34.7b
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
50×pow1
20×add-exp-log add-cbrt-cube
19×add-sqr-sqrt
18×pow-prod-down
17×add-cube-cbrt *-un-lft-identity
12×times-frac
9×prod-exp cbrt-unprod
6×flip3-+ flip-+ add-log-exp
5×pow-sqr pow-prod-up difference-of-squares
4×frac-times swap-sqr associate-*r* associate-*l* associate-/l*
3×flip3-- pow-plus associate-/r* flip--
2×pow2 distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv unswap-sqr
Counts
4 → 120
Calls
4 calls:
9.0ms
(* (* c i) (* c i))
57.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
25.0ms
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
100.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.9m

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* c i) (* c i))
422.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
1.9m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i)))
702.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* c i) (* c i))) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify812.0ms

Counts
132 → 132
Iterations

Useful iterations: done (808.0ms)

IterNodesCost
01964875
15604348
226883568
done50003508

prune321.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
3.9b
(* (* (* c i) c) i)
4.9b
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i))
34.7b
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i)) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite197.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
19×add-sqr-sqrt
17×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×times-frac
7×pow-prod-down prod-exp cbrt-unprod
6×flip3-+ associate-*r* flip-+ add-log-exp
4×frac-times associate-*l*
3×flip3-- swap-sqr associate-/r* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-*r/ associate-*l/ associate--l+ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv pow2 sub-neg frac-2neg pow-plus diff-log div-sub div-exp clear-num pow-sqr pow-prod-up div-inv unswap-sqr
Counts
4 → 102
Calls
4 calls:
56.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
19.0ms
(* (* (* c i) c) i)
23.0ms
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i))
96.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i)) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series1.4m

Counts
4 → 12
Calls
4 calls:
422.0ms
(* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b)))
27.0ms
(* (* (* c i) c) i)
1.4m
(- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i))
656.0ms
(/ (- (* (+ (+ (* x y) (* z t)) (* a b)) (+ (+ (* x y) (* z t)) (* a b))) (* (* (* c i) c) i)) (- (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify952.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (298.0ms)

IterNodesCost
02014564
15794225
229073801
done50003801

prune314.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes305.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
12215
done2215

end0.0ms

sample1.0s

Algorithm
intervals
Results
506.0ms13616×body80valid