Details

Time bar (total: 5.5s)

sample43.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms256×pre80true

simplify239.0ms

Counts
1 → 1
Iterations
IterNodes
done481
6481
5445
4300
3146
253
117
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (+ b d) c)
2.8b
(+ (+ (+ b d) c) a)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
2 → 32
Calls
2 calls:
26.0ms
(+ (+ b d) c)
108.0ms
(+ (+ (+ b d) c) a)

series71.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (+ b d) c)
51.0ms
(+ (+ (+ b d) c) a)

simplify520.0ms

Counts
38 → 38
Iterations
IterNodes
done5000
2819
1161
057

prune205.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.8b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* (+ c (+ (+ b d) a)) (- (+ c (+ b d)) a)) (- (+ c (+ b d)) a))
0.3b
(+ c (+ b d))
0.3b
(+ c (+ b d))
0.9b
(+ (+ b d) a)

rewrite369.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
19×add-log-exp
15×distribute-lft-out
10×add-sqr-sqrt
9×sum-log add-cbrt-cube add-exp-log
8×associate-/l/
7×associate-/r* times-frac
6×flip3-+ add-cube-cbrt flip-+ distribute-lft-out--
4×frac-times pow1 flip3-- flip--
3×+-commutative
2×cbrt-undiv associate-+r+ div-exp associate-*l/ associate-*r/ associate-/r/ difference-of-squares
1×associate-+l+ clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
Counts
4 → 84
Calls
4 calls:
310.0ms
(/ (* (+ c (+ (+ b d) a)) (- (+ c (+ b d)) a)) (- (+ c (+ b d)) a))
15.0ms
(+ c (+ b d))
13.0ms
(+ c (+ b d))
27.0ms
(+ (+ b d) a)

series134.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ (* (+ c (+ (+ b d) a)) (- (+ c (+ b d)) a)) (- (+ c (+ b d)) a))
29.0ms
(+ c (+ b d))
28.0ms
(+ c (+ b d))
18.0ms
(+ (+ b d) a)

simplify1.8s

Counts
96 → 96
Iterations
IterNodes
done5001
22872
1425
0129

prune608.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune4.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done19
219
118
011

end0.0ms

sample1.3s

Algorithm
intervals
Results
380.0ms8000×body80valid
375.0ms8000×pre80true