Details

Time bar (total: 5.2s)

sample33.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms256×pre80true

simplify227.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (+ b d) c)
2.5b
(+ (+ (+ b d) c) a)

rewrite168.0ms

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:
42.0ms
(+ (+ b d) c)
124.0ms
(+ (+ (+ b d) c) a)

series70.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ (+ b d) c)
53.0ms
(+ (+ (+ b d) c) a)

simplify513.0ms

Counts
38 → 38
Iterations
IterNodes
done5000
2819
1161
057

prune237.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 1.5b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite375.0ms

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:
306.0ms
(/ (* (+ c (+ (+ b d) a)) (- (+ c (+ b d)) a)) (- (+ c (+ b d)) a))
24.0ms
(+ c (+ b d))
19.0ms
(+ c (+ b d))
22.0ms
(+ (+ b d) a)

series124.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ (* (+ c (+ (+ b d) a)) (- (+ c (+ b d)) a)) (- (+ c (+ b d)) a))
26.0ms
(+ c (+ b d))
17.0ms
(+ c (+ b d))
20.0ms
(+ (+ b d) a)

simplify1.7s

Counts
96 → 96
Iterations
IterNodes
done5001
22872
1425
0129

prune398.0ms

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

simplify3.0ms

Iterations
IterNodes
done19
219
118
011

end0.0ms

sample1.2s

Algorithm
intervals
Results
359.0ms8000×body80valid
288.0ms8000×pre80true