Details

Time bar (total: 14.7s)

sample37.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
10.0ms236×body80nan

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01114
12112
23312
34212
44312
done4312

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize25.0ms

Local error

Found 3 expressions with local error:

1.0b
(+ (* x y) (* x z))
1.8b
(+ (+ (* x y) (* x z)) (* y z))
18.0b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
16.0ms
(+ (* x y) (* x z))
34.0ms
(+ (+ (* x y) (* x z)) (* y z))
66.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series247.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(+ (* x y) (* x z))
50.0ms
(+ (+ (* x y) (* x z)) (* y z))
136.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify2.7s

Counts
49 → 49
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
086787
1250604
2870570
33394560
done5002560

prune159.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 19.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* x (+ y z)) (* y z))
1.8b
(+ (* x (+ y z)) (* y z))
18.0b
(sqrt (+ (* x (+ y z)) (* y z)))
18.0b
(sqrt (+ (* x (+ y z)) (* y z)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log associate-+l+ flip3-+ sqrt-div add-cbrt-cube flip-+
2×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 56
Calls
4 calls:
27.0ms
(+ (* x (+ y z)) (* y z))
34.0ms
(+ (* x (+ y z)) (* y z))
16.0ms
(sqrt (+ (* x (+ y z)) (* y z)))
18.0ms
(sqrt (+ (* x (+ y z)) (* y z)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (* x (+ y z)) (* y z))
31.0ms
(+ (* x (+ y z)) (* y z))
164.0ms
(sqrt (+ (* x (+ y z)) (* y z)))
177.0ms
(sqrt (+ (* x (+ y z)) (* y z)))

simplify2.3s

Counts
68 → 68
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0681058
1186958
2586894
32446878
done5002878

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize59.0ms

Local error

Found 4 expressions with local error:

1.8b
(+ (* x (+ y z)) (* y z))
18.0b
(sqrt (+ (* x (+ y z)) (* y z)))
18.5b
(cbrt (+ (* x (+ y z)) (* y z)))
18.5b
(cbrt (+ (* x (+ y z)) (* y z)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log cbrt-div flip3-+ add-cbrt-cube flip-+
3×sqrt-prod
2×associate-+l+ pow1/3 sqrt-div
1×+-commutative distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 sum-log
Counts
4 → 54
Calls
4 calls:
17.0ms
(+ (* x (+ y z)) (* y z))
15.0ms
(sqrt (+ (* x (+ y z)) (* y z)))
12.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
19.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

series875.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (* x (+ y z)) (* y z))
176.0ms
(sqrt (+ (* x (+ y z)) (* y z)))
338.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
314.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

simplify2.5s

Counts
66 → 66
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01011095
12581031
2731957
32786935
done5000919

prune502.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize61.0ms

Local error

Found 4 expressions with local error:

18.5b
(cbrt (+ (* x (+ y z)) (* y z)))
18.5b
(cbrt (+ (* x (+ y z)) (* y z)))
18.5b
(cbrt (+ (* x (+ y z)) (* y z)))
18.5b
(cbrt (+ (* x (+ y z)) (* y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
10.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
11.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
16.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
10.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
371.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
272.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
319.0ms
(cbrt (+ (* x (+ y z)) (* y z)))
299.0ms
(cbrt (+ (* x (+ y z)) (* y z)))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0571132
11571104
24691020
31648992
done5000960

prune525.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 19.0b

regimes4.0ms