Details

Time bar (total: 14.1s)

sample476.0ms

Algorithm
intervals
Results
401.0ms272×body80valid
54.0ms85×body10240exit
2.0ms6×body640valid
2.0ms6×body320valid
1.0ms2×body1280valid
1.0ms6×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
2199
done199

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.6b
(log (+ 1.0 (exp x)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 45
Calls
3 calls:
14.0ms
(+ 1.0 (exp x))
25.0ms
(- (log (+ 1.0 (exp x))) (* x y))
10.0ms
(log (+ 1.0 (exp x)))

series240.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ 1.0 (exp x))
108.0ms
(- (log (+ 1.0 (exp x))) (* x y))
117.0ms
(log (+ 1.0 (exp x)))

simplify2.5s

Counts
54 → 54
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
092575
1208544
2499514
31195508
42600506
done5000506

prune237.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
1.3b
(log (sqrt (+ 1.0 (exp x))))
1.3b
(log (sqrt (+ 1.0 (exp x))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
18×*-un-lft-identity
12×sqrt-prod
10×add-sqr-sqrt add-cube-cbrt
8×pow1
7×associate--l+ add-log-exp
6×add-exp-log log-div sqrt-div log-pow
4×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l- sqrt-pow1 pow1/2 rem-log-exp
1×+-commutative sub-neg flip3-- diff-log sum-log flip--
Counts
4 → 73
Calls
4 calls:
12.0ms
(+ 1.0 (exp x))
26.0ms
(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
14.0ms
(log (sqrt (+ 1.0 (exp x))))
15.0ms
(log (sqrt (+ 1.0 (exp x))))

series474.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ 1.0 (exp x))
146.0ms
(- (log (sqrt (+ 1.0 (exp x)))) (* x y))
172.0ms
(log (sqrt (+ 1.0 (exp x))))
146.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify2.7s

Counts
85 → 85
Iterations

Useful iterations: 3 (377.0ms)

IterNodesCost
01081015
1228944
2524885
31306864
43635864
done5001864

prune385.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
1.3b
(log (sqrt (+ 1.0 (exp x))))
1.3b
(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.3b
(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
26×sqrt-prod
20×*-un-lft-identity
13×log-pow
12×pow1 add-sqr-sqrt add-cube-cbrt
10×sqrt-div
9×sqrt-pow1
7×add-exp-log
6×log-div add-log-exp
5×pow1/2
4×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
3×rem-log-exp
1×+-commutative sum-log
Counts
4 → 82
Calls
4 calls:
23.0ms
(+ 1.0 (exp x))
14.0ms
(log (sqrt (+ 1.0 (exp x))))
17.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
17.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))

series694.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ 1.0 (exp x))
137.0ms
(log (sqrt (+ 1.0 (exp x))))
287.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
255.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify3.4s

Counts
94 → 94
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
01331110
12471032
2520960
31292946
44514942
done5000942

prune542.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.6b
(log (+ 1.0 (exp x)))
1.3b
(log (sqrt (+ 1.0 (exp x))))
1.3b
(log (sqrt (sqrt (+ 1.0 (exp x)))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
18×*-un-lft-identity
15×sqrt-prod
10×pow1 add-sqr-sqrt add-cube-cbrt
9×log-pow
7×add-exp-log
6×log-div sqrt-div add-log-exp
5×sqrt-pow1
4×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
3×pow1/2 rem-log-exp
1×+-commutative sum-log
Counts
4 → 72
Calls
4 calls:
7.0ms
(+ 1.0 (exp x))
18.0ms
(log (+ 1.0 (exp x)))
14.0ms
(log (sqrt (+ 1.0 (exp x))))
11.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ 1.0 (exp x))
76.0ms
(log (+ 1.0 (exp x)))
177.0ms
(log (sqrt (+ 1.0 (exp x))))
268.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))

simplify1.2s

Counts
84 → 84
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0155926
1281868
2601802
31549790
done5000786

prune428.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

regimes1.0ms