Details

Time bar (total: 4.9s)

analyze877.0ms (17.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%74.8%25.2%5
0%74.8%25.2%6
0%74.8%25.2%7
0%74.8%25.2%8
0%74.8%25.2%9
0%62.3%37.7%10
0%56.1%43.9%11
0%56.1%43.9%12
1.6%54.5%43.9%13
2.4%53.7%43.9%14

sample33.0ms (0.7%)

Algorithm
intervals
Results
14.0ms256×body80valid
2.0ms30×body80invalid
1.0ms29×body80nan

simplify254.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (252.0ms)

IterNodesCost
0371716
1371716

prune13.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(* (- a 0.5) b)
0.0b
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b
(- (+ (+ x y) z) (* z (log t)))
0.3b
(* z (log t))

rewrite32.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
27×add-log-exp
18×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt log-prod
10×sum-log
pow1
add-exp-log associate-*l* add-cbrt-cube
associate-*r*
distribute-rgt-in flip3-- distribute-lft-in diff-log associate-*l/ flip-- associate--r+
frac-add
sub-neg associate-+l+ pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
+-commutative associate-+l- flip3-+ log-pow flip-+ distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls

4 calls:

11.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms
(- (+ (+ x y) z) (* z (log t)))
6.0ms
(* (- a 0.5) b)
4.0ms
(* z (log t))

series63.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms
(- (+ (+ x y) z) (* z (log t)))
7.0ms
(* z (log t))
4.0ms
(* (- a 0.5) b)

simplify42.0ms (0.8%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049981309
149981309

prune188.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New928100
Fresh000
Picked101
Done000
Total938101

Merged error: 0b

Counts
101 → 8

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(* z (* 2 (log (cbrt t))))
0.2b
(* z (log (cbrt t)))
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 96
Calls

4 calls:

6.0ms
(* z (* 2 (log (cbrt t))))
5.0ms
(* z (log (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series89.0ms (1.8%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(* z (* 2 (log (cbrt t))))
22.0ms
(cbrt t)
22.0ms
(cbrt t)
20.0ms
(* z (log (cbrt t)))

simplify63.0ms (1.3%)

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04877854
14877854

prune192.0ms (3.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh167
Picked011
Done000
Total1088116

Merged error: 0b

Counts
116 → 8

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(* z (log (cbrt t)))
0.3b
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.5b
(cbrt t)
0.5b
(cbrt t)

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls

4 calls:

10.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
5.0ms
(* z (log (cbrt t)))
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series86.0ms (1.7%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
22.0ms
(cbrt t)
21.0ms
(cbrt t)
19.0ms
(* z (log (cbrt t)))

simplify80.0ms (1.6%)

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04879844
14879844

prune187.0ms (3.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh066
Picked011
Done011
Total1148122

Merged error: 0b

Counts
122 → 8

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(* z (* (log t) 2/3))
0.2b
(* z (log (cbrt t)))
0.4b
(* (log t) 2/3)
0.5b
(cbrt t)

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×pow1
14×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
12×log-prod
10×associate-*l*
cbrt-prod associate-*r*
distribute-rgt-in distribute-lft-in
pow-prod-down prod-exp cbrt-unprod
add-log-exp
log-pow *-commutative
pow1/3 unswap-sqr
Counts
4 → 80
Calls

4 calls:

5.0ms
(* z (log (cbrt t)))
5.0ms
(* z (* (log t) 2/3))
4.0ms
(* (log t) 2/3)
1.0ms
(cbrt t)

series64.0ms (1.3%)

Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt t)
19.0ms
(* z (log (cbrt t)))
13.0ms
(* (log t) 2/3)
11.0ms
(* z (* (log t) 2/3))

simplify68.0ms (1.4%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04871579
14871579

prune132.0ms (2.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New92092
Fresh055
Picked011
Done022
Total928100

Merged error: 0b

Counts
100 → 8

regimes1.4s (28.1%)

Accuracy

Total 0.1b remaining (78.3%)

Threshold costs 0.1b (78.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08925
18925

end0.0ms (0%)

sample954.0ms (19.3%)

Algorithm
intervals
Results
462.0ms7997×body80valid
71.0ms1151×body80invalid
62.0ms1174×body80nan
1.0msbody320valid

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