Details

Time bar (total: 6.0s)

analyze1.0s (17.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%74.7%25.3%8
0%74.7%25.3%9
0%65.4%34.6%10
0%51.4%48.6%11
0%51.4%48.6%12
0%51.4%48.6%13
0%51.4%48.6%14

sample89.0ms (1.5%)

Algorithm
intervals
Results
25.0ms256×body80valid
23.0ms331×body80nan
4.0ms49×body80invalid

simplify29.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
0522321

prune12.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×log-prod *-un-lft-identity
14×add-cube-cbrt
11×add-log-exp
10×pow1
distribute-rgt-in distribute-lft-in
add-exp-log associate-*r* associate-*l* add-cbrt-cube
associate-+l+
sum-log
+-commutative flip3-+ pow-prod-down associate-*l/ prod-exp log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
flip3-- flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 85
Calls

4 calls:

9.0ms
(* (- b 0.5) (log c))
6.0ms
(+ (+ (* x (log y)) z) t)
5.0ms
(+ (* x (log y)) z)
4.0ms
(* x (log y))

series38.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

11.0ms
(+ (+ (* x (log y)) z) t)
10.0ms
(+ (* x (log y)) z)
9.0ms
(* (- b 0.5) (log c))
7.0ms
(* x (log y))

simplify48.0ms (0.8%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05115807

prune182.0ms (3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New91697
Fresh000
Picked101
Done000
Total92698

Merged error: 0.0b

Counts
98 → 6

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* x (log y))
0.3b
(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite21.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×log-prod
16×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×cbrt-prod associate-+r+
distribute-rgt-in distribute-lft-in
associate-*l/
pow1
add-exp-log add-cbrt-cube add-log-exp
flip3-- associate-*r* frac-add flip--
associate-*l*
pow1/3
+-commutative flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 75
Calls

4 calls:

11.0ms
(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
5.0ms
(* x (log y))
1.0ms
(cbrt c)
1.0ms
(cbrt c)

series87.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

35.0ms
(+ (* (- b 0.5) (* (log (cbrt c)) 2)) (* (- b 0.5) (log (cbrt c))))
23.0ms
(cbrt c)
22.0ms
(cbrt c)
7.0ms
(* x (log y))

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05052779

prune177.0ms (2.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh145
Picked011
Done000
Total86793

Merged error: 0.0b

Counts
93 → 7

localize33.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(* x (log y))
0.6b
(cbrt c)
0.6b
(cbrt (sqrt c))
0.6b
(cbrt (sqrt c))

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
pow1
add-exp-log log-prod sqrt-prod add-cbrt-cube
associate-*r* add-log-exp
distribute-rgt-in distribute-lft-in pow1/3 associate-*l*
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls

4 calls:

4.0ms
(* x (log y))
2.0ms
(cbrt (sqrt c))
2.0ms
(cbrt (sqrt c))
1.0ms
(cbrt c)

series63.0ms (1%)

Counts
4 → 12
Calls

4 calls:

25.0ms
(cbrt c)
15.0ms
(cbrt (sqrt c))
15.0ms
(cbrt (sqrt c))
7.0ms
(* x (log y))

simplify54.0ms (0.9%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05173427

prune155.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh055
Picked011
Done011
Total76783

Merged error: 0.0b

Counts
83 → 7

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite18.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
12×distribute-rgt-in associate-+r+ distribute-lft-in
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 → 78
Calls

4 calls:

8.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series84.0ms (1.4%)

Counts
4 → 12
Calls

4 calls:

23.0ms
(cbrt y)
21.0ms
(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms
(cbrt y)
20.0ms
(* x (log (cbrt y)))

simplify69.0ms (1.1%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04951620
14951620

prune138.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh224
Picked101
Done022
Total91697

Merged error: 0.0b

Counts
97 → 6

regimes1.2s (19.9%)

Accuracy

Total 0.1b remaining (84.1%)

Threshold costs 0.1b (84.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05136
15136

end0.0ms (0%)

sample2.3s (38.5%)

Algorithm
intervals
Results
731.0ms9837×body80nan
647.0ms7998×body80valid
106.0ms1255×body80invalid
0.0msbody320valid
0.0msbody160valid

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