Details

Time bar (total: 7.5s)

analyze1.3s

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
0%50%50%4
3.1%46.8%50%5
4.7%45.3%50%6
5.5%44.5%50%7
5.9%44.1%50%8
6%43.9%50%9
6.1%43.8%50%10
6.2%43.8%50%11
6.2%43.7%50%12
6.2%43.7%50%13
6.2%43.7%50%14

sample168.0ms

Algorithm
intervals
Results
106.0ms113×body1280valid
33.0ms67×body640valid
12.0ms50×body320valid
4.0ms256×pre80true
3.0ms23×body160valid
0.0ms3×body80valid

simplify98.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
054129

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.4b
(log (+ 1.0 x))
6.4b
(log (- 1.0 x))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
15×pow1 add-cube-cbrt
12×log-pow
9×log-prod
7×add-exp-log
6×log-div
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×add-log-exp
2×flip3-- div-sub rem-log-exp flip--
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify53.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049471092
149471092

prune163.0ms

Filtered
55 candidates to 78 candidates (-41.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh000
Picked011
Done000
Total74579

Merged error: 60.4b

Counts
79 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))
6.4b
(log (- 1.0 x))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×flip3-- div-sub associate-/r/ flip-- add-log-exp
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 51
Calls
2 calls:
10.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))
3.0ms
(log (- 1.0 x))

series13.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (log (- 1.0 x)) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))
3.0ms
(log (- 1.0 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
051791405

prune147.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh123
Picked101
Done011
Total58462

Merged error: 0.0b

Counts
62 → 4

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (log 1.0) (* x (+ 1.0 (* (/ x (* 1.0 1.0)) 1/2)))) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-sub div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
10.0ms
(/ (- (log 1.0) (* x (+ 1.0 (* (/ x (* 1.0 1.0)) 1/2)))) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (- (log 1.0) (* x (+ 1.0 (* (/ x (* 1.0 1.0)) 1/2)))) (+ (* 1.0 x) (+ (log 1.0) (* (* x (/ x (* 1.0 1.0))) -1/2))))

simplify43.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049761348
149761348

prune120.0ms

Filtered
31 candidates to 35 candidates (-12.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33235
Fresh022
Picked101
Done011
Total34539

Merged error: 0b

Counts
39 → 5

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))
0.0b
(/ (- (* x (+ 1.0 (* x (/ 1/2 (* 1.0 1.0))))) (log 1.0)) (- (neg (log 1.0)) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube
4×pow1
3×associate-*r* associate-*l* associate-/r* associate-/l*
2×flip3-- associate-*r/ associate-/r/ flip-- associate-/l/ add-log-exp
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in flip3-+ div-sub div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod flip-+ div-inv unswap-sqr
Counts
2 → 54
Calls
2 calls:
9.0ms
(* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))
12.0ms
(/ (- (* x (+ 1.0 (* x (/ 1/2 (* 1.0 1.0))))) (log 1.0)) (- (neg (log 1.0)) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))
7.0ms
(/ (- (* x (+ 1.0 (* x (/ 1/2 (* 1.0 1.0))))) (log 1.0)) (- (neg (log 1.0)) (* x (+ (* (/ x (* 1.0 1.0)) -1/2) 1.0))))

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
054301714

prune160.0ms

Filtered
49 candidates to 60 candidates (-22.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh033
Picked011
Done011
Total60565

Merged error: 0b

Counts
65 → 5

regimes97.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
015830
115830

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3394×body1280valid
1.1s2473×body640valid
302.0ms1290×body320valid
134.0ms8000×pre80true
87.0ms619×body160valid
14.0ms224×body80valid

Profiling

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