Details

Time bar (total: 4.1s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample85.0ms

Algorithm
intervals
Results
47.0ms96×body1280valid
22.0ms86×body640valid
7.0ms49×body320valid
2.0ms20×body160valid
0.0ms5×body80valid

simplify152.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (150.0ms)

IterNodesCost
050418

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 eps) (+ 1.0 eps))
4.9b
(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/l*
4×associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div flip3-- frac-2neg div-sub clear-num log-pow flip--
Counts
2 → 83
Calls
2 calls:
7.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (- 1.0 eps) (+ 1.0 eps))
5.0ms
(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify59.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049551113
149551113

prune134.0ms

Filtered
59 candidates to 89 candidates (-50.8%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490

Merged error: 0.1b

Counts
90 → 4

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 0.1b

Counts
4 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* eps (- eps 1.0))
4.9b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
5.0b
(log (+ (* 1.0 1.0) (* eps (- eps 1.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
91×*-un-lft-identity
54×log-prod
45×times-frac
43×add-sqr-sqrt
25×distribute-lft-out
21×add-cube-cbrt
20×unpow-prod-down cube-prod
10×distribute-lft-out-- difference-of-squares
9×add-exp-log
7×pow1
5×associate-*r* sum-cubes add-cbrt-cube
3×log-div rem-log-exp associate-*l* add-log-exp
2×sub-neg flip3-+ associate-*r/ associate-/r/ log-pow flip-+
1×distribute-rgt-in flip3-- distribute-lft-in div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod div-inv unswap-sqr
Counts
3 → 100
Calls
3 calls:
6.0ms
(* eps (- eps 1.0))
15.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.0ms
(log (+ (* 1.0 1.0) (* eps (- eps 1.0))))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* eps (- eps 1.0))
5.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))
4.0ms
(log (+ (* 1.0 1.0) (* eps (- eps 1.0))))

simplify71.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049301667
149301667

prune178.0ms

Filtered
62 candidates to 109 candidates (-75.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1072109
Fresh202
Picked011
Done011
Total1094113

Merged error: 0.1b

Counts
113 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (* (/ eps 1.0) (/ eps 1.0)))
0.0b
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
0.0b
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
4.9b
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
175×*-un-lft-identity
105×log-prod
90×times-frac
73×add-sqr-sqrt
52×distribute-lft-out
51×associate-+l+
40×unpow-prod-down cube-prod
36×add-cube-cbrt
25×add-exp-log
22×add-cbrt-cube
19×add-log-exp
18×distribute-lft-out-- difference-of-squares
12×sum-log
11×pow1
10×sum-cubes
9×prod-exp cbrt-unprod
5×associate-+r+ div-exp
4×cbrt-undiv flip3-+ diff-log associate-*r/ associate-/r/ flip-+
3×associate-+r- associate-*l* pow-prod-down associate--l+
2×+-commutative log-div rem-log-exp log-pow div-inv
1×frac-times associate-+l- sub-neg associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 178
Calls
4 calls:
9.0ms
(* 0.5 (* (/ eps 1.0) (/ eps 1.0)))
29.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
12.0ms
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
17.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

series22.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 0.5 (* (/ eps 1.0) (/ eps 1.0)))
10.0ms
(+ (log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3)))) (+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0)))))))
4.0ms
(+ (* 1.0 (* eps eps)) (- (log 1.0) (+ (* 1.0 eps) (* 0.5 (* (/ eps 1.0) (/ eps 1.0))))))
5.0ms
(log (/ (- 1.0 eps) (+ (pow 1.0 3) (pow eps 3))))

simplify49.0ms

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052034681

prune574.0ms

Filtered
107 candidates to 190 candidates (-77.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1891190
Fresh011
Picked101
Done022
Total1904194

Merged error: 0.1b

Counts
194 → 4

regimes37.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04918
14918

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s3349×body1280valid
634.0ms2530×body640valid
188.0ms1234×body320valid
61.0ms664×body160valid
9.0ms223×body80valid

Profiling

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