Details

Time bar (total: 4.4s)

analyze5.0ms

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

sample100.0ms

Algorithm
intervals
Results
54.0ms102×body1280valid
26.0ms84×body640valid
9.0ms44×body320valid
2.0ms20×body160valid
0.0ms6×body80valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0486712
1486712

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 58.7b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
6.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

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-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051511111

prune156.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New85388
Fresh000
Picked101
Done000
Total86389

Merged error: 0.2b

Counts
89 → 3

localize21.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune13.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0.2b

Counts
3 → 3

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
6.6b
(log (+ 1.0 x))
6.6b
(log (- 1.0 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--r+
4×associate--l+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 60
Calls
3 calls:
9.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.0ms
(log (+ 1.0 x))
6.0ms
(log (- 1.0 x))

series19.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04957696
14957696

prune124.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh101
Picked011
Done101
Total70272

Merged error: 0.0b

Counts
72 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* x 2.0) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b
(* 2/3 (pow (/ x 1.0) 3))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
85×add-sqr-sqrt associate-*r*
78×times-frac
63×unpow-prod-down
49×add-cube-cbrt *-un-lft-identity
34×add-exp-log
22×sqr-pow
16×unswap-sqr
15×cube-prod
14×prod-exp
10×div-exp add-cbrt-cube
8×pow-exp add-log-exp
7×pow-to-exp
6×associate-*l*
5×pow1
4×associate-*r/
3×cube-div sum-log cbrt-unprod div-inv
2×flip3-+ frac-add *-commutative flip-+
1×cbrt-undiv +-commutative cube-mult associate-+r+ unpow3 pow-prod-down
Counts
3 → 158
Calls
3 calls:
12.0ms
(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* x 2.0) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
16.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
11.0ms
(* 2/3 (pow (/ x 1.0) 3))

series23.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ (* 2/3 (pow (/ x 1.0) 3)) (+ (* x 2.0) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
8.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
6.0ms
(* 2/3 (pow (/ x 1.0) 3))

simplify43.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052202024

prune509.0ms

Filtered
106 candidates to 167 candidates (-57.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1661167
Fresh000
Picked101
Done011
Total1672169

Merged error: 0b

Counts
169 → 2

regimes29.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05619
15619

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.8s3383×body1280valid
794.0ms2534×body640valid
246.0ms1263×body320valid
77.0ms622×body160valid
12.0ms198×body80valid

Profiling

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