Details

Time bar (total: 8.3s)

sample158.0ms

Algorithm
intervals
Results
98.0ms108×body1280valid
35.0ms81×body640valid
7.0ms31×body320valid
4.0ms256×pre80true
3.0ms23×body160valid
1.0ms13×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.1b
(log (+ 1.0 x))
6.1b
(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))

series24.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0515773
12021724
25002711

prune381.0ms

Filtered
56 candidates to 78 candidates (-39.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New661278
Fresh000
Picked101
Done000
Total671279

Merged error: 57.4b

Counts
79 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
6.1b
(log (- 1.0 x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
83×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
47×add-cube-cbrt
29×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×pow1 div-exp prod-exp add-cbrt-cube
6×pow-to-exp pow-exp
5×log-prod log-pow
4×log-div associate-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
21.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms
(log (- 1.0 x))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
11.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
3.0ms
(log (- 1.0 x))

simplify105.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010401572
144061408
250011408

prune401.0ms

Filtered
114 candidates to 172 candidates (-50.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh5611
Picked101
Done000
Total1777184

Merged error: 0.1b

Counts
184 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
158×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
94×*-un-lft-identity
82×add-cube-cbrt
51×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
15×add-cbrt-cube
12×pow-to-exp pow-exp
11×pow1
8×distribute-lft-out--
6×associate-*l* associate-/l*
4×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
21.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series20.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
9.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08552533
136882253
250012252

prune795.0ms

Filtered
171 candidates to 275 candidates (-60.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2723275
Fresh246
Picked011
Done000
Total2748282

Merged error: 0.1b

Counts
282 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
17×*-un-lft-identity
14×add-sqr-sqrt
10×cbrt-div
8×add-cube-cbrt
7×pow1
6×distribute-lft-out--
4×add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
3×log-pow difference-of-squares
2×associate-*r/ frac-sub
1×flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
5.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04501658
116321566
250021492

prune939.0ms

Filtered
65 candidates to 75 candidates (-15.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New75075
Fresh066
Picked011
Done011
Total75883

Merged error: 0.1b

Counts
83 → 8

regimes63.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.1s3395×body1280valid
1.1s2499×body640valid
288.0ms1251×body320valid
126.0ms8000×pre80true
84.0ms632×body160valid
12.0ms223×body80valid

Profiling

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