Details

Time bar (total: 13.1s)

sample170.0ms

Algorithm
intervals
Results
104.0ms115×body1280valid
37.0ms86×body640valid
7.0ms33×body320valid
4.0ms256×pre80true
2.0ms17×body160valid
0.0ms5×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.5b
(log (+ 1.0 x))
4.5b
(log (- 1.0 x))

rewrite20.0ms

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:
11.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series257.0ms

Counts
3 → 9
Calls
3 calls:
152.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
54.0ms
(log (+ 1.0 x))
51.0ms
(log (- 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune291.0ms

Filtered
78 candidates to 55 candidates (29.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74478
Fresh000
Picked011
Done000
Total74579

Merged error: 60.0b

Counts
79 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 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)))))
0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
4.5b
(log (- 1.0 x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
84×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
50×*-un-lft-identity
48×add-cube-cbrt
30×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
11×pow1 add-cbrt-cube
10×div-exp prod-exp
8×add-log-exp
6×pow-to-exp pow-exp
5×log-prod associate-*r/ log-pow
4×log-div flip3-- associate-/r/ frac-sub flip-- associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv flip3-+ diff-log div-sub cbrt-unprod flip-+ div-inv
1×sub-neg frac-2neg rem-log-exp pow-prod-down associate--l+ clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 179
Calls
4 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 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)))))
19.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms
(log (- 1.0 x))

series337.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
165.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
63.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
57.0ms
(log (- 1.0 x))

simplify113.0ms

Algorithm
egg-herbie
Counts
191 → 191
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
010361800
143931620
250011617

prune1.6s

Filtered
191 candidates to 127 candidates (33.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1901191
Fresh123
Picked101
Done011
Total1924196

Merged error: 0.1b

Counts
196 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
159×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
95×*-un-lft-identity
83×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
16×add-cbrt-cube
12×pow1 pow-to-exp pow-exp
8×distribute-lft-out-- add-log-exp
6×associate-*r/ associate-*l* associate-/l*
4×associate-/r/ log-pow frac-sub cbrt-unprod difference-of-squares
3×cbrt-undiv flip3-- associate-/r* flip-- div-inv
2×flip3-+ diff-log pow-prod-down *-commutative flip-+ associate-/l/
1×sub-neg frac-2neg div-sub associate--l+ clear-num sum-log
Counts
4 → 282
Calls
4 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
21.0ms
(* 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)))))

series331.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
63.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
64.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
152.0ms
(/ (- (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)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
294 → 294
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
08962783
138792484
250012481

prune2.5s

Filtered
294 candidates to 184 candidates (37.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2913294
Fresh022
Picked101
Done011
Total2926298

Merged error: 0.1b

Counts
298 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 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)) (* 0.5 (pow x 2))))
0.0b
(* 0.5 (pow x 2))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
98×times-frac
76×associate-*r*
64×*-un-lft-identity
60×unpow-prod-down
52×add-cube-cbrt
34×add-exp-log
26×unpow2 sqr-pow
21×unswap-sqr
13×prod-exp add-cbrt-cube
10×pow1 div-exp
8×distribute-lft-out-- add-log-exp
7×pow-to-exp pow-exp
6×associate-*l* associate-/l*
4×log-pow difference-of-squares
3×flip3-- associate-/r* flip-- cbrt-unprod
2×cbrt-undiv diff-log associate-/r/ *-commutative div-inv associate-/l/
1×sub-neg frac-2neg div-sub associate-*r/ pow-prod-down associate--l+ clear-num sum-log
Counts
4 → 195
Calls
4 calls:
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2)))
22.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
13.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))))
5.0ms
(* 0.5 (pow x 2))

series269.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2)))
61.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
138.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (* 0.5 (pow x 2))))
29.0ms
(* 0.5 (pow x 2))

simplify96.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08861970
138171769
250011766

prune1.8s

Filtered
207 candidates to 130 candidates (37.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2061207
Fresh134
Picked011
Done011
Total2076213

Merged error: 0.1b

Counts
213 → 6

regimes90.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02215
12215

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.0s3373×body1280valid
1.1s2517×body640valid
270.0ms1210×body320valid
123.0ms8000×pre80true
83.0ms656×body160valid
13.0ms244×body80valid

Profiling

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