Details

Time bar (total: 11.1s)

analyze1.3s

Algorithm
search

sample160.0ms

Algorithm
intervals
Results
99.0ms110×body1280valid
38.0ms87×body640valid
9.0ms40×body320valid
4.0ms256×pre80true
1.0ms11×body160valid
0.0ms8×body80valid

simplify5.0ms

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: 61.8b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.1b
(log (- 1.0 x))
4.2b
(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))

series20.0ms

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))

simplify54.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0515773
12021724
25002711

prune379.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New72678
Fresh000
Picked011
Done000
Total72779

Merged error: 59.6b

Counts
79 → 7

localize15.0ms

Local error

Found 3 expressions with local error:

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)))
4.1b
(log (- 1.0 x))

rewrite38.0ms

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:
10.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
17.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
3.0ms
(log (- 1.0 x))

series18.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(* 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 (22.0ms)

IterNodesCost
010401572
144061408
250011408

prune380.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1711172
Fresh415
Picked101
Done101
Total1772179

Merged error: 0.0b

Counts
179 → 2

localize13.0ms

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)))))

rewrite65.0ms

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:
18.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
21.0ms
(* 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)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series19.0ms

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)))))

simplify106.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08552533
136882253
250012252

prune841.0ms

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2723275
Fresh011
Picked101
Done000
Total2734277

Merged error: 0b

Counts
277 → 4

localize20.0ms

Local error

Found 4 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
(exp (/ (- (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))))))
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)))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
175×add-sqr-sqrt
136×associate-*r*
114×*-un-lft-identity
112×unpow-prod-down
93×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
26×exp-prod
20×prod-exp
19×div-exp
16×add-cbrt-cube
15×pow1
14×distribute-lft-out--
12×pow-to-exp pow-exp
8×associate-/r/
7×log-pow difference-of-squares
6×associate-*r/ associate-*l* associate-/l*
5×add-log-exp
4×frac-sub cbrt-unprod div-inv
3×cbrt-undiv flip3-- associate-/r* flip--
2×flip3-+ div-sub pow-prod-down *-commutative flip-+ associate-/l/
1×frac-2neg exp-diff clear-num rem-exp-log
Counts
4 → 301
Calls
4 calls:
18.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
18.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
12.0ms
(exp (/ (- (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))))))
13.0ms
(/ (- (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)))))

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(exp (/ (- (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))))))
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)))))

simplify113.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
09373262
139392945
250012944

prune1.2s

Filtered
199 candidates to 313 candidates (-57.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3130313
Fresh033
Picked011
Done000
Total3134317

Merged error: 0b

Counts
317 → 4

regimes36.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02119
12119

end0.0ms

analyze1.3s

Algorithm
search

sample4.9s

Algorithm
intervals
Results
3.1s3427×body1280valid
1.1s2519×body640valid
276.0ms1221×body320valid
136.0ms8000×pre80true
82.0ms618×body160valid
12.0ms215×body80valid

Profiling

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