Details

Time bar (total: 8.6s)

sample154.0ms

Algorithm
intervals
Results
97.0ms112×body1280valid
30.0ms76×body640valid
8.0ms42×body320valid
6.0ms256×pre80true
2.0ms20×body160valid
0.0ms6×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.4b
(log (+ 1.0 x))
6.4b
(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:
7.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
2.0ms
(log (- 1.0 x))

series212.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
40.0ms
(log (+ 1.0 x))
45.0ms
(log (- 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune191.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 59.5b

localize15.0ms

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)))))
6.4b
(log (- 1.0 x))

rewrite64.0ms

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:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
25.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
2.0ms
(log (- 1.0 x))

series229.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
136.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
43.0ms
(log (- 1.0 x))

simplify104.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09951552
142051389
250011389

prune458.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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)))))

rewrite105.0ms

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:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
28.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
38.0ms
(/ (- (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)))))

series221.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
122.0ms
(/ (- (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)))))

simplify99.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
08552533
136882254
250012253

prune724.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
2.2b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
196×times-frac
183×add-sqr-sqrt
136×associate-*r*
129×*-un-lft-identity
112×unpow-prod-down
87×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
28×distribute-lft-out--
23×pow1
20×prod-exp
19×div-exp
17×log-pow
16×add-cbrt-cube
14×difference-of-squares
12×pow-to-exp pow-exp
6×associate-*l* associate-/r* associate-/l*
5×add-log-exp
4×cbrt-unprod
3×cbrt-undiv log-prod div-inv
2×flip3-- associate-*r/ pow-prod-down associate-/r/ *-commutative flip-- associate-/l/
1×exp-prod exp-to-pow frac-2neg div-sub rem-log-exp clear-num
Counts
4 → 299
Calls
4 calls:
28.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
41.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
1.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
51.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
117.0ms
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (+ (* 1.0 x) (log 1.0)) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
55.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
311 → 311
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08323433
139132963
250012932

prune876.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02562
12562

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3399×body1280valid
1.0s2534×body640valid
251.0ms1260×body320valid
95.0ms8000×pre80true
66.0ms591×body160valid
10.0ms216×body80valid