Details

Time bar (total: 6.7s)

sample157.0ms

Algorithm
intervals
Results
105.0ms120×body1280valid
29.0ms74×body640valid
7.0ms34×body320valid
4.0ms256×pre80true
2.0ms21×body160valid
0.0ms7×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.9b
(log (+ 1.0 x))
5.9b
(log (- 1.0 x))

rewrite16.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 75
Calls
3 calls:
8.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series210.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
40.0ms
(log (+ 1.0 x))
45.0ms
(log (- 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0452686
11669638
25001623

prune215.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 57.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.9b
(log (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
8.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
3.0ms
(log (- 1.0 x))

series180.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
45.0ms
(log (- 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0421805
11495750
25001742

prune196.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 44
Calls
1 calls:
14.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series120.0ms

Counts
1 → 3
Calls
1 calls:
120.0ms
(/ (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify110.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
02241075
17661012
238411011
350011009

prune137.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
126×*-un-lft-identity
110×add-sqr-sqrt
78×add-cube-cbrt
32×distribute-lft-out--
30×associate-/r*
19×pow1
16×log-pow difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
2 → 165
Calls
2 calls:
12.0ms
(/ 1 (/ (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
7.0ms
(/ (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series244.0ms

Counts
2 → 6
Calls
2 calls:
121.0ms
(/ 1 (/ (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))
123.0ms
(/ (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (- (log 1.0) (fma 1.0 x (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05224406
124414127
250023995

prune320.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02017
12017

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3438×body1280valid
956.0ms2413×body640valid
247.0ms1264×body320valid
105.0ms8000×pre80true
73.0ms662×body160valid
10.0ms223×body80valid