Details

Time bar (total: 8.9s)

sample139.0ms

Algorithm
intervals
Results
80.0ms92×body1280valid
34.0ms87×body640valid
8.0ms41×body320valid
4.0ms256×pre80true
3.0ms28×body160valid
0.0ms8×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.1b
(log (+ 1.0 x))
7.4b
(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:
8.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
2.0ms
(log (+ 1.0 x))
2.0ms
(log (- 1.0 x))

series209.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
40.0ms
(log (+ 1.0 x))
46.0ms
(log (- 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0425668
11561624
25001599

prune208.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 57.9b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x))) (log (+ 1.0 x)))
3.6b
(log (- (* 1.0 1.0) (* x x)))
7.1b
(log (+ 1.0 x))
7.1b
(log (+ 1.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
36×pow1
32×times-frac log-pow
31×add-sqr-sqrt
21×add-cube-cbrt
20×distribute-lft-out--
12×log-prod
9×add-exp-log
8×associate-/l*
6×log-div add-cbrt-cube difference-of-squares
4×associate-/r* add-log-exp
3×rem-log-exp
2×flip3-- flip3-+ flip-- flip-+ associate-/l/ distribute-lft-out
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 104
Calls
4 calls:
14.0ms
(/ (- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x))) (log (+ 1.0 x)))
3.0ms
(log (- (* 1.0 1.0) (* x x)))
2.0ms
(log (+ 1.0 x))
2.0ms
(log (+ 1.0 x))

series435.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(/ (- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x))) (log (+ 1.0 x)))
107.0ms
(log (- (* 1.0 1.0) (* x x)))
40.0ms
(log (+ 1.0 x))
43.0ms
(log (+ 1.0 x))

simplify65.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06041427
124321326
250011320

prune243.0ms

Filtered
116 candidates to 76 candidates (65.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 57.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))
7.1b
(log (+ 1.0 x))
7.1b
(log (+ 1.0 x))
26.1b
(/ (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) (log (+ 1.0 x)))

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
60×distribute-lft-out--
47×pow1
43×log-pow
40×times-frac
36×add-sqr-sqrt
24×add-cube-cbrt
15×log-prod
10×associate-/l*
8×add-exp-log associate--l+ add-log-exp
6×log-div add-cbrt-cube difference-of-squares
5×diff-log
4×associate-/r* associate--r+
3×flip3-+ flip-+ distribute-lft-out
2×sub-neg flip3-- rem-log-exp flip-- associate-/l/ associate--r-
1×cbrt-undiv associate--l- frac-2neg div-sub div-exp clear-num sum-log div-inv
Counts
4 → 132
Calls
4 calls:
73.0ms
(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))
2.0ms
(log (+ 1.0 x))
2.0ms
(log (+ 1.0 x))
137.0ms
(/ (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) (log (+ 1.0 x)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))
40.0ms
(log (+ 1.0 x))
49.0ms
(log (+ 1.0 x))
225.0ms
(/ (- (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) (log (+ 1.0 x)))

simplify71.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05932345
123402213
250012206

prune414.0ms

Filtered
144 candidates to 84 candidates (58.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 56.9b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3))
0.1b
(pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3)
7.1b
(log (+ 1.0 x))
26.1b
(/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
56×*-un-lft-identity
36×times-frac
26×cbrt-prod
23×add-cube-cbrt
21×difference-of-squares
20×unpow-prod-down cube-prod
18×pow1
14×distribute-lft-out--
13×log-pow
8×add-exp-log difference-of-sqr-1
7×add-cbrt-cube
6×associate-/l*
4×cube-div log-prod associate-/r* add-log-exp
3×pow-unpow flip3-- flip--
2×cube-mult log-div cbrt-div unpow3 associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ pow1/3 div-sub div-exp rem-log-exp pow-exp clear-num rem-cbrt-cube flip-+ div-inv distribute-lft-out rem-cube-cbrt
Counts
4 → 140
Calls
4 calls:
79.0ms
(cbrt (pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3))
96.0ms
(pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3)
2.0ms
(log (+ 1.0 x))
28.0ms
(/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))

series979.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt (pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3))
543.0ms
(pow (- (/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x))) 1) 3)
41.0ms
(log (+ 1.0 x))
133.0ms
(/ (- (log 1.0) (+ (* 1.0 (pow x 2)) (* 1/2 (/ (pow x 4) (pow 1.0 2))))) (log (+ 1.0 x)))

simplify111.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09213301
141293154
250033146

prune453.0ms

Filtered
152 candidates to 82 candidates (53.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes80.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321
13321

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3409×body1280valid
983.0ms2456×body640valid
245.0ms1258×body320valid
98.0ms8000×pre80true
71.0ms642×body160valid
11.0ms235×body80valid