Details

Time bar (total: 8.7s)

sample146.0ms

Algorithm
intervals
Results
88.0ms101×body1280valid
32.0ms80×body640valid
9.0ms47×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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.3b
(log (- 1.0 x))
6.3b
(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)))
2.0ms
(log (- 1.0 x))
2.0ms
(log (+ 1.0 x))

series209.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
45.0ms
(log (- 1.0 x))
43.0ms
(log (+ 1.0 x))

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0425668
11561624
25001599

prune203.0ms

Filtered
78 candidates to 55 candidates (70.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 58.7b

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)))))
6.3b
(log (- 1.0 x))

rewrite63.0ms

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:
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
27.0ms
(/ (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))

series234.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
133.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
46.0ms
(log (- 1.0 x))

simplify106.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09951550
142131389
250011389

prune484.0ms

Filtered
172 candidates to 114 candidates (66.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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)))))

rewrite108.0ms

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

series235.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
125.0ms
(/ (- (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)))))

simplify100.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08552669
141522250
250012250

prune741.0ms

Filtered
275 candidates to 171 candidates (62.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(* (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.0b
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
27.5b
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt times-frac
76×associate-*r*
56×unpow-prod-down
49×*-un-lft-identity
46×add-cube-cbrt
36×add-exp-log
24×unpow2 sqr-pow
22×flip3-+ flip-+
20×frac-times
19×associate-*r/ unswap-sqr
18×add-cbrt-cube
16×pow1
14×associate-/r/
13×prod-exp
12×frac-sub
11×div-exp
10×associate-*l/
9×associate-*l*
7×flip3-- flip--
6×pow-to-exp pow-exp
5×cbrt-unprod
4×associate-/l* add-log-exp
3×cbrt-undiv swap-sqr pow-prod-down *-commutative
2×distribute-rgt-in distribute-lft-in div-inv associate-/l/ distribute-lft-out difference-of-squares
1×pow2 frac-2neg pow-plus div-sub clear-num associate-/r* pow-sqr log-pow pow-prod-up
Counts
4 → 221
Calls
4 calls:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
83.0ms
(* (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
14.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
39.0ms
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series441.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
129.0ms
(* (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
50.0ms
(* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
206.0ms
(/ (- (* (log 1.0) (log 1.0)) (* (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) (+ (* 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)))) (+ (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify69.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013474251
150013908

prune753.0ms

Filtered
233 candidates to 157 candidates (67.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes72.0ms

Accuracy

0% (0.5b 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
01917
11917

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.9s3333×body1280valid
1.0s2508×body640valid
248.0ms1273×body320valid
105.0ms8000×pre80true
74.0ms663×body160valid
10.0ms223×body80valid