Details

Time bar (total: 9.4s)

sample180.0ms

Algorithm
intervals
Results
116.0ms115×body1280valid
38.0ms81×body640valid
8.0ms31×body320valid
5.0ms256×pre80true
3.0ms22×body160valid
0.0ms7×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: 61.6b

localize6.0ms

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))

rewrite15.0ms

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)))
3.0ms
(log (- 1.0 x))
2.0ms
(log (+ 1.0 x))

series217.0ms

Counts
3 → 9
Calls
3 calls:
130.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
46.0ms
(log (- 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0452686
11669638
25002623

prune209.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 59.2b

localize13.0ms

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

rewrite48.0ms

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-/l*
3×expm1-log1p-u associate-*l* associate-/r* log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- div-sub flip-- cbrt-unprod div-inv
1×frac-2neg associate-*r/ rem-log-exp pow-prod-down clear-num *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 165
Calls
3 calls:
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
7.0ms
(/ (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))

series230.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
139.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
41.0ms
(log (- 1.0 x))

simplify95.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09281522
143121284
250011284

prune491.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

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

rewrite98.0ms

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×log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv expm1-log1p-u associate-/r* log1p-expm1-u div-inv add-log-exp
2×associate-*r/ pow-prod-down *-commutative associate-/l/
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
3 → 268
Calls
3 calls:
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
29.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
25.0ms
(/ (- (log 1.0) (+ (* 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))))))

series228.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
54.0ms
(* 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))))) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify98.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07532429
131742138
250012135

prune781.0ms

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
(/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.2b
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
165×add-sqr-sqrt
149×associate-*r*
112×unpow-prod-down
92×*-un-lft-identity
88×add-cube-cbrt
63×add-exp-log
48×unpow2 sqr-pow
37×unswap-sqr
24×prod-exp
22×div-exp
21×add-cbrt-cube
12×pow1 pow-to-exp associate-*l* pow-exp
6×cbrt-unprod
4×cbrt-undiv expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×associate-*r/ pow-prod-down associate-/r* *-commutative associate-/l*
2×frac-times rec-exp flip3-- 1-exp associate-*l/ flip-- distribute-lft-out--
1×pow-flip frac-2neg clear-num log-pow un-div-inv inv-pow difference-of-squares
Counts
4 → 302
Calls
4 calls:
29.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
27.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
2.0ms
(/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
32.0ms
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

series327.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
94.0ms
(/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
129.0ms
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))))

simplify111.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
09142895
147182361
250012358

prune883.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11816

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.2s3389×body1280valid
1.2s2527×body640valid
311.0ms1251×body320valid
136.0ms8000×pre80true
90.0ms624×body160valid
12.0ms209×body80valid