Details

Time bar (total: 7.9s)

sample159.0ms

Algorithm
intervals
Results
108.0ms124×body1280valid
28.0ms64×body640valid
7.0ms39×body320valid
3.0ms256×pre80true
2.0ms19×body160valid
0.0ms10×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 61.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.5b
(log (- 1.0 x))
5.8b
(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))

series216.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
41.0ms
(log (- 1.0 x))
46.0ms
(log (+ 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0452686
11669638
25002623

prune220.0ms

Filtered
84 candidates to 61 candidates (72.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 58.4b

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))))))
5.5b
(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:
30.0ms
(* 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))

series237.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
141.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
42.0ms
(log (- 1.0 x))

simplify89.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09281453
138371286
250011286

prune497.0ms

Filtered
174 candidates to 116 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

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)))
26.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
28.0ms
(/ (- (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))))))

series227.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
54.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
124.0ms
(/ (- (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))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07532429
131742138
250012135

prune784.0ms

Filtered
277 candidates to 173 candidates (62.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
2.7b
(log (- (* 1.0 1.0) (* x x)))
5.8b
(log (+ 1.0 x))
5.8b
(log (+ 1.0 x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
20×pow1 add-sqr-sqrt log-prod
18×add-cube-cbrt
16×prod-diff log-pow
10×log-div
7×add-exp-log
4×expm1-log1p-u fma-neg associate--l+ add-cbrt-cube log1p-expm1-u associate--r+ distribute-lft-out-- add-log-exp
3×flip3-- flip3-+ rem-log-exp flip-- flip-+ distribute-lft-out difference-of-squares
2×associate--l- associate--r-
1×sub-neg diff-log
Counts
4 → 102
Calls
4 calls:
9.0ms
(- (log (- (* 1.0 1.0) (* x 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))

series309.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(- (log (- (* 1.0 1.0) (* x x))) (log (+ 1.0 x)))
107.0ms
(log (- (* 1.0 1.0) (* x x)))
45.0ms
(log (+ 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify47.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04211098
11428884
25001865

prune233.0ms

Filtered
114 candidates to 80 candidates (70.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes27.0ms

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

sample4.5s

Algorithm
intervals
Results
2.9s3410×body1280valid
972.0ms2463×body640valid
249.0ms1263×body320valid
100.0ms8000×pre80true
68.0ms623×body160valid
11.0ms241×body80valid