Details

Time bar (total: 8.0s)

sample160.0ms

Algorithm
intervals
Results
98.0ms104×body1280valid
37.0ms93×body640valid
7.0ms31×body320valid
4.0ms256×pre80true
2.0ms19×body160valid
0.0ms9×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0105
1115
2115

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.0b

Counts
2 → 1

localize18.0ms

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))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×log-div
2×flip3-- div-sub flip--
1×frac-2neg flip3-+ clear-num flip-+ div-inv
Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (- 1.0 x))

series227.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
47.0ms
(log (+ 1.0 x))
53.0ms
(log (- 1.0 x))

simplify33.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0324249
11243245
25002223

prune82.0ms

Filtered
18 candidates to 18 candidates (100.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14418
Fresh000
Picked011
Done000
Total14519

Merged error: 58.6b

Counts
19 → 5

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×associate-*r/
18×associate-/r/
16×frac-sub
10×unpow2 sqr-pow
8×flip3-+ flip-+
7×clear-num
6×associate-/r* associate-/l*
5×associate-*r*
4×log-div frac-2neg times-frac
3×flip3-- un-div-inv flip--
2×div-sub div-inv
1×*-commutative
Counts
3 → 39
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(/ (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))

series254.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
148.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
47.0ms
(log (- 1.0 x))

simplify63.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0570657
12165655
25001655

prune194.0ms

Filtered
48 candidates to 43 candidates (89.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New47148
Fresh123
Picked101
Done011
Total49453

Merged error: 0.0b

Counts
53 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×associate-*r/
18×associate-/r/
16×frac-sub unpow2 sqr-pow
10×associate-*r*
9×flip3-+ clear-num flip-+
8×times-frac associate-/r* associate-/l*
5×frac-2neg
4×un-div-inv
3×div-sub div-inv
2×+-commutative flip3-- *-commutative flip-- associate-/l/ associate--r+
Counts
4 → 57
Calls
4 calls:
6.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
11.0ms
(/ (- (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)))))

series546.0ms

Counts
4 → 12
Calls
4 calls:
302.0ms
(+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
58.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
133.0ms
(/ (- (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)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0482796
11804795
25001795

prune254.0ms

Filtered
69 candidates to 58 candidates (84.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh022
Picked101
Done101
Total67673

Merged error: 0b

Counts
73 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(- (/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
29.1b
(/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
162×frac-sub
109×associate-*r/
86×associate-/l/
80×associate-/r/
72×associate-/l*
63×clear-num
58×unpow2 sqr-pow
42×frac-2neg
36×flip3-+ flip-+
35×associate-*r*
30×associate-/r*
28×times-frac
24×flip3-- flip--
23×distribute-rgt-out--
19×un-div-inv
11×div-inv
7×*-commutative
2×div-sub sub-div
1×associate--l- sub-neg
Counts
4 → 194
Calls
4 calls:
5.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
10.0ms
(/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
43.0ms
(- (/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
13.0ms
(/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series584.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
121.0ms
(/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
262.0ms
(- (/ (- (log 1.0) (* 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
148.0ms
(/ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify105.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
019417470
150027362

prune681.0ms

Filtered
206 candidates to 150 candidates (72.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2033206
Fresh325
Picked101
Done000
Total2075212

Merged error: 0b

Counts
212 → 5

regimes32.0ms

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
02628
12628

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3334×body1280valid
1.0s2560×body640valid
252.0ms1236×body320valid
101.0ms8000×pre80true
78.0ms656×body160valid
10.0ms214×body80valid