Details

Time bar (total: 7.0s)

sample154.0ms

Algorithm
intervals
Results
100.0ms116×body1280valid
29.0ms75×body640valid
8.0ms42×body320valid
4.0ms256×pre80true
2.0ms17×body160valid
0.0ms6×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.6b
(log (+ 1.0 x))
5.7b
(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:
6.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
3.0ms
(log (+ 1.0 x))
4.0ms
(log (- 1.0 x))

series214.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
45.0ms
(log (+ 1.0 x))
43.0ms
(log (- 1.0 x))

simplify50.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0452686
11669638
25001623

prune222.0ms

Filtered
84 candidates to 61 candidates (72.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh000
Picked101
Done000
Total81485

Merged error: 59.8b

Counts
85 → 4

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
5.7b
(log (- 1.0 x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
12×add-cube-cbrt times-frac
7×pow1
5×add-exp-log log-prod log-pow
4×log-div add-cbrt-cube associate-/l*
3×associate-/r*
2×expm1-log1p-u flip3-- div-sub flip-- log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
6.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
4.0ms
(log (- 1.0 x))

series188.0ms

Counts
2 → 6
Calls
2 calls:
145.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
43.0ms
(log (- 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0421805
11495750
25001742

prune213.0ms

Filtered
59 candidates to 46 candidates (78.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New58159
Fresh123
Picked101
Done000
Total60363

Merged error: 0.0b

Counts
63 → 3

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (log 1.0) (fma 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))))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
20×add-sqr-sqrt
18×times-frac
12×add-cube-cbrt
8×distribute-lft-out--
6×associate-/l*
5×pow1
4×log-pow difference-of-squares
3×add-exp-log associate-/r* add-cbrt-cube
2×associate-/l/
1×cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-sub div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 44
Calls
1 calls:
7.0ms
(/ (- (log 1.0) (fma 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))))))

series126.0ms

Counts
1 → 3
Calls
1 calls:
126.0ms
(/ (- (log 1.0) (fma 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))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
02241075
17661012
238411011
350011009

prune138.0ms

Filtered
47 candidates to 33 candidates (70.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New47047
Fresh022
Picked011
Done000
Total47350

Merged error: 0.0b

Counts
50 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(log (- (pow 1.0 3) (pow x 3)))
5.6b
(log (+ 1.0 x))
5.6b
(log (+ 1.0 x))
5.6b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
32×add-sqr-sqrt
22×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
8×pow1 add-exp-log add-cube-cbrt log-div sqr-pow
5×distribute-lft-out--
4×expm1-log1p-u rem-log-exp log-pow add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-+ flip-+
2×distribute-lft-out
1×difference-cubes flip3-- flip--
Counts
4 → 88
Calls
4 calls:
21.0ms
(log (- (pow 1.0 3) (pow x 3)))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))
6.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series399.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(log (- (pow 1.0 3) (pow x 3)))
45.0ms
(log (+ 1.0 x))
45.0ms
(log (+ 1.0 x))
57.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0442758
11580695
25001686

prune348.0ms

Filtered
100 candidates to 75 candidates (75.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New991100
Fresh011
Picked101
Done011
Total1003103

Merged error: 0b

Counts
103 → 3

regimes21.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

sample4.6s

Algorithm
intervals
Results
3.0s3467×body1280valid
990.0ms2448×body640valid
243.0ms1195×body320valid
99.0ms8000×pre80true
76.0ms662×body160valid
11.0ms228×body80valid