Details

Time bar (total: 8.5s)

sample173.0ms

Algorithm
intervals
Results
99.0ms102×body1280valid
45.0ms87×body640valid
10.0ms37×body320valid
5.0ms256×pre80true
3.0ms24×body160valid
0.0ms6×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 62.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
7.6b
(log (- 1.0 x))
7.6b
(log (+ 1.0 x))

rewrite19.0ms

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:
10.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (- 1.0 x))
3.0ms
(log (+ 1.0 x))

series242.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
48.0ms
(log (- 1.0 x))
66.0ms
(log (+ 1.0 x))

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0452686
11669638
25002623

prune179.0ms

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: 59.6b

Counts
85 → 4

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))))))
7.6b
(log (- 1.0 x))

rewrite50.0ms

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:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
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))

series243.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
144.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
50.0ms
(log (- 1.0 x))

simplify93.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09281522
143121284
250011284

prune420.0ms

Filtered
174 candidates to 116 candidates (66.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1731174
Fresh033
Picked101
Done000
Total1744178

Merged error: 0.0b

Counts
178 → 4

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

rewrite69.0ms

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:
25.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
21.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
9.0ms
(/ (- (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))))))

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

simplify90.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07532429
131742138
250012135

prune651.0ms

Filtered
277 candidates to 173 candidates (62.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2770277
Fresh033
Picked011
Done000
Total2774281

Merged error: 0.0b

Counts
281 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
2.6b
(log (- (* 1.0 1.0) (* x x)))
7.6b
(log (- 1.0 x))
7.6b
(log (- 1.0 x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
36×pow1
35×add-sqr-sqrt
32×times-frac log-pow
22×distribute-lft-out--
21×add-cube-cbrt
14×log-prod
9×add-exp-log
8×log-div associate-/r* difference-of-squares
6×add-cbrt-cube
5×flip3-- flip--
4×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
3×rem-log-exp
2×div-sub associate-/r/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 115
Calls
4 calls:
9.0ms
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
4.0ms
(log (- (* 1.0 1.0) (* x x)))
4.0ms
(log (- 1.0 x))
4.0ms
(log (- 1.0 x))

series446.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(/ (log (- 1.0 x)) (- (log (- (* 1.0 1.0) (* x x))) (log (- 1.0 x))))
115.0ms
(log (- (* 1.0 1.0) (* x x)))
41.0ms
(log (- 1.0 x))
49.0ms
(log (- 1.0 x))

simplify65.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06271451
124351388
250011384

prune253.0ms

Filtered
127 candidates to 86 candidates (67.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh022
Picked101
Done011
Total1274131

Merged error: 0.0b

Counts
131 → 4

regimes58.0ms

Accuracy

0% (0.4b 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
01816
11816

end0.0ms

sample5.1s

Algorithm
intervals
Results
3.2s3395×body1280valid
1.1s2462×body640valid
302.0ms1233×body320valid
134.0ms8000×pre80true
98.0ms668×body160valid
14.0ms242×body80valid