Details

Time bar (total: 8.6s)

sample169.0ms

Algorithm
intervals
Results
111.0ms120×body1280valid
32.0ms72×body640valid
8.0ms35×body320valid
5.0ms256×pre80true
2.0ms17×body160valid
1.0ms12×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: 60.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.2b
(log (+ 1.0 x))
5.2b
(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))

series202.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
43.0ms
(log (+ 1.0 x))
42.0ms
(log (- 1.0 x))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0452686
11669638
25001623

prune218.0ms

Filtered
84 candidates to 61 candidates (72.6%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New731184
Fresh000
Picked101
Done000
Total741185

Merged error: 57.8b

Counts
85 → 11

localize14.0ms

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))))))
5.2b
(log (- 1.0 x))

rewrite42.0ms

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))

series225.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
134.0ms
(/ (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))

simplify98.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09281453
138371286
250011286

prune396.0ms

Filtered
174 candidates to 116 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1731174
Fresh5510
Picked101
Done000
Total1796185

Merged error: 0.1b

Counts
185 → 6

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))))))

rewrite65.0ms

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:
22.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
19.0ms
(* 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))))))

series220.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
50.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
120.0ms
(/ (- (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))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07532567
136362134
250022133

prune648.0ms

Filtered
277 candidates to 173 candidates (62.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2752277
Fresh145
Picked011
Done000
Total2767283

Merged error: 0.1b

Counts
283 → 7

localize16.0ms

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
(/ (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (fma x 1.0 (- (log 1.0) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
3.3b
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
160×add-sqr-sqrt
136×associate-*r*
112×unpow-prod-down
96×*-un-lft-identity
84×add-cube-cbrt
52×add-exp-log
48×unpow2 sqr-pow
34×unswap-sqr
20×prod-exp
19×div-exp
16×add-cbrt-cube
13×pow1
12×pow-to-exp pow-exp
8×distribute-lft-out--
7×log-pow
6×associate-*l* associate-/l*
5×add-log-exp
4×expm1-log1p-u cbrt-unprod log1p-expm1-u difference-of-squares
3×cbrt-undiv log-prod associate-/r* div-inv
2×associate-*r/ pow-prod-down *-commutative associate-/l/
1×exp-prod flip3-- exp-to-pow frac-2neg div-sub rem-log-exp clear-num flip--
Counts
4 → 284
Calls
4 calls:
20.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
20.0ms
(* 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))))) (fma x 1.0 (- (log 1.0) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
2.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series275.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
47.0ms
(* 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) (log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2))))))))
52.0ms
(log (exp (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify92.0ms

Algorithm
egg-herbie
Counts
296 → 296
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07732674
132202351
250012346

prune798.0ms

Filtered
296 candidates to 188 candidates (63.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2951296
Fresh055
Picked101
Done011
Total2967303

Merged error: 0.1b

Counts
303 → 7

regimes62.0ms

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

sample4.8s

Algorithm
intervals
Results
3.1s3430×body1280valid
1.1s2543×body640valid
267.0ms1200×body320valid
135.0ms8000×pre80true
76.0ms596×body160valid
13.0ms231×body80valid