Details

Time bar (total: 8.7s)

sample157.0ms

Algorithm
intervals
Results
103.0ms122×body1280valid
29.0ms72×body640valid
8.0ms39×body320valid
3.0ms256×pre80true
2.0ms20×body160valid
0.0ms3×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1115
2115

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.3b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
5.2b
(log (- 1.0 x))
5.3b
(log (+ 1.0 x))

rewrite33.0ms

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:
20.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
6.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series201.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
44.0ms
(log (- 1.0 x))
40.0ms
(log (+ 1.0 x))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0452686
11669638
25002623

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 60.0b

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))

rewrite70.0ms

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:
38.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
19.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
6.0ms
(log (- 1.0 x))

series224.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
127.0ms
(/ (log (- 1.0 x)) (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
44.0ms
(log (- 1.0 x))

simplify93.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09281453
138371286
250011286

prune482.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))))))

rewrite150.0ms

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:
40.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
38.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
58.0ms
(/ (- (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))))))

series225.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
53.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
119.0ms
(/ (- (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))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
277 → 277
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07532429
131742138
250012135

prune746.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
17×*-un-lft-identity
14×add-sqr-sqrt
8×add-cube-cbrt
7×pow1
6×cbrt-div distribute-lft-out--
4×add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- log-pow flip-- difference-of-squares
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
13.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series854.0ms

Counts
4 → 12
Calls
4 calls:
214.0ms
(cbrt (fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
221.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
208.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))
211.0ms
(cbrt (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify135.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03621581
112041487
249301394
350011394

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.4b 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
01816
11816

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.9s3388×body1280valid
1000.0ms2545×body640valid
241.0ms1230×body320valid
98.0ms8000×pre80true
70.0ms642×body160valid
9.0ms195×body80valid