Details

Time bar (total: 8.9s)

sample154.0ms

Algorithm
intervals
Results
98.0ms111×body1280valid
33.0ms84×body640valid
7.0ms38×body320valid
3.0ms256×pre80true
2.0ms16×body160valid
0.0ms7×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: 61.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.5b
(log (+ 1.0 x))
4.5b
(log (- 1.0 x))

rewrite30.0ms

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×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 → 69
Calls
3 calls:
19.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series196.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(/ (log (- 1.0 x)) (log (+ 1.0 x)))
42.0ms
(log (+ 1.0 x))
38.0ms
(log (- 1.0 x))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0425668
11561624
25001599

prune190.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 58.9b

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)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
4.5b
(log (- 1.0 x))

rewrite104.0ms

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-/r/ associate-/l*
3×flip3-- associate-*r/ associate-*l* associate-/r* flip-- add-log-exp
2×cbrt-undiv div-sub frac-sub cbrt-unprod div-inv
1×frac-2neg flip3-+ rem-log-exp pow-prod-down clear-num *-commutative flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 163
Calls
3 calls:
35.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
57.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
5.0ms
(log (- 1.0 x))

series215.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
129.0ms
(/ (log (- 1.0 x)) (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
40.0ms
(log (- 1.0 x))

simplify109.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09951550
142131389
250011389

prune467.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

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

rewrite387.0ms

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×associate-*r/ associate-/r/ log-pow cbrt-unprod difference-of-squares
3×cbrt-undiv associate-/r* div-inv add-log-exp
2×flip3-- pow-prod-down *-commutative frac-sub flip-- associate-/l/
1×frac-2neg flip3-+ div-sub clear-num flip-+
Counts
3 → 266
Calls
3 calls:
35.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
37.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
301.0ms
(/ (- (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)))))

series208.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
46.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
114.0ms
(/ (- (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)))))

simplify101.0ms

Algorithm
egg-herbie
Counts
275 → 275
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08552673
141602250
250022250

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

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
(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
0.2b
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

rewrite288.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
165×add-sqr-sqrt
153×associate-*r*
112×unpow-prod-down
92×*-un-lft-identity
88×add-cube-cbrt
63×add-exp-log
48×unpow2 sqr-pow
37×unswap-sqr
24×prod-exp
22×div-exp
21×add-cbrt-cube
12×pow1 pow-to-exp associate-*l* pow-exp
8×associate-/r/
7×associate-*r/
6×cbrt-unprod
4×cbrt-undiv flip3-- frac-sub flip-- div-inv add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×frac-times rec-exp flip3-+ 1-exp associate-*l/ flip-+ distribute-lft-out--
1×pow-flip frac-2neg clear-num log-pow un-div-inv inv-pow difference-of-squares
Counts
4 → 302
Calls
4 calls:
35.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
34.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
48.0ms
(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
155.0ms
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

series299.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
52.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
85.0ms
(/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))
109.0ms
(* (- (log 1.0) (+ (* 1.0 x) (* 1/2 (/ (pow x 2) (pow 1.0 2))))) (/ 1 (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))))

simplify123.0ms

Algorithm
egg-herbie
Counts
314 → 314
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09982938
148472557
250012557

prune827.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes45.0ms

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
01917
11917

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.8s3410×body1280valid
958.0ms2485×body640valid
236.0ms1254×body320valid
92.0ms8000×pre80true
70.0ms630×body160valid
10.0ms221×body80valid