Details

Time bar (total: 7.2s)

sample119.0ms

Algorithm
intervals
Results
52.0ms98×body1280valid
28.0ms86×body640valid
15.0ms282×body80nan
8.0ms40×body320valid
3.0ms21×body160valid
1.0ms11×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.8b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
6.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (+ 1.0 x) (- 1.0 x))
121.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune201.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
15.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
28.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series360.0ms

Counts
2 → 6
Calls
2 calls:
306.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
55.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify98.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07991100
13634972
25002968

prune352.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b
(log (- 1.0 x))
5.9b
(log (+ 1.0 x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
18×log-prod
13×add-sqr-sqrt
9×pow1
8×log-div
7×add-cube-cbrt
6×log-pow distribute-lft-out--
5×add-exp-log associate--r+
4×associate--l+
3×flip3-- add-cbrt-cube flip-- add-log-exp difference-of-squares
2×associate--l- flip3-+ rem-log-exp flip-+ distribute-lft-out associate--r-
1×sub-neg diff-log
Counts
3 → 61
Calls
3 calls:
8.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
2.0ms
(log (- 1.0 x))
5.0ms
(log (+ 1.0 x))

series348.0ms

Counts
3 → 9
Calls
3 calls:
260.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
47.0ms
(log (- 1.0 x))
41.0ms
(log (+ 1.0 x))

simplify74.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0302431
1776410
22776393
35001393

prune158.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
0.1b
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
172×add-sqr-sqrt
128×unpow-prod-down
107×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
49×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
13×add-cbrt-cube
12×pow-to-exp pow-exp
8×add-log-exp
7×pow1
6×associate-*l*
4×associate-*r/ cbrt-unprod
3×sum-log
2×cbrt-undiv flip3-+ pow-prod-down frac-add *-commutative flip-+ div-inv
1×+-commutative associate-+r+
Counts
3 → 293
Calls
3 calls:
18.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
24.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
54.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series293.0ms

Counts
3 → 9
Calls
3 calls:
104.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
109.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
80.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify52.0ms

Algorithm
egg-herbie
Counts
302 → 302
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
012321872
150011683

prune937.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes23.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.8s3330×body1280valid
817.0ms2470×body640valid
441.0ms8006×body80nan
277.0ms1293×body320valid
100.0ms683×body160valid
19.0ms224×body80valid