Details

Time bar (total: 6.2s)

sample107.0ms

Algorithm
intervals
Results
61.0ms128×body1280valid
19.0ms78×body640valid
7.0ms259×body80nan
3.0ms23×body320valid
2.0ms23×body160valid
0.0ms4×body80valid

simplify14.0ms

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: 58.8b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:
23.0ms
(/ (+ 1.0 x) (- 1.0 x))
10.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (+ 1.0 x) (- 1.0 x))
119.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune185.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
38.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0528707
12647524
25001523

prune270.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 x)) (log (- 1.0 x)))
5.9b
(log (+ 1.0 x))
6.0b
(log (- 1.0 x))

rewrite26.0ms

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:
15.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
4.0ms
(log (+ 1.0 x))
5.0ms
(log (- 1.0 x))

series325.0ms

Counts
3 → 9
Calls
3 calls:
244.0ms
(- (log (+ 1.0 x)) (log (- 1.0 x)))
38.0ms
(log (+ 1.0 x))
43.0ms
(log (- 1.0 x))

simplify78.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0302431
1776410
22776393
35001393

prune142.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
201×associate-*r*
173×add-sqr-sqrt
128×unpow-prod-down
108×add-cube-cbrt *-un-lft-identity
80×cube-prod
52×sqr-pow
50×add-exp-log
27×unswap-sqr
24×cube-mult unpow3
20×prod-exp
18×div-exp
14×add-cbrt-cube
12×pow-to-exp pow-exp
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ sum-log cbrt-unprod
3×flip3-+ flip-+
2×cbrt-undiv +-commutative pow-prod-down frac-add *-commutative div-inv
1×associate-+r+
Counts
4 → 304
Calls
4 calls:
8.0ms
(+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5))))
31.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
33.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
60.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series462.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5))))
91.0ms
(+ (* 2/3 (/ (pow x 3) (pow 1.0 3))) (+ (* 2.0 x) (* 2/5 (/ (pow x 5) (pow 1.0 5)))))
98.0ms
(* 2/5 (/ (pow x 5) (pow 1.0 5)))
67.0ms
(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify60.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012421990
150011801

prune970.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes19.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02613
12613

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s3413×body1280valid
609.0ms2513×body640valid
219.0ms7844×body80nan
181.0ms1245×body320valid
56.0ms614×body160valid
9.0ms215×body80valid