Details

Time bar (total: 6.1s)

sample97.0ms

Algorithm
intervals
Results
54.0ms123×body1280valid
17.0ms71×body640valid
8.0ms270×body80nan
5.0ms38×body320valid
1.0ms13×body160valid
0.0ms11×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.2b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite23.0ms

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:
10.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series154.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
123.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify125.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune195.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite36.0ms

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:
29.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0528643
12205526
25001525

prune284.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 1.0 x))
0.0b
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
0.0b
(/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
4.2b
(log (/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x)))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
1134×times-frac
1018×*-un-lft-identity
689×add-sqr-sqrt
660×sqrt-prod
462×add-cube-cbrt
292×log-prod
165×distribute-lft-out
113×distribute-lft-out-- difference-of-squares
48×associate-/r*
36×sqrt-div
34×associate-/r/
18×flip3-+ flip-+ div-inv
17×add-exp-log
12×associate-/l*
11×add-cbrt-cube
7×div-exp
6×pow1
4×cbrt-undiv associate-/l/ add-log-exp
3×rem-log-exp
2×frac-2neg clear-num
1×rem-sqrt-square log-div flip3-- sqrt-pow1 pow1/2 div-sub log-pow flip--
Counts
4 → 736
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 x))
11.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
25.0ms
(/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
28.0ms
(log (/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x)))))

series297.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(sqrt (+ 1.0 x))
93.0ms
(/ (- 1.0 x) (sqrt (+ 1.0 x)))
32.0ms
(/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x))))
134.0ms
(log (/ (sqrt (+ 1.0 x)) (/ (- 1.0 x) (sqrt (+ 1.0 x)))))

simplify132.0ms

Algorithm
egg-herbie
Counts
748 → 748
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
0146412244
1500110952

prune885.0ms

Filtered
748 candidates to 262 candidates (35.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- 1.0 x)) (log (sqrt (+ 1.0 x))))
3.8b
(log (sqrt (+ 1.0 x)))
3.8b
(log (sqrt (+ 1.0 x)))
4.3b
(log (- 1.0 x))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
31×log-prod
26×*-un-lft-identity
18×add-sqr-sqrt
13×pow1
12×add-cube-cbrt sqrt-prod
11×log-pow
10×log-div
7×add-exp-log associate--r+
6×sqrt-div distribute-lft-out--
5×associate--l+
4×add-cbrt-cube add-log-exp
3×flip3-- flip3-+ rem-log-exp flip-- flip-+ distribute-lft-out difference-of-squares
2×associate--l- sqrt-pow1 pow1/2 associate--r-
1×sub-neg diff-log
Counts
4 → 89
Calls
4 calls:
9.0ms
(- (log (- 1.0 x)) (log (sqrt (+ 1.0 x))))
3.0ms
(log (sqrt (+ 1.0 x)))
3.0ms
(log (sqrt (+ 1.0 x)))
3.0ms
(log (- 1.0 x))

series369.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(- (log (- 1.0 x)) (log (sqrt (+ 1.0 x))))
82.0ms
(log (sqrt (+ 1.0 x)))
84.0ms
(log (sqrt (+ 1.0 x)))
42.0ms
(log (- 1.0 x))

simplify95.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0346707
1914671
23300647
35001633

prune240.0ms

Filtered
101 candidates to 72 candidates (71.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

regimes35.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3387×body1280valid
602.0ms2474×body640valid
226.0ms8057×body80nan
188.0ms1293×body320valid
55.0ms619×body160valid
9.0ms227×body80valid