Details

Time bar (total: 6.0s)

sample98.0ms

Algorithm
intervals
Results
52.0ms109×body1280valid
18.0ms71×body640valid
8.0ms273×body80nan
5.0ms35×body320valid
3.0ms30×body160valid
0.0ms11×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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (+ 1.0 x) (- 1.0 x))
7.5b
(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))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series167.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (+ 1.0 x) (- 1.0 x))
137.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify113.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune192.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

8 alts after pruning (8 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)))

rewrite35.0ms

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:
28.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0528643
12205526
25001525

prune272.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
0.1b
(/ (+ 1.0 x) (- 1.0 x))
0.1b
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
49×add-sqr-sqrt
40×times-frac
31×add-cube-cbrt
26×log-prod
14×cbrt-prod
11×distribute-lft-out
10×pow1 add-exp-log
9×distribute-lft-out-- difference-of-squares
8×unpow-prod-down cube-prod
7×add-cbrt-cube
5×associate-/r* log-pow
4×associate-/r/ associate-/l* add-log-exp
3×pow-unpow
2×cube-mult flip3-- unpow3 div-exp rem-log-exp flip-- div-inv associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp log-div pow-pow frac-2neg flip3-+ pow1/3 pow-exp clear-num rem-cbrt-cube flip-+ rem-cube-cbrt
Counts
4 → 130
Calls
4 calls:
2.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
11.0ms
(/ (+ 1.0 x) (- 1.0 x))
2.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series442.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(pow (log (/ (+ 1.0 x) (- 1.0 x))) 3)
38.0ms
(/ (+ 1.0 x) (- 1.0 x))
120.0ms
(cbrt (pow (log (/ (+ 1.0 x) (- 1.0 x))) 3))
123.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04681082
118021026
250021013

prune274.0ms

Filtered
142 candidates to 83 candidates (58.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))
7.5b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
78×log-prod
60×times-frac
59×add-sqr-sqrt
35×add-cube-cbrt
15×distribute-lft-out
13×add-exp-log
12×distribute-lft-out-- difference-of-squares
8×pow1
6×rem-log-exp associate-/r/
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×log-div flip3-- div-exp flip-- div-inv
1×pow1/3
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series662.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(cbrt (log (/ (+ 1.0 x) (- 1.0 x))))
123.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
126.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))
125.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify141.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 3 (128.0ms)

IterNodesCost
03481228
110151158
243991100
350021098

prune346.0ms

Filtered
135 candidates to 89 candidates (65.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.1b

regimes128.0ms

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

sample2.9s

Algorithm
intervals
Results
1.5s3353×body1280valid
632.0ms2516×body640valid
226.0ms7953×body80nan
186.0ms1252×body320valid
60.0ms658×body160valid
9.0ms221×body80valid