Details

Time bar (total: 6.6s)

sample97.0ms

Algorithm
intervals
Results
51.0ms105×body1280valid
21.0ms89×body640valid
7.0ms245×body80nan
5.0ms37×body320valid
2.0ms19×body160valid
0.0ms6×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: 58.9b

localize8.0ms

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)))

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)))

simplify114.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune179.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:
27.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(* 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

prune270.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
3.1b
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

rewrite36.0ms

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
5×pow1
3×log-prod associate-*l* log-pow add-log-exp
2×cbrt-unprod
1×cbrt-undiv exp-prod exp-to-pow associate-*r/ rem-log-exp pow-prod-down *-commutative div-inv
Counts
2 → 124
Calls
2 calls:
27.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
1.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

series103.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))
55.0ms
(log (exp (* 2.0 (/ (pow x 2) (pow 1.0 2)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0546743
12231610
25001609

prune525.0ms

Filtered
130 candidates to 80 candidates (61.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
0.0b
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
5.7b
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
5.7b
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
286×cbrt-prod
262×*-un-lft-identity
224×times-frac
194×add-sqr-sqrt
134×add-cube-cbrt
124×log-prod
34×distribute-lft-out
30×distribute-lft-out-- difference-of-squares
16×associate-/r*
14×add-exp-log associate-/l*
12×cbrt-div
8×associate-/r/
6×pow1
4×flip3-- div-exp rem-log-exp add-cbrt-cube flip-- div-inv associate-/l/ add-log-exp
2×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
4 → 320
Calls
4 calls:
12.0ms
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
13.0ms
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
8.0ms
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
8.0ms
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

series905.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
129.0ms
(/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x)))
322.0ms
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))
316.0ms
(log (/ (cbrt (+ 1.0 x)) (cbrt (- 1.0 x))))

simplify66.0ms

Algorithm
egg-herbie
Counts
332 → 332
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
04784006
114373928
250023886

prune933.0ms

Filtered
332 candidates to 246 candidates (74.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3487×body1280valid
597.0ms2455×body640valid
224.0ms8243×body80nan
180.0ms1244×body320valid
53.0ms608×body160valid
8.0ms206×body80valid