Details

Time bar (total: 4.7s)

analyze630.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
6.2%93.7%0.1%5
6.2%90.5%3.2%6
21.9%67.1%11%7
23.4%64.8%11.8%8
32%52.7%15.3%9
33.2%51.3%15.5%10
37.7%45.2%17.2%11
38.3%44.4%17.2%12
40.6%41.3%18%13
41%41%18%14

sample52.0ms

Algorithm
intervals
Results
11.0ms38×body1280valid
11.0ms185×body80valid
6.0ms29×body1280nan
5.0ms21×body640valid
4.0ms23×body640nan
1.0ms8×body320nan
1.0ms6×body320valid
1.0ms9×body160nan
1.0ms6×body160valid
0.0ms9×body80nan

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0196
1296
2416
3606
4786
5946
61096
71396
82146
92796
102796

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))
2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
27×times-frac
16×add-cube-cbrt difference-of-squares
14×distribute-lft-out--
6×add-exp-log log-prod
5×associate-/r* add-cbrt-cube associate-/l* add-log-exp
4×pow1 flip3-- flip--
2×log-div div-sub associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num log-pow div-inv associate--r-
Counts
3 → 85
Calls
3 calls:
10.0ms
(/ (- x y) (- 1.0 y))
15.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series33.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ (- x y) (- 1.0 y))
11.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
15.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify48.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0404711
11152666
25001659

prune194.0ms

Filtered
69 candidates to 94 candidates (-36.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh000
Picked101
Done000
Total88795

Merged error: 0.2b

Counts
95 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 y))
0.1b
(* (- x y) (/ 1 (- 1.0 y)))
5.0b
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
5.5b
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
32×times-frac
25×add-cube-cbrt
21×associate-*r*
18×add-exp-log
11×add-cbrt-cube
8×pow1 distribute-lft-out-- difference-of-squares
6×flip3-- flip-- add-log-exp
5×associate-*l* associate-/r*
4×div-exp prod-exp associate-/r/
3×log-prod associate-/l* unswap-sqr
2×cbrt-undiv frac-times log-div rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ rem-log-exp pow-prod-down clear-num log-pow un-div-inv *-commutative inv-pow
Counts
4 → 117
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 y))
13.0ms
(* (- x y) (/ 1 (- 1.0 y)))
2.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 y))
6.0ms
(* (- x y) (/ 1 (- 1.0 y)))
15.0ms
(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
10.0ms
(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0487838
12073735
25001686

prune169.0ms

Filtered
81 candidates to 129 candidates (-59.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1290129
Fresh066
Picked011
Done000
Total1297136

Merged error: 0.2b

Counts
136 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
0.3b
(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
15×*-un-lft-identity
14×cbrt-prod
11×add-cube-cbrt
10×pow1
8×unpow-prod-down cube-prod
6×add-exp-log log-prod add-log-exp
5×log-pow add-cbrt-cube
4×difference-of-squares
3×pow-unpow
2×cube-mult log-div flip3-- times-frac unpow3 flip-- distribute-lft-out-- sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log div-sub rem-log-exp pow-exp rem-cbrt-cube associate--r- rem-cube-cbrt
Counts
4 → 81
Calls
4 calls:
2.0ms
(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
3.0ms
(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
13.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3))
65.0ms
(pow (log (- 1.0 (/ (- x y) (- 1.0 y)))) 3)
9.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
13.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07281086
128041014
25002999

prune302.0ms

Filtered
59 candidates to 93 candidates (-57.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh235
Picked101
Done011
Total946100

Merged error: 0.2b

Counts
100 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

2.1b
(- 1.0 (/ (- x y) (- 1.0 y)))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))
5.0b
(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×log-prod
15×*-un-lft-identity
8×difference-of-squares
7×pow1 add-exp-log add-cube-cbrt
6×log-div add-log-exp
4×flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
3×rem-log-exp log-pow
1×sub-neg diff-log div-sub associate--r-
Counts
4 → 67
Calls
4 calls:
18.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
16.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
16.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
17.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- 1.0 (/ (- x y) (- 1.0 y)))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))
14.0ms
(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0201754
1518676
22236661
35002661

prune235.0ms

Filtered
63 candidates to 79 candidates (-25.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh044
Picked011
Done011
Total79685

Merged error: 0.2b

Counts
85 → 6

regimes408.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.4b

bsearch99.0ms

Steps
ItersRangePoint
10
0.0008860962864704381
60621560005288.23
106461945.76970826
10
-6.737279482671365e+20
-193472316.15137818
-201670841.92241573

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03516
13516

end0.0ms

analyze552.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
6.2%93.7%0.1%5
6.2%90.5%3.2%6
21.9%67.1%11%7
23.4%64.8%11.8%8
32%52.7%15.3%9
33.2%51.3%15.5%10
37.7%45.2%17.2%11
38.3%44.4%17.2%12
40.6%41.3%18%13
41%41%18%14

sample1.3s

Algorithm
intervals
Results
294.0ms5631×body80valid
229.0ms870×body1280valid
158.0ms771×body1280nan
158.0ms821×body640valid
117.0ms746×body640nan
60.0ms437×body320valid
52.0ms450×body320nan
22.0ms241×body160valid
17.0ms227×body160nan
13.0ms342×body80nan

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