Details

Time bar (total: 3.1s)

analyze13.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample23.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify706.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
048116
148116

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 33.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
32.3b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series145.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* (pow x 2.0) 2)
86.0ms
(sqrt (* (pow x 2.0) 2))

simplify93.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04895307
14895307

prune92.0ms

Filtered
31 candidates to 41 candidates (-32.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 18.1b

Counts
42 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2) (pow x 1.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*r*
6×add-exp-log associate-*l* sqrt-prod unswap-sqr
5×add-cube-cbrt unpow-prod-down *-un-lft-identity
3×prod-exp add-cbrt-cube sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 31
Calls
1 calls:
6.0ms
(* (sqrt 2) (pow x 1.0))

series64.0ms

Counts
1 → 3
Calls
1 calls:
64.0ms
(* (sqrt 2) (pow x 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04938305
14938305

prune81.0ms

Filtered
20 candidates to 34 candidates (-70.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New29534
Fresh145
Picked101
Done011
Total311041

Merged error: 18.0b

Counts
41 → 10

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (pow (pow x (neg 1.0)) 1.0))
0.4b
(* (sqrt 2) (pow (/ 1 (pow (pow x (neg 1.0)) 1.0)) 1.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
145×unpow-prod-down
102×add-sqr-sqrt
86×times-frac
60×*-un-lft-identity
50×add-exp-log add-cube-cbrt
41×associate-*r*
40×pow-exp
26×unswap-sqr
25×sqr-pow
20×div-exp
18×prod-exp
16×sqrt-prod
13×pow-to-exp
11×associate-/r*
10×rec-exp 1-exp
6×associate-*l* add-cbrt-cube
3×associate-/l*
2×pow1 div-inv add-log-exp
1×cbrt-undiv pow-flip frac-2neg clear-num *-commutative cbrt-unprod inv-pow
Counts
2 → 175
Calls
2 calls:
9.0ms
(/ 1 (pow (pow x (neg 1.0)) 1.0))
23.0ms
(* (sqrt 2) (pow (/ 1 (pow (pow x (neg 1.0)) 1.0)) 1.0))

series154.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ 1 (pow (pow x (neg 1.0)) 1.0))
82.0ms
(* (sqrt 2) (pow (/ 1 (pow (pow x (neg 1.0)) 1.0)) 1.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049282748
149282748

prune370.0ms

Filtered
89 candidates to 181 candidates (-103.4%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1774181
Fresh178
Picked011
Done011
Total17813191

Merged error: 18.0b

Counts
191 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2)))
0.3b
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
17×add-exp-log
16×associate-*l*
10×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
9×add-cbrt-cube unswap-sqr
6×unpow-prod-down
4×pow1 cbrt-unprod sqr-pow
2×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 62
Calls
2 calls:
8.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
10.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

series128.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
63.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

simplify84.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04913655
14913655

prune116.0ms

Filtered
41 candidates to 68 candidates (-65.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New65368
Fresh5510
Picked011
Done022
Total701181

Merged error: 18.0b

Counts
81 → 11

regimes191.0ms

Accuracy

98.6% (0.2b remaining)

Error of 15.0b against oracle of 14.8b and baseline of 31.1b

bsearch27.0ms

Steps
ItersRangePoint
8
-5.2174875778716256e-306
1.8231562348847633e-307
-4.10308142148605e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02127
12127

end0.0ms

analyze6.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample526.0ms

Algorithm
intervals
Results
424.0ms8000×body80valid

Profiling

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