Details

Time bar (total: 2.8s)

analyze14.0ms

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

sample215.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify504.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

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: 32.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
30.7b
(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))

series148.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(* (pow x 2.0) 2)
88.0ms
(sqrt (* (pow x 2.0) 2))

simplify55.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04905307
14905307

prune100.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New33841
Fresh000
Picked011
Done000
Total33942

Merged error: 15.7b

Counts
42 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (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))

series63.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (sqrt 2) (pow x 1.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04998305
14998305

prune86.0ms

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

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New28634
Fresh257
Picked011
Done101
Total311243

Merged error: 15.6b

Counts
43 → 12

localize9.0ms

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:
7.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
9.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
60.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

simplify69.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04893655
14893655

prune149.0ms

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

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New64468
Fresh5510
Picked011
Done011
Total691180

Merged error: 15.5b

Counts
80 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
13×add-cbrt-cube
12×prod-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×cbrt-unprod
5×sqrt-prod
4×add-log-exp
3×pow1/3 pow-prod-down
1×pow-to-exp associate-*r* pow-exp *-commutative
Counts
4 → 59
Calls
4 calls:
17.0ms
(* (sqrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (cbrt 2))))))
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)
1.0ms
(cbrt 2)

series94.0ms

Counts
4 → 6
Calls
4 calls:
94.0ms
(* (sqrt (sqrt (* (cbrt 2) (cbrt 2)))) (* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt (cbrt 2))))))
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)
0.0ms
(cbrt 2)

simplify53.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04993679
14993679

prune199.0ms

Filtered
50 candidates to 65 candidates (-30.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New64165
Fresh088
Picked011
Done112
Total651176

Merged error: 15.5b

Counts
76 → 11

regimes191.0ms

Accuracy

97.6% (0.4b remaining)

Error of 15.5b against oracle of 15.1b and baseline of 31.3b

bsearch20.0ms

Steps
ItersRangePoint
10
-8.711722846480093e-295
1.1188281915123586e-307
6.0263395317301e-311

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02030
12030

end0.0ms

sample529.0ms

Algorithm
intervals
Results
425.0ms8000×body80valid

Profiling

Loading profile data...