Details

Time bar (total: 4.2s)

analyze544.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
21.8%78%0.1%9
49.1%50.7%0.1%10
52.7%47.2%0.1%11
52.7%47.2%0.1%12
71.7%28.2%0.1%13
74.1%25.8%0.1%14

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
16410
214310
328810
444310
556310
664810
781710
8106010
9106610
10106610

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
3.1b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
17.3b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-*r/
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num sum-log div-inv associate-/l*
Counts
4 → 78
Calls
4 calls:
4.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
7.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
19.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
6.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
12.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
24.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify68.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0479705
12236601
25002601

prune148.0ms

Filtered
63 candidates to 90 candidates (-42.9%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86490
Fresh000
Picked011
Done000
Total86591

Merged error: 0b

Counts
91 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z 0.0692910599291889) 0.4917317610505968)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
0.1b
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.9b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×times-frac
18×associate-*r*
13×add-exp-log add-cbrt-cube
8×pow1
6×associate-*l* add-log-exp
5×flip3-+ flip-+
4×associate-/r/
3×prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv associate-/l/
1×+-commutative frac-2neg associate-*r/ clear-num sum-log
Counts
4 → 96
Calls
4 calls:
4.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
6.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
16.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
16.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* z 0.0692910599291889) 0.4917317610505968)
6.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
25.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
6.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify68.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
04991062
12187948
25003948

prune175.0ms

Filtered
78 candidates to 108 candidates (-38.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh033
Picked011
Done011
Total1085113

Merged error: 0b

Counts
113 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
13.2b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
13.3b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
13.3b
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
66×times-frac
47×add-cube-cbrt *-un-lft-identity
42×sqrt-prod
24×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
10×sqrt-div
9×unswap-sqr
8×pow1
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 150
Calls
4 calls:
36.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
15.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
7.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
6.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series40.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (/ y (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))) (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))))
7.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
4.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))
4.0ms
(sqrt (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify85.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
07202533
130902327
250022242

prune407.0ms

Filtered
114 candidates to 162 candidates (-42.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1620162
Fresh022
Picked011
Done022
Total1625167

Merged error: 0b

Counts
167 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.40462203869992125 (/ y (pow z 2)))
0.2b
(* 0.07512208616047561 (/ y z))
3.7b
(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
7.0b
(/ y (pow z 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt times-frac
45×add-cube-cbrt *-un-lft-identity
41×associate-*r*
24×add-exp-log
22×unpow-prod-down
16×add-cbrt-cube
9×add-log-exp
8×pow1 associate-/r* unpow2 sqr-pow
7×div-exp unswap-sqr
6×associate-*l* prod-exp
4×associate-*r/ cbrt-unprod
3×cbrt-undiv div-inv associate-/l*
2×pow-to-exp diff-log pow-prod-down pow-exp *-commutative frac-sub
1×sub-neg flip3-- frac-2neg flip3-+ associate--l+ clear-num sum-log flip-- flip-+
Counts
4 → 149
Calls
4 calls:
13.0ms
(* 0.40462203869992125 (/ y (pow z 2)))
8.0ms
(* 0.07512208616047561 (/ y z))
9.0ms
(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
6.0ms
(/ y (pow z 2))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* 0.40462203869992125 (/ y (pow z 2)))
3.0ms
(* 0.07512208616047561 (/ y z))
10.0ms
(- (+ (* 0.07512208616047561 (/ y z)) (* 0.0692910599291889 y)) (* 0.40462203869992125 (/ y (pow z 2))))
6.0ms
(/ y (pow z 2))

simplify84.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0592895
12875809
25002800

prune197.0ms

Filtered
106 candidates to 161 candidates (-51.9%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1610161
Fresh011
Picked011
Done033
Total1615166

Merged error: 0b

Counts
166 → 5

regimes359.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 16.0b

bsearch294.0ms

Steps
ItersRangePoint
9
121.9070486092447
53085195.61591384
580404.5897520118
10
-1.2259642551299334e+20
-11039079.08738104
-28381570.31434774

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05525
15525

end0.0ms

analyze561.0ms

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
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
21.8%78%0.1%9
49.1%50.7%0.1%10
52.7%47.2%0.1%11
52.7%47.2%0.1%12
71.7%28.2%0.1%13
74.1%25.8%0.1%14

sample669.0ms

Algorithm
intervals
Results
477.0ms8000×body80valid

Profiling

Loading profile data...