Details

Time bar (total: 4.0s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.9b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.2b
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
21.3b
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×add-exp-log add-cbrt-cube
14×*-un-lft-identity
12×add-cube-cbrt
10×pow1 associate-*l*
9×associate-*r*
5×flip3-+ flip-+
4×associate-*r/ associate-*l/ prod-exp cbrt-unprod add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative unswap-sqr
2×cbrt-undiv div-exp associate-/r/ associate-/l/
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 88
Calls
4 calls:
9.0ms
(* (+ z 6.012459259764103) z)
6.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
10.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
15.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series287.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (+ z 6.012459259764103) z)
63.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
55.0ms
(* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
122.0ms
(/ (* y (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify70.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0525728
12508623
25001623

prune234.0ms

Filtered
100 candidates to 68 candidates (68.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New964100
Fresh000
Picked101
Done000
Total974101

Merged error: 0b

Counts
101 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
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)))
16.8b
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1 associate-*l*
5×flip3-+ flip-+
4×associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg associate-*r/ clear-num distribute-lft-out
Counts
4 → 106
Calls
4 calls:
6.0ms
(* (+ z 6.012459259764103) z)
7.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
16.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
14.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series306.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (+ z 6.012459259764103) z)
65.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
125.0ms
(* y (/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304)))
69.0ms
(/ (+ (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify71.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05451085
12456970
25002970

prune262.0ms

Filtered
118 candidates to 85 candidates (72.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh033
Picked011
Done000
Total1184122

Merged error: 0b

Counts
122 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ z 6.012459259764103) z)
0.1b
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
4.3b
(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
21.3b
(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log add-cbrt-cube
13×pow1
12×times-frac
10×associate-*l*
7×associate-*r*
6×associate-*l/
5×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+ distribute-lft-out
4×associate-/l* add-log-exp
3×associate-/r* *-commutative
2×associate-*r/ associate-/r/ associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* (+ z 6.012459259764103) z)
6.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
8.0ms
(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
18.0ms
(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

series296.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (+ z 6.012459259764103) z)
68.0ms
(* (+ (* z 0.0692910599291889) 0.4917317610505968) z)
61.0ms
(* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
124.0ms
(/ (+ (* y (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* y 0.279195317918525)) (+ (* (+ z 6.012459259764103) z) 3.350343815022304))

simplify71.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0509919
12264814
25002812

prune240.0ms

Filtered
108 candidates to 75 candidates (69.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh022
Picked011
Done011
Total1084112

Merged error: 0b

Counts
112 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
0.2b
(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
1.1b
(* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525)))
25.8b
(/ (* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525))) (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-exp-log add-cbrt-cube
19×pow-prod-down
18×associate-*l/
14×prod-exp cbrt-unprod
12×add-sqr-sqrt frac-times flip3-+ flip-+
10×associate-*r/
8×add-cube-cbrt flip3-- *-un-lft-identity associate-*r* associate-/r/ flip--
7×associate-*l*
4×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp pow-sqr pow-prod-up add-log-exp
3×*-commutative
2×pow-plus associate-/l/ unswap-sqr
1×pow2 frac-2neg times-frac swap-sqr clear-num associate-/r* div-inv associate-/l* difference-of-squares
Counts
4 → 128
Calls
4 calls:
15.0ms
(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
13.0ms
(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
17.0ms
(* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525)))
34.0ms
(/ (* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525))) (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

series432.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525))
41.0ms
(* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z))
93.0ms
(* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525)))
239.0ms
(/ (* y (- (* (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) (* (+ (* z 0.0692910599291889) 0.4917317610505968) z)) (* 0.279195317918525 0.279195317918525))) (* (+ (* (+ z 6.012459259764103) z) 3.350343815022304) (- (* (+ (* z 0.0692910599291889) 0.4917317610505968) z) 0.279195317918525)))

simplify136.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
08421998
146051608
250011608

prune321.0ms

Filtered
140 candidates to 85 candidates (60.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh011
Picked011
Done022
Total1404144

Merged error: 0b

Counts
144 → 4

regimes130.0ms

Accuracy

98.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 15.7b

bsearch174.0ms

Steps
ItersRangePoint
9
0.005084175076633743
7137.79058365099
7056.026280312616
8
-2.1317766444086506e+39
-3.661253696423851e+34
-3.7253597105112314e+34

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05729
15729

end0.0ms

sample566.0ms

Algorithm
intervals
Results
397.0ms8000×body80valid

Profiling

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