Details

Time bar (total: 3.7s)

analyze500.0ms

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

sample214.0ms

Algorithm
intervals
Results
205.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
045221
145221

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* z (+ z 6.012459259764103)) 3.350343815022304)
0.1b
(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
0.1b
(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
16.3b
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 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×associate-*r/ prod-exp associate-/r* cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv distribute-rgt-in associate-+l+ distribute-lft-in div-exp pow-prod-down *-commutative div-inv associate-/l/
1×+-commutative frac-2neg clear-num sum-log
Counts
4 → 100
Calls
4 calls:
9.0ms
(+ (* z (+ z 6.012459259764103)) 3.350343815022304)
6.0ms
(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
15.0ms
(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
13.0ms
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series38.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (* z (+ z 6.012459259764103)) 3.350343815022304)
6.0ms
(* z (+ (* z 0.0692910599291889) 0.4917317610505968))
24.0ms
(* y (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))
6.0ms
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify34.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
054071960

prune197.0ms

Filtered
85 candidates to 112 candidates (-31.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1093112
Fresh101
Picked011
Done000
Total1104114

Merged error: 0b

Counts
114 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

14.2b
(* (/ y (* (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
16.2b
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
16.2b
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
16.2b
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
24×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×cbrt-prod cbrt-div
18×add-cbrt-cube
15×associate-*l*
10×flip3-+ associate-/r/ flip-+
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 108
Calls
4 calls:
35.0ms
(* (/ y (* (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
6.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
6.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
7.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

series50.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ y (* (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304)))) (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))))
7.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
7.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))
8.0ms
(cbrt (+ (* z (+ z 6.012459259764103)) 3.350343815022304))

simplify67.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049593365
149593365

prune388.0ms

Filtered
102 candidates to 120 candidates (-17.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh022
Picked011
Done011
Total1204124

Merged error: 0b

Counts
124 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* y (/ 0.07512208616047561 z))
0.3b
(/ 0.40462203869992125 (* z z))
5.2b
(+ (* y (/ 0.07512208616047561 z)) (- (* 0.0692910599291889 y) (* y (/ 0.40462203869992125 (* z z)))))
7.2b
(* y (/ 0.40462203869992125 (* z z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-cube-cbrt *-un-lft-identity times-frac
9×add-log-exp
8×pow1
7×prod-exp cbrt-unprod
6×associate-*l*
5×cbrt-undiv div-exp
4×associate-*r/ unswap-sqr
3×div-inv associate-/l*
2×pow-prod-down frac-add sum-log *-commutative
1×+-commutative associate-+r- sub-neg associate-+r+ flip3-- frac-2neg flip3-+ diff-log clear-num associate-/r* flip-- flip-+
Counts
4 → 97
Calls
4 calls:
6.0ms
(* y (/ 0.07512208616047561 z))
4.0ms
(/ 0.40462203869992125 (* z z))
8.0ms
(+ (* y (/ 0.07512208616047561 z)) (- (* 0.0692910599291889 y) (* y (/ 0.40462203869992125 (* z z)))))
7.0ms
(* y (/ 0.40462203869992125 (* z z)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* y (/ 0.07512208616047561 z))
3.0ms
(/ 0.40462203869992125 (* z z))
9.0ms
(+ (* y (/ 0.07512208616047561 z)) (- (* 0.0692910599291889 y) (* y (/ 0.40462203869992125 (* z z)))))
6.0ms
(* y (/ 0.40462203869992125 (* z z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049821025
149821025

prune120.0ms

Filtered
74 candidates to 109 candidates (-47.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done022
Total1094113

Merged error: 0b

Counts
113 → 4

localize24.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y)
13.4b
(+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304)))
18.8b
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3)))
26.7b
(* (* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y) (+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
102×associate-*r/
48×frac-add
42×frac-times flip3-+ flip-+
39×*-un-lft-identity
33×associate-*l/
31×times-frac
30×add-sqr-sqrt
25×add-cube-cbrt
24×flip3-- flip--
22×associate-*l*
20×add-exp-log add-cbrt-cube
11×pow1
9×add-log-exp
7×prod-exp sum-cubes cbrt-unprod distribute-lft-out
6×associate-*r*
5×distribute-rgt-in distribute-lft-in associate-/r*
4×associate-+l+ pow-prod-down associate-/r/
3×cbrt-undiv div-exp associate-/l*
2×sum-log *-commutative div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+r- sub-neg associate-+r+ frac-2neg diff-log clear-num
Counts
4 → 172
Calls
4 calls:
19.0ms
(* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y)
16.0ms
(+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304)))
19.0ms
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3)))
36.0ms
(* (* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y) (+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304))))

series80.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y)
5.0ms
(+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304)))
8.0ms
(/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3)))
42.0ms
(* (* (/ (+ (* z (+ (* z 0.0692910599291889) 0.4917317610505968)) 0.279195317918525) (+ (pow (* z (+ z 6.012459259764103)) 3) (pow 3.350343815022304 3))) y) (+ (* (* z (+ z 6.012459259764103)) (* z (+ z 6.012459259764103))) (- (* 3.350343815022304 3.350343815022304) (* (* z (+ z 6.012459259764103)) 3.350343815022304))))

simplify101.0ms

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049588622
149588622

prune723.0ms

Filtered
132 candidates to 184 candidates (-39.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done033
Total1844188

Merged error: 0b

Counts
188 → 4

regimes214.0ms

Accuracy

98.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 16.2b

bsearch35.0ms

Steps
ItersRangePoint
9
9.31119059751155e-12
1.162072468188194e-05
1.1469899365168164e-05
7
-8.833506057283093e+154
-1.4302945329867213e+153
-2.3901906655740503e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08549
18549

end0.0ms

sample582.0ms

Algorithm
intervals
Results
413.0ms8000×body80valid

Profiling

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