Details

Time bar (total: 9.4s)

analyze2.0s

Algorithm
search

sample44.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
1.0ms6×body80invalid

simplify101.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.6b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
29.0b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
12×add-exp-log add-cbrt-cube
10×pow1
9×times-frac associate-*r* associate-*l*
6×associate-*l/
5×flip3-+ flip-+
4×add-log-exp
3×pow-prod-down prod-exp associate-/r* *-commutative cbrt-unprod associate-/l* unswap-sqr
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 91
Calls
4 calls:
11.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
11.0ms
(* (+ (* (+ y a) y) b) y)
6.0ms
(* (+ (* x y) z) y)
23.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
8.0ms
(* (+ (* x y) z) y)
139.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05071214
122271108
250011108

prune243.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9112103
Fresh000
Picked101
Done000
Total9212104

Merged error: 28.7b

Counts
104 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.3b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.9b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
25×*-un-lft-identity
24×add-cube-cbrt
21×add-exp-log associate-*r*
20×times-frac
15×add-cbrt-cube
11×pow1
9×associate-*l*
6×flip3-+ associate-*l/ prod-exp flip-+
5×unswap-sqr
4×div-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv frac-times rec-exp 1-exp div-inv
1×pow-flip frac-2neg associate-*r/ clear-num un-div-inv inv-pow
Counts
4 → 115
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
6.0ms
(* (+ (* x y) z) y)
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series183.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
8.0ms
(* (+ (* x y) z) y)
23.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
144.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify75.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05611613
127191420
250021394

prune190.0ms

Filtered
77 candidates to 127 candidates (-64.9%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1252127
Fresh2911
Picked011
Done000
Total12712139

Merged error: 28.7b

Counts
139 → 12

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.4b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
29.1b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
64×add-sqr-sqrt
60×add-cube-cbrt *-un-lft-identity
21×add-exp-log
18×associate-/r*
15×add-cbrt-cube
11×associate-/r/
9×pow1
8×flip3-+ div-exp flip-+
6×associate-*r* associate-*l* div-inv associate-/l*
4×cbrt-undiv associate-*l/ add-log-exp
2×rec-exp frac-2neg 1-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/ unswap-sqr
1×pow-flip inv-pow
Counts
4 → 155
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
6.0ms
(* (+ (* x y) z) y)
25.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
24.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series376.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* (+ y a) y) b) y)
8.0ms
(* (+ (* x y) z) y)
135.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
225.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify93.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06823530
133133260
250013180

prune216.0ms

Filtered
93 candidates to 167 candidates (-79.6%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh1910
Picked011
Done011
Total16712179

Merged error: 28.7b

Counts
179 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
0.3b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
28.8b
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
531×times-frac
248×add-sqr-sqrt
246×add-cube-cbrt *-un-lft-identity
69×associate-/r/
54×add-exp-log
36×div-exp
35×flip3-+ flip-+ div-inv
22×add-cbrt-cube
21×associate-/r* associate-/l*
10×cbrt-undiv rec-exp 1-exp
8×pow1
4×add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×pow-flip associate-*l/ inv-pow
1×pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ unswap-sqr
Counts
4 → 373
Calls
4 calls:
6.0ms
(* (+ (* x y) z) y)
17.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
12.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (+ (* x y) z) y)
38.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
23.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
136.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify135.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
0173911965
1500111316

prune510.0ms

Filtered
190 candidates to 385 candidates (-102.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New3850385
Fresh099
Picked011
Done022
Total38512397

Merged error: 28.7b

Counts
397 → 12

regimes1.4s

Accuracy

0% (1.1b remaining)

Error of 29.1b against oracle of 28.0b and baseline of 29.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04617
14617

end0.0ms

analyze2.0s

Algorithm
search

sample1.1s

Algorithm
intervals
Results
701.0ms8000×body80valid
18.0ms225×body80invalid

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