Details

Time bar (total: 7.2s)

sample46.0ms

Algorithm
intervals
Results
21.0ms262×body80valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune4.0ms

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: 28.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
27.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite60.0ms

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:
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms
(* (+ (* x y) z) y)
12.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series468.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
38.0ms
(* (+ (* x y) z) y)
68.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
312.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify62.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05051241
122281133
250011131

prune444.0ms

Filtered
103 candidates to 76 candidates (73.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9013103
Fresh000
Picked101
Done000
Total9113104

Merged error: 27.0b

Counts
104 → 13

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
27.3b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite64.0ms

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:
7.0ms
(* (+ (* x y) z) y)
12.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series491.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (+ (* x y) z) y)
68.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
49.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
341.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify90.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05571654
127231470
250011444

prune428.0ms

Filtered
127 candidates to 79 candidates (62.2%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh01212
Picked011
Done000
Total12713140

Merged error: 27.0b

Counts
140 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.2b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.3b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite82.0ms

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:
7.0ms
(* (+ (* x y) z) y)
13.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
29.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series1.0s

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (+ (* x y) z) y)
66.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
423.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
474.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify99.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06803584
133363310
250023230

prune537.0ms

Filtered
167 candidates to 96 candidates (57.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1661167
Fresh11011
Picked011
Done011
Total16713180

Merged error: 27.0b

Counts
180 → 13

localize27.0ms

Local error

Found 4 expressions with local error:

24.2b
(cbrt (* (+ (* x y) z) y))
24.2b
(cbrt (* (+ (* x y) z) y))
24.2b
(cbrt (* (+ (* x y) z) y))
27.2b
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log cbrt-div associate-*l/ add-cbrt-cube
5×flip3-+ flip-+
4×pow1 add-log-exp
3×cbrt-prod pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 64
Calls
4 calls:
6.0ms
(cbrt (* (+ (* x y) z) y))
9.0ms
(cbrt (* (+ (* x y) z) y))
5.0ms
(cbrt (* (+ (* x y) z) y))
33.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series787.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(cbrt (* (+ (* x y) z) y))
129.0ms
(cbrt (* (+ (* x y) z) y))
121.0ms
(cbrt (* (+ (* x y) z) y))
410.0ms
(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03931666
112261529
250011486

prune413.0ms

Filtered
76 candidates to 67 candidates (88.2%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh01010
Picked011
Done022
Total761389

Merged error: 27.0b

Counts
89 → 13

regimes737.0ms

Accuracy

0% (1.1b remaining)

Error of 29.5b against oracle of 28.4b and baseline of 29.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04617
14617

end0.0ms

sample1.1s

Algorithm
intervals
Results
687.0ms8244×body80valid

Profiling

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