Details

Time bar (total: 10.5s)

sample91.0ms

Algorithm
intervals
Results
36.0ms271×body80valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04116
18816
225416
366316
4161516
5236216
6258416
7312216
8500116

prune11.0ms

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: 31.0b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
30.2b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite57.0ms

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)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
24.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series470.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms
(* (+ (* (+ y a) y) b) y)
316.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05091265
122591154
250021152

prune743.0ms

Filtered
103 candidates to 77 candidates (74.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9211103
Fresh000
Picked101
Done000
Total9311104

Merged error: 30.0b

Counts
104 → 11

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
30.1b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

rewrite67.0ms

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:
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
32.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

series439.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
32.0ms
(* (+ (* (+ y a) y) b) y)
48.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
308.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify74.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05631664
127511466
250021440

prune767.0ms

Filtered
127 candidates to 79 candidates (62.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1243127
Fresh2810
Picked101
Done000
Total12711138

Merged error: 30.0b

Counts
138 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.4b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
30.2b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite78.0ms

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:
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
24.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
28.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

series944.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms
(* (+ (* (+ y a) y) b) y)
403.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
452.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify95.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06843581
133453306
250013226

prune914.0ms

Filtered
167 candidates to 96 candidates (57.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1661167
Fresh1910
Picked011
Done000
Total16711178

Merged error: 30.0b

Counts
178 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.2b
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.5b
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
30.1b
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

rewrite100.0ms

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:
9.0ms
(* (+ (* (+ y a) y) b) y)
13.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
14.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
38.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

series599.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ (* (+ y a) y) b) y)
54.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
110.0ms
(/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))
402.0ms
(/ (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (/ 1 (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))

simplify141.0ms

Algorithm
egg-herbie
Counts
385 → 385
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
0174811996
1500211339

prune1.8s

Filtered
385 candidates to 191 candidates (49.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3850385
Fresh099
Picked011
Done011
Total38511396

Merged error: 30.0b

Counts
396 → 11

regimes1.6s

Accuracy

0% (1.1b remaining)

Error of 29.0b against oracle of 27.9b and baseline of 29.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04618
14618

end0.0ms

sample1.3s

Algorithm
intervals
Results
634.0ms8223×body80valid

Profiling

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