Details

Time bar (total: 7.1s)

sample40.0ms

Algorithm
intervals
Results
20.0ms264×body80valid

simplify108.0ms

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: 28.1b

Counts
2 → 1

localize23.0ms

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)
27.4b
(/ (+ (* (+ (* (+ (* (+ (* 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:
11.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
7.0ms
(* (+ (* x y) z) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
31.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series454.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms
(* (+ (* x y) z) y)
37.0ms
(* (+ (* (+ y a) y) b) y)
329.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05091200
122221083
250011081

prune411.0ms

Filtered
103 candidates to 75 candidates (72.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New949103
Fresh000
Picked101
Done000
Total959104

Merged error: 27.2b

Counts
104 → 9

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

rewrite71.0ms

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)
16.0ms
(/ 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)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
34.0ms
(* (+ (* (+ y a) y) b) y)
56.0ms
(/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
331.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)))

simplify81.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05631664
127511466
250021440

prune430.0ms

Filtered
127 candidates to 80 candidates (63.0%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh178
Picked011
Done000
Total12511136

Merged error: 27.2b

Counts
136 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ y a) y) b) y)
0.5b
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
27.4b
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

rewrite76.0ms

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)
9.0ms
(* (+ (* (+ y a) y) b) y)
26.0ms
(/ 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))

series966.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (+ (* x y) z) y)
34.0ms
(* (+ (* (+ y a) y) b) y)
422.0ms
(/ 1 (/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t)))
472.0ms
(/ (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i) (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t))

simplify98.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06823530
133133260
250013180

prune512.0ms

Filtered
167 candidates to 95 candidates (56.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1670167
Fresh099
Picked011
Done011
Total16711178

Merged error: 27.2b

Counts
178 → 11

localize33.0ms

Local error

Found 4 expressions with local error:

18.5b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.5b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
18.5b
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
24.4b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
12.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
11.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
44.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

series959.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
144.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
139.0ms
(cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
535.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (* (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i)) (cbrt (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))))

simplify118.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
03371691
110181531
244261506
350021503

prune406.0ms

Filtered
82 candidates to 71 candidates (86.6%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New80282
Fresh178
Picked011
Done022
Total811293

Merged error: 26.7b

Counts
93 → 12

regimes579.0ms

Accuracy

0% (1.4b remaining)

Error of 29.6b against oracle of 28.2b and baseline of 29.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04617
14617

end0.0ms

sample1.0s

Algorithm
intervals
Results
664.0ms8228×body80valid

Profiling

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