Details

Time bar (total: 6.5s)

sample42.0ms

Algorithm
intervals
Results
21.0ms261×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04816
110216
229216
380316
4214316
5361616
6416616
7500216

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: 27.6b

Counts
2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
26.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite56.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 99
Calls
4 calls:
9.0ms
(* (+ (* (+ y a) y) b) y)
7.0ms
(* (+ (* x y) z) y)
11.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
27.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series461.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* (+ y a) y) b) y)
38.0ms
(* (+ (* x y) z) y)
52.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
337.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05341179
121481042
250011024

prune561.0ms

Filtered
111 candidates to 96 candidates (86.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New10011111
Fresh000
Picked101
Done000
Total10111112

Merged error: 26.7b

Counts
112 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

16.7b
(cbrt (+ (* (+ y a) y) b))
16.7b
(cbrt (+ (* (+ y a) y) b))
16.7b
(cbrt (+ (* (+ y a) y) b))
26.9b
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod times-frac
6×add-exp-log cbrt-div add-cbrt-cube
5×flip3-+ flip-+
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-/r* associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 78
Calls
4 calls:
6.0ms
(cbrt (+ (* (+ y a) y) b))
6.0ms
(cbrt (+ (* (+ y a) y) b))
6.0ms
(cbrt (+ (* (+ y a) y) b))
49.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

series653.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ (* (+ y a) y) b))
111.0ms
(cbrt (+ (* (+ y a) y) b))
106.0ms
(cbrt (+ (* (+ y a) y) b))
328.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03511732
111771576
250021484

prune538.0ms

Filtered
90 candidates to 84 candidates (93.3%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh1910
Picked011
Done000
Total8912101

Merged error: 26.7b

Counts
101 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* x y) z) y)
0.1b
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.3b
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
27.0b
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
24×prod-exp
22×add-cbrt-cube
19×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity associate-*r*
12×1-exp div-exp
9×associate-*l*
7×cbrt-unprod
6×rec-exp times-frac associate-*l/
4×cbrt-undiv expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u add-log-exp
3×*-commutative associate-/l* unswap-sqr
2×frac-times pow-flip div-inv
1×frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow
Counts
4 → 118
Calls
4 calls:
7.0ms
(* (+ (* x y) z) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
4.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
20.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

series468.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (+ (* x y) z) y)
56.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
55.0ms
(/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1))
324.0ms
(* (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (/ 1 (* (fma (fma (fma (+ y a) y b) y c) y i) 1)))

simplify73.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05451168
12207978
25001910

prune509.0ms

Filtered
130 candidates to 88 candidates (67.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1282130
Fresh2810
Picked011
Done011
Total13012142

Merged error: 26.7b

Counts
142 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* (+ y a) y) b) y)
7.8b
(* z (pow y 2))
8.0b
(fma x (pow y 3) (* z (pow y 2)))
26.9b
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
13×add-exp-log
11×associate-*r*
10×add-cbrt-cube
9×times-frac
6×pow1 associate-*l*
5×unswap-sqr
4×expm1-log1p-u unpow-prod-down prod-exp log1p-expm1-u add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*l/ associate-/r/ *-commutative cbrt-unprod associate-/l/ unpow2 sqr-pow
1×cbrt-undiv pow-to-exp frac-2neg div-exp pow-prod-down pow-exp clear-num fma-udef div-inv
Counts
4 → 94
Calls
4 calls:
9.0ms
(* (+ (* (+ y a) y) b) y)
5.0ms
(* z (pow y 2))
1.0ms
(fma x (pow y 3) (* z (pow y 2)))
23.0ms
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series419.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (+ (* (+ y a) y) b) y)
30.0ms
(* z (pow y 2))
54.0ms
(fma x (pow y 3) (* z (pow y 2)))
302.0ms
(/ (+ (* (+ (fma x (pow y 3) (* z (pow y 2))) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify61.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
04411077
11875965
25001954

prune452.0ms

Filtered
106 candidates to 83 candidates (78.3%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh099
Picked011
Done022
Total10612118

Merged error: 26.7b

Counts
118 → 12

regimes702.0ms

Accuracy

0% (1.1b remaining)

Error of 29.2b against oracle of 28.1b and baseline of 29.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04527
14527

end0.0ms

sample1.1s

Algorithm
intervals
Results
668.0ms8254×body80valid

Profiling

Loading profile data...