Details

Time bar (total: 6.3s)

sample41.0ms

Algorithm
intervals
Results
20.0ms265×body80valid

simplify85.0ms

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: 29.5b

Counts
2 → 1

localize21.0ms

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

rewrite61.0ms

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:
14.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
10.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
9.0ms
(* (+ (* (+ y a) y) b) y)
25.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

series799.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (+ (* (+ (* (+ y a) y) b) y) c) y)
79.0ms
(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
297.0ms
(* (+ (* (+ y a) y) b) y)
317.0ms
(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))

simplify70.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05351242
121861109
250011089

prune548.0ms

Filtered
111 candidates to 97 candidates (87.4%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh000
Picked101
Done000
Total1039112

Merged error: 28.5b

Counts
112 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma x y z) y 27464.7644705)
0.0b
(fma (fma (fma (+ y a) y b) y c) y i)
0.0b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
28.8b
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac div-exp fma-udef associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 54
Calls
4 calls:
1.0ms
(fma (fma x y z) y 27464.7644705)
1.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
4.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series482.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(fma (fma x y z) y 27464.7644705)
94.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
55.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
295.0ms
(/ (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify99.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0227509
1676427
23228425
35002425

prune308.0ms

Filtered
66 candidates to 54 candidates (81.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New61566
Fresh538
Picked101
Done000
Total67875

Merged error: 28.5b

Counts
75 → 8

localize25.0ms

Local error

Found 4 expressions with local error:

20.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
20.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
20.3b
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
28.8b
(/ (fma (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 div-exp associate-/l*
2×cbrt-undiv prod-exp
1×frac-2neg 1-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
1.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
1.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
4.0ms
(/ (fma (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

series815.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
206.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
156.0ms
(cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))
299.0ms
(/ (fma (* (* (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616)) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) (cbrt (fma (fma (fma x y z) y 27464.7644705) y 230661.510616))) y t) (* (fma (fma (fma (+ y a) y b) y c) y i) 1))

simplify86.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
02401036
1685882
22963818
35001781

prune375.0ms

Filtered
75 candidates to 60 candidates (80.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done000
Total75883

Merged error: 28.5b

Counts
83 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
0.0b
(fma (fma (fma (+ y a) y b) y c) y i)
0.8b
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
28.5b
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
13×associate-*l*
11×add-cbrt-cube
7×pow1
4×expm1-log1p-u div-exp prod-exp fma-udef log1p-expm1-u add-log-exp
3×associate-*r* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
1.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
3.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
7.0ms
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

series638.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma (fma (fma x y z) y 27464.7644705) y 230661.510616)
91.0ms
(fma (fma (fma (+ y a) y b) y c) y i)
58.0ms
(/ 1 (fma (fma (fma (+ y a) y b) y c) y i))
433.0ms
(* (/ 1 (fma (fma (fma (+ y a) y b) y c) y i)) (fma (fma (fma (fma x y z) y 27464.7644705) y 230661.510616) y t))

simplify43.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0286939
11108821
25002794

prune358.0ms

Filtered
104 candidates to 73 candidates (70.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh066
Picked011
Done011
Total1048112

Merged error: 28.5b

Counts
112 → 8

regimes417.0ms

Accuracy

0% (1.2b remaining)

Error of 28.7b against oracle of 27.6b and baseline of 28.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03121
13521
23521

end0.0ms

sample907.0ms

Algorithm
intervals
Results
549.0ms8224×body80valid