Details

Time bar (total: 15.2s)

sample78.0ms

Algorithm
intervals
Results
39.0ms526×body80valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune16.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.4b

Counts
2 → 2

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* x 18.0) y)
5.2b
(* (* (* x 18.0) y) z)
6.5b
(* (* (* (* x 18.0) y) z) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×pow1 add-exp-log add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
4 → 89
Calls
4 calls:
5.0ms
(* (* j 27.0) k)
6.0ms
(* (* x 18.0) y)
8.0ms
(* (* (* x 18.0) y) z)
11.0ms
(* (* (* (* x 18.0) y) z) t)

series125.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
22.0ms
(* (* x 18.0) y)
35.0ms
(* (* (* x 18.0) y) z)
49.0ms
(* (* (* (* x 18.0) y) z) t)

simplify78.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0368453
12149350
25001350

prune359.0ms

Filtered
101 candidates to 54 candidates (53.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New938101
Fresh011
Picked101
Done000
Total949103

Merged error: 1.2b

Counts
103 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* (* x 18.0) y)
3.9b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.2b
(* (* (* x 18.0) y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* *-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (* j 27.0) k)
5.0ms
(* (* x 18.0) y)
1.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
8.0ms
(* (* (* x 18.0) y) z)

series2.9s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
22.0ms
(* (* x 18.0) y)
2.8s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
34.0ms
(* (* (* x 18.0) y) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326447
11657364
25001364

prune358.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New77885
Fresh628
Picked101
Done000
Total841094

Merged error: 1.2b

Counts
94 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.3b
(* (* x 18.0) y)
3.9b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.2b
(* (* (* x 18.0) y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
6.0ms
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
1.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
8.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* j (* 27.0 k))
22.0ms
(* (* x 18.0) y)
2.9s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
30.0ms
(* (* (* x 18.0) y) z)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0318446
11546363
25002363

prune318.0ms

Filtered
85 candidates to 53 candidates (62.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh099
Picked011
Done000
Total841195

Merged error: 1.2b

Counts
95 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
3.9b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
5.2b
(* (* (* x 18.0) y) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r*
2×pow1/3
1×associate-*l* *-commutative fma-udef
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt j)
1.0ms
(cbrt j)
1.0ms
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
8.0ms
(* (* (* x 18.0) y) z)

series3.4s

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt j)
194.0ms
(cbrt j)
3.0s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (* 27.0 k))))))
29.0ms
(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0248437
11077368
25002362

prune331.0ms

Filtered
71 candidates to 55 candidates (77.5%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh099
Picked011
Done011
Total701282

Merged error: 1.2b

Counts
82 → 12

regimes1.6s

Accuracy

43.5% (2.8b remaining)

Error of 3.5b against oracle of 0.7b and baseline of 5.6b

bsearch237.0ms

Steps
ItersRangePoint
7
3.300597773091447e+43
6.05841279593478e+44
3.557798781397932e+43
7
-37008.60667179904
-251.5789950134354
-10735.131202477718

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07651
17651

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s16016×body80valid