Details

Time bar (total: 18.7s)

sample87.0ms

Algorithm
intervals
Results
48.0ms532×body80valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune14.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 4.9b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.4b
(* (* x 18.0) y)
2.7b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.6b
(* (* (* x 18.0) y) z)

rewrite21.0ms

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))))
7.0ms
(* (* (* x 18.0) y) z)

series3.0s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
23.0ms
(* (* 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))))
31.0ms
(* (* (* x 18.0) y) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326447
11657364
25001364

prune370.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New731285
Fresh000
Picked101
Done000
Total741286

Merged error: 1.7b

Counts
86 → 12

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.4b
(* (* x 18.0) y)
2.7b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.6b
(* (* (* x 18.0) y) z)

rewrite21.0ms

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:
5.0ms
(* j (* 27.0 k))
6.0ms
(* (* 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:
17.0ms
(* j (* 27.0 k))
20.0ms
(* (* 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)

simplify50.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318446
11546363
25002363

prune341.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh01111
Picked011
Done000
Total831497

Merged error: 1.7b

Counts
97 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.2b
(* x (* 18.0 y))
2.7b
(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.6b
(* (* x (* 18.0 y)) z)

rewrite21.0ms

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:
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)

series3.0s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* j 27.0) k)
23.0ms
(* 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))))
31.0ms
(* (* x (* 18.0 y)) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0324447
11471364
25001364

prune320.0ms

Filtered
85 candidates to 49 candidates (57.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh21012
Picked011
Done011
Total861399

Merged error: 1.7b

Counts
99 → 13

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
2.7b
(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))))))
5.6b
(* (* (* 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:
198.0ms
(cbrt j)
217.0ms
(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))))))
31.0ms
(* (* (* x 18.0) y) z)

simplify47.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0248437
11077368
25002362

prune345.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New70171
Fresh01010
Picked011
Done022
Total701484

Merged error: 1.7b

Counts
84 → 14

regimes1.5s

Accuracy

53.1% (1.7b remaining)

Error of 3.8b against oracle of 2.1b and baseline of 5.6b

bsearch610.0ms

Steps
ItersRangePoint
9
1.4338384811232355e+27
2.139204744819501e+32
2.0354532766906508e+27
11
-6.02863631657265e+41
-5.588937003042393e+19
-1.2751776992164065e+40

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05639
15639

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.4s16227×body80valid

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