Details

Time bar (total: 16.7s)

sample75.0ms

Algorithm
intervals
Results
38.0ms520×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune11.0ms

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: 6.1b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
4.5b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.1b
(* (* (* 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
(* (* x 18.0) y)
5.0ms
(* (* j 27.0) k)
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)

series2.9s

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 18.0) y)
19.0ms
(* (* j 27.0) k)
2.8s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
32.0ms
(* (* (* x 18.0) y) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0326447
11657364
25001364

prune334.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New76985
Fresh000
Picked101
Done000
Total77986

Merged error: 2.5b

Counts
86 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* j 27.0) k)
0.3b
(* x (* 18.0 y))
4.5b
(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
5.1b
(* (* 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:
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)

series2.7s

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* j 27.0) k)
23.0ms
(* x (* 18.0 y))
2.7s
(fma t (- (* (* x (* 18.0 y)) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
26.0ms
(* (* x (* 18.0 y)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0324447
11471364
25001364

prune303.0ms

Filtered
85 candidates to 49 candidates (57.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 2.5b

Counts
94 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.5b
(* j (* 27.0 k))
4.5b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
5.1b
(* (* (* x 18.0) y) z)

rewrite24.0ms

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
(* (* x 18.0) y)
5.0ms
(* j (* 27.0 k))
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)

series2.8s

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (* x 18.0) y)
36.0ms
(* j (* 27.0 k))
2.7s
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
29.0ms
(* (* (* x 18.0) y) z)

simplify70.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0318446
11546363
25002363

prune315.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh167
Picked101
Done011
Total841094

Merged error: 2.5b

Counts
94 → 10

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
4.5b
(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))))))
5.1b
(* (* (* 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:
3.0ms
(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))))))
7.0ms
(* (* (* x 18.0) y) z)

series3.1s

Counts
4 → 12
Calls
4 calls:
196.0ms
(cbrt j)
205.0ms
(cbrt j)
2.7s
(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))))))
26.0ms
(* (* (* x 18.0) y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0248437
11077368
25002362

prune340.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New70171
Fresh088
Picked011
Done011
Total701181

Merged error: 2.5b

Counts
81 → 11

regimes1.1s

Accuracy

38% (2.3b remaining)

Error of 4.5b against oracle of 2.2b and baseline of 5.9b

bsearch247.0ms

Steps
ItersRangePoint
9
7.19697311750754e-125
1.1978123735106305e-119
7.438102382967379e-125
6
-5.970090787312522e-119
-4.985165274868643e-120
-5.830860342378528e-119

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04621
15221
25221

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s16042×body80valid