Details

Time bar (total: 18.9s)

sample81.0ms

Algorithm
intervals
Results
44.0ms500×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
06715
122513
282312
3302812
4500112

prune17.0ms

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: 6.1b

Counts
2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.7b
(* (* j 27.0) k)
4.0b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* (* j 27.0) k))))
4.5b
(* (* (* 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:
6.0ms
(* (* 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)

series3.0s

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

simplify77.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0326447
11657364
25001364

prune390.0ms

Filtered
85 candidates to 54 candidates (63.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New741185
Fresh011
Picked101
Done000
Total751287

Merged error: 3.3b

Counts
87 → 12

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
4.0b
(fma t (- (* (* (* x 18.0) y) z) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.5b
(* (* (* 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
(* (* x 18.0) y)
6.0ms
(* 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)

series3.0s

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

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0318446
11546363
25002363

prune371.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New81485
Fresh4711
Picked101
Done000
Total861197

Merged error: 3.1b

Counts
97 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
4.0b
(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))))))
4.5b
(* (* (* x 18.0) y) z)

rewrite12.0ms

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

series3.4s

Counts
4 → 12
Calls
4 calls:
204.0ms
(cbrt j)
205.0ms
(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))))))
27.0ms
(* (* (* x 18.0) y) z)

simplify283.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0248437
11077368
25002362

prune405.0ms

Filtered
71 candidates to 54 candidates (76.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New69271
Fresh1910
Picked101
Done000
Total711182

Merged error: 3.1b

Counts
82 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
0.2b
(* j (* 27.0 k))
4.0b
(fma t (- (* (* x 18.0) (* y z)) (* a 4.0)) (- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k)))))
4.4b
(* (* x 18.0) (* y z))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×expm1-log1p-u associate-*l* log1p-expm1-u
3×prod-diff
2×associate-*r* *-commutative fma-udef
1×sub-neg flip3-- fma-neg diff-log flip-- associate--r+
Counts
4 → 73
Calls
4 calls:
4.0ms
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
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))

series3.1s

Counts
4 → 12
Calls
4 calls:
101.0ms
(- (* b c) (fma x (* 4.0 i) (* j (* 27.0 k))))
19.0ms
(* j (* 27.0 k))
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))

simplify62.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0397627
11558488
25001488

prune298.0ms

Filtered
85 candidates to 51 candidates (60.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh1910
Picked101
Done000
Total841296

Merged error: 3.0b

Counts
96 → 12

regimes1.7s

Accuracy

40% (2.5b remaining)

Error of 4.6b against oracle of 2.2b and baseline of 6.3b

bsearch216.0ms

Steps
ItersRangePoint
3
1.062985435670902e-192
1.3392301345418807e-192
1.287434253503572e-192
9
-1.1362690059058985e-188
-1.3623494092100918e-194
-9.576207732897646e-189

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07247
17847
27847

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s16219×body80valid