Details

Time bar (total: 6.9s)

sample102.0ms

Algorithm
intervals
Results
44.0ms509×body80valid

simplify144.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune15.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 5.9b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* (* j 27.0) k)
3.4b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.9b
(* (* (* x 18.0) y) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
12×associate-*r*
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* x 18.0) y)
4.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms
(* (* (* x 18.0) y) z)

series43.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* x 18.0) y)
3.0ms
(* (* j 27.0) k)
25.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0406472
12141393
25001393

prune199.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New811293
Fresh000
Picked101
Done000
Total821294

Merged error: 2.7b

Counts
94 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* j 27.0) k)
0.3b
(* 18.0 (* x (* z y)))
3.4b
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
4.4b
(* x (* z y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
4.0ms
(* (* j 27.0) k)
6.0ms
(* 18.0 (* x (* z y)))
8.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
5.0ms
(* x (* z y))

series45.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (* j 27.0) k)
6.0ms
(* 18.0 (* x (* z y)))
25.0ms
(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))
6.0ms
(* x (* z y))

simplify48.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0380468
11668389
25001389

prune165.0ms

Filtered
93 candidates to 51 candidates (45.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh3811
Picked011
Done000
Total9411105

Merged error: 2.7b

Counts
105 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* j 27.0) k)
0.3b
(* 18.0 (* (* x z) y))
3.4b
(* t (- (* 18.0 (* (* x z) y)) (* a 4.0)))
4.8b
(* (* x z) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (* j 27.0) k)
6.0ms
(* 18.0 (* (* x z) y))
8.0ms
(* t (- (* 18.0 (* (* x z) y)) (* a 4.0)))
5.0ms
(* (* x z) y)

series43.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* j 27.0) k)
6.0ms
(* 18.0 (* (* x z) y))
28.0ms
(* t (- (* 18.0 (* (* x z) y)) (* a 4.0)))
6.0ms
(* (* x z) y)

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0397470
11949391
25001391

prune165.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh189
Picked011
Done011
Total9311104

Merged error: 2.7b

Counts
104 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 18.0 (* x z))
0.3b
(* (* j 27.0) k)
3.4b
(* t (- (* (* 18.0 (* x z)) y) (* a 4.0)))
4.8b
(* (* 18.0 (* x z)) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-exp-log add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
8×associate-*l*
4×*-commutative add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* 18.0 (* x z))
5.0ms
(* (* j 27.0) k)
8.0ms
(* t (- (* (* 18.0 (* x z)) y) (* a 4.0)))
6.0ms
(* (* 18.0 (* x z)) y)

series42.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 18.0 (* x z))
3.0ms
(* (* j 27.0) k)
28.0ms
(* t (- (* (* 18.0 (* x z)) y) (* a 4.0)))
7.0ms
(* (* 18.0 (* x z)) y)

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0395472
11908393
25001393

prune92.0ms

Filtered
93 candidates to 50 candidates (46.2%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done022
Total9311104

Merged error: 2.7b

Counts
104 → 11

regimes2.3s

Accuracy

27.7% (2.4b remaining)

Error of 4.8b against oracle of 2.4b and baseline of 5.7b

bsearch100.0ms

Steps
ItersRangePoint
8
1.2590079016585076e-197
7.283753147485352e-195
3.0041142860328645e-195
7
-1.0132139993563204e-217
-2.6726945810244477e-219
-6.542415531350593e-218

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07039
18039
28339
38339

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.3s16214×body80valid

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