Details

Time bar (total: 6.8s)

sample96.0ms

Algorithm
intervals
Results
51.0ms536×body80valid

simplify152.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune10.0ms

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: 5.7b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.3b
(* (* j 27.0) k)
4.3b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b
(* (* (* x 18.0) y) z)

rewrite28.0ms

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)
5.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series193.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* x 18.0) y)
17.0ms
(* (* j 27.0) k)
131.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms
(* (* (* x 18.0) y) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406472
12141393
25001393

prune321.0ms

Filtered
93 candidates to 53 candidates (57.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New831093
Fresh000
Picked101
Done000
Total841094

Merged error: 3.5b

Counts
94 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 18.0 y))
0.3b
(* (* j 27.0) k)
4.3b
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.7b
(* (* x (* 18.0 y)) z)

rewrite28.0ms

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
(* x (* 18.0 y))
5.0ms
(* (* j 27.0) k)
9.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
6.0ms
(* (* x (* 18.0 y)) z)

series174.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (* 18.0 y))
16.0ms
(* (* j 27.0) k)
109.0ms
(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
30.0ms
(* (* x (* 18.0 y)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0404472
11945393
25002393

prune281.0ms

Filtered
93 candidates to 50 candidates (53.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh099
Picked011
Done000
Total9211103

Merged error: 3.5b

Counts
103 → 11

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
4.3b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.7b
(* (* (* x 18.0) y) z)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod associate-*r*
4×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in pow1/3 associate-*r/ *-commutative
1×flip3-- flip-- unswap-sqr
Counts
4 → 67
Calls
4 calls:
1.0ms
(cbrt k)
1.0ms
(cbrt k)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series489.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt k)
179.0ms
(cbrt k)
111.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms
(* (* (* x 18.0) y) z)

simplify51.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0316406
11497351
25001345

prune491.0ms

Filtered
79 candidates to 55 candidates (69.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New77279
Fresh099
Picked101
Done011
Total781290

Merged error: 3.5b

Counts
90 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

4.7b
(* (* (* x 18.0) y) z)
6.6b
(cbrt (* (* j 27.0) k))
6.6b
(cbrt (* (* j 27.0) k))
6.6b
(cbrt (* (* j 27.0) k))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×cbrt-prod pow1/3 associate-*r*
1×associate-*l* *-commutative
Counts
4 → 48
Calls
4 calls:
7.0ms
(* (* (* x 18.0) y) z)
4.0ms
(cbrt (* (* j 27.0) k))
4.0ms
(cbrt (* (* j 27.0) k))
4.0ms
(cbrt (* (* j 27.0) k))

series295.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* (* x 18.0) y) z)
90.0ms
(cbrt (* (* j 27.0) k))
89.0ms
(cbrt (* (* j 27.0) k))
91.0ms
(cbrt (* (* j 27.0) k))

simplify38.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0235317
1974268
25002238

prune244.0ms

Filtered
60 candidates to 44 candidates (73.3%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh01010
Picked101
Done011
Total591372

Merged error: 3.5b

Counts
72 → 13

regimes1.1s

Accuracy

51.4% (1.8b remaining)

Error of 4.0b against oracle of 2.3b and baseline of 5.9b

bsearch297.0ms

Steps
ItersRangePoint
8
2.078252954909724e+107
1.202267457147875e+111
2.3246334217861476e+108
10
-8.025944065745907e+18
-579615.4042872806
-20021076155422624.0

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06428
16428

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s16263×body80valid

Profiling

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