Details

Time bar (total: 6.6s)

sample85.0ms

Algorithm
intervals
Results
46.0ms532×body80valid

simplify143.0ms

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: 4.9b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (* j 27.0) k)
21.0ms
(* (* x 18.0) y)
108.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms
(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0406472
12141393
25002393

prune299.0ms

Filtered
93 candidates to 53 candidates (57.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh000
Picked101
Done000
Total86894

Merged error: 1.8b

Counts
94 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* j (* 27.0 k))
0.4b
(* (* x 18.0) y)
2.7b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.6b
(* (* (* 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
(* j (* 27.0 k))
5.0ms
(* (* x 18.0) y)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series172.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* j (* 27.0 k))
18.0ms
(* (* x 18.0) y)
111.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms
(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0398471
12030392
25001392

prune277.0ms

Filtered
93 candidates to 53 candidates (57.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh077
Picked011
Done000
Total9110101

Merged error: 1.8b

Counts
101 → 10

localize29.0ms

Local error

Found 4 expressions with local error:

5.6b
(* (* (* x 18.0) y) z)
17.4b
(cbrt (* (* (* x 18.0) y) z))
17.4b
(cbrt (* (* (* x 18.0) y) z))
17.4b
(cbrt (* (* (* x 18.0) y) z))

rewrite23.0ms

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)
5.0ms
(cbrt (* (* (* x 18.0) y) z))
5.0ms
(cbrt (* (* (* x 18.0) y) z))
5.0ms
(cbrt (* (* (* x 18.0) y) z))

series342.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* (* x 18.0) y) z)
104.0ms
(cbrt (* (* (* x 18.0) y) z))
105.0ms
(cbrt (* (* (* x 18.0) y) z))
106.0ms
(cbrt (* (* (* x 18.0) y) z))

simplify37.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0242374
11048319
25002310

prune321.0ms

Filtered
60 candidates to 49 candidates (81.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh088
Picked011
Done011
Total601070

Merged error: 1.8b

Counts
70 → 10

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
2.7b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.6b
(* (* (* x 18.0) y) z)

rewrite21.0ms

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 j)
1.0ms
(cbrt j)
9.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms
(* (* (* x 18.0) y) z)

series478.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt j)
169.0ms
(cbrt j)
110.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms
(* (* (* x 18.0) y) z)

simplify50.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0316406
11497351
25001345

prune307.0ms

Filtered
79 candidates to 55 candidates (69.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New77279
Fresh167
Picked101
Done022
Total791089

Merged error: 1.7b

Counts
89 → 10

regimes1.1s

Accuracy

53.2% (1.6b remaining)

Error of 3.7b against oracle of 2.1b and baseline of 5.6b

bsearch276.0ms

Steps
ItersRangePoint
9
3.4328389573923766e-69
1.4305264321498957e-62
8.986595129048591e-63
8
-1.970171960536304e-55
-1.4208440616620216e-59
-1.6446356023100528e-57

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06428
16428

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.4s16227×body80valid

Profiling

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