Details

Time bar (total: 6.5s)

sample94.0ms

Algorithm
intervals
Results
42.0ms501×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06615
120414
263114
3146814
4246414
5390914
6500114

prune14.0ms

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: 6.7b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* (* j 27.0) k)
4.4b
(* (* (* x 18.0) y) z)
5.0b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

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

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 18.0) y)
3.0ms
(* (* j 27.0) k)
6.0ms
(* (* (* x 18.0) y) z)
24.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0406472
12141393
25001393

prune156.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New87693
Fresh000
Picked101
Done000
Total88694

Merged error: 2.4b

Counts
94 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 18.0) y)
0.2b
(* j (* 27.0 k))
4.4b
(* (* (* x 18.0) y) z)
5.0b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

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
(* (* x 18.0) y)
4.0ms
(* j (* 27.0 k))
6.0ms
(* (* (* x 18.0) y) z)
8.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (* x 18.0) y)
3.0ms
(* j (* 27.0 k))
6.0ms
(* (* (* x 18.0) y) z)
26.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0398471
12030392
25001392

prune141.0ms

Filtered
93 candidates to 53 candidates (43.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New91293
Fresh055
Picked101
Done000
Total92799

Merged error: 2.4b

Counts
99 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt j)
4.4b
(* (* (* x 18.0) y) z)
5.0b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite18.0ms

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)
6.0ms
(* (* (* x 18.0) y) z)
8.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt j)
21.0ms
(cbrt j)
8.0ms
(* (* (* x 18.0) y) z)
24.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0336430
11516373
25001351

prune138.0ms

Filtered
79 candidates to 51 candidates (35.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh066
Picked011
Done000
Total78886

Merged error: 2.4b

Counts
86 → 8

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt j)
0.6b
(cbrt (* (cbrt j) (cbrt j)))
4.4b
(* (* (* x 18.0) y) z)
5.0b
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×cbrt-prod 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 → 65
Calls
4 calls:
1.0ms
(cbrt j)
4.0ms
(cbrt (* (cbrt j) (cbrt j)))
6.0ms
(* (* (* x 18.0) y) z)
10.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt j)
33.0ms
(cbrt (* (cbrt j) (cbrt j)))
6.0ms
(* (* (* x 18.0) y) z)
24.0ms
(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0390457
11652394
25001371

prune97.0ms

Filtered
77 candidates to 51 candidates (33.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh066
Picked011
Done011
Total77885

Merged error: 2.4b

Counts
85 → 8

regimes2.2s

Accuracy

35.6% (2.4b remaining)

Error of 4.6b against oracle of 2.2b and baseline of 5.9b

bsearch97.0ms

Steps
ItersRangePoint
5
9.013129924886636e-97
2.698569487980046e-96
2.0332588781880575e-96
9
-3.263298181294446e-117
-2.153923393440403e-124
-2.6551239798753636e-123

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07444
18444
28744
38744

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.3s16197×body80valid

Profiling

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