Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
7.0ms320×body80valid
1.0ms12×body1280valid
0.0ms4×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1324
2814
31664
42254
52274
62274

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (- 2.0 (* x 3.0)))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×prod-diff
6×associate-*r*
5×distribute-rgt-in distribute-lft-in add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg flip-- log1p-expm1-u
2×associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 74
Calls
3 calls:
3.0ms
(- 2.0 (* x 3.0))
5.0ms
(* 3.0 (- 2.0 (* x 3.0)))
6.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

series185.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- 2.0 (* x 3.0))
58.0ms
(* 3.0 (- 2.0 (* x 3.0)))
87.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify41.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0253437
11184374
25002369

prune123.0ms

Filtered
83 candidates to 54 candidates (65.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New74983
Fresh000
Picked101
Done000
Total75984

Merged error: 0.0b

Counts
84 → 9

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* x (- 6.0 (* 9.0 x)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×prod-diff
8×add-cube-cbrt *-un-lft-identity
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×sub-neg fma-neg associate-*r* associate-*l*
2×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 52
Calls
2 calls:
3.0ms
(- 6.0 (* 9.0 x))
5.0ms
(* x (- 6.0 (* 9.0 x)))

series103.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- 6.0 (* 9.0 x))
69.0ms
(* x (- 6.0 (* 9.0 x)))

simplify106.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (101.0ms)

IterNodesCost
0173294
1705256
23896252
35002250

prune89.0ms

Filtered
58 candidates to 37 candidates (63.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52658
Fresh628
Picked101
Done000
Total59867

Merged error: 0.0b

Counts
67 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 6.0 (* 9.0 x))
0.1b
(* x (- 6.0 (* 9.0 x)))
52.2b
(fma (- x) 9.0 (* x 9.0))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity prod-diff
5×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*r* associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 62
Calls
3 calls:
3.0ms
(- 6.0 (* 9.0 x))
5.0ms
(* x (- 6.0 (* 9.0 x)))
1.0ms
(fma (- x) 9.0 (* x 9.0))

series148.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(- 6.0 (* 9.0 x))
68.0ms
(* x (- 6.0 (* 9.0 x)))
41.0ms
(fma (- x) 9.0 (* x 9.0))

simplify113.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0183344
1749299
24071295
35001293

prune127.0ms

Filtered
71 candidates to 48 candidates (67.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh077
Picked101
Done000
Total71879

Merged error: 0.0b

Counts
79 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x 6.0) (* x (- (* 9.0 x))))
0.2b
(* x (- (* 9.0 x)))
52.2b
(fma (- x) 9.0 (* x 9.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×associate-*r*
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×expm1-log1p-u associate-*l* distribute-rgt-neg-out log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ fma-udef distribute-lft-out unswap-sqr
Counts
3 → 51
Calls
3 calls:
4.0ms
(+ (* x 6.0) (* x (- (* 9.0 x))))
5.0ms
(* x (- (* 9.0 x)))
1.0ms
(fma (- x) 9.0 (* x 9.0))

series144.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (* x 6.0) (* x (- (* 9.0 x))))
24.0ms
(* x (- (* 9.0 x)))
45.0ms
(fma (- x) 9.0 (* x 9.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0203277
11054242
25001238

prune117.0ms

Filtered
60 candidates to 47 candidates (78.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New59160
Fresh167
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

regimes24.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209
1209

end0.0ms

sample436.0ms

Algorithm
intervals
Results
237.0ms9866×body80valid
38.0ms359×body1280valid
24.0ms249×body640valid
12.0ms134×body320valid
3.0ms73×body160valid

Profiling

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