Details

Time bar (total: 2.0s)

sample18.0ms

Algorithm
intervals
Results
10.0ms338×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
0266
1556
21226
32056
42535
53075
63635
74985
89115
911875
1011885
1111885

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.1b
(* (* x 3.0) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-+l+ flip3-+ diff-log associate-*r/ sum-log *-commutative flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in associate-+l- flip3-- distribute-lft-in flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
7.0ms
(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
4.0ms
(- (* (* x 3.0) x) (* x 4.0))
9.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms
(* (* x 3.0) x)

series153.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
71.0ms
(- (* (* x 3.0) x) (* x 4.0))
31.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms
(* (* x 3.0) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0318506
11331451
25001423

prune120.0ms

Filtered
81 candidates to 53 candidates (65.4%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New75681
Fresh000
Picked101
Done000
Total76682

Merged error: 0.0b

Counts
82 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
0.2b
(* 9.0 (pow x 2))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log add-log-exp
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube unswap-sqr
3×associate-*l* prod-exp
2×pow1 diff-log unpow2 sqr-pow
1×pow-to-exp sub-neg flip3-- pow-exp associate--l+ sum-log *-commutative flip-- cbrt-unprod
Counts
2 → 41
Calls
2 calls:
9.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
6.0ms
(* 9.0 (pow x 2))

series47.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
24.0ms
(* 9.0 (pow x 2))

simplify156.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
0193233
1766207
24099201
35003200

prune78.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh145
Picked011
Done000
Total46753

Merged error: 0b

Counts
53 → 7

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (- (* x 9.0) 12.0)) 3.0)
0.0b
(- (* x 9.0) 12.0)
0.1b
(* x (- (* x 9.0) 12.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg *-un-lft-identity add-cbrt-cube
4×distribute-rgt-in associate-+l+ distribute-lft-in
3×associate-*r* associate-*l*
2×flip3-- associate-*r/ flip--
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
3 → 51
Calls
3 calls:
6.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
3.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series122.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
36.0ms
(- (* x 9.0) 12.0)
63.0ms
(* x (- (* x 9.0) 12.0))

simplify114.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0206296
1748265
23793261
35001261

prune76.0ms

Filtered
60 candidates to 39 candidates (65.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh055
Picked011
Done011
Total60767

Merged error: 0b

Counts
67 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
0.2b
(* (cbrt 9.0) (pow x 2))
0.2b
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
21×prod-exp
19×add-sqr-sqrt
10×add-cbrt-cube
9×associate-*r* cbrt-unprod
8×pow1 add-log-exp unswap-sqr
7×cbrt-prod add-cube-cbrt *-un-lft-identity associate-*l*
5×unpow-prod-down
3×pow-to-exp pow-prod-down pow-exp unpow2 sqr-pow
2×diff-log *-commutative
1×sub-neg flip3-- associate--l+ sum-log flip--
Counts
3 → 72
Calls
3 calls:
12.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
6.0ms
(* (cbrt 9.0) (pow x 2))
10.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
47.0ms
(* (cbrt 9.0) (pow x 2))
87.0ms
(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify48.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0294646
11211515
25001469

prune109.0ms

Filtered
81 candidates to 44 candidates (54.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh044
Picked011
Done022
Total81788

Merged error: 0b

Counts
88 → 7

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample459.0ms

Algorithm
intervals
Results
343.0ms10649×body80valid

Profiling

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