Details

Time bar (total: 1.2s)

analyze4.0ms

Algorithm
search

sample19.0ms

Algorithm
intervals
Results
13.0ms256×body80valid
0.0ms1×body80invalid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (11.0ms)

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

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
4×associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in
2×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×flip3-+ diff-log flip-+
Counts
3 → 58
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
5.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
6.0ms
(* x (- (* x 3.0) 4.0))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- (* x 3.0) 4.0)
3.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))
6.0ms
(* x (- (* x 3.0) 4.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0267361
11213324
25002323

prune96.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New62567
Fresh101
Picked101
Done000
Total64569

Merged error: 0.0b

Counts
69 → 5

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))

rewrite12.0ms

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:
6.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
5.0ms
(* 9.0 (pow x 2))

series8.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
3.0ms
(* 9.0 (pow x 2))

simplify135.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0193239
1761207
23883201
35001200

prune65.0ms

Filtered
30 candidates to 47 candidates (-56.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh314
Picked011
Done000
Total48452

Merged error: 0b

Counts
52 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×sub-neg associate-*r* associate-*l*
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(- (* 9.0 x) 12.0)
6.0ms
(* x (- (* 9.0 x) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- (* 9.0 x) 12.0)
5.0ms
(* x (- (* 9.0 x) 12.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0135189
1536167
22705166
35001166

prune45.0ms

Filtered
26 candidates to 42 candidates (-61.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done011
Total42446

Merged error: 0b

Counts
46 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
12×associate-*l*
10×prod-exp sqrt-prod add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*r*
8×add-log-exp unswap-sqr
5×pow1 unpow-prod-down
4×cbrt-unprod
3×unpow2 sqr-pow
2×pow-to-exp diff-log pow-exp *-commutative
1×sub-neg flip3-- pow-prod-down associate--l+ sum-log flip--
Counts
3 → 70
Calls
3 calls:
9.0ms
(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
6.0ms
(* (sqrt 9.0) (pow x 2))
8.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(- (+ (* (sqrt 9.0) (* (sqrt 9.0) (pow x 2))) 3.0) (* 12.0 x))
7.0ms
(* (sqrt 9.0) (pow x 2))
7.0ms
(* (sqrt 9.0) (* (sqrt 9.0) (pow x 2)))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0259502
11126405
25001388

prune100.0ms

Filtered
46 candidates to 79 candidates (-71.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh011
Picked011
Done022
Total79483

Merged error: 0b

Counts
83 → 4

regimes33.0ms

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
0135
1135

end0.0ms

analyze4.0ms

Algorithm
search

sample324.0ms

Algorithm
intervals
Results
242.0ms8000×body80valid
0.0ms4×body80invalid

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