Details

Time bar (total: 1.6s)

analyze6.0ms

Algorithm
search

sample22.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

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

prune13.0ms

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
6×associate-*r* associate-*l*
5×distribute-rgt-in sub-neg distribute-lft-in
4×associate-+r+ associate-*r/
2×flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
1×+-commutative diff-log sum-log
Counts
4 → 73
Calls
4 calls:
3.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
4.0ms
(- (* x 3.0) 4.0)
6.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1.0 (* x (- (* x 3.0) 4.0)))
3.0ms
(- (* x 3.0) 4.0)
5.0ms
(* x (- (* x 3.0) 4.0))
3.0ms
(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0296472
11292423
25002422

prune108.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New79685
Fresh101
Picked101
Done000
Total81687

Merged error: 0.0b

Counts
87 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down unswap-sqr
3×pow1 associate-*l* prod-exp
2×diff-log sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg flip3-- flip3-+ pow-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+
Counts
3 → 52
Calls
3 calls:
4.0ms
(+ (* 9.0 (pow x 2)) 3.0)
6.0ms
(- (+ (* 9.0 (pow x 2)) 3.0) (* 12.0 x))
7.0ms
(* 9.0 (pow x 2))

series11.0ms

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

simplify182.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0237299
1891276
24637269
35001269

prune82.0ms

Filtered
40 candidates to 61 candidates (-52.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New60161
Fresh235
Picked011
Done000
Total62567

Merged error: 0.0b

Counts
67 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+l+ *-un-lft-identity distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
7.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
8.0ms
(* x (- (* x 9.0) 12.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* x (- (* x 9.0) 12.0)) 3.0)
6.0ms
(* x (- (* x 9.0) 12.0))

simplify107.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0187237
1682211
23637208
35001208

prune55.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New43245
Fresh123
Picked011
Done011
Total44650

Merged error: 0b

Counts
50 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.1b
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
0.2b
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
4.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
6.0ms
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

series56.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
15.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
12.0ms
(cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0)))))
16.0ms
(* (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))) (cbrt (* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))))

simplify60.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04881441
119381340
250011286

prune276.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done022
Total84690

Merged error: 0b

Counts
90 → 6

regimes37.0ms

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

analyze4.0ms

Algorithm
search

sample362.0ms

Algorithm
intervals
Results
269.0ms8000×body80valid

Profiling

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