Details

Time bar (total: 1.4s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
073911
173911

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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 3 expressions with local error:

0.0b
(- (* (* x 3.0) x) (* x 4.0))
0.1b
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b
(* (* x 3.0) x)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
7×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ diff-log flip-- flip-+ distribute-lft-out unswap-sqr
Counts
3 → 52
Calls
3 calls:
5.0ms
(- (* (* x 3.0) x) (* x 4.0))
10.0ms
(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
5.0ms
(* (* x 3.0) x)

series13.0ms

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

simplify30.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05342593

prune87.0ms

Filtered
41 candidates to 61 candidates (-48.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New57461
Fresh000
Picked011
Done000
Total57562

Merged error: 0.0b

Counts
62 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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×flip3-- associate-*r/ flip--
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 33
Calls
2 calls:
4.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (* x 9.0) 12.0)
6.0ms
(* x (- (* x 9.0) 12.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04943329
14943329

prune54.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New38139
Fresh033
Picked011
Done011
Total38644

Merged error: 0b

Counts
44 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log
15×add-sqr-sqrt
13×add-cbrt-cube
10×associate-*r* pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt *-un-lft-identity
7×associate-*l*
6×add-log-exp
4×cbrt-prod associate-*r/ associate-*l/
3×sub-neg *-commutative unswap-sqr
2×flip3-- flip3-+ flip-- flip-+
1×distribute-rgt-in distribute-lft-in diff-log
Counts
4 → 81
Calls
4 calls:
4.0ms
(- (* x 3.0) 4.0)
15.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
6.0ms
(* x (- (* x 3.0) 4.0))
11.0ms
(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

series20.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- (* x 3.0) 4.0)
6.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0)))
5.0ms
(* x (- (* x 3.0) 4.0))
5.0ms
(* (+ (* x (- (* x 3.0) 4.0)) 1.0) (cbrt 3.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050411052

prune141.0ms

Filtered
58 candidates to 93 candidates (-60.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh033
Picked011
Done022
Total93699

Merged error: 0b

Counts
99 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
19×associate-*r*
18×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
14×*-un-lft-identity sqrt-div
12×add-cube-cbrt associate-*r/
8×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
7×flip3-+ flip-+
4×frac-times *-commutative add-log-exp
3×unswap-sqr
2×sub-neg associate-*l/
1×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out
Counts
4 → 94
Calls
4 calls:
19.0ms
(* (* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
7.0ms
(* x (- (* x 3.0) 4.0))
11.0ms
(* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0)))
5.0ms
(* (* x 3.0) x)

series18.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0))) (sqrt (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)))
5.0ms
(* x (- (* x 3.0) 4.0))
6.0ms
(* 3.0 (sqrt (+ (* x (- (* x 3.0) 4.0)) 1.0)))
3.0ms
(* (* x 3.0) x)

simplify45.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049851432
149851432

prune155.0ms

Filtered
66 candidates to 106 candidates (-60.6%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done033
Total1066112

Merged error: 0b

Counts
112 → 6

regimes151.0ms

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 (1.0ms)

IterNodesCost
0219
1219

end0.0ms

sample343.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid
0.0ms1×body80invalid

Profiling

Loading profile data...