Details

Time bar (total: 1.6s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0106
1106

prune5.0ms

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: 27.8b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

26.9b
(sqrt (* (* 2.0 x) x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
3×sqrt-pow1 pow-prod-down
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 12
Calls
1 calls:
4.0ms
(sqrt (* (* 2.0 x) x))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(sqrt (* (* 2.0 x) x))

simplify114.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0467580
1467580

prune44.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9615
Fresh000
Picked011
Done000
Total9716

Merged error: 0.1b

Counts
16 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (* 2.0 (* x x))))
0.5b
(* (sqrt (sqrt (* 2.0 (* x x)))) (sqrt (sqrt (* 2.0 (* x x)))))
26.9b
(sqrt (* 2.0 (* x x)))
26.9b
(sqrt (* 2.0 (* x x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
158×pow1
154×sqrt-pow1
82×pow-prod-down
33×sqrt-prod
26×add-sqr-sqrt
24×pow1/2
21×pow-prod-up
13×add-cube-cbrt *-un-lft-identity pow-sqr
9×swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
4×add-log-exp unswap-sqr
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
7.0ms
(sqrt (sqrt (* 2.0 (* x x))))
16.0ms
(* (sqrt (sqrt (* 2.0 (* x x)))) (sqrt (sqrt (* 2.0 (* x x)))))
4.0ms
(sqrt (* 2.0 (* x x)))
4.0ms
(sqrt (* 2.0 (* x x)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (sqrt (* 2.0 (* x x))))
4.0ms
(* (sqrt (sqrt (* 2.0 (* x x)))) (sqrt (sqrt (* 2.0 (* x x)))))
4.0ms
(sqrt (* 2.0 (* x x)))
4.0ms
(sqrt (* 2.0 (* x x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
04936775
14936775

prune194.0ms

Filtered
66 candidates to 142 candidates (-115.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1366142
Fresh235
Picked101
Done011
Total13910149

Merged error: 0.0b

Counts
149 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (fabs (* x (sqrt 2.0))))
0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
0.4b
(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
0.4b
(* x (sqrt 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×sqrt-prod
19×pow1
18×associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* add-cbrt-cube
11×pow-prod-down
6×sqrt-pow1 pow1/2 unswap-sqr
5×prod-exp cbrt-unprod
4×add-log-exp
3×sqrt-unprod *-commutative
1×rem-sqrt-square
Counts
4 → 92
Calls
4 calls:
1.0ms
(sqrt (fabs (* x (sqrt 2.0))))
9.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
6.0ms
(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
5.0ms
(* x (sqrt 2.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (fabs (* x (sqrt 2.0))))
11.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x))))
7.0ms
(* (sqrt (fabs (* x (sqrt 2.0)))) (sqrt (fabs x)))
4.0ms
(* x (sqrt 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049651063
149651063

prune207.0ms

Filtered
61 candidates to 104 candidates (-70.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh268
Picked101
Done011
Total10410114

Merged error: 0b

Counts
114 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (fabs (* x (sqrt 2.0))))
0.3b
(* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0)))))
0.4b
(* (* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0))))) (sqrt (fabs x)))
0.4b
(* x (sqrt 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
31×sqrt-prod
19×pow1
18×associate-*r*
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*l* add-cbrt-cube
11×pow-prod-down
8×unswap-sqr
6×sqrt-pow1 pow1/2
5×prod-exp cbrt-unprod
4×add-log-exp
3×sqrt-unprod *-commutative
1×rem-sqrt-square
Counts
4 → 94
Calls
4 calls:
1.0ms
(sqrt (fabs (* x (sqrt 2.0))))
7.0ms
(* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0)))))
9.0ms
(* (* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0))))) (sqrt (fabs x)))
5.0ms
(* x (sqrt 2.0))

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (fabs (* x (sqrt 2.0))))
7.0ms
(* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0)))))
12.0ms
(* (* (sqrt (sqrt 2.0)) (sqrt (fabs (* x (sqrt 2.0))))) (sqrt (fabs x)))
4.0ms
(* x (sqrt 2.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049901093
149901093

prune173.0ms

Filtered
61 candidates to 106 candidates (-73.8%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1042106
Fresh268
Picked011
Done011
Total10610116

Merged error: 0b

Counts
116 → 10

regimes179.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01414
11414

end0.0ms

sample293.0ms

Algorithm
intervals
Results
195.0ms8000×body80valid

Profiling

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