Details

Time bar (total: 1.0s)

analyze3.0ms

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0126
1126

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 32.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

31.0b
(sqrt (* x (+ x x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1
2×sqrt-pow1 sqrt-div associate-*r/
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-+ add-log-exp
Counts
1 → 13
Calls
1 calls:
4.0ms
(sqrt (* x (+ x x)))

series4.0ms

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

simplify78.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
0482591
1482591

prune35.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617

Merged error: 0.1b

Counts
17 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* x (neg (sqrt 2)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
16×associate-*r*
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×distribute-lft-neg-in distribute-rgt-neg-in sqrt-prod
3×pow1 add-exp-log associate-*l* add-cbrt-cube
1×neg-mul-1 pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
6.0ms
(* x (neg (sqrt 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (neg (sqrt 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05095196

prune51.0ms

Filtered
21 candidates to 35 candidates (-66.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh224
Picked011
Done011
Total34741

Merged error: 0.1b

Counts
41 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
0.2b
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
11×add-cbrt-cube
10×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
6×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l* distribute-rgt-neg-out
3×sqrt-prod
2×*-commutative add-log-exp
1×distribute-lft-neg-out
Counts
2 → 47
Calls
2 calls:
8.0ms
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
11.0ms
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
5.0ms
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

simplify43.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05499407

prune85.0ms

Filtered
31 candidates to 53 candidates (-71.0%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New52153
Fresh044
Picked011
Done022
Total52860

Merged error: 0.0b

Counts
60 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2)))))
0.3b
(* (* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
13×associate-*r*
12×sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l*
3×distribute-lft-neg-out
2×*-commutative distribute-rgt-neg-out add-log-exp
Counts
2 → 50
Calls
2 calls:
10.0ms
(* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2)))))
15.0ms
(* (* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))

series43.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2)))))
5.0ms
(* (* x (* (neg (pow (cbrt (sqrt 2)) 2)) (sqrt (cbrt (sqrt 2))))) (sqrt (cbrt (sqrt 2))))

simplify51.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05207482

prune87.0ms

Filtered
32 candidates to 56 candidates (-75.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done033
Total56864

Merged error: 0.0b

Counts
64 → 8

regimes49.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 31.8b

bsearch24.0ms

Steps
ItersRangePoint
11
-2.887711932861174e-289
1.702355469569593e-305
3.59275856969827e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03829
13829

end0.0ms

analyze3.0ms

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

sample279.0ms

Algorithm
intervals
Results
188.0ms8000×body80valid

Profiling

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