Details

Time bar (total: 999.0ms)

sample17.0ms

Algorithm
intervals
Results
10.0ms257×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0126
1126

prune6.0ms

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: 29.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

28.4b
(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)))

simplify48.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0474091
1474091

prune33.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.1b

Counts
17 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(* x (neg (sqrt 2)))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* x (neg (sqrt 2)))

simplify51.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05095196

prune58.0ms

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

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New31435
Fresh123
Picked011
Done011
Total32840

Merged error: 0.0b

Counts
40 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
0.3b
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

rewrite19.0ms

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:
7.0ms
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
10.0ms
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2)))))
5.0ms
(* (* x (* (cbrt (sqrt 2)) (neg (cbrt (sqrt 2))))) (cbrt (sqrt 2)))

simplify42.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05499407

prune92.0ms

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

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New53053
Fresh055
Picked011
Done022
Total53861

Merged error: 0.0b

Counts
61 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (neg (sqrt (sqrt 2))))
0.3b
(* (* x (neg (sqrt (sqrt 2)))) (sqrt (sqrt 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*r*
27×sqrt-prod
15×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×*-commutative distribute-rgt-neg-out add-log-exp
1×distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
2 → 63
Calls
2 calls:
7.0ms
(* x (neg (sqrt (sqrt 2))))
9.0ms
(* (* x (neg (sqrt (sqrt 2)))) (sqrt (sqrt 2)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (neg (sqrt (sqrt 2))))
5.0ms
(* (* x (neg (sqrt (sqrt 2)))) (sqrt (sqrt 2)))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05128455

prune91.0ms

Filtered
36 candidates to 69 candidates (-91.7%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New69069
Fresh044
Picked011
Done033
Total69877

Merged error: 0.0b

Counts
77 → 8

regimes53.0ms

Accuracy

99% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 30.6b

bsearch16.0ms

Steps
ItersRangePoint
11
-2.738751220668259e-280
3.6726111983196854e-305
1.81753886422396e-310

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03225
13225

end0.0ms

sample316.0ms

Algorithm
intervals
Results
190.0ms8001×body80valid

Profiling

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