Details

Time bar (total: 2.7s)

sample28.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify716.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
048116
148116

prune10.0ms

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: 31.5b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2.0) 2)
30.4b
(sqrt (* (pow x 2.0) 2))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
7×add-exp-log associate-*l*
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube
3×pow1 associate-*r* prod-exp unswap-sqr
2×add-log-exp sqr-pow
1×pow-to-exp sqrt-pow1 pow1/2 pow-exp sqrt-prod *-commutative cbrt-unprod
Counts
2 → 35
Calls
2 calls:
5.0ms
(* (pow x 2.0) 2)
5.0ms
(sqrt (* (pow x 2.0) 2))

series142.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (pow x 2.0) 2)
84.0ms
(sqrt (* (pow x 2.0) 2))

simplify57.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04893307
14893307

prune87.0ms

Filtered
32 candidates to 41 candidates (-28.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New35641
Fresh000
Picked011
Done000
Total35742

Merged error: 15.6b

Counts
42 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2) (pow x 1.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
7×associate-*r*
6×add-exp-log associate-*l* sqrt-prod unswap-sqr
5×add-cube-cbrt unpow-prod-down *-un-lft-identity
3×prod-exp add-cbrt-cube sqr-pow
1×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 31
Calls
1 calls:
7.0ms
(* (sqrt 2) (pow x 1.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(* (sqrt 2) (pow x 1.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05051305

prune76.0ms

Filtered
20 candidates to 34 candidates (-70.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New28634
Fresh055
Picked101
Done101
Total301141

Merged error: 15.5b

Counts
41 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (pow x 1.0) (cbrt (sqrt 2)))
0.3b
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
22×add-sqr-sqrt
21×prod-exp
12×cbrt-prod
10×associate-*r*
9×add-cbrt-cube cbrt-unprod unswap-sqr
8×associate-*l*
7×pow1 add-cube-cbrt *-un-lft-identity
6×unpow-prod-down sqrt-prod
4×sqr-pow
3×pow-to-exp pow-prod-down pow-exp
2×*-commutative add-log-exp
Counts
2 → 61
Calls
2 calls:
9.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
11.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

series141.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (pow x 1.0) (cbrt (sqrt 2)))
60.0ms
(* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (pow x 1.0) (cbrt (sqrt 2))))

simplify59.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04848629
14848629

prune148.0ms

Filtered
39 candidates to 67 candidates (-71.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh1910
Picked011
Done000
Total661278

Merged error: 15.5b

Counts
78 → 12

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (pow x 1.0) (sqrt (sqrt 2)))
0.3b
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
25×add-sqr-sqrt
17×add-exp-log
16×associate-*l*
10×add-cube-cbrt *-un-lft-identity associate-*r* prod-exp
9×add-cbrt-cube unswap-sqr
6×unpow-prod-down
4×pow1 cbrt-unprod sqr-pow
2×pow-to-exp pow-exp *-commutative add-log-exp
1×pow-prod-down
Counts
2 → 62
Calls
2 calls:
7.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
9.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (pow x 1.0) (sqrt (sqrt 2)))
61.0ms
(* (sqrt (sqrt 2)) (* (pow x 1.0) (sqrt (sqrt 2))))

simplify44.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05215655

prune101.0ms

Filtered
41 candidates to 68 candidates (-65.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New66268
Fresh3710
Picked011
Done011
Total691180

Merged error: 15.5b

Counts
80 → 11

regimes165.0ms

Accuracy

98.2% (0.3b remaining)

Error of 15.7b against oracle of 15.4b and baseline of 31.6b

bsearch18.0ms

Steps
ItersRangePoint
9
-7.676761036242019e-305
3.3654627424431923e-307
-2.022323315492e-311

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01926
11926

end0.0ms

sample580.0ms

Algorithm
intervals
Results
431.0ms8006×body80valid

Profiling

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