Details

Time bar (total: 3.1s)

sample32.0ms

Algorithm
intervals
Results
17.0ms257×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (61.0ms)

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: 28.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow x 2.0)
27.0b
(sqrt (* (pow x 2.0) 2))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×add-exp-log unpow-prod-down pow-unpow
2×add-cbrt-cube add-log-exp
1×pow-to-exp pow-pow sqrt-pow1 pow1/2 pow-exp sqrt-prod sqr-pow
Counts
2 → 27
Calls
2 calls:
2.0ms
(pow x 2.0)
6.0ms
(sqrt (* (pow x 2.0) 2))

series116.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(pow x 2.0)
91.0ms
(sqrt (* (pow x 2.0) 2))

simplify25.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05186195

prune82.0ms

Filtered
22 candidates to 33 candidates (-50.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New25833
Fresh000
Picked101
Done000
Total26834

Merged error: 12.4b

Counts
34 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow x 2.0)
27.0b
(pow (* (pow x 2.0) 2) 1/2)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
6×pow-unpow pow-exp
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 unpow-prod-down
3×pow-to-exp prod-exp
2×pow-pow add-cbrt-cube add-log-exp sqr-pow
1×unpow1/2
Counts
2 → 36
Calls
2 calls:
2.0ms
(pow x 2.0)
5.0ms
(pow (* (pow x 2.0) 2) 1/2)

series131.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(pow x 2.0)
108.0ms
(pow (* (pow x 2.0) 2) 1/2)

simplify27.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
05291267

prune79.0ms

Filtered
25 candidates to 42 candidates (-68.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh257
Picked011
Done000
Total41950

Merged error: 12.4b

Counts
50 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow x (neg 2.0))
0.2b
(/ 1 (pow (pow x (neg 2.0)) 1.0))
27.0b
(sqrt (* 2 (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×unpow-prod-down
33×times-frac
31×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log
13×pow-exp
11×associate-/r*
10×pow-unpow div-exp
9×sqr-pow
7×pow-to-exp
5×pow1 rec-exp 1-exp add-cbrt-cube
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l* add-log-exp
1×cbrt-undiv neg-sub0 pow-neg neg-mul-1 pow-flip pow-pow frac-2neg sqrt-pow1 pow1/2 clear-num sqrt-prod div-inv inv-pow pow-sub
Counts
3 → 111
Calls
3 calls:
3.0ms
(pow x (neg 2.0))
7.0ms
(/ 1 (pow (pow x (neg 2.0)) 1.0))
11.0ms
(sqrt (* 2 (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(pow x (neg 2.0))
86.0ms
(/ 1 (pow (pow x (neg 2.0)) 1.0))
92.0ms
(sqrt (* 2 (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050021279

prune222.0ms

Filtered
67 candidates to 120 candidates (-79.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh167
Picked011
Done011
Total1209129

Merged error: 12.4b

Counts
129 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow x (neg 2.0))
0.2b
(/ 1 (pow (pow x (neg 2.0)) 1.0))
0.4b
(* (sqrt 2) (sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))
27.0b
(sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
234×unpow-prod-down
148×add-sqr-sqrt
129×times-frac
125×sqrt-prod
94×*-un-lft-identity
79×add-cube-cbrt
44×associate-*r*
38×sqr-pow
28×unswap-sqr
21×add-exp-log
13×rem-sqrt-square pow-exp
11×associate-/r*
10×pow-unpow div-exp
8×add-cbrt-cube
7×pow1 pow-to-exp
6×associate-*l*
5×rec-exp 1-exp
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/2 div-inv associate-/l*
2×pow-prod-down
1×cbrt-undiv neg-sub0 pow-neg neg-mul-1 pow-flip pow-pow frac-2neg sqrt-pow1 sqrt-unprod prod-exp clear-num *-commutative cbrt-unprod inv-pow pow-sub
Counts
4 → 255
Calls
4 calls:
3.0ms
(pow x (neg 2.0))
10.0ms
(/ 1 (pow (pow x (neg 2.0)) 1.0))
24.0ms
(* (sqrt 2) (sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))
12.0ms
(sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0))

series287.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(pow x (neg 2.0))
85.0ms
(/ 1 (pow (pow x (neg 2.0)) 1.0))
90.0ms
(* (sqrt 2) (sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0)))
86.0ms
(sqrt (pow (/ 1 (pow (pow x (neg 2.0)) 1.0)) 1.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051264075

prune823.0ms

Filtered
157 candidates to 267 candidates (-70.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2625267
Fresh426
Picked101
Done022
Total2679276

Merged error: 0.1b

Counts
276 → 9

regimes161.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11816

end0.0ms

sample562.0ms

Algorithm
intervals
Results
399.0ms8006×body80valid

Profiling

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