Details

Time bar (total: 3.1s)

analyze258.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1
0%0%100%2
0%0%100%3
0%0%100%4
0%0%100%5
0%0%100%6
0%0%100%7
0%0%100%8
0%0%100%9
0%0%100%10
0%0%100%11
0%0%100%12
0%0%100%13
0%0%100%14

sample30.0ms

Algorithm
intervals
Results
11.0ms244×body128valid
8.0ms286×pre128true
1.0ms30×body128nan
1.0ms12×body256valid

simplify258.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (252.0ms)

IterNodesCost
0180224
1180224

prune4.0ms

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: 28.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
0.3b
(*.f64 (*.f64 3 a) c)
0.4b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
28.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
13×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64
4×cbrt-unprod_binary64 prod-exp_binary64
3×pow-prod-down_binary64 flip3--_binary64 associate-*r*_binary64 distribute-lft-out--_binary64 flip--_binary64 sqrt-prod_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 associate-*l*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
5.0ms
(*.f64 (*.f64 3 a) c)
15.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

series472.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))
28.0ms
(*.f64 (*.f64 3 a) c)
230.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b) (*.f64 3 a))
136.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 3 a) c))) b)

simplify69.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049351807
149351807

prune109.0ms

Filtered
59 candidates to 85 candidates (-44.1%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New681785
Fresh000
Picked101
Done000
Total691786

Merged error: 9.0b

Counts
86 → 17

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune25.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01616
Picked011
Done000
Total01717

Merged error: 9.0b

Counts
17 → 17

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
0.3b
(/.f64 (*.f64 a c) b)
0.4b
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64 add-cbrt-cube_binary64
17×cbrt-unprod_binary64 prod-exp_binary64
16×cbrt-undiv_binary64 div-exp_binary64
10×add-sqr-sqrt_binary64
8×*-un-lft-identity_binary64 add-cube-cbrt_binary64
7×associate-*r*_binary64 times-frac_binary64
5×pow1_binary64
4×associate-/r*_binary64
3×add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
2×associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 78
Calls
3 calls:
7.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
5.0ms
(/.f64 (*.f64 a c) b)
10.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

series115.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(*.f64 -3/2 (/.f64 (*.f64 a c) b))
35.0ms
(/.f64 (*.f64 a c) b)
37.0ms
(/.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (*.f64 3 a))

simplify52.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04942874
14942874

prune82.0ms

Filtered
47 candidates to 87 candidates (-85.1%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New721587
Fresh01515
Picked101
Done101
Total7430104

Merged error: 8.9b

Counts
104 → 30

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b
(/.f64 1 (*.f64 (/.f64 b c) -2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64
10×add-cbrt-cube_binary64
5×div-exp_binary64
4×pow1_binary64 cbrt-undiv_binary64 prod-exp_binary64
3×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 rec-exp_binary64 associate-/l*_binary64 times-frac_binary64
2×cbrt-unprod_binary64 pow-flip_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 add-log-exp_binary64 associate-/r/_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 div-inv_binary64 associate-*l/_binary64
Counts
1 → 30
Calls
1 calls:
7.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/.f64 1 (*.f64 (/.f64 b c) -2))

simplify91.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
04906268
14906268

prune12.0ms

Filtered
18 candidates to 33 candidates (-83.3%)
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh22729
Picked011
Done000
Total323163

Merged error: 8.9b

Counts
63 → 31

regimes445.0ms

Accuracy

45.8% (7.5b remaining)

Error of 16.6b against oracle of 9.1b and baseline of 22.9b

bsearch2.0ms

Steps
ItersRangePoint
0
236.92109119227263
239.82449236509868
238.37279177868564

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08561
18561

end0.0ms

sample892.0ms

Algorithm
intervals
Results
366.0ms7678×body128valid
248.0ms8968×pre128true
44.0ms968×body128nan
36.0ms322×body256valid

Profiling

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