Details

Time bar (total: 3.5s)

analyze281.0ms

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

sample48.0ms

Algorithm
intervals
Results
18.0ms154×body160valid
8.0ms281×pre80true
7.0ms49×body320valid
3.0ms53×body80valid
1.0ms25×body80nan

simplify224.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (222.0ms)

IterNodesCost
0183316
1183316

prune8.0ms

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: 45.1b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
39.4b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64
9×add-exp-log_binary64 add-cbrt-cube_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64
6×difference-of-squares_binary64 associate-/l*_binary64 times-frac_binary64 sqrt-prod_binary64
5×pow1_binary64
4×flip3--_binary64 flip--_binary64
3×distribute-lft-out--_binary64
2×associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 div-exp_binary64 sqrt-div_binary64
1×associate-/r*_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 div-sub_binary64 rem-sqrt-square_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 70
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
7.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
9.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

series71.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
28.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b) (*.f64 a 2))
17.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))) b)

simplify62.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
049001294
149001294

prune101.0ms

Filtered
62 candidates to 82 candidates (-32.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483

Merged error: 0.2b

Counts
83 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
0.1b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
0.3b
(/.f64 (/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
0.3b
(/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64 add-cbrt-cube_binary64
22×times-frac_binary64
20×*-un-lft-identity_binary64
17×cbrt-undiv_binary64 div-exp_binary64
13×cbrt-unprod_binary64 prod-exp_binary64
11×associate-/l*_binary64
10×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
8×add-log-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64 distribute-lft-out_binary64
4×flip3-+_binary64 pow1_binary64 div-inv_binary64 flip-+_binary64
2×clear-num_binary64 frac-2neg_binary64
1×associate-/l/_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 98
Calls
4 calls:
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
16.0ms
(/.f64 (/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
13.0ms
(/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))
9.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))
50.0ms
(/.f64 (/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (*.f64 a 2))
71.0ms
(/.f64 (*.f64 a (*.f64 c -4)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049492008
149492008

prune148.0ms

Filtered
75 candidates to 110 candidates (-46.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1037110
Fresh303
Picked101
Done000
Total1077114

Merged error: 0.0b

Counts
114 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
0.1b
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
0.1b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
0.1b
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64
12×times-frac_binary64
8×add-log-exp_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
5×pow1_binary64 distribute-lft-out_binary64
4×associate-/r*_binary64
3×associate-/l*_binary64 sqrt-prod_binary64
2×flip3-+_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 flip-+_binary64 sqrt-div_binary64
1×sub-neg_binary64 pow1/2_binary64 diff-log_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 sum-log_binary64
Counts
4 → 71
Calls
4 calls:
5.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
9.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
54.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))))
17.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
12.0ms
(-.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))

simplify70.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049041292
149041292

prune117.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh246
Picked101
Done000
Total83790

Merged error: 0b

Counts
90 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
0.3b
(*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
0.4b
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 c (*.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
0.7b
(pow.f64 (*.f64 c (*.f64 a 4)) 3)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64 times-frac_binary64
26×add-exp-log_binary64 add-cbrt-cube_binary64
24×pow1_binary64 difference-of-squares_binary64
22×add-cube-cbrt_binary64
21×sqr-pow_binary64
12×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
10×associate-/l*_binary64
9×unpow-prod-down_binary64
6×associate-*r/_binary64
5×distribute-lft-in_binary64 distribute-rgt-in_binary64
4×add-log-exp_binary64 associate-*r*_binary64 associate-*l*_binary64 distribute-lft-out--_binary64
3×flip3-+_binary64 pow-unpow_binary64 associate-/r*_binary64 pow-pow_binary64 rem-cube-cbrt_binary64 flip-+_binary64 pow-exp_binary64
2×associate-/l/_binary64 associate-/r/_binary64 *-commutative_binary64
1×pow-to-exp_binary64 flip3--_binary64 cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 cube-prod_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 unpow3_binary64 cube-mult_binary64
Counts
4 → 134
Calls
4 calls:
10.0ms
(*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
12.0ms
(*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
18.0ms
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 c (*.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
7.0ms
(pow.f64 (*.f64 c (*.f64 a 4)) 3)

series87.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4))))
24.0ms
(*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))
38.0ms
(/.f64 (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 c (*.f64 a 4)) 3)) (+.f64 (pow.f64 b 4) (*.f64 c (*.f64 (*.f64 a 4) (+.f64 (*.f64 b b) (*.f64 c (*.f64 a 4)))))))
10.0ms
(pow.f64 (*.f64 c (*.f64 a 4)) 3)

simplify63.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050313945

prune239.0ms

Filtered
96 candidates to 146 candidates (-52.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1460146
Fresh066
Picked011
Done000
Total1467153

Merged error: 0b

Counts
153 → 7

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04438
14438

end0.0ms

sample1.3s

Algorithm
intervals
Results
486.0ms4855×body160valid
265.0ms8963×pre80true
210.0ms1379×body320valid
91.0ms1766×body80valid
51.0ms963×body80nan

Profiling

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