Details

Time bar (total: 3.4s)

analyze272.0ms

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

sample40.0ms

Algorithm
intervals
Results
12.0ms125×body160valid
10.0ms291×pre80true
6.0ms131×body80valid
2.0ms35×body80nan

simplify250.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (247.0ms)

IterNodesCost
0193116
1193116

prune7.0ms

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: 25.2b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
0.3b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
25.1b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

rewrite30.0ms

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:
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
12.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
8.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

series83.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
35.0ms
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
19.0ms
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

simplify52.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049211309
149211309

prune104.0ms

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

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New75782
Fresh000
Picked101
Done000
Total76783

Merged error: 0.4b

Counts
83 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
0.3b
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))) (*.f64 a 2.0))
0.3b
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
102×times-frac_binary64
78×*-un-lft-identity_binary64
38×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
36×associate-/l*_binary64
20×distribute-lft-out_binary64
18×add-exp-log_binary64 add-cbrt-cube_binary64
13×neg-mul-1_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64
8×add-log-exp_binary64
7×cbrt-undiv_binary64 div-exp_binary64
6×associate-/r/_binary64
5×associate-/r*_binary64
4×flip3-+_binary64 pow1_binary64 div-inv_binary64 flip-+_binary64
3×div-sub_binary64 distribute-frac-neg_binary64
2×cbrt-unprod_binary64 neg-sub0_binary64 clear-num_binary64 prod-exp_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 → 155
Calls
4 calls:
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
14.0ms
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))) (*.f64 a 2.0))
10.0ms
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
11.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
55.0ms
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))) (*.f64 a 2.0))
74.0ms
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049783969
149783969

prune260.0ms

Filtered
124 candidates to 167 candidates (-34.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New15710167
Fresh606
Picked101
Done000
Total16410174

Merged error: 0b

Counts
174 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
0.2b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
0.2b
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))
0.2b
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))

rewrite26.0ms

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:
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
6.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
8.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))

series105.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
18.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
58.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))
11.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))

simplify72.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049301299
149301299

prune125.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80383
Fresh369
Picked101
Done000
Total84993

Merged error: 0b

Counts
93 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
0.2b
(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))))
0.4b
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
0.5b
(*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
118×pow1_binary64
66×pow-prod-down_binary64
44×add-exp-log_binary64 add-cbrt-cube_binary64
32×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
30×times-frac_binary64
27×cbrt-unprod_binary64 prod-exp_binary64
24×add-cube-cbrt_binary64
12×difference-of-squares_binary64
9×pow-prod-up_binary64 associate-/l*_binary64 pow-sqr_binary64
7×associate-/r*_binary64
6×add-log-exp_binary64
4×distribute-lft-out_binary64 sqr-pow_binary64 associate-/r/_binary64 unpow-prod-down_binary64
3×flip3-+_binary64 pow-plus_binary64 flip-+_binary64
2×associate-/l/_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
1×flip3--_binary64 swap-sqr_binary64 associate-*r*_binary64 associate-*l*_binary64 div-sub_binary64 +-commutative_binary64 flip--_binary64 pow2_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 148
Calls
4 calls:
5.0ms
(+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
18.0ms
(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))))
12.0ms
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
12.0ms
(*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))

series131.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
80.0ms
(/.f64 c (+.f64 b (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))))
31.0ms
(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))) (+.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
10.0ms
(*.f64 (*.f64 (*.f64 4.0 a) c) (*.f64 (*.f64 4.0 a) c))

simplify42.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051142782

prune158.0ms

Filtered
89 candidates to 160 candidates (-79.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1600160
Fresh088
Picked011
Done000
Total1609169

Merged error: 0b

Counts
169 → 9

regimes193.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09835
19835

end0.0ms

sample1.1s

Algorithm
intervals
Results
426.0ms4485×body160valid
246.0ms8829×pre80true
180.0ms3515×body80valid
39.0ms829×body80nan

Profiling

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