Details

Time bar (total: 3.5s)

analyze268.0ms (7.6%)

Algorithm
1×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

sample46.0ms (1.3%)

Algorithm
1×intervals
Results
15.0ms154×body160valid
11.0ms290×pre80true
6.0ms40×body320valid
3.0ms62×body80valid
2.0ms34×body80nan

simplify246.0ms (7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (244.0ms)

IterNodesCost
0193116
1193116

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 42.3b

Counts
2 → 1

localize10.0ms (0.3%)

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))
0.2b
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b) (*.f64 a 2.0))
37.2b
(-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))) b)

rewrite33.0ms (0.9%)

Algorithm
1×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:

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)
6.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))

series80.0ms (2.3%)

Counts
4 → 12
Calls

4 calls:

33.0ms
(/.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)
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))

simplify53.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049211309
149211309

prune114.0ms (3.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.2b

Counts
83 → 3

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(-.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 (/.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)))))

rewrite45.0ms (1.3%)

Algorithm
1×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:

15.0ms
(/.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)))))
8.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))

series155.0ms (4.4%)

Counts
4 → 12
Calls

4 calls:

70.0ms
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))
56.0ms
(/.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))
19.0ms
(+.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))

simplify64.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049783969
149783969

prune308.0ms (8.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1607167
Fresh202
Picked101
Done000
Total1637170

Merged error: 0b

Counts
170 → 7

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.8%)

Algorithm
1×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:

8.0ms
(/.f64 c (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))))
7.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
6.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))
5.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))

series106.0ms (3%)

Counts
4 → 12
Calls

4 calls:

59.0ms
(/.f64 c (+.f64 b (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))))
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))

simplify70.0ms (2%)

Algorithm
1×egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049301299
149301299

prune129.0ms (3.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh156
Picked101
Done000
Total84690

Merged error: 0b

Counts
90 → 6

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
18×add-exp-log_binary64 add-cbrt-cube_binary64
11×*-un-lft-identity_binary64
9×pow1_binary64
8×add-log-exp_binary64
7×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
6×cbrt-unprod_binary64 prod-exp_binary64 associate-/l*_binary64 times-frac_binary64
4×associate-*l*_binary64 associate-*l/_binary64
3×pow-prod-down_binary64 flip3-+_binary64 cbrt-undiv_binary64 div-exp_binary64 flip-+_binary64
2×distribute-lft-out_binary64 neg-mul-1_binary64 distribute-lft-neg-in_binary64 associate-/r/_binary64 distribute-rgt-neg-in_binary64
1×associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 associate-*r*_binary64 neg-sub0_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 +-commutative_binary64 distribute-frac-neg_binary64 flip--_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 77
Calls

4 calls:

13.0ms
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))) (*.f64 a 2.0)))
11.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))) (*.f64 a 2.0))
6.0ms
(+.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))

series107.0ms (3%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(/.f64 (neg.f64 (*.f64 (*.f64 4.0 a) c)) (*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))) (*.f64 a 2.0)))
23.0ms
(*.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c)))) (*.f64 a 2.0))
18.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))))
10.0ms
(-.f64 (*.f64 b b) (*.f64 (*.f64 4.0 a) c))

simplify52.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050931567

prune116.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New89089
Fresh055
Picked011
Done000
Total89695

Merged error: 0b

Counts
95 → 6

regimes169.0ms (4.8%)

Accuracy

Total 0.4b remaining (88.7%)

Threshold costs 0.4b (88.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06823
16823

end0.0ms (0%)

sample1.3s (35.6%)

Algorithm
1×intervals
Results
469.0ms4853×body160valid
256.0ms8888×pre80true
196.0ms1371×body320valid
92.0ms1776×body80valid
42.0ms888×body80nan

Profiling

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