Details

Time bar (total: 1.1s)

analyze452.0ms (43%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
12.5%87.4%0.1%5
18.7%81.1%0.1%6
21.8%71.8%6.4%7
31.2%62.4%6.4%8
35.9%55.4%8.7%9
37.8%48.8%13.4%10
42.7%42.3%15%11
47.7%34.2%18.1%12
49.1%30.4%20.5%13
51.9%25.8%22.3%14
Compiler

Compiled 18 to 15 computations (16.7% saved)

sample45.0ms (4.3%)

Algorithm
intervals
Results
15.0ms51×body2560valid
8.0ms153×body80valid
6.0ms26×body1280valid
2.0ms11×body640valid
1.0msbody320valid
1.0msbody5120valid
1.0ms17×body80nan
0.0msbody80invalid
0.0msbody160valid
Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify357.0ms (34%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (344.0ms)

IterNodesCost
0183524
1183524

prune6.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 35.3b

Counts
2 → 1
Compiler

Compiled 32 to 26 computations (18.8% saved)

localize10.0ms (1%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)
0.4b
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
1.3b
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
24.6b
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

rewrite25.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64
12×times-frac_binary64
add-log-exp_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow1_binary64 distribute-lft-out_binary64
associate-/l*_binary64
associate-/r*_binary64 sqrt-prod_binary64
flip3-+_binary64 associate-/l/_binary64 flip3--_binary64 flip--_binary64 flip-+_binary64 sqrt-div_binary64
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 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)
6.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
5.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))
4.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))

series64.0ms (6%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))) a)
17.0ms
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c))))
16.0ms
(+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))))
9.0ms
(-.f64 (*.f64 b b) (*.f64 4 (*.f64 a c)))

simplify85.0ms (8.1%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049332018
149332018

prune6.0ms (0.6%)

Profiling

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