Details

Time bar (total: 1.2s)

analyze4.0ms (0.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 14 to 11 computations (21.4% saved)

sample18.0ms (1.5%)

Algorithm
intervals
Results
13.0ms256×body80valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify349.0ms (28.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (340.0ms)

IterNodesCost
0697220

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1
Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

rewrite34.0ms (2.8%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
37×times-frac_binary64
30×add-sqr-sqrt_binary64
23×add-cube-cbrt_binary64 sqrt-prod_binary64
distribute-lft-out_binary64 difference-of-squares_binary64 associate-/l*_binary64
div-inv_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 distribute-rgt-out_binary64
associate-/l/_binary64 pow1_binary64 sqrt-div_binary64
flip3-+_binary64 flip3--_binary64 cbrt-undiv_binary64 frac-add_binary64 distribute-rgt1-in_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64
Counts
2 → 73
Calls

2 calls:

25.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

series14.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

simplify108.0ms (8.9%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049211632
149211632

prune59.0ms (4.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done000
Total79180

Merged error: 0b

Counts
80 → 1
Compiler

Compiled 1617 to 1028 computations (36.4% saved)

simplify4.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03020
13020

end0.0ms (0%)

sample617.0ms (50.6%)

Algorithm
intervals
Results
411.0ms8000×body80valid
0.0msbody80nan
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

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