Details

Time bar (total: 1.3s)

analyze5.0ms (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)

sample24.0ms (1.9%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify384.0ms (30.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (289.0ms)

IterNodesCost
0754420

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

rewrite16.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64_441
25×*-un-lft-identity_binary64_419 sqrt-prod_binary64_435
24×times-frac_binary64_425
20×add-cube-cbrt_binary64_454
10×difference-of-squares_binary64_388
associate-/l*_binary64_364
sqrt-div_binary64_436 add-cbrt-cube_binary64_455 add-exp-log_binary64_457
associate-/r*_binary64_363 pow1_binary64_480
add-log-exp_binary64_458 flip3--_binary64_423 flip--_binary64_394 associate-/l/_binary64_366
clear-num_binary64_418 pow1/2_binary64_499 div-inv_binary64_416 frac-2neg_binary64_430 sqrt-pow1_binary64_437 rem-sqrt-square_binary64_432 div-exp_binary64_470 cbrt-undiv_binary64_453
Counts
2 → 66
Calls

2 calls:

7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series66.0ms (5.2%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
28.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify60.0ms (4.8%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051411371

prune76.0ms (6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New72072
Fresh000
Picked011
Done000
Total72173

Merged error: 0b

Counts
73 → 1
Compiler

Compiled 1500 to 964 computations (35.7% saved)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02920
12920

end0.0ms (0%)

sample614.0ms (48.8%)

Algorithm
intervals
Results
444.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 40 to 32 computations (20% saved)

Profiling

Loading profile data...