Details

Time bar (total: 3.2s)

analyze11.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%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 8 to 7 computations (12.5% saved)

sample17.0ms (0.5%)

Algorithm
intervals
Results
8.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify121.0ms (3.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01211
11211

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.0b
(sqrt.f64 (-.f64 x 1))
0.0b
(sqrt.f64 (-.f64 x 1))
0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite32.0ms (1%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
13×*-un-lft-identity_binary64
10×associate-*l*_binary64
pow1_binary64 add-cube-cbrt_binary64
associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 difference-of-squares_binary64 sqrt-div_binary64
pow-prod-down_binary64 pow1/2_binary64 sqrt-pow1_binary64
add-log-exp_binary64 flip3--_binary64 difference-of-sqr-1_binary64 distribute-lft-out--_binary64 flip--_binary64 associate-*l/_binary64
cbrt-unprod_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 55
Calls

4 calls:

13.0ms
(sqrt.f64 (-.f64 x 1))
13.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
0.0ms
(sqrt.f64 (-.f64 x 1))
0.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series54.0ms (1.7%)

Counts
2 → 9
Calls

2 calls:

38.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
16.0ms
(sqrt.f64 (-.f64 x 1))
Compiler

Compiled 123 to 105 computations (14.6% saved)

simplify90.0ms (2.8%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04881758
14881758

prune109.0ms (3.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New62264
Fresh000
Picked101
Done000
Total63265
Error
0b
Counts
65 → 2
Compiler

Compiled 743 to 476 computations (35.9% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
0.0b
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

rewrite16.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
cancel-sign-sub-inv_binary64 add-sqr-sqrt_binary64
diff-log_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 distribute-lft-out--_binary64
sub-neg_binary64 pow1_binary64 associate--r+_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 flip--_binary64 sum-log_binary64
Counts
1 → 20
Calls

2 calls:

14.0ms
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
0.0ms
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))

series40.0ms (1.2%)

Counts
1 → 7
Calls

1 calls:

40.0ms
(-.f64 x (+.f64 1/2 (/.f64 1/8 x)))
Compiler

Compiled 55 to 51 computations (7.3% saved)

simplify110.0ms (3.4%)

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
05017312

prune17.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done000
Total27229
Error
0b
Counts
29 → 2
Compiler

Compiled 265 to 201 computations (24.2% saved)

localize4.0ms (0.1%)

Local error

Found 4 expressions with local error:

31.5b
(sqrt.f64 (*.f64 x (-.f64 x 1)))
0.0b
(*.f64 x (-.f64 x 1))
0.0b
(*.f64 x (-.f64 x 1))
31.5b
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite33.0ms (1%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
pow1_binary64 associate-*r*_binary64
add-cube-cbrt_binary64 cancel-sign-sub-inv_binary64
associate-*r/_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
associate-*l*_binary64
pow-prod-down_binary64 add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 flip--_binary64 sqrt-div_binary64
pow1/2_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 45
Calls

4 calls:

14.0ms
(*.f64 x (-.f64 x 1))
9.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))
0.0ms
(*.f64 x (-.f64 x 1))
0.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

series70.0ms (2.2%)

Counts
2 → 12
Calls

2 calls:

43.0ms
(*.f64 x (-.f64 x 1))
28.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))
Compiler

Compiled 104 to 91 computations (12.5% saved)

simplify87.0ms (2.7%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
05072479

prune64.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New57057
Fresh000
Picked011
Done011
Total57259
Error
0b
Counts
59 → 2
Compiler

Compiled 504 to 310 computations (38.5% saved)

simplify10.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117380
1117380

regimes98.0ms (3%)

Accuracy

Total 0.5b remaining (100%)

Threshold costs 0.5b (100%)

Compiler

Compiled 490 to 398 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01811
11811

end0.0ms (0%)

sample2.2s (68.9%)

Algorithm
intervals
Results
362.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 719 to 584 computations (18.8% saved)

Pareto

0.8206457346464692

Profiling

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