Details

Time bar (total: 1.4s)

analyze12.0ms (0.9%)

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)

sample211.0ms (15.6%)

Algorithm
intervals
Results
204.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify182.0ms (13.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01211
11211

prune4.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize8.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×sqrt-prod_binary64
10×associate-*l*_binary64
*-un-lft-identity_binary64
associate-*r*_binary64
pow1_binary64 add-cube-cbrt_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow1/2_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 sqrt-div_binary64 associate-*l/_binary64
add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 sqrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 36
Calls

1 calls:

19.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series67.0ms (5%)

Counts
1 → 3
Calls

1 calls:

67.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify59.0ms (4.4%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05064611

prune100.0ms (7.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0b

Counts
40 → 3
Compiler

Compiled 1334 to 971 computations (27.2% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

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

1 calls:

10.0ms
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

series19.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(-.f64 x (+.f64 (/.f64 1/8 x) 1/2))

simplify63.0ms (4.6%)

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05181311

prune19.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New23023
Fresh011
Picked011
Done011
Total23326

Merged error: 0b

Counts
26 → 3
Compiler

Compiled 261 to 200 computations (23.4% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

29.7b
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite6.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
pow-prod-down_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64 sqrt-prod_binary64
Counts
1 → 13
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

series35.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

simplify64.0ms (4.8%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04909200
14909200

prune11.0ms (0.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3
Compiler

Compiled 172 to 126 computations (26.7% saved)

regimes24.0ms (1.8%)

Compiler

Compiled 56 to 48 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01811
11811

end0.0ms (0%)

sample420.0ms (31.1%)

Algorithm
intervals
Results
242.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 35 to 31 computations (11.4% saved)

Profiling

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