Details

Time bar (total: 2.0s)

analyze10.0ms (0.5%)

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)

sample218.0ms (10.8%)

Algorithm
intervals
Results
210.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify178.0ms (8.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01211
11211

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.6b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite23.0ms (1.2%)

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))

series68.0ms (3.4%)

Counts
1 → 3
Calls

1 calls:

68.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify56.0ms (2.8%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05047611

prune45.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New36339
Fresh000
Picked101
Done000
Total37340

Merged error: 0b

Counts
40 → 3
Compiler

Compiled 551 to 360 computations (34.7% saved)

localize5.0ms (0.3%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0b

Counts
3 → 3
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
0.4b
(*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x)))
0.5b
(cbrt.f64 x)
0.5b
(cbrt.f64 x)

rewrite29.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
14×sqrt-prod_binary64
12×associate-*r*_binary64 add-cube-cbrt_binary64
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
cbrt-prod_binary64
associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 sqrt-div_binary64
flip3--_binary64 pow1/3_binary64 unswap-sqr_binary64 difference-of-squares_binary64 flip--_binary64 *-commutative_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64
Counts
4 → 76
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
8.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series555.0ms (27.6%)

Counts
4 → 12
Calls

4 calls:

168.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
166.0ms
(cbrt.f64 x)
156.0ms
(cbrt.f64 x)
65.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (fabs.f64 (cbrt.f64 x)))

simplify75.0ms (3.7%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
053511654

prune84.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done011
Total88391

Merged error: 0b

Counts
91 → 3
Compiler

Compiled 1696 to 897 computations (47.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 x 1))
29.7b
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64
associate-*r/_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_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 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

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

series98.0ms (4.9%)

Counts
2 → 6
Calls

2 calls:

62.0ms
(*.f64 x (-.f64 x 1))
35.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

simplify55.0ms (2.8%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04938446
14938446

prune33.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done022
Total45348

Merged error: 0b

Counts
48 → 3
Compiler

Compiled 461 to 319 computations (30.8% saved)

regimes11.0ms (0.5%)

Compiler

Compiled 27 to 22 computations (18.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04110
14110

end0.0ms (0%)

sample412.0ms (20.5%)

Algorithm
intervals
Results
235.0ms8000×body128valid
0.0msbody128nan
Compiler

Compiled 40 to 34 computations (15% saved)

Profiling

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