Details

Time bar (total: 2.1s)

analyze76.0ms (3.7%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
43.7%43.7%12.6%7
53.1%34.3%12.6%8
57.8%23.4%18.8%9
63.2%18%18.8%10
66%12.1%22%11
68.9%9.2%22%12
70.3%6.1%23.5%13
71.9%4.6%23.5%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify169.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01810
11810

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

5.2b
(*.f64 x (+.f64 1 (*.f64 y y)))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_8701
associate-*l*_binary64_8620 add-cbrt-cube_binary64_8715 add-exp-log_binary64_8717 add-cube-cbrt_binary64_8714 *-un-lft-identity_binary64_8679 pow1_binary64_8740 associate-*r*_binary64_8619
associate-*r/_binary64_8621
distribute-lft-in_binary64_8628 prod-exp_binary64_8728 pow-prod-down_binary64_8750 cbrt-unprod_binary64_8712 unswap-sqr_binary64_8647 *-commutative_binary64_8610 add-log-exp_binary64_8718 flip-+_binary64_8653 distribute-rgt-in_binary64_8629 flip3-+_binary64_8682
Counts
1 → 22
Calls

1 calls:

7.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))

series74.0ms (3.6%)

Counts
1 → 3
Calls

1 calls:

74.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))

simplify61.0ms (3%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05039289

prune68.0ms (3.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New21425
Fresh000
Picked101
Done000
Total22426

Merged error: 5.4b

Counts
26 → 4
Compiler

Compiled 994 to 652 computations (34.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
0.1b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
5.2b
(sqrt.f64 (+.f64 1 (*.f64 y y)))
5.2b
(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite35.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
18×sqrt-div_binary64_8696
17×add-sqr-sqrt_binary64_8701
13×sqrt-prod_binary64_8695 pow1_binary64_8740
12×associate-*r*_binary64_8619
11×add-cbrt-cube_binary64_8715 add-exp-log_binary64_8717 add-cube-cbrt_binary64_8714 *-un-lft-identity_binary64_8679
10×associate-*r/_binary64_8621
flip-+_binary64_8653 flip3-+_binary64_8682
associate-*l*_binary64_8620 prod-exp_binary64_8728 pow-prod-down_binary64_8750 cbrt-unprod_binary64_8712 frac-times_binary64_8689 add-log-exp_binary64_8718
pow1/2_binary64_8759 sqrt-pow1_binary64_8697 unswap-sqr_binary64_8647 *-commutative_binary64_8610 rem-sqrt-square_binary64_8692 associate-*l/_binary64_8622
Counts
4 → 83
Calls

4 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
8.0ms
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))

series238.0ms (11.6%)

Counts
4 → 12
Calls

4 calls:

92.0ms
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
77.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
35.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
34.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))

simplify89.0ms (4.3%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049561418
149561418

prune115.0ms (5.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New93295
Fresh033
Picked011
Done000
Total93699

Merged error: 5.4b

Counts
99 → 6
Compiler

Compiled 2204 to 1371 computations (37.8% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (*.f64 y y)))
10.8b
(*.f64 x (*.f64 y y))

rewrite12.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_8715 add-exp-log_binary64_8717 pow1_binary64_8740
add-sqr-sqrt_binary64_8701 add-log-exp_binary64_8718
associate-*l*_binary64_8620 prod-exp_binary64_8728 pow-prod-down_binary64_8750 cbrt-unprod_binary64_8712 add-cube-cbrt_binary64_8714 *-un-lft-identity_binary64_8679
unswap-sqr_binary64_8647 *-commutative_binary64_8610 +-commutative_binary64_8609 sum-log_binary64_8770 flip-+_binary64_8653 associate-*r*_binary64_8619 flip3-+_binary64_8682
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 x (*.f64 y y))
4.0ms
(+.f64 x (*.f64 x (*.f64 y y)))

series131.0ms (6.4%)

Counts
2 → 6
Calls

2 calls:

82.0ms
(+.f64 x (*.f64 x (*.f64 y y)))
49.0ms
(*.f64 x (*.f64 y y))

simplify94.0ms (4.6%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04907376
14907376

prune49.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh224
Picked011
Done101
Total36642

Merged error: 0.0b

Counts
42 → 6
Compiler

Compiled 735 to 368 computations (49.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x y) y))
0.2b
(*.f64 (*.f64 x y) y)

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_8715 add-exp-log_binary64_8717 pow1_binary64_8740
add-log-exp_binary64_8718
prod-exp_binary64_8728 pow-prod-down_binary64_8750 cbrt-unprod_binary64_8712 add-cube-cbrt_binary64_8714 add-sqr-sqrt_binary64_8701 *-un-lft-identity_binary64_8679 associate-*r*_binary64_8619
associate-*l*_binary64_8620 *-commutative_binary64_8610 +-commutative_binary64_8609 sum-log_binary64_8770 flip-+_binary64_8653 flip3-+_binary64_8682
Counts
2 → 29
Calls

2 calls:

6.0ms
(*.f64 (*.f64 x y) y)
4.0ms
(+.f64 x (*.f64 (*.f64 x y) y))

series124.0ms (6%)

Counts
2 → 6
Calls

2 calls:

72.0ms
(+.f64 x (*.f64 (*.f64 x y) y))
51.0ms
(*.f64 (*.f64 x y) y)

simplify78.0ms (3.8%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05215364

prune52.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh224
Picked011
Done011
Total34741

Merged error: 0.0b

Counts
41 → 7
Compiler

Compiled 648 to 282 computations (56.5% saved)

regimes62.0ms (3%)

Compiler

Compiled 415 to 285 computations (31.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample470.0ms (22.9%)

Algorithm
intervals
Results
189.0ms8000×body128valid
4.0ms165×body128invalid
Compiler

Compiled 113 to 78 computations (31% saved)

Profiling

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