Details

Time bar (total: 2.3s)

analyze82.0ms (3.6%)

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)

sample16.0ms (0.7%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 15 computations (0% saved)

simplify161.0ms (7%)

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: 5.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.8b
(*.f64 x (+.f64 1 (*.f64 y y)))

rewrite8.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_12904
associate-*l*_binary64_12826 add-exp-log_binary64_12918 pow1_binary64_12941 add-cbrt-cube_binary64_12916 associate-*r*_binary64_12825 *-un-lft-identity_binary64_12883 add-cube-cbrt_binary64_12915
associate-*r/_binary64_12827
flip3-+_binary64_12886 *-commutative_binary64_12816 distribute-rgt-in_binary64_12835 flip-+_binary64_12857 prod-exp_binary64_12929 pow-prod-down_binary64_12951 cbrt-unprod_binary64_12913 distribute-lft-in_binary64_12834 add-log-exp_binary64_12919 unswap-sqr_binary64_12851
Counts
1 → 22
Calls

1 calls:

6.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))

series77.0ms (3.3%)

Counts
1 → 3
Calls

1 calls:

76.0ms
(*.f64 x (+.f64 1 (*.f64 y y)))

simplify62.0ms (2.7%)

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05140289

prune26.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New20525
Fresh000
Picked101
Done000
Total21526

Merged error: 4.9b

Counts
26 → 5
Compiler

Compiled 335 to 186 computations (44.5% saved)

localize10.0ms (0.4%)

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))))
4.7b
(sqrt.f64 (+.f64 1 (*.f64 y y)))
4.7b
(sqrt.f64 (+.f64 1 (*.f64 y y)))

rewrite34.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
18×sqrt-div_binary64_12899
17×add-sqr-sqrt_binary64_12904
13×pow1_binary64_12941 sqrt-prod_binary64_12898
12×associate-*r*_binary64_12825
11×add-exp-log_binary64_12918 add-cbrt-cube_binary64_12916 *-un-lft-identity_binary64_12883 add-cube-cbrt_binary64_12915
10×associate-*r/_binary64_12827
flip3-+_binary64_12886 flip-+_binary64_12857
associate-*l*_binary64_12826 frac-times_binary64_12893 prod-exp_binary64_12929 pow-prod-down_binary64_12951 cbrt-unprod_binary64_12913 add-log-exp_binary64_12919
associate-*l/_binary64_12828 *-commutative_binary64_12816 pow1/2_binary64_12960 sqrt-pow1_binary64_12900 rem-sqrt-square_binary64_12896 unswap-sqr_binary64_12851
Counts
4 → 83
Calls

4 calls:

13.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
7.0ms
(*.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)))

series245.0ms (10.6%)

Counts
4 → 12
Calls

4 calls:

91.0ms
(*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y))))
83.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 1 (*.f64 y y)))) (sqrt.f64 (+.f64 1 (*.f64 y y))))
37.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))
33.0ms
(sqrt.f64 (+.f64 1 (*.f64 y y)))

simplify84.0ms (3.6%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
048911418
148911418

prune97.0ms (4.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New95095
Fresh044
Picked011
Done000
Total955100

Merged error: 4.9b

Counts
100 → 5
Compiler

Compiled 1857 to 1103 computations (40.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x (*.f64 y y)))
10.0b
(*.f64 x (*.f64 y y))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_12918 pow1_binary64_12941 add-cbrt-cube_binary64_12916
add-sqr-sqrt_binary64_12904 add-log-exp_binary64_12919
associate-*l*_binary64_12826 prod-exp_binary64_12929 pow-prod-down_binary64_12951 cbrt-unprod_binary64_12913 *-un-lft-identity_binary64_12883 add-cube-cbrt_binary64_12915
flip3-+_binary64_12886 *-commutative_binary64_12816 flip-+_binary64_12857 sum-log_binary64_12971 associate-*r*_binary64_12825 +-commutative_binary64_12815 unswap-sqr_binary64_12851
Counts
2 → 30
Calls

2 calls:

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

series132.0ms (5.7%)

Counts
2 → 6
Calls

2 calls:

78.0ms
(+.f64 x (*.f64 x (*.f64 y y)))
54.0ms
(*.f64 x (*.f64 y y))

simplify71.0ms (3.1%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05348376

prune27.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh123
Picked011
Done101
Total36541

Merged error: 0.0b

Counts
41 → 5
Compiler

Compiled 421 to 138 computations (67.2% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x y) y))
0.1b
(*.f64 (*.f64 x y) y)

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-exp-log_binary64_12918 pow1_binary64_12941 add-cbrt-cube_binary64_12916
add-log-exp_binary64_12919
add-sqr-sqrt_binary64_12904 prod-exp_binary64_12929 pow-prod-down_binary64_12951 associate-*r*_binary64_12825 cbrt-unprod_binary64_12913 *-un-lft-identity_binary64_12883 add-cube-cbrt_binary64_12915
associate-*l*_binary64_12826 flip3-+_binary64_12886 *-commutative_binary64_12816 flip-+_binary64_12857 sum-log_binary64_12971 +-commutative_binary64_12815
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x y) y)
3.0ms
(+.f64 x (*.f64 (*.f64 x y) y))

series128.0ms (5.6%)

Counts
2 → 6
Calls

2 calls:

76.0ms
(+.f64 x (*.f64 (*.f64 x y) y))
52.0ms
(*.f64 (*.f64 x y) y)

simplify92.0ms (4%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
04833364
14833364

prune21.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New32335
Fresh123
Picked011
Done011
Total33740

Merged error: 0.0b

Counts
40 → 7
Compiler

Compiled 365 to 104 computations (71.5% saved)

regimes199.0ms (8.7%)

Compiler

Compiled 1681 to 1193 computations (29% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample687.0ms (29.9%)

Algorithm
intervals
Results
195.0ms8000×body128valid
4.0ms153×body128invalid
Compiler

Compiled 291 to 205 computations (29.6% saved)

Profiling

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