Details

Time bar (total: 2.1s)

analyze64.0ms (3%)

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
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample13.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify174.0ms (8.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
03913
13913

prune5.0ms (0.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2
Compiler

Compiled 57 to 35 computations (38.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_13900 add-exp-log_binary64_13877 add-cbrt-cube_binary64_13875
add-log-exp_binary64_13878
add-sqr-sqrt_binary64_13861 cbrt-unprod_binary64_13872 associate-*l*_binary64_13780 pow-prod-down_binary64_13910 add-cube-cbrt_binary64_13874 *-un-lft-identity_binary64_13839 prod-exp_binary64_13888
associate-*r*_binary64_13779 flip3-+_binary64_13842 +-commutative_binary64_13769 flip-+_binary64_13813 sum-log_binary64_13930 *-commutative_binary64_13770
Counts
2 → 29
Calls

2 calls:

6.0ms
(*.f64 y (*.f64 y 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))

series83.0ms (3.9%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
36.0ms
(*.f64 y (*.f64 y 3))

simplify82.0ms (3.9%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
05340410

prune55.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh011
Picked011
Done000
Total30737

Merged error: 0.0b

Counts
37 → 7
Compiler

Compiled 884 to 562 computations (36.4% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))
0.2b
(*.f64 (*.f64 y y) 3)

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64_13900 add-exp-log_binary64_13877 add-cbrt-cube_binary64_13875
add-log-exp_binary64_13878 add-sqr-sqrt_binary64_13861
associate-*r*_binary64_13779 cbrt-unprod_binary64_13872 pow-prod-down_binary64_13910 add-cube-cbrt_binary64_13874 *-un-lft-identity_binary64_13839 prod-exp_binary64_13888
unswap-sqr_binary64_13807 flip3-+_binary64_13842 +-commutative_binary64_13769 flip-+_binary64_13813 sum-log_binary64_13930 *-commutative_binary64_13770 associate-*l*_binary64_13780
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 (*.f64 y y) 3)
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))

series87.0ms (4.1%)

Counts
2 → 6
Calls

2 calls:

48.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))
39.0ms
(*.f64 (*.f64 y y) 3)

simplify85.0ms (4%)

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04942426
14942426

prune46.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New35136
Fresh145
Picked011
Done011
Total36743

Merged error: 0.0b

Counts
43 → 7
Compiler

Compiled 757 to 449 computations (40.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×add-log-exp_binary64_13878
sum-log_binary64_13930
pow1_binary64_13900 flip3-+_binary64_13842 +-commutative_binary64_13769 add-sqr-sqrt_binary64_13861 flip-+_binary64_13813 add-cube-cbrt_binary64_13874 add-exp-log_binary64_13877 add-cbrt-cube_binary64_13875 *-un-lft-identity_binary64_13839
associate-+l+_binary64_13772
Counts
2 → 25
Calls

2 calls:

11.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series95.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
45.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify77.0ms (3.6%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04857495
14857495

prune52.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New30131
Fresh044
Picked011
Done022
Total30838

Merged error: 0.0b

Counts
38 → 8
Compiler

Compiled 1032 to 466 computations (54.8% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.3b
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite43.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
49×pow1_binary64_13900
33×add-exp-log_binary64_13877
27×pow-prod-down_binary64_13910
21×cbrt-unprod_binary64_13872 prod-exp_binary64_13888
20×add-cbrt-cube_binary64_13875
associate-*r*_binary64_13779
add-log-exp_binary64_13878 add-sqr-sqrt_binary64_13861 add-cube-cbrt_binary64_13874 *-un-lft-identity_binary64_13839
pow-plus_binary64_13902 pow-prod-up_binary64_13909
cbrt-prod_binary64_13870
pow-sqr_binary64_13812 *-commutative_binary64_13770 associate-*l*_binary64_13780 pow2_binary64_13920
unswap-sqr_binary64_13807 flip3-+_binary64_13842 +-commutative_binary64_13769 flip-+_binary64_13813 sum-log_binary64_13930
Counts
3 → 70
Calls

3 calls:

18.0ms
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
13.0ms
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series276.0ms (13.1%)

Counts
3 → 9
Calls

3 calls:

109.0ms
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
91.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
76.0ms
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify63.0ms (3%)

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04951875
14951875

prune118.0ms (5.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New78179
Fresh134
Picked011
Done033
Total79887

Merged error: 0.0b

Counts
87 → 8
Compiler

Compiled 1871 to 1253 computations (33% saved)

regimes81.0ms (3.8%)

Compiler

Compiled 641 to 504 computations (21.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11013

end0.0ms (0%)

sample545.0ms (25.7%)

Algorithm
intervals
Results
230.0ms8000×body128valid
0.0msbody128invalid
Compiler

Compiled 155 to 118 computations (23.9% saved)

Profiling

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