Details

Time bar (total: 2.4s)

analyze249.0ms (10.5%)

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
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
31.2%68.6%0.1%8
39%56.2%4.8%9
50.7%43.7%5.6%10
60.3%33.7%6%11
64.6%26.5%8.9%12
70.5%20.3%9.2%13
74.6%16.1%9.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.6%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms13×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify90.0ms (3.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02013
12013

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (/.f64 x 2) (*.f64 y x))
0.0b
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

rewrite17.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_6937
sum-log_binary64_6989 *-un-lft-identity_binary64_6898
flip-+_binary64_6872 add-cube-cbrt_binary64_6933 +-commutative_binary64_6828 pow1_binary64_6959 add-exp-log_binary64_6936 add-sqr-sqrt_binary64_6920 add-cbrt-cube_binary64_6934 flip3-+_binary64_6901
distribute-lft-out_binary64_6849 associate-+l+_binary64_6831
Counts
2 → 25
Calls

2 calls:

9.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
6.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))

series49.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

26.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
23.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

simplify64.0ms (2.7%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05010490

prune32.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New28331
Fresh000
Picked011
Done000
Total28432
Error
0.0b
Counts
32 → 4
Compiler

Compiled 487 to 279 computations (42.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 y 1/2))
0.0b
(+.f64 z (*.f64 x (+.f64 y 1/2)))

rewrite12.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_6920 *-un-lft-identity_binary64_6898
associate-*r*_binary64_6838 add-cube-cbrt_binary64_6933 pow1_binary64_6959 add-exp-log_binary64_6936 add-log-exp_binary64_6937 add-cbrt-cube_binary64_6934
associate-*l*_binary64_6839
flip-+_binary64_6872 flip3-+_binary64_6901 associate-+r+_binary64_6830 distribute-lft-in_binary64_6847 associate-*r/_binary64_6840 distribute-rgt-in_binary64_6848
prod-exp_binary64_6947 distribute-lft-out_binary64_6849 +-commutative_binary64_6828 unswap-sqr_binary64_6866 cbrt-unprod_binary64_6931 *-commutative_binary64_6829 sum-log_binary64_6989 pow-prod-down_binary64_6969
Counts
2 → 36
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 y 1/2))
3.0ms
(+.f64 z (*.f64 x (+.f64 y 1/2)))

series47.0ms (2%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(+.f64 z (*.f64 x (+.f64 y 1/2)))
22.0ms
(*.f64 x (+.f64 y 1/2))

simplify56.0ms (2.4%)

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04976461
14976461

prune35.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh112
Picked011
Done101
Total42446
Error
0b
Counts
46 → 4
Compiler

Compiled 539 to 347 computations (35.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite15.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_6929
23×add-sqr-sqrt_binary64_6920
15×add-cube-cbrt_binary64_6933 *-un-lft-identity_binary64_6898
11×pow1_binary64_6959
pow1/3_binary64_6980
associate-*r*_binary64_6838 swap-sqr_binary64_6865 add-exp-log_binary64_6936 associate-*l*_binary64_6839
add-log-exp_binary64_6937 add-cbrt-cube_binary64_6934 unswap-sqr_binary64_6866
pow-sqr_binary64_6871 pow-prod-up_binary64_6968 pow-prod-down_binary64_6969
pow2_binary64_6979 prod-exp_binary64_6947 cbrt-unprod_binary64_6931 *-commutative_binary64_6829 pow-plus_binary64_6961
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series345.0ms (14.6%)

Counts
4 → 12
Calls

4 calls:

99.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
83.0ms
(cbrt.f64 x)
82.0ms
(cbrt.f64 x)
81.0ms
(cbrt.f64 x)

simplify62.0ms (2.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04892563
14892563

prune70.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489
Error
0b
Counts
89 → 4
Compiler

Compiled 1456 to 690 computations (52.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 y 1/2))
0.0b
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))
0.3b
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
0.4b
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))

rewrite34.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
16×sqrt-div_binary64_6915 *-un-lft-identity_binary64_6898
15×add-sqr-sqrt_binary64_6920
14×associate-*r*_binary64_6838
13×sqrt-prod_binary64_6914
12×pow1_binary64_6959
11×add-exp-log_binary64_6936 add-cbrt-cube_binary64_6934
10×add-cube-cbrt_binary64_6933 associate-*r/_binary64_6840
flip-+_binary64_6872 flip3-+_binary64_6901
add-log-exp_binary64_6937
prod-exp_binary64_6947 frac-times_binary64_6908 cbrt-unprod_binary64_6931 pow-prod-down_binary64_6969 associate-*l*_binary64_6839
distribute-lft-out_binary64_6849
associate-*l/_binary64_6841 unswap-sqr_binary64_6866 *-commutative_binary64_6829
rem-sqrt-square_binary64_6911 +-commutative_binary64_6828 sqrt-pow1_binary64_6916 sum-log_binary64_6989 pow1/2_binary64_6978
Counts
4 → 82
Calls

4 calls:

13.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
8.0ms
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
3.0ms
(sqrt.f64 (+.f64 y 1/2))
3.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))

series101.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

37.0ms
(*.f64 x (sqrt.f64 (+.f64 y 1/2)))
25.0ms
(*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2)))
24.0ms
(+.f64 z (*.f64 (*.f64 x (sqrt.f64 (+.f64 y 1/2))) (sqrt.f64 (+.f64 y 1/2))))
15.0ms
(sqrt.f64 (+.f64 y 1/2))

simplify79.0ms (3.3%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050741396

prune86.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498
Error
0b
Counts
98 → 4
Compiler

Compiled 1660 to 1145 computations (31% saved)

regimes153.0ms (6.5%)

Accuracy

Total 0.0b remaining (83.1%)

Threshold costs 0.0b (83.1%)

Compiler

Compiled 1463 to 1153 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01110
11110

end0.0ms (0%)

sample717.0ms (30.4%)

Algorithm
intervals
Results
230.0ms7999×body128valid
8.0ms303×body128invalid
0.0msbody1024valid
Compiler

Compiled 302 to 240 computations (20.5% saved)

Profiling

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