Details

Time bar (total: 2.6s)

analyze259.0ms (9.8%)

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)

sample19.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify9.0ms (0.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02013
12013

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite20.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 sum-log_binary64
flip3-+_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64
distribute-lft-out_binary64 associate-+l+_binary64
Counts
2 → 25
Calls

2 calls:

10.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
8.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))

series96.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

53.0ms
(+.f64 (/.f64 x 2) (*.f64 y x))
44.0ms
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

simplify76.0ms (2.9%)

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05008490

prune39.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New29231
Fresh000
Picked101
Done000
Total30232

Merged error: 0b

Counts
32 → 2
Compiler

Compiled 632 to 379 computations (40% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
associate-+l+_binary64
flip3-+_binary64 *-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 add-sqr-sqrt_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
1 → 13
Calls

1 calls:

7.0ms
(+.f64 (*.f64 x (+.f64 y 1/2)) z)

series44.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

44.0ms
(+.f64 (*.f64 x (+.f64 y 1/2)) z)

simplify68.0ms (2.6%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
05099228

prune18.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New15116
Fresh101
Picked011
Done000
Total16218

Merged error: 0b

Counts
18 → 2
Compiler

Compiled 287 to 194 computations (32.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
0.5b
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
0.5b
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

rewrite57.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
18×cbrt-div_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
flip3-+_binary64 pow1/3_binary64 flip-+_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64 frac-times_binary64
pow-prod-down_binary64 pow-prod-up_binary64 associate-*r/_binary64 pow-sqr_binary64 associate-*l/_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 87
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
7.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
7.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
7.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

series1.1s (41%)

Counts
4 → 12
Calls

4 calls:

417.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)) (cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z)))
224.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
221.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))
221.0ms
(cbrt.f64 (+.f64 (*.f64 x (+.f64 y 1/2)) z))

simplify100.0ms (3.8%)

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
049012627
149012627

prune173.0ms (6.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done011
Total992101

Merged error: 0b

Counts
101 → 2
Compiler

Compiled 3530 to 2411 computations (31.7% saved)

regimes30.0ms (1.1%)

Compiler

Compiled 105 to 99 computations (5.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01110
11110

end0.0ms (0%)

sample515.0ms (19.5%)

Algorithm
intervals
Results
240.0ms7999×body128valid
9.0ms305×body128invalid
0.0msbody1024valid
Compiler

Compiled 50 to 46 computations (8% saved)

Profiling

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