Details

Time bar (total: 2.3s)

analyze362.0ms (15.8%)

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
0%99.9%0.1%6
31.2%68.6%0.1%7
37.4%62.4%0.1%8
40.6%57.7%1.7%9
54.6%41.3%4%10
59.3%36.7%4%11
61.6%32.6%5.8%12
68.3%22.7%9%13
71%20%9%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample878.0ms (38.2%)

Symmetry

(sort x y)

Results
769.0ms8256×body128valid
75.0ms768×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2137
3167
4177
5177

prune3.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.6b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.3b
(/.f64 (*.f64 x y) z)

series11.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

11.0ms
(/.f64 (*.f64 x y) z)

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
associate-/r*_binary64
*-un-lft-identity_binary64
times-frac_binary64
Counts
1 → 23
Calls

1 calls:

4.0ms
(/.f64 (*.f64 x y) z)

simplify109.0ms (4.7%)

Algorithm
egg-herbie
Rules
1034×associate-/r/_binary64
1020×div-sub_binary64
899×associate-/r*_binary64
356×associate-/l*_binary64
354×sub-neg_binary64
Counts
59 → 36
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053513
1118468
2408468
31644468
41898468
52032468
62452468
73371468
83480468
94398468
104999468
114859468

prune25.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New30636
Fresh000
Picked011
Done000
Total30737
Error
0.0b
Counts
37 → 7
Alt Table
StatusErrorProgram
7.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
33.7b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
8.1b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.3b
(*.f64 x (/.f64 y z))
7.7b
(/.f64 x (/.f64 z y))
34.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
7.6b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 473 to 187 computations (60.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.1b
(*.f64 x (/.f64 y z))

series13.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

13.0ms
(*.f64 x (/.f64 y z))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×times-frac_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 34
Calls

1 calls:

5.0ms
(*.f64 x (/.f64 y z))

simplify113.0ms (4.9%)

Algorithm
egg-herbie
Rules
736×fabs-mul_binary64
732×sqr-pow_binary64
503×pow-sqr_binary64
384×associate-/l/_binary64
307×unswap-sqr_binary64
Counts
70 → 50
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072642
1162597
2526597
31312597
42135597
52239597
62445597
72751597
83643597
94500597
104489597
115931597

prune26.0ms (1.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh055
Picked011
Done011
Total49857
Error
0.0b
Counts
57 → 8
Alt Table
StatusErrorProgram
7.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
33.7b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
8.1b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.3b
(*.f64 x (/.f64 y z))
7.7b
(/.f64 x (/.f64 z y))
34.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
7.6b
(/.f64 (*.f64 x y) z)
8.1b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 y z)))
Compiler

Compiled 689 to 249 computations (63.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
7.4b
(*.f64 (*.f64 x y) (/.f64 1 z))

series14.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

14.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
23×add-exp-log_binary64
13×associate-*r*_binary64
13×add-cbrt-cube_binary64
12×prod-exp_binary64
times-frac_binary64
Counts
1 → 40
Calls

1 calls:

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

simplify105.0ms (4.6%)

Algorithm
egg-herbie
Rules
714×times-frac_binary64
499×fabs-mul_binary64
408×pow-sqr_binary64
379×associate-/r*_binary64
375×sqr-pow_binary64
Counts
76 → 58
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069678
1157600
2507600
31128600
42644600
53000600
63364600
73866600
84570600
94685600
105107600

prune31.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New57158
Fresh145
Picked011
Done022
Total58866
Error
0.0b
Counts
66 → 8
Alt Table
StatusErrorProgram
7.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
33.7b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
7.4b
(*.f64 x (*.f64 y (/.f64 1 z)))
8.1b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.3b
(*.f64 x (/.f64 y z))
7.7b
(/.f64 x (/.f64 z y))
34.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
7.6b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 860 to 429 computations (50.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(*.f64 y (/.f64 1 z))
7.1b
(*.f64 x (*.f64 y (/.f64 1 z)))

series17.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

11.0ms
(*.f64 x (*.f64 y (/.f64 1 z)))
5.0ms
(*.f64 y (/.f64 1 z))

rewrite27.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
26×add-exp-log_binary64
18×add-sqr-sqrt_binary64
16×add-cbrt-cube_binary64
14×associate-*r*_binary64
13×prod-exp_binary64
Counts
2 → 64
Calls

2 calls:

18.0ms
(*.f64 x (*.f64 y (/.f64 1 z)))
5.0ms
(*.f64 y (/.f64 1 z))

simplify92.0ms (4%)

Algorithm
egg-herbie
Rules
547×associate-/r*_binary64
469×associate-/l/_binary64
452×associate-*l*_binary64
411×sqr-pow_binary64
384×*-commutative_binary64
Counts
124 → 92
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087930
1180825
2497825
31363825
42065825
53509825
63839825
74364825
85026825

prune49.0ms (2.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh044
Picked011
Done033
Total928100
Error
0.0b
Counts
100 → 8
Alt Table
StatusErrorProgram
7.6b
(*.f64 (*.f64 x y) (/.f64 1 z))
33.7b
(/.f64 (*.f64 y (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
7.4b
(*.f64 x (*.f64 y (/.f64 1 z)))
8.1b
(/.f64 1 (/.f64 z (*.f64 x y)))
7.3b
(*.f64 x (/.f64 y z))
7.7b
(/.f64 x (/.f64 z y))
34.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
7.6b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 1177 to 620 computations (47.3% saved)

regimes148.0ms (6.4%)

Accuracy

Total 0.6b remaining (97%)

Threshold costs 0.6b (97%)

Counts
17 → 5
Compiler

Compiled 1313 to 731 computations (44.3% saved)

bsearch1.0ms (0%)

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
/-rgt-identity_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371
12771
22671

end226.0ms (9.8%)

Compiler

Compiled 286 to 126 computations (55.9% saved)

Profiling

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