Details

Time bar (total: 2.8s)

analyze347.0ms (12.5%)

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
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)

sample932.0ms (33.5%)

Symmetry

(sort x y)

Results
803.0ms8256×body128valid
74.0ms779×body128invalid
Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.2%)

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

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
6.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
6.1b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 24 to 15 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.0b
(/.f64 (*.f64 x y) z)

series14.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

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

rewrite4.0ms (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:

3.0ms
(/.f64 (*.f64 x y) z)

simplify117.0ms (4.2%)

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

prune28.0ms (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
6.6b
(*.f64 x (/.f64 y z))
28.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
6.4b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 y (cbrt.f64 z)))
6.1b
(/.f64 (*.f64 x y) z)
33.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
6.3b
(/.f64 x (/.f64 z y))
6.2b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 491 to 189 computations (61.5% saved)

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.0b
(*.f64 (*.f64 x y) (/.f64 1 z))

series13.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite15.0ms (0.6%)

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:

13.0ms
(*.f64 (*.f64 x y) (/.f64 1 z))

simplify111.0ms (4%)

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

prune35.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New57158
Fresh145
Picked011
Done011
Total58765
Error
0.0b
Counts
65 → 7
Alt Table
StatusErrorProgram
7.0b
(*.f64 (*.f64 (*.f64 x y) (*.f64 (cbrt.f64 (/.f64 1 z)) (cbrt.f64 (/.f64 1 z)))) (cbrt.f64 (/.f64 1 z)))
6.3b
(/.f64 x (/.f64 z y))
6.6b
(*.f64 x (/.f64 y z))
28.5b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) (sqrt.f64 (/.f64 (*.f64 x y) z)))
6.1b
(/.f64 (*.f64 x y) z)
33.6b
(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
6.2b
(*.f64 (*.f64 x y) (/.f64 1 z))
Compiler

Compiled 878 to 438 computations (50.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
6.1b
(/.f64 x (/.f64 z y))

series14.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

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

rewrite9.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
75×times-frac_binary64
43×*-un-lft-identity_binary64
43×add-sqr-sqrt_binary64
43×add-cube-cbrt_binary64
13×associate-/r*_binary64
Counts
1 → 72
Calls

1 calls:

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

simplify99.0ms (3.6%)

Algorithm
egg-herbie
Rules
786×fma-def_binary64
737×fma-neg_binary64
483×*-commutative_binary64
349×associate-/r/_binary64
328×div-sub_binary64
Counts
108 → 111
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01491514
13121454
29131451
321831451
425131451
527151451
631891451
750691451

prune61.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1074111
Fresh314
Picked101
Done112
Total1126118
Error
0b
Counts
118 → 6
Alt Table
StatusErrorProgram
18.7b
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)))
32.7b
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (/.f64 (sqrt.f64 z) y)))
7.9b
(*.f64 (/.f64 x z) y)
6.6b
(*.f64 x (/.f64 y z))
6.3b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
6.1b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 1605 to 448 computations (72.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.3b
(/.f64 x (/.f64 1 y))
6.0b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

series18.0ms (0.6%)

Counts
2 → 60
Calls

2 calls:

14.0ms
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
4.0ms
(/.f64 x (/.f64 1 y))

rewrite41.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
173×times-frac_binary64
126×add-sqr-sqrt_binary64
93×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64
76×add-exp-log_binary64
Counts
2 → 183
Calls

2 calls:

18.0ms
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
4.0ms
(/.f64 x (/.f64 1 y))

simplify212.0ms (7.6%)

Algorithm
egg-herbie
Rules
546×fma-neg_binary64
405×associate-/l/_binary64
394×distribute-rgt-in_binary64
334×associate-/r/_binary64
290×fabs-mul_binary64
Counts
243 → 268
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01642799
13872499
212072499
322642499
424582499
528372499
635372499
747782499
849222499
947952499

prune136.0ms (4.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2680268
Fresh044
Picked011
Done011
Total2686274
Error
0b
Counts
274 → 6
Alt Table
StatusErrorProgram
18.7b
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 y))) (/.f64 z (sqrt.f64 y)))
32.7b
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 x (/.f64 (sqrt.f64 z) y)))
7.9b
(*.f64 (/.f64 x z) y)
6.6b
(*.f64 x (/.f64 y z))
6.3b
(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
6.1b
(/.f64 (*.f64 x y) z)
Compiler

Compiled 4609 to 2611 computations (43.3% saved)

regimes309.0ms (11.1%)

Accuracy

Total 1.3b remaining (98.6%)

Threshold costs 0b (0%)

Counts
50 → 3
Compiler

Compiled 4014 to 2371 computations (40.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02369
12669
22669

end231.0ms (8.3%)

Compiler

Compiled 256 to 126 computations (50.8% saved)

Profiling

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