Details

Time bar (total: 2.2s)

analyze481.0ms (21.5%)

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
12.5%87.4%0.1%7
25%74.9%0.1%8
28.1%68.6%3.3%9
40.6%52.3%7.2%10
49.1%42.1%8.7%11
51.5%37.3%11.3%12
59.1%27.1%13.8%13
63.7%21.9%14.4%14
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (46.1%)

Results
870.0ms8256×body128valid
69.0ms707×body128invalid
Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify25.0ms (1.1%)

Algorithm
egg-herbie
Rules
299×fma-neg_binary64
252×fma-def_binary64
95×cancel-sign-sub-inv_binary64
42×distribute-rgt-neg-in_binary64
41×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911
11811
22811
33710
45310
57710
611510
717610
834910
951610
1059410
1166510
1267010
1362710

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 y z) (neg.f64 z))
0.0b
(+.f64 (*.f64 x y) (*.f64 (-.f64 x 1) z))
Compiler

Compiled 63 to 39 computations (38.1% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (+.f64 y z) (neg.f64 z))

series7.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

7.0ms
(fma.f64 x (+.f64 y z) (neg.f64 z))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 x (+.f64 y z) (neg.f64 z))

simplify62.0ms (2.8%)

Algorithm
egg-herbie
Rules
639×distribute-rgt-in_binary64
639×neg-mul-1_binary64
617×distribute-lft-in_binary64
453×unsub-neg_binary64
338×distribute-rgt-neg-out_binary64
Counts
46 → 28
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031471
155450
2130450
3459450
42525450
54192450
65071450

prune19.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh101
Picked011
Done000
Total28230
Error
0b
Counts
30 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 y z) (neg.f64 z))
41.5b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z))))
Compiler

Compiled 344 to 88 computations (74.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 x (+.f64 y z) (neg.f64 z))
0.1b
(*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z)))
0.2b
(*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z)))
39.5b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z))))

series130.0ms (5.8%)

Counts
3 → 108
Calls

3 calls:

90.0ms
(*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z)))
27.0ms
(*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z)))
12.0ms
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z))))

rewrite18.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
13×add-cbrt-cube_binary64
11×add-sqr-sqrt_binary64
10×add-exp-log_binary64
*-un-lft-identity_binary64
Counts
3 → 74
Calls

3 calls:

5.0ms
(*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z)))
4.0ms
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z))))
3.0ms
(*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z)))

simplify161.0ms (7.2%)

Algorithm
egg-herbie
Rules
848×cancel-sign-sub-inv_binary64
725×fma-neg_binary64
240×unswap-sqr_binary64
230×associate-*r*_binary64
222×fma-def_binary64
Counts
182 → 160
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01866880
15695595
223674916
341244835
449784835

prune101.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2440244
Fresh000
Picked011
Done011
Total2442246
Error
0b
Counts
246 → 2
Alt Table
StatusErrorProgram
0.0b
(fma.f64 x (+.f64 y z) (neg.f64 z))
41.5b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 x (+.f64 y z) (neg.f64 z)) (fma.f64 x (+.f64 y z) (neg.f64 z))) (fma.f64 x (+.f64 y z) (neg.f64 z))))
Compiler

Compiled 7053 to 1772 computations (74.9% saved)

regimes139.0ms (6.2%)

Accuracy

Total 0.0b remaining (8.3%)

Threshold costs 0.0b (8.3%)

Counts
36 → 1
Compiler

Compiled 2380 to 1350 computations (43.3% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21410
31510
41510

end43.0ms (1.9%)

Compiler

Compiled 57 to 27 computations (52.6% saved)

Profiling

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