Details

Time bar (total: 2.0s)

analyze458.0ms (22.9%)

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
18.7%81.1%0.1%8
31.2%68.6%0.1%9
40.6%52.7%6.8%10
48.4%42.1%9.5%11
54.2%35.5%10.3%12
59.1%26.6%14.3%13
63.9%20.9%15.3%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample933.0ms (46.6%)

Results
799.0ms8256×body128valid
52.0ms597×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify25.0ms (1.2%)

Algorithm
egg-herbie
Rules
278×fma-def_binary64
251×fma-neg_binary64
71×cancel-sign-sub-inv_binary64
55×distribute-rgt-in_binary64
41×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0710
1118
2248
3468
4818
51398
62128
73458
84878
96018
106618
116688
126258

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 (-.f64 y x) z x)
Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (-.f64 y x) z x)

series6.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

6.0ms
(fma.f64 (-.f64 y x) z x)

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 (-.f64 y x) z x)

simplify53.0ms (2.6%)

Algorithm
egg-herbie
Rules
762×neg-sub0_binary64
713×neg-mul-1_binary64
619×distribute-neg-out_binary64
618×distribute-rgt-neg-out_binary64
414×unsub-neg_binary64
Counts
46 → 29
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032472
166374
2141374
3350374
41783374
53599374
65394374

prune22.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New27229
Fresh000
Picked011
Done000
Total27330
Error
0b
Counts
30 → 3
Alt Table
StatusErrorProgram
38.5b
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))
0.0b
(fma.f64 (-.f64 y x) z x)
0.0b
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
Compiler

Compiled 316 to 101 computations (68% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y z) x)
0.0b
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))

series16.0ms (0.8%)

Counts
2 → 18
Calls

2 calls:

9.0ms
(+.f64 (*.f64 y z) x)
7.0ms
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
fma-neg_binary64
Counts
2 → 36
Calls

2 calls:

5.0ms
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
3.0ms
(+.f64 (*.f64 y z) x)

simplify65.0ms (3.3%)

Algorithm
egg-herbie
Rules
363×fma-def_binary64
298×associate-*l*_binary64
297×neg-mul-1_binary64
258×times-frac_binary64
254×associate-*r*_binary64
Counts
54 → 69
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
075629
1212515
2631493
32331492
44237492
55035492

prune28.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done011
Total69372
Error
0b
Counts
72 → 3
Alt Table
StatusErrorProgram
38.5b
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))
0.0b
(fma.f64 (-.f64 y x) z x)
0.0b
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
Compiler

Compiled 1058 to 238 computations (77.5% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (-.f64 y x) x)
0.2b
(pow.f64 (fma.f64 z (-.f64 y x) x) 3)
36.8b
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))

series67.0ms (3.4%)

Counts
3 → 108
Calls

3 calls:

54.0ms
(pow.f64 (fma.f64 z (-.f64 y x) x) 3)
7.0ms
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))
6.0ms
(fma.f64 z (-.f64 y x) x)

rewrite5.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
cube-prod_binary64
Counts
3 → 58
Calls

3 calls:

1.0ms
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))
1.0ms
(pow.f64 (fma.f64 z (-.f64 y x) x) 3)
0.0ms
(fma.f64 z (-.f64 y x) x)

simplify145.0ms (7.2%)

Algorithm
egg-herbie
Rules
768×cancel-sign-sub-inv_binary64
699×fma-neg_binary64
343×unswap-sqr_binary64
325×distribute-rgt-in_binary64
184×fma-def_binary64
Counts
166 → 98
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01544345
14683927
218193637
344593631
449823631
549793631

prune51.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh000
Picked011
Done022
Total983101
Error
0b
Counts
101 → 3
Alt Table
StatusErrorProgram
38.5b
(cbrt.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) 3))
0.0b
(fma.f64 (-.f64 y x) z x)
0.0b
(-.f64 (+.f64 (*.f64 y z) x) (*.f64 z x))
Compiler

Compiled 2273 to 1191 computations (47.6% saved)

regimes54.0ms (2.7%)

Accuracy

Total 0.0b remaining (70.8%)

Threshold costs 0.0b (70.8%)

Counts
14 → 1
Compiler

Compiled 576 to 342 computations (40.6% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
068
188
2138
3158
4168
5168

end42.0ms (2.1%)

Compiler

Compiled 51 to 30 computations (41.2% saved)

Profiling

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