Details

Time bar (total: 4.7s)

analyze905.0ms (19.1%)

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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample38.0ms (0.8%)

Algorithm
intervals
Results
18.0ms256×body128valid
2.0ms29×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify147.0ms (3.1%)

Algorithm
egg-herbie
Rules
1119×div-sub_binary64
816×fma-def_binary64
804×fma-neg_binary64
517×neg-mul-1_binary64
483×neg-sub0_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
22710
35710
411110
518010
631210
797710
8316610
9372510
10415010
11478610
12480310
13495810
14538710

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
12.0b
(/.f64 (*.f64 x (-.f64 y z)) y)
Compiler

Compiled 30 to 18 computations (40% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 x (-.f64 y z))
11.4b
(/.f64 (*.f64 x (-.f64 y z)) y)

series36.0ms (0.8%)

Counts
2 → 72
Calls

2 calls:

24.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
12.0ms
(*.f64 x (-.f64 y z))

rewrite34.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64
18×prod-diff_binary64
13×distribute-lft-in_binary64
Counts
2 → 75
Calls

2 calls:

14.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
10.0ms
(*.f64 x (-.f64 y z))

simplify132.0ms (2.8%)

Algorithm
egg-herbie
Rules
419×fma-neg_binary64
321×div-sub_binary64
313×associate-*l/_binary64
290×associate-/r*_binary64
263×fma-def_binary64
Counts
147 → 108
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01571568
12981439
211581383
337741383
449271383
550981383

prune108.0ms (2.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1026108
Fresh000
Picked101
Done000
Total1036109
Error
0.0b
Counts
109 → 6
Alt Table
StatusErrorProgram
4.9b
(-.f64 x (/.f64 (*.f64 z x) y))
2.7b
(/.f64 x (/.f64 y (-.f64 y z)))
37.1b
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (*.f64 z z))) (*.f64 y (+.f64 y z)))
7.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
12.1b
(*.f64 (*.f64 x (-.f64 y z)) (/.f64 1 y))
3.1b
(*.f64 x (/.f64 (-.f64 y z) y))
Compiler

Compiled 1789 to 523 computations (70.8% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 y z))
2.5b
(/.f64 x (/.f64 y (-.f64 y z)))

series47.0ms (1%)

Counts
2 → 60
Calls

2 calls:

25.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
22.0ms
(/.f64 y (-.f64 y z))

rewrite50.0ms (1%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
102×*-un-lft-identity_binary64
102×add-sqr-sqrt_binary64
70×add-cube-cbrt_binary64
26×associate-/r*_binary64
Counts
2 → 143
Calls

2 calls:

12.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
10.0ms
(/.f64 y (-.f64 y z))

simplify217.0ms (4.6%)

Algorithm
egg-herbie
Rules
862×fma-def_binary64
516×associate-/r/_binary64
497×times-frac_binary64
463×associate-/l*_binary64
459×associate-/l/_binary64
Counts
203 → 210
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02483761
15403647
219173540
347513528
453543528

prune220.0ms (4.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2055210
Fresh325
Picked101
Done000
Total2097216
Error
0b
Counts
216 → 7
Alt Table
StatusErrorProgram
34.7b
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (+.f64 y z)))
2.7b
(*.f64 1 (/.f64 x (/.f64 y (-.f64 y z))))
10.8b
(*.f64 (/.f64 x y) (-.f64 y z))
12.0b
(*.f64 1 (/.f64 (*.f64 (-.f64 y z) x) y))
34.0b
(*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 x (/.f64 y (sqrt.f64 (-.f64 y z)))))
3.1b
(*.f64 x (/.f64 (-.f64 y z) y))
7.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
Compiler

Compiled 3729 to 901 computations (75.8% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 y (-.f64 y z))
2.5b
(/.f64 x (/.f64 y (-.f64 y z)))

prune196.0ms (4.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2100210
Fresh066
Picked011
Done000
Total2107217
Error
0b
Counts
217 → 7
Alt Table
StatusErrorProgram
34.7b
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (+.f64 y z)))
2.7b
(*.f64 1 (/.f64 x (/.f64 y (-.f64 y z))))
10.8b
(*.f64 (/.f64 x y) (-.f64 y z))
12.0b
(*.f64 1 (/.f64 (*.f64 (-.f64 y z) x) y))
34.0b
(*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 x (/.f64 y (sqrt.f64 (-.f64 y z)))))
3.1b
(*.f64 x (/.f64 (-.f64 y z) y))
7.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
Compiler

Compiled 4137 to 1313 computations (68.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 y z) y)
3.0b
(*.f64 x (/.f64 (-.f64 y z) y))

series31.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

22.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
9.0ms
(/.f64 (-.f64 y z) y)

rewrite35.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
31×times-frac_binary64
22×add-cube-cbrt_binary64
19×associate-*r*_binary64
Counts
2 → 80
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
11.0ms
(/.f64 (-.f64 y z) y)

simplify134.0ms (2.8%)

Algorithm
egg-herbie
Rules
848×fma-def_binary64
513×associate-/r/_binary64
290×associate-*l*_binary64
276×associate-*l/_binary64
268×associate-*r/_binary64
Counts
140 → 115
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201631
12751534
28711532
326101532
448321532
549771532

prune113.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1150115
Fresh055
Picked011
Done011
Total1157122
Error
0b
Counts
122 → 7
Alt Table
StatusErrorProgram
34.7b
(*.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) y) (/.f64 x (+.f64 y z)))
2.7b
(*.f64 1 (/.f64 x (/.f64 y (-.f64 y z))))
10.8b
(*.f64 (/.f64 x y) (-.f64 y z))
12.0b
(*.f64 1 (/.f64 (*.f64 (-.f64 y z) x) y))
34.0b
(*.f64 (sqrt.f64 (-.f64 y z)) (/.f64 x (/.f64 y (sqrt.f64 (-.f64 y z)))))
3.1b
(*.f64 x (/.f64 (-.f64 y z) y))
7.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (-.f64 y z) (cbrt.f64 y)))
Compiler

Compiled 1667 to 462 computations (72.3% saved)

regimes908.0ms (19.2%)

Accuracy

Total 2.6b remaining (99.6%)

Threshold costs 0b (0%)

Counts
77 → 3
Compiler

Compiled 4646 to 2686 computations (42.2% saved)

bsearch62.0ms (1.3%)

Steps
ItersRangePoint
8
1.5065676088468328e-199
1.631477822442049e-196
1.5271497062397503e-199
8
-9.143330131025417e-52
-1.3782359536744465e-55
-1.3984342212002436e-55
Compiler

Compiled 4 to 3 computations (25% saved)

simplify35.0ms (0.7%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
*-lft-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02146
13046
23446
33646
43746
53646

end1.0ms (0%)

Compiler

Compiled 33 to 18 computations (45.5% saved)

sample1.2s (26.2%)

Algorithm
intervals
Results
550.0ms8000×body128valid
48.0ms743×body128invalid
Compiler

Compiled 142 to 83 computations (41.5% saved)

Profiling

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