Details

Time bar (total: 5.2s)

analyze1.3s (24.1%)

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
0%99.9%0.1%6
0%99.9%0.1%7
0%99.9%0.1%8
2.3%91.3%6.4%9
3.5%87%9.5%10
4.1%86.4%9.5%11
18.4%66.6%15%12
20.5%61.8%17.7%13
21.9%60.4%17.7%14
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample2.5s (48.1%)

Results
950.0ms6353×body128valid
669.0ms1006×body1024valid
265.0ms577×body512valid
183.0ms1434×body128invalid
108.0ms260×body512invalid
106.0ms179×body1024invalid
88.0ms316×body256valid
43.0ms152×body256invalid
4.0msbody2048valid
Compiler

Compiled 50 to 32 computations (36% saved)

simplify54.0ms (1%)

Algorithm
egg-herbie
Rules
851×fma-def_binary64
522×unswap-sqr_binary64
335×fma-neg_binary64
256×associate-*l*_binary64
216×associate-*r*_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01120
11916
22816
35616
411916
528016
667216
7228416
8439816
9495316

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
6.2b
Counts
3 → 1
Alt Table
StatusErrorProgram
6.2b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Compiler

Compiled 55 to 31 computations (43.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b
(/.f64 y (+.f64 y z))
6.3b
(pow.f64 (/.f64 y (+.f64 y z)) y)

series152.0ms (2.9%)

Counts
4 → 108
Calls

4 calls:

82.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
36.0ms
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
27.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)
7.0ms
(/.f64 y (+.f64 y z))

rewrite52.0ms (1%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
122×*-un-lft-identity_binary64
90×unpow-prod-down_binary64
82×add-sqr-sqrt_binary64
82×add-cube-cbrt_binary64
Counts
4 → 195
Calls

4 calls:

18.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
8.0ms
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
5.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)
3.0ms
(/.f64 y (+.f64 y z))

simplify151.0ms (2.9%)

Algorithm
egg-herbie
Rules
385×fma-def_binary64
358×times-frac_binary64
355×associate-/l*_binary64
264×associate-/r*_binary64
248×associate-*r*_binary64
Counts
303 → 430
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06129531
116539295
250349295

prune266.0ms (5.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4273430
Fresh000
Picked011
Done000
Total4274431
Error
0.0b
Counts
431 → 4
Alt Table
StatusErrorProgram
6.2b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
10.9b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
1.5b
(+.f64 x (/.f64 1 y))
44.8b
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
Compiler

Compiled 12559 to 4719 computations (62.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 1 y))

series4.0ms (0.1%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(+.f64 x (/.f64 1 y))

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-log-exp_binary64
fma-def_binary64
distribute-lft-out_binary64
add-sqr-sqrt_binary64
Counts
1 → 18
Calls

1 calls:

4.0ms
(+.f64 x (/.f64 1 y))

simplify91.0ms (1.8%)

Algorithm
egg-herbie
Rules
572×unswap-sqr_binary64
448×fma-neg_binary64
321×fma-def_binary64
284×distribute-rgt-in_binary64
282×associate-+l+_binary64
Counts
42 → 28
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030322
188302
2189299
3419299
41068299
52246299
63475299
74871299
84894299
94906299

prune14.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New28028
Fresh022
Picked011
Done011
Total28432
Error
0.0b
Counts
32 → 4
Alt Table
StatusErrorProgram
6.2b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
10.9b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
1.5b
(+.f64 x (/.f64 1 y))
44.8b
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
Compiler

Compiled 362 to 244 computations (32.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (exp.f64 (neg.f64 z)) y)

series7.0ms (0.1%)

Counts
1 → 8
Calls

1 calls:

7.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite5.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 31
Calls

1 calls:

4.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

simplify73.0ms (1.4%)

Algorithm
egg-herbie
Rules
998×fma-neg_binary64
511×fma-def_binary64
397×div-sub_binary64
389×associate-/l*_binary64
297×unswap-sqr_binary64
Counts
39 → 46
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
075565
1149524
2369516
3905516
42769509
54190509
65158509

prune37.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh011
Picked101
Done022
Total46450
Error
0b
Counts
50 → 4
Alt Table
StatusErrorProgram
10.9b
(+.f64 x (/.f64 1 (/.f64 y (exp.f64 (neg.f64 z)))))
6.2b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
1.5b
(+.f64 x (/.f64 1 y))
44.8b
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
Compiler

Compiled 704 to 280 computations (60.2% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (/.f64 y (exp.f64 (neg.f64 z))))
0.0b
(/.f64 y (exp.f64 (neg.f64 z)))

series24.0ms (0.5%)

Counts
2 → 32
Calls

2 calls:

17.0ms
(/.f64 y (exp.f64 (neg.f64 z)))
7.0ms
(/.f64 1 (/.f64 y (exp.f64 (neg.f64 z))))

rewrite17.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
90×times-frac_binary64
54×*-un-lft-identity_binary64
54×add-sqr-sqrt_binary64
54×add-cube-cbrt_binary64
18×associate-/r*_binary64
Counts
2 → 117
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 y (exp.f64 (neg.f64 z))))
3.0ms
(/.f64 y (exp.f64 (neg.f64 z)))

simplify107.0ms (2.1%)

Algorithm
egg-herbie
Rules
752×fma-def_binary64
414×fma-neg_binary64
367×associate-/r/_binary64
361×associate-/l/_binary64
171×div-sub_binary64
Counts
149 → 181
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01352318
12601998
26521966
318441958
443531930
548881930

prune104.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1810181
Fresh011
Picked011
Done022
Total1814185
Error
0b
Counts
185 → 4
Alt Table
StatusErrorProgram
10.9b
(+.f64 x (/.f64 1 (/.f64 y (exp.f64 (neg.f64 z)))))
6.2b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
1.5b
(+.f64 x (/.f64 1 y))
44.8b
(-.f64 (+.f64 (/.f64 1 y) (+.f64 (log.f64 y) x)) (log.f64 z))
Compiler

Compiled 3042 to 1236 computations (59.4% saved)

regimes189.0ms (3.6%)

Accuracy

Total 2.0b remaining (98.7%)

Threshold costs 0b (0%)

Counts
32 → 3
Compiler

Compiled 2542 to 1592 computations (37.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02476
13176
23076

end61.0ms (1.2%)

Compiler

Compiled 154 to 87 computations (43.5% saved)

Profiling

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