Details

Time bar (total: 5.8s)

analyze1.2s (20.9%)

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
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)

sample2.4s (41%)

Results
918.0ms6391×body128valid
585.0ms957×body1024valid
242.0ms574×body512valid
184.0ms1490×body128invalid
110.0ms198×body1024invalid
105.0ms326×body256valid
96.0ms216×body512invalid
44.0ms169×body256invalid
8.0msbody2048valid
Compiler

Compiled 50 to 32 computations (36% saved)

simplify47.0ms (0.8%)

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
3.9b
Counts
3 → 1
Alt Table
StatusErrorProgram
3.9b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
Compiler

Compiled 55 to 31 computations (43.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
0.0b
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
0.0b
(/.f64 y (+.f64 y z))
4.7b
(pow.f64 (/.f64 y (+.f64 y z)) y)

series265.0ms (4.6%)

Counts
4 → 108
Calls

4 calls:

167.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
54.0ms
(/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)
34.0ms
(pow.f64 (/.f64 y (+.f64 y z)) y)
10.0ms
(/.f64 y (+.f64 y z))

rewrite51.0ms (0.9%)

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:

16.0ms
(+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))
9.0ms
(/.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))

simplify170.0ms (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 → 427
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06129531
116539295
250349295

prune321.0ms (5.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4225427
Fresh000
Picked101
Done000
Total4235428
Error
0.0b
Counts
428 → 5
Alt Table
StatusErrorProgram
34.5b
(+.f64 x (*.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) y) (/.f64 (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 z y)) y) y)))
1.8b
(+.f64 x (/.f64 1 y))
28.0b
(+.f64 x (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) y) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))))) (*.f64 1/3 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y)))) y))
11.1b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
34.8b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))) (sqrt.f64 (+.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y))))
Compiler

Compiled 12698 to 4786 computations (62.3% 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:

5.0ms
(+.f64 x (/.f64 1 y))

simplify93.0ms (1.6%)

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

prune19.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh134
Picked011
Done000
Total28533
Error
0.0b
Counts
33 → 5
Alt Table
StatusErrorProgram
34.5b
(+.f64 x (*.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) y) (/.f64 (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 z y)) y) y)))
1.8b
(+.f64 x (/.f64 1 y))
28.0b
(+.f64 x (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) y) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))))) (*.f64 1/3 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y)))) y))
11.1b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
33.2b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 y))) (sqrt.f64 (+.f64 x (/.f64 1 y))))
Compiler

Compiled 496 to 318 computations (35.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series32.0ms (0.5%)

Counts
2 → 44
Calls

2 calls:

24.0ms
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
8.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
11×add-cube-cbrt_binary64
times-frac_binary64
add-cbrt-cube_binary64
Counts
2 → 48
Calls

2 calls:

5.0ms
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
4.0ms
(/.f64 (exp.f64 (neg.f64 z)) y)

simplify91.0ms (1.6%)

Algorithm
egg-herbie
Rules
559×associate-/l*_binary64
517×fma-neg_binary64
466×fma-def_binary64
340×associate-/l/_binary64
311×associate-*l/_binary64
Counts
92 → 81
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01051172
12401134
25851126
315431124
443961117
548901117
649781117

prune52.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done011
Total81586
Error
0.0b
Counts
86 → 5
Alt Table
StatusErrorProgram
34.5b
(+.f64 x (*.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) y) (/.f64 (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 z y)) y) y)))
1.8b
(+.f64 x (/.f64 1 y))
28.0b
(+.f64 x (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) y) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))))) (*.f64 1/3 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y)))) y))
11.1b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
33.2b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 y))) (sqrt.f64 (+.f64 x (/.f64 1 y))))
Compiler

Compiled 1309 to 478 computations (63.5% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
9.1b
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3))
10.1b
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4))
10.7b
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))
10.9b
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y))

series86.0ms (1.5%)

Counts
4 → 64
Calls

4 calls:

38.0ms
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y))
37.0ms
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))
6.0ms
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3))
4.0ms
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4))

rewrite36.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
44×add-exp-log_binary64
32×add-cbrt-cube_binary64
26×prod-exp_binary64
23×add-sqr-sqrt_binary64
19×associate-*r*_binary64
Counts
4 → 122
Calls

4 calls:

8.0ms
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))
8.0ms
(/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y))
7.0ms
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4))
7.0ms
(*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3))

simplify142.0ms (2.4%)

Algorithm
egg-herbie
Rules
536×fma-neg_binary64
471×associate-/l/_binary64
373×associate-/r/_binary64
299×fma-def_binary64
293×times-frac_binary64
Counts
186 → 207
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02143457
14922729
220912671
343772671
450042671

prune221.0ms (3.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2070207
Fresh022
Picked011
Done022
Total2075212
Error
0.0b
Counts
212 → 5
Alt Table
StatusErrorProgram
34.5b
(+.f64 x (*.f64 (pow.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) y) (/.f64 (pow.f64 (/.f64 (cbrt.f64 y) (+.f64 z y)) y) y)))
1.8b
(+.f64 x (/.f64 1 y))
28.0b
(+.f64 x (/.f64 (-.f64 (+.f64 (exp.f64 (neg.f64 z)) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 z z) (exp.f64 (neg.f64 z))) y) (*.f64 1/8 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 4)) (*.f64 y y))))) (*.f64 1/3 (/.f64 (*.f64 (exp.f64 (neg.f64 z)) (pow.f64 z 3)) (*.f64 y y)))) y))
11.1b
(+.f64 x (/.f64 (exp.f64 (neg.f64 z)) y))
33.2b
(*.f64 (sqrt.f64 (+.f64 x (/.f64 1 y))) (sqrt.f64 (+.f64 x (/.f64 1 y))))
Compiler

Compiled 10874 to 4587 computations (57.8% saved)

regimes415.0ms (7.1%)

Accuracy

Total 2.5b remaining (99.6%)

Threshold costs 0b (0%)

Counts
55 → 1
Compiler

Compiled 6307 to 3742 computations (40.7% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
287

end116.0ms (2%)

Compiler

Compiled 122 to 76 computations (37.7% saved)

Profiling

Loading profile data...