Details

Time bar (total: 13.1s)

analyze50.0ms (0.4%)

Algorithm
1×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
50%50%0.1%4
50%50%0.1%5
74.9%25%0.1%6
74.9%25%0.1%7
87.4%12.5%0.1%8
87.4%12.5%0.1%9
93.7%6.2%0.1%10
93.7%6.2%0.1%11
96.8%3.1%0.1%12
96.8%3.1%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample699.0ms (5.3%)

Results
661.0ms8256×body128valid
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
57×fma-neg_binary64
53×fma-def_binary64
23×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
067
187
2157
3247
4397
5635
61095
71555
82105
92705
103345
113625
123655
Stop Event
1×saturated
Counts
1 → 2

prune3.0ms (0%)

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
(-.f64 x (/.f64 y 200))
0.1b
(fma.f64 y -1/200 x)
Compiler

Compiled 37 to 25 computations (32.4% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (/.f64 y 200))

series4.0ms (0%)

Counts
1 → 24
Calls

1 calls:

4.0ms
(-.f64 x (/.f64 y 200))

rewrite41.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
709×log1p-expm1-u_binary64
709×expm1-log1p-u_binary64
488×prod-diff_binary64
71×add-sqr-sqrt_binary64
70×egg-rr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11397
218797
Stop Event
1×node limit
Counts
1 → 70
Calls

1 calls:

39.0ms
(-.f64 x (/.f64 y 200))

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
65×fma-def_binary64
50×fma-neg_binary64
26×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08141
114141
223105
337105
452105
576105
6124105
7168105
8214105
9271105
10313105
11317105
Stop Event
1×saturated
Counts
94 → 74

prune49.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New73174
Fresh011
Picked011
Done000
Total73376
Error
0.0b
Counts
76 → 3
Alt Table
StatusErrorProgram
30.6b
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))
✓0.0b
(-.f64 x (/.f64 y 200))
▶0.1b
(fma.f64 y -1/200 x)
Compiler

Compiled 1286 to 829 computations (35.5% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 y -1/200 x)

series3.0ms (0%)

Counts
1 → 24
Calls

1 calls:

3.0ms
(fma.f64 y -1/200 x)

rewrite29.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
417×log1p-expm1-u_binary64
417×expm1-log1p-u_binary64
365×pow1_binary64
210×unpow-prod-down_binary64
202×log-prod_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
11005
211165
Stop Event
1×node limit
Counts
1 → 39
Calls

1 calls:

28.0ms
(fma.f64 y -1/200 x)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
65×fma-def_binary64
50×fma-neg_binary64
26×cancel-sign-sub-inv_binary64
15×sub-neg_binary64
11×neg-mul-1_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
08141
114141
223105
337105
452105
576105
6124105
7168105
8214105
9271105
10313105
11317105
Stop Event
1×saturated
Counts
63 → 44

prune22.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New43144
Fresh011
Picked011
Done011
Total43447
Error
0b
Counts
47 → 4
Alt Table
StatusErrorProgram
▶30.6b
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))
✓0.0b
(-.f64 x (/.f64 y 200))
✓0.1b
(fma.f64 y -1/200 x)
35.8b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))
Compiler

Compiled 515 to 373 computations (27.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(sqrt.f64 (*.f64 y 1/200))
✓0.1b
(*.f64 y -1/200)
✓0.1b
(*.f64 y 1/200)
✓31.4b
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))

series20.0ms (0.2%)

Counts
4 → 27
Calls

4 calls:

12.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))
5.0ms
(sqrt.f64 (*.f64 y 1/200))
1.0ms
(*.f64 y 1/200)
1.0ms
(*.f64 y -1/200)

rewrite43.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
865×prod-diff_binary64
585×log1p-expm1-u_binary64
585×expm1-log1p-u_binary64
95×egg-rr
88×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0934
118524
2216724
Stop Event
1×node limit
Counts
4 → 95
Calls

4 calls:

41.0ms
(sqrt.f64 (*.f64 y 1/200))
41.0ms
(*.f64 y -1/200)
41.0ms
(*.f64 y 1/200)
41.0ms
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200))

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06108
18108
Stop Event
1×saturated
Counts
122 → 83

prune93.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh011
Picked011
Done022
Total1564160
Error
0b
Counts
160 → 4
Alt Table
StatusErrorProgram
✓30.6b
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))
✓0.0b
(-.f64 x (/.f64 y 200))
✓0.1b
(fma.f64 y -1/200 x)
▶35.8b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))
Compiler

Compiled 3488 to 2640 computations (24.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.2b
(cbrt.f64 (log.f64 (fma.f64 y -1/200 x)))
✓0.3b
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)
✓1.7b
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2))
✓3.1b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))

series11.3s (86%)

Counts
4 → 96
Calls

4 calls:

11.1s
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))
94.0ms
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2))
64.0ms
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)
40.0ms
(cbrt.f64 (log.f64 (fma.f64 y -1/200 x)))

rewrite48.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
757×log1p-expm1-u_binary64
757×expm1-log1p-u_binary64
158×log1p-udef_binary64
94×add-sqr-sqrt_binary64
90×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
122140
2218040
Stop Event
1×node limit
Counts
4 → 85
Calls

4 calls:

46.0ms
(cbrt.f64 (log.f64 (fma.f64 y -1/200 x)))
46.0ms
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)
46.0ms
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2))
46.0ms
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))

simplify128.0ms (1%)

Algorithm
1×egg-herbie
Rules
378×*-commutative_binary64
211×+-commutative_binary64
188×fma-def_binary64
167×sqr-pow_binary64
160×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092011525
1342410139
Stop Event
1×node limit
Counts
181 → 253

prune415.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3200320
Fresh000
Picked011
Done033
Total3204324
Error
0b
Counts
324 → 4
Alt Table
StatusErrorProgram
✓30.6b
(+.f64 (+.f64 x (*.f64 y -1/200)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 y 1/200))) (sqrt.f64 (*.f64 y 1/200)) (*.f64 y 1/200)))
✓0.0b
(-.f64 x (/.f64 y 200))
✓0.1b
(fma.f64 y -1/200 x)
✓35.8b
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))) 2)) (cbrt.f64 (log.f64 (fma.f64 y -1/200 x))))
Compiler

Compiled 20305 to 16020 computations (21.1% saved)

regimes36.0ms (0.3%)

Accuracy

Total 0.0b remaining (77.9%)

Threshold costs 0.0b (77.9%)

Counts
7 → 1
Compiler

Compiled 296 to 222 computations (25% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
2157
3197
4227
5237
Stop Event
1×saturated

end58.0ms (0.4%)

Compiler

Compiled 66 to 49 computations (25.8% saved)

Profiling

Loading profile data...