Details

Time bar (total: 4.4s)

analyze1.2s (28.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
10.1%89.6%0.2%11
15.2%84.6%0.2%12
20.5%79.3%0.2%13
21.6%77.1%1.3%14
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (31.6%)

Results
947.0ms8256×body128valid
377.0ms2573×body128invalid
Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify47.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
944×fma-def_binary64
719×fma-neg_binary64
235×cancel-sign-sub-inv_binary64
165×distribute-rgt-in_binary64
116×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01013
11613
23111
36511
415111
531511
654611
797311
8185411
9273611
10357211
11374811
12379311
13383811
14383811
Stop Event
1×saturated
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
5.2b
(fma.f64 y (/.f64 (-.f64 z t) a) x)
▶4.1b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 76 to 45 computations (40.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
✓4.8b
(/.f64 (*.f64 y (-.f64 z t)) a)

series45.0ms (1%)

Counts
2 → 108
Calls

2 calls:

26.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
19.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite56.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
370×fma-def_binary64
218×expm1-udef_binary64
218×log1p-udef_binary64
199×fma-neg_binary64
190×log-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01023
122523
2339421
Stop Event
1×node limit
Counts
2 → 109
Calls

2 calls:

54.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
54.0ms
(/.f64 (*.f64 y (-.f64 z t)) a)

simplify92.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
683×fma-neg_binary64
573×fma-def_binary64
226×cancel-sign-sub-inv_binary64
147×distribute-rgt-in_binary64
140×unsub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0311420
1791150
21831148
34291058
49081058
516281058
627351058
733441058
834651058
934881058
1034931058
1134971058
Stop Event
1×saturated
Counts
217 → 127

prune79.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1243127
Fresh101
Picked011
Done000
Total1254129
Error
0.0b
Counts
129 → 4
Alt Table
StatusErrorProgram
▶3.8b
(fma.f64 (-.f64 z t) (/.f64 y a) x)
4.1b
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)
5.2b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)
✓4.1b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 1954 to 562 computations (71.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓3.6b
(fma.f64 (-.f64 z t) (/.f64 y a) x)

series21.0ms (0.5%)

Counts
1 → 60
Calls

1 calls:

21.0ms
(fma.f64 (-.f64 z t) (/.f64 y a) x)

rewrite45.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
499×log-prod_binary64
446×prod-diff_binary64
200×fma-def_binary64
188×expm1-udef_binary64
188×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
119411
2269211
Stop Event
1×node limit
Counts
1 → 29
Calls

1 calls:

44.0ms
(fma.f64 (-.f64 z t) (/.f64 y a) x)

simplify74.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
690×fma-neg_binary64
200×cancel-sign-sub-inv_binary64
102×div-sub_binary64
94×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025964
158694
2135680
3310590
4619590
51070590
61847590
72933590
83274590
93310590
103340590
113345590
123345590
Stop Event
1×saturated
Counts
89 → 45

prune21.0ms (0.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done011
Total45449
Error
0.0b
Counts
49 → 4
Alt Table
StatusErrorProgram
✓3.8b
(fma.f64 (-.f64 z t) (/.f64 y a) x)
▶4.1b
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)
5.2b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)
✓4.1b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 641 to 184 computations (71.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓4.0b
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)

series23.0ms (0.5%)

Counts
1 → 60
Calls

1 calls:

23.0ms
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)

rewrite42.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
433×prod-diff_binary64
210×fma-def_binary64
206×expm1-udef_binary64
206×log1p-udef_binary64
185×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01114
122713
2289913
Stop Event
1×node limit
Counts
1 → 26
Calls

1 calls:

41.0ms
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)

simplify75.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
704×fma-def_binary64
690×fma-neg_binary64
200×cancel-sign-sub-inv_binary64
102×div-sub_binary64
94×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025964
158694
2135680
3311590
4620590
51074590
61853590
72937590
83277590
93313590
103343590
113348590
123348590
Stop Event
1×saturated
Counts
86 → 42

prune19.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New42042
Fresh011
Picked011
Done022
Total42446
Error
0.0b
Counts
46 → 4
Alt Table
StatusErrorProgram
✓3.8b
(fma.f64 (-.f64 z t) (/.f64 y a) x)
✓4.1b
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)
▶5.2b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)
✓4.1b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 580 to 162 computations (72.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 a (-.f64 z t))
✓0.3b
(/.f64 1 (/.f64 a (-.f64 z t)))
✓4.9b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)

series59.0ms (1.3%)

Counts
3 → 120
Calls

3 calls:

35.0ms
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)
14.0ms
(/.f64 a (-.f64 z t))
9.0ms
(/.f64 1 (/.f64 a (-.f64 z t)))

rewrite55.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
446×prod-diff_binary64
214×expm1-udef_binary64
214×log1p-udef_binary64
206×fma-def_binary64
121×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01131
123525
2318425
Stop Event
1×node limit
Counts
3 → 103
Calls

3 calls:

53.0ms
(/.f64 a (-.f64 z t))
53.0ms
(/.f64 1 (/.f64 a (-.f64 z t)))
53.0ms
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)

simplify49.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
609×fma-neg_binary64
581×cancel-sign-sub-inv_binary64
192×times-frac_binary64
182×associate-/l*_binary64
180×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0681798
11851528
25431418
323771376
Stop Event
1×node limit
Counts
223 → 139

prune85.0ms (1.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1390139
Fresh000
Picked011
Done033
Total1394143
Error
0.0b
Counts
143 → 4
Alt Table
StatusErrorProgram
✓3.8b
(fma.f64 (-.f64 z t) (/.f64 y a) x)
✓4.1b
(fma.f64 (*.f64 y (-.f64 z t)) (/.f64 1 a) x)
✓5.2b
(fma.f64 y (/.f64 1 (/.f64 a (-.f64 z t))) x)
✓4.1b
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
Compiler

Compiled 2017 to 768 computations (61.9% saved)

regimes803.0ms (18.1%)

Accuracy

Total 0.3b remaining (92.1%)

Threshold costs 0.3b (92.1%)

Counts
38 → 3
Compiler

Compiled 4592 to 3105 computations (32.4% saved)

bsearch1.0ms (0%)

Compiler

Compiled 10 to 7 computations (30% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
13364
23764
33964
44064
Stop Event
1×saturated

end62.0ms (1.4%)

Compiler

Compiled 155 to 81 computations (47.7% saved)

Profiling

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