Details

Time bar (total: 3.7s)

analyze384.0ms (10.3%)

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%74.9%25.1%6
6.2%68.6%25.1%7
9.4%65.5%25.1%8
14%35.9%50.1%9
21.1%28.9%50.1%10
24.6%25.4%50.1%11
28.7%21.3%50.1%12
33.4%16.5%50.1%13
35.8%14.1%50.1%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.1s (29.7%)

Results
1.1s8255×body128valid
4.0ms37×body128invalid
0.0msbody256valid
Compiler

Compiled 32 to 22 computations (31.3% saved)

preprocess55.0ms (1.5%)

Algorithm
egg-herbie
Rules
530×sub-neg_binary64
370×+-commutative_binary64
363×fma-def_binary64
188×associate-+l-_binary64
183×associate-+l+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02672
17572
224264
3106264
4317164
5490764
033
Stop Event
saturated
node limit
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify33.0ms (0.9%)

Algorithm
egg-herbie
Rules
780×fma-neg_binary64
402×fma-def_binary64
312×cancel-sign-sub-inv_binary64
267×sub-neg_binary64
242×unsub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12518
27716
331216
494716
5280816
6440416
7489416
Stop Event
node limit
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
0.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.1b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Compiler

Compiled 84 to 53 computations (36.9% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
0.2b
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

series131.0ms (3.5%)

Counts
2 → 48
Calls

12 calls:

37.0ms
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
x
inf
23.0ms
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
y
-inf
16.0ms
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
z
0
12.0ms
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
x
0
10.0ms
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))
x
-inf

rewrite70.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
484×fma-def_binary64
233×fma-neg_binary64
219×expm1-udef_binary64
219×log1p-udef_binary64
120×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
123126
2328826
Stop Event
node limit
Counts
2 → 108

simplify34.0ms (0.9%)

Algorithm
egg-herbie
Rules
765×fma-def_binary64
567×associate--l+_binary64
463×associate-+l-_binary64
308×sub-neg_binary64
300×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
058694
1177628
2530628
31687608
Stop Event
node limit
Counts
156 → 130

prune124.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1228130
Fresh101
Picked101
Done000
Total1248132
Error
0.0b
Counts
132 → 8
Alt Table
StatusErrorProgram
0.1b
(+.f64 y (-.f64 x (fma.f64 (log.f64 y) (+.f64 y 1/2) z)))
47.8b
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) 3) (pow.f64 z 3)) (fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (fma.f64 z z (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))
38.6b
(*.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 2) (pow.f64 (-.f64 x z) 2)) (/.f64 1 (-.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) (-.f64 x z))))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
0.5b
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
29.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.1b
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
Compiler

Compiled 2728 to 1370 computations (49.8% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
0.2b
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)

series81.0ms (2.2%)

Counts
1 → 36
Calls

9 calls:

16.0ms
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
z
0
14.0ms
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
x
0
11.0ms
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
z
-inf
10.0ms
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
x
inf
10.0ms
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
x
-inf

rewrite45.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
588×prod-diff_binary64
278×fma-def_binary64
210×expm1-udef_binary64
210×log1p-udef_binary64
149×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01117
123316
2298016
Stop Event
node limit
Counts
1 → 24

simplify40.0ms (1.1%)

Algorithm
egg-herbie
Rules
596×fma-def_binary64
507×associate--l+_binary64
405×associate-+l-_binary64
271×sub-neg_binary64
263×associate--r+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049558
1145496
2441496
31444494
44581494
Stop Event
node limit
Counts
60 → 41

prune94.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh257
Picked011
Done000
Total75883
Error
0.0b
Counts
83 → 8
Alt Table
StatusErrorProgram
0.5b
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) (+.f64 y (-.f64 x z)))
0.1b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
47.8b
(/.f64 (-.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) 3) (pow.f64 z 3)) (fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) (fma.f64 z z (*.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x)) z))))
0.1b
(-.f64 (+.f64 y (+.f64 (*.f64 y (log.f64 (/.f64 1 y))) (+.f64 x (*.f64 1/2 (log.f64 (/.f64 1 y)))))) z)
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
29.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.1b
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
Compiler

Compiled 1548 to 840 computations (45.7% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))
0.1b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
0.3b
(*.f64 y (log.f64 y))

series190.0ms (5.1%)

Counts
3 → 38
Calls

15 calls:

27.0ms
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
z
0
24.0ms
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
0
21.0ms
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
-inf
21.0ms
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
x
inf
18.0ms
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (*.f64 y (log.f64 y)) (*.f64 1/2 (log.f64 y)))))
z
-inf

rewrite74.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
267×log1p-udef_binary64
146×add-sqr-sqrt_binary64
145×log1p-expm1-u_binary64
145×expm1-log1p-u_binary64
143×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01233
128631
2451931
Stop Event
node limit
Counts
3 → 114

simplify30.0ms (0.8%)

Algorithm
egg-herbie
Rules
840×fma-def_binary64
633×associate--l+_binary64
501×associate--r+_binary64
321×fma-neg_binary64
292×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059556
1183434
2587376
31874374
Stop Event
node limit
Counts
152 → 137

prune138.0ms (3.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1343137
Fresh336
Picked101
Done011
Total1387145
Error
0.0b
Counts
145 → 7
Alt Table
StatusErrorProgram
0.3b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3) (*.f64 1/2 (log.f64 y)))))
0.1b
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
29.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
29.2b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 1/2 (log.f64 y)))))
0.1b
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
Compiler

Compiled 3113 to 1528 computations (50.9% saved)

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log.f64 (sqrt.f64 y))
0.1b
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
0.2b
(fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))

series164.0ms (4.4%)

Counts
3 → 28
Calls

15 calls:

28.0ms
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
x
0
28.0ms
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
z
0
24.0ms
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
x
-inf
22.0ms
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
z
-inf
22.0ms
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
x
inf

rewrite81.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
763×fma-def_binary64
397×fma-neg_binary64
231×expm1-udef_binary64
231×log1p-udef_binary64
182×egg-rr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01136
124836
2374035
Stop Event
node limit
Counts
3 → 182

simplify45.0ms (1.2%)

Algorithm
egg-herbie
Rules
550×sub-neg_binary64
493×fma-neg_binary64
411×unsub-neg_binary64
333×distribute-rgt-in_binary64
256×associate--l-_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034484
185440
2252432
3732432
42229432
54563432
Stop Event
node limit
Counts
210 → 197

prune199.0ms (5.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1970197
Fresh055
Picked011
Done011
Total1977204
Error
0.0b
Counts
204 → 7
Alt Table
StatusErrorProgram
0.3b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (pow.f64 (cbrt.f64 (*.f64 y (log.f64 y))) 3) (*.f64 1/2 (log.f64 y)))))
0.1b
(fma.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) 1 (-.f64 x z))
0.5b
(+.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y)) 3) (-.f64 x z))
29.2b
(fma.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
0.4b
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (-.f64 -1/2 y)) (+.f64 y (-.f64 x z)))
29.2b
(-.f64 (+.f64 y x) (+.f64 z (+.f64 (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2) (*.f64 1/2 (log.f64 y)))))
0.1b
(-.f64 (+.f64 y x) (+.f64 z (fma.f64 y (log.f64 y) (log.f64 (sqrt.f64 y)))))
Compiler

Compiled 5297 to 2006 computations (62.1% saved)

regimes441.0ms (11.9%)

Accuracy

Total 0.1b remaining (77.4%)

Threshold costs 0.1b (77.4%)

Counts
85 → 1
Compiler

Compiled 7427 to 4888 computations (34.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01016
11516
22316
32716
42916
Stop Event
saturated

end112.0ms (3%)

Stop Event
fuel
Compiler

Compiled 158 to 102 computations (35.4% saved)

Profiling

Loading profile data...