Details

Time bar (total: 2.3s)

analyze117.0ms (5.1%)

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
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample717.0ms (31.2%)

Results
666.0ms8122×body128valid
12.0ms44×body2048valid
11.0ms46×body1024valid
5.0ms66×body128invalid
5.0ms28×body512valid
2.0ms16×body256valid
Compiler

Compiled 16 to 12 computations (25% saved)

preprocess24.0ms (1.1%)

Algorithm
2×egg-herbie
Rules
86×fma-neg_binary64
48×fma-def_binary64
26×cancel-sign-sub-inv_binary64
24×distribute-rgt-in_binary64
22×associate--r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11414
23414
36614
411014
517914
626714
736814
841614
941814
022
Stop Event
1×saturated
1×saturated
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify13.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
113×fma-def_binary64
83×fma-neg_binary64
32×distribute-rgt-in_binary64
27×cancel-sign-sub-inv_binary64
19×distribute-lft-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2207
3407
4677
5967
61677
72707
83827
94557
105397
115557
Stop Event
1×saturated
Counts
1 → 1

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 200 (-.f64 x y))
Compiler

Compiled 21 to 15 computations (28.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts
1 → 24
Calls

6 calls:

1.0ms
(*.f64 200 (-.f64 x y))
x
inf
1.0ms
(*.f64 200 (-.f64 x y))
x
-inf
1.0ms
(*.f64 200 (-.f64 x y))
x
0
1.0ms
(*.f64 200 (-.f64 x y))
y
-inf
1.0ms
(*.f64 200 (-.f64 x y))
y
inf

rewrite32.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
657×log1p-expm1-u_binary64
657×expm1-log1p-u_binary64
359×prod-diff_binary64
121×log1p-udef_binary64
67×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
11317
217117
Stop Event
1×node limit
Counts
1 → 19

simplify25.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
141×fma-def_binary64
102×fma-neg_binary64
46×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
21×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09150
119150
233150
349150
477150
5123150
6213150
7311150
8391150
9503150
10557150
11563150
Stop Event
1×saturated
Counts
43 → 23

prune12.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New21223
Fresh000
Picked011
Done000
Total21324
Error
0.0b
Counts
24 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 200 (-.f64 x y))
34.9b
(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
▶1.3b
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)
Compiler

Compiled 248 to 155 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(*.f64 200 (-.f64 x y))
✓0.6b
(cbrt.f64 (*.f64 200 (-.f64 x y)))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)

series337.0ms (14.7%)

Counts
2 → 16
Calls

12 calls:

180.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)
y
0
73.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)
x
0
24.0ms
(cbrt.f64 (*.f64 200 (-.f64 x y)))
x
0
17.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 3)
x
-inf
8.0ms
(cbrt.f64 (*.f64 200 (-.f64 x y)))
x
-inf

rewrite46.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
823×log1p-expm1-u_binary64
823×expm1-log1p-u_binary64
359×prod-diff_binary64
85×add-sqr-sqrt_binary64
83×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
119216
2220816
Stop Event
1×node limit
Counts
2 → 60

simplify45.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
772×fma-neg_binary64
591×fma-def_binary64
422×*-commutative_binary64
233×cancel-sign-sub-inv_binary64
154×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0124931
1389880
21347854
34584852
Stop Event
1×node limit
Counts
76 → 86

prune66.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh011
Picked101
Done011
Total1084112
Error
0.0b
Counts
112 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 200 (-.f64 x y))
34.9b
(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
35.0b
(*.f64 (sqrt.f64 (-.f64 x y)) (*.f64 (sqrt.f64 (-.f64 x y)) 200))
▶1.2b
(*.f64 (cbrt.f64 200) (*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)))
Compiler

Compiled 2169 to 1594 computations (26.5% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.4b
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2))
✓0.5b
(cbrt.f64 (-.f64 x y))
✓0.5b
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)
0.6b
(cbrt.f64 (*.f64 200 (-.f64 x y)))

series209.0ms (9.1%)

Counts
3 → 40
Calls

18 calls:

59.0ms
(*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2))
x
-inf
35.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)
x
0
19.0ms
(cbrt.f64 (-.f64 x y))
x
0
18.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)
x
-inf
11.0ms
(pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)
y
0

rewrite49.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
493×log-prod_binary64
359×prod-diff_binary64
208×fma-def_binary64
189×expm1-udef_binary64
189×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01138
123036
2274936
Stop Event
1×node limit
Counts
3 → 68

simplify53.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
753×fma-neg_binary64
490×fma-def_binary64
425×*-commutative_binary64
304×cancel-sign-sub-inv_binary64
251×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01281329
14111284
214511251
348501247
Stop Event
1×node limit
Counts
108 → 110

prune105.0ms (4.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1491150
Fresh112
Picked011
Done011
Total1504154
Error
0.0b
Counts
154 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 200 (-.f64 x y))
▶31.2b
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
34.9b
(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
✓1.2b
(*.f64 (cbrt.f64 200) (*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)))
Compiler

Compiled 4471 to 3181 computations (28.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
✓0.5b
(*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y))

series70.0ms (3.1%)

Counts
2 → 24
Calls

6 calls:

15.0ms
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
y
0
14.0ms
(*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y))
y
inf
12.0ms
(*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y))
y
0
11.0ms
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
y
inf
9.0ms
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
y
-inf

rewrite43.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
645×log1p-expm1-u_binary64
645×expm1-log1p-u_binary64
130×expm1-udef_binary64
130×log1p-udef_binary64
112×log-pow_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0927
118810
2221110
Stop Event
1×node limit
Counts
2 → 36

simplify42.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
574×fma-def_binary64
428×distribute-rgt-neg-in_binary64
422×distribute-lft-neg-in_binary64
274×fma-neg_binary64
264×associate-*l*_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011180
122180
247180
3104180
4275180
5918180
61523180
72707180
83926180
94794180
Stop Event
1×node limit
Counts
60 → 40

prune17.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New40040
Fresh011
Picked011
Done022
Total40444
Error
0.0b
Counts
44 → 4
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 200 (-.f64 x y))
✓31.2b
(*.f64 (cbrt.f64 200) (*.f64 (pow.f64 (cbrt.f64 200) 2) (neg.f64 y)))
34.9b
(pow.f64 (sqrt.f64 (*.f64 200 (-.f64 x y))) 2)
✓1.2b
(*.f64 (cbrt.f64 200) (*.f64 (cbrt.f64 (-.f64 x y)) (pow.f64 (cbrt.f64 (*.f64 200 (-.f64 x y))) 2)))
Compiler

Compiled 368 to 315 computations (14.4% saved)

regimes165.0ms (7.2%)

Accuracy

Total 0.0b remaining (39.6%)

Threshold costs 0.0b (39.6%)

Counts
32 → 1
Compiler

Compiled 1464 to 1160 computations (20.8% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
2147
3167
4177
Stop Event
1×saturated

end71.0ms (3.1%)

Stop Event
1×fuel
Compiler

Compiled 61 to 47 computations (23% saved)

Profiling

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