Details

Time bar (total: 1.9s)

analyze33.0ms (1.8%)

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
25%74.9%0.1%4
37.5%62.4%0.1%5
62.4%37.5%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample91.0ms (4.9%)

Algorithm
intervals
Results
7.0ms256×body128valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify75.0ms (4%)

Algorithm
egg-herbie
Rules
516×fma-neg_binary64
439×fma-def_binary64
382×times-frac_binary64
357×div-sub_binary64
168×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
21410
32110
42810
55110
67410
710410
815410
931910
1047910
1180610
12105010
13121610
14131610
15133010
16135010
17135010
18125010

prune1.0ms (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 (+.f64 x y) (-.f64 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))

series9.0ms (0.5%)

Counts
1 → 24
Calls

1 calls:

8.0ms
(/.f64 (+.f64 x y) (-.f64 x y))

rewrite8.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
Counts
1 → 47
Calls

1 calls:

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

simplify77.0ms (4.1%)

Algorithm
egg-herbie
Rules
910×fma-neg_binary64
434×cancel-sign-sub-inv_binary64
387×distribute-rgt-in_binary64
223×fma-def_binary64
161×associate-/l*_binary64
Counts
71 → 57
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01091282
12801222
27851160
325161148
445661139
551721139

prune35.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458
Error
0b
Counts
58 → 4
Alt Table
StatusErrorProgram
32.2b
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
32.2b
(fma.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y))) -1)
0.0b
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
Compiler

Compiled 955 to 331 computations (65.3% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))

series18.0ms (1%)

Counts
2 → 48
Calls

2 calls:

9.0ms
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
9.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite68.0ms (3.6%)

Algorithm
rewrite-expression-head
Rules
178×times-frac_binary64
174×*-un-lft-identity_binary64
122×add-sqr-sqrt_binary64
80×add-cube-cbrt_binary64
30×associate-/r*_binary64
Counts
2 → 178
Calls

2 calls:

8.0ms
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
6.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

simplify169.0ms (9.1%)

Algorithm
egg-herbie
Rules
637×fma-neg_binary64
368×fma-def_binary64
310×times-frac_binary64
267×distribute-rgt-in_binary64
239×associate-/l*_binary64
Counts
226 → 204
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01744590
14414267
213154104
342864086
449764086
549614086

prune136.0ms (7.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2040204
Fresh033
Picked011
Done000
Total2044208
Error
0b
Counts
208 → 4
Alt Table
StatusErrorProgram
32.2b
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
32.2b
(fma.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y))) -1)
0.0b
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
Compiler

Compiled 4028 to 1299 computations (67.8% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 x y) (-.f64 x y))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

series31.0ms (1.7%)

Counts
2 → 48
Calls

2 calls:

17.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
14.0ms
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite30.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity_binary64
80×times-frac_binary64
76×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
52×cube-prod_binary64
Counts
2 → 144
Calls

2 calls:

10.0ms
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
7.0ms
(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

simplify122.0ms (6.6%)

Algorithm
egg-herbie
Rules
362×fma-def_binary64
329×unswap-sqr_binary64
285×distribute-rgt-in_binary64
236×associate-/l/_binary64
235×distribute-lft-in_binary64
Counts
192 → 144
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02314190
16483881
220753745
348463745
450663745

prune117.0ms (6.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2010201
Fresh022
Picked011
Done011
Total2014205
Error
0b
Counts
205 → 4
Alt Table
StatusErrorProgram
32.2b
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
32.2b
(fma.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y))) -1)
0.0b
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
Compiler

Compiled 3795 to 1497 computations (60.6% saved)

localize12.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
0.2b
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))

series29.0ms (1.6%)

Counts
2 → 48
Calls

2 calls:

16.0ms
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
13.0ms
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))

rewrite14.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
12×*-un-lft-identity_binary64
10×times-frac_binary64
10×add-cube-cbrt_binary64
Counts
2 → 49
Calls

2 calls:

9.0ms
(*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x))
0.0ms
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)

simplify103.0ms (5.5%)

Algorithm
egg-herbie
Rules
363×associate-*l*_binary64
300×associate-*r*_binary64
269×associate-+r+_binary64
268×distribute-rgt-in_binary64
264×associate-*l/_binary64
Counts
97 → 90
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01091706
12651462
28611330
329421329
446881311
549941311
649731311

prune52.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done022
Total90494
Error
0b
Counts
94 → 4
Alt Table
StatusErrorProgram
32.2b
(fma.f64 2 (*.f64 (+.f64 (/.f64 y x) 1) (/.f64 y x)) 1)
32.2b
(fma.f64 (/.f64 x y) (-.f64 -2 (*.f64 2 (/.f64 x y))) -1)
0.0b
(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
Compiler

Compiled 1693 to 867 computations (48.8% saved)

regimes117.0ms (6.3%)

Accuracy

Total 0.0b remaining (78%)

Threshold costs 0.0b (78%)

Counts
45 → 1
Compiler

Compiled 1562 to 1106 computations (29.2% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
/-rgt-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
21710
31910
42010
51910

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample496.0ms (26.7%)

Algorithm
intervals
Results
230.0ms8000×body128valid
Compiler

Compiled 72 to 46 computations (36.1% saved)

Profiling

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