Details

Time bar (total: 1.4s)

analyze8.0ms (0.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample823.0ms (60%)

Results
783.0ms8256×body128valid
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify6.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 47 to 35 computations (25.5% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.5%)

Counts
3 → 36
Calls

3 calls:

3.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
2.0ms
(/.f64 1 (-.f64 x 1))
2.0ms
(/.f64 x (+.f64 x 1))

rewrite42.0ms (3.1%)

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity_binary64
63×add-sqr-sqrt_binary64
62×times-frac_binary64
35×add-cube-cbrt_binary64
27×fma-def_binary64
Counts
3 → 133
Calls

3 calls:

22.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
5.0ms
(/.f64 x (+.f64 x 1))
4.0ms
(/.f64 1 (-.f64 x 1))

simplify123.0ms (9%)

Algorithm
egg-herbie
Rules
729×fma-neg_binary64
380×fma-def_binary64
216×times-frac_binary64
195×sub-neg_binary64
182×div-sub_binary64
Counts
169 → 205
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01741959
14131896
210431881
331231869
445171869
549841869
649291869

prune137.0ms (10%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2041205
Fresh000
Picked011
Done000
Total2042206
Error
0b
Counts
206 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
18.5b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
Compiler

Compiled 3706 to 2751 computations (25.8% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
17.9b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts
1 → 12
Calls

1 calls:

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

rewrite32.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
times-frac_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

31.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

simplify64.0ms (4.6%)

Algorithm
egg-herbie
Rules
969×fma-neg_binary64
598×times-frac_binary64
571×fma-def_binary64
459×associate-*l*_binary64
303×associate-/l*_binary64
Counts
41 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
082796
1183740
2488712
31279710
44553707
55194707

prune31.0ms (2.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh000
Picked011
Done011
Total50252
Error
0b
Counts
52 → 2
Alt Table
StatusErrorProgram
0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
18.5b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
Compiler

Compiled 833 to 561 computations (32.7% saved)

regimes34.0ms (2.5%)

Accuracy

Total 0.0b remaining (89.4%)

Threshold costs 0.0b (89.4%)

Counts
18 → 1
Compiler

Compiled 356 to 264 computations (25.8% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
31416

end43.0ms (3.2%)

Compiler

Compiled 46 to 33 computations (28.3% saved)

Profiling

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