Details

Time bar (total: 1.4s)

analyze8.0ms (0.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample895.0ms (63.4%)

Results
868.0ms8256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify11.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0.5b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 31 to 22 computations (29% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series7.0ms (0.5%)

Counts
1 → 4
Calls

1 calls:

7.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite33.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
602×log1p-expm1-u_binary64
602×expm1-log1p-u_binary64
297×log-prod_binary64
128×fma-def_binary64
111×expm1-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
11469
217409
Stop Event
1×node limit
Counts
1 → 19
Calls

1 calls:

32.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify18.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
676×times-frac_binary64
548×fma-neg_binary64
457×fma-def_binary64
373×cancel-sign-sub-inv_binary64
371×associate-/l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01834
14434
210034
326834
470934
5194834
Stop Event
1×node limit
Counts
23 → 26

prune16.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New24226
Fresh000
Picked101
Done000
Total25227
Error
0b
Counts
27 → 2
Alt Table
StatusErrorProgram
32.0b
(sqrt.f64 (*.f64 x (+.f64 x -1)))
▶0.4b
(+.f64 x (+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x))))
Compiler

Compiled 291 to 221 computations (24.1% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x)))
✓0.8b
(/.f64 -1/16 (*.f64 x x))

series4.0ms (0.3%)

Counts
2 → 24
Calls

2 calls:

2.0ms
(/.f64 -1/16 (*.f64 x x))
2.0ms
(+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x)))

rewrite57.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
939×prod-diff_binary64
115×add-sqr-sqrt_binary64
114×add-cbrt-cube_binary64
114×log1p-expm1-u_binary64
114×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
123721
2339721
Stop Event
1×node limit
Counts
2 → 77
Calls

2 calls:

56.0ms
(+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x)))
56.0ms
(/.f64 -1/16 (*.f64 x x))

simplify46.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
985×fma-neg_binary64
474×associate-/l*_binary64
275×associate-*l*_binary64
265×fma-def_binary64
260×distribute-neg-frac_binary64
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
021234
151216
2122216
3281216
4671216
51795216
64605204
Stop Event
1×node limit
Counts
101 → 86

prune119.0ms (8.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done000
Total86288
Error
0b
Counts
88 → 2
Alt Table
StatusErrorProgram
▶32.0b
(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓0.4b
(+.f64 x (+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x))))
Compiler

Compiled 2004 to 1492 computations (25.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓29.7b
(sqrt.f64 (*.f64 x (+.f64 x -1)))

series4.0ms (0.3%)

Counts
1 → 8
Calls

1 calls:

4.0ms
(sqrt.f64 (*.f64 x (+.f64 x -1)))

rewrite32.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
602×log1p-expm1-u_binary64
602×expm1-log1p-u_binary64
285×log-prod_binary64
142×fma-def_binary64
108×expm1-udef_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069
11299
216338
Stop Event
1×node limit
Counts
1 → 30
Calls

1 calls:

32.0ms
(sqrt.f64 (*.f64 x (+.f64 x -1)))

simplify22.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
676×times-frac_binary64
585×fma-neg_binary64
431×cancel-sign-sub-inv_binary64
424×fma-def_binary64
226×distribute-neg-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02370
15870
213170
337570
495270
5237470
Stop Event
1×node limit
Counts
38 → 44

prune14.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh000
Picked011
Done011
Total44246
Error
0b
Counts
46 → 2
Alt Table
StatusErrorProgram
✓32.0b
(sqrt.f64 (*.f64 x (+.f64 x -1)))
✓0.4b
(+.f64 x (+.f64 (+.f64 -1/2 (/.f64 -1/8 x)) (/.f64 -1/16 (*.f64 x x))))
Compiler

Compiled 420 to 228 computations (45.7% saved)

regimes34.0ms (2.4%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Counts
17 → 1
Compiler

Compiled 334 to 252 computations (24.6% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01117
11317
Stop Event
1×saturated

end73.0ms (5.2%)

Compiler

Compiled 47 to 35 computations (25.5% saved)

Profiling

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