Details

Time bar (total: 1.3s)

analyze4.0ms (0.3%)

Algorithm
1×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)

sample729.0ms (55.7%)

Results
716.0ms8256×body128valid
Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess14.0ms (1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
011
Stop Event
1×saturated
1×saturated
Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
Stop Event
1×saturated
Counts
1 → 2

prune2.0ms (0.2%)

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)

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.6%)

Counts
3 → 36
Calls

9 calls:

2.0ms
(/.f64 1 (-.f64 x 1))
x
inf
1.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
x
inf
1.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
x
-inf
1.0ms
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
x
0
1.0ms
(/.f64 1 (-.f64 x 1))
x
-inf

rewrite58.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
489×fma-def_binary64
249×fma-neg_binary64
229×log-div_binary64
168×expm1-udef_binary64
168×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0830
119330
2314130
Stop Event
1×node limit
Counts
3 → 138

simplify30.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
479×fma-neg_binary64
456×cancel-sign-sub-inv_binary64
429×associate-*l*_binary64
304×associate-*r*_binary64
210×associate-/r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059488
1183470
2551457
31753453
Stop Event
1×node limit
Counts
174 → 178

prune126.0ms (9.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1762178
Fresh000
Picked011
Done000
Total1763179
Error
0b
Counts
179 → 3
Alt Table
StatusErrorProgram
30.7b
(+.f64 -1 (*.f64 -2 (fma.f64 x x (pow.f64 x 4))))
▶13.8b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 3058 to 2274 computations (25.6% saved)

localize8.0ms (0.6%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 x (+.f64 x -1) (+.f64 1 x))
✓13.3b
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))

series5.0ms (0.4%)

Counts
2 → 24
Calls

6 calls:

1.0ms
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
x
-inf
1.0ms
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
x
inf
1.0ms
(/.f64 (fma.f64 x (+.f64 x -1) (+.f64 1 x)) (fma.f64 x x -1))
x
0
1.0ms
(fma.f64 x (+.f64 x -1) (+.f64 1 x))
x
-inf
1.0ms
(fma.f64 x (+.f64 x -1) (+.f64 1 x))
x
inf

rewrite45.0ms (3.4%)

Algorithm
1×batch-egg-rewrite
Rules
419×log-prod_binary64
282×prod-diff_binary64
259×fma-def_binary64
166×expm1-udef_binary64
166×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
119329
2258229
Stop Event
1×node limit
Counts
2 → 69

simplify29.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
704×times-frac_binary64
433×fma-def_binary64
285×unswap-sqr_binary64
262×fma-neg_binary64
254×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033245
199221
2281214
3875212
43348212
Stop Event
1×node limit
Counts
93 → 87

prune54.0ms (4.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh101
Picked101
Done011
Total88290
Error
0b
Counts
90 → 2
Alt Table
StatusErrorProgram
▶13.8b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 1637 to 1102 computations (32.7% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.3b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))

series3.0ms (0.2%)

Counts
1 → 12
Calls

3 calls:

1.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
x
0
1.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
x
-inf
1.0ms
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
x
inf

rewrite38.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
643×pow1_binary64
593×add-log-exp_binary64
592×log1p-expm1-u_binary64
592×expm1-log1p-u_binary64
64×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0712
113312
2155512
Stop Event
1×node limit
Counts
1 → 32

simplify28.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
704×times-frac_binary64
432×fma-def_binary64
285×unswap-sqr_binary64
262×fma-neg_binary64
253×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032173
197167
2277160
3871158
43343158
Stop Event
1×node limit
Counts
44 → 46

prune24.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done011
Total46248
Error
0b
Counts
48 → 2
Alt Table
StatusErrorProgram
✓13.8b
(/.f64 (fma.f64 x x 1) (fma.f64 x x -1))
✓0.0b
(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
Compiler

Compiled 679 to 476 computations (29.9% saved)

regimes31.0ms (2.4%)

Accuracy

Total 0.0b remaining (93.3%)

Threshold costs 0.0b (93.3%)

Counts
19 → 1
Compiler

Compiled 390 to 284 computations (27.2% saved)

simplify2.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
11516
21616
Stop Event
1×saturated

end53.0ms (4%)

Stop Event
1×done
Compiler

Compiled 46 to 33 computations (28.3% saved)

Profiling

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