Details

Time bar (total: 2.6s)

analyze491.0ms (18.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%50%0%4
50%50%0%5
50%50%0%6
50%50%0%7
50%50%0%8
50%50%0%9
50%50%0%10
50%50%0%11
50%49.9%0%12
99.6%0.3%0%13
99.9%0%0%14
Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.1s (43.4%)

Results
1.1s8256×body128valid
Compiler

Compiled 62 to 54 computations (12.9% saved)

preprocess39.0ms (1.5%)

Algorithm
2×egg-herbie
Rules
716×fma-def_binary64
408×div-sub_binary64
342×times-frac_binary64
274×associate-/l*_binary64
193×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5133926
6469426
011
Stop Event
1×saturated
1×node limit
Compiler

Compiled 30 to 26 computations (13.3% saved)

simplify27.0ms (1%)

Algorithm
1×egg-herbie
Rules
716×fma-def_binary64
408×div-sub_binary64
342×times-frac_binary64
274×associate-/l*_binary64
193×unsub-neg_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01343
12341
24741
312029
434229
5133926
6469426
Stop Event
1×node limit
Counts
1 → 2

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
0.0b
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
Compiler

Compiled 146 to 128 computations (12.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
✓0.0b
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
✓0.0b
(/.f64 2 (+.f64 1 t))
✓0.0b
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))

series9.0ms (0.3%)

Counts
4 → 48
Calls

12 calls:

1.0ms
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6))
t
0
1.0ms
(/.f64 2 (+.f64 1 t))
t
-inf
1.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
t
0
1.0ms
(/.f64 2 (+.f64 1 t))
t
inf
1.0ms
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
t
0

rewrite66.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
341×prod-diff_binary64
246×expm1-udef_binary64
246×log1p-udef_binary64
145×add-sqr-sqrt_binary64
137×add-cbrt-cube_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
129276
2376276
Stop Event
1×node limit
Counts
4 → 103

simplify34.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
550×fma-neg_binary64
517×cancel-sign-sub-inv_binary64
337×associate-*l*_binary64
295×fma-def_binary64
251×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081628
1267602
2750582
32197577
Stop Event
1×node limit
Counts
151 → 158

prune168.0ms (6.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1951196
Fresh101
Picked011
Done000
Total1962198
Error
0b
Counts
198 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
▶0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) -4) 6)))
Compiler

Compiled 4530 to 3994 computations (11.8% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) -4) 6))
✓0.0b
(pow.f64 (+.f64 1 t) 3)
✓0.3b
(/.f64 8 (pow.f64 (+.f64 1 t) 3))
✓19.9b
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))

series11.0ms (0.4%)

Counts
4 → 48
Calls

12 calls:

1.0ms
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) -4) 6))
t
-inf
1.0ms
(/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) -4) 6))
t
0
1.0ms
(/.f64 8 (pow.f64 (+.f64 1 t) 3))
t
-inf
1.0ms
(/.f64 8 (pow.f64 (+.f64 1 t) 3))
t
inf
1.0ms
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))
t
-inf

rewrite63.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
275×log1p-udef_binary64
223×prod-diff_binary64
165×add-sqr-sqrt_binary64
159×add-cbrt-cube_binary64
156×add-log-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01747
137847
2418747
Stop Event
1×node limit
Counts
4 → 124

simplify36.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
695×fma-neg_binary64
575×cancel-sign-sub-inv_binary64
407×fma-def_binary64
250×sub-neg_binary64
247×times-frac_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089685
1287647
2848622
32592611
Stop Event
1×node limit
Counts
172 → 178

prune148.0ms (5.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done011
Total1782180
Error
0b
Counts
180 → 2
Alt Table
StatusErrorProgram
✓0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)))
✓0.0b
(+.f64 1 (/.f64 -1 (fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) -4) 6)))
Compiler

Compiled 4273 to 3756 computations (12.1% saved)

regimes315.0ms (12%)

Accuracy

Total 0.0b remaining (72.4%)

Threshold costs 0.0b (72.4%)

Counts
54 → 1
Compiler

Compiled 6160 to 5319 computations (13.7% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01831
12331
Stop Event
1×saturated

end63.0ms (2.4%)

Stop Event
1×done
Compiler

Compiled 85 to 77 computations (9.4% saved)

Profiling

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