Details

Time bar (total: 3.7s)

analyze726.0ms (19.6%)

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 53 to 45 computations (15.1% saved)

sample1.7s (44.9%)

Results
1.7s8256×body128valid
Compiler

Compiled 106 to 90 computations (15.1% saved)

preprocess33.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
976×fma-def_binary64
342×times-frac_binary64
272×associate-/l*_binary64
256×unsub-neg_binary64
204×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01376
12272
24272
312148
436848
5151642
011
Stop Event
1×saturated
1×node limit
Compiler

Compiled 52 to 44 computations (15.4% saved)

simplify18.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
976×fma-def_binary64
342×times-frac_binary64
272×associate-/l*_binary64
256×unsub-neg_binary64
204×associate-*l/_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01376
12272
24272
312148
436848
5151642
Stop Event
1×node limit
Counts
1 → 2

prune6.0ms (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 (+.f64 1 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))) (+.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)))))))
▶0.0b
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 5) (fma.f64 (/.f64 2 (+.f64 1 t)) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 6))
Compiler

Compiled 245 to 209 computations (14.7% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(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) 5)
✓0.0b
(/.f64 2 (+.f64 1 t))

series7.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

1.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 5)
t
0
1.0ms
(/.f64 2 (+.f64 1 t))
t
inf
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
0

rewrite52.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
285×fma-def_binary64
212×expm1-udef_binary64
212×log1p-udef_binary64
160×log-pow_binary64
157×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
126447
2318447
Stop Event
1×node limit
Counts
3 → 70

simplify27.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
413×cancel-sign-sub-inv_binary64
389×fma-neg_binary64
307×associate-*l*_binary64
240×associate-*r*_binary64
235×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
059494
1196476
2568460
31753457
Stop Event
1×node limit
Counts
106 → 111

prune273.0ms (7.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New2241225
Fresh101
Picked101
Done000
Total2261227
Error
0b
Counts
227 → 1
Alt Table
StatusErrorProgram
▶0b
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 5) (fma.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 6))
Compiler

Compiled 7627 to 6550 computations (14.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 2 (+.f64 1 t))
✓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)))

series9.0ms (0.2%)

Counts
3 → 36
Calls

9 calls:

3.0ms
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))
t
inf
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
1.0ms
(cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3)))
t
0

rewrite44.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
807×log1p-expm1-u_binary64
807×expm1-log1p-u_binary64
89×add-sqr-sqrt_binary64
86×add-cbrt-cube_binary64
85×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0926
119824
2225224
Stop Event
1×node limit
Counts
3 → 89

simplify28.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
426×cancel-sign-sub-inv_binary64
417×associate-/r*_binary64
391×associate-*l*_binary64
379×fma-neg_binary64
247×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
067541
1211511
2624487
31836480
Stop Event
1×node limit
Counts
125 → 129

prune251.0ms (6.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New2430243
Fresh000
Picked011
Done000
Total2431244
Error
0b
Counts
244 → 1
Alt Table
StatusErrorProgram
✓0b
(/.f64 (fma.f64 (/.f64 2 (+.f64 1 t)) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 5) (fma.f64 (cbrt.f64 (/.f64 8 (pow.f64 (+.f64 1 t) 3))) (-.f64 (/.f64 2 (+.f64 1 t)) 4) 6))
Compiler

Compiled 8910 to 7702 computations (13.6% saved)

regimes463.0ms (12.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
90 → 1
Compiler

Compiled 13620 to 11831 computations (13.1% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
12447
22547
Stop Event
1×saturated

end76.0ms (2%)

Stop Event
1×done
Compiler

Compiled 99 to 87 computations (12.1% saved)

Profiling

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