Details

Time bar (total: 42.3s)

analyze824.0ms (1.9%)

Algorithm
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)

sample2.1s (4.9%)

Results
1.9s8256×body128valid
Compiler

Compiled 158 to 134 computations (15.2% saved)

simplify62.0ms (0.1%)

Algorithm
egg-herbie
Rules
976×fma-def_binary64
667×div-sub_binary64
616×sub-neg_binary64
386×unsub-neg_binary64
342×times-frac_binary64
Counts
1 → 2
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01376
12272
24272
310848
431348
5113842
6330342
7436742
8501942

prune6.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
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))
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)))))))
Compiler

Compiled 245 to 209 computations (14.7% saved)

localize11.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.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))))))
0.0b
(+.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 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series17.0ms (0%)

Counts
4 → 48
Calls

4 calls:

7.0ms
(+.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))))))
3.0ms
(+.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))))))
3.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite1.2s (2.7%)

Algorithm
rewrite-expression-head
Rules
3095×times-frac_binary64
2988×*-un-lft-identity_binary64
1927×add-sqr-sqrt_binary64
1880×add-cube-cbrt_binary64
1491×prod-diff_binary64
Counts
4 → 2095
Calls

4 calls:

65.0ms
(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
54.0ms
(+.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))))))
53.0ms
(+.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))))))
33.0ms
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

simplify2.9s (6.9%)

Algorithm
egg-herbie
Rules
964×fma-def_binary64
528×*-commutative_binary64
525×+-commutative_binary64
414×neg-mul-1_binary64
232×times-frac_binary64
Counts
2143 → 1952
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01570162365
12926121682
24087117244
35005117244

prune10.9s (25.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New330923311
Fresh011
Picked101
Done000
Total331033313
Error
0b
Counts
3313 → 3
Alt Table
StatusErrorProgram
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))
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 (log.f64 (exp.f64 (*.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 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (*.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)))))))
Compiler

Compiled 343967 to 284568 computations (17.3% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(exp.f64 (*.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 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
1.6b
(log.f64 (exp.f64 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
3.3b
(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

series7.0ms (0%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(exp.f64 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))
3.0ms
(log.f64 (exp.f64 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

rewrite617.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
1760×times-frac_binary64
1695×*-un-lft-identity_binary64
1140×exp-sum_binary64
1071×add-sqr-sqrt_binary64
1071×add-cube-cbrt_binary64
Counts
2 → 1170
Calls

2 calls:

62.0ms
(log.f64 (exp.f64 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
47.0ms
(exp.f64 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))

simplify2.8s (6.6%)

Algorithm
egg-herbie
Rules
660×exp-prod_binary64
436×log-pow_binary64
418×rem-log-exp_binary64
401×sqr-pow_binary64
329×*-commutative_binary64
Counts
1194 → 933
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01811142241
13141130455
24210130455
35211130455

prune17.3s (40.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New307903079
Fresh022
Picked011
Done000
Total307933082
Error
0b
Counts
3082 → 3
Alt Table
StatusErrorProgram
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))
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 (log.f64 (exp.f64 (*.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 (log.f64 (*.f64 (exp.f64 1) (exp.f64 (*.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)))))))
Compiler

Compiled 328147 to 272723 computations (16.9% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

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

series11.0ms (0%)

Counts
4 → 48
Calls

4 calls:

3.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)
3.0ms
(/.f64 2 (+.f64 1 t))
3.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
2.0ms
(+.f64 (/.f64 2 (+.f64 1 t)) -4)

rewrite19.0ms (0%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64
24×times-frac_binary64
21×add-sqr-sqrt_binary64
21×add-cube-cbrt_binary64
18×fma-def_binary64
Counts
4 → 87
Calls

4 calls:

8.0ms
(+.f64 (/.f64 2 (+.f64 1 t)) -4)
4.0ms
(/.f64 2 (+.f64 1 t))
3.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
0.0ms
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 5)

simplify94.0ms (0.2%)

Algorithm
egg-herbie
Rules
767×times-frac_binary64
653×fma-neg_binary64
576×cancel-sign-sub-inv_binary64
385×fma-def_binary64
278×sub-neg_binary64
Counts
135 → 167
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01691875
14271715
210201688
327411686
444681686
549941686

prune602.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New3711372
Fresh101
Picked101
Done011
Total3732375
Error
0b
Counts
375 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 (*.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))
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 (log.f64 (exp.f64 (*.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 13227 to 11339 computations (14.3% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)
0.0b
(+.f64 (/.f64 2 (+.f64 1 t)) -4)
0.0b
(fma.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4) 6)
0.0b
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

series6.0ms (0%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))
3.0ms
(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)

rewrite34.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity_binary64
18×associate-*l*_binary64
16×add-sqr-sqrt_binary64
13×times-frac_binary64
11×add-cube-cbrt_binary64
Counts
2 → 62
Calls

2 calls:

16.0ms
(+.f64 (*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4)) 5)
14.0ms
(*.f64 (/.f64 2 (+.f64 1 t)) (+.f64 (/.f64 2 (+.f64 1 t)) -4))

simplify79.0ms (0.2%)

Algorithm
egg-herbie
Rules
634×fma-def_binary64
526×distribute-rgt-in_binary64
502×distribute-lft-in_binary64
288×times-frac_binary64
225×associate-/r*_binary64
Counts
86 → 128
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01621850
15401684
215911654
347861642
449171642

prune361.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2640264
Fresh000
Picked011
Done011
Total2642266
Error
0b
Counts
266 → 2
Alt Table
StatusErrorProgram
0.0b
(/.f64 (+.f64 (*.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))
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 (log.f64 (exp.f64 (*.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 9796 to 8454 computations (13.7% saved)

regimes2.3s (5.5%)

Accuracy

Total 0.0b remaining (58.5%)

Threshold costs 0.0b (58.5%)

Counts
362 → 1
Compiler

Compiled 71214 to 61424 computations (13.7% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01446
12146
22046

end86.0ms (0.2%)

Compiler

Compiled 149 to 129 computations (13.4% saved)

Profiling

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