Details

Time bar (total: 5.3s)

analyze418.0ms (7.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%87.4%12.6%6
20.3%59.3%20.4%7
21.1%51.5%27.4%8
35.5%30.4%34%9
35.7%26.1%38.1%10
42.8%15.4%41.8%11
42.9%13.2%44%12
46.4%7.8%45.8%13
46.4%6.6%47%14
Compiler

Compiled 32 to 26 computations (18.8% saved)

sample77.0ms (1.4%)

Algorithm
intervals
Results
32.0ms56×body1024valid
16.0ms154×body128valid
12.0ms31×body512valid
3.0msbody2048valid
2.0ms12×body256valid
1.0msbody128overflowed
1.0msbody128invalid
0.0msbody512invalid
Compiler

Compiled 65 to 53 computations (18.5% saved)

simplify76.0ms (1.4%)

Algorithm
egg-herbie
Rules
750×times-frac_binary64
720×div-sub_binary64
534×cancel-sign-sub-inv_binary64
478×associate-/l*_binary64
197×associate-/l/_binary64
Counts
1 → 1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02045
15645
215141
337341
4123241
5399241
6490841
7521241

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
25.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
25.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 91 to 73 computations (19.8% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 eps) x)
0.0b
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
1.8b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))

rewrite423.0ms (8%)

Algorithm
rewrite-expression-head
Error
24.9b
Rules
81×frac-sub_binary64
74×exp-neg_binary64
72×frac-times_binary64
56×exp-diff_binary64
56×neg-sub0_binary64
Counts
4 → 150
Calls

4 calls:

19.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
11.0ms
(*.f64 (-.f64 1 eps) x)
3.0ms
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
2.0ms
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
Compiler

Compiled 8949 to 7216 computations (19.4% saved)

series120.0ms (2.3%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

38.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
19.0ms
(exp.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
18.0ms
(*.f64 (-.f64 1 eps) x)
18.0ms
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
Compiler

Compiled 2805 to 2034 computations (27.5% saved)

simplify272.0ms (5.1%)

Algorithm
egg-herbie
Rules
698×times-frac_binary64
422×associate-*l*_binary64
410×associate-*r*_binary64
230×*-commutative_binary64
220×distribute-rgt-in_binary64
Counts
188 → 163
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04419809
110918832
236678804
349438804
450018804

prune95.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1612163
Fresh000
Picked101
Done000
Total1622164
Error
0.0b
Counts
164 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 2 x) 2)) 2)
25.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 3885 to 2632 computations (32.3% saved)

localize7.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0.0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0.0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify10.0ms (0.2%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
100

prune3.0ms (0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0.0b
Counts
2 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 2 x) 2)) 2)
25.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 77 to 63 computations (18.2% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (-.f64 1 eps) x)
0.0b
(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
0.0b
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
2.0b
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))

rewrite258.0ms (4.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
81×frac-sub_binary64
72×frac-times_binary64
56×neg-sub0_binary64
38×associate-*l/_binary64
37×exp-neg_binary64
Counts
4 → 156
Calls

4 calls:

17.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
5.0ms
(*.f64 (-.f64 1 eps) x)
3.0ms
(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
3.0ms
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
Compiler

Compiled 9461 to 7416 computations (21.6% saved)

series117.0ms (2.2%)

Error
0.0b
Counts
4 → 39
Calls

4 calls:

38.0ms
(-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))))
20.0ms
(pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x)))
17.0ms
(exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))
16.0ms
(*.f64 (-.f64 1 eps) x)
Compiler

Compiled 3054 to 2206 computations (27.8% saved)

simplify321.0ms (6%)

Algorithm
egg-herbie
Rules
472×associate-*r*_binary64
457×associate-*l*_binary64
266×sub-neg_binary64
246×times-frac_binary64
230×*-commutative_binary64
Counts
195 → 174
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042810380
111539520
239809230
348759230
449989230
549579230

prune95.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1740174
Fresh000
Picked011
Done011
Total1742176
Error
0.0b
Counts
176 → 2
Alt Table
StatusErrorProgram
0.4b
(/.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (*.f64 2 x) 2)) 2)
25.2b
(/.f64 (-.f64 (*.f64 (+.f64 1 (/.f64 1 eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 1 eps) x)))) (*.f64 (-.f64 (/.f64 1 eps) 1) (pow.f64 E.f64 (neg.f64 (*.f64 (+.f64 1 eps) x))))) 2)
Compiler

Compiled 4120 to 2740 computations (33.5% saved)

regimes438.0ms (8.3%)

Accuracy

Total 0.7b remaining (94.6%)

Threshold costs 0.7b (94.6%)

Compiler

Compiled 15267 to 12391 computations (18.8% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
11617
21817
31917
41917

end0.0ms (0%)

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample2.5s (47.4%)

Algorithm
intervals
Results
1.1s1988×body1024valid
456.0ms4326×body128valid
324.0ms952×body512valid
189.0ms220×body2048valid
101.0ms514×body256valid
34.0ms231×body128invalid
21.0ms215×body128overflowed
12.0ms23×body1024invalid
3.0ms10×body512invalid
1.0msbody256invalid
Compiler

Compiled 92 to 76 computations (17.4% saved)

Profiling

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