Details

Time bar (total: 5.3s)

analyze134.0ms (2.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
50%25%25%4
50%12.5%37.5%5
50%6.2%43.8%6
50%3.1%46.9%7
50%1.6%48.5%8
50%1.6%48.5%9
50.4%1.2%48.5%10
50.4%1.2%48.5%11
50.4%1.1%48.6%12
50.4%1%48.6%13
50.5%0.9%48.6%14
Compiler

Compiled 15 to 8 computations (46.7% saved)

sample126.0ms (2.4%)

Algorithm
1×intervals
Results
79.0ms137×body1024valid
19.0ms53×body512valid
7.0ms39×body256valid
4.0ms7×body2048valid
3.0ms20×body128valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify89.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
720×fma-def_binary64
658×unswap-sqr_binary64
478×fma-neg_binary64
464×times-frac_binary64
388×associate-/r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
12022
23422
35822
412522
528822
662422
7157722
8379822
9455322
10502322

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶58.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 42 to 21 computations (50% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓6.6b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite38.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
51×*-un-lft-identity_binary64
37×add-sqr-sqrt_binary64
30×times-frac_binary64
23×add-cube-cbrt_binary64
9×prod-diff_binary64
Counts
2 → 92
Calls

2 calls:

18.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series52.0ms (1%)

Counts
2 → 16
Calls

2 calls:

47.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify302.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
436×fma-def_binary64
418×associate-*l*_binary64
364×associate-*r*_binary64
322×times-frac_binary64
220×fma-neg_binary64
Counts
108 → 174
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01722760
13822556
211452481
343472481
448812481

prune95.0ms (1.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1722174
Fresh000
Picked101
Done000
Total1732175
Error
0b
Counts
175 → 2
Alt Table
StatusErrorProgram
0.8b
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶0.0b
(tanh.f64 x)
Compiler

Compiled 2813 to 590 computations (79% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

rewrite2.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 12
Calls

1 calls:

1.0ms
(tanh.f64 x)

series34.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

34.0ms
(tanh.f64 x)

simplify66.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
761×times-frac_binary64
520×fma-neg_binary64
330×fma-def_binary64
234×distribute-rgt-in_binary64
232×distribute-lft-in_binary64
Counts
24 → 38
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046189
1111182
2264178
3747175
43029175
55001175

prune20.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh011
Picked011
Done000
Total38240
Error
0b
Counts
40 → 2
Alt Table
StatusErrorProgram
▶0.8b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 209 to 133 computations (36.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)
✓0.7b
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite9.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×times-frac_binary64
4×add-cbrt-cube_binary64
Counts
2 → 41
Calls

2 calls:

5.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)

series90.0ms (1.7%)

Counts
2 → 24
Calls

2 calls:

73.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
17.0ms
(sinh.f64 x)

simplify164.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
687×associate-/l/_binary64
536×times-frac_binary64
533×fma-def_binary64
354×associate-/r/_binary64
263×cancel-sign-sub-inv_binary64
Counts
65 → 96
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101936
1202895
2522883
31441751
44227751
54895751
64998751
74876751

prune50.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh000
Picked011
Done011
Total96298
Error
0b
Counts
98 → 2
Alt Table
StatusErrorProgram
✓0.8b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 755 to 288 computations (61.9% saved)

regimes57.0ms (1.1%)

Accuracy

Total 0.0b remaining (71.4%)

Threshold costs 0.0b (71.4%)

Compiler

Compiled 536 to 294 computations (45.1% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end1.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

sample3.9s (74.3%)

Algorithm
1×intervals
Results
2.4s3902×body1024valid
609.0ms1930×body512valid
254.0ms393×body2048valid
194.0ms987×body256valid
72.0ms788×body128valid
0.0ms3×body128overflowed
Compiler

Compiled 28 to 17 computations (39.3% saved)

Profiling

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