Details

Time bar (total: 3.0s)

analyze17.0ms (0.6%)

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)

sample137.0ms (4.5%)

Algorithm
1×intervals
Results
38.0ms124×body1024valid
10.0ms59×body512valid
5.0ms34×body256valid
4.0ms12×body2048valid
1.0ms27×body128valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify67.0ms (2.2%)

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

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶58.1b
(/.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)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓0.8b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓6.9b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series19.0ms (0.6%)

Counts
3 → 24
Calls

3 calls:

14.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
2.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite25.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
55×*-un-lft-identity_binary64
39×add-sqr-sqrt_binary64
30×times-frac_binary64
25×add-cube-cbrt_binary64
9×prod-diff_binary64
Counts
3 → 110
Calls

3 calls:

9.0ms
(/.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)))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify112.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
508×fma-def_binary64
473×associate-*l*_binary64
370×fma-neg_binary64
327×times-frac_binary64
203×associate-/l*_binary64
Counts
134 → 152
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01923081
14342840
212822757
342522757
448502757

prune63.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh000
Picked101
Done000
Total1512153
Error
0b
Counts
153 → 2
Alt Table
StatusErrorProgram
0.9b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
▶0.0b
(tanh.f64 x)
Compiler

Compiled 3366 to 728 computations (78.4% saved)

localize1.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

series22.0ms (0.7%)

Counts
1 → 12
Calls

1 calls:

22.0ms
(tanh.f64 x)

rewrite1.0ms (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)

simplify51.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
748×times-frac_binary64
602×fma-neg_binary64
330×fma-def_binary64
236×distribute-rgt-in_binary64
234×distribute-lft-in_binary64
Counts
24 → 24
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049189
1111182
2266178
3751175
43049175
54950175
65000175

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh011
Picked011
Done000
Total24226
Error
0b
Counts
26 → 2
Alt Table
StatusErrorProgram
▶0.9b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 236 to 150 computations (36.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)
0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓0.2b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
✓0.8b
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))

series59.0ms (1.9%)

Counts
3 → 36
Calls

3 calls:

25.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
25.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
8.0ms
(sinh.f64 x)

rewrite28.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
135×times-frac_binary64
102×*-un-lft-identity_binary64
70×add-sqr-sqrt_binary64
70×add-cube-cbrt_binary64
23×associate-/r*_binary64
Counts
3 → 150
Calls

3 calls:

8.0ms
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
7.0ms
(/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))
1.0ms
(sinh.f64 x)

simplify139.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
562×fma-def_binary64
535×associate-/r/_binary64
468×associate-*l/_binary64
412×associate-/r*_binary64
369×associate-/l/_binary64
Counts
186 → 243
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02634851
15754500
217793920
346523920
449833920

prune116.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2720272
Fresh000
Picked011
Done011
Total2722274
Error
0b
Counts
274 → 2
Alt Table
StatusErrorProgram
✓0.9b
(/.f64 2 (/.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 5364 to 1846 computations (65.6% saved)

regimes77.0ms (2.6%)

Accuracy

Total 0.0b remaining (59%)

Threshold costs 0.0b (59%)

Counts
51 → 1
Compiler

Compiled 1458 to 956 computations (34.4% saved)

simplify2.0ms (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)

sample2.0s (68%)

Algorithm
1×intervals
Results
1.2s3887×body1024valid
319.0ms1917×body512valid
137.0ms401×body2048valid
107.0ms986×body256valid
41.0ms809×body128valid
Compiler

Compiled 34 to 22 computations (35.3% saved)

Profiling

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