Details

Time bar (total: 2.8s)

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)

sample138.0ms (5%)

Algorithm
1×intervals
Results
37.0ms119×body1024valid
10.0ms63×body512valid
7.0ms21×body2048valid
3.0ms30×body256valid
1.0ms23×body128valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify70.0ms (2.5%)

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
58.5b
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)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.2b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓5.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series21.0ms (0.8%)

Counts
2 → 16
Calls

2 calls:

19.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
3.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite21.0ms (0.8%)

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:

9.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify104.0ms (3.7%)

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 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01722760
13822556
211452481
343472481
448812481

prune53.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh000
Picked101
Done000
Total1222124
Error
0b
Counts
124 → 2
Alt Table
StatusErrorProgram
1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶0.0b
(tanh.f64 x)
Compiler

Compiled 2826 to 590 computations (79.1% saved)

localize1.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

series20.0ms (0.7%)

Counts
1 → 12
Calls

1 calls:

20.0ms
(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)

simplify55.0ms (2%)

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
▶1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 224 to 140 computations (37.5% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.2b
(/.f64 (sinh.f64 x) (cosh.f64 x))

series30.0ms (1.1%)

Counts
1 → 12
Calls

1 calls:

30.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite10.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 31
Calls

1 calls:

3.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))

simplify60.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
889×fma-def_binary64
676×associate-/l/_binary64
515×times-frac_binary64
419×associate-/l*_binary64
352×associate-/r/_binary64
Counts
43 → 44
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
081716
1165682
2424678
31195546
44075546
55037546

prune17.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New44044
Fresh000
Picked011
Done011
Total44246
Error
0b
Counts
46 → 2
Alt Table
StatusErrorProgram
✓1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 517 to 180 computations (65.2% saved)

regimes32.0ms (1.2%)

Accuracy

Total 0.0b remaining (74.3%)

Threshold costs 0.0b (74.3%)

Counts
19 → 1
Compiler

Compiled 486 to 354 computations (27.2% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end0.0ms (0%)

Compiler

Compiled 3 to 2 computations (33.3% saved)

sample2.1s (75.6%)

Algorithm
1×intervals
Results
1.3s3969×body1024valid
322.0ms1928×body512valid
136.0ms404×body2048valid
111.0ms937×body256valid
45.0ms762×body128valid
0.0ms1×body128overflowed
Compiler

Compiled 28 to 17 computations (39.3% saved)

Profiling

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