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)

sample142.0ms (4.8%)

Algorithm
1×intervals
Results
38.0ms121×body1024valid
10.0ms62×body512valid
3.0ms11×body2048valid
3.0ms26×body256valid
2.0ms36×body128valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify70.0ms (2.4%)

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
56.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶56.6b
(/.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 (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓1.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓6.1b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series20.0ms (0.7%)

Counts
3 → 24
Calls

3 calls:

15.0ms
(/.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)))

rewrite26.0ms (0.9%)

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

simplify110.0ms (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

prune65.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh000
Picked101
Done000
Total1512153
Error
0.0b
Counts
153 → 2
Alt Table
StatusErrorProgram
▶0.0b
(tanh.f64 x)
3.3b
(-.f64 (fma.f64 (pow.f64 x 5) 2/15 x) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 7) 17/315)))
Compiler

Compiled 3378 to 738 computations (78.2% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

series22.0ms (0.7%)

Counts
1 → 12
Calls

1 calls:

21.0ms
(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)

simplify50.0ms (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

prune14.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh101
Picked011
Done000
Total24226
Error
0b
Counts
26 → 2
Alt Table
StatusErrorProgram
▶1.0b
(/.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 238 to 154 computations (35.3% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 1 (pow.f64 (exp.f64 x) -2))
✓0.1b
(pow.f64 (exp.f64 x) -2)
✓1.0b
(/.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))

series63.0ms (2.1%)

Counts
3 → 36
Calls

3 calls:

46.0ms
(/.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
8.0ms
(+.f64 1 (pow.f64 (exp.f64 x) -2))
8.0ms
(pow.f64 (exp.f64 x) -2)

rewrite20.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
57×*-un-lft-identity_binary64
40×times-frac_binary64
33×add-sqr-sqrt_binary64
33×add-cube-cbrt_binary64
15×distribute-lft-neg-in_binary64
Counts
3 → 111
Calls

3 calls:

8.0ms
(/.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
4.0ms
(+.f64 1 (pow.f64 (exp.f64 x) -2))
2.0ms
(pow.f64 (exp.f64 x) -2)

simplify139.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
784×fma-neg_binary64
362×times-frac_binary64
284×associate-/l*_binary64
262×associate-*r*_binary64
249×fma-def_binary64
Counts
147 → 188
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01883188
14163007
211072881
340442878
449932878
549282878

prune123.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1880188
Fresh000
Picked011
Done011
Total1882190
Error
0b
Counts
190 → 2
Alt Table
StatusErrorProgram
✓1.0b
(/.f64 (neg.f64 (expm1.f64 (*.f64 x -2))) (+.f64 1 (pow.f64 (exp.f64 x) -2)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 3883 to 3069 computations (21% saved)

regimes80.0ms (2.7%)

Accuracy

Total 0.0b remaining (33.8%)

Threshold costs 0.0b (33.8%)

Counts
45 → 1
Compiler

Compiled 1698 to 984 computations (42% 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)

sample2.0s (67%)

Algorithm
1×intervals
Results
1.2s3847×body1024valid
323.0ms1977×body512valid
136.0ms416×body2048valid
101.0ms986×body256valid
39.0ms774×body128valid
Compiler

Compiled 35 to 24 computations (31.4% saved)

Profiling

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