Details

Time bar (total: 2.8s)

analyze18.0ms (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)

sample145.0ms (5.2%)

Algorithm
1×intervals
Results
38.0ms123×body1024valid
12.0ms77×body512valid
3.0ms10×body2048valid
3.0ms27×body256valid
1.0ms19×body128valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

simplify71.0ms (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
59.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶59.2b
(/.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 2 expressions with local error:

NewErrorProgram
✓1.5b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓2.9b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series18.0ms (0.6%)

Counts
2 → 16
Calls

2 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)))

rewrite19.0ms (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:

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 (3.8%)

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

prune56.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh000
Picked101
Done000
Total1222124
Error
0b
Counts
124 → 2
Alt Table
StatusErrorProgram
▶0.0b
(tanh.f64 x)
2.0b
(-.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 2850 to 610 computations (78.6% 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)

rewrite2.0ms (0.1%)

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)

simplify53.0ms (1.9%)

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

prune13.0ms (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
▶2.0b
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 246 to 158 computations (35.8% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 2/15 (pow.f64 x 5) x)
✓0.0b
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
✓0.0b
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))

series11.0ms (0.4%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
4.0ms
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
3.0ms
(fma.f64 2/15 (pow.f64 x 5) x)

rewrite2.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
3×*-un-lft-identity_binary64
3×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64
3×add-cbrt-cube_binary64
3×add-exp-log_binary64
Counts
3 → 30
Calls

3 calls:

0.0ms
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
0.0ms
(fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x))
0.0ms
(fma.f64 2/15 (pow.f64 x 5) x)

simplify95.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
709×fma-def_binary64
381×unsub-neg_binary64
357×exp-prod_binary64
319×fma-neg_binary64
294×*-commutative_binary64
Counts
66 → 56
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0571071
1109950
2260942
31117942
42874942
54681942
64975942
74886942

prune39.0ms (1.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done011
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
✓2.0b
(fma.f64 (pow.f64 x 7) -17/315 (fma.f64 (pow.f64 x 3) -1/3 (fma.f64 2/15 (pow.f64 x 5) x)))
✓0.0b
(tanh.f64 x)
Compiler

Compiled 1148 to 887 computations (22.7% saved)

regimes49.0ms (1.8%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Counts
29 → 1
Compiler

Compiled 802 to 594 computations (25.9% 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 (73.4%)

Algorithm
1×intervals
Results
1.2s3859×body1024valid
320.0ms1949×body512valid
142.0ms427×body2048valid
101.0ms977×body256valid
41.0ms788×body128valid
Compiler

Compiled 39 to 26 computations (33.3% saved)

Profiling

Loading profile data...