Details

Time bar (total: 4.6s)

analyze741.0ms (16.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%75%25%4
0%62.5%37.5%5
0%56.2%43.8%6
0%53.1%46.9%7
0%51.5%48.5%8
0%51.5%48.5%9
0%51.5%48.5%10
0%51.5%48.5%11
0%51.4%48.6%12
0%51.4%48.6%13
0%51.4%48.6%14
Compiler

Compiled 15 to 8 computations (46.7% saved)

sample3.2s (69.2%)

Results
1.9s4093×body1024valid
590.0ms1960×body512valid
224.0ms418×body2048valid
209.0ms967×body256valid
94.0ms818×body128valid
Compiler

Compiled 29 to 15 computations (48.3% saved)

simplify72.0ms (1.6%)

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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶58.2b
(/.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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓2.0b
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓5.4b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series20.0ms (0.4%)

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 (0.6%)

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:

11.0ms
(/.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)))
3.0ms
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify114.0ms (2.5%)

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

prune62.0ms (1.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1502152
Fresh000
Picked101
Done000
Total1512153
Error
0b
Counts
153 → 2
Alt Table
StatusErrorProgram
▶0.0b
(tanh.f64 x)
2.9b
(-.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)

localize1.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

series27.0ms (0.6%)

Counts
1 → 12
Calls

1 calls:

27.0ms
(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)

simplify54.0ms (1.2%)

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

prune14.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh101
Picked011
Done000
Total24226
Error
0b
Counts
26 → 2
Alt Table
StatusErrorProgram
▶2.9b
(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)

localize11.0ms (0.2%)

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)))

series12.0ms (0.3%)

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%)

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)

simplify91.0ms (2%)

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

prune40.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh000
Picked011
Done011
Total56258
Error
0b
Counts
58 → 2
Alt Table
StatusErrorProgram
✓2.9b
(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)

regimes69.0ms (1.5%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Counts
39 → 1
Compiler

Compiled 1406 to 820 computations (41.7% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end38.0ms (0.8%)

Compiler

Compiled 26 to 19 computations (26.9% saved)

Profiling

Loading profile data...