Details

Time bar (total: 3.9s)

analyze20.0ms (0.5%)

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)

sample3.2s (81.4%)

Results
2.0s4037×body1024valid
566.0ms2017×body512valid
204.0ms382×body2048valid
196.0ms1013×body256valid
111.0ms807×body128valid
Compiler

Compiled 44 to 23 computations (47.7% saved)

simplify66.0ms (1.7%)

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
58.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶58.4b
(/.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 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))))
✓5.7b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series17.0ms (0.4%)

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)))

rewrite21.0ms (0.6%)

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:

10.0ms
(/.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)))

simplify129.0ms (3.3%)

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 (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1203123
Fresh000
Picked101
Done000
Total1213124
Error
0b
Counts
124 → 3
Alt Table
StatusErrorProgram
1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶0.0b
(tanh.f64 x)
1.9b
(fma.f64 (pow.f64 x 3) -1/3 x)
Compiler

Compiled 2840 to 600 computations (78.9% saved)

localize1.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(tanh.f64 x)

series20.0ms (0.5%)

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)

simplify49.0ms (1.3%)

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 (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New24024
Fresh022
Picked011
Done000
Total24327
Error
0b
Counts
27 → 3
Alt Table
StatusErrorProgram
▶1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
1.9b
(fma.f64 (pow.f64 x 3) -1/3 x)
Compiler

Compiled 238 to 150 computations (37% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sinh.f64 x)
✓1.2b
(/.f64 (sinh.f64 x) (cosh.f64 x))

series40.0ms (1%)

Counts
2 → 24
Calls

2 calls:

32.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
8.0ms
(sinh.f64 x)

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×times-frac_binary64
4×add-cbrt-cube_binary64
Counts
2 → 41
Calls

2 calls:

3.0ms
(/.f64 (sinh.f64 x) (cosh.f64 x))
1.0ms
(sinh.f64 x)

simplify95.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
676×associate-/l/_binary64
520×fma-def_binary64
515×times-frac_binary64
352×associate-/r/_binary64
242×cancel-sign-sub-inv_binary64
Counts
65 → 63
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
097936
1198895
2518883
31423751
44125751
54893751
64996751
74884751

prune26.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh011
Picked011
Done011
Total63366
Error
0b
Counts
66 → 3
Alt Table
StatusErrorProgram
✓1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
▶1.9b
(fma.f64 (pow.f64 x 3) -1/3 x)
Compiler

Compiled 741 to 291 computations (60.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 (pow.f64 x 3) -1/3 x)

series3.0ms (0.1%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(fma.f64 (pow.f64 x 3) -1/3 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 → 10
Calls

1 calls:

0.0ms
(fma.f64 (pow.f64 x 3) -1/3 x)

simplify60.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
435×neg-mul-1_binary64
394×associate-*l*_binary64
372×associate-*r*_binary64
317×distribute-rgt-out_binary64
261×exp-prod_binary64
Counts
22 → 16
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020232
135197
287197
3323197
41660197
54537197
65209197

prune10.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319
Error
0b
Counts
19 → 3
Alt Table
StatusErrorProgram
✓1.3b
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓0.0b
(tanh.f64 x)
✓1.9b
(fma.f64 (pow.f64 x 3) -1/3 x)
Compiler

Compiled 164 to 120 computations (26.8% saved)

regimes36.0ms (0.9%)

Accuracy

Total 0.0b remaining (89%)

Threshold costs 0.0b (89%)

Counts
20 → 1
Compiler

Compiled 792 to 400 computations (49.5% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
133

end41.0ms (1%)

Compiler

Compiled 22 to 15 computations (31.8% saved)

Profiling

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