Details

Time bar (total: 12.8s)

analyze2.4s (18.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%49.9%50.1%0
0%49.9%50.1%1
0%49.9%50.1%2
0%49.9%50.1%3
0%49.9%50.1%4
0%49.9%50.1%5
0%49.9%50.1%6
0%49.9%50.1%7
0%49.9%50.1%8
0.4%49.5%50.1%9
0.4%49.3%50.3%10
0.6%48.9%50.5%11
1.1%48.1%50.9%12
1.5%47.3%51.2%13
1.7%46.9%51.5%14
Compiler

Compiled 34 to 24 computations (29.4% saved)

sample9.0s (70.2%)

Symmetry

(sort a b)

Results
5.3s4256×body2048valid
1.9s2426×body1024valid
460.0ms782×body512valid
423.0ms635×body1024invalid
381.0ms398×body2048invalid
136.0ms296×body512invalid
107.0ms263×body128invalid
103.0ms523×body128valid
84.0ms256×body256valid
54.0ms155×body256invalid
23.0ms13×body4096valid
Compiler

Compiled 95 to 67 computations (29.5% saved)

simplify26.0ms (0.2%)

Algorithm
egg-herbie
Rules
986×times-frac_binary64
580×associate-/l*_binary64
372×fma-def_binary64
126×distribute-rgt-in_binary64
122×distribute-lft-in_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01828
14728
210828
325428
489728
5529228

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
40.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
40.4b
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
Compiler

Compiled 87 to 54 computations (37.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(expm1.f64 (*.f64 eps (+.f64 a b)))
0.0b
(*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))
0.1b
(*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))
38.6b
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))

series382.0ms (3%)

Counts
4 → 144
Calls

4 calls:

302.0ms
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
32.0ms
(*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))
30.0ms
(*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))
17.0ms
(expm1.f64 (*.f64 eps (+.f64 a b)))

rewrite14.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
20×add-cbrt-cube_binary64
20×add-exp-log_binary64
12×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
4 → 74
Calls

4 calls:

4.0ms
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
3.0ms
(*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b)))
3.0ms
(*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))
0.0ms
(expm1.f64 (*.f64 eps (+.f64 a b)))

simplify139.0ms (1.1%)

Algorithm
egg-herbie
Rules
828×fma-def_binary64
622×times-frac_binary64
470×associate-/l*_binary64
249×*-commutative_binary64
191×+-commutative_binary64
Counts
218 → 229
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06468872
121668105
253258105

prune162.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2263229
Fresh000
Picked011
Done000
Total2264230
Error
0b
Counts
230 → 4
Alt Table
StatusErrorProgram
40.4b
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
40.4b
(/.f64 1 (/.f64 (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))) (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b))))))
6.5b
(fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))))
49.0b
(cbrt.f64 (pow.f64 (/.f64 (*.f64 eps (expm1.f64 (*.f64 (+.f64 a b) eps))) (*.f64 (expm1.f64 (*.f64 b eps)) (expm1.f64 (*.f64 a eps)))) 3))
Compiler

Compiled 11457 to 3862 computations (66.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))))
0.0b
(fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))
5.2b
(*.f64 b (*.f64 eps eps))
6.4b
(*.f64 a (*.f64 eps eps))

series74.0ms (0.6%)

Counts
4 → 120
Calls

4 calls:

34.0ms
(fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))))
22.0ms
(fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))
9.0ms
(*.f64 a (*.f64 eps eps))
9.0ms
(*.f64 b (*.f64 eps eps))

rewrite12.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube_binary64
14×add-exp-log_binary64
14×pow1_binary64
add-sqr-sqrt_binary64
associate-*l*_binary64
Counts
4 → 62
Calls

4 calls:

4.0ms
(*.f64 a (*.f64 eps eps))
4.0ms
(*.f64 b (*.f64 eps eps))
0.0ms
(fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))
0.0ms
(fma.f64 1/12 (*.f64 a (*.f64 eps eps)) (+.f64 (/.f64 1 b) (fma.f64 1/12 (*.f64 b (*.f64 eps eps)) (/.f64 1 a))))

simplify102.0ms (0.8%)

Algorithm
egg-herbie
Rules
766×unswap-sqr_binary64
610×fma-def_binary64
470×associate-*l*_binary64
333×associate-*r*_binary64
295×associate-+r+_binary64
Counts
182 → 122
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01032698
12022339
25492269
316512269
437882269
550582269

prune79.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh202
Picked101
Done011
Total1242126
Error
0b
Counts
126 → 2
Alt Table
StatusErrorProgram
40.4b
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
4.3b
(+.f64 (/.f64 1 b) (/.f64 1 a))
Compiler

Compiled 3031 to 1463 computations (51.7% saved)

localize4.0ms (0%)

prune2.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
40.4b
(/.f64 (*.f64 eps (expm1.f64 (*.f64 eps (+.f64 a b)))) (*.f64 (expm1.f64 (*.f64 eps a)) (expm1.f64 (*.f64 eps b))))
4.3b
(+.f64 (/.f64 1 b) (/.f64 1 a))
Compiler

Compiled 31 to 21 computations (32.3% saved)

regimes171.0ms (1.3%)

Accuracy

Total 0.1b remaining (76.2%)

Threshold costs 0.1b (76.2%)

Counts
36 → 3
Compiler

Compiled 3054 to 1868 computations (38.8% saved)

bsearch2.0ms (0%)

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041142
155142
258142
356142

end228.0ms (1.8%)

Compiler

Compiled 415 to 237 computations (42.9% saved)

Profiling

Loading profile data...