Details

Time bar (total: 4.4s)

analyze367.0ms (8.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample228.0ms (5.1%)

Algorithm
1×intervals
Results
22.0ms111×body2048nan
13.0ms256×body128valid
12.0ms62×body1024nan
5.0ms39×body512nan
1.0ms12×body256nan
0.0ms9×body128nan
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify468.0ms (10.5%)

Algorithm
1×egg-herbie
Rules
871×fma-neg_binary64
804×unsub-neg_binary64
461×distribute-neg-in_binary64
434×sub-neg_binary64
338×distribute-rgt-out_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11812
22212
33712
46412
511312
624712
750012
8156012
9251312
10321812
11360212
12380312
13397412
14407512
15439212
16483612
17489812
18490112

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
34.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶34.4b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 36 to 24 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓0.0b
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓31.9b
(sqrt.f64 (fma.f64 x x -1))

series13.0ms (0.3%)

Counts
3 → 36
Calls

3 calls:

6.0ms
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
4.0ms
(sqrt.f64 (fma.f64 x x -1))
3.0ms
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))

rewrite457.0ms (10.3%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
7×add-sqr-sqrt_binary64
6×add-cube-cbrt_binary64
5×add-log-exp_binary64
5×pow1_binary64
Counts
3 → 49
Calls

3 calls:

451.0ms
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
3.0ms
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
1.0ms
(sqrt.f64 (fma.f64 x x -1))

simplify123.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
583×fma-neg_binary64
330×sub-neg_binary64
301×fma-def_binary64
254×distribute-neg-frac_binary64
210×associate-+l+_binary64
Counts
85 → 118
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01591395
14011305
210521265
334241265
447731265
549151265

prune65.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh000
Picked011
Done000
Total1172119
Error
0b
Counts
119 → 2
Alt Table
StatusErrorProgram
▶0.1b
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
✓34.4b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 1890 to 1411 computations (25.3% saved)

localize6.0ms (0.1%)

prune1.0ms (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
✓0.1b
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
✓34.4b
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes23.0ms (0.5%)

Accuracy

Total 0.2b remaining (87.4%)

Threshold costs 0.2b (87.4%)

Counts
6 → 1
Compiler

Compiled 174 to 124 computations (28.7% saved)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1710

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.7s (60.4%)

Algorithm
1×intervals
Results
909.0ms3931×body2048nan
478.0ms8000×body128valid
331.0ms1965×body1024nan
315.0ms998×body512nan
41.0ms499×body256nan
19.0ms456×body128nan
1.0ms4×body4096nan
Compiler

Compiled 37 to 27 computations (27% saved)

Profiling

Loading profile data...