Details

Time bar (total: 4.4s)

analyze385.0ms (8.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
62.5%37.5%0%4
68.7%31.2%0%5
71.8%28.1%0%6
73.4%26.5%0%7
74.2%25.8%0%8
74.6%25.4%0%9
74.8%25.2%0%10
74.9%25.1%0%11
74.9%25%0%12
74.9%25%0%13
75%25%0%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.3s (75.4%)

Results
1.5s2604×body1024valid
770.0ms1245×body2048valid
514.0ms1334×body512valid
291.0ms2420×body128valid
135.0ms601×body256valid
41.0ms52×body4096valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
1×hypot-1-def_binary64
1×fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
1139
2149
3139

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
46.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶46.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
Compiler

Compiled 30 to 21 computations (30% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(hypot.f64 1 x)
✓0.9b
(+.f64 x (hypot.f64 1 x))
✓3.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))

series9.0ms (0.2%)

Counts
3 → 36
Calls

3 calls:

4.0ms
(log.f64 (+.f64 x (hypot.f64 1 x)))
3.0ms
(+.f64 x (hypot.f64 1 x))
2.0ms
(hypot.f64 1 x)

rewrite8.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
5×add-log-exp_binary64
5×add-sqr-sqrt_binary64
5×add-cube-cbrt_binary64
4×add-exp-log_binary64
Counts
3 → 44
Calls

3 calls:

2.0ms
(+.f64 x (hypot.f64 1 x))
2.0ms
(log.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms
(hypot.f64 1 x)

simplify72.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
910×fma-neg_binary64
469×cancel-sign-sub-inv_binary64
426×associate-/r*_binary64
376×fma-def_binary64
361×sub-neg_binary64
Counts
80 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01481089
13941025
29591013
326751013
449991013
553381013

prune62.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh000
Picked011
Done000
Total1113114
Error
0.0b
Counts
114 → 3
Alt Table
StatusErrorProgram
▶30.0b
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
✓46.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
47.3b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 1573 to 1184 computations (24.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 3/40 (pow.f64 x 5) x)
✓16.0b
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))

series8.0ms (0.2%)

Counts
2 → 24
Calls

2 calls:

5.0ms
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
3.0ms
(fma.f64 3/40 (pow.f64 x 5) x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
2×*-un-lft-identity_binary64
2×add-sqr-sqrt_binary64
2×add-cube-cbrt_binary64
2×add-cbrt-cube_binary64
2×add-exp-log_binary64
Counts
2 → 20
Calls

2 calls:

0.0ms
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
0.0ms
(fma.f64 3/40 (pow.f64 x 5) x)

simplify53.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
612×associate-*l*_binary64
578×associate-*r*_binary64
480×distribute-lft-in_binary64
480×distribute-rgt-in_binary64
291×fma-def_binary64
Counts
44 → 31
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036584
165520
2153518
3599518
43541518
54941518

prune18.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh011
Picked011
Done011
Total31334
Error
0.0b
Counts
34 → 3
Alt Table
StatusErrorProgram
✓30.0b
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
✓46.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
▶47.3b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 498 to 379 computations (23.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
✓0.2b
(/.f64 1/8 (pow.f64 x 3))
✓9.7b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))

series10.0ms (0.2%)

Counts
3 → 24
Calls

3 calls:

4.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
3.0ms
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
3.0ms
(/.f64 1/8 (pow.f64 x 3))

rewrite60.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
76×times-frac_binary64
63×*-un-lft-identity_binary64
51×add-sqr-sqrt_binary64
51×add-cube-cbrt_binary64
40×fma-def_binary64
Counts
3 → 142
Calls

3 calls:

26.0ms
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
23.0ms
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
3.0ms
(/.f64 1/8 (pow.f64 x 3))

simplify86.0ms (2%)

Algorithm
1×egg-herbie
Rules
409×fma-def_binary64
378×associate-/l*_binary64
347×cancel-sign-sub-inv_binary64
334×associate-*l/_binary64
284×associate-/l/_binary64
Counts
166 → 185
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01952065
14021967
213951913
347651912
450791912

prune101.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1850185
Fresh000
Picked011
Done022
Total1853188
Error
0.0b
Counts
188 → 3
Alt Table
StatusErrorProgram
✓30.0b
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 3/40 (pow.f64 x 5) x))
✓46.4b
(log.f64 (+.f64 x (hypot.f64 1 x)))
✓47.3b
(log.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)))
Compiler

Compiled 3325 to 2641 computations (20.6% saved)

regimes69.0ms (1.6%)

Accuracy

Total 0.1b remaining (73%)

Threshold costs 0.1b (73%)

Counts
16 → 3
Compiler

Compiled 477 to 373 computations (21.8% saved)

bsearch39.0ms (0.9%)

Steps
ItersRangePoint
9
7.526563007762365e-8
0.6481950730958357
0.007973612033633082
9
-106001.9435535608
-0.5823619145865685
-1.1362140983727111
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751
13151
23051

end76.0ms (1.7%)

Compiler

Compiled 102 to 77 computations (24.5% saved)

Profiling

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