Details

Time bar (total: 1.9s)

analyze26.0ms (1.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
50%50%0.1%3
50%50%0.1%4
74.9%25%0.1%5
74.9%25%0.1%6
87.4%12.5%0.1%7
87.4%12.5%0.1%8
93.7%6.2%0.1%9
93.7%6.2%0.1%10
96.8%3.1%0.1%11
96.8%3.1%0.1%12
98.3%1.6%0.1%13
98.3%1.6%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample740.0ms (38.3%)

Infinites
0% of outputs are infinite.
Results
567.0ms8256×body128valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify131.0ms (6.8%)

Algorithm
1×egg-herbie
Rules
878×div-sub_binary64
546×times-frac_binary64
500×sub-neg_binary64
408×fma-def_binary64
395×neg-sub0_binary64
Counts
1 → 2
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
0813
11613
24013
38113
415313
524813
643511
7107711
8302911
9355811
10395911
11415811
12437711
13455211
14508311

prune4.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.0b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶9.2b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
13.2b
(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))
Compiler

Compiled 61 to 40 computations (34.4% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓9.2b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

series11.0ms (0.6%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

5.0ms
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))

simplify53.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
539×associate-/r/_binary64
418×fma-neg_binary64
375×cancel-sign-sub-inv_binary64
232×fma-def_binary64
195×times-frac_binary64
Counts
53 → 47
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0931094
12181030
2655982
32331968
44993968

prune27.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New45247
Fresh101
Picked011
Done000
Total46349
Error
0b
Counts
49 → 3
Alt Table
StatusErrorProgram
▶10.4b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
✓9.2b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
30.1b
(*.f64 2 y)
Compiler

Compiled 840 to 494 computations (41.2% saved)

localize14.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.7b
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
✓1.2b
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
✓2.1b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
✓9.5b
(cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))

series93.0ms (4.8%)

Counts
4 → 96
Calls

4 calls:

30.0ms
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
26.0ms
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
23.0ms
(cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))
13.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))

rewrite37.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
62×add-exp-log_binary64
59×add-sqr-sqrt_binary64
36×times-frac_binary64
33×*-un-lft-identity_binary64
31×cbrt-prod_binary64
Counts
4 → 164
Calls

4 calls:

12.0ms
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
4.0ms
(/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))
1.0ms
(cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))

simplify176.0ms (9.1%)

Algorithm
1×egg-herbie
Rules
296×times-frac_binary64
286×associate-*r*_binary64
262×*-commutative_binary64
261×associate-/l*_binary64
240×associate-/r*_binary64
Counts
260 → 344
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04399627
112207933
246337267
349647267

prune377.0ms (19.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4440444
Fresh011
Picked011
Done011
Total4443447
Error
0b
Counts
447 → 3
Alt Table
StatusErrorProgram
✓10.4b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
✓9.2b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
▶30.1b
(*.f64 2 y)
Compiler

Compiled 18388 to 12508 computations (32% saved)

localize2.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
StatusErrorProgram
✓10.4b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)) (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2)))) (/.f64 x (cbrt.f64 (fma.f64 1/2 (/.f64 x y) -1/2))))
✓9.2b
(/.f64 x (fma.f64 1/2 (/.f64 x y) -1/2))
✓30.1b
(*.f64 2 y)
Compiler

Compiled 44 to 31 computations (29.5% saved)

regimes145.0ms (7.5%)

Accuracy

Total 0.6b remaining (98%)

Threshold costs 0.6b (98%)

Counts
20 → 5
Compiler

Compiled 1255 to 916 computations (27% saved)

bsearch1.0ms (0%)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
3×if-not_binary64
3×if-if-or-not_binary64
3×not-not_bool
3×not-or_bool
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026122
133111
241102
349100
453100
556100
656100
757100
857100

end76.0ms (3.9%)

Compiler

Compiled 182 to 115 computations (36.8% saved)

Profiling

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