Details

Time bar (total: 5.9s)

analyze76.0ms (1.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%74.9%25.1%4
12.5%62.4%25.1%5
25%37.5%37.6%6
31.2%31.2%37.6%7
37.5%18.7%43.8%8
39%15.6%45.4%9
42.1%9.4%48.5%10
42.9%7.8%49.3%11
44.5%4.7%50.8%12
44.9%3.9%51.2%13
45.7%2.3%52%14
Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.0s (17.1%)

Results
784.0ms8254×body128valid
21.0ms196×body128invalid
1.0msbody1024valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify20.0ms (0.3%)

Algorithm
egg-herbie
Rules
151×fma-def_binary64
131×fma-neg_binary64
45×cancel-sign-sub-inv_binary64
38×sub-neg_binary64
31×unsub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0812
11610
23710
36310
412710
523310
632410
736110
840010
941410
1038310

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.1b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 35 to 22 computations (37.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

series9.0ms (0.1%)

Counts
1 → 15
Calls

1 calls:

9.0ms
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

simplify55.0ms (0.9%)

Algorithm
egg-herbie
Rules
709×distribute-rgt-in_binary64
693×distribute-lft-in_binary64
571×neg-mul-1_binary64
544×unsub-neg_binary64
296×associate-+l+_binary64
Counts
25 → 25
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023263
134241
294241
3413241
42431241
54317241
64957241

prune17.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New23225
Fresh000
Picked011
Done000
Total23326
Error
0.1b
Counts
26 → 3
Alt Table
StatusErrorProgram
34.9b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 358 to 198 computations (44.7% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.2b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.3b
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.4b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

series209.0ms (3.5%)

Counts
3 → 45
Calls

3 calls:

127.0ms
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
72.0ms
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
10.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

rewrite19.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64
24×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
14×*-un-lft-identity_binary64
Counts
3 → 93
Calls

3 calls:

8.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
1.0ms
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

simplify123.0ms (2.1%)

Algorithm
egg-herbie
Rules
530×times-frac_binary64
343×fma-def_binary64
292×associate-*r*_binary64
246×*-commutative_binary64
235×associate-*l*_binary64
Counts
138 → 195
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03695400
111024956
240184580
349604580

prune495.0ms (8.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3695374
Fresh011
Picked011
Done011
Total3698377
Error
0.0b
Counts
377 → 8
Alt Table
StatusErrorProgram
34.9b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
35.0b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
24.2b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
1.4b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
1.1b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
Compiler

Compiled 17395 to 10425 computations (40.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
0.3b
(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.3b
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
0.4b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

series308.0ms (5.2%)

Counts
3 → 45
Calls

3 calls:

121.0ms
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
116.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
70.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

rewrite42.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
66×cbrt-prod_binary64
37×add-sqr-sqrt_binary64
21×pow1_binary64
20×add-cube-cbrt_binary64
19×*-un-lft-identity_binary64
Counts
3 → 102
Calls

3 calls:

23.0ms
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
6.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

simplify172.0ms (2.9%)

Algorithm
egg-herbie
Rules
548×fma-def_binary64
471×associate-*r*_binary64
360×fma-neg_binary64
345×associate-*l*_binary64
188×*-commutative_binary64
Counts
147 → 197
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05348252
116077760
249827760
352717760

prune970.0ms (16.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New5421543
Fresh145
Picked101
Done022
Total5447551
Error
0.0b
Counts
551 → 7
Alt Table
StatusErrorProgram
34.9b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
35.0b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
24.2b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 42745 to 26207 computations (38.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
0.4b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
0.4b
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))
0.6b
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)

series503.0ms (8.5%)

Counts
3 → 45
Calls

3 calls:

313.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)
116.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
73.0ms
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))

rewrite13.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod_binary64
12×*-un-lft-identity_binary64
12×add-sqr-sqrt_binary64
11×unpow-prod-down_binary64
add-cube-cbrt_binary64
Counts
3 → 56
Calls

3 calls:

4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)
3.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
2.0ms
(cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))

simplify102.0ms (1.7%)

Algorithm
egg-herbie
Rules
488×fma-def_binary64
316×associate-*r*_binary64
231×associate-*l*_binary64
208×associate-+l+_binary64
155×*-commutative_binary64
Counts
101 → 153
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05066070
115225709
250145709

prune697.0ms (11.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3081309
Fresh044
Picked011
Done022
Total3088316
Error
0.0b
Counts
316 → 8
Alt Table
StatusErrorProgram
34.9b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
35.0b
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
1.2b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
24.2b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.9b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
1.4b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 22711 to 14238 computations (37.3% saved)

regimes845.0ms (14.2%)

Accuracy

Total 0.0b remaining (49.7%)

Threshold costs 0.0b (49.7%)

Counts
157 → 1
Compiler

Compiled 21416 to 13546 computations (36.7% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21510
31710
41810
51710

end189.0ms (3.2%)

Compiler

Compiled 315 to 201 computations (36.2% saved)

Profiling

Loading profile data...