Details

Time bar (total: 12.5s)

analyze102.0ms (0.8%)

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)

sample952.0ms (7.6%)

Results
874.0ms8254×body128valid
26.0ms212×body128invalid
1.0msbody1024valid
Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify18.0ms (0.1%)

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%)

Local error

Found 1 expressions with local error:

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

series10.0ms (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 (0.4%)

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

prune16.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New23225
Fresh000
Picked011
Done000
Total23326
Error
0.0b
Counts
26 → 3
Alt Table
StatusErrorProgram
35.1b
(*.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)

localize10.0ms (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))))
0.4b
(*.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)))

series229.0ms (1.8%)

Counts
3 → 45
Calls

3 calls:

142.0ms
(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
77.0ms
(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))))

rewrite20.0ms (0.2%)

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:

6.0ms
(*.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)))

simplify125.0ms (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

prune505.0ms (4.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3686374
Fresh011
Picked101
Done011
Total3698377
Error
0.0b
Counts
377 → 8
Alt Table
StatusErrorProgram
35.3b
(*.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 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.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))))) (cbrt.f64 (*.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)))))) (cbrt.f64 (*.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))))))
0.9b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)
1.3b
(*.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))))
35.1b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
35.3b
(*.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 3)) (sqrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
23.5b
(*.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))))
Compiler

Compiled 17461 to 10464 computations (40.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
0.4b
(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
0.5b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)

series7.2s (58.1%)

Counts
1 → 15
Calls

1 calls:

7.2s
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)

rewrite3.0ms (0%)

Algorithm
rewrite-expression-head
Rules
cube-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
cbrt-prod_binary64
unpow-prod-down_binary64
Counts
1 → 32
Calls

1 calls:

2.0ms
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)

simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
847×fma-def_binary64
478×associate-*l*_binary64
369×associate-*r*_binary64
343×log-prod_binary64
251×exp-prod_binary64
Counts
47 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0861221
1206953
2570922
32728744
44592744
54889744

prune137.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh246
Picked011
Done011
Total1337140
Error
0.0b
Counts
140 → 7
Alt Table
StatusErrorProgram
3.1b
(fma.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)) y) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)))
23.5b
(*.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))))
35.3b
(*.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 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.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))))) (cbrt.f64 (*.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)))))) (cbrt.f64 (*.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))))))
0.9b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)
35.1b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 3728 to 2315 computations (37.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series189.0ms (1.5%)

Counts
2 → 30
Calls

2 calls:

115.0ms
(*.f64 (cbrt.f64 (*.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))))) (cbrt.f64 (*.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))))))
73.0ms
(cbrt.f64 (*.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)))))

rewrite16.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64
add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 45
Calls

2 calls:

6.0ms
(*.f64 (cbrt.f64 (*.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))))) (cbrt.f64 (*.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))))))
5.0ms
(cbrt.f64 (*.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)))))

simplify126.0ms (1%)

Algorithm
egg-herbie
Rules
530×times-frac_binary64
340×fma-def_binary64
284×sub-neg_binary64
266×associate-*r*_binary64
234×*-commutative_binary64
Counts
75 → 123
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03454211
110593873
238373600
351143600

prune2.2s (17.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9510951
Fresh044
Picked011
Done022
Total9517958
Error
0.0b
Counts
958 → 7
Alt Table
StatusErrorProgram
3.1b
(fma.f64 (/.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)) y) (-.f64 (sqrt.f64 (/.f64 1 x)) (sqrt.f64 x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 -1 y)))
23.5b
(*.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))))
35.3b
(*.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 (cbrt.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))))
1.0b
(*.f64 (*.f64 (cbrt.f64 (*.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))))) (cbrt.f64 (*.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)))))) (cbrt.f64 (*.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))))))
0.9b
(pow.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) 3)
35.1b
(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
0.1b
(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
Compiler

Compiled 103934 to 61740 computations (40.6% saved)

regimes280.0ms (2.2%)

Accuracy

Total 0.1b remaining (61.6%)

Threshold costs 0.1b (61.6%)

Counts
60 → 1
Compiler

Compiled 7189 to 4536 computations (36.9% saved)

simplify2.0ms (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

end146.0ms (1.2%)

Compiler

Compiled 238 to 148 computations (37.8% saved)

Profiling

Loading profile data...