Details

Time bar (total: 6.5s)

analyze742.0ms (11.4%)

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%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
27.3%67.1%5.6%9
41%50.3%8.7%10
43.9%47%9.1%11
48.3%38%13.7%12
56.3%27.4%16.2%13
58.2%25.4%16.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample38.0ms (0.6%)

Algorithm
intervals
Results
15.0ms256×body128valid
1.0ms25×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Rules
fma-def_binary64
+-commutative_binary64
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0710
11010
2128
3148
4158
5158

prune6.0ms (0.1%)

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
0.1b
(fma.f64 y (/.f64 y z) x)
6.3b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 54 to 30 computations (44.4% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)

series31.0ms (0.5%)

Counts
1 → 36
Calls

1 calls:

31.0ms
(fma.f64 y (/.f64 y z) 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:

1.0ms
(fma.f64 y (/.f64 y z) x)

simplify90.0ms (1.4%)

Algorithm
egg-herbie
Rules
611×associate-/l/_binary64
604×associate-+l+_binary64
543×associate-*l*_binary64
462×fma-def_binary64
424×associate-/r*_binary64
Counts
46 → 17
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020376
128359
259359
3151359
4551359
52861359
65394359

prune19.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh011
Picked011
Done000
Total15419
Error
0.0b
Counts
19 → 4
Alt Table
StatusErrorProgram
1.5b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
39.9b
(cbrt.f64 (*.f64 (*.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x)) (fma.f64 y (/.f64 y z) x)))
0.1b
(fma.f64 y (/.f64 y z) x)
6.3b
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 286 to 89 computations (68.9% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series265.0ms (4.1%)

Counts
3 → 108
Calls

3 calls:

122.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
114.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
29.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite45.0ms (0.7%)

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:

15.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
10.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify348.0ms (5.4%)

Algorithm
egg-herbie
Rules
688×fma-def_binary64
298×associate-*r*_binary64
276×cancel-sign-sub-inv_binary64
257×unswap-sqr_binary64
188×*-commutative_binary64
Counts
201 → 199
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03166172
19055625
227385166
346044783
449604783
549204783

prune460.0ms (7.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3633366
Fresh112
Picked101
Done011
Total3655370
Error
0.0b
Counts
370 → 5
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
6.3b
(+.f64 x (/.f64 (*.f64 y y) z))
1.5b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
34.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (exp.f64 (log.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
Compiler

Compiled 14419 to 5273 computations (63.4% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
0.6b
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

series245.0ms (3.8%)

Counts
2 → 72
Calls

2 calls:

124.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
120.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

rewrite30.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
cbrt-prod_binary64
associate-*l*_binary64
add-cube-cbrt_binary64
*-un-lft-identity_binary64
Counts
2 → 39
Calls

2 calls:

16.0ms
(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
8.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))

simplify234.0ms (3.6%)

Algorithm
egg-herbie
Rules
680×fma-def_binary64
276×cancel-sign-sub-inv_binary64
263×associate-*r*_binary64
248×associate-/r/_binary64
244×fma-neg_binary64
Counts
111 → 142
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02954911
18664559
225804282
349474280
450004280

prune694.0ms (10.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New5222524
Fresh123
Picked011
Done011
Total5236529
Error
0.0b
Counts
529 → 6
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
6.3b
(+.f64 x (/.f64 (*.f64 y y) z))
1.5b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
34.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (pow.f64 (fma.f64 y (/.f64 y z) x) 1/3)))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
61.4b
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 y)) -4 (*.f64 (log.f64 z) -2)))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
Compiler

Compiled 30991 to 10645 computations (65.7% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
0.5b
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series219.0ms (3.4%)

Counts
2 → 72
Calls

2 calls:

119.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
100.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite28.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod_binary64
34×add-sqr-sqrt_binary64
16×*-un-lft-identity_binary64
16×add-cube-cbrt_binary64
associate-*r*_binary64
Counts
2 → 72
Calls

2 calls:

15.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
2.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

simplify359.0ms (5.5%)

Algorithm
egg-herbie
Rules
697×fma-def_binary64
291×cancel-sign-sub-inv_binary64
277×associate-*r*_binary64
228×unswap-sqr_binary64
184×*-commutative_binary64
Counts
144 → 168
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03276415
19165971
227275536
346015158
449665158
549185158

prune913.0ms (14.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New6700670
Fresh033
Picked011
Done022
Total6706676
Error
0.0b
Counts
676 → 6
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (/.f64 y z) x)
6.3b
(+.f64 x (/.f64 (*.f64 y y) z))
1.5b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
34.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (pow.f64 (fma.f64 y (/.f64 y z) x) 1/3)))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.7b
(*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
61.4b
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 (log.f64 (/.f64 -1 y)) -4 (*.f64 (log.f64 z) -2)))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
Compiler

Compiled 42758 to 13436 computations (68.6% saved)

regimes942.0ms (14.5%)

Accuracy

Total 0.1b remaining (62.4%)

Threshold costs 0.1b (62.4%)

Counts
132 → 1
Compiler

Compiled 25404 to 9304 computations (63.4% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample695.0ms (10.7%)

Algorithm
intervals
Results
313.0ms8000×body128valid
32.0ms901×body128invalid
Compiler

Compiled 197 to 78 computations (60.4% saved)

Profiling

Loading profile data...