Details

Time bar (total: 3.7s)

analyze366.0ms (9.8%)

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%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)

sample33.0ms (0.9%)

Algorithm
intervals
Results
7.0ms256×body128valid
1.0ms32×body128invalid
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify8.0ms (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

prune3.0ms (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
6.7b
(+.f64 x (/.f64 (*.f64 y y) z))
0.1b
(fma.f64 y (/.f64 y z) x)
Compiler

Compiled 54 to 30 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.3%)

Counts
1 → 36
Calls

1 calls:

12.0ms
(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:

0.0ms
(fma.f64 y (/.f64 y z) x)

simplify47.0ms (1.3%)

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

prune12.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh011
Picked011
Done000
Total14519
Error
0.0b
Counts
19 → 5
Alt Table
StatusErrorProgram
6.7b
(+.f64 x (/.f64 (*.f64 y y) z))
28.4b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.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)))
45.3b
(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)
Compiler

Compiled 322 to 103 computations (68% saved)

localize8.0ms (0.2%)

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))

series268.0ms (7.2%)

Counts
3 → 108
Calls

3 calls:

138.0ms
(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
77.0ms
(*.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)))
52.0ms
(cbrt.f64 (fma.f64 y (/.f64 y z) x))

rewrite19.0ms (0.5%)

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 (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
5.0ms
(*.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))

simplify227.0ms (6.1%)

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

prune251.0ms (6.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New3633366
Fresh033
Picked011
Done011
Total3638371
Error
0.0b
Counts
371 → 8
Alt Table
StatusErrorProgram
6.7b
(+.f64 x (/.f64 (*.f64 y y) z))
34.3b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
2.2b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
20.7b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
28.4b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.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)))
45.3b
(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)
Compiler

Compiled 14445 to 5305 computations (63.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
0.6b
(cbrt.f64 (fma.f64 y (/.f64 y z) x))
1.3b
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)

series284.0ms (7.6%)

Counts
3 → 108
Calls

3 calls:

212.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)
59.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
13.0ms
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
41×cbrt-prod_binary64
33×add-sqr-sqrt_binary64
24×unpow-prod-down_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
Counts
3 → 85
Calls

3 calls:

6.0ms
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
2.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

simplify130.0ms (3.5%)

Algorithm
egg-herbie
Rules
744×fma-def_binary64
587×unswap-sqr_binary64
347×associate-*r*_binary64
220×associate-*l*_binary64
205×*-commutative_binary64
Counts
193 → 210
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03496826
110076191
233115654
350545654

prune242.0ms (6.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3233326
Fresh145
Picked101
Done022
Total3259334
Error
0b
Counts
334 → 9
Alt Table
StatusErrorProgram
6.7b
(+.f64 x (/.f64 (*.f64 y y) z))
34.3b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
2.4b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 2)))
28.4b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
2.3b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.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)))
29.4b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
45.3b
(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)
Compiler

Compiled 13008 to 6237 computations (52.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
0.6b
(cbrt.f64 (*.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))
1.3b
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6)

series301.0ms (8.1%)

Counts
3 → 108
Calls

3 calls:

177.0ms
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6)
68.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))
56.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-exp-log_binary64
pow1_binary64
Counts
3 → 44
Calls

3 calls:

4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
3.0ms
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6)
2.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

simplify156.0ms (4.2%)

Algorithm
egg-herbie
Rules
441×unswap-sqr_binary64
391×associate-*r*_binary64
254×*-commutative_binary64
203×sqr-pow_binary64
199×times-frac_binary64
Counts
152 → 174
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04168178
112677716
239967499
353307499

prune324.0ms (8.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4060406
Fresh066
Picked011
Done022
Total4069415
Error
0b
Counts
415 → 9
Alt Table
StatusErrorProgram
6.7b
(+.f64 x (/.f64 (*.f64 y y) z))
34.3b
(*.f64 (cbrt.f64 (*.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
2.4b
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 2)))
28.4b
(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
2.3b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
1.4b
(*.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)))
29.4b
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) 6) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
45.3b
(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)
Compiler

Compiled 23382 to 10242 computations (56.2% saved)

regimes343.0ms (9.2%)

Accuracy

Total 0.1b remaining (70.6%)

Threshold costs 0.1b (70.6%)

Counts
51 → 1
Compiler

Compiled 7626 to 3778 computations (50.5% saved)

simplify14.0ms (0.4%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
168

end0.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample629.0ms (16.8%)

Algorithm
intervals
Results
236.0ms8000×body128valid
29.0ms924×body128invalid
Compiler

Compiled 247 to 100 computations (59.5% saved)

Profiling

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