Details

Time bar (total: 11.2s)

analyze1.7s (15%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.8%98%0.3%13
2.4%97.3%0.3%14
Compiler

Compiled 22 to 14 computations (36.4% saved)

sample96.0ms (0.9%)

Algorithm
intervals
Results
17.0ms256×body128valid
8.0ms148×body128invalid
Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Rules
89×fma-def_binary64
24×associate-+l+_binary64
22×associate-+r+_binary64
19×+-commutative_binary64
10×*-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01422
12716
26615
312213
415713
516413
616713
716713

prune3.0ms (0%)

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
1.8b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
2.9b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
Compiler

Compiled 105 to 60 computations (42.9% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
1.7b
(fma.f64 a (fma.f64 z b t) x)

series14.0ms (0.1%)

Counts
1 → 60
Calls

1 calls:

14.0ms
(fma.f64 a (fma.f64 z b t) 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 a (fma.f64 z b t) x)

simplify105.0ms (0.9%)

Algorithm
egg-herbie
Rules
890×distribute-rgt-in_binary64
886×distribute-lft-in_binary64
636×unswap-sqr_binary64
393×associate-*l*_binary64
336×associate-*r*_binary64
Counts
70 → 33
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033626
149607
2126607
3510607
43225607
53357607
63579607
73869607
84363607
94411607
105048607

prune25.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh011
Picked011
Done000
Total31435
Error
0.0b
Counts
35 → 4
Alt Table
StatusErrorProgram
39.3b
(fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 a (fma.f64 b z t) x) 3)))
1.8b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
2.9b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
2.8b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
Compiler

Compiled 591 to 183 computations (69% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
0.5b
(*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
0.6b
(cbrt.f64 (fma.f64 a (fma.f64 z b t) x))
1.7b
(fma.f64 a (fma.f64 z b t) x)

series701.0ms (6.3%)

Counts
3 → 180
Calls

3 calls:

485.0ms
(*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
197.0ms
(cbrt.f64 (fma.f64 a (fma.f64 z b t) x))
17.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) 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:

8.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
1.0ms
(cbrt.f64 (fma.f64 a (fma.f64 z b t) x))

simplify241.0ms (2.1%)

Algorithm
egg-herbie
Rules
360×associate-*r*_binary64
330×fma-def_binary64
267×associate-+r+_binary64
168×associate-*r/_binary64
168×associate-/l*_binary64
Counts
273 → 338
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0165123216
1504623216

prune1.0s (9.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New6845689
Fresh022
Picked101
Done011
Total6858693
Error
0.0b
Counts
693 → 8
Alt Table
StatusErrorProgram
39.3b
(fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 a (fma.f64 b z t) x) 3)))
3.0b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
3.0b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
2.9b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
1.8b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
2.9b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
2.9b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))))
36.1b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
Compiler

Compiled 65081 to 29728 computations (54.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
0.6b
(cbrt.f64 (fma.f64 a (fma.f64 z b t) x))
1.7b
(fma.f64 a (fma.f64 z b t) x)

series755.0ms (6.7%)

Counts
2 → 120
Calls

2 calls:

567.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
187.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))

rewrite5.0ms (0%)

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 27
Calls

2 calls:

2.0ms
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))

simplify218.0ms (1.9%)

Algorithm
egg-herbie
Rules
369×associate-*r*_binary64
328×fma-def_binary64
268×associate-+r+_binary64
173×associate-*r/_binary64
171×associate-/l*_binary64
Counts
147 → 252
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166521552
1510121552

prune1.8s (16%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New104701047
Fresh066
Picked011
Done011
Total104781055
Error
0.0b
Counts
1055 → 8
Alt Table
StatusErrorProgram
39.3b
(fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 a (fma.f64 b z t) x) 3)))
3.0b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
3.0b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
2.9b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
1.8b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
2.9b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
2.9b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))))
36.1b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
Compiler

Compiled 124698 to 49175 computations (60.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))
0.6b
(cbrt.f64 (fma.f64 a (fma.f64 z b t) x))
1.7b
(fma.f64 a (fma.f64 z b t) x)

prune1.8s (16.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New104701047
Fresh055
Picked011
Done022
Total104781055
Error
0.0b
Counts
1055 → 8
Alt Table
StatusErrorProgram
39.3b
(fma.f64 y z (cbrt.f64 (pow.f64 (fma.f64 a (fma.f64 b z t) x) 3)))
3.0b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
3.0b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
2.9b
(fma.f64 y z (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
1.8b
(fma.f64 y z (fma.f64 a (fma.f64 z b t) x))
2.9b
(+.f64 (+.f64 (+.f64 x (*.f64 y z)) (*.f64 t a)) (*.f64 (*.f64 a z) b))
2.9b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))))
36.1b
(fma.f64 y z (*.f64 (*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x)))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))) (sqrt.f64 (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))) (cbrt.f64 (fma.f64 a (fma.f64 z b t) x))))
Compiler

Compiled 124434 to 49421 computations (60.3% saved)

regimes1.4s (12.4%)

Accuracy

Total 1.4b remaining (98.8%)

Threshold costs 0b (0%)

Counts
150 → 2
Compiler

Compiled 43309 to 16625 computations (61.6% saved)

bsearch19.0ms (0.2%)

Steps
ItersRangePoint
4
1.096053602552324e+44
1.5287824442749603e+46
1.4924608736539529e+44
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141
12841
22841

end1.0ms (0%)

Compiler

Compiled 35 to 19 computations (45.7% saved)

sample1.2s (11%)

Algorithm
intervals
Results
428.0ms8000×body128valid
219.0ms3945×body128invalid
Compiler

Compiled 398 to 148 computations (62.8% saved)

Profiling

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