Details

Time bar (total: 2.6s)

analyze713.0ms (27.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
7.8%92%0.2%9
11.7%88.1%0.2%10
24.2%64.7%11.1%11
27.9%59.8%12.3%12
35%52.5%12.5%13
38.6%48.2%13.2%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample40.0ms (1.6%)

Algorithm
intervals
Results
9.0ms256×body128valid
2.0ms56×body128invalid
Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1159
2259
3389
4529
5529

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
0.1b
(fma.f64 y (fma.f64 x y z) t)
0.1b
(+.f64 (*.f64 (+.f64 (*.f64 x y) z) y) t)
Compiler

Compiled 68 to 38 computations (44.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

15.0ms
(fma.f64 y (fma.f64 x y z) t)

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 (fma.f64 x y z) t)

simplify68.0ms (2.6%)

Algorithm
egg-herbie
Rules
775×associate-+l+_binary64
772×associate-+r+_binary64
678×unswap-sqr_binary64
551×*-commutative_binary64
295×distribute-lft-in_binary64
Counts
58 → 31
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026697
147499
284499
3257499
41272499
53520499
64213499
75348499

prune20.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New28331
Fresh101
Picked011
Done000
Total29433
Error
0.0b
Counts
33 → 4
Alt Table
StatusErrorProgram
2.3b
(+.f64 (*.f64 y z) (+.f64 t (*.f64 (pow.f64 y 2) x)))
0.1b
(fma.f64 y (fma.f64 x y z) t)
1.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t))) (cbrt.f64 (fma.f64 y (fma.f64 x y z) t)))
0.1b
(+.f64 (*.f64 y (fma.f64 x y z)) t)
Compiler

Compiled 435 to 133 computations (69.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 y (fma.f64 x y z)) t)
0.1b
(*.f64 y (fma.f64 x y z))

series23.0ms (0.9%)

Counts
2 → 84
Calls

2 calls:

14.0ms
(+.f64 (*.f64 y (fma.f64 x y z)) t)
9.0ms
(*.f64 y (fma.f64 x y z))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
fma-udef_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 38
Calls

2 calls:

3.0ms
(+.f64 (*.f64 y (fma.f64 x y z)) t)
3.0ms
(*.f64 y (fma.f64 x y z))

simplify66.0ms (2.6%)

Algorithm
egg-herbie
Rules
551×fma-neg_binary64
525×cancel-sign-sub-inv_binary64
451×associate-+l+_binary64
423×associate-+r+_binary64
329×*-commutative_binary64
Counts
122 → 76
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0721379
11681097
24501090
316601090
434611090
547191090

prune45.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New74276
Fresh112
Picked101
Done101
Total77380
Error
0.0b
Counts
80 → 3
Alt Table
StatusErrorProgram
2.3b
(+.f64 (*.f64 y z) (+.f64 t (*.f64 (pow.f64 y 2) x)))
0.1b
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
33.7b
(+.f64 (*.f64 (*.f64 y (sqrt.f64 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x y z))) t)
Compiler

Compiled 1098 to 290 computations (73.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
0.2b
(*.f64 (*.f64 x y) y)

series26.0ms (1%)

Counts
2 → 72
Calls

2 calls:

17.0ms
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
9.0ms
(*.f64 (*.f64 x y) y)

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64
add-exp-log_binary64
pow1_binary64
add-log-exp_binary64
associate-*r*_binary64
Counts
2 → 35
Calls

2 calls:

4.0ms
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
4.0ms
(*.f64 (*.f64 x y) y)

simplify86.0ms (3.4%)

Algorithm
egg-herbie
Rules
927×fma-neg_binary64
392×distribute-rgt-in_binary64
381×distribute-lft-in_binary64
368×*-commutative_binary64
308×unswap-sqr_binary64
Counts
107 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0711124
11871089
2695939
32272937
43084937
54920937
64964937

prune35.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh112
Picked011
Done000
Total66470
Error
0.0b
Counts
70 → 4
Alt Table
StatusErrorProgram
0.1b
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
39.6b
(/.f64 (-.f64 (*.f64 (*.f64 x x) (pow.f64 y 4)) (*.f64 (fma.f64 y z t) (fma.f64 y z t))) (fma.f64 y (-.f64 (*.f64 y x) z) (neg.f64 t)))
2.3b
(+.f64 (*.f64 (pow.f64 y 2) x) (fma.f64 y z t))
33.7b
(+.f64 (*.f64 (*.f64 y (sqrt.f64 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x y z))) t)
Compiler

Compiled 1110 to 301 computations (72.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (pow.f64 y 2) x) (fma.f64 y z t))
6.6b
(*.f64 (pow.f64 y 2) x)

series27.0ms (1.1%)

Counts
2 → 48
Calls

2 calls:

19.0ms
(+.f64 (*.f64 (pow.f64 y 2) x) (fma.f64 y z t))
8.0ms
(*.f64 (pow.f64 y 2) x)

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
associate-*l*_binary64
add-exp-log_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
2 → 44
Calls

2 calls:

4.0ms
(*.f64 (pow.f64 y 2) x)
4.0ms
(+.f64 (*.f64 (pow.f64 y 2) x) (fma.f64 y z t))

simplify97.0ms (3.8%)

Algorithm
egg-herbie
Rules
540×fma-neg_binary64
485×cancel-sign-sub-inv_binary64
449×associate-*l*_binary64
416×unswap-sqr_binary64
361×associate-*r*_binary64
Counts
92 → 82
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0831085
1190996
2614988
32823988
44270988
54557988
65038988

prune52.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New80282
Fresh112
Picked011
Done011
Total81586
Error
0b
Counts
86 → 5
Alt Table
StatusErrorProgram
33.7b
(+.f64 (*.f64 (*.f64 y (sqrt.f64 (fma.f64 x y z))) (sqrt.f64 (fma.f64 x y z))) t)
34.4b
(+.f64 (*.f64 (*.f64 (pow.f64 y 2) (sqrt.f64 x)) (sqrt.f64 x)) (fma.f64 y z t))
0.1b
(+.f64 (*.f64 (*.f64 x y) y) (fma.f64 y z t))
2.3b
(+.f64 (*.f64 (pow.f64 y 2) x) (fma.f64 y z t))
2.5b
(+.f64 (*.f64 (*.f64 (pow.f64 y 2) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (fma.f64 y z t))
Compiler

Compiled 1322 to 550 computations (58.4% saved)

regimes251.0ms (9.8%)

Accuracy

Total 0.0b remaining (63.8%)

Threshold costs 0.0b (63.8%)

Counts
47 → 1
Compiler

Compiled 4070 to 2392 computations (41.2% saved)

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
11214
21214

end0.0ms (0%)

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample936.0ms (36.5%)

Algorithm
intervals
Results
351.0ms8000×body128valid
158.0ms1907×body128invalid
Compiler

Compiled 118 to 70 computations (40.7% saved)

Profiling

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