Details

Time bar (total: 8.3s)

analyze382.0ms (4.6%)

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%74.9%25.1%6
6.2%68.6%25.1%7
9.4%65.5%25.1%8
14%35.9%50.1%9
21.1%28.9%50.1%10
24.6%25.4%50.1%11
28.7%21.3%50.1%12
33.4%16.5%50.1%13
35.8%14.1%50.1%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.2s (15%)

Results
1.1s8255×body128valid
4.0ms32×body128invalid
0.0msbody512valid
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify138.0ms (1.7%)

Algorithm
egg-herbie
Rules
782×fma-neg_binary64
610×unsub-neg_binary64
567×distribute-rgt-in_binary64
442×sub-neg_binary64
412×fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01118
12518
27516
325316
465416
5176716
6216716
7228416
8237516
9237416
10239116
11270116
12341716
13487716
14471316
15496716

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
(-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))
Compiler

Compiled 54 to 33 computations (38.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))
0.2b
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)

series127.0ms (1.5%)

Counts
2 → 60
Calls

2 calls:

83.0ms
(-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))
43.0ms
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)

rewrite11.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity_binary64
29×add-sqr-sqrt_binary64
24×prod-diff_binary64
19×add-cube-cbrt_binary64
14×associate--r+_binary64
Counts
2 → 65
Calls

2 calls:

6.0ms
(-.f64 y (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))
0.0ms
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)

simplify93.0ms (1.1%)

Algorithm
egg-herbie
Rules
667×fma-def_binary64
547×distribute-rgt-in_binary64
508×distribute-lft-in_binary64
456×fma-neg_binary64
232×exp-sum_binary64
Counts
125 → 125
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01712510
13732200
212561943
344721943
451111943

prune101.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1205125
Fresh000
Picked101
Done000
Total1215126
Error
0.0b
Counts
126 → 5
Alt Table
StatusErrorProgram
1.2b
(+.f64 y (*.f64 (neg.f64 (*.f64 (cbrt.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)) (cbrt.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x)))) (cbrt.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))
46.3b
(-.f64 y (-.f64 (log.f64 (*.f64 (exp.f64 z) (pow.f64 y (+.f64 1/2 y)))) x))
0.1b
(+.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) x)
28.3b
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))) (-.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) x))))
43.5b
(*.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)
Compiler

Compiled 3173 to 1606 computations (49.4% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))
0.2b
(fma.f64 (+.f64 y 1/2) (log.f64 y) z)

series35.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

35.0ms
(-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))

rewrite7.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
prod-diff_binary64
add-cube-cbrt_binary64
cancel-sign-sub-inv_binary64
Counts
1 → 31
Calls

1 calls:

3.0ms
(-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))

simplify104.0ms (1.3%)

Algorithm
egg-herbie
Rules
449×distribute-rgt-in_binary64
440×associate-*l*_binary64
433×distribute-lft-in_binary64
408×fma-def_binary64
379×associate-*r*_binary64
Counts
55 → 62
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041128
1226979
2723852
34560852
44987852
55000852
64863852

prune85.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New91394
Fresh314
Picked011
Done000
Total94599
Error
0.0b
Counts
99 → 5
Alt Table
StatusErrorProgram
30.2b
(+.f64 (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) x)
46.3b
(-.f64 y (-.f64 (log.f64 (*.f64 (exp.f64 z) (pow.f64 y (+.f64 1/2 y)))) x))
0.9b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
0.1b
(+.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) x)
19.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)
Compiler

Compiled 2160 to 1184 computations (45.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
0.5b
(cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
0.6b
(*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))

series425.0ms (5.1%)

Counts
4 → 96
Calls

4 calls:

284.0ms
(*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
56.0ms
(cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
48.0ms
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)
36.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))

rewrite24.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
30×pow1_binary64
25×add-sqr-sqrt_binary64
23×cbrt-prod_binary64
16×pow1/3_binary64
15×*-un-lft-identity_binary64
Counts
4 → 103
Calls

4 calls:

6.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
4.0ms
(*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
1.0ms
(cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
0.0ms
(fma.f64 (log.f64 y) (+.f64 1/2 y) z)

simplify297.0ms (3.6%)

Algorithm
egg-herbie
Rules
932×fma-def_binary64
388×*-commutative_binary64
219×+-commutative_binary64
168×associate-+r+_binary64
151×associate-*r*_binary64
Counts
199 → 206
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095416186
1346515388
2499215388
3495815388

prune842.0ms (10.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3304334
Fresh033
Picked011
Done011
Total3309339
Error
0.0b
Counts
339 → 9
Alt Table
StatusErrorProgram
0.9b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
30.6b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
30.2b
(+.f64 (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) x)
46.3b
(-.f64 y (-.f64 (log.f64 (*.f64 (exp.f64 z) (pow.f64 y (+.f64 1/2 y)))) x))
30.6b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))) x)
0.1b
(+.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) x)
1.1b
(+.f64 (-.f64 y (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
19.1b
(+.f64 (fma.f64 (log.f64 y) (-.f64 -1/2 y) y) x)
1.2b
(+.f64 (-.f64 y (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
Compiler

Compiled 36269 to 26474 computations (27% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))
0.5b
(cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))
0.5b
(cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))
0.5b
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))

series636.0ms (7.7%)

Counts
3 → 72
Calls

3 calls:

285.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))
281.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))
69.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))

rewrite29.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod_binary64
35×add-sqr-sqrt_binary64
24×pow1_binary64
17×*-un-lft-identity_binary64
17×add-cube-cbrt_binary64
Counts
3 → 99
Calls

3 calls:

10.0ms
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))
6.0ms
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))
1.0ms
(cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))

simplify278.0ms (3.3%)

Algorithm
egg-herbie
Rules
569×*-commutative_binary64
355×+-commutative_binary64
325×fma-def_binary64
287×associate-+r+_binary64
238×associate-*r*_binary64
Counts
171 → 237
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142127969
1521027969

prune2.1s (24.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New6671668
Fresh156
Picked011
Done022
Total6689677
Error
0.0b
Counts
677 → 9
Alt Table
StatusErrorProgram
0.9b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
30.6b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
30.2b
(+.f64 (*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (-.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) x)
46.3b
(-.f64 y (-.f64 (log.f64 (*.f64 (exp.f64 z) (pow.f64 y (+.f64 1/2 y)))) x))
30.6b
(+.f64 (-.f64 y (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (sqrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))) x)
0.1b
(+.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) x)
1.3b
(+.f64 (-.f64 y (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
1.1b
(+.f64 (-.f64 y (*.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
1.2b
(+.f64 (-.f64 y (*.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z))))) (cbrt.f64 (fma.f64 (log.f64 y) (+.f64 1/2 y) z)))) x)
Compiler

Compiled 97263 to 70060 computations (28% saved)

regimes1.1s (13.3%)

Accuracy

Total 0.1b remaining (64%)

Threshold costs 0.1b (64%)

Counts
121 → 1
Compiler

Compiled 22532 to 14063 computations (37.6% saved)

simplify3.0ms (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
01016
11416
21916
32116
42216
52216

end215.0ms (2.6%)

Compiler

Compiled 410 to 253 computations (38.3% saved)

Profiling

Loading profile data...