Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 66 to 53 computations (19.7% saved)

sample2.4s (1.6%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 197 to 158 computations (19.8% saved)

simplify57.0ms (0%)

Algorithm

1×	egg-herbie

Rules

660×	`fma-neg_binary64`
578×	`times-frac_binary64`
564×	`cancel-sign-sub-inv_binary64`
389×	`fma-def_binary64`
380×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	93
1	91	69
2	270	69
3	825	69
4	2840	69
5	4839	69
6	5074	69

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

14.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.7b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

Status

Error

Program

▶

14.7b

(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))

Compiler

Compiled 205 to 158 computations (22.9% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.9b	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	14.6b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

series2.5s (1.7%)

Counts

4 → 48

Calls

4 calls:

2.3s	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
122.0ms	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
32.0ms	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))
29.0ms	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))

rewrite111.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64`
34×	`add-sqr-sqrt_binary64`
31×	`add-cube-cbrt_binary64`
25×	`times-frac_binary64`
24×	`prod-diff_binary64`

Counts

4 → 114

Calls

4 calls:

48.0ms	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
14.0ms	(+.f64 1421413741/1000000000 (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
7.0ms	(+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
4.0ms	(/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))

simplify531.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-/l*_binary64`
445×	`times-frac_binary64`
269×	`+-commutative_binary64`
252×	`fma-def_binary64`
247×	`associate-+r+_binary64`

Counts

162 → 167

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	997	18067
1	2996	15215
2	5257	15215

prune1.7s (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	163	4	167
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	4	168

Error

14.6b

Counts

168 → 4

Alt Table

Status	Error	Program
	16.1b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) 3)) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))
▶	14.6b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))
	17.1b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (.f64 (cbrt.f64 -1453152027/1000000000) (cbrt.f64 -1453152027/1000000000)) (cbrt.f64 -1453152027/1000000000) (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))))
	16.1b	(-.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (/.f64 (+.f64 -1453152027/1000000000 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))))

Compiler

Compiled 23334 to 16966 computations (27.3% saved)

localize50.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
✓	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
✓	0.9b	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000)
✓	14.1b	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))

series1.7min (69.5%)

Counts

4 → 48

Calls

4 calls:

1.7min	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))
1.2s	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
132.0ms	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
28.0ms	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000)

rewrite214.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

125×	`*-un-lft-identity_binary64`
110×	`add-sqr-sqrt_binary64`
105×	`prod-diff_binary64`
95×	`add-cube-cbrt_binary64`
77×	`times-frac_binary64`

Counts

4 → 242

Calls

4 calls:

58.0ms	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))
50.0ms	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
16.0ms	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
11.0ms	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000)

simplify1.9s (1.3%)

Algorithm

1×	egg-herbie

Counts

290 → 241

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5803	99271

prune6.7s (4.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	476	3	479
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	480	3	483

Error

13.7b

Counts

483 → 3

Alt Table

Status	Error	Program
▶	13.7b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))
	14.6b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))
	17.1b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (fma.f64 1 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))))) (fma.f64 (neg.f64 (cbrt.f64 1453152027/1000000000)) (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000)) (.f64 (cbrt.f64 1453152027/1000000000) (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x))))))))

Compiler

Compiled 123471 to 90241 computations (26.9% saved)

localize69.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
	0.9b	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000)
✓	14.0b	(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))))

series18.4s (12.2%)

Counts

1 → 12

Calls

1 calls:

18.4s

(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))))

rewrite61.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`log-prod_binary64`
11×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

1 → 28

Calls

1 calls:

53.0ms

(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (*.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x)))) 3))))

simplify526.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

456×	`fma-def_binary64`
451×	`associate-+r+_binary64`
346×	`associate-*r/_binary64`
280×	`associate-/l*_binary64`
258×	`associate-/r*_binary64`

Counts

40 → 59

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1803	18010
1	5131	18010

prune4.1s (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	451	2	453
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	453	3	456

Error

13.7b

Counts

456 → 3

Alt Table

Status	Error	Program
	14.6b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (sqrt.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1))) -1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))
▶	13.7b	(/.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))))) (cbrt.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))))) (cbrt.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))))) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))
	17.5b	(/.f64 (+.f64 (log.f64 (/.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64))) (.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))))) (log.f64 (/.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)))))) (+.f64 1 (.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) (+.f64 1 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (*.f64 x x))))))))

Compiler

Compiled 96921 to 71289 computations (26.4% saved)

localize88.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1)))
	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3)
	0.9b	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000)
	14.0b	(log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 3275911/10000000 (fabs.f64 x) 1)) 1453152027/1000000000) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (fma.f64 3275911/10000000 (fabs.f64 x) 1))) (.f64 (fma.f64 3275911/10000000 (fabs.f64 x) 1) (exp.f64 (.f64 x x)))) 3))))

prune6.4s (4.2%)

Compiler: Compiled 303816 to 224196 computations (26.2% saved)

Details

analyze1.0ms (0%)

sample2.4s (1.6%)

simplify57.0ms (0%)

prune6.0ms (0%)

localize19.0ms (0%)

series2.5s (1.7%)

rewrite111.0ms (0.1%)

simplify531.0ms (0.4%)

prune1.7s (1.1%)

localize50.0ms (0%)

series1.7min (69.5%)

rewrite214.0ms (0.1%)

simplify1.9s (1.3%)

prune6.7s (4.5%)

localize69.0ms (0%)

series18.4s (12.2%)

rewrite61.0ms (0%)

simplify526.0ms (0.4%)

prune4.1s (2.7%)

localize88.0ms (0.1%)

prune6.4s (4.2%)

Profiling