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)

sample2.0s (3.6%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 197 to 158 computations (19.8% saved)

simplify56.0ms (0.1%)

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

prune8.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

12.3b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	12.3b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	12.4b	(-.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

▶

12.3b

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

12.4b

(-.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 335 to 262 computations (21.8% saved)

localize26.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
✓	0.5b	(*.f64 3275911/10000000 (fabs.f64 x))
✓	0.7b	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
✓	12.3b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))

series373.0ms (0.7%)

Counts

4 → 36

Calls

4 calls:

295.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
57.0ms	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
18.0ms	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))
2.0ms	(*.f64 3275911/10000000 (fabs.f64 x))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64`
7×	`associate-r_binary64`

Counts

4 → 80

Calls

4 calls:

4.0ms	(*.f64 3275911/10000000 (fabs.f64 x))
3.0ms	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
3.0ms	(+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))
2.0ms	(+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))

simplify151.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary64`
356×	`associate-*l/_binary64`
300×	`associate-*r/_binary64`
217×	`cancel-sign-sub-inv_binary64`
212×	`fma-neg_binary64`

Counts

116 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	6399
1	486	4719
2	1624	4340
3	4380	4340
4	4852	4340

prune965.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	274	5	279
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	276	5	281

Error

12.3b

Counts

281 → 5

Alt Table

Status	Error	Program
	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
▶	12.3b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	13.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.0b	(log.f64 (exp.f64 (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))))
	12.3b	(+.f64 (fma.f64 1 1 (neg.f64 (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000)))))))))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))))))

Compiler

Compiled 21700 to 15951 computations (26.5% saved)

localize29.0ms (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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
✓	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)
✓	0.7b	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000)
✓	11.9b	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))

series30.2s (56%)

Counts

4 → 48

Calls

4 calls:

29.7s	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))
361.0ms	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)
60.0ms	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
16.0ms	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000)

rewrite115.0ms (0.2%)

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:

28.0ms	(-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))
23.0ms	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)
10.0ms	(+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
8.0ms	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000)

simplify1.0s (1.9%)

Algorithm

1×	egg-herbie

Counts

290 → 241

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5803	99271

prune3.9s (7.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	477	2	479
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	478	6	484

Error

11.5b

Counts

484 → 6

Alt Table

Status	Error	Program
	14.0b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (.f64 (.f64 (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))) (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))))) (cbrt.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.5b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	13.5b	(-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))
	13.0b	(log.f64 (exp.f64 (-.f64 1 (.f64 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))))))
	12.3b	(+.f64 (fma.f64 1 1 (neg.f64 (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000)))))))))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))))))
▶	11.6b	(/.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))

Compiler

Compiled 123488 to 89679 computations (27.4% saved)

localize35.0ms (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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1)))
	0.5b	(pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)
	0.7b	(-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000)
✓	11.7b	(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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))))

series5.3s (9.8%)

Counts

1 → 12

Calls

1 calls:

5.3s

(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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (*.f64 x x)))) 3))))

rewrite39.0ms (0.1%)

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:

30.0ms

(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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (*.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (*.f64 x x)))) 3))))

simplify278.0ms (0.5%)

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	5132	18010

prune4.9s (9.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	447	6	453
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	451	8	459

Error

11.5b

Counts

459 → 8

Alt Table

Status	Error	Program
	12.3b	(+.f64 (fma.f64 1 1 (neg.f64 (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000)))))))))))) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))) (.f64 (exp.f64 (neg.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 31853699/125000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -8890523/31250000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 1421413741/1000000000 (.f64 (/.f64 1 (+.f64 1 (.f64 3275911/10000000 (fabs.f64 x)))) (+.f64 -1453152027/1000000000 (.f64 (/.f64 1 (+.f64 1 (*.f64 3275911/10000000 (fabs.f64 x)))) 1061405429/1000000000))))))))))))
	11.6b	(/.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	15.0b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64)))) (-.f64 (log.f64 (cbrt.f64 (E.f64))) (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (*.f64 x x)))) 1))
	13.5b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	13.4b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (/.f64 (.f64 (cbrt.f64 1061405429/1000000000) (cbrt.f64 1061405429/1000000000)) (sqrt.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 (cbrt.f64 1061405429/1000000000) (sqrt.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) -1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (*.f64 x x)))) 1))
▶	11.6b	(/.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (.f64 (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	11.6b	(/.f64 (exp.f64 (log.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	11.6b	(/.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))))) (log.f64 (/.f64 (exp.f64 1) (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))

Compiler

Compiled 97950 to 71503 computations (27% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))
✓	1.0b	(*.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))
✓	1.0b	(cbrt.f64 1453152027/1000000000)
	11.7b	(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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))))

series0.0ms (0%)

Counts

3 → 0

Calls

3 calls:

0.0ms

(cbrt.f64 1453152027/1000000000)

0.0ms

(*.f64 (neg.f64 (*.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))

0.0ms

(*.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))

rewrite16.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
12×	`associate-r_binary64`

Counts

3 → 83

Calls

3 calls:

7.0ms

(*.f64 (neg.f64 (*.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))

5.0ms

(*.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))

1.0ms

(cbrt.f64 1453152027/1000000000)

simplify109.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

771×	`fma-neg_binary64`
376×	`distribute-rgt-neg-in_binary64`
363×	`associate-/l*_binary64`
349×	`div-sub_binary64`
345×	`log-prod_binary64`

Counts

83 → 109

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	783
1	149	777
2	421	765
3	1301	726
4	2285	636
5	3794	636
6	4840	636
7	5273	636

prune2.4s (4.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	195	3	198
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	199	7	206

Error

11.5b

Counts

206 → 7

Alt Table

Status	Error	Program
	13.4b	(/.f64 (log.f64 (/.f64 (exp.f64 1) (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (fma.f64 (/.f64 (.f64 (cbrt.f64 1061405429/1000000000) (cbrt.f64 1061405429/1000000000)) (sqrt.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (/.f64 (cbrt.f64 1061405429/1000000000) (sqrt.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1))) -1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (*.f64 x x)))) 1))
	15.0b	(/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64)))) (-.f64 (log.f64 (cbrt.f64 (E.f64))) (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (.f64 (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (*.f64 x x)))) 1))
✓	11.6b	(/.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (.f64 (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	11.6b	(/.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 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (.f64 (neg.f64 (pow.f64 (cbrt.f64 (cbrt.f64 1453152027/1000000000)) 8)) (cbrt.f64 (cbrt.f64 1453152027/1000000000)))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (*.f64 x x)))) 1))
	13.5b	(/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (fma.f64 (sqrt.f64 1421413741/1000000000) (sqrt.f64 1421413741/1000000000) (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
	11.6b	(/.f64 (+.f64 (log.f64 (/.f64 1 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3))))) (log.f64 (/.f64 (exp.f64 1) (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (.f64 (fma.f64 (fabs.f64 x) 3275911/10000000 1) (exp.f64 (.f64 x x)))) 3)))))) (fma.f64 (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (+.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (.f64 (neg.f64 (.f64 (cbrt.f64 1453152027/1000000000) (cbrt.f64 1453152027/1000000000))) (cbrt.f64 1453152027/1000000000))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (fma.f64 (pow.f64 (exp.f64 (.f64 x x)) -2) (/.f64 (+.f64 31853699/125000000 (/.f64 (+.f64 -8890523/31250000 (/.f64 (+.f64 1421413741/1000000000 (/.f64 (-.f64 (/.f64 1061405429/1000000000 (fma.f64 (fabs.f64 x) 3275911/10000000 1)) 1453152027/1000000000) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1))) (fma.f64 (fabs.f64 x) 3275911/10000000 1)) (exp.f64 (neg.f64 (.f64 x x)))) 1))
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Compiler

Compiled 52074 to 38478 computations (26.1% saved)

regimes1.3s (2.4%)

Accuracy

Total 0.0b remaining (0.3%)

Threshold costs 0.0b (0.3%)

Counts

68 → 1

Compiler

Compiled 47207 to 35578 computations (24.6% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	229
1	69	229
2	74	229
3	77	229
4	78	229
5	76	229

end724.0ms (1.3%)

Compiler: Compiled 1471 to 1100 computations (25.2% saved)

Details

analyze1.0ms (0%)

sample2.0s (3.6%)

simplify56.0ms (0.1%)

prune8.0ms (0%)

localize26.0ms (0%)

series373.0ms (0.7%)

rewrite16.0ms (0%)

simplify151.0ms (0.3%)

prune965.0ms (1.8%)

localize29.0ms (0.1%)

series30.2s (56%)

rewrite115.0ms (0.2%)

simplify1.0s (1.9%)

prune3.9s (7.2%)

localize35.0ms (0.1%)

series5.3s (9.8%)

rewrite39.0ms (0.1%)

simplify278.0ms (0.5%)

prune4.9s (9.1%)

localize55.0ms (0.1%)

series0.0ms (0%)

rewrite16.0ms (0%)

simplify109.0ms (0.2%)

prune2.4s (4.4%)

regimes1.3s (2.4%)

simplify7.0ms (0%)

end724.0ms (1.3%)

Profiling