Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.5s (16.9%)

Results

1.5s

8256×

body

256

valid

preprocess66.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1190×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
549×	`times-frac_binary64`
431×	`distribute-rgt-out_binary64`
400×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	135	42
4	349	42
5	628	42
6	1060	42
7	2279	38
8	3243	36
9	4446	36
10	4793	36
11	5065	36
12	5113	36
13	6123	36
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Outputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))))
(/.f64 (fma.f64 (.f64 (/.f64 2 (+.f64 1 t)) t) (.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (.f64 (/.f64 2 (+.f64 1 t)) t) (.f64 (/.f64 2 (+.f64 1 t)) t) 2))
(/.f64 (+.f64 1 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (.f64 t 4) (+.f64 1 t))))))
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (.f64 t t) 2))
(/.f64 (fma.f64 t (.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (.f64 t 4) (.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (.f64 t 4) (.f64 (+.f64 1 t) (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 2))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1190×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
549×	`times-frac_binary64`
431×	`distribute-rgt-out_binary64`
400×	`associate-+l+_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	135	42
4	349	42
5	628	42
6	1060	42
7	2279	38
8	3243	36
9	4446	36
10	4793	36
11	5065	36
12	5113	36
13	6123	36

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Outputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))) (+.f64 2 (.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) (/.f64 2 (/.f64 (+.f64 1 t) t)))))
(/.f64 (fma.f64 (.f64 (/.f64 2 (+.f64 1 t)) t) (.f64 (/.f64 2 (+.f64 1 t)) t) 1) (fma.f64 (.f64 (/.f64 2 (+.f64 1 t)) t) (.f64 (/.f64 2 (+.f64 1 t)) t) 2))
(/.f64 (+.f64 1 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (.f64 t 4) (+.f64 1 t))))) (+.f64 2 (/.f64 t (/.f64 (+.f64 1 t) (/.f64 (.f64 t 4) (+.f64 1 t))))))
(/.f64 (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (.f64 t t) 1) (fma.f64 (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 t)) (.f64 t t) 2))
(/.f64 (fma.f64 t (.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 1) (fma.f64 t (.f64 (/.f64 t (+.f64 1 t)) (/.f64 4 (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (.f64 t 4) (.f64 (+.f64 1 t) (+.f64 1 t))) 1) (fma.f64 t (/.f64 (.f64 t 4) (.f64 (+.f64 1 t) (+.f64 1 t))) 2))
(/.f64 (fma.f64 t (/.f64 (.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 1) (fma.f64 t (/.f64 (.f64 t 4) (fma.f64 t (+.f64 2 t) 1)) 2))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

eval1.0ms (0%)

Compiler: Compiled 61 to 47 computations (23% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize40.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Compiler

Compiled 101 to 76 computations (24.8% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
1.0ms	t	@	inf	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0ms	t	@	-inf	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
0.0ms	t	@	-inf	(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0ms	t	@	0	(/.f64 (*.f64 2 t) (+.f64 1 t))

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`prod-diff_binary64`
559×	`log-prod_binary64`
373×	`fma-def_binary64`
216×	`log-div_binary64`
198×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	232	55
2	3445	55

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
(/.f64 (*.f64 2 t) (+.f64 1 t))
(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2))) (cbrt.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (.f64 1/2 (/.f64 (+.f64 t 1) t)) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (/.f64 (+.f64 t 1) t) (.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (.f64 (.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (.f64 (+.f64 t 1) (.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (/.f64 (pow.f64 (+.f64 t 1) 2) (+.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (.f64 1/2 (/.f64 (+.f64 t 1) t)) (.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (+.f64 t 1) 2) (.f64 4 (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 t 1) (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 t (+.f64 t 1))) (.f64 1/2 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 t t)) (pow.f64 (+.f64 t 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t -2) (.f64 (.f64 1/2 (/.f64 (+.f64 t 1) t)) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t -2) (.f64 t -2)) (.f64 (+.f64 (neg.f64 t) -1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 (.f64 t t))) (neg.f64 (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 t t) 2) (.f64 (+.f64 t 1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t -2) 2) (.f64 (+.f64 (neg.f64 t) -1) (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 t t)) (.f64 (/.f64 (+.f64 t 1) t) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t -2) (+.f64 t t)) (.f64 (+.f64 (neg.f64 t) -1) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t -2) 1) (.f64 (+.f64 (neg.f64 t) -1) (.f64 1/2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 t -2)) (.f64 (/.f64 (+.f64 t 1) t) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 t t) (.f64 t -2)) (.f64 (+.f64 t 1) (+.f64 (neg.f64 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) 1) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (cbrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (sqrt.f64 (+.f64 t 1))) (sqrt.f64 (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (/.f64 t (+.f64 t 1)))) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t -2) (.f64 2 (/.f64 t (+.f64 t 1)))) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2) (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (/.f64 t (+.f64 t 1))) (.f64 t -2)) (+.f64 (neg.f64 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log1p.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 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2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) (cbrt.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) (.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) (.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) (.f64 (sqrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) (.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (/.f64 1 (+.f64 t 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 2 (/.f64 t (+.f64 t 1))) (sqrt.f64 (.f64 2 (/.f64 t (+.f64 t 1))))) (sqrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) 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(+.f64 t 1)) (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (-.f64 1 (.f64 t t))) (-.f64 1 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 2 (/.f64 t (+.f64 t 1))) (pow.f64 (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2)) (cbrt.f64 (.f64 2 (/.f64 t (+.f64 t 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (.f64 2 (/.f64 t (+.f64 t 1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) 1))))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

765×	`times-frac_binary64`
725×	`fma-neg_binary64`
503×	`distribute-lft-out_binary64`
442×	`cancel-sign-sub-inv_binary64`
395×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	624
1	218	620
2	578	605
3	1712	598
4	4212	583

Stop Event

1×	node limit

Counts

255 → 264

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(*.f64 2 t)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))

Outputs
(*.f64 4 (pow.f64 t 2))
(.f64 4 (.f64 t t))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t)))
(fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 5) (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 4 (.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))) 1)
(+.f64 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t))
(+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 5 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 5 (/.f64 (/.f64 12 t) t)) (/.f64 -8 t))
(+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 5 (/.f64 (/.f64 12 t) t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(*.f64 2 t)
(*.f64 t 2)
(+.f64 (.f64 2 t) (.f64 -2 (pow.f64 t 2)))
(fma.f64 2 t (.f64 (.f64 t t) -2))
(fma.f64 t 2 (.f64 t (.f64 t -2)))
(.f64 t (+.f64 (.f64 t -2) 2))
(.f64 t (+.f64 2 (.f64 t -2)))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 3))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (.f64 2 (pow.f64 t 3))))
(fma.f64 t 2 (fma.f64 2 (pow.f64 t 3) (.f64 t (.f64 t -2))))
(fma.f64 2 (pow.f64 t 3) (.f64 t (+.f64 (.f64 t -2) 2)))
(.f64 t (+.f64 2 (.f64 t (+.f64 (*.f64 t 2) -2))))
(.f64 t (+.f64 (.f64 t (+.f64 (*.f64 t 2) -2)) 2))
(+.f64 (.f64 2 t) (+.f64 (.f64 -2 (pow.f64 t 2)) (+.f64 (.f64 -2 (pow.f64 t 4)) (.f64 2 (pow.f64 t 3)))))
(fma.f64 2 t (fma.f64 -2 (.f64 t t) (fma.f64 -2 (pow.f64 t 4) (.f64 2 (pow.f64 t 3)))))
(fma.f64 t 2 (fma.f64 (.f64 t t) -2 (fma.f64 2 (pow.f64 t 3) (.f64 (pow.f64 t 4) -2))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(.f64 (+.f64 (.f64 t t) 1) (.f64 t (+.f64 2 (.f64 t -2))))
(.f64 (+.f64 t (pow.f64 t 3)) (+.f64 2 (.f64 t -2)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 -2 t))
(-.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 2 t) 2))
(-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) -2))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (/.f64 2 (pow.f64 t 3)))) (/.f64 -2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(-.f64 2 (*.f64 2 (/.f64 1 t)))
(-.f64 2 (/.f64 2 t))
(+.f64 2 (/.f64 -2 t))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 2 (/.f64 1 t)))
(+.f64 2 (-.f64 (/.f64 2 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (/.f64 -2 t))
(-.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 2 t) 2))
(-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 2 t) -2))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -2 t)))
(-.f64 (+.f64 2 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 t 3))) (*.f64 2 (/.f64 1 t))))
(-.f64 (+.f64 2 (/.f64 2 (*.f64 t t))) (+.f64 (/.f64 2 t) (/.f64 2 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 2 (/.f64 2 (pow.f64 t 3)))) (/.f64 -2 t))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -2 t) (/.f64 -2 (pow.f64 t 3)))))
(+.f64 2 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -2 t) (/.f64 2 (pow.f64 t 3)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 2)
(fma.f64 t (*.f64 4 t) 2)
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 2 (fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 t (*.f64 4 t) 2))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 2))
(+.f64 2 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 2 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 2 (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12))))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 8 t) 6))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 8 t) 6))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))

eval452.0ms (4.9%)

Compiler: Compiled 19967 to 15395 computations (22.9% saved)

prune105.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	517	10	527
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	518	10	528

Error

Counts

528 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
▶	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
▶	32.4b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
	30.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
	28.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)
▶	32.4b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
	29.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
▶	26.1b	(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	29.9b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (.f64 2 t) (/.f64 (.f64 2 t) (+.f64 1 t)))))
	33.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (+.f64 2 (/.f64 -2 t)))))

Compiler

Compiled 552 to 432 computations (21.7% saved)

localize64.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
	0.0b	(/.f64 (+.f64 t 1) t)
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
✓	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))

Compiler

Compiled 130 to 94 computations (27.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
1.0ms	t	@	0	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))
0.0ms	t	@	inf	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
0.0ms	t	@	-inf	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
0.0ms	t	@	inf	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

473×	`log-prod_binary64`
340×	`prod-diff_binary64`
331×	`pow-prod-down_binary64`
328×	`fma-def_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	212	37
2	3118	37

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))
(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))

Outputs
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Outputs

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pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 t 1) t))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 t 1) t))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4) (*.f64 -4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))) (fma.f64 64 (pow.f64 (/.f64 (+.f64 t 1) t) -6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (*.f64 -4 (pow.f64 (/.f64 (+.f64 t 1) t) -2))) (-.f64 1 (/.f64 16 (pow.f64 (/.f64 t (+.f64 t 1)) -4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 t 1) t))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 t 1) t))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2))) (cbrt.f64 (/.f64 16 (pow.f64 (/.f64 t (+.f64 t 1)) -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16 (pow.f64 (/.f64 t (+.f64 t 1)) -4))) (cbrt.f64 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (/.f64 2 (/.f64 (+.f64 t 1) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (neg.f64 (pow.f64 (/.f64 t (+.f64 t 1)) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 4 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) (*.f64 t t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (/.f64 (pow.f64 (+.f64 t 1) 2) t)) t 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) 1) (/.f64 t (+.f64 t 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (+.f64 t 1)) t 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (fma.f64 -1 t -1)) (neg.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 4 (pow.f64 (/.f64 t (+.f64 t 1)) -2))) 1))))))

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

755×	`distribute-neg-frac_binary64`
564×	`fma-def_binary64`
541×	`associate-/r*_binary64`
336×	`times-frac_binary64`
261×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	450
1	141	448
2	342	442
3	945	429
4	2602	429
5	6588	429

Stop Event

1×	node limit

Counts

170 → 171

Calls

Call 1

Inputs
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(/.f64 1 (pow.f64 t 2))
(+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
1
(+.f64 1 (*.f64 2 (/.f64 1 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
1
(+.f64 1 (*.f64 2 (/.f64 1 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))

Outputs
(*.f64 4 (pow.f64 t 2))
(.f64 4 (.f64 t t))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t)))
(fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 t (.f64 t (fma.f64 t -8 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 12 (pow.f64 t 4)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (fma.f64 -16 (pow.f64 t 5) (.f64 12 (pow.f64 t 4))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) (.f64 -16 (pow.f64 t 5))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 16 (pow.f64 t 3)) (+.f64 (/.f64 8 t) -4)))
(+.f64 4 (+.f64 (/.f64 -8 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 (/.f64 -16 t) 12))))
(+.f64 4 (+.f64 (/.f64 -8 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 12 (/.f64 -16 t)))))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 4 (/.f64 8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 16 (pow.f64 t 3)) (+.f64 (/.f64 8 t) -4)))
(+.f64 4 (+.f64 (/.f64 -8 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 (/.f64 -16 t) 12))))
(+.f64 4 (+.f64 (/.f64 -8 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 12 (/.f64 -16 t)))))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t)))
(+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
1
(+.f64 1 (*.f64 2 (/.f64 1 t)))
(+.f64 1 (/.f64 2 t))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
1
(+.f64 1 (*.f64 2 (/.f64 1 t)))
(+.f64 1 (/.f64 2 t))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 t 2)) (*.f64 2 (/.f64 1 t))))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
(+.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 (*.f64 t t))))
(+.f64 (/.f64 1 (*.f64 t t)) (+.f64 1 (/.f64 2 t)))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 4 (.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))) 1)
(+.f64 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) 1)
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 1))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) 1))
(fma.f64 (*.f64 t t) (fma.f64 t -8 4) (fma.f64 12 (pow.f64 t 4) 1))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (/.f64 8 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (-.f64 5 (/.f64 8 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 (/.f64 -16 t) 12)))
(+.f64 (-.f64 5 (/.f64 8 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 12 (/.f64 -16 t))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (/.f64 8 t)))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (+.f64 (/.f64 -8 t) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3)))))
(+.f64 (-.f64 5 (/.f64 8 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 (/.f64 -16 t) 12)))
(+.f64 (-.f64 5 (/.f64 8 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 12 (/.f64 -16 t))))

localize26.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Compiler

Compiled 68 to 51 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

0.0ms

inf

(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

0.0ms

-inf

(/.f64 1 (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
343×	`pow-prod-down_binary64`
284×	`pow2_binary64`
229×	`fma-def_binary64`
211×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	231	19
2	3348	19

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2) (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 8 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 6))) (fma.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) (-.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 4 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 4))) (-.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))) -3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 2 (/.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) 2))))) 1))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

552×	`associate-/r*_binary64`
411×	`fma-def_binary64`
346×	`times-frac_binary64`
212×	`distribute-rgt-neg-in_binary64`
210×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	147
1	92	140
2	235	139
3	754	135
4	2822	135
5	7495	135

Stop Event

1×	node limit

Counts

45 → 47

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (.f64 2 (pow.f64 t 3))))
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))

Outputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(fma.f64 -1 (*.f64 t t) 1/2)
(-.f64 1/2 (*.f64 t t))
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 -1 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 3)))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t))
(fma.f64 2 (pow.f64 t 3) (-.f64 1/2 (*.f64 t t)))
(fma.f64 t (*.f64 t (fma.f64 t 2 -1)) 1/2)
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 3) (neg.f64 (pow.f64 t 4))))
(-.f64 (-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (pow.f64 t 4)) (*.f64 t t))
(+.f64 (.f64 (pow.f64 t 3) (-.f64 2 t)) (-.f64 1/2 (.f64 t t)))
(-.f64 (fma.f64 (pow.f64 t 3) (-.f64 2 t) 1/2) (*.f64 t t))
(fma.f64 (pow.f64 t 3) (-.f64 2 t) (-.f64 1/2 (*.f64 t t)))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 -1/27 (*.f64 t t)) (-.f64 (/.f64 2/9 t) (/.f64 4/81 (pow.f64 t 3)))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 -1/27 (/.f64 4/81 t)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
(+.f64 1/6 (-.f64 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 1/6 (+.f64 (/.f64 -1/27 (*.f64 t t)) (-.f64 (/.f64 2/9 t) (/.f64 4/81 (pow.f64 t 3)))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (*.f64 (/.f64 (/.f64 1 t) t) (-.f64 -1/27 (/.f64 4/81 t)))))

localize31.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 6 (/.f64 -8 t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

Compiler

Compiled 82 to 62 computations (24.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

0.0ms

inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

0.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
369×	`fma-def_binary64`
319×	`log-div_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	327	25
2	4713	25

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))) 2) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (/.f64 1 (neg.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) 1) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 216 (pow.f64 (/.f64 -8 t) 3))) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (-.f64 36 (/.f64 64 (*.f64 t t)))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (neg.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))) 1))))))

simplify40.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
756×	`distribute-neg-frac_binary64`
514×	`associate-/r*_binary64`
363×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	156
1	95	156
2	234	153
3	647	145
4	2120	145
5	5942	145

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

Inputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))

Outputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(fma.f64 -3/32 (.f64 t t) (.f64 -1/8 t))
(fma.f64 -1/8 t (.f64 -3/32 (.f64 t t)))
(.f64 t (+.f64 (.f64 t -3/32) -1/8))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -1/8 t (.f64 (.f64 t t) (+.f64 -3/32 (*.f64 t -73/128))))
(.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -1/8 t (.f64 (.f64 t t) (+.f64 -3/32 (*.f64 t -73/128)))))
(fma.f64 t (fma.f64 t -3/32 -1/8) (.f64 (pow.f64 t 3) (+.f64 -73/128 (.f64 t 293/512))))
(fma.f64 293/512 (pow.f64 t 4) (.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(-.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (/.f64 2/9 t))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)) (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 46/27 (*.f64 t t))) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 (/.f64 46/27 t) t) (/.f64 -2/9 t)) (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(-.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (/.f64 2/9 t))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 (/.f64 46/27 t) t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)) (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 46/27 (*.f64 t t))) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 (/.f64 46/27 t) t) (/.f64 -2/9 t)) (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))))

localize34.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))

Compiler

Compiled 91 to 70 computations (23.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
0.0ms	t	@	inf	(+.f64 2 (+.f64 4 (/.f64 -8 t)))
0.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

452×	`fma-def_binary64`
357×	`log-div_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
243×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	357	32
2	5245	32

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 4 (/.f64 -8 t))))
(+.f64 2 (+.f64 4 (/.f64 -8 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 2 (/.f64 (+.f64 1 t) t)) 2)) (+.f64 (/.f64 -8 t) 6))) 2) (cbrt.f64 (/.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -8 t) 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 -2 (/.f64 -8 t))) (/.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2) (-.f64 -2 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -8 t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -8 t) 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2) (cbrt.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (sqrt.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 8 (pow.f64 (+.f64 4 (/.f64 -8 t)) 3)) (/.f64 1 (fma.f64 (+.f64 4 (/.f64 -8 t)) (-.f64 (+.f64 4 (/.f64 -8 t)) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -8 t)) 2) (cbrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 64 (/.f64 -512 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 4) 16)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -8 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 16 (pow.f64 (/.f64 -8 t) 2)) (/.f64 1 (-.f64 4 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -8 t) 6)) 1))))))

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
761×	`distribute-neg-frac_binary64`
533×	`associate-/r*_binary64`
369×	`fma-def_binary64`
340×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	225
1	109	225
2	257	222
3	685	214
4	2181	214
5	6093	214

Stop Event

1×	node limit

Counts

105 → 99

Calls

Call 1

Inputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))

Outputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(fma.f64 -3/32 (.f64 t t) (.f64 -1/8 t))
(.f64 t (+.f64 (.f64 t -3/32) -1/8))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 (.f64 t -3/32) -1/8)))
(.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 (.f64 t -3/32) -1/8))))
(fma.f64 t (fma.f64 t -3/32 -1/8) (.f64 (pow.f64 t 3) (+.f64 -73/128 (.f64 t 293/512))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 46/27 t) t) (/.f64 -2/9 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 46/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 46/27 t) t) (/.f64 -2/9 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)) (/.f64 -32/81 (pow.f64 t 3))))
(+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 46/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))

localize44.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(/.f64 (/.f64 12 t) t)
✓	0.3b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))

Compiler

Compiled 110 to 81 computations (26.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
1.0ms	t	@	0	(/.f64 (/.f64 12 t) t)
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
0.0ms	t	@	inf	(/.f64 (/.f64 12 t) t)

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`fma-neg_binary64`
366×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
216×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	430	57
2	6448	57

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))

(/.f64 (/.f64 12 t) t)

(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))

Outputs

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t (+.f64 1 t))) 2)) (sqrt.f64 (+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) 2) (sqrt.f64 (+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (sqrt.f64 (+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) 3) (/.f64 -512 (pow.f64 t 3)))) (+.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) 2) (*.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (-.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) 2) (/.f64 64 (*.f64 t t)))) (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 6 (/.f64 -8 t))))))) 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simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/r*_binary64`
404×	`fma-def_binary64`
354×	`times-frac_binary64`
294×	`distribute-lft-out_binary64`
293×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	384
1	127	384
2	295	381
3	790	375
4	2351	375
5	6450	375

Stop Event

1×	node limit

Counts

162 → 150

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(-.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))

Outputs
(*.f64 1/12 (pow.f64 t 2))
(.f64 1/12 (.f64 t t))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (.f64 1/12 (.f64 t t)))
(.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(.f64 t (.f64 t (fma.f64 t 1/18 1/12)))
(.f64 (.f64 t t) (fma.f64 t 1/18 1/12))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4))))
(fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (.f64 71/216 (pow.f64 t 4)))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (.f64 -77/162 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 2/9 t))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 -2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -176/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 2/9 t))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 -2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -176/81 (pow.f64 t 3))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(-.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))

eval1.2s (13%)

Compiler: Compiled 35915 to 28133 computations (21.7% saved)

prune216.0ms (2.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	1315	9	1324
Fresh	5	0	5
Picked	1	0	1
Done	4	0	4
Total	1325	9	1334

Error

Counts

1334 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
	30.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
▶	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
▶	27.3b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
	30.4b	(/.f64 (+.f64 1 (+.f64 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.f64 -8 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
	27.4b	5/6
	25.2b	1/2
▶	29.8b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 284 to 218 computations (23.2% saved)

localize51.0ms (0.6%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
	0.0b	(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
	0.0b	(/.f64 (+.f64 t 1) t)
	0.0b	(+.f64 2 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
✓	0.0b	(/.f64 (+.f64 t 1) t)
	0.0b	(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))

Compiler

Compiled 98 to 70 computations (28.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	t	@	-inf	(/.f64 (+.f64 t 1) t)
1.0ms	t	@	0	(/.f64 (+.f64 t 1) t)
1.0ms	t	@	inf	(/.f64 (+.f64 t 1) t)

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
566×	`log1p-expm1-u_binary64`
566×	`expm1-log1p-u_binary64`
565×	`add-log-exp_binary64`
554×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(/.f64 (+.f64 t 1) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (+.f64 t 1) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 t 1) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 t 1) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 t 1) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 t 1) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 t 1) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 t 1) t)) 2) (cbrt.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2) (*.f64 (cbrt.f64 (+.f64 t 1)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 t 1) t)) (sqrt.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 t 1)) (*.f64 (sqrt.f64 (+.f64 t 1)) (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 t) -1) (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) (+.f64 t 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 t 1)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 t 1)) 1) (/.f64 (sqrt.f64 (+.f64 t 1)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 t) 2)) (/.f64 (+.f64 t 1) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 t 1)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 t 1)) (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 t)) (/.f64 (+.f64 t 1) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 t 1)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 t 1)) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 t 1) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 t 1) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 t 1) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 t 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 t 1) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 t) (log.f64 t)))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	69
1	8	69

Stop Event

1×

saturated

Counts

42 → 33

Calls

Call 1

Inputs
(/.f64 1 t)
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))

Outputs
(/.f64 1 t)
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
1
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))
(+.f64 1 (/.f64 1 t))

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -2/9 t)
	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
✓	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
✓	0.3b	(/.f64 -2/9 t)

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 -2/9 t)
0.0ms	t	@	inf	(/.f64 -2/9 t)
0.0ms	t	@	-inf	(/.f64 -2/9 t)
0.0ms	t	@	0	(+.f64 5/6 (/.f64 -2/9 t))
0.0ms	t	@	inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

708×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
663×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	139	11
2	1758	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(+.f64 5/6 (/.f64 -2/9 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2/9 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t -9/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/81 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2/9 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2/9 t)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 -2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 25/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -5/27 t))) (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 25/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`fma-def_binary64`
11×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	69
1	20	69
2	31	69
3	47	69
4	62	69
5	80	69
6	98	69
7	113	69
8	120	69

Stop Event

1×

saturated

Counts

63 → 55

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.0b	(+.f64 6 (/.f64 -8 t))
	0.0b	(+.f64 5 (/.f64 -8 t))
	0.0b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
✓	0.0b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
✓	0.0b	(+.f64 5 (/.f64 -8 t))
✓	0.0b	(+.f64 6 (/.f64 -8 t))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	0	(+.f64 6 (/.f64 -8 t))
0.0ms	t	@	-inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
0.0ms	t	@	0	(+.f64 5 (/.f64 -8 t))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`unpow-prod-down_binary64`
453×	`log-prod_binary64`
274×	`pow2_binary64`
250×	`pow-prod-down_binary64`
193×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	215	30
2	2919	30

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(+.f64 6 (/.f64 -8 t))
(+.f64 5 (/.f64 -8 t))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 6 (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36 (-.f64 6 (/.f64 -8 t))) (/.f64 (/.f64 64 (*.f64 t t)) (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 6 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2)) (cbrt.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) (sqrt.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 t -3) 216) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -512 (pow.f64 t -3) 216) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (/.f64 1 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (pow.f64 (/.f64 1 (-.f64 6 (/.f64 -8 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 6 (/.f64 -8 t)) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) 2) 3) (cbrt.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36) (fma.f64 -512 (pow.f64 t -3) 216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6 (/.f64 -8 t)) (-.f64 36 (/.f64 64 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 t -3) 216) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -512 (pow.f64 t -3) 216) (+.f64 (/.f64 64 (*.f64 t t)) (-.f64 36 (/.f64 -48 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 36 (/.f64 64 (*.f64 t t))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -512 (pow.f64 t -3) 216)) (neg.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 36 (/.f64 64 (*.f64 t t)))) (neg.f64 (-.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 64 (*.f64 t t)) 36) (-.f64 (/.f64 -8 t) 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 6 (/.f64 -8 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 6 (/.f64 -8 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36) (fma.f64 -512 (pow.f64 t -3) 216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 6 (/.f64 -8 t)) (-.f64 36 (/.f64 64 (*.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 6 (/.f64 -8 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -8 t) 1 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 t) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -8 t)) (cbrt.f64 (/.f64 64 (*.f64 t t))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 64 (*.f64 t t))) (cbrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8 (/.f64 1 (neg.f64 t)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -8 6)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 6 (/.f64 -8 t))) 1))))))

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(cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 5)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 5)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 -8 t) 5) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 -8 t) 5) (+.f64 6 (/.f64 -8 t)))) 1))))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
522×	`associate-l_binary64`
507×	`associate-/r*_binary64`
333×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	42	275
1	111	273
2	262	273
3	705	267
4	1990	264
5	6845	264

Stop Event

1×	node limit

Counts

202 → 187

Calls

Call 1

Inputs
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(/.f64 -8 t)
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
1
(+.f64 (*.f64 1/8 t) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))

Outputs
(/.f64 -8 t)
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(/.f64 -8 t)
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
1
(+.f64 (*.f64 1/8 t) 1)
(fma.f64 1/8 t 1)
(fma.f64 t 1/8 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) 1))
(fma.f64 1/8 t (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) 1))
(fma.f64 t (fma.f64 t 3/32 1/8) 1)
(+.f64 (.f64 1/8 t) (+.f64 (.f64 3/32 (pow.f64 t 2)) (+.f64 1 (*.f64 9/128 (pow.f64 t 3)))))
(fma.f64 1/8 t (+.f64 (fma.f64 3/32 (.f64 t t) 1) (.f64 9/128 (pow.f64 t 3))))
(fma.f64 t 1/8 (fma.f64 3/32 (*.f64 t t) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t 1/8 (fma.f64 t (*.f64 t 3/32) (fma.f64 9/128 (pow.f64 t 3) 1)))
(fma.f64 t 1/8 (fma.f64 t (*.f64 t (fma.f64 t 9/128 3/32)) 1))
(fma.f64 t (fma.f64 t (fma.f64 t 9/128 3/32) 1/8) 1)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 8/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -8/27 (*.f64 t t))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))) (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (/.f64 -8/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 32/81 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (+.f64 (.f64 2/9 (/.f64 1 t)) (.f64 8/27 (/.f64 1 (pow.f64 t 2)))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 8/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))))
(+.f64 (/.f64 -2/9 t) (+.f64 5/6 (/.f64 -8/27 (*.f64 t t))))
(-.f64 5/6 (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/27 (/.f64 1 (pow.f64 t 2))))))
(-.f64 (-.f64 5/6 (/.f64 32/81 (pow.f64 t 3))) (+.f64 (/.f64 2/9 t) (/.f64 8/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (*.f64 t t))) (/.f64 32/81 (pow.f64 t 3))))
(+.f64 (/.f64 -8/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 32/81 (pow.f64 t 3))))

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(/.f64 1/27 (*.f64 t t))
	0.3b	(/.f64 -2/9 t)
	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
	0.0b	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
✓	0.0b	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
	0.3b	(/.f64 -2/9 t)
✓	0.5b	(/.f64 1/27 (*.f64 t t))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 1/27 (*.f64 t t))
1.0ms	t	@	inf	(/.f64 1/27 (*.f64 t t))
0.0ms	t	@	inf	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
0.0ms	t	@	0	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
0.0ms	t	@	-inf	(/.f64 1/27 (*.f64 t t))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`prod-diff_binary64`
482×	`log-prod_binary64`
366×	`fma-def_binary64`
222×	`log-div_binary64`
210×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	241	21
2	3436	21

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

Inputs
(/.f64 1/27 (*.f64 t t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Outputs

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egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (fma.f64 1/27 (pow.f64 t -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) (fma.f64 1/27 (pow.f64 t -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 (fma.f64 1/27 (pow.f64 t -2) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (+.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6) 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6))) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) 5/6)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) (fma.f64 1/27 (pow.f64 t -2) 5/6))) 1))))))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

770×	`distribute-neg-frac_binary64`
461×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
391×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	216
1	46	216
2	79	216
3	142	216
4	292	216
5	800	216
6	3566	204
7	6902	204

Stop Event

1×	node limit

Counts

137 → 123

Calls

Call 1

Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 5/6 (.f64 1/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)

localize33.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))))
	0.0b	(/.f64 (+.f64 t 1) t)
✓	0.0b	(.f64 4 (.f64 t t))
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))
✓	0.5b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 90 to 59 computations (34.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	inf	(.f64 4 (.f64 t t))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
0.0ms	t	@	0	(.f64 4 (.f64 t t))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`prod-diff_binary64`
489×	`fma-def_binary64`
336×	`log-div_binary64`
271×	`log1p-udef_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	327	31
2	4794	31

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(.f64 4 (.f64 t t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (*.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) 1) (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) 2)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 (pow.f64 (*.f64 t t) 3) 64 8)) (fma.f64 (pow.f64 (*.f64 t 2) 2) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (/.f64 2 (/.f64 (+.f64 1 t) t))) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) 3) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (pow.f64 (/.f64 (+.f64 1 t) t) -2) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 t 2) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (*.f64 t 2) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 t 2) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 t 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 t 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 t 2) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 t 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 t 2))) 1))))))

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
418×	`distribute-rgt-neg-in_binary64`
365×	`associate-/l/_binary64`
344×	`fma-def_binary64`
313×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	291
1	104	289
2	260	285
3	704	285
4	2319	285
5	6949	285

Stop Event

1×	node limit

Counts

72 → 65

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(/.f64 5/4 (pow.f64 t 2))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -4 (pow.f64 t 3))))
(fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 (fma.f64 4 (pow.f64 t 4) (*.f64 -4 (pow.f64 t 3))) (fma.f64 t t 1/2))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 4 (pow.f64 t 4) 1/2))
(fma.f64 t t (fma.f64 -4 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 19/8 (pow.f64 t 4))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 3 (pow.f64 t 5))) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(/.f64 5/4 (pow.f64 t 2))
(/.f64 5/4 (*.f64 t t))
(-.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3)))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (*.f64 2 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 19/8 (pow.f64 t 4))))
(+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 -2 (pow.f64 t 3))))
(-.f64 (+.f64 (.f64 5/4 (/.f64 1 (pow.f64 t 2))) (.f64 19/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 t 5))) (.f64 2 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (-.f64 (+.f64 (/.f64 5/4 (*.f64 t t)) (/.f64 19/8 (pow.f64 t 4))) (/.f64 3 (pow.f64 t 5))) (/.f64 2 (pow.f64 t 3)))
(+.f64 (/.f64 5/4 (*.f64 t t)) (-.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 2 (pow.f64 t 3)) (/.f64 3 (pow.f64 t 5)))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (+.f64 (/.f64 19/8 (pow.f64 t 4)) (/.f64 -2 (pow.f64 t 3))) (/.f64 -3 (pow.f64 t 5))))
(+.f64 (/.f64 5/4 (*.f64 t t)) (+.f64 (/.f64 19/8 (pow.f64 t 4)) (+.f64 (/.f64 -2 (pow.f64 t 3)) (/.f64 -3 (pow.f64 t 5)))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))

eval602.0ms (6.6%)

Compiler: Compiled 24975 to 19380 computations (22.4% saved)

prune293.0ms (3.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	1004	8	1012
Fresh	3	1	4
Picked	1	0	1
Done	1	3	4
Total	1009	12	1021

Error

Counts

1021 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
	30.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	33.0b	(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
✓	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
▶	33.0b	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
	27.4b	5/6
	29.8b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))
▶	32.5b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	25.2b	1/2
▶	28.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
▶	29.9b	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 326 to 248 computations (23.9% saved)

localize14.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	16.0b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(+.f64 1 (.f64 4 (.f64 t t)))
✓	0.0b	(+.f64 1 (.f64 4 (.f64 t t)))
	0.0b	(.f64 4 (.f64 t t))
✓	16.0b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 42 to 24 computations (42.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
0.0ms	t	@	inf	(+.f64 1 (.f64 4 (.f64 t t)))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
0.0ms	t	@	0	(+.f64 1 (.f64 4 (.f64 t t)))

rewrite102.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
474×	`log-prod_binary64`
386×	`fma-def_binary64`
282×	`pow-prod-down_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	218	26
2	2858	26

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 1 (.f64 4 (.f64 t t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (*.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (*.f64 (hypot.f64 1 (*.f64 t 2)) (/.f64 1 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 4 (*.f64 t t) 1)) (/.f64 1 (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 4 (*.f64 t t) 2)) (fma.f64 4 (*.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) 1) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) 1) (/.f64 (hypot.f64 1 (*.f64 t 2)) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 2)) -2) (/.f64 (fma.f64 4 (*.f64 t t) 1) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) 2))) (/.f64 (hypot.f64 1 (*.f64 t 2)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 4 (*.f64 t t) 2) -1/2) (/.f64 (fma.f64 4 (*.f64 t t) 1) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) (/.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 (pow.f64 t 6) 64 8)) (fma.f64 (pow.f64 (*.f64 t 2) 2) (fma.f64 4 (*.f64 t t) -2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (-.f64 4 (*.f64 (pow.f64 t 4) 16))) (-.f64 2 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (neg.f64 (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) (pow.f64 (fma.f64 4 (*.f64 t t) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (fma.f64 4 (*.f64 t t) 1) (fma.f64 4 (*.f64 t t) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 1 (*.f64 t 2)) (sqrt.f64 (fma.f64 4 (*.f64 t t) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 4 (*.f64 t t) 2) (fma.f64 4 (*.f64 t t) 1))) -1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (*.f64 t t) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (pow.f64 (*.f64 t 2) 2))) (/.f64 (*.f64 (pow.f64 t 4) 16) (-.f64 1 (pow.f64 (*.f64 t 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (*.f64 t t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (*.f64 t t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4)) (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 t 2)) (hypot.f64 1 (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 t 6) 64 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 t 4) 16 (*.f64 -4 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 t 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (fma.f64 (pow.f64 t 4) 16 (*.f64 -4 (*.f64 t t)))) (fma.f64 (pow.f64 t 6) 64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (pow.f64 (*.f64 t 2) 2)) (-.f64 1 (*.f64 (pow.f64 t 4) 16))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 t 6) 64 1) (+.f64 1 (fma.f64 (pow.f64 t 4) 16 (*.f64 -4 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 t 6) 64 1) (fma.f64 (pow.f64 t 4) 16 (-.f64 1 (pow.f64 (*.f64 t 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16)) (-.f64 1 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 t 6) 64 1)) (neg.f64 (+.f64 1 (fma.f64 (pow.f64 t 4) 16 (*.f64 -4 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 (pow.f64 t 4) 16))) (neg.f64 (-.f64 1 (pow.f64 (*.f64 t 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 t 4) 16 -1) (fma.f64 4 (*.f64 t t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (*.f64 t t) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (*.f64 t t) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 1 (*.f64 t 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (fma.f64 (pow.f64 t 4) 16 (*.f64 -4 (*.f64 t t)))) (fma.f64 (pow.f64 t 6) 64 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 1 (pow.f64 (*.f64 t 2) 2)) (-.f64 1 (*.f64 (pow.f64 t 4) 16))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (*.f64 t t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (*.f64 t t) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 t 2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (*.f64 t t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (*.f64 t t) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (*.f64 t 2) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 t t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 4 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) 4 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 t 2) 2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 t) t) (*.f64 (pow.f64 (cbrt.f64 t) 2) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) (cbrt.f64 (*.f64 (pow.f64 t 4) 16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 t 4) 16)) (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 2) (*.f64 t 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 t) t 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 4 (*.f64 (cbrt.f64 t) t)) (pow.f64 (cbrt.f64 t) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 t) 1) t 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 t) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 4 t) (sqrt.f64 t)) (sqrt.f64 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (pow.f64 (*.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (pow.f64 (*.f64 t 2) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (pow.f64 (*.f64 t 2) 2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (log1p.f64 (pow.f64 (*.f64 t 2) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 1 (*.f64 t 2))) 2))))))

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-neg-frac_binary64`
611×	`times-frac_binary64`
385×	`associate-/l/_binary64`
285×	`unswap-sqr_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	264
1	91	244
2	222	240
3	582	240
4	2080	240
5	6429	240

Stop Event

1×	node limit

Counts

118 → 112

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(*.f64 4 (pow.f64 t 2))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(*.f64 4 (pow.f64 t 2))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 -2 (pow.f64 t 4))))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 t t 1/2))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t (*.f64 -2 (pow.f64 t 4)))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 -2 (pow.f64 t 4) 1/2)))
(fma.f64 -2 (pow.f64 t 4) (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(-.f64 (+.f64 1 (/.f64 1/8 (pow.f64 t 4))) (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 -1/4 (*.f64 t t)) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/16 (pow.f64 t 6)))))
(-.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) -1) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 1 (/.f64 -1/4 (*.f64 t t))))
(-.f64 (+.f64 1 (/.f64 1/8 (pow.f64 t 4))) (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (-.f64 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 -1/4 (*.f64 t t)) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/16 (pow.f64 t 6)))))
(-.f64 (/.f64 1/8 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) -1) (/.f64 (/.f64 -1/4 t) t)))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 4))
(fma.f64 (*.f64 t t) 4 1)
(fma.f64 t (*.f64 t 4) 1)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.1b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
	0.3b	(/.f64 -2/9 t)
	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.0b	(+.f64 1 (/.f64 -2/9 t))
✓	0.0b	(+.f64 1 (/.f64 -2/9 t))
✓	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.3b	(/.f64 -2/9 t)
✓	3.1b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	0	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms	t	@	0	(+.f64 1 (/.f64 -2/9 t))
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down_binary64`
410×	`fma-def_binary64`
379×	`prod-diff_binary64`
364×	`log-prod_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	216	18
2	2942	18

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(+.f64 1 (/.f64 -2/9 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) 1) (pow.f64 (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -2/9) 3) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 2) 3) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -2/9 t))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 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t)) 2) (+.f64 (/.f64 -2/9 t) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2/9 (neg.f64 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2/9 (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (+.f64 (/.f64 -2/9 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t))))) (neg.f64 (+.f64 (/.f64 -2/9 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2) (+.f64 (/.f64 -2/9 t) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 2)) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2/9 (sqrt.f64 t)) (sqrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -2/9 (cbrt.f64 (*.f64 t t))) (cbrt.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4/81 (*.f64 t t)) 1/2)))) (#(struct:change #<rule egg-rr> 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-3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 -2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -2/9 t)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 0)))) (#(struct:change #<rule egg-rr> 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(/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 1 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 1 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 2) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 2)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 2)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (/.f64 -2/9 t)) 1))))))

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
16×	`sub-neg_binary64`
8×	`+-commutative_binary64`
6×	`associate-+l-_binary64`
6×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	186
1	23	186
2	36	186
3	60	186
4	81	186
5	105	186
6	130	186
7	152	186
8	162	186

Stop Event

1×

saturated

Counts

258 → 228

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
1
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))
(-.f64 1 (*.f64 2/9 (/.f64 1 t)))
(-.f64 1 (/.f64 2/9 t))
(+.f64 1 (/.f64 -2/9 t))

localize36.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.5b	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
	0.5b	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
	0.3b	(/.f64 -2/9 t)
	0.0b	(+.f64 (/.f64 -2/9 t) 5/6)
✓	0.0b	(+.f64 (/.f64 -2/9 t) 5/6)
	0.3b	(/.f64 -2/9 t)
✓	0.5b	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
✓	0.5b	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms	t	@	inf	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
0.0ms	t	@	0	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
0.0ms	t	@	-inf	(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))

rewrite95.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`unpow-prod-down_binary64`
487×	`prod-diff_binary64`
368×	`fma-def_binary64`
367×	`log-prod_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	216	21
2	2926	21

Stop Event

1×	node limit

Counts

3 → 275

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1)
(+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))
(+.f64 (/.f64 -2/9 t) 5/6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 -2/9 t) 11/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (pow.f64 (/.f64 1 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (/.f64 -5/27 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1) (/.f64 1 (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1) (pow.f64 (/.f64 1 (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) -5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36) (pow.f64 (/.f64 1 (+.f64 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#<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (/.f64 -5/27 t)) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -2/9 t) -5/6) (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 11/6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (*.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 5/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) 11/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 -2/9 t) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 -2/9 t) 11/6) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 2) (*.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) (*.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (-.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (/.f64 -5/27 t))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) (/.f64 1 (fma.f64 (+.f64 (/.f64 -2/9 t) 5/6) (+.f64 (/.f64 -2/9 t) -1/6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 11/6) 2) -1) (/.f64 1 (+.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 4/81 (*.f64 t t)) -25/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) -5/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2)) (/.f64 1 (-.f64 1/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 2) (cbrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 11/6)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (-.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))))

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`fma-def_binary64`
16×	`sub-neg_binary64`
8×	`+-commutative_binary64`
6×	`associate-+l-_binary64`
6×	`associate--r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	207
1	24	207
2	37	207
3	61	207
4	84	207
5	108	207
6	134	207
7	156	207
8	166	207

Stop Event

1×

saturated

Counts

311 → 189

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
11/6
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(-.f64 11/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 11/6 (/.f64 2/9 t))
(+.f64 11/6 (/.f64 -2/9 t))
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))

localize60.0ms (0.7%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -2/9 t)
	0.0b	(-.f64 (/.f64 -2/9 t) 5/6)
	0.0b	(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
	0.0b	(-.f64 (/.f64 4/81 (*.f64 t t)) 25/36)
	0.3b	(/.f64 -2/9 t)
	0.5b	(/.f64 1/27 (*.f64 t t))
✓	0.5b	(/.f64 4/81 (*.f64 t t))
✓	16.2b	(/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))

Compiler

Compiled 67 to 42 computations (37.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
1.0ms	t	@	inf	(/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
1.0ms	t	@	0	(/.f64 4/81 (*.f64 t t))
1.0ms	t	@	-inf	(/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
0.0ms	t	@	inf	(/.f64 4/81 (*.f64 t t))

rewrite169.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`log-prod_binary64`
343×	`pow2_binary64`
254×	`log-div_binary64`
254×	`prod-diff_binary64`
246×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	290	14
2	3945	14

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

Inputs
(/.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
(/.f64 4/81 (*.f64 t t))

Outputs

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(cbrt.f64 (/.f64 16/6561 (pow.f64 t 4))) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -5/6))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -5/6))) (neg.f64 (/.f64 25/36 (+.f64 (/.f64 -2/9 t) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 -2/9 t) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -5/6))) (/.f64 (/.f64 -2/9 t) (sqrt.f64 (+.f64 (/.f64 -2/9 t) -5/6))) (neg.f64 (/.f64 25/36 (+.f64 (/.f64 -2/9 t) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4/81 (pow.f64 t -2)) (+.f64 (/.f64 -8/729 (pow.f64 t 3)) -125/216)) (fma.f64 4/81 (pow.f64 t -2) (+.f64 25/36 (/.f64 -5/27 t))) (neg.f64 (/.f64 25/36 (+.f64 (/.f64 -2/9 t) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 4/81 (pow.f64 t -2)) (fma.f64 4/81 (pow.f64 t -2) -25/36)) (+.f64 (/.f64 -2/9 t) 5/6) (neg.f64 (/.f64 25/36 (+.f64 (/.f64 -2/9 t) -5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4/81 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/81) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/81) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/81) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/81) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4/81 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/81 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4/81 (pow.f64 (/.f64 1 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4/81 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2/9 (*.f64 (/.f64 1 t) (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2/9 t) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4/81 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (cbrt.f64 (/.f64 16/6561 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) (*.f64 (cbrt.f64 (/.f64 -2/9 t)) (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16/6561 (pow.f64 t 4))) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -2/9 t)) (*.f64 (sqrt.f64 (/.f64 -2/9 t)) (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4/81 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 4/81)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4/81 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -2/9 t)) 3) (sqrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2/9 t) -2/9) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -2/9 t) (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2)) (cbrt.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4/81 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2/9 t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (/.f64 -2/9 t)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64/531441 (pow.f64 (*.f64 t t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 81/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t -9/2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 81/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/6561 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/81) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4/81 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64/531441 (pow.f64 (*.f64 t t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4/81 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4/81 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 -2/9 t))) 1))))))

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

534×	`unsub-neg_binary64`
435×	`fma-def_binary64`
434×	`unswap-sqr_binary64`
409×	`associate-*l/_binary64`
361×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	153
1	28	153
2	46	153
3	83	153
4	170	153
5	465	153
6	1701	153
7	4344	153
8	5453	153

Stop Event

1×	node limit

Counts

217 → 198

Calls

Call 1

Inputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (pow.f64 t 2))

Outputs
(/.f64 -2/9 t)
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))

localize35.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.6b	(/.f64 1 (*.f64 t t))
	0.5b	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t))
	0.0b	(.f64 4 (.f64 t t))
✓	0.5b	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
✓	0.6b	(/.f64 1 (*.f64 t t))
✓	15.5b	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 82 to 50 computations (39% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
0.0ms	t	@	inf	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
0.0ms	t	@	0	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`log-prod_binary64`
575×	`fma-def_binary64`
346×	`log-div_binary64`
283×	`fma-neg_binary64`
283×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	333	43
2	4949	43

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 1 (*.f64 t t))
(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (/.f64 1 (fma.f64 4 (*.f64 t t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (fma.f64 4 (*.f64 t t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)) 2))) (cbrt.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) (/.f64 2 (sqrt.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (neg.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (fma.f64 t (*.f64 t 2) t)) (pow.f64 t 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 (pow.f64 (*.f64 t t) -3) (/.f64 8 (pow.f64 t 3)))) (fma.f64 (/.f64 2 t) (-.f64 (/.f64 2 t) (pow.f64 t -2)) (/.f64 1 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 (/.f64 1 (pow.f64 t 4)) (*.f64 4 (pow.f64 t -2)))) (-.f64 (pow.f64 t -2) (/.f64 2 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) 2) (cbrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) (sqrt.f64 (+.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 3)) (/.f64 1 (fma.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) (-.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 16 (pow.f64 (+.f64 (pow.f64 t -2) (/.f64 2 t)) 2))) (/.f64 1 (-.f64 1 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (+.f64 (pow.f64 t -2) (/.f64 2 t)))) 1))))))

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

725×	`times-frac_binary64`
693×	`fma-def_binary64`
387×	`associate-/l/_binary64`
377×	`associate-*l/_binary64`
368×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	417
1	154	415
2	404	408
3	1140	402
4	3675	402

Stop Event

1×	node limit

Counts

136 → 132

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 6 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(/.f64 1/2 t)
(-.f64 (.f64 1/2 (/.f64 1 t)) (.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 1/2 (/.f64 1 t)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 t 5))) (.f64 1/2 (/.f64 1 t))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(/.f64 1/2 t)
(-.f64 (.f64 1/2 (/.f64 1 t)) (.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 1/2 (/.f64 1 t)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 t 5))) (.f64 1/2 (/.f64 1 t))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (pow.f64 t 2))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 -32 (pow.f64 t 5)) (+.f64 (.f64 16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))))
(*.f64 2 t)
(-.f64 (*.f64 2 t) 1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) 1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 2 t)
(-.f64 (*.f64 2 t) 1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) 1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -4 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -4 (pow.f64 t 3) (*.f64 t t)))
(+.f64 (*.f64 -4 (pow.f64 t 3)) (fma.f64 t t 1/2))
(fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) 1/2)
(+.f64 1/2 (+.f64 (.f64 6 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 6 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (*.f64 t t))))
(+.f64 (fma.f64 6 (pow.f64 t 4) (*.f64 -4 (pow.f64 t 3))) (fma.f64 t t 1/2))
(fma.f64 6 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 t t 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -4 1) t) (fma.f64 6 (pow.f64 t 4) 1/2))
(/.f64 1/2 t)
(-.f64 (.f64 1/2 (/.f64 1 t)) (.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/2 t) (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (/.f64 1/2 t) (/.f64 -1/8 (pow.f64 t 3)))
(-.f64 (.f64 1/2 (/.f64 1 t)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 (/.f64 1/2 t) (/.f64 1/8 (pow.f64 t 3))) (/.f64 1/16 (pow.f64 t 4)))
(+.f64 (/.f64 1/2 t) (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/2 t) (/.f64 -1/16 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 t 5))) (.f64 1/2 (/.f64 1 t))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))) (/.f64 1/16 (pow.f64 t 4)))
(-.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 3/32 (pow.f64 t 5)) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 3/32 (pow.f64 t 5)) (/.f64 -1/16 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))))
(/.f64 1/2 t)
(-.f64 (.f64 1/2 (/.f64 1 t)) (.f64 1/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 1/2 t) (/.f64 1/8 (pow.f64 t 3)))
(+.f64 (/.f64 1/2 t) (/.f64 -1/8 (pow.f64 t 3)))
(-.f64 (.f64 1/2 (/.f64 1 t)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (*.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 (/.f64 1/2 t) (/.f64 1/8 (pow.f64 t 3))) (/.f64 1/16 (pow.f64 t 4)))
(+.f64 (/.f64 1/2 t) (-.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))))
(+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 1/2 t) (/.f64 -1/16 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 t 5))) (.f64 1/2 (/.f64 1 t))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 t 3))) (.f64 1/16 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (-.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (/.f64 1/8 (pow.f64 t 3))) (/.f64 1/16 (pow.f64 t 4)))
(-.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (+.f64 (/.f64 1/8 (pow.f64 t 3)) (/.f64 1/16 (pow.f64 t 4))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 3/32 (pow.f64 t 5)) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4)))))
(+.f64 (/.f64 1/2 t) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (+.f64 (/.f64 3/32 (pow.f64 t 5)) (/.f64 -1/16 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 1/2 t) (/.f64 3/32 (pow.f64 t 5))) (+.f64 (/.f64 -1/8 (pow.f64 t 3)) (/.f64 -1/16 (pow.f64 t 4))))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 (/.f64 1 t) t)
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(.f64 (.f64 t t) (fma.f64 t -8 4))
(+.f64 (.f64 16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 16 (pow.f64 t 4) (fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4)))
(fma.f64 (pow.f64 t 4) 16 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8)))
(fma.f64 (pow.f64 t 4) 16 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (.f64 (pow.f64 t 4) 16))
(+.f64 (.f64 -32 (pow.f64 t 5)) (+.f64 (.f64 16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -32 (pow.f64 t 5) (fma.f64 16 (pow.f64 t 4) (fma.f64 -8 (pow.f64 t 3) (.f64 (.f64 t t) 4))))
(fma.f64 (pow.f64 t 5) -32 (fma.f64 (pow.f64 t 4) 16 (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -8))))
(fma.f64 (pow.f64 t 4) 16 (fma.f64 (pow.f64 t 5) -32 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(fma.f64 t (.f64 t (fma.f64 t -8 4)) (fma.f64 (pow.f64 t 4) 16 (.f64 (pow.f64 t 5) -32)))
(fma.f64 (.f64 t t) (fma.f64 t -8 4) (fma.f64 (pow.f64 t 4) 16 (.f64 (pow.f64 t 5) -32)))
(*.f64 2 t)
(*.f64 t 2)
(-.f64 (*.f64 2 t) 1)
(fma.f64 2 t -1)
(fma.f64 t 2 -1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) 1)
(+.f64 (fma.f64 2 t (/.f64 1/2 t)) -1)
(+.f64 (/.f64 1/2 t) (fma.f64 t 2 -1))
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 2 t (/.f64 1/2 t)) (+.f64 1 (/.f64 1/4 (*.f64 t t))))
(+.f64 (fma.f64 t 2 (/.f64 1/2 t)) (-.f64 -1 (/.f64 1/4 (*.f64 t t))))
(+.f64 (fma.f64 t 2 (/.f64 1/2 t)) (+.f64 -1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 1/2 t) -1) (fma.f64 t 2 (/.f64 -1/4 (*.f64 t t))))
(+.f64 (/.f64 1/2 t) (-.f64 (fma.f64 t 2 -1) (/.f64 1/4 (*.f64 t t))))
(*.f64 2 t)
(*.f64 t 2)
(-.f64 (*.f64 2 t) 1)
(fma.f64 2 t -1)
(fma.f64 t 2 -1)
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) 1)
(+.f64 (fma.f64 2 t (/.f64 1/2 t)) -1)
(+.f64 (/.f64 1/2 t) (fma.f64 t 2 -1))
(-.f64 (+.f64 (.f64 2 t) (.f64 1/2 (/.f64 1 t))) (+.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (fma.f64 2 t (/.f64 1/2 t)) (+.f64 1 (/.f64 1/4 (*.f64 t t))))
(+.f64 (fma.f64 t 2 (/.f64 1/2 t)) (-.f64 -1 (/.f64 1/4 (*.f64 t t))))
(+.f64 (fma.f64 t 2 (/.f64 1/2 t)) (+.f64 -1 (/.f64 -1/4 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 1/2 t) -1) (fma.f64 t 2 (/.f64 -1/4 (*.f64 t t))))
(+.f64 (/.f64 1/2 t) (-.f64 (fma.f64 t 2 -1) (/.f64 1/4 (*.f64 t t))))

eval592.0ms (6.5%)

Compiler: Compiled 22540 to 18140 computations (19.5% saved)

prune128.0ms (1.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	990	3	993
Fresh	1	3	4
Picked	0	1	1
Done	2	5	7
Total	993	12	1005

Error

Counts

1005 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	32.5b	(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
	30.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	33.0b	(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
✓	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
	25.2b	1/2
	27.4b	5/6
	29.8b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))
	32.5b	(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
✓	28.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	27.8b	(-.f64 11/6 1)
✓	29.9b	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 182 to 138 computations (24.2% saved)

regimes12.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))

Outputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.0b	1	`t`

Compiler

Compiled 173 to 124 computations (28.3% saved)

regimes22.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))

Outputs

(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))))

(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 142 to 101 computations (28.9% saved)

bsearch72.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.39211478482209317	244540.51927193906
36.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes21.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))

Outputs

(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

(/.f64 (+.f64 1 (/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))

(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Calls

1 calls:

18.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 113 to 80 computations (29.2% saved)

bsearch74.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.39211478482209317	244540.51927193906
37.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes82.0ms (0.9%)

Counts

9 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 (-.f64 (/.f64 4/81 (.f64 t t)) 25/36) (-.f64 (/.f64 -2/9 t) 5/6)))
(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Outputs
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Calls

1 calls:

79.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 86 to 60 computations (30.2% saved)

bsearch152.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	0.39211478482209317	244540.51927193906
101.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes24.0ms (0.3%)

Counts

6 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Outputs
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
1/2
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 31 to 25 computations (19.4% saved)

bsearch98.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.07561304932366755	0.39211478482209317
38.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes45.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)

Outputs
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1)
1/2
(+.f64 5/6 (/.f64 -2/9 t))

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
0.8b	3	`t`

Compiler

Compiled 20 to 17 computations (15% saved)

bsearch155.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
117.0ms	0.39211478482209317	244540.51927193906
38.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))

Outputs
(+.f64 5/6 (/.f64 -2/9 t))
1/2
(+.f64 5/6 (/.f64 -2/9 t))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.8b	3	`t`

Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch209.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
153.0ms	0.39211478482209317	244540.51927193906
56.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes11.0ms (0.1%)

Accuracy

Total -50.3b remaining (-4453.8%)

Threshold costs -50.3b (-4453.8%)

Counts

3 → 3

Calls

Call 1

Inputs
5/6
1/2
(-.f64 11/6 1)

Outputs
5/6
1/2
5/6

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.1b	3	`t`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch134.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	0.39211478482209317	244540.51927193906
63.0ms	-940663.7488860491	-0.0037086005959082635

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	401
1	80	401

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 1394814569506472448/18446744073709551616) 1/2 (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1) (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) 5/6 (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 5/6))
5/6

Outputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t)))) (+.f64 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t))) 2))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 1765927998811241/4503599627370496) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 1765927998811241/4503599627370496) (/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 7233241083130843136/18446744073709551616) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 1765927998811241/4503599627370496) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 1394814569506472448/18446744073709551616) 1/2 (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))) (if (<=.f64 t 2724247206067329/36028797018963968) 1/2 (+.f64 (/.f64 1/27 (.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1) (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)) (if (<=.f64 t 1765927998811241/4503599627370496) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 1765927998811241/4503599627370496) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -8080240075996675/8589934592) 5/6 (if (<=.f64 t 7233241083130843136/18446744073709551616) 1/2 5/6))
(if (<=.f64 t -8080240075996675/8589934592) 5/6 (if (<=.f64 t 1765927998811241/4503599627370496) 1/2 5/6))
5/6

end191.0ms (2.1%)

Stop Event

1×

fuel

Compiler

Compiled 560 to 407 computations (27.3% saved)