Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.8s (13.1%)

Results

1.8s

8256×

body

256

valid

Bogosity

preprocess709.0ms (5.1%)

Algorithm

2×	egg-herbie

Rules

1141×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
549×	`times-frac_binary64`
464×	`distribute-rgt-out_binary64`
460×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	134	42
4	350	42
5	617	42
6	1048	42
7	2279	38
8	3249	36
9	4467	36
10	4818	36
11	5104	36
12	5154	36
13	6197	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 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t)) (+.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 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 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 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (.f64 t t) 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))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1141×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
549×	`times-frac_binary64`
464×	`distribute-rgt-out_binary64`
460×	`associate-+l+_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	134	42
4	350	42
5	617	42
6	1048	42
7	2279	38
8	3249	36
9	4467	36
10	4818	36
11	5104	36
12	5154	36
13	6197	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 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t)) (+.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 t (/.f64 (/.f64 4 (+.f64 1 t)) (+.f64 1 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 t (/.f64 4 (fma.f64 t (+.f64 2 t) 1))) 1) (fma.f64 (/.f64 4 (fma.f64 t (+.f64 2 t) 1)) (.f64 t t) 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))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))
▶	0.0b	(/.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)))))

Status

Error

Program

▶

0.0b

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

▶

0.0b

(/.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 62 to 48 computations (22.6% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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 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)))))
✓	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)

series6.0ms (0%)

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 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)))))
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 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)))))
0.0ms	t	@	-inf	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

rewrite142.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
379×	`fma-def_binary64`
275×	`log-div_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	258	73
2	3957	73

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

693×	`fma-neg_binary64`
495×	`distribute-lft-out_binary64`
473×	`cancel-sign-sub-inv_binary64`
471×	`distribute-rgt-out_binary64`
425×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	614
1	255	605
2	669	594
3	1908	585
4	4783	572

Stop Event

1×	node limit

Counts

233 → 243

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)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
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))) (+.f64 5/6 (.f64 4/81 (/.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 (.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))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.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)))))
(*.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))))

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 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 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 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.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 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 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 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 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.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 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 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
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 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 2/9 t) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 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 (+.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 5/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 2/9 t) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 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 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 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 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 12 (*.f64 t t)) (+.f64 5 (/.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 (+.f64 5 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 5 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 5 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3)))
(+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 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 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 (+.f64 5 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 5 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 16 (pow.f64 t 3))) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 (+.f64 5 (-.f64 (/.f64 (/.f64 12 t) t) (/.f64 8 t))) (/.f64 -16 (pow.f64 t 3)))
(+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t))))
(*.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 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 t (.f64 t -2) (.f64 2 (+.f64 t (pow.f64 t 3))))
(.f64 t (+.f64 2 (.f64 t (+.f64 -2 (*.f64 t 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 (+.f64 (.f64 2 (pow.f64 t 3)) (.f64 -2 (fma.f64 t t (pow.f64 t 4)))))
(fma.f64 -2 (fma.f64 t t (pow.f64 t 4)) (*.f64 2 (+.f64 t (pow.f64 t 3))))
(.f64 (fma.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 2 (+.f64 (/.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 2 (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 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 2 (+.f64 (/.f64 -2 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 2 (/.f64 -2 t)))))
(.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 2 (+.f64 (/.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 2 (/.f64 -2 t)))
(+.f64 2 (*.f64 (/.f64 1 t) (+.f64 (/.f64 2 t) -2)))
(-.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 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 2 (+.f64 (/.f64 -2 t) (.f64 (/.f64 1 (.f64 t t)) (+.f64 2 (/.f64 -2 t)))))
(.f64 (+.f64 1 (/.f64 1 (.f64 t t))) (+.f64 2 (/.f64 -2 t)))

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 59 computations (24.4% saved)

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite151.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`prod-diff_binary64`
597×	`log-prod_binary64`
336×	`fma-def_binary64`
238×	`log1p-udef_binary64`
237×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	76
1	275	76
2	3800	76

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify82.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l/_binary64`
523×	`fma-neg_binary64`
459×	`distribute-lft-out_binary64`
381×	`cancel-sign-sub-inv_binary64`
356×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	569
1	226	561
2	582	555
3	1628	551
4	4174	551

Stop Event

1×	node limit

Counts

201 → 202

Calls

Call 1

Inputs
(*.f64 4 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -8 (pow.f64 t 2)) (*.f64 4 t)))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
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))) (+.f64 5/6 (.f64 4/81 (/.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 (.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))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(/.f64 1 t)
(+.f64 2 (/.f64 1 t))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.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 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 4 t))
(fma.f64 4 t (.f64 t (.f64 t -8)))
(.f64 t (+.f64 4 (.f64 t -8)))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -8 (pow.f64 t 2)) (*.f64 4 t)))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -8 (.f64 t t) (.f64 4 t)))
(fma.f64 12 (pow.f64 t 3) (fma.f64 4 t (.f64 t (.f64 t -8))))
(fma.f64 4 t (.f64 (.f64 t t) (+.f64 -8 (*.f64 t 12))))
(.f64 t (+.f64 4 (.f64 t (+.f64 -8 (*.f64 t 12)))))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 4) (fma.f64 -8 (.f64 t t) (.f64 4 t))))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 4) (fma.f64 4 t (.f64 t (.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 4) (fma.f64 4 t (.f64 (.f64 t t) (+.f64 -8 (*.f64 t 12)))))
(fma.f64 -16 (pow.f64 t 4) (.f64 t (+.f64 4 (.f64 t (+.f64 -8 (*.f64 t 12))))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t)))
(+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 12 (pow.f64 t 3)) (/.f64 -8 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (/.f64 4 t) (.f64 (/.f64 1 (.f64 t t)) (-.f64 (/.f64 12 t) 8)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -16 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 t))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t)))
(+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))))
(+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 12 (pow.f64 t 3)) (/.f64 -8 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (/.f64 4 t) (.f64 (/.f64 1 (.f64 t t)) (-.f64 (/.f64 12 t) 8)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 4 t) (+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -16 (pow.f64 t 4)) (-.f64 (/.f64 8 (*.f64 t t)) (/.f64 4 t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(fma.f64 (pow.f64 t 3) -2 (+.f64 1/2 (fma.f64 t t (pow.f64 t 4))))
(+.f64 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 -2 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 (+.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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.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 (+.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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(/.f64 1 t)
(+.f64 2 (/.f64 1 t))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 t 2)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 t 2)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 (+.f64 t 2) (/.f64 1 t))
(+.f64 (/.f64 1 t) (+.f64 t 2))
(+.f64 t (+.f64 2 (/.f64 1 t)))
2
(+.f64 2 (*.f64 4 (pow.f64 t 2)))
(+.f64 2 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t 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 (fma.f64 4 (.f64 t t) 2) (.f64 -8 (pow.f64 t 3)))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 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 12 (pow.f64 t 4) (.f64 t (.f64 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 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 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.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 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 6 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))

eval812.0ms (5.8%)

Compiler: Compiled 27681 to 21650 computations (21.8% saved)

prune201.0ms (1.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	794	14	808
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	796	14	810

Error

Counts

810 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	30.4b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
	30.3b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	0.0b	(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)
▶	30.2b	(+.f64 5/6 (/.f64 -2/9 t))
	16.0b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	32.0b	(/.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 t 2))))
▶	31.9b	(/.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))))
	32.4b	(fma.f64 t t 1/2)
▶	31.1b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
	27.0b	1/2
	30.9b	(/.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)))))
	25.6b	5/6
	32.2b	(/.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))))))

Compiler

Compiled 574 to 446 computations (22.3% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 79 computations (24% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite112.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`prod-diff_binary64`
351×	`fma-def_binary64`
263×	`log1p-udef_binary64`
262×	`expm1-udef_binary64`
239×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	315	95
2	4276	95

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

Inputs
(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2)))
(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)
(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1))
(+.f64 (/.f64 1 t) (+.f64 t 2))

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-/l/_binary64`
518×	`distribute-lft-out_binary64`
412×	`distribute-rgt-out_binary64`
371×	`fma-neg_binary64`
343×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	567
1	229	559
2	589	554
3	1672	551
4	4358	551

Stop Event

1×	node limit

Counts

216 → 217

Calls

Call 1

Inputs
(*.f64 4 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -8 (pow.f64 t 2)) (*.f64 4 t)))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
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))) (+.f64 5/6 (.f64 4/81 (/.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 (.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))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
2
(+.f64 (*.f64 -4 (pow.f64 t 2)) 2)
(+.f64 (.f64 -4 (pow.f64 t 2)) (+.f64 2 (.f64 8 (pow.f64 t 3))))
(+.f64 (.f64 -4 (pow.f64 t 2)) (+.f64 2 (+.f64 (.f64 4 (pow.f64 t 4)) (*.f64 8 (pow.f64 t 3)))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(-.f64 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t)))) (*.f64 48/625 (/.f64 1 (pow.f64 t 3))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(-.f64 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t)))) (*.f64 48/625 (/.f64 1 (pow.f64 t 3))))
(/.f64 1 t)
(+.f64 2 (/.f64 1 t))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))

Outputs
(*.f64 4 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 4 t))
(fma.f64 4 t (.f64 t (.f64 t -8)))
(.f64 t (+.f64 4 (.f64 t -8)))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -8 (pow.f64 t 2)) (*.f64 4 t)))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -8 (.f64 t t) (.f64 4 t)))
(fma.f64 12 (pow.f64 t 3) (fma.f64 4 t (.f64 t (.f64 t -8))))
(fma.f64 4 t (.f64 (.f64 t t) (+.f64 -8 (*.f64 t 12))))
(.f64 t (+.f64 4 (.f64 t (+.f64 -8 (*.f64 t 12)))))
(+.f64 (.f64 12 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 4)) (+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 4) (fma.f64 -8 (.f64 t t) (.f64 4 t))))
(fma.f64 12 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 4) (fma.f64 4 t (.f64 t (.f64 t -8)))))
(fma.f64 -16 (pow.f64 t 4) (fma.f64 4 t (.f64 (.f64 t t) (+.f64 -8 (*.f64 t 12)))))
(fma.f64 -16 (pow.f64 t 4) (.f64 t (+.f64 4 (.f64 t (+.f64 -8 (*.f64 t 12))))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t)))
(+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(-.f64 (/.f64 12 (pow.f64 t 3)) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 16 (pow.f64 t 4))))
(+.f64 (+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3))) (/.f64 -16 (pow.f64 t 4)))
(+.f64 (/.f64 12 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (+.f64 (/.f64 -8 (*.f64 t t)) (/.f64 -16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -16 (pow.f64 t 4)) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 t))))
(/.f64 4 t)
(-.f64 (.f64 4 (/.f64 1 t)) (.f64 8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t)))
(+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (*.f64 8 (/.f64 1 (pow.f64 t 2))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))))
(+.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3)))
(-.f64 (/.f64 12 (pow.f64 t 3)) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 3))) (.f64 4 (/.f64 1 t))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 4))) (.f64 8 (/.f64 1 (pow.f64 t 2)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 4 t) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) (/.f64 8 (*.f64 t t))) (/.f64 16 (pow.f64 t 4))))
(+.f64 (+.f64 (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))) (/.f64 12 (pow.f64 t 3))) (/.f64 -16 (pow.f64 t 4)))
(+.f64 (/.f64 12 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (+.f64 (/.f64 -8 (*.f64 t t)) (/.f64 -16 (pow.f64 t 4)))))
(+.f64 (/.f64 12 (pow.f64 t 3)) (-.f64 (/.f64 -16 (pow.f64 t 4)) (+.f64 (/.f64 8 (*.f64 t t)) (/.f64 -4 t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 (/.f64 1/27 t) t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.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 (+.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 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (-.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 (/.f64 1/27 t) t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t)))
2
(+.f64 (*.f64 -4 (pow.f64 t 2)) 2)
(fma.f64 -4 (*.f64 t t) 2)
(fma.f64 (*.f64 t t) -4 2)
(+.f64 (.f64 -4 (pow.f64 t 2)) (+.f64 2 (.f64 8 (pow.f64 t 3))))
(+.f64 (fma.f64 -4 (.f64 t t) 2) (.f64 (pow.f64 t 3) 8))
(fma.f64 (*.f64 t t) -4 (fma.f64 (pow.f64 t 3) 8 2))
(fma.f64 t (*.f64 t -4) (fma.f64 (pow.f64 t 3) 8 2))
(+.f64 (.f64 -4 (pow.f64 t 2)) (+.f64 2 (+.f64 (.f64 4 (pow.f64 t 4)) (*.f64 8 (pow.f64 t 3)))))
(+.f64 (fma.f64 -4 (.f64 t t) 2) (fma.f64 4 (pow.f64 t 4) (.f64 (pow.f64 t 3) 8)))
(+.f64 (fma.f64 (.f64 t t) -4 2) (fma.f64 4 (pow.f64 t 4) (.f64 (pow.f64 t 3) 8)))
(fma.f64 t (*.f64 t -4) (fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) 8 2)))
(+.f64 2 (.f64 (.f64 t t) (+.f64 -4 (.f64 t (+.f64 8 (.f64 4 t))))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 6/5 (/.f64 8/25 t))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5) (/.f64 8/25 t))
(+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))))
(+.f64 (/.f64 8/25 t) (+.f64 6/5 (/.f64 4/125 (*.f64 t t))))
(-.f64 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t)))) (*.f64 48/625 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5) (/.f64 8/25 t)) (/.f64 48/625 (pow.f64 t 3)))
(+.f64 (+.f64 6/5 (/.f64 8/25 t)) (-.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 48/625 (pow.f64 t 3))))
(+.f64 6/5 (-.f64 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))) (/.f64 48/625 (pow.f64 t 3))))
(+.f64 6/5 (+.f64 (/.f64 -48/625 (pow.f64 t 3)) (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(+.f64 6/5 (+.f64 (/.f64 8/25 t) (-.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 48/625 (pow.f64 t 3)))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 6/5 (/.f64 8/25 t))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5) (/.f64 8/25 t))
(+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))))
(+.f64 (/.f64 8/25 t) (+.f64 6/5 (/.f64 4/125 (*.f64 t t))))
(-.f64 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t)))) (*.f64 48/625 (/.f64 1 (pow.f64 t 3))))
(-.f64 (+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5) (/.f64 8/25 t)) (/.f64 48/625 (pow.f64 t 3)))
(+.f64 (+.f64 6/5 (/.f64 8/25 t)) (-.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 48/625 (pow.f64 t 3))))
(+.f64 6/5 (-.f64 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))) (/.f64 48/625 (pow.f64 t 3))))
(+.f64 6/5 (+.f64 (/.f64 -48/625 (pow.f64 t 3)) (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(+.f64 6/5 (+.f64 (/.f64 8/25 t) (-.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 48/625 (pow.f64 t 3)))))
(/.f64 1 t)
(+.f64 2 (/.f64 1 t))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 t 2)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))
t
(+.f64 2 t)
(+.f64 t 2)
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))
(+.f64 2 (+.f64 t (/.f64 1 t)))
(+.f64 t (+.f64 2 (/.f64 1 t)))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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	@	0	(+.f64 5/6 (/.f64 -2/9 t))
0.0ms	t	@	-inf	(/.f64 -2/9 t)
0.0ms	t	@	-inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite66.0ms (0.5%)

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	1759	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 (pow.f64 (/.f64 -2/9 t) 2))))) (#(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 expm1.f64 (log1p.f64 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.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 (pow.f64 (/.f64 -2/9 t) 2) (-.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 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.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 (pow.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 25/36 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (pow.f64 (/.f64 -2/9 t) 2) (-.f64 25/36 (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2)) (-.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 (pow.f64 (/.f64 -2/9 t) 2) (/.f64 -5/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 -2/9 t) 2))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 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 expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(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 exp.f64 (log.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)))))

simplify12.0ms (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))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))
	0.3b	(/.f64 -2/9 t)
✓	0.4b	(/.f64 1 (*.f64 t t))
✓	0.4b	(/.f64 4/81 t)

Compiler

Compiled 59 to 40 computations (32.2% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 1 (*.f64 t t))
1.0ms	t	@	0	(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))
1.0ms	t	@	0	(/.f64 4/81 t)
0.0ms	t	@	inf	(/.f64 4/81 t)
0.0ms	t	@	-inf	(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))

rewrite77.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

456×	`log-prod_binary64`
354×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
262×	`pow2_binary64`
259×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	227	21
2	3055	21

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(/.f64 4/81 t)
(/.f64 1 (*.f64 t t))
(.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)))

Outputs

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

simplify162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

738×	`sqr-pow_binary64`
725×	`associate-/l*_binary64`
536×	`unswap-sqr_binary64`
485×	`*-commutative_binary64`
359×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	249
1	35	249
2	65	249
3	133	249
4	390	249
5	1726	249
6	4440	249
7	4681	249
8	4991	249
9	5317	249
10	5737	249
11	6354	249
12	7222	249
13	7989	249

Stop Event

1×	node limit

Counts

192 → 175

Calls

Call 1

Inputs
(/.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 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))

Outputs
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 1 (pow.f64 t 2))
(/.f64 1 (*.f64 t t))
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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)))
✓	0.4b	(/.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))))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series3.0ms (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 2 (*.f64 4 (*.f64 t t))))

1.0ms

inf

(/.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))))

0.0ms

-inf

(/.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))))

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

778×	`log-prod_binary64`
454×	`fma-def_binary64`
271×	`log-div_binary64`
260×	`expm1-udef_binary64`
260×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	319	26
2	4714	26

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 2 (.f64 4 (*.f64 t t))))

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
412×	`distribute-rgt-neg-in_binary64`
370×	`associate-/l/_binary64`
324×	`fma-def_binary64`
311×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	207
1	102	205
2	256	201
3	697	201
4	2320	201
5	6912	201

Stop Event

1×	node limit

Counts

50 → 53

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)))))

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 107 to 80 computations (25.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

751×	`log-prod_binary64`
451×	`fma-def_binary64`
287×	`log-div_binary64`
246×	`fma-neg_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	305	47
2	4280	47

Stop Event

1×	node limit

Counts

2 → 68

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 t 2))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))))))))) 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(cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t)))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (*.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (/.f64 1 (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (+.f64 2 (/.f64 (*.f64 4 (*.f64 t t)) (+.f64 1 t))))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 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simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-def_binary64`
463×	`times-frac_binary64`
400×	`fma-neg_binary64`
346×	`distribute-rgt-out_binary64`
337×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	335
1	158	329
2	418	323
3	1174	316
4	3826	316

Stop Event

1×	node limit

Counts

92 → 98

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -3 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (.f64 -3 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (.f64 3 (pow.f64 t 4)))))
(/.f64 5/4 t)
(-.f64 (.f64 5/4 (/.f64 1 t)) (.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (*.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (+.f64 (.f64 11/8 (/.f64 1 (pow.f64 t 2))) (.f64 27/32 (/.f64 1 (pow.f64 t 4)))))
(/.f64 5/4 t)
(-.f64 (.f64 5/4 (/.f64 1 t)) (.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (*.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (+.f64 (.f64 11/8 (/.f64 1 (pow.f64 t 2))) (.f64 27/32 (/.f64 1 (pow.f64 t 4)))))
(*.f64 4 (pow.f64 t 2))
(+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (+.f64 (.f64 -4 (pow.f64 t 5)) (.f64 4 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(*.f64 4 t)
(-.f64 (*.f64 4 t) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 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 (*.f64 -3 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -3 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -3 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -3 (pow.f64 t 3) 1/2))
(+.f64 (.f64 -3 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 2) (.f64 3 (pow.f64 t 4)))))
(fma.f64 -3 (pow.f64 t 3) (+.f64 1/2 (+.f64 (.f64 t t) (.f64 3 (pow.f64 t 4)))))
(+.f64 (fma.f64 -3 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 3 (pow.f64 t 4)))
(fma.f64 -3 (pow.f64 t 3) (fma.f64 t t (fma.f64 3 (pow.f64 t 4) 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -3 1) t) (fma.f64 3 (pow.f64 t 4) 1/2))
(fma.f64 t t (fma.f64 -3 (pow.f64 t 3) (fma.f64 3 (pow.f64 t 4) 1/2)))
(/.f64 5/4 t)
(-.f64 (.f64 5/4 (/.f64 1 t)) (.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 5/4 t) (/.f64 11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (/.f64 -11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (*.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (/.f64 5/4 t) (/.f64 17/16 (pow.f64 t 3))) (/.f64 11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 -11/8 (*.f64 t t))))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 (/.f64 -11/8 t) t)))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (+.f64 (.f64 11/8 (/.f64 1 (pow.f64 t 2))) (.f64 27/32 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (/.f64 5/4 t) (+.f64 (/.f64 11/8 (*.f64 t t)) (/.f64 27/32 (pow.f64 t 4)))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 5/4 t) (/.f64 27/32 (pow.f64 t 4))) (/.f64 11/8 (*.f64 t t))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t)) (/.f64 27/32 (pow.f64 t 4))))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (+.f64 (/.f64 -11/8 (*.f64 t t)) (/.f64 -27/32 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t)) (-.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 27/32 (pow.f64 t 4))))
(/.f64 5/4 t)
(-.f64 (.f64 5/4 (/.f64 1 t)) (.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (/.f64 5/4 t) (/.f64 11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (/.f64 -11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (*.f64 11/8 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 (/.f64 5/4 t) (/.f64 17/16 (pow.f64 t 3))) (/.f64 11/8 (*.f64 t t)))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 -11/8 (*.f64 t t))))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 (/.f64 -11/8 t) t)))
(-.f64 (+.f64 (.f64 17/16 (/.f64 1 (pow.f64 t 3))) (.f64 5/4 (/.f64 1 t))) (+.f64 (.f64 11/8 (/.f64 1 (pow.f64 t 2))) (.f64 27/32 (/.f64 1 (pow.f64 t 4)))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (/.f64 5/4 t) (+.f64 (/.f64 11/8 (*.f64 t t)) (/.f64 27/32 (pow.f64 t 4)))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 5/4 t) (/.f64 27/32 (pow.f64 t 4))) (/.f64 11/8 (*.f64 t t))))
(+.f64 (/.f64 17/16 (pow.f64 t 3)) (-.f64 (+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t)) (/.f64 27/32 (pow.f64 t 4))))
(+.f64 (/.f64 5/4 t) (+.f64 (/.f64 17/16 (pow.f64 t 3)) (+.f64 (/.f64 -11/8 (*.f64 t t)) (/.f64 -27/32 (pow.f64 t 4)))))
(+.f64 (+.f64 (/.f64 5/4 t) (/.f64 (/.f64 -11/8 t) t)) (-.f64 (/.f64 17/16 (pow.f64 t 3)) (/.f64 27/32 (pow.f64 t 4))))
(*.f64 4 (pow.f64 t 2))
(.f64 (.f64 t t) 4)
(.f64 t (.f64 t 4))
(+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -4 (pow.f64 t 3) (.f64 (.f64 t t) 4))
(fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -4))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -4)))
(.f64 (.f64 t t) (fma.f64 t -4 4))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (.f64 (.f64 t t) 4)))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (.f64 t t) 4 (.f64 (pow.f64 t 3) -4)))
(fma.f64 4 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -4))))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t (fma.f64 t 4 -4))))
(+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (+.f64 (.f64 -4 (pow.f64 t 5)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (fma.f64 -4 (pow.f64 t 5) (.f64 (.f64 t t) 4))))
(fma.f64 4 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -4 (fma.f64 -4 (pow.f64 t 5) (.f64 t (.f64 t 4)))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (.f64 4 (+.f64 (.f64 t t) (pow.f64 t 4))))
(fma.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5)) (*.f64 4 (fma.f64 t t (pow.f64 t 4))))
(fma.f64 4 (fma.f64 t t (pow.f64 t 4)) (*.f64 -4 (+.f64 (pow.f64 t 3) (pow.f64 t 5))))
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(-.f64 (/.f64 4 t) (fma.f64 t -4 4))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (/.f64 4 t) (-.f64 (fma.f64 t 4 -4) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (+.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 -4 (*.f64 t t))))
(+.f64 -4 (+.f64 (/.f64 4 t) (fma.f64 t 4 (/.f64 (/.f64 -4 t) t))))
(*.f64 4 t)
(*.f64 t 4)
(-.f64 (*.f64 4 t) 4)
(fma.f64 4 t -4)
(fma.f64 t 4 -4)
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) 4)
(+.f64 (/.f64 4 t) (fma.f64 4 t -4))
(+.f64 -4 (fma.f64 t 4 (/.f64 4 t)))
(-.f64 (/.f64 4 t) (fma.f64 t -4 4))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 t)) (+.f64 4 (*.f64 4 (/.f64 1 (pow.f64 t 2)))))
(-.f64 (+.f64 (/.f64 4 t) (fma.f64 4 t -4)) (/.f64 4 (*.f64 t t)))
(+.f64 (/.f64 4 t) (-.f64 (fma.f64 t 4 -4) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (-.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 4 (*.f64 t t))))
(+.f64 -4 (+.f64 (fma.f64 t 4 (/.f64 4 t)) (/.f64 -4 (*.f64 t t))))
(+.f64 -4 (+.f64 (/.f64 4 t) (fma.f64 t 4 (/.f64 (/.f64 -4 t) t))))

eval1.2s (8.4%)

Compiler: Compiled 30692 to 23754 computations (22.6% saved)

prune211.0ms (1.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	1112	8	1120
Fresh	3	6	9
Picked	1	0	1
Done	3	1	4
Total	1119	15	1134

Error

Counts

1134 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	31.0b	(/.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
	27.0b	1/2
	30.4b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
▶	30.3b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
✓	30.2b	(+.f64 5/6 (/.f64 -2/9 t))
	16.0b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	0.0b	(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	30.2b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
▶	32.8b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
	25.6b	5/6
	32.4b	(fma.f64 t t 1/2)
	33.0b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
▶	31.1b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
	29.8b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	31.9b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 488 to 377 computations (22.7% saved)

localize108.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 142 to 105 computations (26.1% saved)

series6.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite131.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`fma-def_binary64`
379×	`fma-neg_binary64`
279×	`log1p-udef_binary64`
278×	`expm1-udef_binary64`
227×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	63
1	409	63
2	5781	59

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

Inputs

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

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

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

simplify78.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
438×	`times-frac_binary64`
329×	`*-commutative_binary64`
313×	`associate-/l/_binary64`
276×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	407
1	181	397
2	449	394
3	1191	386
4	3445	386
5	7733	386

Stop Event

1×	node limit

Counts

200 → 202

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 1/2 t)
(+.f64 1 (*.f64 1/2 (/.f64 1 t)))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(*.f64 1/2 t)
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(*.f64 1/2 t)
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
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))) (+.f64 5/6 (.f64 4/81 (/.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 (.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))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))

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 (.f64 t 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 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 (.f64 t 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 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 12 (pow.f64 t 4) (.f64 -16 (pow.f64 t 5))))
(fma.f64 (.f64 t 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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 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 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 (/.f64 12 t) t) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.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 (+.f64 4 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (+.f64 (/.f64 (/.f64 12 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 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 (/.f64 12 t) t) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 4 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.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)))))
(/.f64 1/2 t)
(+.f64 1 (*.f64 1/2 (/.f64 1 t)))
(+.f64 1 (/.f64 1/2 t))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
(*.f64 1/2 t)
(*.f64 t 1/2)
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (*.f64 t 1/2))
(fma.f64 t 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
(*.f64 1/2 t)
(*.f64 t 1/2)
(+.f64 1 (*.f64 1/2 t))
(+.f64 1 (*.f64 t 1/2))
(fma.f64 t 1/2 1)
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
(+.f64 1 (+.f64 (.f64 1/2 t) (.f64 1/2 (/.f64 1 t))))
(+.f64 1 (fma.f64 1/2 t (/.f64 1/2 t)))
(+.f64 (/.f64 1/2 t) (fma.f64 t 1/2 1))
(+.f64 1 (fma.f64 t 1/2 (/.f64 1/2 t)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2)))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3)))) (/.f64 2/9 t))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.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 (+.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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3)))) (/.f64 2/9 t))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)
✓	3.8b	(-.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
0.0ms	t	@	0	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	0	(+.f64 1 (/.f64 -2/9 t))
0.0ms	t	@	0	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)
0.0ms	t	@	-inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down_binary64`
411×	`fma-def_binary64`
379×	`prod-diff_binary64`
365×	`log-prod_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	216	18
2	3083	18

Stop Event

1×	node limit

Counts

3 → 226

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

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simplify23.0ms (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

262 → 232

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))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t)
✓	0.2b	(/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)
	0.3b	(/.f64 -2/9 t)
	0.4b	(/.f64 4/81 t)

Compiler

Compiled 53 to 39 computations (26.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)
1.0ms	t	@	-inf	(/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)
0.0ms	t	@	inf	(/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)
0.0ms	t	@	inf	(/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t)
0.0ms	t	@	0	(/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`unpow-prod-down_binary64`
444×	`log-prod_binary64`
251×	`pow-prod-down_binary64`
239×	`pow2_binary64`
199×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	189	23
2	2630	23

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)
(/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t)

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 t (+.f64 (/.f64 4/81 t) 1/27))) 2) -1) (cbrt.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27)) -2) -1) (pow.f64 (/.f64 t (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 t) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 t) (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 t) (cbrt.f64 (+.f64 (/.f64 4/81 t) 1/27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 4/81 t) 1/27) -1/2) -1) (pow.f64 (/.f64 t (sqrt.f64 (+.f64 (/.f64 4/81 t) 1/27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (+.f64 (/.f64 4/81 t) 1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 4/81 t) 1/27) 3) (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 t (+.f64 (/.f64 4/81 t) 1/27)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (+.f64 (/.f64 4/81 t) 1/27)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 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(/.f64 t (+.f64 (/.f64 4/81 t) 1/27))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 4/81 t) 1/27)) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 4/81 t) 1/27)) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 4/81 t) 1/27)) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 4/81 t) 1/27)) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2)) 1)))) (#(struct:change #<rule 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4/81 t) 1/27) (pow.f64 t -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4/81 t) 1/27)) t) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4/81 t) 1/27)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (/.f64 t (+.f64 (/.f64 4/81 t) 1/27)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (/.f64 4/81 t) 1/27) (pow.f64 t -2))) 1) 1))))))

simplify120.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1159×	`associate-/r/_binary64`
616×	`sqr-pow_binary64`
584×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
260×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	297
1	45	297
2	76	297
3	150	297
4	439	297
5	1999	297
6	3944	297
7	4266	297
8	4705	297
9	5122	297
10	5687	297
11	6474	297
12	7922	297

Stop Event

1×	node limit

Counts

177 → 163

Calls

Call 1

Inputs
(/.f64 4/81 (pow.f64 t 2))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(/.f64 1/27 t)
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(/.f64 1/27 t)
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(/.f64 1/27 (pow.f64 t 2))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))

Outputs
(/.f64 4/81 (pow.f64 t 2))
(/.f64 4/81 (*.f64 t t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(/.f64 1/27 t)
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(/.f64 1/27 t)
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(+.f64 (.f64 4/81 (/.f64 1 (pow.f64 t 2))) (.f64 1/27 (/.f64 1 t)))
(+.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))
(/.f64 4/81 (pow.f64 t 3))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (*.f64 t t))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (+.f64 4 (.f64 t -8)))
✓	0.0b	(.f64 4 (.f64 t t))
✓	0.1b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
✓	20.9b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 75 to 50 computations (33.3% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
0.0ms	t	@	-inf	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
0.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
0.0ms	t	@	inf	(.f64 4 (.f64 t t))

rewrite153.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`prod-diff_binary64`
603×	`fma-def_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`
238×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	335	48
2	4569	48

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

Outputs
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-8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 2) (.f64 t 2) (.f64 (.f64 t t) (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 t (sqrt.f64 (fma.f64 t -8 4)))) (hypot.f64 1 (.f64 t (sqrt.f64 (fma.f64 t -8 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (.f64 (fma.f64 t -8 4) (.f64 t t)) 3)) (/.f64 1 (fma.f64 (.f64 (fma.f64 t -8 4) (.f64 t t)) (fma.f64 (fma.f64 t -8 4) (.f64 t t) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (.f64 (pow.f64 t 4) (pow.f64 (fma.f64 t -8 4) 2))) (/.f64 1 (-.f64 1 (.f64 (fma.f64 t -8 4) (.f64 t t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 4) t (.f64 (.f64 t (.f64 t -8)) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 4) t (.f64 (.f64 t -8) (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 4) t (.f64 t (.f64 t (.f64 t -8))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 4) t 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(.f64 t 4) (sqrt.f64 t)) (sqrt.f64 t) (.f64 (.f64 t t) (.f64 t -8)))))))
((#(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 expm1.f64 (log1p.f64 (pow.f64 (.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (.f64 t 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 t 2) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t 4) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 t (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 t 4) 1) (.f64 (.f64 t (.f64 t -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 t (fma.f64 t -8 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 t 4) 3) (pow.f64 (.f64 t (.f64 t -8)) 3)) (fma.f64 (.f64 t 4) (.f64 t 4) (-.f64 (.f64 (.f64 t (.f64 t -8)) (.f64 t (.f64 t -8))) (.f64 (.f64 t 4) (.f64 t (.f64 t -8))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 t 4) (.f64 t 4)) (.f64 (.f64 t (.f64 t -8)) (.f64 t (.f64 t -8)))) (-.f64 (.f64 t 4) (.f64 t (.f64 t -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 t 3) -512 64) t) (fma.f64 (.f64 t -8) (fma.f64 t -8 -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (.f64 (.f64 t t) 64)) 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3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 t 3) (pow.f64 (fma.f64 t -8 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 t -8 4) 3) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 t (fma.f64 t -8 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t (fma.f64 t -8 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 t 4) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 t (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t 4 (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (.f64 t -8) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 t (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (.f64 t t) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t -8) t (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t t) -8 (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (.f64 t t) 64)) (.f64 (cbrt.f64 (.f64 t -8)) t) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) 4) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) 2) (.f64 (cbrt.f64 t) (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 t -8)) (.f64 (sqrt.f64 (.f64 t -8)) t) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) 4) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t 4) 1 (.f64 (.f64 t (.f64 t -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 t 4)) (cbrt.f64 (.f64 t 4))) (cbrt.f64 (.f64 t 4)) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 t (.f64 t -8))) (cbrt.f64 (.f64 t (.f64 t -8)))) (cbrt.f64 (.f64 t (.f64 t -8))) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 t 4)) (sqrt.f64 (.f64 t 4)) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 t (.f64 t -8))) (sqrt.f64 (.f64 t (.f64 t -8))) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 t) (sqrt.f64 (.f64 t -8))) (.f64 (sqrt.f64 t) (sqrt.f64 (.f64 t -8))) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 t -8)) (sqrt.f64 t)) (.f64 (sqrt.f64 (.f64 t -8)) (sqrt.f64 t)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (sqrt.f64 t)) (sqrt.f64 t) (.f64 t (.f64 t -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t (cbrt.f64 (.f64 (.f64 t t) 64))) (cbrt.f64 (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 t (sqrt.f64 (.f64 t -8))) (sqrt.f64 (.f64 t -8)) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 t -8) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (.f64 t 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 t -8) (sqrt.f64 t)) (sqrt.f64 t) (.f64 t 4))))))

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

977×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
526×	`associate-/l/_binary64`
456×	`times-frac_binary64`
276×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	483
1	91	469
2	210	447
3	568	411
4	1743	408
5	4318	408

Stop Event

1×	node limit

Counts

233 → 213

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

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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 (+.f64 5 (/.f64 -8 t)) (+.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 82 to 62 computations (24.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0ms	t	@	inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0ms	t	@	-inf	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
0.0ms	t	@	0	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
0.0ms	t	@	-inf	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log-prod_binary64`
324×	`log-div_binary64`
297×	`fma-def_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	329	41
2	4745	41

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))) 1)))) (#(struct:change #<rule 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2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))) (/.f64 (+.f64 5 (/.f64 -8 t)) (sqrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) (sqrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))) (/.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (sqrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 8 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 6))) (fma.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2) (-.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (-.f64 4 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 4))) (-.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 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t 1)) t) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 t t) (*.f64 (/.f64 1 (+.f64 t 1)) (*.f64 (/.f64 2 (+.f64 t 1)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2) 1 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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1)) t) 1) (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) (pow.f64 (cbrt.f64 (+.f64 t 1)) 2)) (/.f64 (+.f64 t t) (cbrt.f64 (+.f64 t 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (/.f64 (*.f64 4 (*.f64 t t)) (+.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 (/.f64 2 (+.f64 t 1)) t) (pow.f64 (cbrt.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t)) 2)) (cbrt.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t)) 2)))))

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

538×	`fma-def_binary64`
475×	`times-frac_binary64`
393×	`fma-neg_binary64`
329×	`associate-*r/_binary64`
321×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	292
1	167	288
2	409	283
3	1094	273
4	3208	273
5	7697	273

Stop Event

1×	node limit

Counts

113 → 117

Calls

Call 1

Inputs
(/.f64 -4 t)
(-.f64 5/2 (*.f64 4 (/.f64 1 t)))
(-.f64 (+.f64 5/2 (.f64 8 t)) (.f64 4 (/.f64 1 t)))
(-.f64 (+.f64 5/2 (+.f64 (.f64 -21 (pow.f64 t 2)) (.f64 8 t))) (*.f64 4 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.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 t)
(-.f64 5/2 (*.f64 4 (/.f64 1 t)))
(-.f64 5/2 (/.f64 4 t))
(+.f64 5/2 (/.f64 -4 t))
(-.f64 (+.f64 5/2 (.f64 8 t)) (.f64 4 (/.f64 1 t)))
(+.f64 5/2 (-.f64 (*.f64 t 8) (/.f64 4 t)))
(+.f64 5/2 (fma.f64 t 8 (/.f64 -4 t)))
(+.f64 (fma.f64 t 8 5/2) (/.f64 -4 t))
(-.f64 (+.f64 5/2 (+.f64 (.f64 -21 (pow.f64 t 2)) (.f64 8 t))) (*.f64 4 (/.f64 1 t)))
(+.f64 5/2 (-.f64 (fma.f64 -21 (.f64 t t) (.f64 t 8)) (/.f64 4 t)))
(+.f64 (fma.f64 t 8 (.f64 t (.f64 t -21))) (+.f64 5/2 (/.f64 -4 t)))
(+.f64 (fma.f64 t 8 (fma.f64 -21 (*.f64 t t) 5/2)) (/.f64 -4 t))
(+.f64 5/2 (fma.f64 t (fma.f64 t -21 8) (/.f64 -4 t)))
(fma.f64 t (fma.f64 t -21 8) (+.f64 5/2 (/.f64 -4 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 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t))))
(+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (-.f64 5/6 (/.f64 53/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 53/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t)))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 -2/9 t) (/.f64 53/27 (*.f64 t 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 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t))))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t))))
(+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (/.f64 -2/9 t) (-.f64 5/6 (/.f64 53/27 (*.f64 t t))))
(+.f64 5/6 (-.f64 (/.f64 -2/9 t) (/.f64 53/27 (*.f64 t t))))
(-.f64 (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 (.f64 53/27 (/.f64 1 (pow.f64 t 2))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 2/9 t) (/.f64 53/27 (*.f64 t t)))))
(+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (-.f64 5/6 (/.f64 53/27 (*.f64 t t))) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (-.f64 (/.f64 -2/9 t) (/.f64 53/27 (*.f64 t 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 t 4) 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 (fma.f64 4 (.f64 t t) 2) (.f64 (pow.f64 t 3) -8))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 2))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) 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 (pow.f64 t 3) -8 (fma.f64 12 (pow.f64 t 4) (.f64 t (.f64 t 4)))))
(+.f64 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))) (fma.f64 12 (pow.f64 t 4) 2))
(fma.f64 t (*.f64 t (fma.f64 t -8 4)) (fma.f64 12 (pow.f64 t 4) 2))
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 (+.f64 6 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 6 (/.f64 12 (*.f64 t t))) (/.f64 -8 t))
(-.f64 6 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))
(+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 12 (*.f64 t 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 (+.f64 6 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (+.f64 (/.f64 16 (pow.f64 t 3)) -6)))
(+.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 (/.f64 12 (*.f64 t 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 (+.f64 6 (/.f64 12 (*.f64 t t))) (/.f64 8 t))
(+.f64 6 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (+.f64 6 (/.f64 12 (*.f64 t t))) (/.f64 -8 t))
(-.f64 6 (-.f64 (/.f64 8 t) (/.f64 12 (*.f64 t t))))
(+.f64 (+.f64 6 (/.f64 -8 t)) (/.f64 12 (*.f64 t 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 (+.f64 6 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 6 (+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (+.f64 (/.f64 16 (pow.f64 t 3)) -6)))
(+.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -16 (pow.f64 t 3))))

eval802.0ms (5.7%)

Compiler: Compiled 30374 to 23861 computations (21.4% saved)

prune549.0ms (3.9%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	1254	7	1261
Fresh	5	4	9
Picked	1	0	1
Done	2	3	5
Total	1262	14	1276

Error

Counts

1276 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	27.0b	1/2
	32.4b	(fma.f64 t t 1/2)
	29.8b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
✓	30.2b	(+.f64 5/6 (/.f64 -2/9 t))
▶	16.0b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	31.9b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
▶	30.2b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
▶	15.5b	(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	25.6b	5/6
	33.0b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
▶	30.4b	(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
✓	31.1b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
	30.7b	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
✓	32.8b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 384 to 296 computations (22.9% saved)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 t 1) (*.f64 2 (/.f64 t (+.f64 t 1))))
✓	0.0b	(/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
	0.1b	(/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))
✓	14.9b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 144 to 98 computations (31.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
410×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
244×	`pow2_binary64`
188×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	199	26
2	2842	26

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

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

Outputs

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

simplify124.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
646×	`associate-/r*_binary64`
387×	`times-frac_binary64`
355×	`distribute-lft-out_binary64`
348×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	318
1	157	318
2	418	311
3	1224	298
4	3861	298

Stop Event

1×	node limit

Counts

145 → 149

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
911×	`add-log-exp_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	7
2	2388	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

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 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 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 (+.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)) (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 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 7/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (+.f64 (/.f64 -2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (-.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6)) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6))) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(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 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 expm1.f64 (log1p.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(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 exp.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(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 (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 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))))

simplify16.0ms (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

49 → 41

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))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
✓	0.0b	(-.f64 5/6 (/.f64 2/9 t))
✓	0.3b	(/.f64 2/9 t)
✓	0.4b	(/.f64 -1/27 (*.f64 t t))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

977×	`prod-diff_binary64`
501×	`log-prod_binary64`
342×	`fma-def_binary64`
233×	`log-div_binary64`
214×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	243	34
2	3480	32

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

Outputs
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-2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.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)))))))

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

611×	`distribute-neg-frac_binary64`
539×	`div-sub_binary64`
482×	`associate-/r*_binary64`
461×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	285
1	49	285
2	83	285
3	150	285
4	313	285
5	895	285
6	3831	273
7	7220	273

Stop Event

1×	node limit

Counts

263 → 239

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
✓	14.9b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 81 to 55 computations (32.1% 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 t 2))) (+.f64 2 (*.f64 4 (*.f64 t t))))

1.0ms

inf

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

0.0ms

-inf

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log-prod_binary64`
579×	`fma-def_binary64`
272×	`fma-neg_binary64`
266×	`expm1-udef_binary64`
266×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	342	26
2	4679	26

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

800×	`distribute-neg-frac_binary64`
670×	`fma-def_binary64`
415×	`times-frac_binary64`
377×	`distribute-rgt-neg-in_binary64`
349×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	185
1	94	179
2	236	177
3	618	177
4	1854	177
5	5808	177

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	0.0b	(/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	14.9b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 131 to 89 computations (32.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`fma-def_binary64`
377×	`fma-neg_binary64`
292×	`log1p-udef_binary64`
290×	`expm1-udef_binary64`
191×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	408	34
2	6163	34

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

simplify49.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
748×	`distribute-rgt-out_binary64`
699×	`associate-l_binary64`
483×	`associate-r_binary64`
352×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	140
1	89	134
2	211	134
3	529	132
4	1468	131
5	5907	127

Stop Event

1×	node limit

Counts

47 → 49

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
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))) (+.f64 5/6 (.f64 4/81 (/.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 (.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))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))

Outputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (+.f64 1/2 (pow.f64 t 4)) (*.f64 t t)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 t t (pow.f64 t 4))))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (pow.f64 t 4))))
(fma.f64 (*.f64 t t) (fma.f64 t -2 (fma.f64 t t 1)) 1/2)
(fma.f64 (pow.f64 t 3) (+.f64 t -2) (fma.f64 t t 1/2))
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 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 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) (/.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 (+.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 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 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 5/6 (/.f64 4/81 (pow.f64 t 3))) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (-.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (+.f64 (/.f64 4/81 (pow.f64 t 3)) (/.f64 -2/9 t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 5/6 (fma.f64 (/.f64 1 (*.f64 t t)) (+.f64 1/27 (/.f64 4/81 t)) (/.f64 -2/9 t)))

eval935.0ms (6.7%)

Compiler: Compiled 30922 to 23803 computations (23% saved)

prune402.0ms (2.9%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1101	3	1104
Fresh	1	5	6
Picked	1	0	1
Done	2	5	7
Total	1105	13	1118

Error

Counts

1118 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	27.0b	1/2
	32.4b	(fma.f64 t t 1/2)
	32.4b	(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
	29.8b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
	25.6b	5/6
	32.6b	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
	16.0b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	30.7b	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
✓	15.5b	(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
✓	30.4b	(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
✓	31.1b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
✓	30.2b	(+.f64 5/6 (/.f64 -2/9 t))
✓	30.2b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)

Compiler

Compiled 187 to 142 computations (24.1% saved)

regimes314.0ms (2.2%)

Counts

34 → 1

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.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))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
(/.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))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(fma.f64 t t 1/2)
(/.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))
(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)

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

Calls

7 calls:

34.0ms	(/.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)))))
31.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
30.0ms	t
24.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
23.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.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)))))`
0.0b	1	`(/.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)))))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 730 to 543 computations (25.6% saved)

regimes189.0ms (1.3%)

Counts

33 → 1

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.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))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
(/.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))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(fma.f64 t t 1/2)
(/.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))

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

Calls

7 calls:

54.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
22.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms	t
16.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
15.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.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)))))`
0.0b	1	`(/.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)))))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 703 to 522 computations (25.7% saved)

regimes124.0ms (0.9%)

Counts

32 → 1

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.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))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
(/.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))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))
(fma.f64 t t 1/2)
(/.f64 (-.f64 (pow.f64 (/.f64 -2/9 t) 2) 25/36) (-.f64 (/.f64 -2/9 t) 5/6))

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

Calls

7 calls:

28.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
14.0ms	t
14.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
12.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
8.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

Error	Segments	Branch
0.0b	1	`t`
0.0b	1	`(/.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)))))`
0.0b	1	`(/.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)))))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 678 to 503 computations (25.8% saved)

regimes62.0ms (0.4%)

Counts

28 → 3

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.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))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
(/.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))))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.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 t 2))))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.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)))))

Outputs

5/6

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

(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Calls

1 calls:

50.0ms

Results

Error	Segments	Branch
0.0b	3	`t`

Compiler

Compiled 471 to 344 computations (27% saved)

bsearch187.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	50553502.742709085	793307253.2849213
153.0ms	-6.257038870668207e+157	-7.439746828765878e+145

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes67.0ms (0.5%)

Counts

23 → 3

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 4/81 t))))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.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))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))))
(/.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))))))

Outputs

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

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

(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 310 to 225 computations (27.4% saved)

bsearch134.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
48.0ms	0.3917278794254961	3.7643949243983412
85.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes62.0ms (0.4%)

Counts

19 → 3

Calls

Call 1

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

Outputs
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))

Calls

1 calls:

56.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 202 to 146 computations (27.7% saved)

bsearch80.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.3917278794254961	3.7643949243983412
35.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes60.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))

Calls

1 calls:

23.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 120 to 88 computations (26.7% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.3917278794254961	3.7643949243983412
36.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes26.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 73 to 56 computations (23.3% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.3917278794254961	3.7643949243983412
38.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes23.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.8b	3	`t`

Compiler

Compiled 58 to 46 computations (20.7% saved)

bsearch75.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	2.5988283996482075e-12	0.3917278794254961
35.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes47.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

45.0ms

Results

Error	Segments	Branch
0.8b	3	`t`

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch69.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	0.3917278794254961	3.7643949243983412
35.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes131.0ms (0.9%)

Accuracy

Total -50.2b remaining (-4293.8%)

Threshold costs -50.2b (-4293.8%)

Counts

5 → 3

Calls

Call 1

Inputs
1/2
5/6
5/6
1/2
5/6

Outputs
5/6
1/2
5/6

Calls

1 calls:

130.0ms

Results

Error	Segments	Branch
1.2b	3	`t`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch89.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.3917278794254961	3.7643949243983412
35.0ms	-1043110319886.8457	-0.0948992421206353

Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
10×	`*-commutative_binary64`
4×	`sub-neg_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	566
1	141	566
2	152	566
3	156	566
4	158	566

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(if (<=.f64 t -62570388706682073577164904566587004108234949436511457399371223280751735130612526839554496787398709550421472106750698838952117249610057408581376646462882971648) 5/6 (if (<=.f64 t 3392588140284091/67108864) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t)))) (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 201074608197279/77371252455336267181195264) 1/2 (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -534072483782065/512) 5/6 (if (<=.f64 t 7056742127245195/18014398509481984) 1/2 5/6))
1/2

Outputs
(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2))
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))
(/.f64 (+.f64 1 (/.f64 (.f64 2 t) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (/.f64 (.f64 t 2) (/.f64 (+.f64 t 1) (.f64 2 (/.f64 t (+.f64 t 1)))))) (+.f64 2 (.f64 (/.f64 (.f64 t 2) (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1)))))
(if (<=.f64 t -62570388706682073577164904566587004108234949436511457399371223280751735130612526839554496787398709550421472106750698838952117249610057408581376646462882971648) 5/6 (if (<=.f64 t 3392588140284091/67108864) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))))
(if (<=.f64 t -62570388706682073577164904566587004108234949436511457399371223280751735130612526839554496787398709550421472106750698838952117249610057408581376646462882971648) 5/6 (if (<=.f64 t 3392588140284091/67108864) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 t 2) (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.f64 t 1)))))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 (.f64 t 2) (.f64 t (+.f64 2 (.f64 t (+.f64 (.f64 t 2) -2)))))) (+.f64 2 (.f64 4 (*.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 (+.f64 (/.f64 4/81 t) 1/27) t) t))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t)))) (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) (/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 4 (.f64 t t)))) (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 201074608197279/77371252455336267181195264) 1/2 (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 201074608197279/77371252455336267181195264) 1/2 (-.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -1/27 (*.f64 t t)))))
(if (<=.f64 t -534072483782065/512) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7056742127245195/18014398509481984) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -534072483782065/512) 5/6 (if (<=.f64 t 7056742127245195/18014398509481984) 1/2 5/6))
1/2

Compiler

Compiled 400 to 304 computations (24% saved)

soundness340.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1141×	`distribute-rgt-in_binary64`
1108×	`fma-def_binary64`
549×	`times-frac_binary64`
464×	`distribute-rgt-out_binary64`
460×	`associate-+l+_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	23	48
2	49	46
3	134	42
4	350	42
5	617	42
6	1048	42
7	2279	38
8	3249	36
9	4467	36
10	4818	36
11	5104	36
12	5154	36
13	6197	36

Stop Event

1×	node limit

Compiler

Compiled 2226 to 1718 computations (22.8% saved)

end300.0ms (2.1%)

Compiler: Compiled 389 to 288 computations (26% saved)