Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.5s (16.9%)

Results

1.5s

8256×

body

256

valid

preprocess100.0ms (1.1%)

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)

simplify86.0ms (1%)

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)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	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 36 to 28 computations (22.2% saved)

localize40.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.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)))

New

Error

Program

✓

0.0b

(/.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)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (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	57
1	258	57
2	3957	57

Stop Event

1×	node limit

Counts

3 → 134

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

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

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 t 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 4)) (/.f64 1 (-.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 t 1))) 2))) -1)))))

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

((#(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))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-neg_binary64`
495×	`distribute-lft-out_binary64`
472×	`distribute-rgt-out_binary64`
415×	`cancel-sign-sub-inv_binary64`
369×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	464
1	228	457
2	602	449
3	1710	441
4	4462	428

Stop Event

1×	node limit

Counts

170 → 178

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

eval346.0ms (3.9%)

Compiler: Compiled 15677 to 12343 computations (21.3% saved)

prune116.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	421	8	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	8	430

Error

Counts

430 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(/.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)))))
	26.6b	5/6
▶	31.7b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶	0.5b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (-.f64 (pow.f64 (hypot.f64 1 (.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)))
▶	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	30.5b	(/.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))))))
▶	30.3b	(/.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))))
	25.4b	1/2

Compiler

Compiled 288 to 226 computations (21.5% saved)

localize75.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 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)))
✓	0.5b	(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)
✓	1.5b	(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)

Compiler

Compiled 145 to 113 computations (22.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
374×	`exp-prod_binary64`
283×	`pow-prod-down_binary64`
264×	`pow2_binary64`
203×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	227	48
2	2978	40

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

Inputs
(-.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2) 1)
(pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1)))) 2)
(hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 t 1))))

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

Outputs

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

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

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

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

618×	`associate-/l/_binary64`
592×	`fma-neg_binary64`
466×	`fma-def_binary64`
349×	`associate-/r*_binary64`
293×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	870
1	339	712
2	1138	596
3	4769	545

Stop Event

1×	node limit

Counts

186 → 200

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)))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (.f64 8 (/.f64 1 t)))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
1
(+.f64 1 (*.f64 2 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 2 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 2)))))
(sqrt.f64 5)
(-.f64 (sqrt.f64 5) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2))))) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))))) (.f64 4 (/.f64 1 (*.f64 (sqrt.f64 5) t))))
(sqrt.f64 5)
(-.f64 (sqrt.f64 5) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2))))) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 16 (.f64 4 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))))) (.f64 4 (/.f64 1 (*.f64 (sqrt.f64 5) 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 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(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 12 t)))))
(+.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 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(fma.f64 -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 12 t))))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1)
4
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 12 (.f64 t t))) (fma.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (+.f64 1 (/.f64 8 t)))
(+.f64 (+.f64 (/.f64 12 (.f64 t t)) (-.f64 (.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) 5) 16) (pow.f64 t 3)))) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -176/25 (pow.f64 t 3)) (+.f64 (/.f64 224/25 (pow.f64 t 3)) (/.f64 8 t)))) 4)
(+.f64 (+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -224/25 (pow.f64 t 3)) (/.f64 -176/25 (pow.f64 t 3))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) 1)
(+.f64 (pow.f64 (sqrt.f64 5) 2) -1)
4
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (*.f64 8 (/.f64 1 t))))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 1 (/.f64 8 t)))
(+.f64 4 (/.f64 -8 t))
(-.f64 4 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (.f64 8 (/.f64 1 t))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (/.f64 8 t))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))
(+.f64 (-.f64 4 (/.f64 8 t)) (/.f64 12 (*.f64 t t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 1 (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3))))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 1 (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t))) (/.f64 -16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 (.f64 4 (.f64 t t)) 1)
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))) 1)
(+.f64 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.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 12 t))))))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (/.f64 8 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 12 (.f64 t t))) (fma.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t))
(+.f64 5 (+.f64 (/.f64 12 (.f64 t t)) (-.f64 (-.f64 (.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) 5) 16) (pow.f64 t 3))) (/.f64 8 t))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -176/25 (pow.f64 t 3)) (+.f64 (/.f64 224/25 (pow.f64 t 3)) (/.f64 8 t)))))
(+.f64 (+.f64 (+.f64 5 (/.f64 12 (*.f64 t t))) (/.f64 -176/25 (pow.f64 t 3))) (+.f64 (/.f64 -224/25 (pow.f64 t 3)) (/.f64 -8 t)))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 5 (/.f64 8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 5 (/.f64 8 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3)))))
(+.f64 5 (-.f64 (/.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 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (-.f64 5 (/.f64 8 t)) (/.f64 -16 (pow.f64 t 3))))
1
(+.f64 1 (*.f64 2 (pow.f64 t 2)))
(+.f64 1 (.f64 2 (.f64 t t)))
(fma.f64 2 (*.f64 t t) 1)
(fma.f64 t (*.f64 t 2) 1)
(+.f64 1 (+.f64 (.f64 -4 (pow.f64 t 3)) (.f64 2 (pow.f64 t 2))))
(+.f64 1 (fma.f64 -4 (pow.f64 t 3) (.f64 2 (.f64 t t))))
(+.f64 1 (fma.f64 2 (.f64 t t) (.f64 (pow.f64 t 3) -4)))
(fma.f64 t (*.f64 t 2) (fma.f64 (pow.f64 t 3) -4 1))
(+.f64 1 (+.f64 (.f64 4 (pow.f64 t 4)) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 2 (pow.f64 t 2)))))
(+.f64 1 (fma.f64 4 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 3) (.f64 2 (.f64 t t)))))
(+.f64 (fma.f64 4 (pow.f64 t 4) (.f64 (pow.f64 t 3) -4)) (fma.f64 2 (.f64 t t) 1))
(fma.f64 4 (pow.f64 t 4) (fma.f64 t (*.f64 t 2) (fma.f64 (pow.f64 t 3) -4 1)))
(+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 -4 (.f64 4 t))) 2)))
(sqrt.f64 5)
(-.f64 (sqrt.f64 5) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (sqrt.f64 5) (/.f64 4 (*.f64 t (sqrt.f64 5))))
(-.f64 (sqrt.f64 5) (/.f64 (/.f64 4 t) (sqrt.f64 5)))
(+.f64 (sqrt.f64 5) (/.f64 -4 (*.f64 t (sqrt.f64 5))))
(-.f64 (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2))))) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(+.f64 (sqrt.f64 5) (-.f64 (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5)))) (/.f64 4 (.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (+.f64 (/.f64 22/5 (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5)))))
(-.f64 (+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))))) (.f64 4 (/.f64 1 (*.f64 (sqrt.f64 5) t))))
(+.f64 (sqrt.f64 5) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))))) (/.f64 4 (.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (/.f64 (fma.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) 5) 16) (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5))))))
(+.f64 (sqrt.f64 5) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -112/25 (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (/.f64 -4 (.f64 t (sqrt.f64 5)))))
(+.f64 (/.f64 22/5 (.f64 t (.f64 t (sqrt.f64 5)))) (+.f64 (+.f64 (sqrt.f64 5) (/.f64 -112/25 (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (/.f64 -4 (.f64 t (sqrt.f64 5)))))
(sqrt.f64 5)
(-.f64 (sqrt.f64 5) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(-.f64 (sqrt.f64 5) (/.f64 4 (*.f64 t (sqrt.f64 5))))
(-.f64 (sqrt.f64 5) (/.f64 (/.f64 4 t) (sqrt.f64 5)))
(+.f64 (sqrt.f64 5) (/.f64 -4 (*.f64 t (sqrt.f64 5))))
(-.f64 (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2))))) (.f64 4 (/.f64 1 (.f64 (sqrt.f64 5) t))))
(+.f64 (sqrt.f64 5) (-.f64 (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5)))) (/.f64 4 (.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (+.f64 (/.f64 22/5 (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5)))))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (-.f64 16 (.f64 4 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (+.f64 (sqrt.f64 5) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))))) (.f64 4 (/.f64 1 (*.f64 (sqrt.f64 5) t))))
(+.f64 (sqrt.f64 5) (-.f64 (fma.f64 -1/2 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))))) (/.f64 4 (.f64 t (sqrt.f64 5)))))
(+.f64 (sqrt.f64 5) (+.f64 (.f64 -1/2 (/.f64 (fma.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) 5) 16) (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -4 (*.f64 t (sqrt.f64 5))))))
(+.f64 (sqrt.f64 5) (+.f64 (fma.f64 1/2 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t (.f64 t (sqrt.f64 5)))) (/.f64 -112/25 (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (/.f64 -4 (.f64 t (sqrt.f64 5)))))
(+.f64 (/.f64 22/5 (.f64 t (.f64 t (sqrt.f64 5)))) (+.f64 (+.f64 (sqrt.f64 5) (/.f64 -112/25 (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (/.f64 -4 (.f64 t (sqrt.f64 5)))))

localize5.0ms (0.1%)

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

63 → 55

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`prod-diff_binary64`
588×	`unpow-prod-down_binary64`
405×	`log-prod_binary64`
303×	`fma-def_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	192	18
2	2830	18

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/27 (pow.f64 (/.f64 1 (*.f64 t (neg.f64 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 t -2) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 1/27) 3) (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))) 2) 3) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 1/27) 2) (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/19683 1/3) (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 1/19683 (pow.f64 (pow.f64 t -2) 3))) 1/3) (pow.f64 (sqrt.f64 (*.f64 1/19683 (pow.f64 (pow.f64 t -2) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 1/27 (pow.f64 t -2)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 1/27 (pow.f64 t -2)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/729 (pow.f64 t 4)) 1/27) 1/3) (cbrt.f64 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/729 (pow.f64 t 4)) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4)))) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 1/729 (pow.f64 t 4)) (/.f64 (sqrt.f64 1/27) t)) 1/3) (cbrt.f64 (/.f64 (sqrt.f64 1/27) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 t t) 27)) 2) -1) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/27 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/729 (pow.f64 t 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/27) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/19683 (pow.f64 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 t t) 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 t t) 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/729 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/19683 (pow.f64 (pow.f64 t -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/27 (pow.f64 t -2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/729 (pow.f64 t 4)) (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t)) (/.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t)) (/.f64 1 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t)) (pow.f64 (/.f64 1 (pow.f64 t 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3)) (/.f64 1 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3)) (pow.f64 (/.f64 1 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2))) (/.f64 1 (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2))) (pow.f64 (/.f64 1 (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) (pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) 2) 3) (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 t 3) (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3)))) (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t) (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t)) (pow.f64 t 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3)) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3)) (fma.f64 4/81 (pow.f64 t -2) (-.f64 (/.f64 1/729 (pow.f64 t 4)) (/.f64 -2/243 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2))) (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t))) (neg.f64 (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3))) (neg.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2)))) (neg.f64 (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t (*.f64 (*.f64 (*.f64 t t) 27) -2/9)) (*.f64 (*.f64 (*.f64 t t) 27) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 t (*.f64 (*.f64 t (neg.f64 t)) -2/9)) (*.f64 (*.f64 t (neg.f64 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 1/27 t) t (*.f64 t -2/9)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (*.f64 t -9/2) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t -9/2 (*.f64 (*.f64 (*.f64 t t) 27) 1)) (*.f64 (*.f64 (*.f64 t t) 27) (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (*.f64 t -9/2) (*.f64 (*.f64 t (neg.f64 t)) 1)) (*.f64 (*.f64 t (neg.f64 t)) (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 1/27 t) (*.f64 t -9/2) t) (*.f64 t (*.f64 t -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (neg.f64 t) (*.f64 (*.f64 t t) 2/9)) (*.f64 (*.f64 t t) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1 t (*.f64 (*.f64 (*.f64 t t) 27) 2/9)) (*.f64 (*.f64 (*.f64 t t) 27) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -1/27 (neg.f64 t) (*.f64 (*.f64 t (neg.f64 t)) 2/9)) (*.f64 (*.f64 t (neg.f64 t)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (/.f64 1/27 t) (neg.f64 t) (*.f64 t 2/9)) (*.f64 t (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t t (*.f64 (*.f64 t -9/2) 1/27)) (*.f64 (*.f64 t -9/2) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 (*.f64 t t) (*.f64 (neg.f64 t) 1/27)) (*.f64 (neg.f64 t) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2/9 (*.f64 (*.f64 t t) 27) t) (*.f64 t (*.f64 (*.f64 t t) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 t t) 27 (*.f64 (*.f64 t -9/2) 1)) (*.f64 (*.f64 t -9/2) (*.f64 (*.f64 t t) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 (*.f64 (*.f64 t t) 27) (*.f64 (neg.f64 t) 1)) (*.f64 (neg.f64 t) (*.f64 (*.f64 t t) 27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2/9 (*.f64 t (neg.f64 t)) (*.f64 t -1/27)) (*.f64 t (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 t (neg.f64 t) (*.f64 (*.f64 t -9/2) -1/27)) (*.f64 (*.f64 t -9/2) (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 (*.f64 t (neg.f64 t)) (*.f64 (neg.f64 t) -1/27)) (*.f64 (neg.f64 t) (*.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -2/9 t (*.f64 t (/.f64 1/27 t))) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 t (*.f64 (*.f64 t -9/2) (/.f64 1/27 t))) (*.f64 (*.f64 t -9/2) t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 2/9 t (*.f64 (neg.f64 t) (/.f64 1/27 t))) (*.f64 t (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 1/729 (pow.f64 t 4))) (-.f64 (/.f64 -2/9 t) (*.f64 1/27 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t)) (*.f64 t t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 t 3) (fma.f64 t (*.f64 t -2/9) (*.f64 1/27 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -2/243 (pow.f64 t 3)))) (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 -2/9 t) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 1/27 t) -2/9) t) (-.f64 (/.f64 1/729 (pow.f64 t 4)) (*.f64 4/81 (pow.f64 t -2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))) (exp.f64 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 1/27) (pow.f64 t -2)) (+.f64 1 (expm1.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2)))) (+.f64 1 (expm1.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/9 t))) (pow.f64 (exp.f64 1/27) (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 -2/9 t)) (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -2/9 t))) (+.f64 1 (expm1.f64 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/27 (pow.f64 t -2)) 1 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -2/9 t) 1 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/27 (pow.f64 t -2)) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 1/729 (pow.f64 t 4))) (cbrt.f64 (*.f64 1/27 (pow.f64 t -2))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (*.f64 4/81 (pow.f64 t -2))) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/81 (pow.f64 t -2))) (cbrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 1/27) t) (/.f64 (sqrt.f64 1/27) t) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/27 (/.f64 1 (*.f64 t (neg.f64 t))) (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 1/27 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 (*.f64 1/27 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/27 t) (/.f64 1 t) (/.f64 -2/9 t))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

762×	`distribute-neg-frac_binary64`
588×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
383×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	216
1	32	216
2	55	216
3	99	216
4	224	216
5	718	216
6	3360	216
7	6232	216

Stop Event

1×	node limit

Counts

157 → 138

Calls

Call 1

Inputs
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(/.f64 1/27 (pow.f64 t 2))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(/.f64 -2/9 t)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 2/9 (/.f64 1 t)))

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

localize38.0ms (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 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.0b	(.f64 4 (.f64 t t))
✓	0.6b	(/.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

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

rewrite78.0ms (0.9%)

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	35
1	319	33
2	4714	33

Stop Event

1×	node limit

Counts

2 → 54

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))))
(.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))))))

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

589×	`times-frac_binary64`
365×	`associate-/l/_binary64`
344×	`fma-def_binary64`
310×	`associate-*l/_binary64`
303×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	291
1	104	289
2	260	285
3	708	285
4	2403	285
5	7117	285

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (+.f64 4 (.f64 t -8)))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
✓	0.2b	(/.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 115 to 85 computations (26.1% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	inf	(/.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))))))
1.0ms	t	@	inf	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
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 t (.f64 t (+.f64 4 (.f64 t -8))))))
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 t (.f64 t (+.f64 4 (.f64 t -8))))))
0.0ms	t	@	-inf	(.f64 t (+.f64 4 (.f64 t -8)))

rewrite124.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`fma-def_binary64`
334×	`expm1-udef_binary64`
334×	`log1p-udef_binary64`
285×	`fma-neg_binary64`
199×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	57
1	395	49
2	5845	49

Stop Event

1×	node limit

Counts

3 → 137

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 t (*.f64 t (+.f64 4 (*.f64 t -8))))))

(*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))

(*.f64 t (+.f64 4 (*.f64 t -8)))

Outputs

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

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

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

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
492×	`unswap-sqr_binary64`
447×	`associate-*l/_binary64`
347×	`fma-def_binary64`
334×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	471
1	125	467
2	316	447
3	861	411
4	3275	411

Stop Event

1×	node limit

Counts

173 → 164

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 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (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 (.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 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 (*.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 (fma.f64 (*.f64 t t) -2 t) 1/2)
(+.f64 (.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 4)) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (fma.f64 4 (pow.f64 t 4) (*.f64 t t))))
(+.f64 (fma.f64 -2 (pow.f64 t 3) (fma.f64 t t 1/2)) (*.f64 4 (pow.f64 t 4)))
(fma.f64 -2 (pow.f64 t 3) (fma.f64 t t (fma.f64 4 (pow.f64 t 4) 1/2)))
(fma.f64 t (fma.f64 (*.f64 t t) -2 t) (fma.f64 4 (pow.f64 t 4) 1/2))
(fma.f64 t t (fma.f64 -2 (pow.f64 t 3) (fma.f64 4 (pow.f64 t 4) 1/2)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3))) (/.f64 -37/32 (pow.f64 t 5)))
(-.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 -11/16 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 81/64 (pow.f64 t 6)) (-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))) (/.f64 81/64 (pow.f64 t 6)))
(+.f64 (-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 -11/16 (pow.f64 t 4)))) (/.f64 81/64 (pow.f64 t 6)))
(/.f64 -5/8 (pow.f64 t 3))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 5/8 (/.f64 1 (pow.f64 t 3))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3)))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 -5/8 (pow.f64 t 3)))
(-.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (*.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3))) (/.f64 -37/32 (pow.f64 t 5)))
(-.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 -11/16 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 11/16 (/.f64 1 (pow.f64 t 4))) (.f64 81/64 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 37/32 (/.f64 1 (pow.f64 t 5))) (.f64 5/8 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 81/64 (pow.f64 t 6))) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5))))
(+.f64 (/.f64 81/64 (pow.f64 t 6)) (-.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 37/32 (pow.f64 t 5)))))
(+.f64 (+.f64 (/.f64 11/16 (pow.f64 t 4)) (+.f64 (/.f64 -5/8 (pow.f64 t 3)) (/.f64 -37/32 (pow.f64 t 5)))) (/.f64 81/64 (pow.f64 t 6)))
(+.f64 (-.f64 (/.f64 11/16 (pow.f64 t 4)) (/.f64 5/8 (pow.f64 t 3))) (+.f64 (/.f64 81/64 (pow.f64 t 6)) (/.f64 -37/32 (pow.f64 t 5))))
(+.f64 (-.f64 (/.f64 -37/32 (pow.f64 t 5)) (+.f64 (/.f64 5/8 (pow.f64 t 3)) (/.f64 -11/16 (pow.f64 t 4)))) (/.f64 81/64 (pow.f64 t 6)))
(*.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 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))

eval881.0ms (9.9%)

Compiler: Compiled 27381 to 21408 computations (21.8% saved)

prune161.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	968	6	974
Fresh	1	2	3
Picked	1	0	1
Done	2	2	4
Total	972	10	982

Error

Counts

982 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.7b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	28.2b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	15.3b	(/.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)))))
▶	31.0b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 4 (*.f64 t t))))
▶	31.5b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	26.6b	5/6
▶	30.5b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
	25.4b	1/2
▶	0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) 2) 1) 1)))

Compiler

Compiled 294 to 230 computations (21.8% saved)

localize49.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.0b	(pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2)
✓	1.5b	(-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2) 1) 1)

Compiler

Compiled 130 to 103 computations (20.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite115.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

490×	`log-prod_binary64`
399×	`fma-def_binary64`
340×	`prod-diff_binary64`
290×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	236	26
2	3374	26

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

Outputs

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

743×	`distribute-neg-frac_binary64`
549×	`associate-/r*_binary64`
381×	`fma-def_binary64`
334×	`times-frac_binary64`
294×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	336
1	101	336
2	253	330
3	715	318
4	2205	318
5	5940	318

Stop Event

1×	node limit

Counts

214 → 118

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.3b	(/.f64 -2/9 t)
✓	1.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (1.1%)

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	23
1	216	11
2	3083	11

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.6%)

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	117
1	20	117
2	31	117
3	47	117
4	62	117
5	80	117
6	98	117
7	113	117
8	120	117

Stop Event

1×

saturated

Counts

188 → 167

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)))

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))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 t t))
✓	14.8b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 42 to 24 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	218	18
2	2866	18

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

784×	`distribute-neg-frac_binary64`
611×	`times-frac_binary64`
388×	`associate-/l/_binary64`
285×	`unswap-sqr_binary64`
268×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	159
1	87	157
2	212	153
3	563	153
4	2140	153
5	6512	153

Stop Event

1×	node limit

Counts

57 → 59

Calls

Call 1

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

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

localize53.0ms (0.6%)

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))))
✓	19.8b	(/.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)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite65.0ms (0.7%)

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	28
1	335	22
2	4569	22

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

889×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
561×	`associate-/r*_binary64`
525×	`associate-/l/_binary64`
456×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	75	121
2	175	117
3	469	117
4	1423	114
5	3867	114

Stop Event

1×	node limit

Counts

47 → 50

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))))

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

localize100.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
	0.0b	(.f64 4 (.f64 t t))
✓	14.3b	(/.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)

series5.0ms (0.1%)

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 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	inf	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
1.0ms	t	@	0	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))

rewrite111.0ms (1.2%)

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	47
1	342	39
2	4679	39

Stop Event

1×	node limit

Counts

2 → 74

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

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))))))

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

simplify135.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
461×	`times-frac_binary64`
385×	`fma-neg_binary64`
339×	`associate-*r/_binary64`
338×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	335
1	152	329
2	406	323
3	1146	316
4	3558	316

Stop Event

1×	node limit

Counts

98 → 104

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

eval931.0ms (10.4%)

Compiler: Compiled 26431 to 20537 computations (22.3% saved)

prune141.0ms (1.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1014	3	1017
Fresh	0	3	3
Picked	1	0	1
Done	3	3	6
Total	1018	9	1027

Error

Counts

1027 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.3b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2) 1) 1)))
✓	31.7b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	28.2b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
▶	15.3b	(/.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)))))
	26.6b	5/6
▶	31.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
▶	31.0b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
	25.4b	1/2

Compiler

Compiled 132 to 103 computations (22% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

rewrite63.0ms (0.7%)

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)))))

simplify13.0ms (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))

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 t t))
✓	14.2b	(/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))
✓	14.3b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 70 to 45 computations (35.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`log-prod_binary64`
530×	`fma-def_binary64`
277×	`fma-neg_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	41
1	320	39
2	4342	37

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-def_binary64`
461×	`times-frac_binary64`
385×	`fma-neg_binary64`
339×	`associate-*r/_binary64`
338×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	335
1	152	329
2	406	323
3	1146	316
4	3558	316

Stop Event

1×	node limit

Counts

125 → 131

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

localize96.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	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)))
	0.0b	(.f64 4 (.f64 t t))
✓	14.2b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 131 to 89 computations (32.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (1.1%)

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

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

((#(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))))))

simplify81.0ms (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)))))

localize122.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2)
	0.0b	(.f64 4 (.f64 t t))
	1.5b	(-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2) 1) 1)
	14.2b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 145 to 105 computations (27.6% saved)

eval562.0ms (6.3%)

Compiler: Compiled 20267 to 15397 computations (24% saved)

prune114.0ms (1.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	658	1	659
Fresh	0	2	2
Picked	0	1	1
Done	1	5	6
Total	659	9	668

Error

Counts

668 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.3b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (-.f64 (+.f64 (pow.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) 2) 1) 1)))
✓	31.7b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
	15.3b	(/.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))))
✓	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	28.2b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	26.6b	5/6
✓	31.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	31.0b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
	25.4b	1/2

Compiler

Compiled 130 to 100 computations (23.1% saved)

regimes48.0ms (0.5%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

6 calls:

10.0ms	t
9.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
7.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
5.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
3.0ms	(/.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)))))

Results

Error	Segments	Branch
0b	1	`t`
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)))))`
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)))))`
0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0b	1	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 474 to 357 computations (24.7% saved)

regimes44.0ms (0.5%)

Counts

17 → 1

Calls

Call 1

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

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)))))

Calls

4 calls:

10.0ms	t
10.0ms	(/.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)))))
8.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
5.0ms	(.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 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.0b	1	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 356 to 263 computations (26.1% saved)

regimes48.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

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

(/.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))))

5/6

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
0.0b	3	`t`

Compiler

Compiled 230 to 166 computations (27.8% saved)

bsearch130.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
63.0ms	3.1710368597451677e-15	5.3163921143357934e+29
65.0ms	-15267164.822466873	-9966084.853204826

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes52.0ms (0.6%)

Counts

13 → 3

Calls

Call 1

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

Calls

1 calls:

44.0ms

Results

Error	Segments	Branch
0.1b	3	`t`

Compiler

Compiled 166 to 121 computations (27.1% saved)

bsearch128.0ms (1.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	3.1710368597451677e-15	5.3163921143357934e+29
66.0ms	-9966084.853204826	-0.002751823897332857

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes36.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

30.0ms

Results

Error	Segments	Branch
0.1b	3	`t`

Compiler

Compiled 53 to 40 computations (24.5% saved)

bsearch95.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	3.1710368597451677e-15	5.3163921143357934e+29
34.0ms	-9966084.853204826	-0.002751823897332857

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes16.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.1b	3	`t`

Compiler

Compiled 38 to 31 computations (18.4% saved)

bsearch157.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	3.1710368597451677e-15	5.3163921143357934e+29
74.0ms	-9966084.853204826	-0.002751823897332857

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes32.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
0.2b	3	`t`

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch144.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	3.1710368597451677e-15	5.3163921143357934e+29
85.0ms	-9966084.853204826	-0.002751823897332857

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes53.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2

Outputs
5/6
1/2
5/6

Calls

1 calls:

52.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch115.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	3.1710368597451677e-15	5.3163921143357934e+29
64.0ms	-9966084.853204826	-0.002751823897332857

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
5/6
5/6

Outputs
5/6

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
26.6b	1	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
4×	`*-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	351
1	82	351
2	83	351

Stop Event

1×	fuel
1×	saturated

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 (pow.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) 2) 1) 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)))))
(if (<=.f64 t -65571973615136864/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.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)))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (*.f64 t t)))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (*.f64 t t)))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -42804008513675688/4294967296) 5/6 (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
5/6

Outputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (-.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) 2) 1) 1)))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 (+.f64 1 (pow.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) 2)) -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)))))
(if (<=.f64 t -65571973615136864/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.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)))) 5/6))
(if (<=.f64 t -2049124175473027/134217728) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 (.f64 t t) 4) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (.f64 (*.f64 t t) 4) (+.f64 1 t)) (+.f64 1 t)))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (*.f64 t t)))) 5/6))
(if (<=.f64 t -5350501064209461/536870912) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 (*.f64 t t) 4))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (*.f64 t t)))) 5/6))
(if (<=.f64 t -5350501064209461/536870912) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) (/.f64 (+.f64 1 (.f64 (.f64 t t) 4)) (+.f64 2 (.f64 (*.f64 t t) 4))) 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -5350501064209461/536870912) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -42804008513675688/4294967296) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -5350501064209461/536870912) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -42804008513675688/4294967296) 5/6 (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
(if (<=.f64 t -5350501064209461/536870912) 5/6 (if (<=.f64 t 8039533557203603/2535301200456458802993406410752) 1/2 5/6))
5/6

Compiler

Compiled 250 to 189 computations (24.4% saved)

soundness0.0ms (0%)

end120.0ms (1.3%)

Compiler: Compiled 242 to 178 computations (26.4% saved)