Details

analyze8.0ms (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)

sample2.0s (16.3%)

Results

2.0s

8256×

body

256

valid

preprocess127.0ms (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)

simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.0b

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

▶

0.0b

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

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize69.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Counts

4 → 48

Calls

12 calls:

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

rewrite112.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify78.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	614
1	255	605
2	669	594
3	1905	585
4	4779	572

Stop Event

1×	node limit

Counts

233 → 243

Calls

Call 1

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

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

localize63.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 78 to 59 computations (24.4% saved)

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite98.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

201 → 202

Calls

Call 1

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

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

eval909.0ms (7.5%)

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

prune160.0ms (1.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	795	13	808
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	796	14	810

Error

Counts

810 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	25.3b	5/6
▶	16.8b	(/.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)))))
	29.9b	(/.f64 (+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	32.5b	(/.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))))
▶	0.0b	(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)
✓	0.0b	(/.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)))))
	29.6b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (+.f64 6 (/.f64 -8 t)))
▶	29.7b	(+.f64 5/6 (/.f64 -2/9 t))
▶	32.6b	(/.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))))))
	27.4b	1/2
▶	29.8b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	33.4b	(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
	33.0b	(fma.f64 t t 1/2)
	29.8b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))

Compiler

Compiled 492 to 382 computations (22.4% saved)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 104 to 79 computations (24% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

542×	`associate-/l/_binary64`
518×	`distribute-lft-out_binary64`
412×	`distribute-rgt-out_binary64`
406×	`associate-/l*_binary64`
371×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	567
1	229	559
2	589	554
3	1677	551
4	4357	551

Stop Event

1×	node limit

Counts

216 → 217

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (/.f64 -2/9 t))
✓	0.4b	(/.f64 -2/9 t)

Compiler

Compiled 12 to 9 computations (25% saved)

series10.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	t	@	0	(/.f64 -2/9 t)
0.0ms	t	@	inf	(/.f64 -2/9 t)
0.0ms	t	@	0	(+.f64 5/6 (/.f64 -2/9 t))
0.0ms	t	@	-inf	(/.f64 -2/9 t)
0.0ms	t	@	inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite87.0ms (0.7%)

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)))))

simplify113.0ms (0.9%)

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))

localize58.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.2b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

Compiler

Compiled 82 to 62 computations (24.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite114.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (-.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))) (/.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 4) (-.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))) (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))) 2) (cbrt.f64 (+.f64 2 (pow.f64 (*.f64 (/.f64 2 (+.f64 t 1)) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 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simplify84.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

113 → 117

Calls

Call 1

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

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

localize159.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
2.0ms	t	@	inf	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
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 t (.f64 t (+.f64 4 (.f64 t -8))))))
1.0ms	t	@	-inf	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
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 t (.f64 t (+.f64 4 (.f64 t -8))))))

rewrite153.0ms (1.3%)

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	47
1	395	41
2	5845	41

Stop Event

1×	node limit

Counts

2 → 86

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))))

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))) 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(/.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 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(#(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 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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)))))))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
492×	`unswap-sqr_binary64`
451×	`associate-*l/_binary64`
345×	`fma-def_binary64`
332×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	354
1	117	350
2	308	339
3	857	321
4	3241	321

Stop Event

1×	node limit

Counts

110 → 106

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)))

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

localize92.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 131 to 89 computations (32.1% saved)

series80.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
75.0ms	t	@	0	(/.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)))))
1.0ms	t	@	0	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))
1.0ms	t	@	inf	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))
1.0ms	t	@	-inf	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))

rewrite195.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	408	60
2	6162	60

Stop Event

1×	node limit

Counts

3 → 170

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))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)))) 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) (*.f64 t t))))))) (#(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 t (*.f64 2 (/.f64 (*.f64 t 2) (+.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 (/.f64 4 (+.f64 t 1)) (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 t (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 t 2) (/.f64 (*.f64 t 2) (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) (*.f64 t 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2) (*.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (*.f64 t 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))) 2) (cbrt.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 t 2)) 2) (*.f64 (cbrt.f64 (*.f64 t 2)) (/.f64 (*.f64 t 2) (+.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 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (sqrt.f64 (*.f64 t 2))) (*.f64 (sqrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) (sqrt.f64 (*.f64 t 2))))))) (#(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 (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)) (-.f64 1 (*.f64 t t))) (-.f64 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 *.f64 (*.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 t 2) (pow.f64 (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))) 2)) (cbrt.f64 (/.f64 (*.f64 t 2) (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 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(#(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 16 (pow.f64 t 4)) (pow.f64 (+.f64 t 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 4 (*.f64 t t)) 3) (pow.f64 (+.f64 t 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 t 2) 3) (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 3) (pow.f64 (*.f64 t 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (*.f64 t 2) (+.f64 t 1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (*.f64 (/.f64 1 (+.f64 t 1)) (/.f64 1 (+.f64 t 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (pow.f64 (/.f64 1 (+.f64 t 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (*.f64 t t)) (/.f64 1 (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 (/.f64 4 (+.f64 t 1)) (*.f64 t t)) (/.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 (*.f64 t 2) (*.f64 (/.f64 1 (+.f64 t 1)) (/.f64 (*.f64 t 2) (+.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)))))) 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simplify117.0ms (1%)

Algorithm

1×	egg-herbie

Rules

489×	`times-frac_binary64`
436×	`distribute-rgt-out_binary64`
433×	`distribute-lft-out_binary64`
427×	`fma-neg_binary64`
366×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	458
1	219	452
2	581	441
3	1654	437
4	4094	437

Stop Event

1×	node limit

Counts

206 → 212

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

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

eval1.2s (9.6%)

Compiler: Compiled 37863 to 29587 computations (21.9% saved)

prune237.0ms (2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1256	13	1269
Fresh	6	2	8
Picked	1	0	1
Done	4	1	5
Total	1267	16	1283

Error

Counts

1283 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.7b	(+.f64 5/6 (/.f64 -2/9 t))
	33.2b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
▶	29.7b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	33.0b	(fma.f64 t t 1/2)
▶	16.8b	(/.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))))
	29.9b	(/.f64 (+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
	31.4b	(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
▶	33.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
▶	25.1b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
	29.8b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
	29.8b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
	27.4b	1/2
▶	0.0b	(/.f64 1 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1)))
	25.3b	5/6
	33.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	32.5b	(pow.f64 (+.f64 2 (.f64 (.f64 t t) (+.f64 -4 (.f64 t (+.f64 8 (.f64 4 t)))))) -1)

Compiler

Compiled 532 to 407 computations (23.5% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 105 to 80 computations (23.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`log-prod_binary64`
632×	`prod-diff_binary64`
342×	`fma-def_binary64`
258×	`log1p-udef_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	301	72
2	4197	72

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs

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

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

Outputs

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

753×	`fma-neg_binary64`
605×	`fma-def_binary64`
496×	`times-frac_binary64`
331×	`associate-/l/_binary64`
293×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	54	288
1	149	280
2	372	278
3	1027	270
4	3052	270
5	7067	262

Stop Event

1×	node limit

Counts

106 → 110

Calls

Call 1

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

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

localize11.0ms (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))
	0.4b	(/.f64 -2/9 t)
✓	1.8b	(-.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 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
0.0ms	t	@	inf	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

rewrite64.0ms (0.5%)

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 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(#(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)))))

simplify15.0ms (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	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))

localize26.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))

Compiler

Compiled 29 to 23 computations (20.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	215	16
2	2920	16

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) -2)) (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) (*.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) (sqrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (*.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (/.f64 1 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -8 t)) -5) (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (/.f64 -8 t)) -5) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) (+.f64 5 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 -8 t) 6)) (pow.f64 (/.f64 1 (+.f64 5 (/.f64 -8 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) 1) (/.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) 1) (/.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) -2) (/.f64 (+.f64 5 (/.f64 -8 t)) (cbrt.f64 (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) 1) 1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 5 (/.f64 -8 t))) (+.f64 (/.f64 -8 t) 6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) -2) 1) (pow.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2)) 1) (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 5 (/.f64 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-8 t)) (+.f64 (/.f64 -8 t) 6)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t)))) 2) -1) (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) (+.f64 5 (/.f64 -8 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (+.f64 5 (/.f64 -8 t))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) -2) -1) (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2) (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (pow.f64 (cbrt.f64 (+.f64 5 (/.f64 -8 t))) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (cbrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) -1/2) -1) (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) 2) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 (/.f64 -8 t) 6)) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) -1) (pow.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 -8 t) 6)) (sqrt.f64 (+.f64 5 (/.f64 -8 t)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (fma.f64 -512 (pow.f64 t -3) 125)) -1) (/.f64 1 (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 5) 25)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (-.f64 25 (/.f64 64 (*.f64 t t)))) -1) (/.f64 1 (-.f64 5 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 3) (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 -8 t) 6) (+.f64 5 (/.f64 -8 t))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 5 (/.f64 -8 t)) 3) (pow.f64 (+.f64 (/.f64 -8 t) 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 (/.f64 -8 t) 6))) 1))))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

733×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
517×	`associate-l_binary64`
502×	`associate-/r*_binary64`
338×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	137
1	93	135
2	233	135
3	655	129
4	1960	126
5	6846	126

Stop Event

1×	node limit

Counts

82 → 84

Calls

Call 1

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

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

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
✓	0.1b	(.f64 t (+.f64 (.f64 t 12) -8))
✓	0.1b	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
✓	25.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))

Compiler

Compiled 124 to 87 computations (29.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
0.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
0.0ms	t	@	inf	(.f64 t (+.f64 (.f64 t 12) -8))
0.0ms	t	@	inf	(.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))
0.0ms	t	@	-inf	(.f64 t (+.f64 (.f64 t 12) -8))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`fma-neg_binary64`
397×	`expm1-udef_binary64`
397×	`log1p-udef_binary64`
236×	`add-sqr-sqrt_binary64`
228×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	59
1	469	53
2	6684	53

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))

(*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))

(*.f64 t (+.f64 (*.f64 t 12) -8))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t t) 4) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 1) (*.f64 (*.f64 (*.f64 t t) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) 3) (pow.f64 (*.f64 (*.f64 t t) 4) 3)) (+.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (-.f64 (*.f64 (*.f64 (*.f64 t t) 4) (*.f64 (*.f64 t t) 4)) (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (*.f64 t t) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3))) (*.f64 (*.f64 (*.f64 t t) 4) (*.f64 (*.f64 t t) 4))) (-.f64 (*.f64 (fma.f64 t 12 -8) (pow.f64 t 3)) (*.f64 (*.f64 t t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3)) (*.f64 t t)) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) (-.f64 16 (*.f64 t (*.f64 (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) -16) (*.f64 t t)) (fma.f64 t (fma.f64 t 12 -8) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) (-.f64 16 (*.f64 t (*.f64 (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 t t) (+.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2) -16)) (fma.f64 t (fma.f64 t 12 -8) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 t (fma.f64 t 12 -8) 4) 2) (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t t) (*.f64 t (fma.f64 t 12 -8)) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t (fma.f64 t 12 -8)) (*.f64 t t) (*.f64 (*.f64 t t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1)) 2) (cbrt.f64 (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) (hypot.f64 1 (*.f64 t (sqrt.f64 (fma.f64 t (fma.f64 t 12 -8) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))) (fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 12 -8) 4) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (pow.f64 (fma.f64 t (fma.f64 t 12 -8) 4) 2) (pow.f64 t 4))) (/.f64 1 (-.f64 1 (*.f64 t (*.f64 t (fma.f64 t (fma.f64 t 12 -8) 4))))) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t -8) (*.f64 t (*.f64 t 12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 t (*.f64 t 12)) 1) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 t (*.f64 t 12)) 3) (pow.f64 (*.f64 t -8) 3)) (+.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (-.f64 (*.f64 (*.f64 t t) 64) (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t 12)) (*.f64 t (*.f64 t 12))) (*.f64 (*.f64 t t) 64)) (fma.f64 t (*.f64 t 12) (neg.f64 (*.f64 t -8))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -512 (pow.f64 (*.f64 t 12) 3)) t) (-.f64 (+.f64 (*.f64 (*.f64 t t) 144) 64) (*.f64 t -96)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 (*.f64 t t) 144 -64) t) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (+.f64 -512 (pow.f64 (*.f64 t 12) 3))) (-.f64 (+.f64 (*.f64 (*.f64 t t) 144) 64) (*.f64 t -96)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 t (fma.f64 (*.f64 t t) 144 -64)) (fma.f64 t 12 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 t (fma.f64 t 12 -8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 t (fma.f64 t 12 -8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 t (fma.f64 t 12 -8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 t) (fma.f64 t 12 -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 t (fma.f64 t 12 -8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 t (fma.f64 t 12 -8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 t (fma.f64 t 12 -8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 t (*.f64 t 12) (*.f64 t -8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t 12) t (*.f64 t -8))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
496×	`times-frac_binary64`
454×	`fma-neg_binary64`
435×	`fma-def_binary64`
322×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	441
1	116	425
2	271	407
3	727	363
4	2341	363
5	4937	363

Stop Event

1×	node limit

Counts

126 → 122

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

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 99 to 63 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`prod-diff_binary64`
451×	`fma-def_binary64`
319×	`log-div_binary64`
289×	`fma-neg_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	300	41
2	4475	41

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
741×	`associate-/l*_binary64`
721×	`associate-r_binary64`
386×	`associate-/r/_binary64`
345×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	224
1	91	218
2	217	218
3	546	216
4	1522	215
5	5427	211

Stop Event

1×	node limit

Counts

72 → 64

Calls

Call 1

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

eval969.0ms (8%)

Compiler: Compiled 34387 to 26200 computations (23.8% saved)

prune176.0ms (1.5%)

Pruning

17 alts after pruning (13 fresh and 4 done)

	Pruned	Kept	Total
New	1181	8	1189
Fresh	5	5	10
Picked	0	1	1
Done	2	3	5
Total	1188	17	1205

Error

Counts

1205 → 17

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.7b	(+.f64 5/6 (/.f64 -2/9 t))
▶	29.3b	(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
▶	31.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
✓	16.8b	(/.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))))
▶	29.8b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
▶	30.2b	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
▶	29.7b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
	33.0b	(fma.f64 t t 1/2)
	29.6b	(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
✓	0.0b	(/.f64 1 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1)))
	25.3b	5/6
✓	33.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	29.8b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
	27.4b	1/2
	33.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	33.2b	(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	32.5b	(pow.f64 (+.f64 2 (.f64 (.f64 t t) (+.f64 -4 (.f64 t (+.f64 8 (.f64 4 t)))))) -1)

Compiler

Compiled 420 to 325 computations (22.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))))
✓	0.1b	(/.f64 8/25 t)
✓	0.2b	(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
✓	0.5b	(/.f64 4/125 (*.f64 t t))

Compiler

Compiled 50 to 31 computations (38% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 4/125 (*.f64 t t))
0.0ms	t	@	0	(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
0.0ms	t	@	0	(/.f64 8/25 t)
0.0ms	t	@	inf	(/.f64 4/125 (*.f64 t t))
0.0ms	t	@	inf	(/.f64 8/25 t)

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
415×	`fma-def_binary64`
351×	`pow2_binary64`
282×	`log-div_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	285	42
2	4066	42

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(/.f64 4/125 (*.f64 t t))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 8/25 t)
(+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 4/125 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 4/125 (pow.f64 t -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4/125 (pow.f64 t -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4/125 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 4/125 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 4/125 (pow.f64 t -2))) (cbrt.f64 (/.f64 16/15625 (pow.f64 t 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 16/15625 (pow.f64 t 4))) (cbrt.f64 (.f64 4/125 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 4/125) t) (/.f64 (sqrt.f64 4/125) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4/125 (/.f64 1 (.f64 t (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 t -2) 4/125)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4/125 t) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 4/125 (pow.f64 t -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 4/125 (pow.f64 t -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 4/125) t) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 64/1953125 (pow.f64 (pow.f64 t -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 t t) 125/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (.f64 t t) 125/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16/15625 (pow.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 4/125 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 64/1953125 (pow.f64 (pow.f64 t -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 4/125 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 4/125 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 4/125 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 4/125 (pow.f64 t -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -1/2) (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (neg.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 216/125 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 3))) (fma.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) (-.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 6/5) 36/25))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 36/25 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 2))) (-.f64 6/5 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 2)) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 8/25 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 8/25 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/25 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 8/25 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 8/25 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8/25 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8/25 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 8/25 t)) (pow.f64 (cbrt.f64 (/.f64 8/25 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 8/25 t)) 2) (cbrt.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 8/25 t)) (sqrt.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -8/25 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) 8/25)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 8/25 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 8/25 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 8/25 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 8/25 t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 25/8) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 t 25/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 64/625 (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 8/25 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 8/25 t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 8/25 t)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 36/25 (-.f64 6/5 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)))) (/.f64 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 2) (-.f64 6/5 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 2) (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) (sqrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 216/125 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 3)) (/.f64 1 (fma.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) (-.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 6/5) 36/25)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 36/25 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 2)) (/.f64 1 (-.f64 6/5 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) (-.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 6/5) 36/25) (+.f64 216/125 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 6/5 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) (-.f64 36/25 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 2) (/.f64 1 (cbrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 216/125 (pow.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 3)) (fma.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 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(+.f64 1 (expm1.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 4/125) (pow.f64 t -2)) (exp.f64 (+.f64 6/5 (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 4/125 (pow.f64 t -2)))) (exp.f64 (+.f64 6/5 (/.f64 8/25 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (+.f64 6/5 (/.f64 8/25 t))) (+.f64 1 (expm1.f64 (.f64 4/125 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4/125 (pow.f64 t -2) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4/125 (pow.f64 t -2)) 1 (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 4/125 (pow.f64 t -2)) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 8/25 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 6/5 (/.f64 8/25 t)) (.f64 4/125 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 8/25 (/.f64 1 t) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 8/25 t) 1 (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t)) 1 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 4/125 (pow.f64 t -2))) (cbrt.f64 (/.f64 16/15625 (pow.f64 t 4))) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 16/15625 (pow.f64 t 4))) (cbrt.f64 (.f64 4/125 (pow.f64 t -2))) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 8/25 t)) (pow.f64 (cbrt.f64 (/.f64 8/25 t)) 2) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 8/25 t)) 2) (cbrt.f64 (/.f64 8/25 t)) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) (pow.f64 (cbrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) 2) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) 2) (cbrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 4/125) t) (/.f64 (sqrt.f64 4/125) t) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 8/25 t)) (sqrt.f64 (/.f64 8/25 t)) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) (sqrt.f64 (fma.f64 4/125 (pow.f64 t -2) (/.f64 8/25 t))) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4/125 (/.f64 1 (.f64 t (neg.f64 t))) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8/25 (/.f64 1 (neg.f64 t)) (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 4/125 t (.f64 (.f64 t t) 8/25)) (/.f64 1 (pow.f64 t 3)) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 64/1953125 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (/.f64 8/25 t) 3)) (/.f64 1 (-.f64 (+.f64 (/.f64 64/625 (.f64 t t)) (/.f64 16/15625 (pow.f64 t 4))) (/.f64 32/3125 (pow.f64 t 3)))) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -2) 4/125 (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 8/25 (fma.f64 4/125 (pow.f64 t -2) 6/5))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 64/625 (.f64 t t)) (/.f64 16/15625 (pow.f64 t 4))) (/.f64 1 (/.f64 (-.f64 8/25 (/.f64 4/125 t)) t)) 6/5)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4/125 t) (/.f64 1 t) (+.f64 6/5 (/.f64 8/25 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 6/5 (/.f64 8/25 t)) 1 (.f64 4/125 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 6/5 (/.f64 8/25 t))) 2) (cbrt.f64 (+.f64 6/5 (/.f64 8/25 t))) (.f64 4/125 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 6/5 (/.f64 8/25 t))) (sqrt.f64 (+.f64 6/5 (/.f64 8/25 t))) (*.f64 4/125 (pow.f64 t -2)))))))

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

789×	`distribute-neg-frac_binary64`
604×	`associate-/r*_binary64`
400×	`fma-def_binary64`
350×	`times-frac_binary64`
257×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	384
1	131	384
2	294	382
3	768	375
4	2320	375
5	6325	375

Stop Event

1×	node limit

Counts

188 → 177

Calls

Call 1

Inputs
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (pow.f64 t 2))
(*.f64 125/4 (pow.f64 t 2))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (.f64 -625/2 (pow.f64 t 3)))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (+.f64 (.f64 15625/8 (pow.f64 t 4)) (*.f64 -625/2 (pow.f64 t 3))))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (+.f64 (.f64 15625/8 (pow.f64 t 4)) (+.f64 (.f64 -625/2 (pow.f64 t 3)) (.f64 -15625/2 (pow.f64 t 5)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/2025 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/2025 (/.f64 1 (pow.f64 t 3)))))
(/.f64 4/125 (pow.f64 t 2))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t)))
(+.f64 6/5 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t))))
(+.f64 6/5 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))

Outputs
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(*.f64 125/4 (pow.f64 t 2))
(.f64 (.f64 t t) 125/4)
(.f64 t (.f64 t 125/4))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (.f64 -625/2 (pow.f64 t 3)))
(fma.f64 125/4 (.f64 t t) (.f64 -625/2 (pow.f64 t 3)))
(fma.f64 (.f64 t t) 125/4 (.f64 -625/2 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 125/4 (*.f64 t -625/2)))
(.f64 (.f64 t t) (fma.f64 t -625/2 125/4))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (+.f64 (.f64 15625/8 (pow.f64 t 4)) (*.f64 -625/2 (pow.f64 t 3))))
(fma.f64 125/4 (.f64 t t) (fma.f64 15625/8 (pow.f64 t 4) (.f64 -625/2 (pow.f64 t 3))))
(fma.f64 (.f64 t t) 125/4 (fma.f64 -625/2 (pow.f64 t 3) (.f64 15625/8 (pow.f64 t 4))))
(fma.f64 15625/8 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 125/4 (*.f64 t -625/2))))
(fma.f64 (.f64 t t) (fma.f64 t -625/2 125/4) (.f64 15625/8 (pow.f64 t 4)))
(+.f64 (.f64 125/4 (pow.f64 t 2)) (+.f64 (.f64 15625/8 (pow.f64 t 4)) (+.f64 (.f64 -625/2 (pow.f64 t 3)) (.f64 -15625/2 (pow.f64 t 5)))))
(fma.f64 125/4 (.f64 t t) (fma.f64 15625/8 (pow.f64 t 4) (fma.f64 -625/2 (pow.f64 t 3) (.f64 -15625/2 (pow.f64 t 5)))))
(fma.f64 (.f64 t t) 125/4 (fma.f64 15625/8 (pow.f64 t 4) (fma.f64 -625/2 (pow.f64 t 3) (.f64 -15625/2 (pow.f64 t 5)))))
(fma.f64 t (.f64 t 125/4) (fma.f64 -15625/2 (pow.f64 t 5) (fma.f64 -625/2 (pow.f64 t 3) (.f64 15625/8 (pow.f64 t 4)))))
(fma.f64 t (.f64 t (fma.f64 t -625/2 125/4)) (fma.f64 -15625/2 (pow.f64 t 5) (.f64 15625/8 (pow.f64 t 4))))
(fma.f64 t (.f64 t (fma.f64 t -625/2 125/4)) (fma.f64 15625/8 (pow.f64 t 4) (.f64 -15625/2 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/2025 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/2025 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 8/2025 (pow.f64 t 3))))
(+.f64 (/.f64 -2/9 t) (-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 8/2025 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 -8/2025 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 (/.f64 -2/9 t) (/.f64 8/2025 (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 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 8/2025 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 8/2025 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (-.f64 5/6 (/.f64 2/9 t)) (/.f64 8/2025 (pow.f64 t 3))))
(+.f64 (/.f64 -2/9 t) (-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 8/2025 (pow.f64 t 3))))
(+.f64 5/6 (+.f64 (/.f64 -8/2025 (pow.f64 t 3)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (-.f64 (/.f64 -2/9 t) (/.f64 8/2025 (pow.f64 t 3)))))
(/.f64 4/125 (pow.f64 t 2))
(/.f64 4/125 (*.f64 t t))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t)))
(+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t))
(+.f64 6/5 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))
(+.f64 6/5 (+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (/.f64 8/25 t) 6/5)
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))
6/5
(+.f64 6/5 (*.f64 8/25 (/.f64 1 t)))
(+.f64 (/.f64 8/25 t) 6/5)
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))
(+.f64 (.f64 4/125 (/.f64 1 (pow.f64 t 2))) (+.f64 6/5 (.f64 8/25 (/.f64 1 t))))
(+.f64 (+.f64 (/.f64 4/125 (*.f64 t t)) (/.f64 8/25 t)) 6/5)
(+.f64 (/.f64 4/125 (*.f64 t t)) (+.f64 (/.f64 8/25 t) 6/5))
(+.f64 (/.f64 8/25 t) (+.f64 (/.f64 4/125 (*.f64 t t)) 6/5))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 11/6 (/.f64 -2/9 t))
	0.4b	(/.f64 -2/9 t)
✓	0.5b	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)

Compiler

Compiled 20 to 16 computations (20% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
0.0ms	t	@	inf	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
0.0ms	t	@	0	(+.f64 11/6 (/.f64 -2/9 t))
0.0ms	t	@	-inf	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
0.0ms	t	@	inf	(+.f64 11/6 (/.f64 -2/9 t))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

961×	`pow1_binary64`
911×	`add-log-exp_binary64`
911×	`log1p-expm1-u_binary64`
911×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	186	14
2	2419	14

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 11/6 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 11/6 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 11/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 11/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) (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 11/6 (/.f64 -2/9 t)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 17/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) -1) (/.f64 1 (+.f64 (/.f64 -2/9 t) 17/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 1) (-.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 17/6)) (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 17/6) (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) -1)))))) (#(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 (/.f64 -2/9 t) 17/6)))))) (#(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 -2/9 t) 17/6))))) (#(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 (neg.f64 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 17/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) -1)) (neg.f64 (+.f64 (/.f64 -2/9 t) 17/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1331/216 (pow.f64 (+.f64 (/.f64 -2/9 t) -1) 3)) (+.f64 121/36 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1) (+.f64 (/.f64 -2/9 t) -1)) (*.f64 11/6 (+.f64 (/.f64 -2/9 t) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 121/36 (*.f64 (+.f64 (/.f64 -2/9 t) -1) (+.f64 (/.f64 -2/9 t) -1))) (-.f64 11/6 (+.f64 (/.f64 -2/9 t) -1)))))) (#(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 (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 fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.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 -.f64 (+.f64 (/.f64 -2/9 t) 17/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 121/36 (-.f64 11/6 (/.f64 -2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 11/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (cbrt.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2)) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2)) (*.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 121/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -11/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 121/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 121/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -11/27 t))) (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 11/6 (/.f64 -2/9 t)) (-.f64 121/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 121/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -11/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 121/36 (/.f64 -11/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 121/36 (/.f64 4/81 (*.f64 t t))) (-.f64 11/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (+.f64 121/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -11/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 121/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 121/36) (-.f64 (/.f64 -2/9 t) 11/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1331/216 (/.f64 -8/729 (pow.f64 t 3))) 1) (+.f64 121/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 -11/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 121/36 (/.f64 4/81 (*.f64 t t))) 1) (-.f64 11/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 11/6 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 17/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 t) 11/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -2/9 t) 11/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 11/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 11/6)))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	138
1	24	138
2	37	138
3	61	138
4	84	138
5	108	138
6	134	138
7	156	138
8	166	138

Stop Event

1×

saturated

Counts

98 → 81

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
	0.4b	(/.f64 -2/9 t)
✓	1.8b	(+.f64 (+.f64 (/.f64 -2/9 t) -1) 1)

Compiler

Compiled 30 to 25 computations (16.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`unpow-prod-down_binary64`
386×	`fma-def_binary64`
382×	`log-prod_binary64`
294×	`prod-diff_binary64`
260×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	231	11
2	3145	11

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs

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

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	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

180 → 159

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 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t)))
✓	0.0b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
✓	0.4b	(/.f64 2/9 t)
✓	0.5b	(/.f64 -1/27 (*.f64 t t))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite90.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
386×	`fma-def_binary64`
324×	`pow-prod-down_binary64`
316×	`pow2_binary64`
258×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	247	36
2	3656	36

Stop Event

1×	node limit

Counts

4 → 205

Calls

Call 1

Inputs
(/.f64 -1/27 (*.f64 t t))
(/.f64 2/9 t)
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t 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 (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 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 t -6)) 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 t -6)))))) (#(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))))))
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simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-neg_binary64`
581×	`associate-/l/_binary64`
457×	`fma-def_binary64`
450×	`associate-*l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	23	348
1	55	348
2	102	348
3	192	348
4	433	348
5	1376	348
6	5424	336

Stop Event

1×	node limit

Counts

241 → 220

Calls

Call 1

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

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (+.f64 4 (.f64 t -8)))
	0.0b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
✓	0.1b	(.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))
✓	21.8b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))

Compiler

Compiled 92 to 63 computations (31.5% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite88.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
726×	`fma-def_binary64`
325×	`fma-neg_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	49
1	381	45
2	4850	45

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

808×	`associate-/r/_binary64`
711×	`associate-/r*_binary64`
341×	`distribute-rgt-out_binary64`
312×	`distribute-lft-out_binary64`
266×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	423
1	106	419
2	244	399
3	606	363
4	1733	363
5	4938	363
6	6665	363
7	7080	363
8	7827	363

Stop Event

1×	node limit

Counts

198 → 189

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

eval409.0ms (3.4%)

Compiler: Compiled 17390 to 13464 computations (22.6% saved)

prune246.0ms (2%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	919	4	923
Fresh	3	5	8
Picked	0	1	1
Done	0	8	8
Total	922	18	940

Error

Counts

940 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.7b	(+.f64 5/6 (/.f64 -2/9 t))
	29.6b	(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
✓	29.3b	(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
	25.3b	5/6
✓	31.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
✓	16.8b	(/.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))))
✓	29.8b	(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
✓	30.2b	(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
✓	29.7b	(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
	33.0b	(fma.f64 t t 1/2)
	27.4b	1/2
	33.3b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
✓	33.4b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	29.8b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
✓	0.0b	(/.f64 1 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1)))
	33.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
	25.8b	(-.f64 11/6 1)
	32.5b	(pow.f64 (+.f64 2 (.f64 (.f64 t t) (+.f64 -4 (.f64 t (+.f64 8 (.f64 4 t)))))) -1)

Compiler

Compiled 263 to 204 computations (22.4% saved)

regimes132.0ms (1.1%)

Counts

40 → 1

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.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)))))
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(fma.f64 t t 1/2)
(pow.f64 (+.f64 2 (.f64 (.f64 t t) (+.f64 -4 (.f64 t (+.f64 8 (.f64 4 t)))))) -1)
(/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1) (+.f64 6 (/.f64 -8 t)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 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))
(/.f64 1 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 2) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 2 (/.f64 1 t)))) 1)))
(pow.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 2) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 t 2))) 1)) -1)

Outputs
(/.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:

40.0ms	t
33.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
19.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
9.0ms	(/.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
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 663 to 496 computations (25.2% saved)

regimes112.0ms (0.9%)

Counts

30 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.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

5/6

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

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

Calls

1 calls:

89.0ms

Results

Error	Segments	Branch
0.0b	3	`t`

Compiler

Compiled 431 to 321 computations (25.5% saved)

bsearch119.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	1443494.361181734	849166970.9684646
72.0ms	-2.3403016542663982e+154	-5.419931499589859e+153

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes50.0ms (0.4%)

Counts

28 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 5 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.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 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))

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

(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 367 to 276 computations (24.8% saved)

bsearch68.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0017100900223120843	1443494.361181734
35.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes45.0ms (0.4%)

Counts

25 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))

Outputs

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

(/.f64 (+.f64 1 (*.f64 (*.f64 t t) (+.f64 (*.f64 t (+.f64 (*.f64 t 12) -8)) 4))) (+.f64 2 (*.f64 t (*.f64 t (+.f64 4 (*.f64 t -8))))))

(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 280 to 210 computations (25% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes42.0ms (0.3%)

Counts

24 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Outputs

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

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

(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Calls

1 calls:

35.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 253 to 191 computations (24.5% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes33.0ms (0.3%)

Counts

20 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))
(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (*.f64 t 4))))
(/.f64 (+.f64 1 (.f64 t (.f64 t 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))
(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))))

Outputs

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

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

(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Calls

1 calls:

28.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 159 to 122 computations (23.3% saved)

bsearch66.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes30.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Outputs
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
1/2
(/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 102 to 82 computations (19.6% saved)

bsearch66.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes27.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 89 to 73 computations (18% saved)

bsearch66.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes28.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))
(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
(/.f64 (+.f64 5 (/.f64 -8 t)) (+.f64 6 (/.f64 -8 t)))

Outputs
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
1/2
(+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))

Calls

1 calls:

25.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 67 to 58 computations (13.4% saved)

bsearch67.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	0.0017100900223120843	1443494.361181734
35.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes23.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
5/6
5/6
1/2
5/6
5/6
1/2
(-.f64 11/6 1)
(+.f64 5/6 (/.f64 -2/9 t))
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
(-.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)
(/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))

Outputs
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))
1/2
(/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 38 to 33 computations (13.2% saved)

bsearch68.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0017100900223120843	1443494.361181734
34.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes17.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0017100900223120843	1443494.361181734
36.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes16.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Outputs
5/6
1/2
5/6

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.3b	3	`t`

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch70.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0017100900223120843	1443494.361181734
37.0ms	-53.43526821078497	-0.027510634467837854

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes5.0ms (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:

4.0ms

Results

Error	Segments	Branch
25.3b	1	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
14×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	662
1	141	662

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 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(if (<=.f64 t -23403016542663982261005005361293482761276186711365285596061289076630283356175523239686801011626276733055113864327739781236008013809594984942618407191183360) 5/6 (if (<=.f64 t 6199761073235959/4294967296) (/.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 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t)))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3760172718789589/70368744177664) 5/6 (if (<=.f64 t 31545592984595276/18446744073709551616) 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 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(if (<=.f64 t -23403016542663982261005005361293482761276186711365285596061289076630283356175523239686801011626276733055113864327739781236008013809594984942618407191183360) 5/6 (if (<=.f64 t 6199761073235959/4294967296) (/.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 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -23403016542663982261005005361293482761276186711365285596061289076630283356175523239686801011626276733055113864327739781236008013809594984942618407191183360) 5/6 (if (<=.f64 t 6199761073235959/4294967296) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t)) (+.f64 1 t))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 1 t)) (+.f64 1 t)))) (+.f64 5/6 (+.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) (/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t (+.f64 2 (.f64 t -2))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t (+.f64 (.f64 t 12) -8)) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8)))))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 (.f64 t -8) 4))) (+.f64 2 (.f64 t (.f64 t 4)))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 t (.f64 t 4)))) (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (*.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 (/.f64 1 (+.f64 6/5 (+.f64 (/.f64 8/25 t) (/.f64 4/125 (.f64 t t)))))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t)))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (.f64 t t)))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 5/6 (+.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 6/5 (/.f64 8/25 t))) (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 (+.f64 5/6 (+.f64 1 (+.f64 (/.f64 -2/9 t) -1)))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (/.f64 1 (+.f64 (/.f64 8/25 t) 6/5))))
(if (<=.f64 t -3760172718789589/70368744177664) (/.f64 1 (+.f64 6/5 (/.f64 8/25 t))) (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 (/.f64 1 (+.f64 6/5 (/.f64 8/25 t)))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3760172718789589/70368744177664) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -3760172718789589/70368744177664) 5/6 (if (<=.f64 t 31545592984595276/18446744073709551616) 1/2 5/6))
(if (<=.f64 t -3760172718789589/70368744177664) 5/6 (if (<=.f64 t 7886398246148819/4611686018427387904) 1/2 5/6))
5/6

Compiler

Compiled 466 to 350 computations (24.9% saved)

soundness274.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

693×	`fma-neg_binary64`
693×	`fma-neg_binary64`
495×	`distribute-lft-out_binary64`
495×	`distribute-lft-out_binary64`
473×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	614
1	255	605
2	669	594
3	1905	585
4	4779	572
0	84	614
1	255	605
2	669	594
3	1905	585
4	4779	572

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 92 to 80 computations (13% saved)

end330.0ms (2.7%)

Compiler: Compiled 454 to 332 computations (26.9% saved)