Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.4s (13%)

Results

1.4s	8255×	body	64	valid
0.0ms	1×	body	128	valid

preprocess65.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (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

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

Status

Error

Program

0.0b

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

▶

0.0b

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

Compiler

Compiled 185 to 143 computations (22.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`prod-diff_binary64`
597×	`log-prod_binary64`
350×	`fma-def_binary64`
238×	`expm1-udef_binary64`
238×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	275	59
2	3864	59

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

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

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simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
552×	`times-frac_binary64`
399×	`associate-/l/_binary64`
379×	`associate-*r/_binary64`
364×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	419
1	170	413
2	429	410
3	1189	400
4	3480	400

Stop Event

1×	node limit

Counts

171 → 170

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

prune1.8s (16.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	289	1	290
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	290	2	292

Error

Counts

292 → 2

Alt Table

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

Status

Error

Program

▶

0.0b

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

0.0b

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

Compiler

Compiled 9167 to 7049 computations (23.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	t	@	-inf	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
1.0ms	t	@	0	(.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	@	0	(/.f64 (*.f64 2 t) (+.f64 1 t))
0.0ms	t	@	inf	(/.f64 (*.f64 2 t) (+.f64 1 t))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
379×	`fma-def_binary64`
276×	`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	3944	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 2 t) (+.f64 1 t))
(+.f64 1 (.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)))))

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	84	614
1	256	605
2	670	594
3	1902	585
4	4563	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)))))
(*.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)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))

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

prune5.8s (54.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	494	0	494
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	494	2	496

Error

Counts

496 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

▶

0.0b

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

Compiler

Compiled 18162 to 14304 computations (21.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`prod-diff_binary64`
357×	`fma-def_binary64`
281×	`expm1-udef_binary64`
281×	`log1p-udef_binary64`
237×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	337	107
2	4489	107

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (+.f64 t (+.f64 (pow.f64 t -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) 2) (cbrt.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (sqrt.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) (/.f64 2 (sqrt.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (+.f64 (neg.f64 (+.f64 t (pow.f64 t -1))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 t (+.f64 (pow.f64 t -1) 2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 (pow.f64 t 3) (pow.f64 (+.f64 (pow.f64 t -1) 2) 3))) (fma.f64 (+.f64 (pow.f64 t -1) 2) (-.f64 (+.f64 (pow.f64 t -1) 2) t) (.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (-.f64 (.f64 t t) (pow.f64 (+.f64 (pow.f64 t -1) 2) 2))) (-.f64 (-.f64 t (pow.f64 t -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (sqrt.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (+.f64 t (+.f64 (pow.f64 t -1) 2)))))))))
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simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary64`
772×	`fma-neg_binary64`
599×	`associate-+l+_binary64`
413×	`associate-+r+_binary64`
376×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1072
1	553	1040
2	1802	963
3	7514	963

Stop Event

1×	node limit

Counts

139 → 151

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

Outputs
(*.f64 4 t)
(+.f64 (.f64 -8 (pow.f64 t 2)) (.f64 4 t))
(fma.f64 -8 (.f64 t t) (.f64 4 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) (.f64 t (+.f64 4 (.f64 t -8))))
(+.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 -16 (pow.f64 t 4) (fma.f64 12 (pow.f64 t 3) (.f64 t (+.f64 4 (.f64 t -8)))))
(/.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 12 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))))
(+.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 4 t) (-.f64 (/.f64 12 (pow.f64 t 3)) (+.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 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 12 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -8 (*.f64 t t))))
(+.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 4 t) (-.f64 (/.f64 12 (pow.f64 t 3)) (+.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)))))
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(fma.f64 -1 (*.f64 t t) 1/2)
(-.f64 1/2 (*.f64 t t))
(fma.f64 t (neg.f64 t) 1/2)
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (.f64 2 (pow.f64 t 3))))
(+.f64 (fma.f64 -1 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 3)))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (*.f64 t t))
(fma.f64 2 (pow.f64 t 3) (fma.f64 t (neg.f64 t) 1/2))
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 3)) (*.f64 -1 (pow.f64 t 4)))))
(+.f64 (fma.f64 -1 (*.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 3) (neg.f64 (pow.f64 t 4))))
(-.f64 (-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (pow.f64 t 4)) (*.f64 t t))
(-.f64 (fma.f64 2 (pow.f64 t 3) 1/2) (fma.f64 t t (pow.f64 t 4)))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(-.f64 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
1/6
(+.f64 1/6 (*.f64 2/9 (/.f64 1 t)))
(+.f64 1/6 (/.f64 2/9 t))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (.f64 1/27 (/.f64 1 (pow.f64 t 2))))
(+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t))))
(+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t))))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (/.f64 -1/27 (*.f64 t t))))
(-.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 t))) (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (*.f64 4/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 1/6 (-.f64 (/.f64 2/9 t) (/.f64 1/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(-.f64 (+.f64 (/.f64 2/9 t) (+.f64 1/6 (/.f64 -1/27 (*.f64 t t)))) (/.f64 4/81 (pow.f64 t 3)))
(+.f64 1/6 (+.f64 (/.f64 2/9 t) (-.f64 (/.f64 -1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3)))))
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))))
(+.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)))
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 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.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 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
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 (/.f64 1/27 (*.f64 t t)) 5/6) (/.f64 2/9 t))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.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 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
1/2
(+.f64 1/2 (*.f64 -1 (pow.f64 t 4)))
(+.f64 1/2 (neg.f64 (pow.f64 t 4)))
(-.f64 1/2 (pow.f64 t 4))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 5)) (.f64 -1 (pow.f64 t 4))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 5) (neg.f64 (pow.f64 t 4))))
(-.f64 (fma.f64 4 (pow.f64 t 5) 1/2) (pow.f64 t 4))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 5)) (+.f64 (.f64 -6 (pow.f64 t 6)) (*.f64 -1 (pow.f64 t 4)))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 5) (fma.f64 -6 (pow.f64 t 6) (neg.f64 (pow.f64 t 4)))))
(+.f64 1/2 (-.f64 (fma.f64 4 (pow.f64 t 5) (*.f64 -6 (pow.f64 t 6))) (pow.f64 t 4)))
(*.f64 1/6 (sqrt.f64 5))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 5)) (.f64 2/9 (/.f64 (sqrt.f64 5) t))) (/.f64 2/3 (*.f64 (sqrt.f64 5) t)))
(-.f64 (fma.f64 1/6 (sqrt.f64 5) (.f64 2/9 (/.f64 (sqrt.f64 5) t))) (/.f64 2/3 (.f64 t (sqrt.f64 5))))
(fma.f64 1/6 (sqrt.f64 5) (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (/.f64 -2/3 (*.f64 t (sqrt.f64 5)))))
(fma.f64 1/6 (sqrt.f64 5) (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (/.f64 (/.f64 -2/3 (sqrt.f64 5)) t)))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 5)) (+.f64 (.f64 2/9 (/.f64 (sqrt.f64 5) t)) (+.f64 (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))) (.f64 -1/27 (/.f64 (sqrt.f64 5) (pow.f64 t 2)))))) (+.f64 (.f64 8/9 (/.f64 1 (.f64 (sqrt.f64 5) (pow.f64 t 2)))) (.f64 2/3 (/.f64 1 (*.f64 (sqrt.f64 5) t)))))
(-.f64 (fma.f64 1/6 (sqrt.f64 5) (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)))))) (+.f64 (/.f64 8/9 (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 2/3 (*.f64 t (sqrt.f64 5)))))
(fma.f64 1/6 (sqrt.f64 5) (+.f64 (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 -1/27 (/.f64 (.f64 t t) (sqrt.f64 5))))) (+.f64 (/.f64 -2/3 (.f64 t (sqrt.f64 5))) (/.f64 -8/9 (.f64 (.f64 t t) (sqrt.f64 5))))))
(+.f64 (fma.f64 (/.f64 1/12 (.f64 t t)) (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (.f64 (/.f64 (sqrt.f64 5) t) (+.f64 (/.f64 -1/27 t) 2/9))) (+.f64 (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (.f64 t t))) (/.f64 (/.f64 -2/3 (sqrt.f64 5)) t)))
(fma.f64 1/6 (sqrt.f64 5) (+.f64 (+.f64 (.f64 (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (/.f64 1/12 (.f64 t t))) (fma.f64 (/.f64 (sqrt.f64 5) t) (+.f64 (/.f64 -1/27 t) 2/9) (/.f64 (/.f64 -2/3 (sqrt.f64 5)) t))) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (.f64 t t))))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 5)) (+.f64 (.f64 -4/81 (/.f64 (sqrt.f64 5) (pow.f64 t 3))) (+.f64 (.f64 4/27 (/.f64 1 (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (+.f64 (.f64 -1/12 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (+.f64 (.f64 2/9 (/.f64 (sqrt.f64 5) t)) (+.f64 (.f64 1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 3)))) (+.f64 (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))) (.f64 -1/27 (/.f64 (sqrt.f64 5) (pow.f64 t 2)))))))))) (+.f64 (.f64 2/3 (/.f64 1 (.f64 (sqrt.f64 5) t))) (.f64 8/9 (/.f64 1 (*.f64 (sqrt.f64 5) (pow.f64 t 2))))))
(-.f64 (fma.f64 1/6 (sqrt.f64 5) (fma.f64 -4/81 (/.f64 (sqrt.f64 5) (pow.f64 t 3)) (+.f64 (/.f64 4/27 (.f64 (pow.f64 t 3) (sqrt.f64 5))) (fma.f64 -1/12 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (fma.f64 1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)))))))))) (+.f64 (/.f64 8/9 (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 2/3 (*.f64 t (sqrt.f64 5)))))
(fma.f64 1/6 (sqrt.f64 5) (+.f64 (+.f64 (fma.f64 -1/12 (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (fma.f64 2/9 (/.f64 (sqrt.f64 5) t) (fma.f64 1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (sqrt.f64 5))) (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 -1/27 (/.f64 (.f64 t t) (sqrt.f64 5))))))) (fma.f64 -4/81 (/.f64 (sqrt.f64 5) (pow.f64 t 3)) (/.f64 4/27 (.f64 (pow.f64 t 3) (sqrt.f64 5))))) (+.f64 (/.f64 -2/3 (.f64 t (sqrt.f64 5))) (/.f64 -8/9 (.f64 (*.f64 t t) (sqrt.f64 5))))))
(+.f64 (+.f64 (.f64 (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (+.f64 (/.f64 1/12 (.f64 t t)) (/.f64 1/9 (pow.f64 t 3)))) (+.f64 (.f64 (/.f64 (sqrt.f64 5) t) (+.f64 (/.f64 -1/27 t) 2/9)) (/.f64 (/.f64 -56/75 (pow.f64 t 3)) (sqrt.f64 5)))) (+.f64 (fma.f64 -4/81 (/.f64 (sqrt.f64 5) (pow.f64 t 3)) (/.f64 4/27 (.f64 (pow.f64 t 3) (sqrt.f64 5)))) (+.f64 (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (.f64 t t))) (/.f64 (/.f64 -2/3 (sqrt.f64 5)) t))))
(*.f64 1/6 (sqrt.f64 5))
(+.f64 (.f64 1/6 (sqrt.f64 5)) (.f64 -1 (/.f64 (+.f64 (.f64 -2/9 (sqrt.f64 5)) (.f64 2/3 (/.f64 1 (sqrt.f64 5)))) t)))
(fma.f64 1/6 (sqrt.f64 5) (neg.f64 (/.f64 (fma.f64 -2/9 (sqrt.f64 5) (/.f64 2/3 (sqrt.f64 5))) t)))
(-.f64 (*.f64 1/6 (sqrt.f64 5)) (/.f64 (fma.f64 (sqrt.f64 5) -2/9 (/.f64 2/3 (sqrt.f64 5))) t))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/9 (sqrt.f64 5)) (.f64 2/3 (/.f64 1 (sqrt.f64 5)))) t)) (+.f64 (.f64 -1/27 (/.f64 (sqrt.f64 5) (pow.f64 t 2))) (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2))))))) (.f64 8/9 (/.f64 1 (*.f64 (sqrt.f64 5) (pow.f64 t 2)))))
(-.f64 (fma.f64 1/6 (sqrt.f64 5) (fma.f64 -1 (/.f64 (fma.f64 -2/9 (sqrt.f64 5) (/.f64 2/3 (sqrt.f64 5))) t) (fma.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)) (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))))))) (/.f64 8/9 (.f64 (.f64 t t) (sqrt.f64 5))))
(+.f64 (fma.f64 1/6 (sqrt.f64 5) (-.f64 (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 -1/27 (/.f64 (.f64 t t) (sqrt.f64 5)))) (/.f64 (fma.f64 (sqrt.f64 5) -2/9 (/.f64 2/3 (sqrt.f64 5))) t))) (/.f64 -8/9 (.f64 (*.f64 t t) (sqrt.f64 5))))
(+.f64 (fma.f64 (/.f64 1/12 (.f64 t t)) (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (fma.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)) (/.f64 (+.f64 (/.f64 -2/3 (sqrt.f64 5)) (.f64 2/9 (sqrt.f64 5))) t))) (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (*.f64 t t))))
(+.f64 (fma.f64 (/.f64 1/12 (.f64 t t)) (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (fma.f64 (/.f64 (sqrt.f64 5) t) (/.f64 -1/27 t) (/.f64 (+.f64 (/.f64 -2/3 (sqrt.f64 5)) (.f64 2/9 (sqrt.f64 5))) t))) (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (.f64 t t))))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 5)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/9 (sqrt.f64 5)) (.f64 2/3 (/.f64 1 (sqrt.f64 5)))) t)) (+.f64 (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 4/81 (sqrt.f64 5)) (+.f64 (.f64 1/12 (/.f64 (-.f64 16 (.f64 4 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (sqrt.f64 5))) (.f64 -1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (sqrt.f64 5))))) (.f64 4/27 (/.f64 1 (sqrt.f64 5)))) (pow.f64 t 3))) (+.f64 (.f64 -1/27 (/.f64 (sqrt.f64 5) (pow.f64 t 2))) (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (sqrt.f64 5) (pow.f64 t 2)))))))) (.f64 8/9 (/.f64 1 (*.f64 (sqrt.f64 5) (pow.f64 t 2)))))
(-.f64 (fma.f64 1/6 (sqrt.f64 5) (fma.f64 -1 (/.f64 (fma.f64 -2/9 (sqrt.f64 5) (/.f64 2/3 (sqrt.f64 5))) t) (fma.f64 -1 (/.f64 (-.f64 (fma.f64 4/81 (sqrt.f64 5) (fma.f64 1/12 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (sqrt.f64 5)) (.f64 -1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (sqrt.f64 5))))) (/.f64 4/27 (sqrt.f64 5))) (pow.f64 t 3)) (fma.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)) (.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5)))))))) (/.f64 8/9 (.f64 (.f64 t t) (sqrt.f64 5))))
(+.f64 (fma.f64 1/6 (sqrt.f64 5) (-.f64 (-.f64 (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (/.f64 -1/27 (/.f64 (.f64 t t) (sqrt.f64 5)))) (/.f64 (+.f64 (fma.f64 4/81 (sqrt.f64 5) (fma.f64 1/12 (/.f64 (+.f64 16 (.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2) 5)))) (sqrt.f64 5)) (.f64 -1/9 (/.f64 (-.f64 12 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (sqrt.f64 5))))) (/.f64 -4/27 (sqrt.f64 5))) (pow.f64 t 3))) (/.f64 (fma.f64 (sqrt.f64 5) -2/9 (/.f64 2/3 (sqrt.f64 5))) t))) (/.f64 -8/9 (.f64 (*.f64 t t) (sqrt.f64 5))))
(+.f64 (-.f64 (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (fma.f64 -1/27 (/.f64 (sqrt.f64 5) (.f64 t t)) (/.f64 (fma.f64 -1 (fma.f64 4/81 (sqrt.f64 5) (fma.f64 -1/9 (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (/.f64 56/75 (sqrt.f64 5)))) (/.f64 4/27 (sqrt.f64 5))) (pow.f64 t 3)))) (/.f64 (fma.f64 (sqrt.f64 5) -2/9 (/.f64 2/3 (sqrt.f64 5))) t)) (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (*.f64 t t))))
(+.f64 (-.f64 (fma.f64 1/12 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (.f64 t t) (sqrt.f64 5))) (fma.f64 (/.f64 (sqrt.f64 5) t) (/.f64 -1/27 t) (/.f64 (fma.f64 -1 (fma.f64 4/81 (sqrt.f64 5) (fma.f64 -1/9 (-.f64 (/.f64 12 (sqrt.f64 5)) (.f64 4/5 (/.f64 4 (sqrt.f64 5)))) (/.f64 56/75 (sqrt.f64 5)))) (/.f64 4/27 (sqrt.f64 5))) (pow.f64 t 3)))) (/.f64 (fma.f64 (sqrt.f64 5) -2/9 (/.f64 2/3 (sqrt.f64 5))) t)) (fma.f64 1/6 (sqrt.f64 5) (/.f64 (/.f64 -8/9 (sqrt.f64 5)) (.f64 t t))))

prune1.0s (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	227	0	227
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	227	2	229

Error

Counts

229 → 2

Alt Table

Status

Error

Program

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 9936 to 7930 computations (20.2% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-266.7%)

Threshold costs -0.0b (-266.7%)

Counts

3 → 1

Calls

Call 1

Inputs

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

Results

3.0ms	0.0b	`t`
4.0ms	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)))))`
3.0ms	0.0b	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
3.0ms	0.0b	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 165 to 127 computations (23% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	16	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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))

Outputs

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

end21.0ms (0.2%)

Stop Event

1×

done

Compiler

Compiled 52 to 40 computations (23.1% saved)

Details

analyze9.0ms (0.1%)

sample1.4s (13%)

preprocess65.0ms (0.6%)

simplify56.0ms (0.5%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series5.0ms (0%)

rewrite77.0ms (0.7%)

simplify39.0ms (0.4%)

prune1.8s (16.7%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite95.0ms (0.9%)

simplify53.0ms (0.5%)

prune5.8s (54.6%)

localize14.0ms (0.1%)

series7.0ms (0.1%)

rewrite84.0ms (0.8%)

simplify61.0ms (0.6%)

prune1.0s (9.7%)

regimes16.0ms (0.1%)

simplify2.0ms (0%)

end21.0ms (0.2%)

Profiling