Details

analyze10.0ms (0.3%)

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
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.2s (38%)

Results

1.2s

8256×

body

128

valid

Compiler

Compiled 74 to 58 computations (21.6% saved)

preprocess43.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1108×	`fma-def_binary64`
549×	`times-frac_binary64`
299×	`associate-+l+_binary64`
252×	`associate-/l*_binary64`
243×	`associate-+r+_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
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)

simplify34.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1108×	`fma-def_binary64`
549×	`times-frac_binary64`
299×	`associate-+l+_binary64`
252×	`associate-/l*_binary64`
243×	`associate-+r+_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

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))

prune5.0ms (0.2%)

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 (0.3%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 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)))
0.0ms	t	@	-inf	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))
0.0ms	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))

rewrite65.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`prod-diff_binary64`
138×	`add-sqr-sqrt_binary64`
132×	`*-un-lft-identity_binary64`
132×	`pow1_binary64`
130×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	83
1	275	83
2	3864	83

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

Outputs
((#(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))) (+.f64 (pow.f64 t -2) (-.f64 (pow.f64 (+.f64 t 2) 2) (/.f64 (+.f64 t 2) t))))))) (#(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 2 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 2) (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) (sqrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) 3) 8) (+.f64 (.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2)))) (-.f64 4 (.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2)))) 4) (-.f64 (/.f64 (.f64 t 4) (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1)) 2) (.f64 (cbrt.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))) 2) (cbrt.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 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simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

617×	`fma-neg_binary64`
408×	`fma-def_binary64`
301×	`associate-l_binary64`
269×	`sub-neg_binary64`
229×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	638
1	240	628
2	632	619
3	1803	614
4	4302	614

Stop Event

1×	node limit

Counts

151 → 159

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

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

prune217.0ms (6.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	194	3	197
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	195	4	199

Error

Counts

199 → 4

Alt Table

Status	Error	Program
	0.5b	(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 2)))) 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)))))
	0.0b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))
	29.4b	(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))

Compiler

Compiled 5950 to 4634 computations (22.1% saved)

localize8.0ms (0.2%)

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

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite74.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
132×	`add-sqr-sqrt_binary64`
128×	`*-un-lft-identity_binary64`
128×	`pow1_binary64`
123×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	79
1	258	79
2	3944	79

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

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

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

436×	`times-frac_binary64`
428×	`fma-neg_binary64`
346×	`fma-def_binary64`
275×	`cancel-sign-sub-inv_binary64`
233×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	608
1	214	598
2	549	589
3	1538	584
4	3320	584

Stop Event

1×	node limit

Counts

192 → 201

Calls

Call 1

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

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

prune268.0ms (8.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	263	2	265

Error

Counts

265 → 2

Alt Table

Status

Error

Program

0.5b

(*.f64 1 (/.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))))

▶

0.0b

(/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 8695 to 6906 computations (20.6% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3))
✓	0.0b	(pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)
✓	0.1b	(/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2)))
	0.1b	(/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t)))

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	inf	(pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)
0.0ms	t	@	0	(pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)
0.0ms	t	@	-inf	(pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)
0.0ms	t	@	0	(/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2)))
0.0ms	t	@	-inf	(/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2)))

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`prod-diff_binary64`
218×	`log1p-udef_binary64`
133×	`add-sqr-sqrt_binary64`
127×	`add-cbrt-cube_binary64`
127×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	295	50
2	3546	50

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2)))
(pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)
(cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3))

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)))) (cbrt.f64 (/.f64 16 (pow.f64 (+.f64 t (+.f64 (pow.f64 t -1) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 16 (pow.f64 (+.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 t t (*.f64 (+.f64 (pow.f64 t -1) 2) (-.f64 (+.f64 (pow.f64 t -1) 2) 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 t (+.f64 (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)))))))))

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

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

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

630×	`fma-neg_binary64`
362×	`fma-def_binary64`
358×	`associate-l_binary64`
243×	`associate-/r*_binary64`
222×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	76	498
1	220	492
2	586	484
3	1702	481
4	4431	481

Stop Event

1×	node limit

Counts

111 → 116

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
(+.f64 1 (*.f64 12 (pow.f64 t 2)))
(+.f64 (.f64 -24 (pow.f64 t 3)) (+.f64 1 (.f64 12 (pow.f64 t 2))))
(+.f64 (.f64 -24 (pow.f64 t 3)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 t 2)) (*.f64 84 (pow.f64 t 4)))))
125
(-.f64 125 (*.f64 600 (/.f64 1 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (.f64 600 (/.f64 1 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4592 (/.f64 1 (pow.f64 t 3))) (*.f64 600 (/.f64 1 t))))
125
(-.f64 125 (*.f64 600 (/.f64 1 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (.f64 600 (/.f64 1 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4592 (/.f64 1 (pow.f64 t 3))) (*.f64 600 (/.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 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 12 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 4) (.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 4 t) (-.f64 (/.f64 12 (pow.f64 t 3)) (/.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 12 (pow.f64 t 3)) (+.f64 (/.f64 -8 (*.f64 t t)) (-.f64 (/.f64 4 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 4 t) (-.f64 (/.f64 12 (pow.f64 t 3)) (/.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 12 (pow.f64 t 3)) (+.f64 (/.f64 -8 (*.f64 t t)) (-.f64 (/.f64 4 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
(+.f64 1 (*.f64 12 (pow.f64 t 2)))
(+.f64 1 (.f64 (.f64 t t) 12))
(fma.f64 (*.f64 t t) 12 1)
(fma.f64 t (*.f64 t 12) 1)
(+.f64 (.f64 -24 (pow.f64 t 3)) (+.f64 1 (.f64 12 (pow.f64 t 2))))
(fma.f64 -24 (pow.f64 t 3) (+.f64 1 (.f64 (.f64 t t) 12)))
(fma.f64 (pow.f64 t 3) -24 (fma.f64 (*.f64 t t) 12 1))
(fma.f64 t (*.f64 t 12) (fma.f64 (pow.f64 t 3) -24 1))
(+.f64 (.f64 -24 (pow.f64 t 3)) (+.f64 1 (+.f64 (.f64 12 (pow.f64 t 2)) (*.f64 84 (pow.f64 t 4)))))
(fma.f64 -24 (pow.f64 t 3) (+.f64 1 (fma.f64 12 (.f64 t t) (.f64 (pow.f64 t 4) 84))))
(+.f64 (fma.f64 (pow.f64 t 4) 84 (.f64 (.f64 t t) 12)) (fma.f64 (pow.f64 t 3) -24 1))
(fma.f64 (pow.f64 t 3) -24 (fma.f64 (pow.f64 t 4) 84 (fma.f64 t (*.f64 t 12) 1)))
(fma.f64 (pow.f64 t 3) -24 (fma.f64 (pow.f64 t 4) 84 (fma.f64 (*.f64 t t) 12 1)))
125
(-.f64 125 (*.f64 600 (/.f64 1 t)))
(-.f64 125 (/.f64 600 t))
(+.f64 125 (/.f64 -600 t))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (.f64 600 (/.f64 1 t)))
(+.f64 125 (-.f64 (/.f64 1860 (*.f64 t t)) (/.f64 600 t)))
(+.f64 125 (+.f64 (/.f64 1860 (*.f64 t t)) (/.f64 -600 t)))
(+.f64 (/.f64 1860 (*.f64 t t)) (-.f64 125 (/.f64 600 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4592 (/.f64 1 (pow.f64 t 3))) (*.f64 600 (/.f64 1 t))))
(+.f64 125 (-.f64 (/.f64 1860 (*.f64 t t)) (+.f64 (/.f64 600 t) (/.f64 4592 (pow.f64 t 3)))))
(+.f64 125 (-.f64 (+.f64 (/.f64 1860 (*.f64 t t)) (/.f64 -600 t)) (/.f64 4592 (pow.f64 t 3))))
(+.f64 125 (+.f64 (/.f64 -600 t) (-.f64 (/.f64 1860 (*.f64 t t)) (/.f64 4592 (pow.f64 t 3)))))
125
(-.f64 125 (*.f64 600 (/.f64 1 t)))
(-.f64 125 (/.f64 600 t))
(+.f64 125 (/.f64 -600 t))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (.f64 600 (/.f64 1 t)))
(+.f64 125 (-.f64 (/.f64 1860 (*.f64 t t)) (/.f64 600 t)))
(+.f64 125 (+.f64 (/.f64 1860 (*.f64 t t)) (/.f64 -600 t)))
(+.f64 (/.f64 1860 (*.f64 t t)) (-.f64 125 (/.f64 600 t)))
(-.f64 (+.f64 125 (.f64 1860 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4592 (/.f64 1 (pow.f64 t 3))) (*.f64 600 (/.f64 1 t))))
(+.f64 125 (-.f64 (/.f64 1860 (*.f64 t t)) (+.f64 (/.f64 600 t) (/.f64 4592 (pow.f64 t 3)))))
(+.f64 125 (-.f64 (+.f64 (/.f64 1860 (*.f64 t t)) (/.f64 -600 t)) (/.f64 4592 (pow.f64 t 3))))
(+.f64 125 (+.f64 (/.f64 -600 t) (-.f64 (/.f64 1860 (*.f64 t t)) (/.f64 4592 (pow.f64 t 3)))))
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (*.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 1 (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 (*.f64 t -8) 4))))
(+.f64 1 (.f64 t (.f64 t (+.f64 4 (.f64 t (+.f64 -8 (.f64 t 12)))))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 5 (.f64 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 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 5 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))
5
(-.f64 5 (*.f64 8 (/.f64 1 t)))
(-.f64 5 (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 5 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 5 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(-.f64 (+.f64 5 (.f64 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 (/.f64 12 (*.f64 t t)) (/.f64 8 t))) (/.f64 16 (pow.f64 t 3)))
(+.f64 5 (-.f64 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (+.f64 5 (/.f64 -8 t)) (/.f64 -16 (pow.f64 t 3))))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3)))))

prune235.0ms (7.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	2	156

Error

Counts

156 → 2

Alt Table

Status

Error

Program

▶

0.5b

(*.f64 1 (/.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))))

✓

0.0b

(/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 5112 to 4045 computations (20.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite67.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

309×	`prod-diff_binary64`
227×	`log1p-udef_binary64`
226×	`expm1-udef_binary64`
140×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	283	79
2	3855	79

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary64`
339×	`associate-/r*_binary64`
207×	`cancel-sign-sub-inv_binary64`
182×	`times-frac_binary64`
167×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1370
1	510	903
2	1847	688

Stop Event

1×	node limit

Counts

177 → 193

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (.f64 8 (/.f64 1 t)))
(pow.f64 (sqrt.f64 5) 2)
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(*.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))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (.f64 -2 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (.f64 1/6 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (.f64 4/3 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (.f64 4/3 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (.f64 2 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (-.f64 (.f64 1/6 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (.f64 4/3 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (.f64 4/3 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
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
1
(+.f64 1 (*.f64 4 (pow.f64 t 2)))
(+.f64 1 (.f64 4 (.f64 t t)))
(fma.f64 4 (*.f64 t t) 1)
(fma.f64 t (*.f64 t 4) 1)
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 1))
(fma.f64 4 (*.f64 t t) (fma.f64 -8 (pow.f64 t 3) 1))
(+.f64 1 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(+.f64 1 (fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(+.f64 1 (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 -8 t) (+.f64 5 (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))) (.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t)))
(+.f64 5 (+.f64 (-.f64 (.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (.f64 t t)) (/.f64 -8 t))))
(+.f64 5 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
(pow.f64 (sqrt.f64 5) 2)
5
(-.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 8 (/.f64 1 t)))
(-.f64 (pow.f64 (sqrt.f64 5) 2) (/.f64 8 t))
(+.f64 5 (/.f64 -8 t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 5 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 -8 t) (+.f64 5 (/.f64 (/.f64 12 t) t)))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (pow.f64 (sqrt.f64 5) 2) (-.f64 (+.f64 (/.f64 12 (.f64 t t)) (fma.f64 -1 (/.f64 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 (pow.f64 t 3) (pow.f64 (sqrt.f64 5) 2)))))) (/.f64 8 t)))
(+.f64 5 (+.f64 (-.f64 (.f64 -4/5 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 3))) (/.f64 (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16) (pow.f64 t 3))) (+.f64 (/.f64 12 (.f64 t t)) (/.f64 -8 t))))
(+.f64 5 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
(*.f64 4 (pow.f64 t 2))
(.f64 4 (.f64 t t))
(+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2)))
(fma.f64 -8 (pow.f64 t 3) (.f64 4 (.f64 t t)))
(fma.f64 4 (.f64 t t) (.f64 -8 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 12 (pow.f64 t 4)) (*.f64 4 (pow.f64 t 2))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t))))
(fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))
(+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 -16 (pow.f64 t 5)) (+.f64 (.f64 12 (pow.f64 t 4)) (.f64 4 (pow.f64 t 2)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 4 (.f64 t t)))))
(fma.f64 -16 (pow.f64 t 5) (fma.f64 12 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))))
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 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 4 (/.f64 -8 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 4 (/.f64 12 (*.f64 t t))) (-.f64 (/.f64 -8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 4 (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -16 (pow.f64 t 3))) (/.f64 -8 t)))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(+.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))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)
5/6
(+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (.f64 (pow.f64 (sqrt.f64 5) 2) 1/6))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 t t)) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (.f64 t t)) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (+.f64 (+.f64 5/6 (/.f64 2 (.f64 t t))) (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (.f64 t t)))) (/.f64 -5/3 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2))))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (.f64 -2 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 3))) (+.f64 (.f64 -4/3 (/.f64 (-.f64 (.f64 1/6 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (+.f64 (.f64 4/3 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2)))) (.f64 1/3 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3))) (+.f64 (.f64 4/3 (/.f64 (+.f64 4/3 (.f64 -2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2))) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(-.f64 (fma.f64 1/6 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (.f64 t t)) (fma.f64 1/6 (/.f64 (fma.f64 -1 (+.f64 16 (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (.f64 -4 (/.f64 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 t 3)) (fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)))) (fma.f64 -2 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (pow.f64 t 3)) (fma.f64 -4/3 (/.f64 (-.f64 (.f64 1/6 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 4/3 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (pow.f64 t 3)) (fma.f64 4/3 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 t t)) (fma.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 t t)) (*.f64 -4/9 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 3))))))))
(-.f64 (+.f64 (fma.f64 1/6 (/.f64 (-.f64 (/.f64 -4 (/.f64 5 (-.f64 12 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)))) (fma.f64 -4 (-.f64 12/5 (/.f64 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2) 5)) 16)) (pow.f64 t 3)) (/.f64 -2/9 t)) (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t t)) 5/6)) (+.f64 (/.f64 -4/9 (pow.f64 t 3)) (+.f64 (+.f64 (/.f64 5/3 (.f64 t t)) (/.f64 -20/9 (pow.f64 t 3))) (fma.f64 -4/3 (/.f64 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) -53/27) (pow.f64 t 3)) (/.f64 8/27 (*.f64 t t))))))
(+.f64 (/.f64 2 (.f64 t t)) (+.f64 (+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 -8/3 (pow.f64 t 3))) (-.f64 (/.f64 4/9 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (.f64 t t)) (+.f64 (+.f64 (/.f64 5/3 (*.f64 t t)) (/.f64 -20/9 (pow.f64 t 3))) (/.f64 -4/81 (pow.f64 t 3)))))))
(*.f64 1/6 (pow.f64 (sqrt.f64 5) 2))
(*.f64 (pow.f64 (sqrt.f64 5) 2) 1/6)
5/6
(+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (*.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))
(fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (.f64 (pow.f64 (sqrt.f64 5) 2) 1/6))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (.f64 1/6 (+.f64 (/.f64 (+.f64 12 (-.f64 (/.f64 16 (pow.f64 (sqrt.f64 5) 2)) (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2))) (.f64 t t)) (pow.f64 (sqrt.f64 5) 2)))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 t t)) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (*.f64 t t)))))
(+.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 -4 (sqrt.f64 5)) 2)) (.f64 t t)) 5/6) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (.f64 t t)) (/.f64 5/3 (*.f64 t t)))))
(+.f64 (+.f64 (+.f64 5/6 (/.f64 2 (.f64 t t))) (+.f64 (/.f64 -2/9 t) (/.f64 -8/27 (.f64 t t)))) (/.f64 -5/3 (*.f64 t t)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) t)) (+.f64 (.f64 -1 (/.f64 (-.f64 8/3 (+.f64 (.f64 2 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (+.f64 (.f64 4/3 (-.f64 (.f64 1/6 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (+.f64 (.f64 4/3 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2)))) (.f64 1/3 (pow.f64 (sqrt.f64 5) 2))))) (.f64 4/9 (pow.f64 (sqrt.f64 5) 2))))) (pow.f64 t 3))) (+.f64 (.f64 1/6 (/.f64 (-.f64 (+.f64 12 (.f64 16 (/.f64 1 (pow.f64 (sqrt.f64 5) 2)))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (pow.f64 t 2))) (.f64 1/6 (pow.f64 (sqrt.f64 5) 2))))) (+.f64 (.f64 4/3 (/.f64 (-.f64 4/3 (.f64 2/9 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 t 2))) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (pow.f64 t 2)))))
(-.f64 (fma.f64 -1 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) t) (fma.f64 -1 (/.f64 (-.f64 8/3 (fma.f64 2 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (fma.f64 4/3 (-.f64 (.f64 1/6 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2))) (fma.f64 4/3 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 (pow.f64 (sqrt.f64 5) 2) 1/3))) (.f64 (pow.f64 (sqrt.f64 5) 2) 4/9)))) (pow.f64 t 3)) (.f64 1/6 (+.f64 (/.f64 (-.f64 (+.f64 12 (/.f64 16 (pow.f64 (sqrt.f64 5) 2))) (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 t t)) (pow.f64 (sqrt.f64 5) 2))))) (fma.f64 4/3 (/.f64 (+.f64 4/3 (.f64 (pow.f64 (sqrt.f64 5) 2) -2/9)) (.f64 t t)) (.f64 1/3 (/.f64 (pow.f64 (sqrt.f64 5) 2) (.f64 t t)))))
(+.f64 (-.f64 (fma.f64 1/6 (/.f64 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) (.f64 t t)) 5/6) (/.f64 (-.f64 0 (.f64 4/3 (fma.f64 1/6 (-.f64 76/5 (pow.f64 (/.f64 4 (sqrt.f64 5)) 2)) -53/27))) (pow.f64 t 3))) (-.f64 (/.f64 -2/9 t) (+.f64 (/.f64 8/27 (.f64 t t)) (/.f64 5/3 (.f64 t t)))))
(+.f64 (/.f64 -2/9 t) (+.f64 (+.f64 5/6 (/.f64 2 (.f64 t t))) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 (/.f64 8/27 (.f64 t t)) (/.f64 5/3 (*.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 (.f64 -8 (pow.f64 t 3)) (fma.f64 4 (.f64 t t) 2))
(fma.f64 -8 (pow.f64 t 3) (fma.f64 t (*.f64 t 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 -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) 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 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.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 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 8 (/.f64 1 t)) (*.f64 16 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6) (+.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 (/.f64 (/.f64 12 t) t) (+.f64 6 (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))

prune202.0ms (6.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	193	2	195

Error

Counts

195 → 2

Alt Table

Status

Error

Program

✓

0.5b

(*.f64 1 (/.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))))

✓

0.0b

(/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (/.f64 4 (+.f64 t (+.f64 (/.f64 1 t) 2))) 1) 3)) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 6288 to 5306 computations (15.6% saved)

regimes423.0ms (12.9%)

Accuracy

Total 0.0b remaining (4.7%)

Threshold costs 0.0b (4.7%)

Counts

165 → 1

Compiler

Compiled 3851 to 3077 computations (20.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`*-lft-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	22	38

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 1 (log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)) (+.f64 2 (*.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4))))))

Outputs

(*.f64 1 (log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)) (+.f64 2 (*.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4))))))

(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)) (+.f64 2 (*.f64 (pow.f64 (/.f64 t (+.f64 1 t)) 2) 4)))))

end103.0ms (3.2%)

Stop Event

1×

done

Compiler

Compiled 107 to 89 computations (16.8% saved)

Details

analyze10.0ms (0.3%)

sample1.2s (38%)

preprocess43.0ms (1.3%)

simplify34.0ms (1%)

prune5.0ms (0.2%)

localize9.0ms (0.3%)

series5.0ms (0.1%)

rewrite65.0ms (2%)

simplify42.0ms (1.3%)

prune217.0ms (6.6%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite74.0ms (2.3%)

simplify38.0ms (1.2%)

prune268.0ms (8.2%)

localize17.0ms (0.5%)

series3.0ms (0.1%)

rewrite62.0ms (1.9%)

simplify39.0ms (1.2%)

prune235.0ms (7.2%)

localize11.0ms (0.3%)

series7.0ms (0.2%)

rewrite67.0ms (2%)

simplify39.0ms (1.2%)

prune202.0ms (6.2%)

regimes423.0ms (12.9%)

simplify2.0ms (0.1%)

end103.0ms (3.2%)

Profiling