Details

analyze16.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.8s (18.2%)

Results

1.8s

8256×

body

256

valid

preprocess125.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize64.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 101 to 76 computations (24.8% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite182.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	258	57
2	3957	57

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Inputs

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

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

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

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

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

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

170 → 178

Calls

Call 1

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

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

eval625.0ms (6.2%)

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

prune118.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	422	7	429
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	423	7	430

Error

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	26.1b	5/6
▶	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
▶	31.4b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶	31.3b	(+.f64 5/6 (/.f64 -2/9 t))
▶	31.3b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))
▶	31.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
	26.0b	1/2

Compiler

Compiled 220 to 170 computations (22.7% saved)

localize73.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
✓	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))

Compiler

Compiled 130 to 94 computations (27.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`unpow-prod-down_binary64`
409×	`log-prod_binary64`
310×	`exp-prod_binary64`
286×	`pow-prod-down_binary64`
222×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	184	23
2	2619	23

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 (+.f64 t 1) t) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 (+.f64 t 1) t) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2) (cbrt.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4))) (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) (/.f64 2 (/.f64 (+.f64 t 1) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (pow.f64 (/.f64 1 (neg.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (+.f64 t 1) t) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (/.f64 (pow.f64 (+.f64 t 1) 2) t)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) 1) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (+.f64 t 1)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (fma.f64 -1 t -1)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (pow.f64 (+.f64 t 1) 2)) 1) (*.f64 t t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (/.f64 (pow.f64 (+.f64 t 1) 2) t)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) 1) 1) (/.f64 t (+.f64 t 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (+.f64 t 1)) 1) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 4 (/.f64 t (+.f64 t 1))) (fma.f64 -1 t -1)) 1) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) 6)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4)) 4) 1/3) (cbrt.f64 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4)) (cbrt.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4)))) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)) 5/2) 1/3) (cbrt.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 4) 3) (pow.f64 (/.f64 (+.f64 t 1) t) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))))) 2)) (cbrt.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)))))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 16 (pow.f64 (/.f64 (+.f64 t 1) t) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 4) (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 4 (pow.f64 (/.f64 (+.f64 t 1) t) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (/.f64 (+.f64 t 1) t) 2) 1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 2 (log.f64 (/.f64 2 (/.f64 (+.f64 t 1) t)))) 1) 1))))))

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

748×	`distribute-neg-frac_binary64`
560×	`associate-/r*_binary64`
387×	`fma-def_binary64`
336×	`times-frac_binary64`
240×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	300
1	113	300
2	274	297
3	739	291
4	2243	291
5	6040	291

Stop Event

1×	node limit

Counts

136 → 136

Calls

Call 1

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

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

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	139	11
2	1759	11

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

63 → 55

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`log-prod_binary64`
412×	`fma-def_binary64`
344×	`pow-prod-down_binary64`
312×	`pow2_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	245	32
2	3606	32

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

589×	`distribute-neg-frac_binary64`
452×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
391×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	21	348
1	47	348
2	79	348
3	142	348
4	292	348
5	822	348
6	3584	336
7	6916	336

Stop Event

1×	node limit

Counts

213 → 188

Calls

Call 1

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

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

localize166.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(.f64 4 (.f64 t t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.3b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 90 to 62 computations (31.1% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	319	33
2	4714	33

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

78 → 71

Calls

Call 1

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

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

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 t (+.f64 4 (.f64 t -8)))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.0b	(.f64 t (.f64 t (+.f64 4 (*.f64 t -8))))
✓	0.3b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 t (.f64 t (+.f64 4 (.f64 t -8))))))

Compiler

Compiled 115 to 85 computations (26.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite103.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

173 → 164

Calls

Call 1

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

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

eval974.0ms (9.6%)

Compiler: Compiled 29528 to 22644 computations (23.3% saved)

prune381.0ms (3.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	1078	4	1082
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	1082	7	1089

Error

Counts

1089 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	31.4b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶	29.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
✓	31.3b	(+.f64 5/6 (/.f64 -2/9 t))
	26.1b	5/6
	26.0b	1/2
▶	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
▶	31.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 92 to 70 computations (23.9% saved)

localize26.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 t t))
✓	16.5b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 42 to 24 computations (42.9% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

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

Outputs

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

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

57 → 59

Calls

Call 1

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

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

localize77.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
✓	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (*.f64 t 2))
	0.0b	(.f64 4 (.f64 t t))
✓	15.9b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 81 to 55 computations (32.1% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite139.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	342	39
2	4679	39

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 104

Calls

Call 1

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

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

localize84.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
✓	0.0b	(/.f64 (+.f64 t 1) t)
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))

Compiler

Compiled 98 to 70 computations (28.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`log-prod_binary64`
441×	`prod-diff_binary64`
413×	`fma-def_binary64`
338×	`log-div_binary64`
240×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	285	37
2	4259	37

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-def_binary64`
756×	`distribute-rgt-out_binary64`
697×	`associate-l_binary64`
485×	`associate-r_binary64`
352×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	34	209
1	91	203
2	213	203
3	533	201
4	1459	200
5	5907	196

Stop Event

1×	node limit

Counts

99 → 92

Calls

Call 1

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

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

eval934.0ms (9.2%)

Compiler: Compiled 21923 to 16562 computations (24.5% saved)

prune139.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	757	5	762
Fresh	1	1	2
Picked	0	1	1
Done	1	3	4
Total	759	10	769

Error

Counts

769 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	51.2b	1
	26.1b	5/6
	26.0b	1/2
✓	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
▶	31.9b	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
✓	31.4b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	31.3b	(+.f64 5/6 (/.f64 -2/9 t))
▶	31.6b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))
▶	31.1b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))

Compiler

Compiled 148 to 113 computations (23.6% saved)

localize78.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (.f64 t t))
✓	0.0b	(.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (*.f64 t 2))
✓	0.0b	(.f64 t (+.f64 2 (.f64 t (+.f64 -2 (*.f64 t 2)))))
✓	22.0b	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 113 to 80 computations (29.2% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(.f64 t (+.f64 2 (.f64 t (+.f64 -2 (*.f64 t 2)))))
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	inf	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
1.0ms	t	@	inf	(.f64 t (+.f64 2 (.f64 t (+.f64 -2 (*.f64 t 2)))))

rewrite130.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

419×	`fma-neg_binary64`
328×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
259×	`log-pow_binary64`
201×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	75
1	393	59
2	5684	59

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

535×	`fma-def_binary64`
485×	`distribute-lft-out_binary64`
396×	`distribute-rgt-out_binary64`
360×	`*-commutative_binary64`
327×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	477
1	113	459
2	276	441
3	805	401
4	2427	401
5	4605	401
6	6909	401

Stop Event

1×	node limit

Counts

126 → 123

Calls

Call 1

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

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

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t))
✓	0.4b	(/.f64 1 (*.f64 t t))
	0.4b	(/.f64 4 (*.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))
✓	0.5b	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))

Compiler

Compiled 125 to 83 computations (33.6% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
1.0ms	t	@	0	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
0.0ms	t	@	-inf	(/.f64 4 (+.f64 (/.f64 1 (*.f64 t t)) (/.f64 2 t)))
0.0ms	t	@	0	(/.f64 1 (*.f64 t t))
0.0ms	t	@	-inf	(/.f64 1 (*.f64 t t))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`prod-diff_binary64`
446×	`log-prod_binary64`
291×	`fma-def_binary64`
264×	`pow2_binary64`
220×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	226	17
2	3155	17

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-def_binary64`
513×	`associate-/l/_binary64`
439×	`times-frac_binary64`
426×	`fma-neg_binary64`
419×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	234
1	88	234
2	213	231
3	583	225
4	1808	219
5	4444	219

Stop Event

1×	node limit

Counts

82 → 76

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

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

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t)))
	0.0b	(.f64 4 (.f64 t t))
✓	15.8b	(/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))
✓	15.9b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 70 to 45 computations (35.7% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	320	55
2	4342	51

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t))))) (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 4 (/.f64 (*.f64 t t) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (/.f64 1 (*.f64 1/4 (/.f64 (+.f64 1 t) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 t (*.f64 (*.f64 t 4) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 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simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

875×	`fma-def_binary64`
518×	`fma-neg_binary64`
461×	`times-frac_binary64`
356×	`cancel-sign-sub-inv_binary64`
327×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	467
1	178	459
2	489	449
3	1352	436
4	4055	436

Stop Event

1×	node limit

Counts

203 → 210

Calls

Call 1

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

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

eval898.0ms (8.8%)

Compiler: Compiled 15645 to 11435 computations (26.9% saved)

prune163.0ms (1.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	579	2	581
Fresh	1	2	3
Picked	0	1	1
Done	1	5	6
Total	581	10	591

Error

Counts

591 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	26.0b	1/2
✓	31.4b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
✓	29.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))
	51.2b	1
✓	0.0b	(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
✓	31.9b	(/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (*.f64 t t))))
✓	31.3b	(+.f64 5/6 (/.f64 -2/9 t))
	26.1b	5/6
	25.5b	(/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))))
✓	31.6b	(/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 146 to 111 computations (24% saved)

regimes102.0ms (1%)

Counts

19 → 1

Calls

Call 1

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

Calls

7 calls:

19.0ms	t
16.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
16.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
11.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
10.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

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

Compiler

Compiled 434 to 322 computations (25.8% saved)

regimes57.0ms (0.6%)

Counts

16 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

46.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 215 to 155 computations (27.9% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.0014684735685288471	4.538795993251062
36.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes25.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 130 to 93 computations (28.5% saved)

bsearch82.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.0014684735685288471	4.538795993251062
46.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes22.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 80 to 57 computations (28.8% saved)

bsearch70.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.0014684735685288471	4.538795993251062
35.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes18.0ms (0.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 40 to 29 computations (27.5% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.0014684735685288471	4.538795993251062
36.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes19.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 25 to 20 computations (20% saved)

bsearch78.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.0014684735685288471	4.538795993251062
39.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes16.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch73.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.0014684735685288471	4.538795993251062
37.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes39.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

Outputs
5/6
1/2
5/6

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch74.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.0014684735685288471	4.538795993251062
37.0ms	-1.7913320107558817	-5.83255891766442e-9

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes6.0ms (0.1%)

Accuracy

Total -25.7b remaining (-98.5%)

Threshold costs -25.7b (-98.5%)

Counts

4 → 1

Calls

Call 1

Inputs
1/2
1
1/2
1/2

Outputs
1/2

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
26.0b	1	`t`

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
7×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	392
1	91	392

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4033721088068515/2251799813685248) 5/6 (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 5/6))
1/2

Outputs
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))) (+.f64 2 (/.f64 4 (.f64 (/.f64 (+.f64 t 1) t) (/.f64 (+.f64 t 1) t)))))
(/.f64 (+.f64 1 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t)))) (+.f64 (/.f64 4 (.f64 (/.f64 (+.f64 1 t) t) (/.f64 (+.f64 1 t) t))) 2))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t)))) (+.f64 2 (/.f64 4 (+.f64 (/.f64 1 (.f64 t t)) (/.f64 2 t))))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))) (.f64 t 2))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 (.f64 t 2) (.f64 t (+.f64 2 (.f64 t (+.f64 -2 (.f64 t 2))))))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (.f64 t t))))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 t 4)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (/.f64 (.f64 t (.f64 4 t)) (+.f64 1 t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t)))) (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 (+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 (+.f64 5/6 (+.f64 (/.f64 -2/9 t) (/.f64 1/27 (*.f64 t t))))))
(if (<=.f64 t -4033721088068515/2251799813685248) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -4033721088068515/2251799813685248) 5/6 (if (<=.f64 t 6772139024414657/4611686018427387904) 1/2 5/6))
1/2

Compiler

Compiled 278 to 207 computations (25.5% saved)

soundness0.0ms (0%)

end129.0ms (1.3%)

Compiler: Compiled 270 to 195 computations (27.8% saved)