Details

analyze9.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.5s (13.7%)

Results

1.5s

8256×

body

256

valid

preprocess101.0ms (0.9%)

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)

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	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)

localize36.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 101 to 76 computations (24.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite93.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`prod-diff_binary64`
559×	`log-prod_binary64`
373×	`fma-def_binary64`
216×	`log-div_binary64`
198×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	232	55
2	3460	55

Stop Event

1×	node limit

Counts

4 → 207

Calls

Call 1

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

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

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

765×	`times-frac_binary64`
725×	`fma-neg_binary64`
455×	`cancel-sign-sub-inv_binary64`
395×	`distribute-rgt-out_binary64`
378×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	624
1	218	620
2	578	605
3	1711	598
4	4372	583

Stop Event

1×	node limit

Counts

255 → 264

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

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

eval521.0ms (4.7%)

Compiler: Compiled 19931 to 15227 computations (23.6% saved)

prune77.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	519	8	527
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	519	9	528

Error

Counts

528 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	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)))))
▶	14.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	26.7b	(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	31.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))))
	30.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
▶	31.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
▶	31.4b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
	30.6b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))
▶	27.3b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)

Compiler

Compiled 468 to 364 computations (22.2% saved)

localize45.0ms (0.4%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 131 to 89 computations (32.1% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
410×	`exp-prod_binary64`
295×	`pow-prod-down_binary64`
244×	`pow2_binary64`
188×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	199	33
2	2842	33

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

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

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

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

802×	`fma-def_binary64`
646×	`associate-/r*_binary64`
387×	`times-frac_binary64`
355×	`distribute-lft-out_binary64`
348×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	402
1	157	402
2	418	395
3	1224	382
4	3861	382

Stop Event

1×	node limit

Counts

181 → 173

Calls

Call 1

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

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

localize27.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Compiler

Compiled 69 to 52 computations (24.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)

0.0ms

inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)

0.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

929×	`prod-diff_binary64`
578×	`log-prod_binary64`
303×	`fma-def_binary64`
224×	`log-div_binary64`
207×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	252	19
2	3572	19

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))) (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)) 2) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 2) (*.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 1/6)) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 1/6)) 1))))))

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

917×	`fma-def_binary64`
805×	`unswap-sqr_binary64`
530×	`associate-/r*_binary64`
334×	`times-frac_binary64`
201×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	150
1	90	146
2	227	144
3	645	138
4	2019	135
5	6328	135

Stop Event

1×	node limit

Counts

40 → 42

Calls

Call 1

Inputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (.f64 2/3 (pow.f64 t 2))))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))

Outputs
1/6
(+.f64 1/6 (*.f64 2/3 (pow.f64 t 2)))
(+.f64 1/6 (.f64 2/3 (.f64 t t)))
(fma.f64 2/3 (*.f64 t t) 1/6)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (.f64 2/3 (pow.f64 t 2))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (.f64 2/3 (.f64 t t))))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) 1/6))
(fma.f64 2/3 (*.f64 t t) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) 1/6)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 1/6 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2 (pow.f64 t 4)))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 1/6 (fma.f64 2/3 (.f64 t t) (.f64 2 (pow.f64 t 4)))))
(+.f64 (fma.f64 2/3 (.f64 t t) (.f64 2 (pow.f64 t 4))) (fma.f64 -4/3 (pow.f64 t 3) 1/6))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 2/3 (*.f64 t t) (fma.f64 2 (pow.f64 t 4) 1/6)))
(fma.f64 t (*.f64 t (fma.f64 t -4/3 2/3)) (fma.f64 2 (pow.f64 t 4) 1/6))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t 2 -4/3) 2/3) 1/6)
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))
5/6
(-.f64 5/6 (*.f64 4/3 (/.f64 1 t)))
(-.f64 5/6 (/.f64 4/3 t))
(+.f64 5/6 (/.f64 -4/3 t))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (.f64 4/3 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (/.f64 2 (*.f64 t t))) (/.f64 4/3 t))
(+.f64 (/.f64 2 (*.f64 t t)) (-.f64 5/6 (/.f64 4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (/.f64 -4/3 t)))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 2 t) t) (/.f64 -4/3 t)))
(-.f64 (+.f64 5/6 (.f64 2 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 4/3 (/.f64 1 t)) (*.f64 8/3 (/.f64 1 (pow.f64 t 3)))))
(+.f64 5/6 (-.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (-.f64 (/.f64 -4/3 t) (/.f64 8/3 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 2 (*.f64 t t)) (+.f64 (/.f64 -4/3 t) (/.f64 -8/3 (pow.f64 t 3)))))
(+.f64 (/.f64 (/.f64 2 t) t) (+.f64 (-.f64 5/6 (/.f64 4/3 t)) (/.f64 -8/3 (pow.f64 t 3))))

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

Compiler

Compiled 82 to 62 computations (24.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

0.0ms

inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

0.0ms

-inf

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t)))

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`log-prod_binary64`
369×	`fma-def_binary64`
319×	`log-div_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	327	25
2	4731	25

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (/.f64 1 (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (*.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (/.f64 1 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) -1) (/.f64 1 (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 6 (/.f64 -8 t))) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) 1) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (+.f64 6 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (pow.f64 (cbrt.f64 (+.f64 6 (/.f64 -8 t))) 2)) (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (cbrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 2)) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 216 (pow.f64 (/.f64 -8 t) 3))) (fma.f64 (/.f64 -8 t) (-.f64 (/.f64 -8 t) 6) 36))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (-.f64 36 (/.f64 64 (*.f64 t t)))) (-.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (hypot.f64 1 (*.f64 2 (/.f64 t (+.f64 1 t)))) (sqrt.f64 (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 6 (/.f64 -8 t)) (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 (neg.f64 (/.f64 -8 t)) -6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) 3) (pow.f64 (+.f64 6 (/.f64 -8 t)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 (pow.f64 (*.f64 2 (/.f64 t (+.f64 1 t))) 2)) (log.f64 (+.f64 6 (/.f64 -8 t)))) 1))))))

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

805×	`unswap-sqr_binary64`
750×	`distribute-neg-frac_binary64`
534×	`associate-/r*_binary64`
363×	`fma-def_binary64`
334×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	156
1	95	156
2	234	153
3	654	145
4	2186	145
5	6013	145

Stop Event

1×	node limit

Counts

50 → 52

Calls

Call 1

Inputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.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 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))

Outputs
(*.f64 -1/8 t)
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (.f64 -1/8 t))
(fma.f64 -3/32 (.f64 t t) (.f64 -1/8 t))
(fma.f64 -1/8 t (.f64 -3/32 (.f64 t t)))
(.f64 t (+.f64 -1/8 (.f64 t -3/32)))
(*.f64 t (fma.f64 t -3/32 -1/8))
(+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (*.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t)))
(fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3))))
(fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 -1/8 (.f64 t -3/32))))
(.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32))))
(+.f64 (.f64 293/512 (pow.f64 t 4)) (+.f64 (.f64 -3/32 (pow.f64 t 2)) (+.f64 (.f64 -73/128 (pow.f64 t 3)) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -73/128 (pow.f64 t 3) (.f64 -1/8 t))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -3/32 (.f64 t t) (fma.f64 -1/8 t (.f64 -73/128 (pow.f64 t 3)))))
(fma.f64 293/512 (pow.f64 t 4) (fma.f64 -73/128 (pow.f64 t 3) (.f64 t (+.f64 -1/8 (.f64 t -3/32)))))
(fma.f64 293/512 (pow.f64 t 4) (.f64 t (+.f64 -1/8 (.f64 t (fma.f64 t -73/128 -3/32)))))
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 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (.f64 2/9 (/.f64 1 t)))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 46/27 (*.f64 t t)))
(-.f64 (+.f64 5/6 (.f64 46/27 (/.f64 1 (pow.f64 t 2)))) (+.f64 (.f64 32/81 (/.f64 1 (pow.f64 t 3))) (*.f64 2/9 (/.f64 1 t))))
(+.f64 5/6 (-.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (+.f64 (/.f64 -2/9 t) (/.f64 -32/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 46/27 (*.f64 t t)) (-.f64 (/.f64 -2/9 t) (/.f64 32/81 (pow.f64 t 3)))))
(-.f64 (/.f64 -32/81 (pow.f64 t 3)) (+.f64 (-.f64 -5/6 (/.f64 -2/9 t)) (/.f64 -46/27 (*.f64 t t))))

localize42.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
✓	0.1b	(/.f64 (/.f64 12 t) t)
✓	0.4b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))

Compiler

Compiled 110 to 81 computations (26.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
0.0ms	t	@	0	(/.f64 (/.f64 12 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 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
0.0ms	t	@	-inf	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))
0.0ms	t	@	inf	(/.f64 (/.f64 12 t) t)

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`fma-neg_binary64`
366×	`expm1-udef_binary64`
366×	`log1p-udef_binary64`
216×	`add-sqr-sqrt_binary64`
205×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57
1	430	57
2	6473	57

Stop Event

1×	node limit

Counts

3 → 126

Calls

Call 1

Inputs

(/.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t)))

(/.f64 (/.f64 12 t) t)

(+.f64 (+.f64 (/.f64 (/.f64 12 t) t) 6) (/.f64 -8 t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (/.f64 1 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))) 2) (cbrt.f64 (/.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))) 2) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))) (/.f64 1 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))) (/.f64 (hypot.f64 1 (*.f64 (/.f64 2 (+.f64 1 t)) t)) (sqrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(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 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)) -1) (/.f64 1 (neg.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (pow.f64 (*.f64 (/.f64 2 (+.f64 1 t)) t) 2))) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(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)) (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 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(-.f64 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 12 (*.f64 t t)) 6) (/.f64 -8 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -8 t) (+.f64 (/.f64 12 (*.f64 t t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 12 t) (/.f64 1 t) (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -8 (/.f64 1 t) (+.f64 (/.f64 12 (*.f64 t t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 12 (*.f64 t t))) 2) (cbrt.f64 (/.f64 12 (*.f64 t t))) (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6)) 2) (cbrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6)) (/.f64 -8 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 64 (*.f64 t t))) (cbrt.f64 (/.f64 -8 t)) (+.f64 (/.f64 12 (*.f64 t t)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t) (+.f64 6 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6)) (sqrt.f64 (+.f64 (/.f64 12 (*.f64 t t)) 6)) (/.f64 -8 t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -8 t)) (sqrt.f64 (/.f64 -8 t)) (+.f64 (/.f64 12 (*.f64 t t)) 6))))))

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

614×	`associate-/r*_binary64`
404×	`fma-def_binary64`
354×	`times-frac_binary64`
294×	`distribute-lft-out_binary64`
294×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	384
1	127	384
2	295	381
3	787	375
4	2424	375
5	6601	375

Stop Event

1×	node limit

Counts

162 → 150

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (pow.f64 t 2))
(-.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))

Outputs
(*.f64 1/12 (pow.f64 t 2))
(.f64 1/12 (.f64 t t))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (.f64 1/12 (.f64 t t)))
(fma.f64 1/12 (.f64 t t) (.f64 1/18 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(.f64 (.f64 t t) (fma.f64 t 1/18 1/12))
(.f64 t (.f64 t (fma.f64 t 1/18 1/12)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 71/216 (pow.f64 t 4) (.f64 1/12 (.f64 t t))))
(fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (.f64 71/216 (pow.f64 t 4)))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 71/216 (pow.f64 t 4) (.f64 1/12 (.f64 t t)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (.f64 -77/162 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (*.f64 (/.f64 1 t) (-.f64 (/.f64 1/27 t) 2/9)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 -176/81 t))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 5/6 (*.f64 (/.f64 1 t) (-.f64 (/.f64 1/27 t) 2/9)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(-.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 5/6 (-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3))))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (.f64 (/.f64 1 (.f64 t t)) (+.f64 1/27 (/.f64 -176/81 t))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(/.f64 (/.f64 12 t) t)
(-.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(+.f64 (/.f64 (/.f64 12 t) t) (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
6
(-.f64 6 (*.f64 8 (/.f64 1 t)))
(-.f64 6 (/.f64 8 t))
(+.f64 6 (/.f64 -8 t))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))
(-.f64 (+.f64 6 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 6 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 6 (/.f64 -8 t)))
(+.f64 (/.f64 (/.f64 12 t) t) (+.f64 6 (/.f64 -8 t)))

localize50.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.0b	(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
✓	0.0b	(+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))
	0.0b	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
	0.1b	(/.f64 (/.f64 12 t) t)
✓	0.4b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))) (+.f64 2 (+.f64 (+.f64 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))))

Compiler

Compiled 123 to 92 computations (25.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`expm1-udef_binary64`
392×	`log1p-udef_binary64`
231×	`add-sqr-sqrt_binary64`
222×	`*-un-lft-identity_binary64`
222×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	459	50
2	7107	50

Stop Event

1×	node limit

Counts

2 → 89

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 4 (/.f64 -8 t)) (/.f64 (/.f64 12 t) t))))

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

Outputs

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(*.f64 t t))) (neg.f64 t)) (*.f64 (-.f64 4 (/.f64 -8 t)) (/.f64 -12 t))) (*.f64 (-.f64 4 (/.f64 -8 t)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t))) (*.f64 (*.f64 t (*.f64 t 1/12)) (+.f64 64 (/.f64 -512 (pow.f64 t 3))))) (*.f64 (*.f64 t (*.f64 t 1/12)) (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 12 (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t)))) (*.f64 (*.f64 t t) (+.f64 64 (/.f64 -512 (pow.f64 t 3))))) (*.f64 (*.f64 t t) (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 12 t) (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t)))) (*.f64 t (+.f64 64 (/.f64 -512 (pow.f64 t 3))))) (*.f64 t (+.f64 16 (-.f64 (/.f64 64 (*.f64 t t)) (/.f64 -32 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (/.f64 -12 t) (+.f64 16 (-.f64 (/.f64 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(pow.f64 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))) 3)) (+.f64 16 (-.f64 (*.f64 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))) (*.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (*.f64 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))) (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))) (-.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 12 (*.f64 t t)) 2) (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (-.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (/.f64 (sqrt.f64 12) t) (sqrt.f64 (+.f64 4 (/.f64 -8 t)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 4 (+.f64 (/.f64 -8 t) (/.f64 12 (*.f64 t t))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 4 (/.f64 -8 t)) (/.f64 12 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 12 t) (/.f64 1 t) (+.f64 4 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 12 (*.f64 t t)) 2)) (cbrt.f64 (/.f64 12 (*.f64 t t))) (+.f64 4 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 4 (/.f64 -8 t)) 2)) (cbrt.f64 (+.f64 4 (/.f64 -8 t))) (/.f64 12 (*.f64 t t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 12) t) (/.f64 (sqrt.f64 12) t) (+.f64 4 (/.f64 -8 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (sqrt.f64 (+.f64 4 (/.f64 -8 t))) (/.f64 12 (*.f64 t t)))))))

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

615×	`associate-/r*_binary64`
404×	`fma-def_binary64`
354×	`times-frac_binary64`
294×	`distribute-lft-out_binary64`
294×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	300
1	126	300
2	294	297
3	790	291
4	2428	291
5	6585	291

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 t 2))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(/.f64 12 (pow.f64 t 2))
(-.f64 (.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 8 (/.f64 1 t)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
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 8 (/.f64 1 t)))
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 8 (/.f64 1 t)))

Outputs
(*.f64 1/12 (pow.f64 t 2))
(.f64 1/12 (.f64 t t))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (.f64 1/12 (pow.f64 t 2)))
(fma.f64 1/18 (pow.f64 t 3) (.f64 1/12 (.f64 t t)))
(fma.f64 1/12 (.f64 t t) (.f64 1/18 (pow.f64 t 3)))
(.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))
(.f64 t (.f64 t (fma.f64 t 1/18 1/12)))
(+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (*.f64 71/216 (pow.f64 t 4))))
(fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4))))
(fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18))))
(fma.f64 (.f64 t t) (fma.f64 t 1/18 1/12) (.f64 71/216 (pow.f64 t 4)))
(+.f64 (.f64 -77/162 (pow.f64 t 5)) (+.f64 (.f64 1/18 (pow.f64 t 3)) (+.f64 (.f64 1/12 (pow.f64 t 2)) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 1/18 (pow.f64 t 3) (fma.f64 1/12 (.f64 t t) (.f64 71/216 (pow.f64 t 4)))))
(fma.f64 -77/162 (pow.f64 t 5) (fma.f64 71/216 (pow.f64 t 4) (.f64 (.f64 t t) (+.f64 1/12 (*.f64 t 1/18)))))
(fma.f64 71/216 (pow.f64 t 4) (fma.f64 (.f64 t t) (fma.f64 t 1/18 1/12) (.f64 -77/162 (pow.f64 t 5))))
(fma.f64 t (.f64 t (fma.f64 t 1/18 1/12)) (fma.f64 71/216 (pow.f64 t 4) (.f64 -77/162 (pow.f64 t 5))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (.f64 (/.f64 1 (.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (+.f64 5/6 (/.f64 1/27 (*.f64 t t))) (/.f64 -2/9 t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))
(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (+.f64 (.f64 2/9 (/.f64 1 t)) (*.f64 176/81 (/.f64 1 (pow.f64 t 3)))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (+.f64 (/.f64 2/9 t) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 (/.f64 1/27 t) t) (+.f64 (/.f64 -2/9 t) (/.f64 -176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (-.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 176/81 (pow.f64 t 3)))))
(+.f64 5/6 (+.f64 (/.f64 -2/9 t) (.f64 (/.f64 1 (.f64 t t)) (-.f64 1/27 (/.f64 176/81 t)))))
(/.f64 12 (pow.f64 t 2))
(/.f64 12 (*.f64 t t))
(-.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 8 (/.f64 1 t)))
(-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t))
(+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t))
(*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 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 1 t) (-.f64 (/.f64 12 t) 8)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))
4
(-.f64 4 (*.f64 8 (/.f64 1 t)))
(-.f64 4 (/.f64 8 t))
(+.f64 4 (/.f64 -8 t))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 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 1 t) (-.f64 (/.f64 12 t) 8)))
(-.f64 (+.f64 4 (.f64 12 (/.f64 1 (pow.f64 t 2)))) (.f64 8 (/.f64 1 t)))
(+.f64 4 (-.f64 (/.f64 12 (*.f64 t t)) (/.f64 8 t)))
(+.f64 4 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 4 (/.f64 -8 t)))
(+.f64 4 (*.f64 (/.f64 1 t) (-.f64 (/.f64 12 t) 8)))

eval1.3s (11.4%)

Compiler: Compiled 38047 to 29058 computations (23.6% saved)

prune290.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	1303	7	1310
Fresh	0	3	3
Picked	1	0	1
Done	5	0	5
Total	1309	10	1319

Error

Counts

1319 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	26.7b	(/.f64 1 (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))))
▶	31.5b	(+.f64 5/6 (*.f64 (/.f64 1 t) (-.f64 (/.f64 1/27 t) 2/9)))
▶	15.2b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
▶	31.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	31.5b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
▶	31.5b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
▶	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
	30.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
	26.5b	5/6
	30.6b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 4 (*.f64 t t))))

Compiler

Compiled 382 to 288 computations (24.6% saved)

localize61.0ms (0.5%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 99 to 63 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
302×	`pow2_binary64`
250×	`fma-def_binary64`
238×	`prod-diff_binary64`
228×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	247	16
2	3512	16

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

921×	`fma-def_binary64`
805×	`unswap-sqr_binary64`
531×	`associate-/r*_binary64`
334×	`times-frac_binary64`
204×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	150
1	91	148
2	227	145
3	658	138
4	2040	135
5	6345	135

Stop Event

1×	node limit

Counts

72 → 74

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series5.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/.f64 -2/9 t)
1.0ms	t	@	0	(+.f64 5/6 (/.f64 -2/9 t))
1.0ms	t	@	inf	(/.f64 -2/9 t)
1.0ms	t	@	-inf	(/.f64 -2/9 t)
0.0ms	t	@	inf	(+.f64 5/6 (/.f64 -2/9 t))

rewrite61.0ms (0.5%)

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)))))

simplify14.0ms (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))

localize16.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

488×	`log-prod_binary64`
298×	`pow2_binary64`
295×	`pow-prod-down_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	250	34
2	3169	34

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1/27 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/27 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/27 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/27 (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1/27 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 t) 1/27)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1/27 t)) (pow.f64 (cbrt.f64 (/.f64 1/27 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 1/27 t)) 2) (cbrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 1/27 t)) (sqrt.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/27 (/.f64 1 (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/27 (cbrt.f64 (pow.f64 t -2))) (/.f64 1 (cbrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/27 (pow.f64 t -1/2)) (pow.f64 t -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/729 (pow.f64 t -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/27 t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/27 t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/19683 (pow.f64 t -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 t 27) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 t 27) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/729 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/19683 (pow.f64 t -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 1/27 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 1/27 t))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 1/27 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 1/27 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 t 27)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 1/27 t)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (/.f64 1/27 t)) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1/27 t) (/.f64 1 t)) (.f64 -2/9 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 t) (/.f64 1/27 t)) (.f64 (/.f64 1 t) -2/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 1/27 t) t) (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 t (+.f64 (/.f64 1/27 t) -2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 1/27 t) -2/9) t)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2) (/.f64 t (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (/.f64 t (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 t -3) -8/729) (.f64 t (+.f64 (fma.f64 1/729 (pow.f64 t -2) 4/81) (/.f64 2/243 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/729 (pow.f64 t -2) -4/81) (.f64 t (+.f64 (/.f64 1/27 t) 2/9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 1/27 t) -2/9)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 1/19683 (pow.f64 t -3) -8/729)) (.f64 (neg.f64 t) (+.f64 (fma.f64 1/729 (pow.f64 t -2) 4/81) (/.f64 2/243 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (fma.f64 1/729 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-2/9) t) 5/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 (/.f64 1/27 t) -2/9) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (/.f64 1/27 t) -2/9) (/.f64 1 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 2) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 t -2)) (.f64 (/.f64 1 (cbrt.f64 t)) (+.f64 (/.f64 1/27 t) -2/9)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) (sqrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (.f64 (pow.f64 t -1/2) (+.f64 (/.f64 1/27 t) -2/9)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 (/.f64 1/27 t) -2/9) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2) (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (pow.f64 (cbrt.f64 t) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 t) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 2)) (cbrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 1 t) (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9))) (sqrt.f64 (+.f64 (/.f64 1/27 t) -2/9)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 (/.f64 1/27 t) -2/9) (cbrt.f64 (pow.f64 t -2))) (/.f64 1 (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 (/.f64 1/27 t) -2/9) (pow.f64 t -1/2)) (pow.f64 t -1/2) 5/6)))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-neg-frac_binary64`
599×	`div-sub_binary64`
562×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	333
1	53	333
2	86	333
3	151	333
4	328	333
5	965	321
6	4458	285
7	7583	285

Stop Event

1×	node limit

Counts

227 → 205

Calls

Call 1

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

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

localize28.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
	0.0b	(+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))
	0.0b	(/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
	0.0b	(.f64 4 (.f64 t t))
✓	0.1b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	14.3b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 83 to 51 computations (38.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`prod-diff_binary64`
419×	`fma-def_binary64`
319×	`log-div_binary64`
273×	`fma-neg_binary64`
254×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	301	26
2	4522	26

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

881×	`fma-def_binary64`
803×	`unswap-sqr_binary64`
520×	`associate-/r/_binary64`
331×	`associate-/l/_binary64`
328×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	145
1	81	137
2	181	133
3	481	115
4	1306	112
5	2938	112
6	4801	112
7	5885	112
8	6802	112
9	7853	112

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 2 (pow.f64 t 3)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (.f64 -5 (pow.f64 t 4)))))
(*.f64 2/3 (pow.f64 t 2))
(+.f64 (.f64 8/9 t) (.f64 2/3 (pow.f64 t 2)))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (.f64 2/3 (pow.f64 t 2))))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(*.f64 2/3 (pow.f64 t 2))
(+.f64 (.f64 8/9 t) (.f64 2/3 (pow.f64 t 2)))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (.f64 2/3 (pow.f64 t 2))))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))

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 3)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (*.f64 t t)))
(+.f64 1/2 (fma.f64 t t (*.f64 2 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 2 (pow.f64 t 3) 1/2))
(+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 3)) (+.f64 (pow.f64 t 2) (.f64 -5 (pow.f64 t 4)))))
(+.f64 1/2 (+.f64 (fma.f64 2 (pow.f64 t 3) (.f64 t t)) (.f64 -5 (pow.f64 t 4))))
(+.f64 1/2 (fma.f64 2 (pow.f64 t 3) (fma.f64 t t (*.f64 -5 (pow.f64 t 4)))))
(+.f64 (fma.f64 t t 1/2) (fma.f64 -5 (pow.f64 t 4) (*.f64 2 (pow.f64 t 3))))
(fma.f64 t t (fma.f64 -5 (pow.f64 t 4) (fma.f64 2 (pow.f64 t 3) 1/2)))
(fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) (fma.f64 t -5 2) 1/2))
(*.f64 2/3 (pow.f64 t 2))
(.f64 (.f64 t t) 2/3)
(.f64 t (.f64 t 2/3))
(+.f64 (.f64 8/9 t) (.f64 2/3 (pow.f64 t 2)))
(fma.f64 8/9 t (.f64 (.f64 t t) 2/3))
(fma.f64 t 8/9 (.f64 (.f64 t t) 2/3))
(.f64 t (+.f64 (.f64 t 2/3) 8/9))
(*.f64 t (fma.f64 t 2/3 8/9))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (.f64 2/3 (pow.f64 t 2))))
(fma.f64 8/9 t (+.f64 (.f64 (.f64 t t) 2/3) 1/54))
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54))
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54))
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54)
(+.f64 (.f64 8/9 t) (+.f64 1/54 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t))))
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t))
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t))
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t)))
(*.f64 2/3 (pow.f64 t 2))
(.f64 (.f64 t t) 2/3)
(.f64 t (.f64 t 2/3))
(+.f64 (.f64 8/9 t) (.f64 2/3 (pow.f64 t 2)))
(fma.f64 8/9 t (.f64 (.f64 t t) 2/3))
(fma.f64 t 8/9 (.f64 (.f64 t t) 2/3))
(.f64 t (+.f64 (.f64 t 2/3) 8/9))
(*.f64 t (fma.f64 t 2/3 8/9))
(+.f64 (.f64 8/9 t) (+.f64 1/54 (.f64 2/3 (pow.f64 t 2))))
(fma.f64 8/9 t (+.f64 (.f64 (.f64 t t) 2/3) 1/54))
(fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54))
(fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54))
(fma.f64 t (fma.f64 t 2/3 8/9) 1/54)
(+.f64 (.f64 8/9 t) (+.f64 1/54 (+.f64 (.f64 2/3 (pow.f64 t 2)) (*.f64 2/81 (/.f64 1 t)))))
(fma.f64 8/9 t (+.f64 1/54 (fma.f64 2/3 (*.f64 t t) (/.f64 2/81 t))))
(+.f64 (fma.f64 t 8/9 (fma.f64 (*.f64 t t) 2/3 1/54)) (/.f64 2/81 t))
(+.f64 (fma.f64 t (*.f64 t 2/3) (fma.f64 t 8/9 1/54)) (/.f64 2/81 t))
(+.f64 1/54 (fma.f64 t (fma.f64 t 2/3 8/9) (/.f64 2/81 t)))

localize57.0ms (0.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))
	0.0b	(+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))
	0.0b	(.f64 4 (.f64 t t))
✓	0.1b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
✓	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
	14.3b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 109 to 69 computations (36.7% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`fma-def_binary64`
381×	`fma-neg_binary64`
336×	`log1p-udef_binary64`
334×	`expm1-udef_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	398	41
2	5938	41

Stop Event

1×	node limit

Counts

2 → 111

Calls

Call 1

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

Outputs

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

simplify147.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
474×	`associate-+l+_binary64`
456×	`fma-def_binary64`
403×	`associate-+r+_binary64`
368×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	312
1	82	306
2	217	287
3	671	253
4	1913	253
5	2934	253
6	4590	253
7	4819	253
8	5315	253
9	5963	253
10	6821	253
11	7449	253
12	7888	253

Stop Event

1×	node limit

Counts

135 → 131

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 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)))
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 -5 (pow.f64 t 4)))))
(*.f64 -4/3 (pow.f64 t 3))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (.f64 -10/9 (pow.f64 t 2)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 67/162 (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t))))
(*.f64 -4/3 (pow.f64 t 3))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (.f64 -10/9 (pow.f64 t 2)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t)))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 67/162 (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 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 (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 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 (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 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 (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(+.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 (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 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 (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 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 (fma.f64 t -8 4)))
(*.f64 -8 (pow.f64 t 3))
(+.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 (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 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 (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 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 (fma.f64 t -8 4)))
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 2) (.f64 -5 (pow.f64 t 4)))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (.f64 t t) (.f64 -5 (pow.f64 t 4)))))
(fma.f64 (pow.f64 t 3) -2 (+.f64 1/2 (fma.f64 t t (*.f64 -5 (pow.f64 t 4)))))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 -5 (pow.f64 t 4) (fma.f64 t t 1/2)))
(fma.f64 t (*.f64 (fma.f64 t -2 1) t) (fma.f64 -5 (pow.f64 t 4) 1/2))
(fma.f64 t (*.f64 t (fma.f64 t -2 1)) (fma.f64 -5 (pow.f64 t 4) 1/2))
(fma.f64 t t (fma.f64 -5 (pow.f64 t 4) (fma.f64 (pow.f64 t 3) -2 1/2)))
(*.f64 -4/3 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -4/3)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (.f64 -10/9 (pow.f64 t 2)))
(fma.f64 -4/3 (pow.f64 t 3) (.f64 (.f64 t t) -10/9))
(fma.f64 (.f64 t t) -10/9 (.f64 (pow.f64 t 3) -4/3))
(.f64 (.f64 t t) (+.f64 -10/9 (*.f64 t -4/3)))
(.f64 (.f64 t t) (fma.f64 t -4/3 -10/9))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t)))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 -10/9 (.f64 t t) (.f64 t 32/27)))
(fma.f64 (pow.f64 t 3) -4/3 (fma.f64 t 32/27 (.f64 (.f64 t t) -10/9)))
(fma.f64 t 32/27 (.f64 (.f64 t t) (+.f64 -10/9 (*.f64 t -4/3))))
(.f64 t (+.f64 32/27 (.f64 t (fma.f64 t -4/3 -10/9))))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 67/162 (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 (fma.f64 -10/9 (.f64 t t) (.f64 t 32/27)) 67/162))
(+.f64 (fma.f64 t 32/27 (.f64 (.f64 t t) -10/9)) (fma.f64 (pow.f64 t 3) -4/3 67/162))
(fma.f64 (pow.f64 t 3) -4/3 (fma.f64 t 32/27 (fma.f64 (*.f64 t t) -10/9 67/162)))
(fma.f64 t 32/27 (fma.f64 (*.f64 t t) (fma.f64 t -4/3 -10/9) 67/162))
(*.f64 -4/3 (pow.f64 t 3))
(*.f64 (pow.f64 t 3) -4/3)
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (.f64 -10/9 (pow.f64 t 2)))
(fma.f64 -4/3 (pow.f64 t 3) (.f64 (.f64 t t) -10/9))
(fma.f64 (.f64 t t) -10/9 (.f64 (pow.f64 t 3) -4/3))
(.f64 (.f64 t t) (+.f64 -10/9 (*.f64 t -4/3)))
(.f64 (.f64 t t) (fma.f64 t -4/3 -10/9))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t)))
(fma.f64 -4/3 (pow.f64 t 3) (fma.f64 -10/9 (.f64 t t) (.f64 t 32/27)))
(fma.f64 (pow.f64 t 3) -4/3 (fma.f64 t 32/27 (.f64 (.f64 t t) -10/9)))
(fma.f64 t 32/27 (.f64 (.f64 t t) (+.f64 -10/9 (*.f64 t -4/3))))
(.f64 t (+.f64 32/27 (.f64 t (fma.f64 t -4/3 -10/9))))
(+.f64 (.f64 -4/3 (pow.f64 t 3)) (+.f64 67/162 (+.f64 (.f64 -10/9 (pow.f64 t 2)) (*.f64 32/27 t))))
(fma.f64 -4/3 (pow.f64 t 3) (+.f64 (fma.f64 -10/9 (.f64 t t) (.f64 t 32/27)) 67/162))
(+.f64 (fma.f64 t 32/27 (.f64 (.f64 t t) -10/9)) (fma.f64 (pow.f64 t 3) -4/3 67/162))
(fma.f64 (pow.f64 t 3) -4/3 (fma.f64 t 32/27 (fma.f64 (*.f64 t t) -10/9 67/162)))
(fma.f64 t 32/27 (fma.f64 (*.f64 t t) (fma.f64 t -4/3 -10/9) 67/162))

eval1.6s (14.1%)

Compiler: Compiled 31931 to 23713 computations (25.7% saved)

prune218.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1156	4	1160
Fresh	2	3	5
Picked	0	1	1
Done	2	2	4
Total	1160	10	1170

Error

Counts

1170 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
▶	31.8b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1))))
▶	31.5b	(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
▶	31.5b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
✓	31.5b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
✓	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	30.8b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
	26.5b	5/6
▶	31.4b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))))
	25.8b	1/2

Compiler

Compiled 262 to 194 computations (26% saved)

localize45.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 t 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 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t))))
	0.0b	(/.f64 (*.f64 2 t) (+.f64 1 t))
	0.0b	(+.f64 1 (.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)))
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	0.2b	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))

Compiler

Compiled 111 to 78 computations (29.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

0.0ms

-inf

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

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

643×	`fma-def_binary64`
328×	`expm1-udef_binary64`
328×	`log1p-udef_binary64`
312×	`fma-neg_binary64`
199×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	34
1	395	30
2	5850	30

Stop Event

1×	node limit

Counts

1 → 35

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

Outputs

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

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

845×	`times-frac_binary64`
492×	`unswap-sqr_binary64`
453×	`associate-*l/_binary64`
441×	`associate-*r/_binary64`
335×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	207
1	109	203
2	281	201
3	768	201
4	2933	201

Stop Event

1×	node limit

Counts

47 → 49

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)))))

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/27 t)
	0.2b	(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
	0.0b	(+.f64 -2/9 (/.f64 1/27 t))
	0.0b	(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
✓	0.0b	(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
✓	0.0b	(+.f64 -2/9 (/.f64 1/27 t))
✓	0.2b	(/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)
	0.3b	(/.f64 1/27 t)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`unpow-prod-down_binary64`
445×	`log-prod_binary64`
272×	`pow2_binary64`
245×	`pow-prod-down_binary64`
193×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	214	30
2	2884	30

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -2/9 (/.f64 1/27 t)) (/.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (*.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 25/36 (-.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))) (/.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2) (-.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 -2/9 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(/.f64 1/27 t)) t) 2) (-.f64 25/36 (/.f64 (*.f64 5/6 (+.f64 -2/9 (/.f64 1/27 t))) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) (-.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 3))) (neg.f64 (fma.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) (-.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2))) (neg.f64 (-.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2) 25/36) (-.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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1 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (*.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t) 2)) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (*.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (sqrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (+.f64 -2/9 (/.f64 1/27 t))) (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) (+.f64 -2/9 (/.f64 1/27 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 1) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 t) -2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (cbrt.f64 (*.f64 t t))) (cbrt.f64 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (cbrt.f64 (*.f64 t t))) (/.f64 (sqrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (cbrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 t -1/2) (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) (sqrt.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) 2) (sqrt.f64 t)) (/.f64 (cbrt.f64 (+.f64 -2/9 (/.f64 1/27 t))) (sqrt.f64 t)) 5/6)))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

688×	`distribute-neg-frac_binary64`
599×	`div-sub_binary64`
562×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
425×	`times-frac_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	24	333
1	53	333
2	86	333
3	151	333
4	328	333
5	965	321
6	4458	285
7	7583	285

Stop Event

1×	node limit

Counts

204 → 183

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

939×	`prod-diff_binary64`
481×	`log-prod_binary64`
404×	`fma-def_binary64`
234×	`log-div_binary64`
210×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	241	21
2	3499	21

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))) (/.f64 (/.f64 1/729 (pow.f64 t 4)) (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) (cbrt.f64 (pow.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t))) 2)) (cbrt.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))) (sqrt.f64 (+.f64 5/6 (fma.f64 1/27 (pow.f64 t -2) (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3)) (/.f64 1 (fma.f64 (*.f64 1/27 (pow.f64 t -2)) (-.f64 (*.f64 1/27 (pow.f64 t -2)) (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (/.f64 1/729 (pow.f64 t 4))) (/.f64 1 (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/27 (pow.f64 t -2)) (-.f64 (*.f64 1/27 (pow.f64 t -2)) (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)) (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2)))) (-.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (/.f64 1/729 (pow.f64 t 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3)) (fma.f64 (*.f64 1/27 (pow.f64 t -2)) (-.f64 (*.f64 1/27 (pow.f64 t -2)) (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3)) (+.f64 (/.f64 1/729 (pow.f64 t 4)) (-.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (*.f64 (*.f64 1/27 (pow.f64 t -2)) (+.f64 5/6 (/.f64 -2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (/.f64 1/729 (pow.f64 t 4))) (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 1/19683 (pow.f64 (pow.f64 t -2) 3) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 3))) (neg.f64 (fma.f64 (*.f64 1/27 (pow.f64 t -2)) (-.f64 (*.f64 1/27 (pow.f64 t -2)) (+.f64 5/6 (/.f64 -2/9 t))) (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 5/6 (/.f64 -2/9 t)) 2) (/.f64 1/729 (pow.f64 t 4)))) (neg.f64 (+.f64 (/.f64 -2/9 t) (-.f64 5/6 (*.f64 1/27 (pow.f64 t -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/27 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (*.f64 (*.f64 t t) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))))) (*.f64 (*.f64 t t) (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (*.f64 (*.f64 (*.f64 t t) 27) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))))) (*.f64 (*.f64 (*.f64 t t) 27) (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Rules

586×	`distribute-neg-frac_binary64`
461×	`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	19	216
1	46	216
2	79	216
3	142	216
4	292	216
5	816	216
6	3582	204
7	6919	204

Stop Event

1×	node limit

Counts

130 → 116

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)))

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)

localize23.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 62 to 37 computations (40.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`log-prod_binary64`
598×	`prod-diff_binary64`
418×	`fma-def_binary64`
266×	`fma-neg_binary64`
244×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	276	26
2	4040	24

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

947×	`fma-neg_binary64`
806×	`fma-def_binary64`
705×	`associate-r_binary64`
422×	`associate-/r*_binary64`
370×	`associate-/l/_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	28	109
1	77	103
2	184	101
3	429	99
4	1275	99
5	4471	99
6	7182	95

Stop Event

1×	node limit

Counts

50 → 51

Calls

Call 1

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

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

localize90.0ms (0.8%)

Local error

Found 8 expressions with local error:

New	Error	Program
	14.3b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))
	3.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1))))
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
	0.0b	(.f64 4 (.f64 t t))
	0.0b	(.f64 4 (.f64 t t))
	0.1b	(.f64 (.f64 t t) (+.f64 4 (*.f64 t -8)))
✓	3.7b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (/.f64 (.f64 4 (*.f64 t t)) (+.f64 t 1))))
	14.3b	(/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1))

Compiler

Compiled 88 to 55 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`fma-def_binary64`
374×	`fma-neg_binary64`
314×	`log1p-udef_binary64`
312×	`expm1-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	373	30
2	5455	28

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
573×	`associate-/l/_binary64`
502×	`fma-neg_binary64`
496×	`times-frac_binary64`
330×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	161
1	81	143
2	206	141
3	562	140
4	1607	140
5	3768	140

Stop Event

1×	node limit

Counts

47 → 50

Calls

Call 1

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

eval908.0ms (8.1%)

Compiler: Compiled 25302 to 18836 computations (25.6% saved)

prune270.0ms (2.4%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	1059	6	1065
Fresh	1	1	2
Picked	1	0	1
Done	3	4	7
Total	1064	11	1075

Error

Counts

1075 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	25.8b	1/2
	31.3b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 4 (*.f64 t t))))
✓	15.2b	(/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))))
	29.3b	(/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))))
✓	31.5b	(+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))
✓	31.5b	(+.f64 (+.f64 5/6 (/.f64 -2/9 t)) (/.f64 1/27 (*.f64 t t)))
✓	31.5b	(+.f64 5/6 (/.f64 -2/9 t))
	32.0b	(+.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 -2/9 t) 5/6)) 1) (/.f64 1/27 (*.f64 t t)))
	26.5b	5/6
	31.5b	(+.f64 (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) (/.f64 1/27 (*.f64 t t)))
	28.5b	(/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (.f64 t t))))

Compiler

Compiled 156 to 117 computations (25% saved)

regimes72.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	t
10.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
8.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
4.0ms	(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))

Results

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

Compiler

Compiled 555 to 402 computations (27.6% saved)

regimes161.0ms (1.4%)

Counts

25 → 3

Calls

Call 1

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

Outputs

5/6

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

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

Calls

5 calls:

57.0ms	t
46.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
21.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
13.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
13.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

Error	Segments	Branch
0b	3	`t`
0.1b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.1b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.1b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.1b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 508 to 365 computations (28.1% saved)

bsearch141.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
64.0ms	283.4833925276201	214190.5853420067
76.0ms	-1.8639300950539016e+158	-2.2433369516229163e+147

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes155.0ms (1.4%)

Counts

22 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

72.0ms	t
20.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
18.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
17.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
13.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

Error	Segments	Branch
0.4b	3	`t`
0.4b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.4b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.4b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.4b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 413 to 296 computations (28.3% saved)

bsearch104.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.04269901262729462	283.4833925276201
66.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes84.0ms (0.8%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	t
16.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
15.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))
13.0ms	(/.f64 (*.f64 2 t) (+.f64 1 t))
8.0ms	(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))

Results

Error	Segments	Branch
0.5b	3	`t`
0.5b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.5b	2	`(.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (*.f64 2 t) (+.f64 1 t)))`
0.5b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`
0.5b	2	`(/.f64 (*.f64 2 t) (+.f64 1 t))`

Compiler

Compiled 211 to 154 computations (27% saved)

bsearch108.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
70.0ms	0.04269901262729462	283.4833925276201
38.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes36.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 72 to 55 computations (23.6% saved)

bsearch107.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	0.04269901262729462	283.4833925276201
56.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes21.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 57 to 44 computations (22.8% saved)

bsearch70.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.04269901262729462	283.4833925276201
35.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6
(+.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:

11.0ms

Results

Error	Segments	Branch
0.6b	3	`t`

Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch71.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.04269901262729462	283.4833925276201
36.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes10.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

Inputs
1/2
1/2
5/6

Outputs
5/6
1/2
5/6

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.9b	3	`t`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch68.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.04269901262729462	283.4833925276201
35.0ms	-24.277806467857882	-0.00016649943977368862

Compiler

Compiled 40 to 31 computations (22.5% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1/2
1/2

Outputs
1/2

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
25.8b	1	`t`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	404
1	92	404
2	93	404

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(if (<=.f64 t -186393009505390157338462316981160979162972625295714248763618010384936502108391298328110045405715028630109844450420858822607362307279015635362060022176798474240) 5/6 (if (<=.f64 t 4987092581848101/17592186044416) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 787657758135796352/18446744073709551616) (/.f64 (+.f64 1 (.f64 (.f64 t t) (+.f64 4 (.f64 t -8)))) (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 787657758135796352/18446744073709551616) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 (+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)) (/.f64 1/27 (*.f64 t t))) (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6833595010126111/281474976710656) 5/6 (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 5/6))
1/2

Outputs
(/.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))) (+.f64 2 (.f64 (/.f64 (.f64 2 t) (+.f64 1 t)) (/.f64 (.f64 2 t) (+.f64 1 t)))))
(if (<=.f64 t -186393009505390157338462316981160979162972625295714248763618010384936502108391298328110045405715028630109844450420858822607362307279015635362060022176798474240) 5/6 (if (<=.f64 t 4987092581848101/17592186044416) (/.f64 (+.f64 1 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1))) (+.f64 2 (/.f64 (/.f64 (.f64 4 (.f64 t t)) (+.f64 t 1)) (+.f64 t 1)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
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(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 (+.f64 5/6 (+.f64 (+.f64 1 (/.f64 -2/9 t)) -1)) (/.f64 1/27 (.f64 t t))) (if (<=.f64 t 6153576235435909/144115188075855872) (/.f64 (+.f64 1 (.f64 4 (.f64 t t))) (+.f64 2 (.f64 4 (*.f64 t t)))) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
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(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t)) (if (<=.f64 t 6153576235435909/144115188075855872) 1/2 (+.f64 5/6 (/.f64 (+.f64 -2/9 (/.f64 1/27 t)) t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6833595010126111/281474976710656) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 6153576235435909/144115188075855872) 1/2 (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6833595010126111/281474976710656) 5/6 (if (<=.f64 t 787657758135796352/18446744073709551616) 1/2 5/6))
(if (<=.f64 t -6833595010126111/281474976710656) 5/6 (if (<=.f64 t 6153576235435909/144115188075855872) 1/2 5/6))
1/2

Compiler

Compiled 286 to 218 computations (23.8% saved)

soundness0.0ms (0%)

end127.0ms (1.1%)

Compiler: Compiled 278 to 207 computations (25.5% saved)