Details

analyze26.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
50%	50%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 37 to 29 computations (21.6% saved)

sample1.3s (64.7%)

Results

1.3s

8256×

body

128

valid

preprocess48.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify36.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 8 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 113 to 87 computations (23% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series5.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite68.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 103

Calls

Call 1

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

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

simplify43.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	638
1	240	628
2	632	619
3	1808	614
4	4300	614

Stop Event

1×	node limit

Counts

151 → 159

Calls

Call 1

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

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

prune336.0ms (16.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	196	2	198

Error

Counts

198 → 2

Alt Table

Status	Error	Program
▶	28.1b	1/2
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 5764 to 4488 computations (22.1% saved)

localize0.0ms (0%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

2 → 2

Alt Table

Status	Error	Program
✓	28.1b	1/2
✓	0.0b	(/.f64 (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 1) (fma.f64 t (/.f64 4 (+.f64 (/.f64 1 t) (+.f64 2 t))) 2))

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes62.0ms (3.1%)

Accuracy

Total -26.1b remaining (-286557.2%)

Threshold costs -26.1b (-286557.2%)

Counts

18 → 1

Compiler

Compiled 405 to 313 computations (22.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	16	36

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end70.0ms (3.5%)

Stop Event

1×

done

Compiler

Compiled 78 to 60 computations (23.1% saved)

Details

analyze26.0ms (1.3%)

sample1.3s (64.7%)

preprocess48.0ms (2.4%)

simplify36.0ms (1.8%)

prune4.0ms (0.2%)

localize11.0ms (0.5%)

series5.0ms (0.2%)

rewrite68.0ms (3.4%)

simplify43.0ms (2.1%)

prune336.0ms (16.6%)

localize0.0ms (0%)

prune1.0ms (0.1%)

regimes62.0ms (3.1%)

simplify2.0ms (0.1%)

end70.0ms (3.5%)

Profiling