Details

analyze298.0ms (3.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
50%	50%	0%	5
50%	50%	0%	6
50%	50%	0%	7
50%	50%	0%	8
50%	50%	0%	9
50%	50%	0%	10
50%	50%	0%	11
50%	49.9%	0%	12

Compiler

Compiled 31 to 27 computations (12.9% saved)

sample1.6s (20.8%)

Results

1.6s

8256×

body

256

valid

preprocess56.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

716×	`fma-def_binary64`
418×	`distribute-rgt-in_binary64`
409×	`div-sub_binary64`
342×	`times-frac_binary64`
304×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1344	26
6	4717	25
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
418×	`distribute-rgt-in_binary64`
409×	`div-sub_binary64`
342×	`times-frac_binary64`
304×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	23	41
2	47	41
3	120	29
4	342	29
5	1344	26
6	4717	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 47 to 41 computations (12.8% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))

Status

Error

Program

▶

0.0b

(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

▶

0.0b

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

Compiler

Compiled 48 to 42 computations (12.5% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓	0.0b	(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
✓	0.0b	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
✓	0.0b	(+.f64 (/.f64 4 (+.f64 1 t)) -8)

Compiler

Compiled 78 to 66 computations (15.4% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
1.0ms	t	@	0	(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0ms	t	@	inf	(+.f64 (/.f64 4 (+.f64 1 t)) -8)
0.0ms	t	@	inf	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
0.0ms	t	@	inf	(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))

rewrite94.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`prod-diff_binary64`
446×	`fma-def_binary64`
288×	`log-div_binary64`
276×	`expm1-udef_binary64`
276×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	73
1	325	73
2	4410	73

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(+.f64 (/.f64 4 (+.f64 1 t)) -8)
(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))
(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

Outputs
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simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

716×	`times-frac_binary64`
672×	`cancel-sign-sub-inv_binary64`
366×	`fma-def_binary64`
337×	`distribute-rgt-out_binary64`
327×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	613
1	266	592
2	695	586
3	1876	584
4	4671	584

Stop Event

1×	node limit

Counts

193 → 200

Calls

Call 1

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

Outputs
-4
(-.f64 (*.f64 -4 t) 4)
(fma.f64 -4 t -4)
(-.f64 (+.f64 (.f64 -4 t) (.f64 4 (pow.f64 t 2))) 4)
(+.f64 (.f64 -4 t) (fma.f64 4 (.f64 t t) -4))
(fma.f64 -4 t (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t (*.f64 t 4) (fma.f64 -4 t -4))
(fma.f64 t (+.f64 -4 (*.f64 t 4)) -4)
(-.f64 (+.f64 (.f64 -4 t) (+.f64 (.f64 -4 (pow.f64 t 3)) (*.f64 4 (pow.f64 t 2)))) 4)
(+.f64 (fma.f64 -4 t (fma.f64 -4 (pow.f64 t 3) (.f64 4 (.f64 t t)))) -4)
(+.f64 (.f64 -4 (+.f64 t (pow.f64 t 3))) (fma.f64 4 (.f64 t t) -4))
(fma.f64 -4 (+.f64 t (pow.f64 t 3)) (fma.f64 t (*.f64 t 4) -4))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (/.f64 4 t) 8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (.f64 4 (/.f64 1 t)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 (/.f64 4 t) t)))
(-.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t)))))
(+.f64 -8 (+.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (/.f64 -4 (*.f64 t t))))
-8
(-.f64 (*.f64 4 (/.f64 1 t)) 8)
(-.f64 (/.f64 4 t) 8)
(+.f64 -8 (/.f64 4 t))
(-.f64 (.f64 4 (/.f64 1 t)) (+.f64 (.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 4 (*.f64 t t))))
(-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t))
(-.f64 (/.f64 4 t) (+.f64 8 (/.f64 (/.f64 4 t) t)))
(-.f64 (+.f64 -8 (/.f64 4 t)) (/.f64 4 (*.f64 t t)))
(-.f64 (+.f64 (.f64 4 (/.f64 1 t)) (.f64 4 (/.f64 1 (pow.f64 t 3)))) (+.f64 (*.f64 4 (/.f64 1 (pow.f64 t 2))) 8))
(+.f64 (/.f64 4 t) (-.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 8 (/.f64 4 (*.f64 t t)))))
(+.f64 (/.f64 4 (pow.f64 t 3)) (-.f64 (-.f64 (/.f64 4 t) 8) (/.f64 (/.f64 4 t) t)))
(+.f64 -8 (+.f64 (/.f64 4 (pow.f64 t 3)) (+.f64 (/.f64 4 t) (/.f64 -4 (*.f64 t t)))))
(+.f64 -8 (+.f64 (/.f64 4 t) (+.f64 (/.f64 4 (pow.f64 t 3)) (/.f64 -4 (*.f64 t t)))))
(+.f64 -8 (+.f64 (+.f64 (/.f64 4 t) (/.f64 4 (pow.f64 t 3))) (/.f64 -4 (*.f64 t t))))
-4
(-.f64 (*.f64 4 (pow.f64 t 2)) 4)
(fma.f64 4 (*.f64 t t) -4)
(fma.f64 t (*.f64 t 4) -4)
(-.f64 (+.f64 (.f64 -8 (pow.f64 t 3)) (.f64 4 (pow.f64 t 2))) 4)
(+.f64 (.f64 (pow.f64 t 3) -8) (fma.f64 4 (.f64 t t) -4))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (*.f64 t t) -4))
(fma.f64 t (*.f64 t 4) (fma.f64 (pow.f64 t 3) -8 -4))
(fma.f64 (.f64 t t) (+.f64 4 (.f64 t -8)) -4)
(-.f64 (+.f64 (.f64 -8 (pow.f64 t 3)) (+.f64 (.f64 4 (pow.f64 t 2)) (*.f64 12 (pow.f64 t 4)))) 4)
(+.f64 (fma.f64 -8 (pow.f64 t 3) (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))) -4)
(+.f64 -4 (fma.f64 (pow.f64 t 3) -8 (fma.f64 4 (.f64 t t) (.f64 12 (pow.f64 t 4)))))
(fma.f64 (pow.f64 t 3) -8 (fma.f64 t (*.f64 t 4) (fma.f64 12 (pow.f64 t 4) -4)))
(/.f64 -8 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 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.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 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 3))) (.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
(/.f64 -8 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 12 (/.f64 1 (pow.f64 t 2))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 3))) (*.f64 8 (/.f64 1 t))))
(-.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 16 (pow.f64 t 3)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3))))
(+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t)))
(-.f64 (+.f64 (.f64 12 (/.f64 1 (pow.f64 t 2))) (.f64 20 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 t 3))) (.f64 8 (/.f64 1 t))))
(-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 20 (pow.f64 t 4))) (+.f64 (/.f64 8 t) (/.f64 16 (pow.f64 t 3))))
(+.f64 (/.f64 20 (pow.f64 t 4)) (-.f64 (+.f64 (/.f64 12 (*.f64 t t)) (/.f64 -8 t)) (/.f64 16 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (+.f64 (/.f64 12 (*.f64 t t)) (-.f64 (/.f64 -16 (pow.f64 t 3)) (/.f64 8 t))) (/.f64 20 (pow.f64 t 4)))
(+.f64 (/.f64 12 (*.f64 t t)) (+.f64 (/.f64 20 (pow.f64 t 4)) (+.f64 (/.f64 -8 t) (/.f64 -16 (pow.f64 t 3)))))
-1/2
(-.f64 (pow.f64 t 2) 1/2)
(+.f64 (*.f64 t t) -1/2)
(fma.f64 t t -1/2)
(-.f64 (+.f64 (*.f64 -2 (pow.f64 t 3)) (pow.f64 t 2)) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (*.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 (*.f64 -2 (pow.f64 t 3)) (+.f64 (pow.f64 t 4) (pow.f64 t 2))) 1/2)
(+.f64 (fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) (pow.f64 t 4))) -1/2)
(+.f64 (fma.f64 (pow.f64 t 3) -2 (pow.f64 t 4)) (fma.f64 t t -1/2))
(+.f64 (fma.f64 t t -1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
(+.f64 (*.f64 t t) (fma.f64 (pow.f64 t 3) (+.f64 t -2) -1/2))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(-.f64 -1/6 (/.f64 2/9 t))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (.f64 2/9 (/.f64 1 t))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 -1/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 4/81 (pow.f64 t 3))))
-1/6
(neg.f64 (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 -1/6 (neg.f64 (/.f64 2/9 t)))
(-.f64 -1/6 (/.f64 2/9 t))
(+.f64 (/.f64 -2/9 t) -1/6)
(-.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 1/6 (.f64 2/9 (/.f64 1 t))))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 1/6 (/.f64 2/9 t)))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (/.f64 1/27 (*.f64 t t)))
(+.f64 -1/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 1/27 (*.f64 t t)))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (.f64 4/81 (/.f64 1 (pow.f64 t 3)))) (+.f64 1/6 (*.f64 2/9 (/.f64 1 t))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 1/6 (/.f64 2/9 t))))
(+.f64 (-.f64 -1/6 (/.f64 2/9 t)) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 (/.f64 -2/9 t) -1/6) (/.f64 4/81 (pow.f64 t 3))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 (*.f64 t t) 1/2)
(fma.f64 t t 1/2)
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (pow.f64 t 2)))
(fma.f64 -2 (pow.f64 t 3) (+.f64 (*.f64 t t) 1/2))
(fma.f64 (pow.f64 t 3) -2 (fma.f64 t t 1/2))
(fma.f64 t t (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 (*.f64 -2 (pow.f64 t 3)) (+.f64 1/2 (+.f64 (pow.f64 t 4) (pow.f64 t 2))))
(fma.f64 -2 (pow.f64 t 3) (+.f64 1/2 (+.f64 (*.f64 t t) (pow.f64 t 4))))
(+.f64 (fma.f64 t t (pow.f64 t 4)) (fma.f64 (pow.f64 t 3) -2 1/2))
(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2))))
(+.f64 (fma.f64 t t 1/2) (*.f64 (pow.f64 t 3) (+.f64 t -2)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 -2/9 t)))
5/6
(-.f64 5/6 (*.f64 2/9 (/.f64 1 t)))
(-.f64 5/6 (/.f64 2/9 t))
(+.f64 5/6 (/.f64 -2/9 t))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) 5/6) (.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 5/6 (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
(-.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 t 2))) (+.f64 5/6 (.f64 4/81 (/.f64 1 (pow.f64 t 3))))) (*.f64 2/9 (/.f64 1 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 2/9 t)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 4/81 (pow.f64 t 3)) (+.f64 5/6 (/.f64 -2/9 t))))
(+.f64 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 4/81 (pow.f64 t 3))) (+.f64 5/6 (/.f64 -2/9 t)))
(-.f64 (/.f64 1/27 (*.f64 t t)) (-.f64 (/.f64 2/9 t) (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6)))
(+.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (+.f64 (/.f64 4/81 (pow.f64 t 3)) 5/6) (/.f64 -2/9 t)))

localize50.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))
✓	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
✓	0.0b	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.6b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 139 to 115 computations (17.3% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite101.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`log-prod_binary64`
441×	`prod-diff_binary64`
363×	`fma-def_binary64`
315×	`log-div_binary64`
275×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	314	88
2	4589	88

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 2 (.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))) (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 1 (/.f64 1 t))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 2 (/.f64 (/.f64 -2 t) (+.f64 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simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

474×	`fma-def_binary64`
434×	`sub-neg_binary64`
408×	`associate-l_binary64`
341×	`distribute-neg-frac_binary64`
329×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	611
1	275	597
2	746	587
3	2226	578
4	6326	578

Stop Event

1×	node limit

Counts

195 → 203

Calls

Call 1

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

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

eval379.0ms (5%)

Compiler: Compiled 13104 to 11452 computations (12.6% saved)

prune60.0ms (0.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	453	10	463
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	454	11	465

Error

Counts

465 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶	30.7b	(+.f64 1/2 (fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2))))
▶	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	27.4b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
▶	24.7b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))))
▶	24.9b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 t (.f64 t 4)))))
	32.2b	(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
	25.7b	1/2
	30.6b	(-.f64 1 (-.f64 1/2 (*.f64 t t)))
	27.6b	5/6
	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))

Compiler

Compiled 200 to 160 computations (20% saved)

localize22.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 65 to 44 computations (32.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

631×	`log-prod_binary64`
623×	`prod-diff_binary64`
377×	`fma-def_binary64`
242×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	296	44
2	3937	44

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

730×	`fma-def_binary64`
492×	`unswap-sqr_binary64`
489×	`distribute-neg-frac_binary64`
488×	`associate-/r*_binary64`
373×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	531
1	173	508
2	497	497
3	1604	476
4	5785	476

Stop Event

1×	node limit

Counts

163 → 160

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite82.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify11.0ms (0.2%)

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))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 25 computations (16.7% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	t	@	0	(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
1.0ms	t	@	0	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))
0.0ms	t	@	inf	(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
0.0ms	t	@	-inf	(/.f64 -1 (+.f64 (/.f64 -8 t) 6))
0.0ms	t	@	inf	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))

rewrite77.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`unpow-prod-down_binary64`
420×	`log-prod_binary64`
293×	`prod-diff_binary64`
271×	`pow2_binary64`
244×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	222	23
2	2799	23

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 (/.f64 -8 t) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 (/.f64 -8 t) 6))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 -8 t) 6) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-neg_binary64`
646×	`fma-def_binary64`
606×	`associate-/r*_binary64`
454×	`times-frac_binary64`
426×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	305
1	150	291
2	400	289
3	1202	274
4	3515	274

Stop Event

1×	node limit

Counts

125 → 129

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 t (.f64 t 4)))))
✓	0.5b	(/.f64 1 (+.f64 2 (.f64 t (.f64 t 4))))

Compiler

Compiled 40 to 30 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

468×	`log-prod_binary64`
359×	`exp-prod_binary64`
320×	`prod-diff_binary64`
265×	`pow2_binary64`
261×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	29
1	220	25
2	2753	25

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

579×	`fma-def_binary64`
427×	`distribute-neg-frac_binary64`
413×	`unswap-sqr_binary64`
385×	`associate-/r*_binary64`
346×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	373
1	152	366
2	395	360
3	1127	360
4	4646	360

Stop Event

1×	node limit

Counts

122 → 126

Calls

Call 1

Inputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (.f64 2 (pow.f64 t 4))))
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 t 8))) (.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(/.f64 1/4 (pow.f64 t 2))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 t 8))) (.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))

Outputs
1/2
(+.f64 (*.f64 -1 (pow.f64 t 2)) 1/2)
(fma.f64 -1 (*.f64 t t) 1/2)
(-.f64 1/2 (*.f64 t t))
(fma.f64 t (neg.f64 t) 1/2)
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (.f64 2 (pow.f64 t 4))))
(+.f64 (fma.f64 -1 (.f64 t t) 1/2) (.f64 2 (pow.f64 t 4)))
(-.f64 (fma.f64 2 (pow.f64 t 4) 1/2) (*.f64 t t))
(-.f64 1/2 (fma.f64 (pow.f64 t 4) -2 (*.f64 t t)))
(+.f64 (.f64 -1 (pow.f64 t 2)) (+.f64 1/2 (+.f64 (.f64 2 (pow.f64 t 4)) (*.f64 -4 (pow.f64 t 6)))))
(+.f64 (fma.f64 -1 (.f64 t t) 1/2) (fma.f64 2 (pow.f64 t 4) (.f64 -4 (pow.f64 t 6))))
(+.f64 (-.f64 1/2 (.f64 t t)) (fma.f64 -4 (pow.f64 t 6) (.f64 2 (pow.f64 t 4))))
(-.f64 (fma.f64 2 (pow.f64 t 4) (fma.f64 -4 (pow.f64 t 6) 1/2)) (*.f64 t t))
(-.f64 (fma.f64 2 (pow.f64 t 4) 1/2) (fma.f64 t t (*.f64 4 (pow.f64 t 6))))
(-.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 (pow.f64 t 4) -2 (*.f64 t t))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (-.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 1/8 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (/.f64 1/16 (pow.f64 t 6)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 t 8))) (.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 8))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/32 (pow.f64 t 8)))) (/.f64 -1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 8))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/16 (pow.f64 t 6))) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8))))
(/.f64 1/4 (pow.f64 t 2))
(/.f64 1/4 (*.f64 t t))
(-.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (*.f64 1/8 (/.f64 1 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (-.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 1/8 (pow.f64 t 4))))
(+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/8 (pow.f64 t 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (/.f64 1/16 (pow.f64 t 6)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 t 2))) (.f64 1/16 (/.f64 1 (pow.f64 t 6)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 t 8))) (.f64 1/8 (/.f64 1 (pow.f64 t 4)))))
(-.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6))) (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/32 (pow.f64 t 8))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 t 6)) (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/32 (pow.f64 t 8)))) (/.f64 -1/8 (pow.f64 t 4)))
(+.f64 (/.f64 1/16 (pow.f64 t 6)) (+.f64 (/.f64 1/4 (*.f64 t t)) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8)))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/8 (pow.f64 t 4))) (+.f64 (/.f64 1/16 (pow.f64 t 6)) (/.f64 -1/32 (pow.f64 t 8))))
(+.f64 (-.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 -1/16 (pow.f64 t 6))) (+.f64 (/.f64 -1/8 (pow.f64 t 4)) (/.f64 -1/32 (pow.f64 t 8))))
1/2
(+.f64 1/2 (pow.f64 t 2))
(+.f64 1/2 (*.f64 t t))
(fma.f64 t t 1/2)
(+.f64 1/2 (+.f64 (*.f64 -2 (pow.f64 t 4)) (pow.f64 t 2)))
(+.f64 1/2 (fma.f64 -2 (pow.f64 t 4) (*.f64 t t)))
(+.f64 1/2 (fma.f64 (pow.f64 t 4) -2 (*.f64 t t)))
(fma.f64 t t (fma.f64 (pow.f64 t 4) -2 1/2))
(+.f64 1/2 (+.f64 (.f64 4 (pow.f64 t 6)) (+.f64 (.f64 -2 (pow.f64 t 4)) (pow.f64 t 2))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 -2 (pow.f64 t 4) (*.f64 t t))))
(+.f64 1/2 (fma.f64 4 (pow.f64 t 6) (fma.f64 (pow.f64 t 4) -2 (*.f64 t t))))
(fma.f64 4 (pow.f64 t 6) (fma.f64 t t (fma.f64 (pow.f64 t 4) -2 1/2)))
(fma.f64 (pow.f64 t 4) -2 (fma.f64 4 (pow.f64 t 6) (fma.f64 t t 1/2)))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 -1/4 (*.f64 t t))) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))
1
(-.f64 1 (*.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(-.f64 1 (/.f64 1/4 (*.f64 t t)))
(+.f64 1 (/.f64 -1/4 (*.f64 t t)))
(+.f64 1 (/.f64 (/.f64 -1/4 t) t))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (.f64 1/4 (/.f64 1 (pow.f64 t 2))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 (/.f64 -1/4 t) t)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 t 4)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 t 6))) (*.f64 1/4 (/.f64 1 (pow.f64 t 2)))))
(+.f64 1 (-.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 1/4 (*.f64 t t)) (/.f64 1/16 (pow.f64 t 6)))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (/.f64 -1/4 (*.f64 t t))) (/.f64 1/16 (pow.f64 t 6))))
(+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (+.f64 1 (/.f64 -1/4 (*.f64 t t))) (/.f64 -1/16 (pow.f64 t 6))))
(+.f64 1 (+.f64 (/.f64 1/8 (pow.f64 t 4)) (+.f64 (/.f64 (/.f64 -1/4 t) t) (/.f64 -1/16 (pow.f64 t 6)))))

localize49.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2)))
✓	0.0b	(*.f64 (pow.f64 t 3) (+.f64 t -2))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite65.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
820×	`add-log-exp_binary64`
819×	`log1p-expm1-u_binary64`
819×	`expm1-log1p-u_binary64`
804×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	184	24
2	2239	24

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(*.f64 (pow.f64 t 3) (+.f64 t -2))
(fma.f64 t t (*.f64 (pow.f64 t 3) (+.f64 t -2)))

Outputs

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

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

simplify100.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

748×	`*-commutative_binary64`
650×	`associate-r_binary64`
488×	`associate-+l+_binary64`
485×	`associate-+r+_binary64`
485×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	261
1	37	249
2	79	232
3	224	232
4	787	232
5	2903	232
6	3135	232
7	3377	232
8	3959	232
9	5524	232
10	7122	232

Stop Event

1×	node limit

Counts

70 → 56

Calls

Call 1

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

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

eval298.0ms (4%)

Compiler: Compiled 8953 to 7333 computations (18.1% saved)

prune73.0ms (1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	522	4	526
Fresh	1	4	5
Picked	1	0	1
Done	1	4	5
Total	525	12	537

Error

Counts

537 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	30.7b	(+.f64 1/2 (.f64 (.f64 t t) (fma.f64 t (+.f64 -2 t) 1)))
	25.7b	1/2
▶	30.8b	(+.f64 1/2 (.f64 t (fma.f64 -2 (.f64 t t) t)))
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
▶	30.6b	(+.f64 1/2 (*.f64 t t))
	27.6b	5/6
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓	24.7b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 (.f64 t t) (+.f64 4 (*.f64 t -8))))))
✓	24.9b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 t (.f64 t 4)))))
▶	32.2b	(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
▶	32.2b	(+.f64 5/6 (+.f64 (/.f64 1/27 (*.f64 t t)) (/.f64 -2/9 t)))
▶	32.5b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))

Compiler

Compiled 184 to 142 computations (22.8% saved)

localize6.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 5/6 (-.f64 (+.f64 1 (/.f64 -2/9 t)) 1))
	0.4b	(/.f64 -2/9 t)
✓	3.8b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1)

Compiler

Compiled 29 to 24 computations (17.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`unpow-prod-down_binary64`
411×	`fma-def_binary64`
379×	`prod-diff_binary64`
365×	`log-prod_binary64`
243×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	216	11
2	3083	11

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -2/9 t))))) (#(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 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (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 2/9 (pow.f64 (/.f64 1 (neg.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 t) -2/9)))) (#(struct:change #<rule egg-rr> (2) ((x 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.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 (/.f64 4/81 (*.f64 t t)) (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(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 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (pow.f64 (/.f64 1 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (pow.f64 (/.f64 1 (-.f64 5/6 (/.f64 -2/9 t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (+.f64 (/.f64 -2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -2/9 t) 5/6) 2) (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 1/3) (cbrt.f64 (sqrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 2) 3) (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (/.f64 -2/9 t) 5/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 25/36 (*.f64 (/.f64 -2/9 t) 5/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t))) (-.f64 5/6 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) (neg.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 5/6 (/.f64 -2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 3) 1) (+.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) (+.f64 1 (*.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 11/6 (/.f64 -2/9 t)) 2) 1) (+.f64 (+.f64 11/6 (/.f64 -2/9 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (fma.f64 (/.f64 -2/9 t) (-.f64 (/.f64 -2/9 t) 5/6) 25/36) (+.f64 125/216 (/.f64 -8/729 (pow.f64 t 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 5/6 (/.f64 -2/9 t)) (-.f64 25/36 (/.f64 4/81 (*.f64 t t)))) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 expm1.f64 (log.f64 (+.f64 11/6 (/.f64 -2/9 t))))))) (#(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 exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -2/9 t) 5/6)) 1))))) (#(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 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 11/6 (/.f64 -2/9 t)) -1)))) (#(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 (/.f64 -2/9 t) 1 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -2/9 t)) 1 -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 -2/9 t)) (cbrt.f64 (/.f64 4/81 (*.f64 t t))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4/81 (*.f64 t t))) (cbrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -2/9 t)) (sqrt.f64 (/.f64 -2/9 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 (neg.f64 t)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 (/.f64 -2/9 t) 2))) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 -8/729 (pow.f64 t 3))) (/.f64 1 (fma.f64 (/.f64 -2/9 t) (+.f64 (/.f64 -2/9 t) -1) 1)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) -2/9 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 -2/9 t)))) (/.f64 1 (+.f64 (/.f64 -2/9 t) 2)) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 11/6 (/.f64 -2/9 t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 -2/9 t)))) 5/6)))))

simplify17.0ms (0.2%)

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	117
1	20	117
2	31	117
3	47	117
4	62	117
5	80	117
6	98	117
7	113	117
8	120	117

Stop Event

1×

saturated

Counts

188 → 167

Calls

Call 1

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

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite112.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

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

Stop Event

1×	node limit

Counts

213 → 188

Calls

Call 1

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

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

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 20 computations (37.5% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite104.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`log-prod_binary64`
391×	`fma-def_binary64`
328×	`pow-prod-down_binary64`
306×	`pow2_binary64`
268×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	242	24
2	3502	24

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2/9 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.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)) (cbrt.f64 (*.f64 4/81 (pow.f64 t -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 4/81 (pow.f64 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 (*.f64 4/81 (pow.f64 t -2)) 1/2)))) (#(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 (*.f64 8/729 (pow.f64 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 pow.f64 (/.f64 (*.f64 t 9/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4/81 (pow.f64 t -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 8/729 (pow.f64 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 exp.f64 (*.f64 (log.f64 (/.f64 2/9 t)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2/9 t) -5/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 4/81 (pow.f64 t -2)) (+.f64 (/.f64 2/9 t) 5/6)) (/.f64 25/36 (+.f64 (/.f64 2/9 t) 5/6)))))) (#(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 (fma.f64 8/729 (pow.f64 t -3) -125/216) (/.f64 1 (-.f64 (fma.f64 4/81 (pow.f64 t -2) 25/36) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4/81 (pow.f64 t -2) -25/36) (/.f64 1 (+.f64 (/.f64 2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 4/81 (pow.f64 t -2) 25/36) (/.f64 -5/27 t)) (fma.f64 8/729 (pow.f64 t -3) -125/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 2/9 t) 5/6) (fma.f64 4/81 (pow.f64 t -2) -25/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/729 (pow.f64 t -3) -125/216) (-.f64 (fma.f64 4/81 (pow.f64 t -2) 25/36) (/.f64 -5/27 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 8/729 (pow.f64 t -3) -125/216) (+.f64 25/36 (-.f64 (*.f64 4/81 (pow.f64 t -2)) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 4/81 (pow.f64 t -2) -25/36) (+.f64 (/.f64 2/9 t) 5/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 8/729 (pow.f64 t -3) -125/216)) (neg.f64 (-.f64 (fma.f64 4/81 (pow.f64 t -2) 25/36) (/.f64 -5/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 4/81 (pow.f64 t -2) -25/36)) (neg.f64 (+.f64 (/.f64 2/9 t) 5/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 25/36 (*.f64 4/81 (pow.f64 t -2))) (-.f64 -5/6 (/.f64 2/9 t)))))) (#(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) 2) 1/2)))) (#(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 pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) -5/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 4/81 (pow.f64 t -2) 25/36) (/.f64 -5/27 t)) (fma.f64 8/729 (pow.f64 t -3) -125/216)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 2/9 t) 5/6) (fma.f64 4/81 (pow.f64 t -2) -25/36)) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2/9 t) -5/6)) 1))))) (#(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 (/.f64 2/9 t) 1 -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 (cbrt.f64 (/.f64 2/9 t)) (cbrt.f64 (*.f64 4/81 (pow.f64 t -2))) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 4/81 (pow.f64 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)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2/9 (/.f64 1 (neg.f64 t)) -5/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 t) 2/9 -5/6)))))

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

simplify58.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

581×	`distribute-neg-frac_binary64`
527×	`fma-neg_binary64`
450×	`div-sub_binary64`
434×	`unswap-sqr_binary64`
417×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	22	201
1	51	201
2	86	201
3	148	201
4	298	201
5	821	201
6	3591	189
7	7016	189

Stop Event

1×	node limit

Counts

204 → 194

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -2 (*.f64 t t) t)
✓	0.0b	(.f64 t (fma.f64 -2 (.f64 t t) t))

Compiler

Compiled 31 to 14 computations (54.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
496×	`add-log-exp_binary64`
496×	`log1p-expm1-u_binary64`
496×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	121	19
2	1388	19

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 t (fma.f64 -2 (.f64 t t) t))
(fma.f64 -2 (*.f64 t t) t)

Outputs

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

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

simplify140.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1225×	`fma-def_binary64`
649×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
427×	`*-commutative_binary64`
410×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	204
1	29	204
2	58	204
3	132	204
4	377	204
5	1506	204
6	3336	204
7	4025	204
8	4354	204
9	4675	204
10	5073	204
11	5637	204
12	6287	204
13	7014	204
14	7615	204
15	7938	204

Stop Event

1×	node limit

Counts

58 → 44

Calls

Call 1

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

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

eval413.0ms (5.5%)

Compiler: Compiled 10789 to 8560 computations (20.7% saved)

prune133.0ms (1.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	659	4	663
Fresh	1	2	3
Picked	1	0	1
Done	4	4	8
Total	665	10	675

Error

Counts

675 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.8b	(+.f64 1/2 (.f64 t (+.f64 (.f64 -2 (*.f64 t t)) t)))
	27.6b	5/6
▶	30.7b	(+.f64 1/2 (.f64 (.f64 t t) (fma.f64 t (+.f64 -2 t) 1)))
	25.7b	1/2
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶	32.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	32.2b	(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	30.6b	(+.f64 1/2 (*.f64 t t))
▶	32.2b	(+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)

Compiler

Compiled 89 to 70 computations (21.3% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 39 to 19 computations (51.3% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite128.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
764×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	157	26
2	2201	26

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs

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

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

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

simplify196.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1225×	`fma-def_binary64`
649×	`sqr-pow_binary64`
536×	`unswap-sqr_binary64`
427×	`*-commutative_binary64`
410×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	288
1	29	288
2	58	288
3	132	288
4	377	288
5	1506	288
6	3336	288
7	4025	288
8	4354	288
9	4675	288
10	5073	288
11	5637	288
12	6287	288
13	7014	288
14	7615	288
15	7938	288

Stop Event

1×	node limit

Counts

110 → 84

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 t t) (fma.f64 t (+.f64 -2 t) 1))

Compiler

Compiled 39 to 23 computations (41% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`pow1_binary64`
762×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
746×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	167	14
2	2073	14

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(.f64 (.f64 t t) (fma.f64 t (+.f64 -2 t) 1))

Outputs

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

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

761×	`*-commutative_binary64`
664×	`associate-r_binary64`
488×	`associate-+l+_binary64`
485×	`associate-+r+_binary64`
485×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	147
1	37	135
2	79	127
3	227	127
4	793	127
5	2926	127
6	3144	127
7	3385	127
8	3967	127
9	5530	127
10	7128	127

Stop Event

1×	node limit

Counts

27 → 24

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)
✓	0.0b	(-.f64 (/.f64 1/27 t) 2/9)
✓	0.2b	(/.f64 (-.f64 (/.f64 1/27 t) 2/9) t)
✓	0.4b	(/.f64 1/27 t)

Compiler

Compiled 29 to 22 computations (24.1% saved)

series4.0ms (0.1%)

Counts

4 → 36

Calls

12 calls:

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

rewrite124.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`log-prod_binary64`
370×	`exp-prod_binary64`
280×	`pow2_binary64`
254×	`pow-prod-down_binary64`
243×	`prod-diff_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	219	34
2	2996	34

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

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

simplify74.0ms (1%)

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

303 → 281

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)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

963×	`pow1_binary64`
912×	`log1p-expm1-u_binary64`
912×	`expm1-log1p-u_binary64`
911×	`add-log-exp_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	7
2	2388	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -2/9 t) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -2/9 t) 5/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/6 (+.f64 1 (/.f64 -2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -2/9 t) -1/6) 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 (+.f64 (/.f64 -2/9 t) 5/6) 1)))) (#(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 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (/.f64 1 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 -2/9 t) 7/6) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216) (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (-.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (+.f64 (/.f64 -2/9 t) 7/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36) (-.f64 (+.f64 1 (/.f64 -2/9 t)) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 3) -1/216)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) (+.f64 1/36 (*.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 -2/9 t)) 2) -1/36)) (neg.f64 (+.f64 (/.f64 -2/9 t) 7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 -2/9 t) -1/6) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6)) (+.f64 (/.f64 -2/9 t) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 -2/9 t) -1/6) (+.f64 (/.f64 -2/9 t) -1/6))) (-.f64 1 (+.f64 (/.f64 -2/9 t) -1/6)))))) (#(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 log.f64 (+.f64 1 (expm1.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 1 (+.f64 1 (/.f64 -2/9 t)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) 2) (cbrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) (sqrt.f64 (+.f64 1 (/.f64 -2/9 t))) -1/6)))))

simplify16.0ms (0.2%)

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

49 → 41

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))

eval247.0ms (3.3%)

Compiler: Compiled 7752 to 6071 computations (21.7% saved)

prune61.0ms (0.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	0	2	2
Picked	0	1	1
Done	1	6	7
Total	450	10	460

Error

Counts

460 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	30.8b	(+.f64 1/2 (.f64 t (+.f64 (.f64 -2 (*.f64 t t)) t)))
	27.6b	5/6
	30.7b	(+.f64 1/2 (+.f64 (.f64 (.f64 t (+.f64 t -2)) (.f64 t t)) (.f64 t t)))
✓	30.6b	(+.f64 1/2 (*.f64 t t))
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
✓	32.5b	(-.f64 (+.f64 1 (/.f64 -2/9 t)) 1/6)
✓	32.2b	(-.f64 (/.f64 1/27 (*.f64 t t)) (+.f64 (/.f64 2/9 t) -5/6))
	25.7b	1/2
✓	32.5b	(+.f64 5/6 (/.f64 -2/9 t))
✓	32.2b	(+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)

Compiler

Compiled 92 to 70 computations (23.9% saved)

regimes162.0ms (2.1%)

Counts

21 → 1

Calls

Call 1

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

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

Calls

7 calls:

62.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
33.0ms	(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
22.0ms	t
10.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
8.0ms	(/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))))

Results

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

Compiler

Compiled 341 to 262 computations (23.2% saved)

regimes16.0ms (0.2%)

Counts

17 → 1

Calls

Call 1

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

Outputs
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.0b	1	`t`

Compiler

Compiled 148 to 107 computations (27.7% saved)

regimes28.0ms (0.4%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 131 to 92 computations (29.8% saved)

bsearch111.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.0002569912836106225	73.64643797431614
70.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes116.0ms (1.5%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

112.0ms

Results

Error	Segments	Branch
0.4b	3	`t`

Compiler

Compiled 101 to 74 computations (26.7% saved)

bsearch81.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
41.0ms	0.0002569912836106225	73.64643797431614
39.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes29.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.7b	3	`t`

Compiler

Compiled 57 to 45 computations (21.1% saved)

bsearch96.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	0.0002569912836106225	73.64643797431614
42.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes34.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.0b	3	`t`

Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch126.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0002569912836106225	73.64643797431614
68.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes26.0ms (0.3%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
1.6b	3	`t`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch121.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
57.0ms	0.0002569912836106225	73.64643797431614
64.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes12.0ms (0.2%)

Accuracy

Total -49.5b remaining (-2631.7%)

Threshold costs -49.5b (-2631.7%)

Counts

3 → 3

Calls

Call 1

Inputs
5/6
1/2
5/6

Outputs
5/6
1/2
5/6

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.9b	3	`t`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch69.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	0.0002569912836106225	73.64643797431614
35.0ms	-388.8113237186922	-1.2274286819407127e-5

Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`sub-neg_binary64`
3×	`distribute-neg-frac_binary64`
3×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	297
1	90	297
2	101	297
3	109	297
4	113	297
5	114	297

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (+.f64 (.f64 (.f64 t (+.f64 t -2)) (.f64 t t)) (.f64 t t))) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (.f64 t (+.f64 (.f64 -2 (*.f64 t t)) t))) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) 5/6))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 5/6))
5/6

Outputs
(-.f64 1 (/.f64 1 (+.f64 2 (*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))))))
(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (+.f64 (.f64 (.f64 t (+.f64 t -2)) (.f64 t t)) (.f64 t t))) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (+.f64 (.f64 t t) (.f64 (.f64 t (+.f64 t -2)) (.f64 t t)))) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (.f64 t (+.f64 (.f64 -2 (*.f64 t t)) t))) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (.f64 t (+.f64 t (.f64 -2 (*.f64 t t))))) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) (+.f64 (/.f64 (-.f64 (/.f64 1/27 t) 2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) (+.f64 (/.f64 (+.f64 (/.f64 1/27 t) -2/9) t) 5/6)))
(if (<=.f64 t -6840041143034889/17592186044416) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) (+.f64 1/2 (*.f64 t t)) 5/6))
(if (<=.f64 t -6840041143034889/17592186044416) 5/6 (if (<=.f64 t 4740652437939261/18446744073709551616) 1/2 5/6))
5/6

Compiler

Compiled 214 to 165 computations (22.9% saved)

soundness0.0ms (0%)

end109.0ms (1.4%)

Compiler: Compiled 206 to 153 computations (25.7% saved)