Details

analyze463.0ms (9.3%)

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)

sample1.8s (35.1%)

Results

1.7s

8256×

body

256

valid

preprocess43.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

716×	`fma-def_binary64`
425×	`distribute-rgt-in_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
305×	`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	1339	26
6	4694	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)

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

716×	`fma-def_binary64`
425×	`distribute-rgt-in_binary64`
408×	`div-sub_binary64`
342×	`times-frac_binary64`
305×	`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	1339	26
6	4694	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

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)))
▶	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)))

▶

(-.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)

localize51.0ms (1%)

Local error

Found 8 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 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
	0.0b	(+.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 t) (+.f64 1 (/.f64 1 t)))
✓	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 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
✓	2.8b	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

Compiler

Compiled 139 to 115 computations (17.3% saved)

series6.0ms (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))))
1.0ms	t	@	-inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))
0.0ms	t	@	inf	(/.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 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
0.0ms	t	@	inf	(-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t))))

rewrite86.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`log-prod_binary64`
295×	`fma-def_binary64`
279×	`log-div_binary64`
274×	`prod-diff_binary64`
246×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	285	73
2	4086	73

Stop Event

1×	node limit

Counts

4 → 150

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

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

521×	`sub-neg_binary64`
480×	`fma-def_binary64`
415×	`distribute-neg-frac_binary64`
407×	`associate-l_binary64`
341×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	654
1	277	645
2	781	625
3	2314	614
4	6608	614

Stop Event

1×	node limit

Counts

198 → 206

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

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

localize29.0ms (0.6%)

Local error

Found 8 expressions with local error:

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

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 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0ms	t	@	inf	(/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))
0.0ms	t	@	0	(/.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))
0.0ms	t	@	inf	(/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))

rewrite85.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

594×	`log-prod_binary64`
338×	`prod-diff_binary64`
289×	`fma-def_binary64`
253×	`log-div_binary64`
250×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	297	55
2	3893	55

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))) (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2) (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 216 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) (-.f64 36 (/.f64 6 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2) -36)) (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) -6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -6 (neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (/.f64 1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (+.f64 (/.f64 4 (+.f64 1 t)) 8)) (/.f64 64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3))) (/.f64 1 (+.f64 (/.f64 16 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t)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)) (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 64 (/.f64 16 (pow.f64 (+.f64 1 t) 2))) (-.f64 -8 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) (-.f64 64 (/.f64 -32 (+.f64 1 t)))) (+.f64 -512 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) 8) (+.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)) -64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (/.f64 1 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 4 (+.f64 1 t)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 t)) 1 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 2) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 4 (+.f64 1 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 2 (hypot.f64 1 (sqrt.f64 t))) (/.f64 2 (hypot.f64 1 (sqrt.f64 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 1 t)) 4 -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1) -8)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 4 (-.f64 1 (*.f64 t t))) (-.f64 1 t) -8)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 t)) (+.f64 (/.f64 4 (+.f64 1 t)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (pow.f64 (cbrt.f64 (+.f64 1 t)) 2)) (/.f64 (sqrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (cbrt.f64 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (hypot.f64 1 (sqrt.f64 t))) (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (hypot.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 2) (hypot.f64 1 (sqrt.f64 t))) (/.f64 (cbrt.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (hypot.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (-.f64 1 (.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 1 t) (+.f64 (/.f64 4 (+.f64 1 t)) -8)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8)) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))) (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 4 (+.f64 1 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (+.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 2) (cbrt.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (hypot.f64 1 (sqrt.f64 t))) (/.f64 2 (hypot.f64 1 (sqrt.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -4 (/.f64 1 (+.f64 -1 (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 t)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (+.f64 1 (pow.f64 t 3))) (fma.f64 t (-.f64 t 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (-.f64 1 (.f64 t t))) (-.f64 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (+.f64 1 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (+.f64 1 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 2 (hypot.f64 1 (sqrt.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1 t) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (+.f64 1 t) 1/4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (+.f64 1 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (+.f64 1 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 64 (pow.f64 (+.f64 1 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (+.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 4) (log1p.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 4) (log1p.f64 t)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (+.f64 1 t))))))))

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

410×	`sub-neg_binary64`
391×	`distribute-rgt-out_binary64`
344×	`fma-def_binary64`
333×	`fma-neg_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	656
1	259	639
2	716	629
3	1973	619
4	5077	619

Stop Event

1×	node limit

Counts

185 → 192

Calls

Call 1

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

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

eval343.0ms (6.9%)

Compiler: Compiled 15289 to 13271 computations (13.2% saved)

prune675.0ms (13.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	513	5	518
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	514	6	520

Error

Counts

520 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.1b	(+.f64 1 -1/6)
▶	22.3b	(-.f64 1 (/.f64 1 (+.f64 2 (.f64 t (.f64 t 4)))))
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶	22.8b	(+.f64 1 -1/2)
▶	34.6b	(-.f64 1 (+.f64 1/6 (/.f64 2/9 t)))
▶	34.8b	(+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t)))

Compiler

Compiled 102 to 88 computations (13.7% saved)

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 40 to 30 computations (25% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 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 2 (.f64 t (.f64 t 4))))

rewrite47.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`pow1_binary64`
817×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
803×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	190	11
2	2256	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify30.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

683×	`fma-neg_binary64`
659×	`cancel-sign-sub-inv_binary64`
587×	`associate-*l/_binary64`
413×	`unswap-sqr_binary64`
347×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	214
1	104	209
2	255	207
3	739	207
4	3131	207

Stop Event

1×	node limit

Counts

34 → 37

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)))))

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize3.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize8.0ms (0.2%)

Local error

Found 6 expressions with local error:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series4.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
915×	`add-log-exp_binary64`
915×	`log1p-expm1-u_binary64`
915×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	185	18
2	2363	18

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

((#(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)) (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 (/.f64 8/729 (pow.f64 t 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t 2/9) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4/81 (*.f64 t t)))))) (#(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 exp.f64 (log.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 -.f64 (+.f64 7/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/36 (-.f64 1/6 (/.f64 2/9 t))) (/.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/6 (/.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) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2) (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3))) (/.f64 1 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (/.f64 1 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))) (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/6 (/.f64 2/9 t)) (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3))) (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3))) (+.f64 (/.f64 4/81 (*.f64 t t)) (-.f64 1/36 (/.f64 1/27 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t))) (-.f64 1/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/216 (/.f64 8/729 (pow.f64 t 3)))) (neg.f64 (+.f64 1/36 (-.f64 (/.f64 4/81 (*.f64 t t)) (/.f64 1/27 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1/36 (/.f64 4/81 (*.f64 t t)))) (neg.f64 (-.f64 1/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 4/81 (*.f64 t t)) 1/36) (-.f64 (/.f64 2/9 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 2/9 t) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2/9 (/.f64 1 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 2/9 t) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2) (cbrt.f64 (/.f64 2/9 t)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2/9 t)) (sqrt.f64 (/.f64 2/9 t)) 1/6)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (neg.f64 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 -2/9 (/.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 -1 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 2/9 t)) 2)) (cbrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 5/6 (*.f64 (neg.f64 (sqrt.f64 (/.f64 2/9 t))) (sqrt.f64 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 5/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 5/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2) (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3)) (/.f64 1 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (/.f64 1 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t)))) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 7/6 (/.f64 2/9 t)) (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))))))) (#(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 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2)) (+.f64 7/6 (/.f64 2/9 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 3))) (neg.f64 (+.f64 1 (*.f64 (+.f64 (/.f64 2/9 t) 1/6) (+.f64 7/6 (/.f64 2/9 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 2/9 t) 1/6) 2))) (neg.f64 (+.f64 7/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 125/216 (/.f64 8/729 (pow.f64 t 3))) (+.f64 25/36 (+.f64 (/.f64 4/81 (*.f64 t t)) (*.f64 5/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6))) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))))))) (#(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 (-.f64 1 (*.f64 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)) (neg.f64 (+.f64 (/.f64 2/9 t) 1/6)))) (-.f64 1 (neg.f64 (+.f64 (/.f64 2/9 t) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 5/6 (/.f64 2/9 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 5/6 (/.f64 2/9 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 5/6 (/.f64 2/9 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 5/6 (/.f64 2/9 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 5/6 (/.f64 2/9 t))))))))

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`fma-def_binary64`
11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
5×	`associate-+l-_binary64`
4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	138
1	23	138
2	36	138
3	52	138
4	67	138
5	85	138
6	103	138
7	124	138
8	139	138

Stop Event

1×

saturated

Counts

113 → 97

Calls

Call 1

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

localize19.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(/.f64 -2/9 t)
	0.2b	(/.f64 (/.f64 1/27 t) t)
	0.0b	(+.f64 -1/6 (/.f64 -2/9 t))
	0.0b	(+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))
✓	0.0b	(+.f64 -1/6 (/.f64 -2/9 t))
✓	0.2b	(/.f64 (/.f64 1/27 t) t)
✓	0.3b	(/.f64 -2/9 t)
✓	0.5b	(/.f64 1/27 t)

Compiler

Compiled 46 to 34 computations (26.1% saved)

series6.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

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

rewrite67.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`unpow-prod-down_binary64`
435×	`log-prod_binary64`
254×	`pow2_binary64`
219×	`pow-prod-down_binary64`
179×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	210	22
2	2728	22

Stop Event

1×	node limit

Counts

4 → 222

Calls

Call 1

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

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

650×	`unsub-neg_binary64`
465×	`associate-*l/_binary64`
434×	`unswap-sqr_binary64`
422×	`fma-def_binary64`
371×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	171
1	32	153
2	61	153
3	105	153
4	193	153
5	498	153
6	1740	153
7	4499	153
8	5657	153

Stop Event

1×	node limit

Counts

246 → 228

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

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

eval186.0ms (3.7%)

Compiler: Compiled 6149 to 5061 computations (17.7% saved)

prune89.0ms (1.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	359	3	362
Fresh	0	0	0
Picked	0	1	1
Done	3	2	5
Total	362	6	368

Error

Counts

368 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	5/6
✓	22.8b	(+.f64 1 -1/2)
✓	0.0b	(+.f64 1 (/.f64 -1 (+.f64 (/.f64 (+.f64 (/.f64 4 (+.f64 1 t)) -8) (+.f64 1 t)) 6)))
▶	34.6b	(+.f64 5/6 (/.f64 -2/9 t))
▶	27.4b	(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓	34.8b	(+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t)))

Compiler

Compiled 52 to 44 computations (15.4% saved)

localize6.0ms (0.1%)

Compiler: Compiled 19 to 10 computations (47.4% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (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	7
1	139	7
2	1758	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify12.0ms (0.2%)

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

43 → 35

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))

eval40.0ms (0.8%)

Compiler: Compiled 833 to 699 computations (16.1% saved)

prune12.0ms (0.2%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	0	1
Picked	0	1	1
Done	0	4	4
Total	79	6	85

Error

Counts

85 → 6

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)))
	29.1b	5/6
✓	22.8b	(+.f64 1 -1/2)
✓	34.6b	(+.f64 5/6 (/.f64 -2/9 t))
✓	27.4b	(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓	34.8b	(+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t)))

Compiler

Compiled 52 to 44 computations (15.4% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

Counts

6 → 6

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)))
	29.1b	5/6
✓	22.8b	(+.f64 1 -1/2)
✓	34.6b	(+.f64 5/6 (/.f64 -2/9 t))
✓	27.4b	(-.f64 1 (-.f64 1/2 (*.f64 t t)))
✓	34.8b	(+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t)))

Compiler

Compiled 52 to 44 computations (15.4% saved)

regimes30.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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:

6.0ms	t
5.0ms	(/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))
3.0ms	(*.f64 (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))) (-.f64 2 (/.f64 (/.f64 2 t) (+.f64 1 (/.f64 1 t)))))
3.0ms	(/.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)))))))
3.0ms	(-.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))))))))

Results

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

Compiler

Compiled 230 to 194 computations (15.7% saved)

regimes9.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

6.0ms

Results

Error	Segments	Branch
0.0b	1	`t`

Compiler

Compiled 71 to 59 computations (16.9% saved)

regimes22.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.2b	3	`t`

Compiler

Compiled 54 to 44 computations (18.5% saved)

bsearch65.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	1.6934726265354714e-11	40612723403.65267
32.0ms	-7.310331549550284	-2.9731269443516024e-6

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes18.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.2b	3	`t`

Compiler

Compiled 41 to 34 computations (17.1% saved)

bsearch87.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	1.6934726265354714e-11	40612723403.65267
50.0ms	-7.310331549550284	-2.9731269443516024e-6

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes15.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
0.3b	3	`t`

Compiler

Compiled 16 to 14 computations (12.5% saved)

bsearch87.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	1.6934726265354714e-11	40612723403.65267
52.0ms	-7.310331549550284	-2.9731269443516024e-6

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes11.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.5b	3	`t`

Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch65.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	1.6934726265354714e-11	40612723403.65267
34.0ms	-7.310331549550284	-2.9731269443516024e-6

Compiler

Compiled 34 to 29 computations (14.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
5/6
5/6
(+.f64 1 -1/6)

Outputs
5/6

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
29.1b	1	`t`

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
11×	`sub-neg_binary64`
9×	`distribute-rgt-neg-in_binary64`
9×	`cancel-sign-sub-inv_binary64`
8×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	195
1	76	195
2	100	195
3	126	195
4	150	195
5	164	195

Stop Event

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 -257209425332105/35184372088832) (+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (+.f64 1 -1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) 5/6 (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (+.f64 1 -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 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 -257209425332105/35184372088832) (+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 1 (+.f64 (+.f64 -1/6 (/.f64 -2/9 t)) (/.f64 (/.f64 1/27 t) t))) (if (<=.f64 t 2620521962277547/154742504910672534362390528) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 (/.f64 -2/9 t) 5/6)))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 (/.f64 -2/9 t) 5/6) (if (<=.f64 t 2620521962277547/154742504910672534362390528) (-.f64 1 (-.f64 1/2 (*.f64 t t))) (+.f64 (/.f64 -2/9 t) 5/6)))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 5/6 (/.f64 -2/9 t)) (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (+.f64 1 -1/2) (+.f64 5/6 (/.f64 -2/9 t))))
(if (<=.f64 t -257209425332105/35184372088832) (+.f64 (/.f64 -2/9 t) 5/6) (if (<=.f64 t 2620521962277547/154742504910672534362390528) 1/2 (+.f64 (/.f64 -2/9 t) 5/6)))
(if (<=.f64 t -257209425332105/35184372088832) 5/6 (if (<=.f64 t 1341707244686104064/79228162514264337593543950336) (+.f64 1 -1/2) 5/6))
(if (<=.f64 t -257209425332105/35184372088832) 5/6 (if (<=.f64 t 2620521962277547/154742504910672534362390528) 1/2 5/6))
5/6

end161.0ms (3.2%)

Stop Event

1×

fuel

Compiler

Compiled 278 to 225 computations (19.1% saved)

Details

analyze463.0ms (9.3%)

sample1.8s (35.1%)

preprocess43.0ms (0.9%)

simplify32.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize51.0ms (1%)

series6.0ms (0.1%)

rewrite86.0ms (1.7%)

simplify56.0ms (1.1%)

localize29.0ms (0.6%)

series5.0ms (0.1%)

rewrite85.0ms (1.7%)

simplify54.0ms (1.1%)

eval343.0ms (6.9%)

prune675.0ms (13.5%)

localize17.0ms (0.3%)

series2.0ms (0%)

rewrite47.0ms (0.9%)

simplify30.0ms (0.6%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (1.1%)

simplify14.0ms (0.3%)

localize19.0ms (0.4%)

series6.0ms (0.1%)

rewrite67.0ms (1.4%)

simplify44.0ms (0.9%)

eval186.0ms (3.7%)

prune89.0ms (1.8%)

localize6.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite52.0ms (1%)

simplify12.0ms (0.2%)

eval40.0ms (0.8%)

prune12.0ms (0.2%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes30.0ms (0.6%)

regimes9.0ms (0.2%)

regimes22.0ms (0.4%)

bsearch65.0ms (1.3%)

regimes18.0ms (0.4%)

bsearch87.0ms (1.7%)

regimes15.0ms (0.3%)

bsearch87.0ms (1.7%)

regimes11.0ms (0.2%)

bsearch65.0ms (1.3%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

end161.0ms (3.2%)

Profiling