Details

analyze470.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
3.1%	96.6%	0.2%	11
4.7%	95.1%	0.2%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.5s (14.3%)

Results

1.3s	8255×	body	256	valid
179.0ms	794×	body	256	invalid
0.0ms	1×	body	512	valid

preprocess48.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

932×	`div-sub_binary64`
494×	`fma-def_binary64`
434×	`distribute-rgt-in_binary64`
384×	`associate-/l*_binary64`
372×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	176
1	109	176
2	250	154
3	611	154
4	1514	154
5	4194	154
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
(+.f64 y (/.f64 (*.f64 x (-.f64 z t)) (-.f64 z a)))
(+.f64 z (/.f64 (*.f64 y (-.f64 x t)) (-.f64 x a)))
(+.f64 t (/.f64 (*.f64 y (-.f64 z x)) (-.f64 z a)))
(+.f64 a (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z x)))
(+.f64 x (/.f64 (*.f64 z (-.f64 y t)) (-.f64 y a)))
(+.f64 x (/.f64 (*.f64 t (-.f64 z y)) (-.f64 z a)))
(+.f64 x (/.f64 (*.f64 a (-.f64 z t)) (-.f64 z y)))
(+.f64 x (/.f64 (*.f64 y (-.f64 t z)) (-.f64 t a)))
(+.f64 x (/.f64 (*.f64 y (-.f64 a t)) (-.f64 a z)))
(+.f64 x (/.f64 (*.f64 y (-.f64 z a)) (-.f64 z t)))

Outputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)
(fma.f64 (-.f64 z t) (/.f64 y (-.f64 z a)) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(+.f64 y (/.f64 (*.f64 x (-.f64 z t)) (-.f64 z a)))
(+.f64 y (/.f64 x (/.f64 (-.f64 z a) (-.f64 z t))))
(+.f64 y (*.f64 (/.f64 x (-.f64 z a)) (-.f64 z t)))
(fma.f64 (/.f64 x (-.f64 z a)) (-.f64 z t) y)
(fma.f64 (-.f64 z t) (/.f64 x (-.f64 z a)) y)
(+.f64 z (/.f64 (*.f64 y (-.f64 x t)) (-.f64 x a)))
(+.f64 z (/.f64 y (/.f64 (-.f64 x a) (-.f64 x t))))
(+.f64 z (*.f64 (/.f64 y (-.f64 x a)) (-.f64 x t)))
(fma.f64 (/.f64 y (-.f64 x a)) (-.f64 x t) z)
(fma.f64 (-.f64 x t) (/.f64 y (-.f64 x a)) z)
(+.f64 t (/.f64 (*.f64 y (-.f64 z x)) (-.f64 z a)))
(+.f64 t (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z x)))
(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z x) t)
(fma.f64 (-.f64 z x) (/.f64 y (-.f64 z a)) t)
(fma.f64 y (/.f64 (-.f64 z x) (-.f64 z a)) t)
(+.f64 a (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z x)))
(+.f64 a (*.f64 (/.f64 y (-.f64 z x)) (-.f64 z t)))
(fma.f64 (/.f64 y (-.f64 z x)) (-.f64 z t) a)
(fma.f64 (/.f64 (-.f64 z t) (-.f64 z x)) y a)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z x)) a)
(+.f64 x (/.f64 (*.f64 z (-.f64 y t)) (-.f64 y a)))
(+.f64 x (/.f64 z (/.f64 (-.f64 y a) (-.f64 y t))))
(+.f64 x (*.f64 (/.f64 z (-.f64 y a)) (-.f64 y t)))
(fma.f64 (/.f64 z (-.f64 y a)) (-.f64 y t) x)
(fma.f64 (-.f64 y t) (/.f64 z (-.f64 y a)) x)
(fma.f64 z (/.f64 (-.f64 y t) (-.f64 y a)) x)
(+.f64 x (/.f64 (*.f64 t (-.f64 z y)) (-.f64 z a)))
(+.f64 x (/.f64 t (/.f64 (-.f64 z a) (-.f64 z y))))
(+.f64 x (*.f64 (/.f64 t (-.f64 z a)) (-.f64 z y)))
(fma.f64 (/.f64 t (-.f64 z a)) (-.f64 z y) x)
(fma.f64 (-.f64 z y) (/.f64 t (-.f64 z a)) x)
(fma.f64 t (/.f64 (-.f64 z y) (-.f64 z a)) x)
(+.f64 x (/.f64 (*.f64 a (-.f64 z t)) (-.f64 z y)))
(+.f64 x (/.f64 a (/.f64 (-.f64 z y) (-.f64 z t))))
(+.f64 x (*.f64 (/.f64 a (-.f64 z y)) (-.f64 z t)))
(fma.f64 (/.f64 a (-.f64 z y)) (-.f64 z t) x)
(fma.f64 (/.f64 (-.f64 z t) (-.f64 z y)) a x)
(fma.f64 (-.f64 z t) (/.f64 a (-.f64 z y)) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 t z)) (-.f64 t a)))
(+.f64 x (*.f64 (/.f64 y (-.f64 t a)) (-.f64 t z)))
(fma.f64 (/.f64 y (-.f64 t a)) (-.f64 t z) x)
(fma.f64 (-.f64 t z) (/.f64 y (-.f64 t a)) x)
(fma.f64 y (/.f64 (-.f64 t z) (-.f64 t a)) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 a t)) (-.f64 a z)))
(+.f64 x (*.f64 (/.f64 y (-.f64 a z)) (-.f64 a t)))
(fma.f64 (/.f64 y (-.f64 a z)) (-.f64 a t) x)
(fma.f64 (-.f64 a t) (/.f64 y (-.f64 a z)) x)
(fma.f64 y (/.f64 (-.f64 a t) (-.f64 a z)) x)
(+.f64 x (/.f64 (*.f64 y (-.f64 z a)) (-.f64 z t)))
(+.f64 x (/.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
(+.f64 x (*.f64 (/.f64 y (-.f64 z t)) (-.f64 z a)))
(fma.f64 (/.f64 y (-.f64 z t)) (-.f64 z a) x)
(fma.f64 (-.f64 z a) (/.f64 y (-.f64 z t)) x)
(fma.f64 y (/.f64 (-.f64 z a) (-.f64 z t)) x)

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

734×	`fma-def_binary64`
533×	`div-sub_binary64`
511×	`fma-neg_binary64`
499×	`times-frac_binary64`
333×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	19	16
2	40	14
3	85	14
4	194	14
5	394	14
6	832	14
7	2375	14
8	6723	14
9	7766	14

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))

Outputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
(+.f64 x (*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t)))
(fma.f64 (/.f64 y (-.f64 z a)) (-.f64 z t) x)
(fma.f64 (-.f64 z t) (/.f64 y (-.f64 z a)) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)

eval1.0ms (0%)

Compiler: Compiled 26 to 12 computations (53.8% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
▶	10.8b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))

Compiler

Compiled 31 to 19 computations (38.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
	0.0b	(*.f64 y (-.f64 z t))
✓	0.0b	(*.f64 y (-.f64 z t))
✓	10.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

Compiler

Compiled 41 to 10 computations (75.6% saved)

series20.0ms (0.2%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	t	@	0	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
1.0ms	t	@	inf	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
1.0ms	z	@	0	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
1.0ms	y	@	0	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
1.0ms	a	@	0	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
590×	`log-prod_binary64`
330×	`fma-def_binary64`
299×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	206	20
2	3193	20

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(*.f64 y (-.f64 z t))

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

Outputs

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

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

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

727×	`associate-/l*_binary64`
669×	`fma-def_binary64`
438×	`associate-/r*_binary64`
434×	`associate-r_binary64`
400×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	131	1433
1	462	1328
2	1600	1039

Stop Event

1×	node limit

Counts

150 → 127

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2))))) a) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) (pow.f64 z 2)) a) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) (pow.f64 z 3)) (pow.f64 a 2)) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a))))
y
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y) (.f64 -1 (/.f64 (.f64 y a) z)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a y))) a) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)) (.f64 -1 (/.f64 (*.f64 y a) z)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a y))) a) (pow.f64 z 2)) (+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (.f64 y t)) (.f64 -1 (.f64 a y))) (pow.f64 a 2)) (pow.f64 z 3)) y))) (.f64 -1 (/.f64 (.f64 y a) z)))
y
(+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y t) (*.f64 y a)) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y t) (.f64 a y))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y t) (*.f64 y a)) z)) y))
(+.f64 (.f64 -1 (/.f64 (.f64 a (-.f64 (.f64 y t) (.f64 a y))) (pow.f64 z 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 y t) (.f64 y a)) z)) (+.f64 y (.f64 -1 (/.f64 (.f64 (pow.f64 a 2) (-.f64 (.f64 y t) (*.f64 y a))) (pow.f64 z 3))))))
(/.f64 (*.f64 y z) (-.f64 z a))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(.f64 -1 (/.f64 (.f64 y t) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(.f64 -1 (/.f64 (.f64 y t) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) (-.f64 z a))) (/.f64 (*.f64 y z) (-.f64 z a)))
(/.f64 (*.f64 y (-.f64 z t)) z)
(+.f64 (/.f64 (.f64 (-.f64 z t) (.f64 y a)) (pow.f64 z 2)) (/.f64 (*.f64 (-.f64 z t) y) z))
(+.f64 (/.f64 (.f64 (pow.f64 a 2) (.f64 y (-.f64 z t))) (pow.f64 z 3)) (+.f64 (/.f64 (.f64 a (.f64 y (-.f64 z t))) (pow.f64 z 2)) (/.f64 (*.f64 (-.f64 z t) y) z)))
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(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
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(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(*.f64 (-.f64 z t) y)
(.f64 -1 (.f64 y t))
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(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y z)
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(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(.f64 -1 (.f64 y t))
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(.f64 -1 (.f64 y t))
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(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))

Outputs
(/.f64 (*.f64 y t) a)
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(*.f64 (/.f64 t a) y)
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y
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y
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(-.f64 (.f64 (/.f64 (-.f64 z t) (/.f64 a y)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 y (/.f64 (pow.f64 a 3) (-.f64 z t))) (*.f64 z z)))
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(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (fma.f64 -1 (/.f64 (.f64 (.f64 y (-.f64 z t)) (pow.f64 z 3)) (pow.f64 a 4)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (/.f64 (.f64 y (-.f64 z t)) a)))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) (-.f64 z t)) a) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (/.f64 y (/.f64 (/.f64 (pow.f64 a 4) (pow.f64 z 3)) (-.f64 z t)))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t)))))
(-.f64 (.f64 (/.f64 (-.f64 z t) (/.f64 a y)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (/.f64 (-.f64 z t) (/.f64 a y)) a) (+.f64 (/.f64 z (/.f64 a z)) (/.f64 (pow.f64 z 3) (*.f64 a a)))))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (*.f64 y (-.f64 z t)) a))
(/.f64 (*.f64 (neg.f64 y) (-.f64 z t)) a)
(*.f64 (/.f64 (-.f64 z t) a) (neg.f64 y))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y z)) (pow.f64 a 2))) (.f64 -1 (/.f64 (*.f64 (-.f64 z t) y) a)))
(.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (/.f64 (.f64 y (-.f64 z t)) a)))
(-.f64 (/.f64 (.f64 (neg.f64 y) (-.f64 z t)) a) (.f64 (/.f64 y a) (/.f64 (*.f64 z (-.f64 z t)) a)))
(*.f64 (/.f64 (-.f64 z t) (/.f64 a y)) (-.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y z)) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 2))) (pow.f64 a 3))) (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (/.f64 (.f64 y (-.f64 z t)) a))))
(-.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) (-.f64 z t)) a) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t)))))
(-.f64 (.f64 (/.f64 (-.f64 z t) (/.f64 a y)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 y (/.f64 (pow.f64 a 3) (-.f64 z t))) (*.f64 z z)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y z)) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 2))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 z t) (pow.f64 z 3))) (pow.f64 a 4))) (.f64 -1 (/.f64 (*.f64 (-.f64 z t) y) a)))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (fma.f64 -1 (/.f64 (.f64 (.f64 y (-.f64 z t)) (pow.f64 z 3)) (pow.f64 a 4)) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (/.f64 (.f64 y (-.f64 z t)) a)))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 y) (-.f64 z t)) a) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (/.f64 y (/.f64 (/.f64 (pow.f64 a 4) (pow.f64 z 3)) (-.f64 z t)))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t)))))
(-.f64 (.f64 (/.f64 (-.f64 z t) (/.f64 a y)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (/.f64 (-.f64 z t) (/.f64 a y)) a) (+.f64 (/.f64 z (/.f64 a z)) (/.f64 (pow.f64 z 3) (*.f64 a a)))))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(*.f64 (-.f64 z t) y)
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(*.f64 y (-.f64 z t))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.5b	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
	0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
✓	0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
✓	1.5b	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)

Compiler

Compiled 33 to 9 computations (72.7% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
1.0ms	z	@	inf	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
1.0ms	z	@	0	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
1.0ms	a	@	0	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
1.0ms	z	@	-inf	(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

619×	`log-prod_binary64`
402×	`pow-prod-down_binary64`
365×	`fma-def_binary64`
333×	`pow2_binary64`
230×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	227	24
2	3436	24

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

Inputs
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(/.f64 (-.f64 z t) (-.f64 z a))

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

Outputs

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

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-/l*_binary64`
771×	`associate-/r*_binary64`
329×	`associate-/r/_binary64`
312×	`distribute-rgt-in_binary64`
296×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2411
1	759	2265
2	2776	1814

Stop Event

1×	node limit

Counts

183 → 176

Calls

Call 1

Inputs
x
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
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(.f64 -1 (/.f64 (.f64 y t) (-.f64 z a)))
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x
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x
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(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
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(+.f64 (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)) x)
x
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(+.f64 (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)) x)
x
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(/.f64 t a)
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1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 t z))) (.f64 -1 (/.f64 a z)))
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1
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(/.f64 z (-.f64 z a))
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(*.f64 -1 (/.f64 t (-.f64 z a)))
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(/.f64 (-.f64 z t) z)
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 z t) a) (pow.f64 z 2))) (/.f64 t z))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 z t)) (pow.f64 z 3)) (/.f64 (.f64 a (-.f64 z t)) (pow.f64 z 2)))) (/.f64 t z))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 a (-.f64 z t)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (-.f64 z t) (pow.f64 a 3)) (pow.f64 z 4)) (/.f64 (*.f64 (-.f64 z t) (pow.f64 a 2)) (pow.f64 z 3))))) (/.f64 t z))
(*.f64 -1 (/.f64 (-.f64 z t) a))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (*.f64 -1 (/.f64 (-.f64 z t) a)))
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(*.f64 -1 (/.f64 (-.f64 z t) a))
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Outputs
x
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
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(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(+.f64 (*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(*.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))))
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
(+.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
(+.f64 (/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a)) x)
(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
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(fma.f64 y (-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a))) x)
(fma.f64 y (/.f64 (-.f64 z t) (-.f64 z a)) x)
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(+.f64 y x)
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(+.f64 y x)
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(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(*.f64 -1 (/.f64 t (-.f64 z a)))
(/.f64 (neg.f64 t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(*.f64 -1 (/.f64 t (-.f64 z a)))
(/.f64 (neg.f64 t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t (-.f64 z a))) (/.f64 z (-.f64 z a)))
(-.f64 (/.f64 z (-.f64 z a)) (/.f64 t (-.f64 z a)))
(/.f64 (-.f64 z t) (-.f64 z a))
(/.f64 (-.f64 z t) z)
(-.f64 1 (/.f64 t z))
(-.f64 (+.f64 1 (/.f64 (*.f64 (-.f64 z t) a) (pow.f64 z 2))) (/.f64 t z))
(+.f64 1 (-.f64 (/.f64 a (/.f64 (*.f64 z z) (-.f64 z t))) (/.f64 t z)))
(+.f64 1 (-.f64 (*.f64 (-.f64 1 (/.f64 t z)) (/.f64 a z)) (/.f64 t z)))
(*.f64 (+.f64 (/.f64 a z) 1) (-.f64 1 (/.f64 t z)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 a 2) (-.f64 z t)) (pow.f64 z 3)) (/.f64 (.f64 a (-.f64 z t)) (pow.f64 z 2)))) (/.f64 t z))
(+.f64 1 (-.f64 (+.f64 (/.f64 a (/.f64 (.f64 z z) (-.f64 z t))) (/.f64 (-.f64 z t) (/.f64 (pow.f64 z 3) (.f64 a a)))) (/.f64 t z)))
(+.f64 1 (+.f64 (.f64 (/.f64 (.f64 a a) (pow.f64 z 3)) (-.f64 z t)) (-.f64 (*.f64 (-.f64 1 (/.f64 t z)) (/.f64 a z)) (/.f64 t z))))
(+.f64 1 (-.f64 (.f64 (/.f64 (-.f64 z t) (.f64 z z)) (+.f64 (/.f64 a (/.f64 z a)) a)) (/.f64 t z)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 a (-.f64 z t)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 (-.f64 z t) (pow.f64 a 3)) (pow.f64 z 4)) (/.f64 (*.f64 (-.f64 z t) (pow.f64 a 2)) (pow.f64 z 3))))) (/.f64 t z))
(+.f64 1 (-.f64 (+.f64 (/.f64 a (/.f64 (.f64 z z) (-.f64 z t))) (+.f64 (/.f64 (-.f64 z t) (/.f64 (pow.f64 z 4) (pow.f64 a 3))) (/.f64 (-.f64 z t) (/.f64 (pow.f64 z 3) (.f64 a a))))) (/.f64 t z)))
(+.f64 1 (+.f64 (.f64 (-.f64 1 (/.f64 t z)) (/.f64 a z)) (-.f64 (+.f64 (/.f64 (.f64 (-.f64 z t) (pow.f64 a 3)) (pow.f64 z 4)) (.f64 (/.f64 (.f64 a a) (pow.f64 z 3)) (-.f64 z t))) (/.f64 t z))))
(+.f64 (+.f64 (.f64 (/.f64 (-.f64 z t) (.f64 z z)) (+.f64 (/.f64 a (/.f64 z a)) a)) (*.f64 (/.f64 (pow.f64 a 3) (pow.f64 z 4)) (-.f64 z t))) (-.f64 1 (/.f64 t z)))
(*.f64 -1 (/.f64 (-.f64 z t) a))
(neg.f64 (/.f64 (-.f64 z t) a))
(/.f64 (neg.f64 (-.f64 z t)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (*.f64 -1 (/.f64 (-.f64 z t) a)))
(.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 z t) a)))
(-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(*.f64 (/.f64 (-.f64 z t) a) (-.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 2)) (pow.f64 a 3))) (*.f64 -1 (/.f64 (-.f64 z t) a))))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z))) (/.f64 (-.f64 z t) a))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (.f64 (/.f64 (-.f64 z t) (.f64 a a)) (+.f64 z (*.f64 (/.f64 z a) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 2)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 3)) (pow.f64 a 4))) (*.f64 -1 (/.f64 (-.f64 z t) a)))))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (.f64 z z))) (*.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 4) (pow.f64 z 3))) (/.f64 (-.f64 z t) a)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z t)) (/.f64 (pow.f64 a 4) (pow.f64 z 3))) (/.f64 (-.f64 z t) a)) (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(+.f64 (neg.f64 (.f64 (/.f64 (-.f64 z t) (.f64 a a)) (+.f64 (.f64 (/.f64 z a) z) (/.f64 (pow.f64 z 3) (.f64 a a))))) (*.f64 (/.f64 (-.f64 z t) a) (-.f64 -1 (/.f64 z a))))
(*.f64 -1 (/.f64 (-.f64 z t) a))
(neg.f64 (/.f64 (-.f64 z t) a))
(/.f64 (neg.f64 (-.f64 z t)) a)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (*.f64 -1 (/.f64 (-.f64 z t) a)))
(.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (/.f64 (-.f64 z t) a)))
(-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(*.f64 (/.f64 (-.f64 z t) a) (-.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 2)) (pow.f64 a 3))) (*.f64 -1 (/.f64 (-.f64 z t) a))))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z))) (/.f64 (-.f64 z t) a))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(-.f64 (/.f64 (neg.f64 (-.f64 z t)) a) (.f64 (/.f64 (-.f64 z t) (.f64 a a)) (+.f64 z (*.f64 (/.f64 z a) z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) z) (pow.f64 a 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 2)) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (pow.f64 z 3)) (pow.f64 a 4))) (*.f64 -1 (/.f64 (-.f64 z t) a)))))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (.f64 a a) z)) (fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (.f64 z z))) (*.f64 -1 (+.f64 (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 4) (pow.f64 z 3))) (/.f64 (-.f64 z t) a)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z t)) (/.f64 (pow.f64 a 4) (pow.f64 z 3))) (/.f64 (-.f64 z t) a)) (/.f64 (-.f64 z t) (/.f64 (pow.f64 a 3) (*.f64 z z)))) (/.f64 (-.f64 z t) (/.f64 a (/.f64 z a))))
(+.f64 (neg.f64 (.f64 (/.f64 (-.f64 z t) (.f64 a a)) (+.f64 (.f64 (/.f64 z a) z) (/.f64 (pow.f64 z 3) (.f64 a a))))) (*.f64 (/.f64 (-.f64 z t) a) (-.f64 -1 (/.f64 z a))))

eval129.0ms (1.3%)

Compiler: Compiled 6010 to 2107 computations (64.9% saved)

prune62.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	291	12	303
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	293	12	305

Error

Counts

305 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	25.5b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
▶	24.7b	(+.f64 x (*.f64 (/.f64 t a) y))
	1.6b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
▶	44.0b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
	22.5b	(+.f64 x (*.f64 (-.f64 1 (/.f64 t z)) y))
▶	22.4b	(+.f64 x y)
	27.4b	x
▶	0.9b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
▶	36.0b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
	24.2b	(+.f64 x (.f64 (/.f64 (.f64 y (-.f64 z t)) (-.f64 (.f64 z z) (.f64 a a))) (+.f64 z a)))
	26.1b	(+.f64 x (/.f64 (*.f64 y t) a))
	50.5b	(*.f64 (/.f64 y (-.f64 z a)) (neg.f64 t))

Compiler

Compiled 324 to 213 computations (34.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.1b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
	0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
✓	0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
✓	2.1b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

Compiler

Compiled 43 to 10 computations (76.7% saved)

series15.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	t	@	-inf	(/.f64 (-.f64 z a) (-.f64 z t))
1.0ms	t	@	0	(/.f64 (-.f64 z a) (-.f64 z t))
1.0ms	z	@	0	(/.f64 (-.f64 z a) (-.f64 z t))
1.0ms	t	@	inf	(/.f64 (-.f64 z a) (-.f64 z t))
1.0ms	a	@	0	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite152.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`prod-diff_binary64`
649×	`log-prod_binary64`
343×	`fma-def_binary64`
224×	`egg-rr`
212×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	215	23
2	3534	23

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

Inputs
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (/.f64 y (-.f64 z a))) (*.f64 (neg.f64 t) (/.f64 y (-.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (-.f64 z a)) z) (*.f64 (/.f64 y (-.f64 z a)) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (-.f64 z a))) (-.f64 z t))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (-.f64 z a))) (-.f64 z t))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 y (-.f64 z a))) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (-.f64 z a))) (-.f64 z t)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 y (-.f64 z a))) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 (cbrt.f64 y) (/.f64 (-.f64 z t) (-.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) 2) (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 (-.f64 z t) (-.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 (-.f64 z a)) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 z t) (-.f64 z a)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 z a)) (/.f64 y (/.f64 1 (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (-.f64 z a)) (/.f64 (cbrt.f64 y) (/.f64 1 (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (-.f64 z a)) (/.f64 (sqrt.f64 y) (/.f64 1 (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (/.f64 (-.f64 z a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (/.f64 (-.f64 z a) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 z a) (-.f64 z t))) 2)) (/.f64 y (cbrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 z a) (-.f64 z t))) 2)) (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (/.f64 (-.f64 z a) (-.f64 z t))) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))) (/.f64 y (sqrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (/.f64 (-.f64 z a) (-.f64 z t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 1) (/.f64 (-.f64 z t) (-.f64 z a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (neg.f64 (-.f64 z a))) (neg.f64 (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 z a)) 1) (-.f64 z t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 z a)) (cbrt.f64 (pow.f64 (-.f64 z t) 2))) (cbrt.f64 (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 y (-.f64 z a)) (sqrt.f64 (-.f64 z t))) (sqrt.f64 (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (-.f64 z t) (/.f64 y (-.f64 z a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 y (/.f64 (neg.f64 (-.f64 z a)) 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simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-/r*_binary64`
388×	`associate-*l/_binary64`
321×	`associate-/r/_binary64`
310×	`cancel-sign-sub-inv_binary64`
292×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2220
1	749	1975
2	2776	1667

Stop Event

1×	node limit

Counts

358 → 357

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 (*.f64 y t) a)
(+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a))
(+.f64 (/.f64 (.f64 (pow.f64 z 2) (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2))))) a) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 y a)) (.f64 -1 (/.f64 (.f64 y t) (pow.f64 a 2)))) z) (/.f64 (*.f64 y t) a)))
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y
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(/.f64 (*.f64 y z) (-.f64 z a))
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1
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1
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Outputs
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y
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y
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(/.f64 (-.f64 z a) (-.f64 z t))
(+.f64 (/.f64 z (-.f64 z t)) (*.f64 -1 (/.f64 a (-.f64 z t))))
(+.f64 (/.f64 z (-.f64 z t)) (/.f64 (neg.f64 a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))
(+.f64 (/.f64 z (-.f64 z t)) (*.f64 -1 (/.f64 a (-.f64 z t))))
(+.f64 (/.f64 z (-.f64 z t)) (/.f64 (neg.f64 a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))
(*.f64 -1 (/.f64 a (-.f64 z t)))
(/.f64 (neg.f64 a) (-.f64 z t))
(+.f64 (/.f64 z (-.f64 z t)) (*.f64 -1 (/.f64 a (-.f64 z t))))
(+.f64 (/.f64 z (-.f64 z t)) (/.f64 (neg.f64 a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))
(+.f64 (/.f64 z (-.f64 z t)) (*.f64 -1 (/.f64 a (-.f64 z t))))
(+.f64 (/.f64 z (-.f64 z t)) (/.f64 (neg.f64 a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))
(+.f64 (/.f64 z (-.f64 z t)) (*.f64 -1 (/.f64 a (-.f64 z t))))
(+.f64 (/.f64 z (-.f64 z t)) (/.f64 (neg.f64 a) (-.f64 z t)))
(/.f64 (-.f64 z a) (-.f64 z t))
(/.f64 (-.f64 z a) z)
(-.f64 1 (/.f64 a z))
(-.f64 (+.f64 1 (/.f64 (*.f64 t (-.f64 z a)) (pow.f64 z 2))) (/.f64 a z))
(+.f64 1 (-.f64 (/.f64 t (/.f64 (*.f64 z z) (-.f64 z a))) (/.f64 a z)))
(+.f64 (*.f64 (/.f64 (-.f64 z a) z) (/.f64 t z)) (/.f64 (-.f64 z a) z))
(*.f64 (+.f64 (/.f64 t z) 1) (-.f64 1 (/.f64 a z)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 t (-.f64 z a)) (pow.f64 z 2)) (/.f64 (.f64 (pow.f64 t 2) (-.f64 z a)) (pow.f64 z 3)))) (/.f64 a z))
(+.f64 1 (-.f64 (+.f64 (/.f64 t (/.f64 (.f64 z z) (-.f64 z a))) (/.f64 (.f64 t t) (/.f64 (pow.f64 z 3) (-.f64 z a)))) (/.f64 a z)))
(+.f64 1 (+.f64 (/.f64 t (/.f64 (/.f64 (pow.f64 z 3) (-.f64 z a)) t)) (-.f64 (*.f64 (/.f64 (-.f64 z a) z) (/.f64 t z)) (/.f64 a z))))
(+.f64 1 (-.f64 (.f64 (-.f64 z a) (+.f64 (/.f64 (.f64 t t) (pow.f64 z 3)) (/.f64 t (*.f64 z z)))) (/.f64 a z)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (pow.f64 t 3) (-.f64 z a)) (pow.f64 z 4)) (+.f64 (/.f64 (.f64 t (-.f64 z a)) (pow.f64 z 2)) (/.f64 (*.f64 (pow.f64 t 2) (-.f64 z a)) (pow.f64 z 3))))) (/.f64 a z))
(+.f64 1 (-.f64 (+.f64 (+.f64 (/.f64 t (/.f64 (.f64 z z) (-.f64 z a))) (/.f64 (.f64 t t) (/.f64 (pow.f64 z 3) (-.f64 z a)))) (/.f64 (pow.f64 t 3) (/.f64 (pow.f64 z 4) (-.f64 z a)))) (/.f64 a z)))
(+.f64 (+.f64 1 (/.f64 (pow.f64 t 3) (/.f64 (pow.f64 z 4) (-.f64 z a)))) (+.f64 (/.f64 t (/.f64 (/.f64 (pow.f64 z 3) (-.f64 z a)) t)) (-.f64 (*.f64 (/.f64 (-.f64 z a) z) (/.f64 t z)) (/.f64 a z))))
(+.f64 1 (+.f64 (.f64 (/.f64 (pow.f64 t 3) (pow.f64 z 4)) (-.f64 z a)) (-.f64 (.f64 (-.f64 z a) (+.f64 (/.f64 (.f64 t t) (pow.f64 z 3)) (/.f64 t (.f64 z z)))) (/.f64 a z))))
(*.f64 -1 (/.f64 (-.f64 z a) t))
(neg.f64 (/.f64 (-.f64 z a) t))
(/.f64 (neg.f64 (-.f64 z a)) t)
(/.f64 (+.f64 a (neg.f64 z)) t)
(+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (*.f64 -1 (/.f64 (-.f64 z a) t)))
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 t t) (-.f64 z a))) (neg.f64 (/.f64 (-.f64 z a) t)))
(-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a)))
(*.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 z a)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (*.f64 -1 (/.f64 (-.f64 z a) t))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 z a) (.f64 z z)) (pow.f64 t 3)) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 t t) (-.f64 z a))) (neg.f64 (/.f64 (-.f64 z a) t))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a))) (.f64 (/.f64 (.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(-.f64 (.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t))) (.f64 (/.f64 (*.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 z a)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 z a) t)) (.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (-.f64 z a)) (pow.f64 t 4))))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 z a) (.f64 z z)) (pow.f64 t 3)) (fma.f64 -1 (/.f64 z (/.f64 (.f64 t t) (-.f64 z a))) (.f64 -1 (+.f64 (/.f64 (-.f64 z a) t) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 t 4) (-.f64 z a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 4)) (-.f64 z a))) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a))) (.f64 (/.f64 (*.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(-.f64 (-.f64 (.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t))) (.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 4)) (-.f64 z a))) (.f64 (/.f64 (.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(*.f64 -1 (/.f64 (-.f64 z a) t))
(neg.f64 (/.f64 (-.f64 z a) t))
(/.f64 (neg.f64 (-.f64 z a)) t)
(/.f64 (+.f64 a (neg.f64 z)) t)
(+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (*.f64 -1 (/.f64 (-.f64 z a) t)))
(fma.f64 -1 (/.f64 z (/.f64 (*.f64 t t) (-.f64 z a))) (neg.f64 (/.f64 (-.f64 z a) t)))
(-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a)))
(*.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 z a)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (*.f64 -1 (/.f64 (-.f64 z a) t))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 z a) (.f64 z z)) (pow.f64 t 3)) (fma.f64 -1 (/.f64 z (/.f64 (*.f64 t t) (-.f64 z a))) (neg.f64 (/.f64 (-.f64 z a) t))))
(-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a))) (.f64 (/.f64 (.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(-.f64 (.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t))) (.f64 (/.f64 (*.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (-.f64 z a)) (pow.f64 t 3))) (+.f64 (.f64 -1 (/.f64 (.f64 z (-.f64 z a)) (pow.f64 t 2))) (+.f64 (.f64 -1 (/.f64 (-.f64 z a) t)) (.f64 -1 (/.f64 (*.f64 (pow.f64 z 3) (-.f64 z a)) (pow.f64 t 4))))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 z a) (.f64 z z)) (pow.f64 t 3)) (fma.f64 -1 (/.f64 z (/.f64 (.f64 t t) (-.f64 z a))) (.f64 -1 (+.f64 (/.f64 (-.f64 z a) t) (/.f64 (pow.f64 z 3) (/.f64 (pow.f64 t 4) (-.f64 z a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (-.f64 z a)) t) (.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 4)) (-.f64 z a))) (.f64 (/.f64 z (.f64 t t)) (-.f64 z a))) (.f64 (/.f64 (*.f64 z z) (pow.f64 t 3)) (-.f64 z a)))
(-.f64 (-.f64 (.f64 (/.f64 (-.f64 z a) t) (-.f64 -1 (/.f64 z t))) (.f64 (/.f64 (pow.f64 z 3) (pow.f64 t 4)) (-.f64 z a))) (.f64 (/.f64 (.f64 z z) (pow.f64 t 3)) (-.f64 z a)))

localize6.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.0b	(*.f64 (/.f64 t a) y)
	0.0b	(+.f64 x (*.f64 (/.f64 t a) y))
✓	0.0b	(+.f64 x (*.f64 (/.f64 t a) y))
✓	7.0b	(*.f64 (/.f64 t a) y)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series10.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 x (*.f64 (/.f64 t a) y))
1.0ms	t	@	0	(*.f64 (/.f64 t a) y)
1.0ms	y	@	inf	(*.f64 (/.f64 t a) y)
1.0ms	a	@	0	(*.f64 (/.f64 t a) y)
1.0ms	a	@	inf	(*.f64 (/.f64 t a) y)

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`prod-diff_binary64`
477×	`log-prod_binary64`
322×	`pow-prod-down_binary64`
247×	`pow2_binary64`
232×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	175	15
2	2531	15

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(*.f64 (/.f64 t a) y)
(+.f64 x (*.f64 (/.f64 t a) y))

Outputs

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

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	660
1	12	660
2	16	588
3	20	588
4	23	588
5	24	588

Stop Event

1×

saturated

Counts

181 → 102

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
	0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
	0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
✓	2.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

Compiler

Compiled 31 to 9 computations (71% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	t	@	-inf	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0ms	z	@	0	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0ms	a	@	inf	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0ms	z	@	inf	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
0.0ms	a	@	-inf	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
603×	`log-prod_binary64`
349×	`fma-def_binary64`
206×	`expm1-udef_binary64`
206×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	209	13
2	3284	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

Outputs

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

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

994×	`times-frac_binary64`
718×	`associate-/l*_binary64`
559×	`fma-def_binary64`
419×	`associate-/r*_binary64`
414×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	1259
1	445	1163
2	1531	955

Stop Event

1×	node limit

Counts

75 → 70

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))
(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
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y
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(*.f64 (/.f64 y (-.f64 z a)) (neg.f64 t))
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(-.f64 y (*.f64 (/.f64 y z) t))
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(.f64 (+.f64 (/.f64 a z) 1) (-.f64 y (.f64 (/.f64 y z) t)))
(+.f64 (/.f64 (.f64 a (.f64 (-.f64 z t) y)) (pow.f64 z 2)) (+.f64 (/.f64 (.f64 y (-.f64 z t)) z) (/.f64 (.f64 (pow.f64 a 2) (*.f64 (-.f64 z t) y)) (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (-.f64 z t) (/.f64 z y)) (/.f64 y (/.f64 (.f64 z z) (.f64 (-.f64 z t) a)))) (/.f64 y (/.f64 (pow.f64 z 3) (.f64 (-.f64 z t) (.f64 a a)))))
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(fma.f64 (.f64 (/.f64 a (pow.f64 z 3)) a) (.f64 y (-.f64 z t)) (.f64 (+.f64 (/.f64 a z) 1) (-.f64 y (.f64 (/.f64 y z) t))))
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(+.f64 (/.f64 y (/.f64 (pow.f64 z 4) (.f64 (-.f64 z t) (pow.f64 a 3)))) (+.f64 (+.f64 (/.f64 (-.f64 z t) (/.f64 z y)) (/.f64 y (/.f64 (.f64 z z) (.f64 (-.f64 z t) a)))) (/.f64 y (/.f64 (pow.f64 z 3) (.f64 (-.f64 z t) (*.f64 a a))))))
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(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
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(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (neg.f64 (-.f64 z t)))
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(-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a)))
(.f64 (.f64 (/.f64 y a) (-.f64 z t)) (-.f64 -1 (/.f64 z a)))
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(-.f64 (.f64 (.f64 (/.f64 y a) (-.f64 z t)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (-.f64 z t) (pow.f64 a 3)) (.f64 y (*.f64 z z))))
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(fma.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 3))) (pow.f64 a 4)) (fma.f64 -1 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 a (-.f64 z t))) (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (-.f64 z t) (*.f64 z z))))))))
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(-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 (-.f64 z t) (*.f64 z z))))
(-.f64 (.f64 (.f64 (/.f64 y a) (-.f64 z t)) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (-.f64 z t) (pow.f64 a 3)) (.f64 y (*.f64 z z))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 3))) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 z t) (pow.f64 z 2))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) (.f64 -1 (/.f64 (.f64 y (*.f64 (-.f64 z t) z)) (pow.f64 a 2))))))
(fma.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 3))) (pow.f64 a 4)) (fma.f64 -1 (/.f64 y (/.f64 (.f64 a a) (.f64 z (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 a (-.f64 z t))) (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (-.f64 z t) (*.f64 z z))))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 (-.f64 z t) (.f64 z z)))) (.f64 (/.f64 (-.f64 z t) (pow.f64 a 4)) (*.f64 y (pow.f64 z 3))))
(-.f64 (.f64 (.f64 (/.f64 y a) (-.f64 z t)) (-.f64 -1 (/.f64 z a))) (.f64 (.f64 (/.f64 y a) (/.f64 (-.f64 z t) a)) (+.f64 (/.f64 (pow.f64 z 3) (.f64 a a)) (.f64 (/.f64 z a) z))))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	10.6b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
	0.0b	(*.f64 (-.f64 z t) y)
✓	0.0b	(*.f64 (-.f64 z t) y)
✓	10.6b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

Compiler

Compiled 29 to 9 computations (69% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
0.0ms	z	@	0	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
0.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
0.0ms	a	@	-inf	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
0.0ms	a	@	inf	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`prod-diff_binary64`
588×	`log-prod_binary64`
330×	`fma-def_binary64`
299×	`pow2_binary64`
208×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	206	20
2	3196	20

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 z t) y) (-.f64 z a))
(*.f64 (-.f64 z t) y)

Outputs

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

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

simplify45.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

994×	`times-frac_binary64`
718×	`associate-/l*_binary64`
566×	`fma-def_binary64`
420×	`associate-/r*_binary64`
413×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1679
1	449	1508
2	1538	1111

Stop Event

1×	node limit

Counts

151 → 129

Calls

Call 1

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

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
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(fma.f64 -1 (/.f64 (.f64 (.f64 y (-.f64 z t)) (pow.f64 z 3)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (*.f64 z (-.f64 z t)))) (/.f64 y (/.f64 a (-.f64 z t)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t))))) (.f64 (/.f64 (-.f64 z t) (pow.f64 a 4)) (*.f64 y (pow.f64 z 3))))
(-.f64 (.f64 (/.f64 y (/.f64 a (-.f64 z t))) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (/.f64 y (/.f64 a (-.f64 z t))) a) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 a a)) (/.f64 z (/.f64 a z)))))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 y (/.f64 a (-.f64 z t))))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) (.f64 -1 (/.f64 (.f64 y (*.f64 (-.f64 z t) z)) (pow.f64 a 2))))
(.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (*.f64 z (-.f64 z t)))) (/.f64 y (/.f64 a (-.f64 z t)))))
(-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a)))
(*.f64 (/.f64 y (/.f64 a (-.f64 z t))) (-.f64 -1 (/.f64 z a)))
(+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 z t) (pow.f64 z 2))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 z t) z)) (pow.f64 a 2)))))
(fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (*.f64 z (-.f64 z t)))) (/.f64 y (/.f64 a (-.f64 z t))))))
(-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (*.f64 z (-.f64 z t)))))
(-.f64 (.f64 (/.f64 y (/.f64 a (-.f64 z t))) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) (.f64 y (pow.f64 z 3))) (pow.f64 a 4))) (+.f64 (.f64 -1 (/.f64 (.f64 y (.f64 (-.f64 z t) (pow.f64 z 2))) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) (.f64 -1 (/.f64 (.f64 y (*.f64 (-.f64 z t) z)) (pow.f64 a 2))))))
(fma.f64 -1 (/.f64 (.f64 (.f64 y (-.f64 z t)) (pow.f64 z 3)) (pow.f64 a 4)) (fma.f64 -1 (/.f64 y (/.f64 (pow.f64 a 3) (.f64 (.f64 z z) (-.f64 z t)))) (.f64 -1 (+.f64 (/.f64 y (/.f64 (.f64 a a) (*.f64 z (-.f64 z t)))) (/.f64 y (/.f64 a (-.f64 z t)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 y) (/.f64 a (-.f64 z t))) (.f64 (/.f64 y a) (/.f64 (.f64 z (-.f64 z t)) a))) (.f64 (/.f64 y (pow.f64 a 3)) (.f64 z (.f64 z (-.f64 z t))))) (.f64 (/.f64 (-.f64 z t) (pow.f64 a 4)) (*.f64 y (pow.f64 z 3))))
(-.f64 (.f64 (/.f64 y (/.f64 a (-.f64 z t))) (-.f64 -1 (/.f64 z a))) (.f64 (/.f64 (/.f64 y (/.f64 a (-.f64 z t))) a) (+.f64 (/.f64 (pow.f64 z 3) (*.f64 a a)) (/.f64 z (/.f64 a z)))))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(*.f64 y z)
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 -1 (.f64 y t)) (*.f64 y z))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(.f64 -1 (.f64 y t))
(neg.f64 (*.f64 y t))
(*.f64 y (neg.f64 t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))
(+.f64 (.f64 y z) (.f64 -1 (*.f64 y t)))
(fma.f64 y z (neg.f64 (*.f64 y t)))
(*.f64 y (-.f64 z t))

eval253.0ms (2.5%)

Compiler: Compiled 21528 to 6524 computations (69.7% saved)

prune147.0ms (1.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	739	15	754
Fresh	5	2	7
Picked	1	0	1
Done	3	1	4
Total	748	18	766

Error

Counts

766 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	50.7b	(*.f64 (/.f64 y (-.f64 z a)) z)
	54.5b	(*.f64 y (/.f64 t a))
	25.5b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
▶	24.7b	(+.f64 x (/.f64 y (/.f64 a t)))
	48.9b	(*.f64 y (/.f64 z (-.f64 z a)))
▶	21.8b	(+.f64 x (/.f64 y (/.f64 z (-.f64 z t))))
	35.8b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
✓	22.4b	(+.f64 x y)
	27.4b	x
	52.8b	(.f64 (/.f64 (.f64 (-.f64 z t) y) (-.f64 (.f64 z z) (.f64 a a))) (+.f64 z a))
	39.3b	(+.f64 0 (/.f64 (-.f64 z t) (/.f64 (-.f64 z a) y)))
▶	50.9b	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
▶	56.6b	(/.f64 (*.f64 y t) a)
	26.0b	(+.f64 x (/.f64 t (/.f64 a y)))
	49.2b	(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
▶	48.2b	(*.f64 y (/.f64 (-.f64 z t) z))
	52.9b	y
	52.2b	(/.f64 (*.f64 (-.f64 z t) y) z)

Compiler

Compiled 416 to 278 computations (33.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.5b	(/.f64 y (/.f64 z (-.f64 z t)))
	0.0b	(/.f64 z (-.f64 z t))
✓	0.0b	(/.f64 z (-.f64 z t))
✓	2.5b	(/.f64 y (/.f64 z (-.f64 z t)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 y (/.f64 z (-.f64 z t)))
1.0ms	y	@	inf	(/.f64 y (/.f64 z (-.f64 z t)))
1.0ms	y	@	0	(/.f64 y (/.f64 z (-.f64 z t)))
1.0ms	z	@	inf	(/.f64 y (/.f64 z (-.f64 z t)))
1.0ms	z	@	0	(/.f64 z (-.f64 z t))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
404×	`prod-diff_binary64`
373×	`exp-prod_binary64`
288×	`pow-prod-down_binary64`
234×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2576	17

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

Inputs
(/.f64 y (/.f64 z (-.f64 z t)))
(/.f64 z (-.f64 z t))

Outputs

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

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-/l*_binary64`
777×	`fma-neg_binary64`
519×	`associate-/r*_binary64`
506×	`associate-*l/_binary64`
400×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	828
1	122	792
2	374	702
3	1582	684

Stop Event

1×	node limit

Counts

170 → 130

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.2b	(/.f64 (*.f64 y t) a)
✓	5.2b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	inf	(/.f64 (*.f64 y t) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	-inf	(/.f64 (*.f64 y t) a)
0.0ms	y	@	0	(/.f64 (*.f64 y t) a)

rewrite44.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
659×	`add-log-exp_binary64`
659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
644×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1731	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.9b	(*.f64 y (/.f64 (-.f64 z t) z))
	0.0b	(/.f64 (-.f64 z t) z)
✓	0.0b	(/.f64 (-.f64 z t) z)
✓	2.9b	(*.f64 y (/.f64 (-.f64 z t) z))

Compiler

Compiled 23 to 8 computations (65.2% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (-.f64 z t) z)
0.0ms	t	@	0	(/.f64 (-.f64 z t) z)
0.0ms	t	@	-inf	(/.f64 (-.f64 z t) z)
0.0ms	t	@	inf	(/.f64 (-.f64 z t) z)
0.0ms	y	@	0	(*.f64 y (/.f64 (-.f64 z t) z))

rewrite56.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

465×	`prod-diff_binary64`
452×	`log-prod_binary64`
338×	`exp-prod_binary64`
309×	`pow-prod-down_binary64`
228×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2458	17

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

Inputs
(*.f64 y (/.f64 (-.f64 z t) z))
(/.f64 (-.f64 z t) z)

Outputs

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

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

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1802×	`fma-neg_binary64`
799×	`div-sub_binary64`
495×	`associate-/l/_binary64`
436×	`associate-/r/_binary64`
409×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	513
1	37	477
2	75	477
3	142	477
4	265	477
5	484	477
6	836	477
7	1982	477
8	4649	477
9	6102	477
10	6492	477
11	6640	477
12	6674	477
13	7921	477

Stop Event

1×	node limit

Counts

148 → 97

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))

Outputs
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
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(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.5b	(/.f64 y (/.f64 a t))
	0.0b	(+.f64 x (/.f64 y (/.f64 a t)))
✓	0.0b	(+.f64 x (/.f64 y (/.f64 a t)))
✓	7.5b	(/.f64 y (/.f64 a t))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 y (/.f64 a t))
0.0ms	y	@	0	(/.f64 y (/.f64 a t))
0.0ms	y	@	inf	(/.f64 y (/.f64 a t))
0.0ms	y	@	inf	(+.f64 x (/.f64 y (/.f64 a t)))
0.0ms	a	@	inf	(/.f64 y (/.f64 a t))

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
523×	`log-prod_binary64`
257×	`pow2_binary64`
233×	`fma-def_binary64`
178×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	181	15
2	2797	15

Stop Event

1×	node limit

Counts

2 → 117

Calls

Call 1

Inputs
(/.f64 y (/.f64 a t))
(+.f64 x (/.f64 y (/.f64 a t)))

Outputs

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

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	660
1	12	660
2	16	588
3	20	588
4	23	588
5	24	588

Stop Event

1×

saturated

Counts

201 → 120

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(/.f64 (*.f64 y t) a)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
x
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
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(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(*.f64 (/.f64 y a) t)
(*.f64 t (/.f64 y a))
(*.f64 y (/.f64 t a))
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)
(+.f64 (/.f64 (*.f64 y t) a) x)
(+.f64 (/.f64 y (/.f64 a t)) x)
(+.f64 (*.f64 (/.f64 y a) t) x)
(fma.f64 (/.f64 y a) t x)
(fma.f64 t (/.f64 y a) x)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.4b	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
	0.0b	(/.f64 a (-.f64 z t))
✓	0.0b	(/.f64 a (-.f64 z t))
✓	5.4b	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))

Compiler

Compiled 27 to 9 computations (66.7% saved)

series19.0ms (0.2%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	t	@	inf	(/.f64 a (-.f64 z t))
1.0ms	a	@	0	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
1.0ms	y	@	0	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
1.0ms	a	@	inf	(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
1.0ms	a	@	inf	(/.f64 a (-.f64 z t))

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
404×	`prod-diff_binary64`
306×	`pow-prod-down_binary64`
260×	`pow2_binary64`
195×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	207	17
2	3303	17

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

Inputs
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(/.f64 a (-.f64 z t))

Outputs

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

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

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

582×	`associate-/r/_binary64`
543×	`associate-/l/_binary64`
464×	`unswap-sqr_binary64`
376×	`sub-neg_binary64`
360×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	1176
1	161	1158
2	522	966
3	2471	930
4	6118	930

Stop Event

1×	node limit

Counts

173 → 124

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(*.f64 y (/.f64 (-.f64 t z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
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(-.f64 (/.f64 (neg.f64 a) t) (.f64 (/.f64 a (.f64 t t)) (+.f64 z (/.f64 z (/.f64 t z)))))
(.f64 (/.f64 a t) (-.f64 -1 (.f64 (+.f64 1 (/.f64 z t)) (/.f64 z t))))
(+.f64 (.f64 -1 (/.f64 a t)) (+.f64 (.f64 -1 (/.f64 (.f64 a (pow.f64 z 3)) (pow.f64 t 4))) (+.f64 (.f64 -1 (/.f64 (.f64 a z) (pow.f64 t 2))) (.f64 -1 (/.f64 (*.f64 a (pow.f64 z 2)) (pow.f64 t 3))))))
(fma.f64 -1 (/.f64 a t) (fma.f64 -1 (/.f64 a (/.f64 (pow.f64 t 4) (pow.f64 z 3))) (.f64 -1 (+.f64 (/.f64 (.f64 z a) (.f64 t t)) (/.f64 (.f64 a (*.f64 z z)) (pow.f64 t 3))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 a) z) (.f64 t t)) (.f64 (/.f64 a (pow.f64 t 3)) (.f64 z z))) (*.f64 (/.f64 a (pow.f64 t 4)) (pow.f64 z 3))) (/.f64 a t))
(-.f64 (neg.f64 (fma.f64 (/.f64 a (pow.f64 t 4)) (pow.f64 z 3) (.f64 (/.f64 a (.f64 t t)) (+.f64 z (/.f64 z (/.f64 t z)))))) (/.f64 a t))
(-.f64 (.f64 (/.f64 a t) (-.f64 -1 (.f64 (+.f64 1 (/.f64 z t)) (/.f64 z t)))) (*.f64 a (/.f64 (pow.f64 z 3) (pow.f64 t 4))))
(+.f64 (.f64 (/.f64 a t) (-.f64 -1 (/.f64 z t))) (.f64 (.f64 (.f64 z z) (/.f64 a (pow.f64 t 3))) (-.f64 -1 (/.f64 z t))))

eval119.0ms (1.2%)

Compiler: Compiled 6605 to 2592 computations (60.8% saved)

prune103.0ms (1%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	502	10	512
Fresh	4	8	12
Picked	1	0	1
Done	2	3	5
Total	509	21	530

Error

Counts

530 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.5b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
▶	58.5b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	24.7b	(+.f64 x (/.f64 y (/.f64 a t)))
	48.9b	(*.f64 y (/.f64 z (-.f64 z a)))
✓	22.4b	(+.f64 x y)
	27.4b	x
	52.8b	(.f64 (/.f64 (.f64 (-.f64 z t) y) (-.f64 (.f64 z z) (.f64 a a))) (+.f64 z a))
▶	56.0b	(.f64 t (.f64 y (/.f64 1 a)))
✓	56.6b	(/.f64 (*.f64 y t) a)
	54.5b	(*.f64 y (/.f64 t a))
	52.2b	(/.f64 (*.f64 y (-.f64 z t)) z)
	48.0b	(/.f64 y (/.f64 z (-.f64 z t)))
	35.8b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
	49.2b	(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
▶	48.3b	(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
	50.9b	(*.f64 y (/.f64 (-.f64 t z) a))
	58.5b	(/.f64 (neg.f64 y) (/.f64 a z))
	52.9b	y
	57.4b	(*.f64 y (/.f64 t (neg.f64 z)))
▶	56.0b	(*.f64 (/.f64 y a) t)
	31.0b	(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))

Compiler

Compiled 448 to 307 computations (31.5% saved)

localize11.0ms (0.1%)

Local error

Found 6 expressions with local error:

New	Error	Program
	5.7b	(*.f64 (/.f64 (-.f64 z t) a) y)
	0.0b	(/.f64 (-.f64 z t) a)
	0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
✓	0.0b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
✓	0.0b	(/.f64 (-.f64 z t) a)
✓	5.7b	(*.f64 (/.f64 (-.f64 z t) a) y)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series15.0ms (0.2%)

Counts

3 → 132

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(/.f64 (-.f64 z t) a)
1.0ms	a	@	0	(*.f64 (/.f64 (-.f64 z t) a) y)
1.0ms	x	@	0	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
1.0ms	z	@	-inf	(/.f64 (-.f64 z t) a)
1.0ms	a	@	-inf	(*.f64 (/.f64 (-.f64 z t) a) y)

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`log-prod_binary64`
381×	`fma-def_binary64`
337×	`pow2_binary64`
232×	`pow1/3_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	232	30
2	3597	30

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 z t) a) y)
(/.f64 (-.f64 z t) a)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))

Outputs

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

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

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

928×	`fma-def_binary64`
704×	`fma-neg_binary64`
254×	`cancel-sign-sub-inv_binary64`
131×	`distribute-rgt-in_binary64`
111×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	1769
1	102	1368
2	219	1304
3	475	1214
4	1142	1214
5	2382	1214
6	3339	1214
7	3662	1214
8	3772	1214
9	3779	1214
10	3779	1214

Stop Event

1×

saturated

Counts

312 → 213

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y z) a)
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(/.f64 (*.f64 y (-.f64 z t)) a)
(*.f64 -1 (/.f64 t a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(/.f64 z a)
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(/.f64 z a)
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(/.f64 z a)
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(*.f64 -1 (/.f64 t a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(*.f64 -1 (/.f64 t a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(+.f64 (*.f64 -1 (/.f64 t a)) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(-.f64 x (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 y z) a)) x) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(.f64 -1 (/.f64 (.f64 y z) a))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 (+.f64 x (.f64 -1 (/.f64 (.f64 y z) a))) (.f64 -1 (/.f64 (.f64 y t) a)))
(-.f64 x (/.f64 (*.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(/.f64 (*.f64 y t) a)
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(-.f64 (+.f64 (/.f64 (.f64 y t) a) x) (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a))
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))

Outputs
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 (*.f64 y t) a))
(*.f64 (/.f64 (neg.f64 y) a) t)
(*.f64 t (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y z) a)
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y z) a)
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y z) a)
(*.f64 (/.f64 y a) z)
(*.f64 z (/.f64 y a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 (*.f64 y t) a))
(*.f64 (/.f64 (neg.f64 y) a) t)
(*.f64 t (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(.f64 -1 (/.f64 (.f64 y t) a))
(neg.f64 (/.f64 (*.f64 y t) a))
(*.f64 (/.f64 (neg.f64 y) a) t)
(*.f64 t (/.f64 (neg.f64 y) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(+.f64 (/.f64 (.f64 y z) a) (.f64 -1 (/.f64 (*.f64 y t) a)))
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
(/.f64 (*.f64 y (-.f64 z t)) a)
(+.f64 (neg.f64 (/.f64 (.f64 y t) a)) (/.f64 (.f64 y z) a))
(/.f64 (-.f64 z t) (/.f64 a y))
(*.f64 y (/.f64 (-.f64 z t) a))
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(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 y (-.f64 z t)) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
x
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y)
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 (*.f64 (-.f64 (/.f64 t a) (/.f64 z a)) y) x)
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a))
(neg.f64 (/.f64 (-.f64 z t) (/.f64 a y)))
(/.f64 (neg.f64 y) (/.f64 a (-.f64 z t)))
(*.f64 (/.f64 y a) (-.f64 t z))
(/.f64 (-.f64 t z) (/.f64 a y))
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)
(+.f64 x (.f64 -1 (/.f64 (.f64 (-.f64 z t) y) a)))
(fma.f64 -1 (/.f64 (-.f64 z t) (/.f64 a y)) x)
(-.f64 x (/.f64 (-.f64 z t) (/.f64 a y)))
(+.f64 (*.f64 (/.f64 y a) (-.f64 t z)) x)
(fma.f64 y (/.f64 (-.f64 t z) a) x)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	6.5b	(*.f64 (/.f64 y a) t)
✓	6.5b	(*.f64 (/.f64 y a) t)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 (/.f64 y a) t)
0.0ms	y	@	inf	(*.f64 (/.f64 y a) t)
0.0ms	a	@	inf	(*.f64 (/.f64 y a) t)
0.0ms	y	@	-inf	(*.f64 (/.f64 y a) t)
0.0ms	a	@	-inf	(*.f64 (/.f64 y a) t)

rewrite43.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
629×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
614×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1675	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 (/.f64 y a) t)

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

59 → 24

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	5.0b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	5.0b	(*.f64 z (/.f64 (neg.f64 y) a))

Compiler

Compiled 20 to 8 computations (60% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 z (/.f64 (neg.f64 y) a))
1.0ms	z	@	0	(*.f64 z (/.f64 (neg.f64 y) a))
1.0ms	a	@	inf	(*.f64 z (/.f64 (neg.f64 y) a))
1.0ms	y	@	0	(*.f64 z (/.f64 (neg.f64 y) a))
1.0ms	z	@	inf	(*.f64 z (/.f64 (neg.f64 y) a))

rewrite45.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

695×	`pow1_binary64`
641×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2148	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(*.f64 z (/.f64 (neg.f64 y) a))

Outputs

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

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

145×	`fma-def_binary64`
46×	`fma-neg_binary64`
24×	`sub-neg_binary64`
18×	`div-sub_binary64`
14×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))
(.f64 -1 (/.f64 (.f64 y z) a))

Outputs
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))
(.f64 -1 (/.f64 (.f64 y z) a))
(neg.f64 (/.f64 y (/.f64 a z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 (/.f64 y a) (neg.f64 z))
(*.f64 (/.f64 z a) (neg.f64 y))
(*.f64 (neg.f64 y) (/.f64 z a))

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	6.5b	(.f64 t (.f64 y (/.f64 1 a)))
	0.2b	(*.f64 y (/.f64 1 a))
✓	0.2b	(*.f64 y (/.f64 1 a))
✓	6.5b	(.f64 t (.f64 y (/.f64 1 a)))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(*.f64 y (/.f64 1 a))
0.0ms	y	@	0	(*.f64 y (/.f64 1 a))
0.0ms	a	@	inf	(*.f64 y (/.f64 1 a))
0.0ms	y	@	inf	(*.f64 y (/.f64 1 a))
0.0ms	a	@	0	(*.f64 y (/.f64 1 a))

rewrite48.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`pow1_binary64`
692×	`add-log-exp_binary64`
692×	`log1p-expm1-u_binary64`
692×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	161	11
2	1962	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(.f64 t (.f64 y (/.f64 1 a)))
(*.f64 y (/.f64 1 a))

Outputs

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

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

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	348
1	10	348
2	13	348
3	16	348
4	17	348

Stop Event

1×

saturated

Counts

100 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)

Outputs
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 (*.f64 y t) a)
(/.f64 y (/.f64 a t))
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t a))
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)
(/.f64 y a)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.9b	(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
	0.2b	(*.f64 (/.f64 1 z) (-.f64 z t))
✓	0.2b	(*.f64 (/.f64 1 z) (-.f64 z t))
✓	2.9b	(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))

Compiler

Compiled 31 to 16 computations (48.4% saved)

series4.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
368×	`prod-diff_binary64`
366×	`exp-prod_binary64`
366×	`pow-prod-down_binary64`
249×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	191	17
2	2608	17

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

Inputs
(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
(*.f64 (/.f64 1 z) (-.f64 z t))

Outputs

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

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

simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1802×	`fma-neg_binary64`
799×	`div-sub_binary64`
495×	`associate-/l/_binary64`
436×	`associate-/r/_binary64`
409×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	513
1	37	477
2	75	477
3	142	477
4	265	477
5	484	477
6	836	477
7	1982	477
8	4649	477
9	6102	477
10	6492	477
11	6640	477
12	6674	477
13	7921	477

Stop Event

1×	node limit

Counts

146 → 95

Calls

Call 1

Inputs
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 (*.f64 y (-.f64 z t)) z)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(*.f64 -1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 1 (*.f64 -1 (/.f64 t z)))

Outputs
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(/.f64 (*.f64 y (-.f64 z t)) z)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
y
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(.f64 -1 (/.f64 (.f64 y t) z))
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y z) (neg.f64 t))
(*.f64 t (/.f64 (neg.f64 y) z))
(*.f64 y (neg.f64 (/.f64 t z)))
(*.f64 y (/.f64 t (neg.f64 z)))
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(+.f64 (.f64 -1 (/.f64 (.f64 y t) z)) y)
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 (/.f64 y z) (-.f64 z t))
(*.f64 (-.f64 z t) (/.f64 y z))
(*.f64 y (-.f64 1 (/.f64 t z)))
(fma.f64 t (/.f64 y (neg.f64 z)) y)
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
1
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(*.f64 -1 (/.f64 t z))
(neg.f64 (/.f64 t z))
(/.f64 (neg.f64 t) z)
(/.f64 t (neg.f64 z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))
(+.f64 1 (*.f64 -1 (/.f64 t z)))
(+.f64 (neg.f64 (/.f64 t z)) 1)
(-.f64 1 (/.f64 t z))

eval82.0ms (0.8%)

Compiler: Compiled 5602 to 1736 computations (69% saved)

prune83.0ms (0.8%)

Pruning

25 alts after pruning (17 fresh and 8 done)

	Pruned	Kept	Total
New	391	6	397
Fresh	2	11	13
Picked	0	1	1
Done	0	7	7
Total	393	25	418

Error

Counts

418 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	55.8b	(/.f64 t (/.f64 a y))
✓	56.6b	(/.f64 (*.f64 y t) a)
✓	25.5b	(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
✓	58.5b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	24.7b	(+.f64 x (/.f64 y (/.f64 a t)))
	48.9b	(*.f64 y (/.f64 z (-.f64 z a)))
	58.5b	(*.f64 y (/.f64 (neg.f64 z) a))
	48.0b	(/.f64 y (/.f64 z (-.f64 z t)))
	35.8b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
	52.9b	y
	62.2b	(/.f64 (*.f64 z y) a)
	49.2b	(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
	62.2b	(/.f64 z (/.f64 a y))
	50.9b	(*.f64 y (/.f64 (-.f64 t z) a))
	57.5b	(.f64 -1 (/.f64 (.f64 y t) z))
✓	22.4b	(+.f64 x y)
	27.4b	x
	52.8b	(.f64 (/.f64 (.f64 (-.f64 z t) y) (-.f64 (.f64 z z) (.f64 a a))) (+.f64 z a))
✓	56.0b	(.f64 t (.f64 y (/.f64 1 a)))
	54.5b	(*.f64 y (/.f64 t a))
✓	48.3b	(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
	58.5b	(/.f64 (neg.f64 y) (/.f64 a z))
	57.4b	(*.f64 y (/.f64 t (neg.f64 z)))
✓	56.0b	(*.f64 (/.f64 y a) t)
	31.0b	(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))

Compiler

Compiled 286 to 199 computations (30.4% saved)

regimes382.0ms (3.7%)

Counts

25 → 7

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(.f64 (/.f64 (.f64 (-.f64 z t) y) (-.f64 (.f64 z z) (.f64 a a))) (+.f64 z a))

Outputs
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))
(+.f64 x y)
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
x
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(+.f64 x y)
(-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))

Calls

5 calls:

92.0ms	x
83.0ms	z
83.0ms	a
69.0ms	t
47.0ms	y

Results

Error	Segments	Branch
10.4b	8	`x`
14.5b	4	`y`
11.3b	7	`z`
18.4b	5	`t`
9.5b	7	`a`

Compiler

Compiled 196 to 93 computations (52.6% saved)

bsearch589.0ms (5.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
23.0ms	1.3675986399721009e+35	3.108070130329978e+42
155.0ms	1.149222030027991e-239	1.6067498536319987e-232
92.0ms	-2.3032903720797042e-299	-2.3449425261558715e-300
104.0ms	-4.756316636569438e-245	-6.201600331542712e-246
191.0ms	-3.4118280999015094e-179	-4.6212405250830186e-194
24.0ms	-7.352093512701898e+64	-1.0656925188947696e+62

Compiler

Compiled 729 to 532 computations (27% saved)

regimes344.0ms (3.3%)

Counts

23 → 6

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

Outputs
(+.f64 x y)
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
(+.f64 x y)

Calls

5 calls:

87.0ms	t
72.0ms	a
68.0ms	y
60.0ms	z
51.0ms	x

Results

Error	Segments	Branch
12.9b	5	`x`
13.5b	7	`y`
12.5b	6	`z`
17.0b	9	`t`
12.6b	7	`a`

Compiler

Compiled 170 to 83 computations (51.2% saved)

bsearch115.0ms (1.1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
23.0ms	4.449556251573296e+166	2.116445364876902e+169
23.0ms	5.725129025365141e+152	1.6720333941235434e+153
22.0ms	10694994263919630.0	3.9556099906328047e+21
23.0ms	-26253.584081986362	-3864.049800201807
23.0ms	-1.8644346894045836e+95	-1.7015498488865116e+95

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes325.0ms (3.2%)

Counts

22 → 7

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
(.f64 y (.f64 (/.f64 1 z) (-.f64 z t)))

Outputs
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x y)
(*.f64 y (/.f64 (neg.f64 t) (-.f64 z a)))
(+.f64 x y)
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(+.f64 x y)
(+.f64 x (/.f64 y (/.f64 a t)))

Calls

5 calls:

94.0ms	x
82.0ms	y
65.0ms	a
41.0ms	z
37.0ms	t

Results

Error	Segments	Branch
13.7b	10	`x`
15.4b	9	`y`
14.6b	3	`z`
20.1b	3	`t`
12.8b	7	`a`

Compiler

Compiled 161 to 81 computations (49.7% saved)

bsearch712.0ms (6.9%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
24.0ms	1.3675986399721009e+35	3.108070130329978e+42
215.0ms	1.149222030027991e-239	1.6067498536319987e-232
96.0ms	-2.3032903720797042e-299	-2.3449425261558715e-300
167.0ms	-4.2012317152630854e-209	-1.117363070782323e-214
186.0ms	-3.4118280999015094e-179	-4.6212405250830186e-194
23.0ms	-3.440354216829813e+94	-1.353180792874031e+91

Compiler

Compiled 806 to 595 computations (26.2% saved)

regimes340.0ms (3.3%)

Counts

20 → 7

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))

Outputs
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x y)
(/.f64 y (/.f64 z (-.f64 z t)))
x
(+.f64 x (*.f64 (/.f64 t z) (neg.f64 y)))
(+.f64 x y)
(+.f64 x (/.f64 y (/.f64 a t)))

Calls

5 calls:

96.0ms	a
83.0ms	y
67.0ms	x
47.0ms	t
41.0ms	z

Results

Error	Segments	Branch
14.8b	7	`x`
15.4b	9	`y`
14.6b	3	`z`
20.1b	3	`t`
12.9b	7	`a`

Compiler

Compiled 144 to 74 computations (48.6% saved)

bsearch754.0ms (7.3%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
25.0ms	1.3675986399721009e+35	3.108070130329978e+42
197.0ms	1.149222030027991e-239	1.6067498536319987e-232
122.0ms	-2.3032903720797042e-299	-2.3449425261558715e-300
160.0ms	-4.756316636569438e-245	-6.201600331542712e-246
225.0ms	-3.4118280999015094e-179	-4.6212405250830186e-194
24.0ms	-3.440354216829813e+94	-1.353180792874031e+91

Compiler

Compiled 697 to 516 computations (26% saved)

regimes249.0ms (2.4%)

Counts

19 → 3

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))
(+.f64 x (/.f64 y (/.f64 a t)))

Outputs
(+.f64 x y)
(+.f64 x (/.f64 y (/.f64 a t)))
(+.f64 x y)

Calls

5 calls:

67.0ms	x
55.0ms	y
48.0ms	a
37.0ms	t
37.0ms	z

Results

Error	Segments	Branch
14.8b	7	`x`
16.8b	6	`y`
14.6b	3	`z`
20.2b	4	`t`
14.8b	5	`a`

Compiler

Compiled 136 to 71 computations (47.8% saved)

bsearch47.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	3.555318880041199e-94	4.331343701533379e-92
23.0ms	-3.302919194384396e-44	-8.305856722267387e-46

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes223.0ms (2.2%)

Counts

18 → 5

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 z (-.f64 z a)))

Outputs
(+.f64 x y)
(*.f64 y (/.f64 (-.f64 t z) a))
(/.f64 y (/.f64 z (-.f64 z t)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 x y)

Calls

5 calls:

72.0ms	a
69.0ms	x
45.0ms	z
21.0ms	y
10.0ms	t

Results

Error	Segments	Branch
18.0b	5	`x`
21.3b	2	`y`
18.9b	3	`z`
22.4b	1	`t`
18.5b	6	`a`

Compiler

Compiled 129 to 68 computations (47.3% saved)

bsearch110.0ms (1.1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
22.0ms	3.2804018435109405e-235	5.979678158289958e-234
27.0ms	6.263793430675803e-286	1.1774507903914907e-285
24.0ms	-1.450378323631937e-218	-3.031517543077554e-224
36.0ms	-3.4996900664560357e-152	-2.149665044707195e-157

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes198.0ms (1.9%)

Counts

16 → 8

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))
(*.f64 y (/.f64 (-.f64 t z) a))

Outputs
(+.f64 x y)
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 x y)
(*.f64 y (/.f64 t (neg.f64 z)))
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 x y)
(*.f64 y (/.f64 (-.f64 t z) a))
(+.f64 x y)

Calls

5 calls:

89.0ms	x
37.0ms	y
36.0ms	a
23.0ms	z
9.0ms	t

Results

Error	Segments	Branch
17.7b	8	`x`
22.4b	1	`y`
18.9b	3	`z`
22.4b	1	`t`
19.6b	4	`a`

Compiler

Compiled 115 to 62 computations (46.1% saved)

bsearch171.0ms (1.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
23.0ms	3.2804018435109405e-235	5.979678158289958e-234
25.0ms	6.263793430675803e-286	1.1774507903914907e-285
25.0ms	-1.2339209565718572e-287	-5.154433228853119e-293
24.0ms	-1.1342731104143966e-254	-2.611247899570862e-274
24.0ms	-1.2458026484204553e-237	-5.617615274442918e-240
26.0ms	-8.38326387334517e-215	-1.450378323631937e-218
23.0ms	-3.4996900664560357e-152	-2.149665044707195e-157

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes106.0ms (1%)

Counts

15 → 3

Calls

Call 1

Inputs
x
y
(+.f64 x y)
(*.f64 (/.f64 y a) t)
(*.f64 y (/.f64 t a))
(/.f64 z (/.f64 a y))
(/.f64 (*.f64 z y) a)
(/.f64 (*.f64 y t) a)
(/.f64 t (/.f64 a y))
(*.f64 y (/.f64 t (neg.f64 z)))
(/.f64 (neg.f64 y) (/.f64 a z))
(*.f64 y (/.f64 (neg.f64 z) a))
(*.f64 z (/.f64 (neg.f64 y) a))
(.f64 t (.f64 y (/.f64 1 a)))
(.f64 -1 (/.f64 (.f64 y t) z))

Outputs
(+.f64 x y)
x
(+.f64 x y)

Calls

5 calls:

33.0ms	z
29.0ms	a
22.0ms	x
9.0ms	t
9.0ms	y

Results

Error	Segments	Branch
21.1b	3	`x`
22.4b	1	`y`
18.9b	3	`z`
22.4b	1	`t`
19.6b	4	`a`

Compiler

Compiled 108 to 59 computations (45.4% saved)

bsearch71.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	30202.516212601757	231542533.1532033
47.0ms	-5.656673676119437e-65	-1.8733572384770914e-71

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes32.0ms (0.3%)

Accuracy

Total -38.3b remaining (-162.6%)

Threshold costs -38.3b (-162.6%)

Counts

2 → 5

Calls

Call 1

Inputs
x
y

Outputs
x
y
x
y
x

Calls

5 calls:

14.0ms	x
7.0ms	y
4.0ms	t
3.0ms	a
3.0ms	z

Results

Error	Segments	Branch
23.6b	5	`x`
25.6b	2	`y`
27.4b	1	`z`
27.4b	1	`t`
27.4b	1	`a`

Compiler

Compiled 37 to 30 computations (18.9% saved)

bsearch164.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	2.946228257494404e-30	1.037938203053481e-29
23.0ms	4.868691035507561e-42	1.9300640867481703e-40
62.0ms	7.992099380437719e-252	4.091620933659484e-250
55.0ms	-8.8952717139431e-228	-9.592637763175937e-230

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

61×	`distribute-rgt-neg-in_binary64`
50×	`cancel-sign-sub-inv_binary64`
44×	`neg-sub0_binary64`
44×	`neg-mul-1_binary64`
42×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	601
1	159	593
2	194	593
3	222	593
4	249	593
5	266	593
6	299	593
7	358	593
8	397	593
9	428	593
10	461	593
11	493	593
12	537	593
13	565	593
14	580	593
15	592	593
16	601	593
17	613	593
18	618	593

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 a -73520935127018977245141799576589111256694637677972909861051039744) (-.f64 x (.f64 (/.f64 (-.f64 z t) a) y)) (if (<=.f64 a -3955622197964377088/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x y) (if (<=.f64 a -5658145163264266/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 a -1853047973394567424/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) x (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))))))))
(if (<=.f64 z -186443468940458360058048505900668830045685157482249013923788688837538883347538443583777029488640) (+.f64 x y) (if (<=.f64 z -7216530242234727/274877906944) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 z 10694994263919630) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 z 572512902536514059847091714871212596120405230462573218188497191384394345081347306124741987752903880199896897993216977081214546393015303264793213611802624) (+.f64 x (*.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 z 44495562515732963121170999208360021535515284917756043562584308324876668688662444685507138697552864572398605746143950153666272983761556839415364510409717397987952427008) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (+.f64 x y))))))
(if (<=.f64 a -34403542168298128862533707660795215636754518288091058746253796335193528401368024662410608508928) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 a -3955622197964377088/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x y) (if (<=.f64 a -7773132309511873/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 y (/.f64 (neg.f64 t) (-.f64 z a))) (if (<=.f64 a -1853047973394567424/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 x y) (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (+.f64 x (/.f64 y (/.f64 a t)))))))))
(if (<=.f64 a -34403542168298128862533707660795215636754518288091058746253796335193528401368024662410608508928) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 a -3955622197964377088/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x y) (if (<=.f64 a -5658145163264266/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 y (/.f64 z (-.f64 z t))) (if (<=.f64 a -1853047973394567424/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) x (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (*.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (+.f64 x (/.f64 y (/.f64 a t)))))))))
(if (<=.f64 z -3317241569105963/100433627766186892221372630771322662657637687111424552206336) (+.f64 x y) (if (<=.f64 z 834981778511653/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (+.f64 x (/.f64 y (/.f64 a t))) (+.f64 x y)))
(if (<=.f64 x -4127405877914463/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 x y) (if (<=.f64 x -5764450785585549/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x 6711708574605921/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 y (/.f64 z (-.f64 z t))) (if (<=.f64 x 9394711321029796/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (.f64 y (/.f64 (-.f64 t z) a)) (+.f64 x y)))))
(if (<=.f64 x -4127405877914463/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 x y) (if (<=.f64 x -130151688358992960/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x -570854757591921/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 x y) (if (<=.f64 x -5992302810461663/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 y (/.f64 t (neg.f64 z))) (if (<=.f64 x -8461804323547247/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x 6711708574605921/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (+.f64 x y) (if (<=.f64 x 9394711321029796/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (.f64 y (/.f64 (-.f64 t z) a)) (+.f64 x y))))))))
(if (<=.f64 z -6707180166057977/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (+.f64 x y) (if (<=.f64 z 8302004440962197/274877906944) x (+.f64 x y)))
(if (<=.f64 x -7592166422138945/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) x (if (<=.f64 x 4222182394977985536/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) y (if (<=.f64 x 30561268948046088/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 4305917422278644736/1461501637330902918203684832716283019655932542976) y x))))
x

Outputs
(if (<=.f64 a -73520935127018977245141799576589111256694637677972909861051039744) (-.f64 x (.f64 (/.f64 (-.f64 z t) a) y)) (if (<=.f64 a -3955622197964377088/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x y) (if (<=.f64 a -5658145163264266/123003155723136208567847447683223664415731869180715065944930703618254955521953492303010368693540149343822709050322214299552689203876695953600699775494388206142090885899729347827083318884583758435450548517566916626912548274908112766882031433928533568160966639616) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 a -1853047973394567424/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) x (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))))))))
(if (<=.f64 a -73520935127018977245141799576589111256694637677972909861051039744) (-.f64 x (.f64 (/.f64 (-.f64 z t) a) y)) (if (<=.f64 a -3862912302699587/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (+.f64 x y) (if (<=.f64 a -2829072581632133/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 a -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) x (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))))))))
(if (<=.f64 a -73520935127018977245141799576589111256694637677972909861051039744) (-.f64 x (.f64 (/.f64 (-.f64 z t) a) y)) (if (<=.f64 a -3862912302699587/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (+.f64 x y) (if (<=.f64 a -2829072581632133/61501577861568104283923723841611832207865934590357532972465351809127477760976746151505184346770074671911354525161107149776344601938347976800349887747194103071045442949864673913541659442291879217725274258783458313456274137454056383441015716964266784080483319808) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 a -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) x (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (-.f64 x (.f64 y (/.f64 t z))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (-.f64 x (*.f64 (/.f64 (-.f64 z t) a) y))))))))
(if (<=.f64 z -186443468940458360058048505900668830045685157482249013923788688837538883347538443583777029488640) (+.f64 x y) (if (<=.f64 z -7216530242234727/274877906944) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 z 10694994263919630) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 z 572512902536514059847091714871212596120405230462573218188497191384394345081347306124741987752903880199896897993216977081214546393015303264793213611802624) (+.f64 x (*.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 z 44495562515732963121170999208360021535515284917756043562584308324876668688662444685507138697552864572398605746143950153666272983761556839415364510409717397987952427008) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (+.f64 x y))))))
(if (<=.f64 z -186443468940458360058048505900668830045685157482249013923788688837538883347538443583777029488640) (+.f64 x y) (if (<=.f64 z -7216530242234727/274877906944) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (if (<=.f64 z 10694994263919630) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 z 572512902536514059847091714871212596120405230462573218188497191384394345081347306124741987752903880199896897993216977081214546393015303264793213611802624) (-.f64 x (*.f64 y (/.f64 t z))) (if (<=.f64 z 44495562515732963121170999208360021535515284917756043562584308324876668688662444685507138697552864572398605746143950153666272983761556839415364510409717397987952427008) (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))) (+.f64 x y))))))
(if (<=.f64 a -34403542168298128862533707660795215636754518288091058746253796335193528401368024662410608508928) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 a -3955622197964377088/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016) (+.f64 x y) (if (<=.f64 a -7773132309511873/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 y (/.f64 (neg.f64 t) (-.f64 z a))) (if (<=.f64 a -1853047973394567424/772103322247736428651791941524190166662432288223808740069966728315087660095197093551484618001698015194652854401843307157096133183997320086925557708514169730840749451738610692460887556999562135090788908685580234789131193097780962748024381086918485856402626253175196722230275782071039209488625822100242638638716536487936) (+.f64 x y) (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (+.f64 x (/.f64 y (/.f64 a t)))))))))
(if (<=.f64 a -34403542168298128862533707660795215636754518288091058746253796335193528401368024662410608508928) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 a -3862912302699587/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (+.f64 x y) (if (<=.f64 a -7773132309511873/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 y (/.f64 (neg.f64 t) (-.f64 z a))) (if (<=.f64 a -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 x y) (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (+.f64 x (.f64 (/.f64 t z) (neg.f64 y))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (+.f64 x (/.f64 y (/.f64 a t)))))))))
(if (<=.f64 a -34403542168298128862533707660795215636754518288091058746253796335193528401368024662410608508928) (+.f64 x (/.f64 y (/.f64 a t))) (if (<=.f64 a -3862912302699587/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (+.f64 x y) (if (<=.f64 a -7773132309511873/185074578797901741880056797082722491652594329967104984657651428941017502866551504889831353286343393081484762513295539999743888383402206229143653783207080500031048652651411283677848015502881818392904162310804899782048803192832) (.f64 y (/.f64 (neg.f64 t) (-.f64 z a))) (if (<=.f64 a -7238468646072529/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (+.f64 x y) (if (<=.f64 a 2698013860351689/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832) (-.f64 x (.f64 y (/.f64 t z))) (if (<=.f64 a 136759863997210088263038726402211840) (+.f64 x y) (+.f64 x (/.f64 y (/.f64 a t)))))))))
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(if (<=.f64 x -4127405877914463/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 x y) (if (<=.f64 x -5764450785585549/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x 6711708574605921/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (/.f64 y (/.f64 z (-.f64 z t))) (if (<=.f64 x 2348677830257449/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824) (.f64 y (/.f64 (-.f64 t z) a)) (+.f64 x y)))))
(if (<=.f64 x -4127405877914463/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 x y) (if (<=.f64 x -130151688358992960/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x -570854757591921/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 x y) (if (<=.f64 x -5992302810461663/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 y (/.f64 t (neg.f64 z))) (if (<=.f64 x -8461804323547247/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x 6711708574605921/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (+.f64 x y) (if (<=.f64 x 9394711321029796/28638903918474961204418783933674838490721739172170652529441449702311064005352904159345284265824628375429359509218999720074396860757073376700445026041564579620512874307979212102266801261478978776245040008231745247475930553606737583615358787106474295296) (.f64 y (/.f64 (-.f64 t z) a)) (+.f64 x y))))))))
(if (<=.f64 x -4127405877914463/117936325775673167257548580655883402841153788138013763386756446882675755074754651627691460161801836485670886719711370153117830769685149769767544820357271751364043603968) (+.f64 x y) (if (<=.f64 x -2033620130609265/24258095192198577111702804507226602425888844017448384549047688094157046135724638848919975137947601217976370792142673018846430938189293974866316988672518455300069609000325779774222895087993725700394734362401819824232700732090875904) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x -570854757591921/458222462695599379270700542938797415851547826754730440471063195236977024085646466549524548253194054006869752147503995521190349772113174027207120416665033273928205988927667393636268820183663660419920640131707923959614888857707801337845740593703588724736) (+.f64 x y) (if (<=.f64 x -5992302810461663/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) (.f64 y (/.f64 t (neg.f64 z))) (if (<=.f64 x -8461804323547247/685765508599211085406992031398401158759299079491541508764000248557024672719959118395646962442045349201660590667234013968119772982843080987903012964780708787451812337588750783066948774723991753080189067657794974398949244241113521123786594812548932026532556574571938698730267509225767960757581162756440064) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 x 6711708574605921/10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376) (+.f64 x y) (if (<=.f64 x 2348677830257449/7159725979618740301104695983418709622680434793042663132360362425577766001338226039836321066456157093857339877304749930018599215189268344175111256510391144905128218576994803025566700315369744694061260002057936311868982638401684395903839696776618573824) (.f64 y (/.f64 (-.f64 t z) a)) (+.f64 x y))))))))
(if (<=.f64 z -6707180166057977/118571099379011784113736688648896417641748464297615937576404566024103044751294464) (+.f64 x y) (if (<=.f64 z 8302004440962197/274877906944) x (+.f64 x y)))
(if (<=.f64 x -7592166422138945/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) x (if (<=.f64 x 4222182394977985536/528294531135665246352339784916516606518847326036121522127960709026673902556724859474417255887657187894674394993257128678882347559502685537250538978462939576908386683999005084168731517676426441053024232908211188404148028292751561738838396898767036476489538580897737998336) y (if (<=.f64 x 30561268948046088/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 4305917422278644736/1461501637330902918203684832716283019655932542976) y x))))
(if (<=.f64 x -7592166422138945/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128) x (if (<=.f64 x 4123224995095689/515912628062173092140956821207535748553561841832149923953086629908861232965551620580485601452790222553392963860602664725471042538576841344971229471155214430574596371092778402508526872730885196340843977449424988675925808879640197010584371971452184059071815020407947264) y (if (<=.f64 x 3820158618505761/784637716923335095479473677900958302012794430558004314112) x (if (<=.f64 x 4204997482693989/1427247692705959881058285969449495136382746624) y x))))
x

end120.0ms (1.2%)

Stop Event

1×

fuel

Compiler

Compiled 879 to 394 computations (55.2% saved)

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	130	601
1	159	593
2	194	593
3	222	593
4	249	593
5	266	593
6	299	593
7	358	593
8	397	593
9	428	593
10	461	593
11	493	593
12	537	593
13	565	593
14	580	593
15	592	593
16	601	593
17	613	593
18	618	593

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	130	601
1	159	593
2	194	593
3	222	593
4	249	593
5	266	593
6	299	593
7	358	593
8	397	593
9	428	593
10	461	593
11	493	593
12	537	593
13	565	593
14	580	593
15	592	593
16	601	593
17	613	593
18	618	593

Iter	Nodes	Cost
0	8	324
1	15	324
2	35	324
3	69	324
4	114	324
5	162	324
6	202	324
7	238	324
8	275	324
9	394	324
10	445	324

Iter	Nodes	Cost
0	130	601
1	159	593
2	194	593
3	222	593
4	249	593
5	266	593
6	299	593
7	358	593
8	397	593
9	428	593
10	461	593
11	493	593
12	537	593
13	565	593
14	580	593
15	592	593
16	601	593
17	613	593
18	618	593