Details

analyze310.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	11
22.3%	22.2%	77.6%	0.2%	0%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.6s (7.8%)

Results

1.5s	8256×	body	256	valid
81.0ms	726×	body	256	infinite

Bogosity

preprocess84.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

764×	`fma-def_binary64`
664×	`div-sub_binary64`
560×	`cancel-sign-sub-inv_binary64`
546×	`sub-neg_binary64`
379×	`distribute-frac-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	82	91
2	142	91
3	350	91
4	904	91
5	2213	91
6	5970	91
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

611×	`times-frac_binary64`
566×	`div-sub_binary64`
535×	`fma-def_binary64`
359×	`associate-/l*_binary64`
336×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	18	13
2	30	13
3	68	13
4	167	13
5	324	13
6	711	13
7	2095	13
8	6635	13

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 22 to 10 computations (54.5% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.1b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
▶	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 t (-.f64 z y))
✓	12.0b	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series32.0ms (0.2%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(/.f64 t (-.f64 z y))
3.0ms	y	@	inf	(/.f64 t (-.f64 z y))
2.0ms	t	@	0	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
2.0ms	x	@	-inf	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))
2.0ms	y	@	0	(*.f64 (-.f64 x y) (/.f64 t (-.f64 z y)))

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`prod-diff_binary64`
564×	`log-prod_binary64`
333×	`fma-def_binary64`
296×	`pow2_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	205	20
2	3127	20

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

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

Outputs

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

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

simplify177.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

823×	`associate-/l*_binary64`
712×	`fma-def_binary64`
433×	`associate-r_binary64`
427×	`associate-l_binary64`
406×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	135	2106
1	447	1948
2	1706	1473

Stop Event

1×	node limit

Counts

164 → 148

Calls

Call 1

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

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 8 computations (73.3% saved)

series10.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

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

rewrite390.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
594×	`log-prod_binary64`
347×	`fma-def_binary64`
225×	`egg-rr`
204×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	208	23
2	3248	23

Stop Event

1×	node limit

Counts

2 → 254

Calls

Call 1

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

Outputs
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Outputs

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simplify120.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/r*_binary64`
334×	`associate-*l/_binary64`
275×	`associate-*r/_binary64`
259×	`associate-+l-_binary64`
254×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2458
1	646	2218
2	2488	1722

Stop Event

1×	node limit

Counts

338 → 330

Calls

Call 1

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

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

eval564.0ms (2.7%)

Compiler: Compiled 16207 to 4860 computations (70% saved)

prune124.0ms (0.6%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	462	16	478
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	463	17	480

Error

Counts

480 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	38.3b	(/.f64 (*.f64 t x) (-.f64 z y))
	37.3b	(/.f64 (*.f64 t (-.f64 x y)) z)
	14.8b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)) t)
	42.5b	(*.f64 (/.f64 x z) t)
	25.4b	(*.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t)
	39.3b	t
▶	1.9b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
	12.1b	(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))
✓	2.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
▶	43.7b	(*.f64 (/.f64 t z) x)
▶	31.9b	(*.f64 (-.f64 1 (/.f64 x y)) t)
	36.4b	(*.f64 (/.f64 t z) (-.f64 x y))
	36.6b	(*.f64 (/.f64 t (-.f64 z y)) x)
▶	38.9b	(*.f64 (/.f64 t y) (neg.f64 (-.f64 x y)))
▶	33.9b	(*.f64 (/.f64 (-.f64 x y) z) t)
	12.2b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
	44.4b	(/.f64 (*.f64 t x) z)

Compiler

Compiled 366 to 240 computations (34.4% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
✓	1.8b	(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series14.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (-.f64 z y) (-.f64 x y))
1.0ms	y	@	0	(/.f64 (-.f64 z y) (-.f64 x y))
1.0ms	x	@	inf	(/.f64 (-.f64 z y) (-.f64 x y))
1.0ms	x	@	0	(/.f64 (-.f64 z y) (-.f64 x y))
1.0ms	z	@	-inf	(/.f64 (-.f64 z y) (-.f64 x y))

rewrite335.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	214	23
2	3501	23

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 z y) (-.f64 x y)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 y (-.f64 x y)))) (sqrt.f64 (/.f64 y (-.f64 x y))) (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 z y) (-.f64 x y)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (-.f64 x y))) (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 z (-.f64 x y)) (neg.f64 (/.f64 y (-.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 z y) (-.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (/.f64 1 (-.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (-.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x y))) y (*.f64 (/.f64 1 (-.f64 x y)) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (/.f64 z (-.f64 x y)) (neg.f64 (*.f64 (/.f64 1 (-.f64 x y)) y))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 x y))) y (*.f64 (/.f64 1 (-.f64 x y)) y)))))) 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simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

621×	`associate-/r*_binary64`
345×	`associate-*l/_binary64`
280×	`associate-*r/_binary64`
259×	`associate-/r/_binary64`
251×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2245
1	677	1974
2	2657	1682

Stop Event

1×	node limit

Counts

358 → 351

Calls

Call 1

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(*.f64 (/.f64 t z) x)

Compiler

Compiled 15 to 6 computations (60% saved)

series9.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	z	@	-inf	(*.f64 (/.f64 t z) x)
1.0ms	t	@	0	(*.f64 (/.f64 t z) x)
1.0ms	x	@	0	(*.f64 (/.f64 t z) x)
1.0ms	t	@	inf	(*.f64 (/.f64 t z) x)
1.0ms	z	@	inf	(*.f64 (/.f64 t z) x)

rewrite53.0ms (0.3%)

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 t z) x)

Outputs

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

simplify17.0ms (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 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)

Outputs
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))

localize50.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x y))
✓	3.1b	(*.f64 (-.f64 1 (/.f64 x y)) t)

Compiler

Compiled 23 to 11 computations (52.2% saved)

series8.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
837×	`add-log-exp_binary64`
837×	`log1p-expm1-u_binary64`
837×	`expm1-log1p-u_binary64`
820×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	167	17
2	2200	17

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

385×	`fma-def_binary64`
180×	`fma-neg_binary64`
57×	`cancel-sign-sub-inv_binary64`
48×	`associate-r_binary64`
46×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	537
1	32	477
2	68	477
3	127	477
4	250	477
5	426	477
6	816	477
7	1093	477
8	1283	477
9	1402	477
10	1416	477
11	1421	477

Stop Event

1×

saturated

Counts

107 → 58

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x y) z)
✓	5.8b	(*.f64 (/.f64 (-.f64 x y) z) t)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

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

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`prod-diff_binary64`
507×	`log-prod_binary64`
330×	`pow-prod-down_binary64`
258×	`pow2_binary64`
196×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	179	17
2	2682	17

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

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1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 x y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (-.f64 x y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 x y))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x z) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) 2) (cbrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x z)) (sqrt.f64 (/.f64 x z)) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 z) -2) (/.f64 x (cbrt.f64 z)) (neg.f64 (/.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 z -1/2) (/.f64 x (sqrt.f64 z)) (neg.f64 (/.f64 y z)))))) (#(struct:change 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simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
476×	`fma-neg_binary64`
149×	`cancel-sign-sub-inv_binary64`
111×	`distribute-rgt-in_binary64`
88×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	1032
1	41	930
2	77	678
3	144	624
4	265	624
5	431	624
6	723	624
7	1167	624
8	1987	624
9	2830	624
10	2907	624
11	2937	624
12	2942	624
13	2942	624

Stop Event

1×

saturated

Counts

282 → 221

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(/.f64 (*.f64 t x) z)
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(/.f64 (*.f64 t x) z)
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(/.f64 (*.f64 t x) z)
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(.f64 -1 (/.f64 (.f64 y t) z))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(+.f64 (/.f64 (.f64 t x) z) (.f64 -1 (/.f64 (*.f64 y t) z)))
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(/.f64 (*.f64 t (-.f64 x y)) z)
(*.f64 -1 (/.f64 y z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(/.f64 x z)
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(+.f64 (*.f64 -1 (/.f64 y z)) (/.f64 x z))
(*.f64 -1 (/.f64 y z))
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Outputs
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localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.7b	(*.f64 (/.f64 t y) (neg.f64 (-.f64 x y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series6.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite61.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`pow1_binary64`
918×	`add-log-exp_binary64`
917×	`log1p-expm1-u_binary64`
917×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	181	10
2	2743	10

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(*.f64 (/.f64 t y) (neg.f64 (-.f64 x y)))

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

801×	`div-sub_binary64`
487×	`fma-neg_binary64`
478×	`associate-/l/_binary64`
447×	`associate-/r/_binary64`
420×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	330
1	25	330
2	58	330
3	122	330
4	247	330
5	503	330
6	885	330
7	2051	330
8	4808	330
9	6291	330
10	6678	330
11	6826	330
12	6860	330

Stop Event

1×	node limit

Counts

72 → 42

Calls

Call 1

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

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

eval308.0ms (1.5%)

Compiler: Compiled 21782 to 6882 computations (68.4% saved)

prune186.0ms (0.9%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	682	14	696
Fresh	8	3	11
Picked	0	1	1
Done	2	3	5
Total	692	21	713

Error

Counts

713 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(.f64 (.f64 (/.f64 1 z) (-.f64 x y)) t)
▶	42.5b	(*.f64 (/.f64 x z) t)
	43.7b	(/.f64 x (/.f64 z t))
▶	25.4b	(/.f64 t (-.f64 1 (/.f64 z y)))
	54.5b	(*.f64 (/.f64 (neg.f64 x) y) t)
	39.3b	t
▶	50.2b	(*.f64 y (/.f64 (neg.f64 t) z))
✓	33.9b	(*.f64 (/.f64 (-.f64 x y) z) t)
▶	12.1b	(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))
✓	43.7b	(*.f64 (/.f64 t z) x)
	48.9b	(*.f64 (/.f64 (neg.f64 y) z) t)
	37.1b	(/.f64 (*.f64 t (-.f64 y x)) y)
	44.4b	(/.f64 (*.f64 t x) z)
✓	31.9b	(*.f64 (-.f64 1 (/.f64 x y)) t)
	33.1b	(-.f64 t (/.f64 (*.f64 t x) y))
	43.6b	(*.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) z) 3)) t)
	37.3b	(/.f64 (*.f64 (-.f64 x y) t) z)
✓	38.9b	(*.f64 (/.f64 t y) (neg.f64 (-.f64 x y)))
	54.6b	(*.f64 x (neg.f64 (/.f64 t y)))
	38.3b	(/.f64 (*.f64 t x) (-.f64 z y))
	12.2b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))

Compiler

Compiled 402 to 271 computations (32.6% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z y) t)
✓	12.1b	(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(/.f64 (-.f64 z y) t)
1.0ms	z	@	-inf	(/.f64 (-.f64 z y) t)
1.0ms	z	@	0	(/.f64 (-.f64 z y) t)
0.0ms	t	@	-inf	(/.f64 (-.f64 z y) t)
0.0ms	y	@	0	(/.f64 (-.f64 z y) t)

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`log-prod_binary64`
359×	`fma-def_binary64`
322×	`pow2_binary64`
228×	`log-div_binary64`
224×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	217	20
2	3646	20

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

914×	`times-frac_binary64`
682×	`associate-/l*_binary64`
538×	`fma-def_binary64`
417×	`associate-r_binary64`
401×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1728
1	374	1498
2	1420	1119

Stop Event

1×	node limit

Counts

194 → 168

Calls

Call 1

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

Outputs
(.f64 -1 (/.f64 (.f64 y t) (-.f64 z y)))
(neg.f64 (/.f64 y (/.f64 (-.f64 z y) t)))
(/.f64 (*.f64 (neg.f64 y) t) (-.f64 z y))
(*.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t)
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (/.f64 (-.f64 z y) x))
(*.f64 (/.f64 t (-.f64 z y)) x)
(*.f64 (/.f64 x (-.f64 z y)) t)
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (/.f64 (-.f64 z y) x))
(*.f64 (/.f64 t (-.f64 z y)) x)
(*.f64 (/.f64 x (-.f64 z y)) t)
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 t x) (-.f64 z y)) (.f64 -1 (/.f64 (*.f64 y t) (-.f64 z y))))
(+.f64 (neg.f64 (/.f64 y (/.f64 (-.f64 z y) t))) (/.f64 t (/.f64 (-.f64 z y) x)))
(-.f64 (.f64 (/.f64 t (-.f64 z y)) x) (.f64 (/.f64 y (-.f64 z y)) t))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(+.f64 (/.f64 (.f64 t x) z) (.f64 (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (*.f64 t x) (pow.f64 z 2)))) y))
(+.f64 (/.f64 t (/.f64 z x)) (.f64 y (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (*.f64 z z) x))))))
(fma.f64 y (fma.f64 -1 (/.f64 t z) (.f64 (/.f64 t z) (/.f64 x z))) (.f64 (/.f64 t z) x))
(fma.f64 y (.f64 (/.f64 t z) (+.f64 -1 (/.f64 x z))) (.f64 (/.f64 t z) x))
(+.f64 (/.f64 (.f64 t x) z) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 z 2)))) y) (/.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (*.f64 t x) (pow.f64 z 2))))) z)))
(+.f64 (/.f64 t (/.f64 z x)) (fma.f64 (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (.f64 z z) x)))) y (/.f64 (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (.f64 z z) x)))) (/.f64 z (*.f64 y y)))))
(+.f64 (fma.f64 y (fma.f64 -1 (/.f64 t z) (.f64 (/.f64 t z) (/.f64 x z))) (.f64 (/.f64 t z) x)) (.f64 (/.f64 y (/.f64 z y)) (fma.f64 -1 (/.f64 t z) (.f64 (/.f64 t z) (/.f64 x z)))))
(fma.f64 (/.f64 t z) x (.f64 (.f64 (/.f64 t z) (+.f64 -1 (/.f64 x z))) (+.f64 y (*.f64 (/.f64 y z) y))))
(+.f64 (/.f64 (.f64 t x) z) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 z 2)))) y) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (.f64 t x) (pow.f64 z 2)))) (pow.f64 y 3)) (pow.f64 z 2)) (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 t z)) (.f64 -1 (/.f64 (*.f64 t x) (pow.f64 z 2)))) (pow.f64 y 2)) z))))
(+.f64 (/.f64 t (/.f64 z x)) (fma.f64 (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (.f64 z z) x)))) y (+.f64 (/.f64 (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (.f64 z z) x)))) (/.f64 z (.f64 y y))) (/.f64 (.f64 -1 (-.f64 (/.f64 t z) (/.f64 t (/.f64 (.f64 z z) x)))) (/.f64 (.f64 z z) (pow.f64 y 3))))))
(+.f64 (fma.f64 y (fma.f64 -1 (/.f64 t z) (.f64 (/.f64 t z) (/.f64 x z))) (.f64 (/.f64 t z) x)) (+.f64 (.f64 (/.f64 y (/.f64 z y)) (fma.f64 -1 (/.f64 t z) (.f64 (/.f64 t z) (/.f64 x z)))) (/.f64 (fma.f64 -1 (/.f64 t z) (*.f64 (/.f64 t z) (/.f64 x z))) (/.f64 z (/.f64 (pow.f64 y 3) z)))))
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t
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localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.0b	(*.f64 (/.f64 x z) t)

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite75.0ms (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 x z) t)

Outputs

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

simplify54.0ms (0.3%)

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 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)

Outputs
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(*.f64 y (/.f64 (neg.f64 t) z))

Compiler

Compiled 19 to 7 computations (63.2% saved)

series44.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	y	@	0	(*.f64 y (/.f64 (neg.f64 t) z))
1.0ms	z	@	inf	(*.f64 y (/.f64 (neg.f64 t) z))
1.0ms	z	@	0	(*.f64 y (/.f64 (neg.f64 t) z))
1.0ms	t	@	0	(*.f64 y (/.f64 (neg.f64 t) z))
1.0ms	y	@	inf	(*.f64 y (/.f64 (neg.f64 t) z))

rewrite144.0ms (0.7%)

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	2150	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

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

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

localize193.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.5b	(/.f64 t (-.f64 1 (/.f64 z y)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 t (-.f64 1 (/.f64 z y)))
2.0ms	t	@	0	(/.f64 t (-.f64 1 (/.f64 z y)))
2.0ms	t	@	inf	(/.f64 t (-.f64 1 (/.f64 z y)))
1.0ms	t	@	-inf	(/.f64 t (-.f64 1 (/.f64 z y)))
1.0ms	z	@	0	(/.f64 t (-.f64 1 (/.f64 z y)))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary64`
361×	`prod-diff_binary64`
350×	`exp-prod_binary64`
279×	`prod-exp_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	173	10
2	2407	10

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

855×	`distribute-rgt-neg-in_binary64`
498×	`associate-/r/_binary64`
456×	`associate-/l/_binary64`
359×	`distribute-neg-frac_binary64`
357×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	624
1	135	606
2	473	495
3	2384	426
4	5672	426

Stop Event

1×	node limit

Counts

78 → 69

Calls

Call 1

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

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

localize166.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 z) (-.f64 x y))
✓	5.8b	(.f64 (.f64 (/.f64 1 z) (-.f64 x y)) t)

Compiler

Compiled 31 to 15 computations (51.6% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
384×	`pow-prod-down_binary64`
368×	`prod-diff_binary64`
275×	`pow2_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	210	17
2	2817	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary64`
476×	`fma-neg_binary64`
149×	`cancel-sign-sub-inv_binary64`
111×	`distribute-rgt-in_binary64`
89×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	708
1	43	708
2	78	708
3	144	708
4	265	708
5	431	708
6	723	708
7	1168	708
8	1979	708
9	2828	708
10	2905	708
11	2935	708
12	2940	708
13	2940	708

Stop Event

1×

saturated

Counts

156 → 83

Calls

Call 1

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

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

eval193.0ms (0.9%)

Compiler: Compiled 5276 to 1882 computations (64.3% saved)

prune195.0ms (0.9%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	362	6	368
Fresh	4	8	12
Picked	0	1	1
Done	0	8	8
Total	366	23	389

Error

Counts

389 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(.f64 (.f64 (/.f64 1 z) (-.f64 x y)) t)
✓	42.5b	(*.f64 (/.f64 x z) t)
▶	43.7b	(/.f64 x (/.f64 z t))
	30.7b	(*.f64 (/.f64 t (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))
✓	25.4b	(/.f64 t (-.f64 1 (/.f64 z y)))
▶	50.4b	(/.f64 (*.f64 y t) (neg.f64 z))
✓	38.9b	(*.f64 (/.f64 t y) (neg.f64 (-.f64 x y)))
✓	50.2b	(*.f64 y (/.f64 (neg.f64 t) z))
✓	33.9b	(*.f64 (/.f64 (-.f64 x y) z) t)
	57.6b	(/.f64 y (/.f64 z t))
	38.3b	(/.f64 (*.f64 t x) (-.f64 z y))
✓	12.1b	(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))
✓	43.7b	(*.f64 (/.f64 t z) x)
	48.9b	(*.f64 (/.f64 (neg.f64 y) z) t)
▶	37.1b	(/.f64 (*.f64 t (-.f64 y x)) y)
✓	31.9b	(*.f64 (-.f64 1 (/.f64 x y)) t)
	33.1b	(-.f64 t (/.f64 (*.f64 t x) y))
	37.3b	(/.f64 (*.f64 (-.f64 x y) t) z)
	44.4b	(/.f64 (*.f64 x t) z)
	54.5b	(*.f64 (/.f64 (neg.f64 x) y) t)
	39.3b	t
▶	54.6b	(*.f64 x (neg.f64 (/.f64 t y)))
▶	12.2b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))

Compiler

Compiled 394 to 265 computations (32.7% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 z y))
✓	0.2b	(*.f64 (/.f64 1 (-.f64 z y)) t)
✓	12.0b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series14.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(/.f64 1 (-.f64 z y))
1.0ms	z	@	0	(/.f64 1 (-.f64 z y))
1.0ms	z	@	inf	(/.f64 1 (-.f64 z y))
0.0ms	y	@	0	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
0.0ms	y	@	0	(/.f64 1 (-.f64 z y))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

727×	`prod-diff_binary64`
612×	`log-prod_binary64`
338×	`fma-def_binary64`
321×	`pow2_binary64`
225×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	239	27
2	3366	27

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

861×	`associate-/l*_binary64`
797×	`fma-def_binary64`
442×	`associate-/r*_binary64`
434×	`associate-r_binary64`
430×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2691
1	508	2518
2	1904	1983

Stop Event

1×	node limit

Counts

203 → 164

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 x (/.f64 z t))

Compiler

Compiled 15 to 6 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

780×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
707×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1915	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 x (/.f64 z t))

Outputs

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

simplify16.0ms (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

77 → 42

Calls

Call 1

Inputs
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 t x) z)

Outputs
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))
(/.f64 (*.f64 t x) z)
(/.f64 t (/.f64 z x))
(*.f64 (/.f64 t z) x)
(*.f64 x (/.f64 t z))
(*.f64 t (/.f64 x z))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(*.f64 x (neg.f64 (/.f64 t y)))

Compiler

Compiled 20 to 7 computations (65% saved)

series15.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	x	@	-inf	(*.f64 x (neg.f64 (/.f64 t y)))
1.0ms	x	@	0	(*.f64 x (neg.f64 (/.f64 t y)))
1.0ms	y	@	0	(*.f64 x (neg.f64 (/.f64 t y)))
1.0ms	t	@	0	(*.f64 x (neg.f64 (/.f64 t y)))
1.0ms	y	@	inf	(*.f64 x (neg.f64 (/.f64 t y)))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary64`
638×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	149	7
2	2033	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 x (neg.f64 (/.f64 t y)))

Outputs

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

simplify30.0ms (0.1%)

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

56 → 22

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 t (/.f64 y x)))
(/.f64 (neg.f64 (*.f64 t x)) y)
(*.f64 (neg.f64 (/.f64 t y)) x)
(*.f64 x (/.f64 (neg.f64 t) y))
(*.f64 t (neg.f64 (/.f64 x y)))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 7 computations (61.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

731×	`pow1_binary64`
677×	`add-log-exp_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
662×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	148	7
2	2173	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify32.0ms (0.2%)

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

82 → 48

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 t (-.f64 y x))
✓	11.4b	(/.f64 (*.f64 t (-.f64 y x)) y)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

18 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary64`
918×	`add-log-exp_binary64`
918×	`log1p-expm1-u_binary64`
918×	`expm1-log1p-u_binary64`
85×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	157	17
2	2384	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify275.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

954×	`fma-def_binary64`
871×	`fma-neg_binary64`
462×	`times-frac_binary64`
413×	`div-sub_binary64`
355×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	474
1	26	420
2	58	366
3	120	366
4	201	366
5	407	366
6	708	366
7	1078	366
8	1967	366
9	3668	366
10	4155	366
11	4501	366
12	4578	366
13	4644	366
14	4700	366
15	4869	366
16	4925	366
17	4945	366
18	4945	366
19	5033	366
20	5309	366
21	5661	366
22	5745	366
23	5749	366
24	5753	366
25	5773	366

Stop Event

1×

saturated

Counts

110 → 73

Calls

Call 1

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

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

eval86.0ms (0.4%)

Compiler: Compiled 4785 to 1792 computations (62.5% saved)

prune364.0ms (1.8%)

Pruning

28 alts after pruning (15 fresh and 13 done)

	Pruned	Kept	Total
New	342	7	349
Fresh	1	8	9
Picked	0	1	1
Done	1	12	13
Total	344	28	372

Error

Counts

372 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(.f64 (.f64 (/.f64 1 z) (-.f64 x y)) t)
✓	42.5b	(*.f64 (/.f64 x z) t)
✓	43.7b	(/.f64 x (/.f64 z t))
	30.7b	(*.f64 (/.f64 t (-.f64 1 (pow.f64 (/.f64 z y) 2))) (+.f64 1 (/.f64 z y)))
✓	25.4b	(/.f64 t (-.f64 1 (/.f64 z y)))
	54.5b	(*.f64 (/.f64 (neg.f64 x) y) t)
	59.9b	(/.f64 (*.f64 x t) y)
✓	50.4b	(/.f64 (*.f64 y t) (neg.f64 z))
	38.9b	(*.f64 (/.f64 t y) (-.f64 y x))
✓	50.2b	(*.f64 y (/.f64 (neg.f64 t) z))
✓	33.9b	(*.f64 (/.f64 (-.f64 x y) z) t)
	42.5b	(/.f64 (*.f64 y t) y)
✓	54.6b	(*.f64 x (neg.f64 (/.f64 t y)))
	57.6b	(/.f64 y (/.f64 z t))
	50.2b	(neg.f64 (/.f64 y (/.f64 z t)))
	38.3b	(/.f64 (*.f64 t x) (-.f64 z y))
	39.3b	t
✓	12.2b	(.f64 (-.f64 x y) (.f64 (/.f64 1 (-.f64 z y)) t))
✓	12.1b	(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))
✓	43.7b	(*.f64 (/.f64 t z) x)
	48.9b	(*.f64 (/.f64 (neg.f64 y) z) t)
✓	37.1b	(/.f64 (*.f64 t (-.f64 y x)) y)
✓	31.9b	(*.f64 (-.f64 1 (/.f64 x y)) t)
	33.1b	(-.f64 t (/.f64 (*.f64 t x) y))
	37.3b	(/.f64 (*.f64 (-.f64 x y) t) z)
	44.4b	(/.f64 (*.f64 x t) z)
	53.6b	(/.f64 (*.f64 (neg.f64 t) x) y)
	61.5b	(/.f64 x (/.f64 y t))

Compiler

Compiled 295 to 199 computations (32.5% saved)

regimes437.0ms (2.1%)

Counts

45 → 2

Calls

Call 1

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

Outputs
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t))

Calls

7 calls:

117.0ms	y
74.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
68.0ms	(/.f64 (-.f64 x y) (-.f64 z y))
51.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)
46.0ms	t

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`
0.9b	2	`(*.f64 (/.f64 (-.f64 x y) (-.f64 z y)) t)`
0.7b	2	`(/.f64 (-.f64 x y) (-.f64 z y))`
0.7b	2	`(/.f64 (-.f64 x y) (-.f64 z y))`

Compiler

Compiled 355 to 136 computations (61.7% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.5919497428755455e+196	1.592710709998346e+203

Compiler

Compiled 20 to 14 computations (30% saved)

regimes206.0ms (1%)

Counts

38 → 1

Calls

Call 1

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

Outputs
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))

Calls

4 calls:

73.0ms	x
69.0ms	z
32.0ms	t
23.0ms	y

Results

Error	Segments	Branch
1.9b	1	`x`
1.9b	1	`y`
1.9b	1	`z`
1.9b	1	`t`

Compiler

Compiled 245 to 89 computations (63.7% saved)

regimes1.2s (5.8%)

Counts

37 → 8

Calls

Call 1

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

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

Calls

4 calls:

455.0ms	t
339.0ms	y
294.0ms	x
95.0ms	z

Results

Error	Segments	Branch
13.3b	6	`x`
10.9b	8	`y`
13.2b	4	`z`
17.7b	12	`t`

Compiler

Compiled 236 to 87 computations (63.1% saved)

bsearch253.0ms (1.2%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
35.0ms	2.2074554634308328e+182	1.5185278647698725e+186
36.0ms	2.0592641300444866e+29	3.7754353555659326e+37
36.0ms	-8.736991470857088e-42	-1.4973334393939e-50
35.0ms	-28820054475941090.0	-56746739014275.836
35.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
35.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
40.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 20 to 14 computations (30% saved)

regimes691.0ms (3.4%)

Counts

34 → 8

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t (-.f64 z y)) x)
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t z) (-.f64 x y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

322.0ms	t
147.0ms	y
121.0ms	x
86.0ms	z

Results

Error	Segments	Branch
13.3b	6	`x`
10.9b	8	`y`
13.2b	4	`z`
17.7b	12	`t`

Compiler

Compiled 211 to 79 computations (62.6% saved)

bsearch329.0ms (1.6%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
37.0ms	2.2074554634308328e+182	1.5185278647698725e+186
39.0ms	2.0592641300444866e+29	3.7754353555659326e+37
78.0ms	-8.736991470857088e-42	-1.4973334393939e-50
37.0ms	-28820054475941090.0	-56746739014275.836
35.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
69.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
35.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.2s (5.6%)

Counts

32 → 8

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t z) (-.f64 x y))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

476.0ms	t
344.0ms	z
259.0ms	y
60.0ms	x

Results

Error	Segments	Branch
15.6b	4	`x`
10.9b	8	`y`
14.3b	7	`z`
17.7b	12	`t`

Compiler

Compiled 197 to 75 computations (61.9% saved)

bsearch203.0ms (1%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
51.0ms	2.2074554634308328e+182	1.5185278647698725e+186
43.0ms	2.0592641300444866e+29	3.7754353555659326e+37
22.0ms	-8.736991470857088e-42	-1.4973334393939e-50
20.0ms	-4.004287262295165e+23	-1.0613095718924108e+20
22.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
21.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
22.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 20 to 14 computations (30% saved)

regimes739.0ms (3.6%)

Counts

31 → 8

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 (-.f64 x y) t) z)
(*.f64 (-.f64 1 (/.f64 x y)) t)
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

296.0ms	t
206.0ms	y
142.0ms	z
83.0ms	x

Results

Error	Segments	Branch
15.5b	6	`x`
12.1b	8	`y`
15.1b	7	`z`
17.7b	12	`t`

Compiler

Compiled 190 to 74 computations (61.1% saved)

bsearch140.0ms (0.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
21.0ms	2.2074554634308328e+182	1.5185278647698725e+186
20.0ms	2.0592641300444866e+29	3.7754353555659326e+37
20.0ms	-8.736991470857088e-42	-1.4973334393939e-50
20.0ms	-4.004287262295165e+23	-1.0613095718924108e+20
19.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
19.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
20.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 20 to 14 computations (30% saved)

regimes641.0ms (3.1%)

Counts

30 → 8

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t y) (-.f64 y x))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 (-.f64 x y) t) z)
(-.f64 t (/.f64 (*.f64 t x) y))
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

272.0ms	t
173.0ms	y
107.0ms	z
83.0ms	x

Results

Error	Segments	Branch
15.5b	6	`x`
12.4b	8	`y`
15.5b	7	`z`
17.8b	12	`t`

Compiler

Compiled 183 to 70 computations (61.7% saved)

bsearch139.0ms (0.7%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
21.0ms	2.2074554634308328e+182	1.5185278647698725e+186
20.0ms	2.0592641300444866e+29	3.7754353555659326e+37
19.0ms	-8.736991470857088e-42	-1.4973334393939e-50
20.0ms	-4.004287262295165e+23	-1.0613095718924108e+20
19.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
20.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
20.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 20 to 14 computations (30% saved)

regimes652.0ms (3.2%)

Counts

26 → 12

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t y) (-.f64 y x))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 x t) z)
(-.f64 t (/.f64 (*.f64 t x) y))
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

281.0ms	y
142.0ms	x
126.0ms	t
94.0ms	z

Results

Error	Segments	Branch
15.5b	6	`x`
12.4b	12	`y`
17.6b	4	`z`
18.8b	9	`t`

Compiler

Compiled 155 to 65 computations (58.1% saved)

bsearch635.0ms (3.1%)

Algorithm

11×	binary-search

Steps

Time	Left	Right
40.0ms	2.2074554634308328e+182	1.5185278647698725e+186
96.0ms	2.0592641300444866e+29	3.7754353555659326e+37
40.0ms	41522124.350205414	2.0592641300444866e+29
73.0ms	1.8727658710291317e-72	2.8417080180496673e-70
102.0ms	6.9198264400492675e-118	2.2056583362655316e-117
86.0ms	2.1344871980925557e-284	4.43461165827596e-276
42.0ms	-8.736991470857088e-42	-1.4973334393939e-50
40.0ms	-4.004287262295165e+23	-1.0613095718924108e+20
39.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
39.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
38.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 64 to 44 computations (31.3% saved)

regimes593.0ms (2.9%)

Counts

25 → 9

Calls

Call 1

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

Outputs
(/.f64 t (-.f64 1 (/.f64 z y)))
(*.f64 (/.f64 t y) (-.f64 y x))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))
(/.f64 (*.f64 t x) (-.f64 z y))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) (-.f64 z y))
(/.f64 t (-.f64 1 (/.f64 z y)))

Calls

4 calls:

267.0ms	t
150.0ms	y
70.0ms	x
57.0ms	z

Results

Error	Segments	Branch
15.5b	6	`x`
13.7b	9	`y`
20.0b	4	`z`
18.8b	9	`t`

Compiler

Compiled 148 to 63 computations (57.4% saved)

bsearch182.0ms (0.9%)

Algorithm

8×	binary-search

Steps

Time	Left	Right
19.0ms	1.8727658710291317e-72	2.8417080180496673e-70
19.0ms	6.9198264400492675e-118	2.2056583362655316e-117
15.0ms	2.1344871980925557e-284	4.43461165827596e-276
50.0ms	-8.736991470857088e-42	-1.4973334393939e-50
19.0ms	-4.004287262295165e+23	-1.0613095718924108e+20
21.0ms	-1.2175832040871328e+52	-1.976115100776652e+46
20.0ms	-2.2499008283210632e+69	-5.396995170201355e+67
19.0ms	-1.1853730568411693e+151	-2.4526304755654313e+145

Compiler

Compiled 64 to 44 computations (31.3% saved)

regimes678.0ms (3.3%)

Counts

23 → 6

Calls

Call 1

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

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

Calls

4 calls:

206.0ms	z
186.0ms	y
173.0ms	t
105.0ms	x

Results

Error	Segments	Branch
25.6b	5	`x`
19.7b	6	`y`
23.4b	7	`z`
25.2b	8	`t`

Compiler

Compiled 134 to 57 computations (57.5% saved)

bsearch169.0ms (0.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
33.0ms	2.257391513162288e+176	2.2074554634308328e+182
44.0ms	2.0592641300444866e+29	3.7754353555659326e+37
26.0ms	2.1344871980925557e-284	4.43461165827596e-276
33.0ms	-6.710197819819423e-15	-6.975658677924409e-16
33.0ms	-2.486254514671021e+198	-2.5044367049834847e+191

Compiler

Compiled 42 to 29 computations (31% saved)

regimes603.0ms (2.9%)

Counts

22 → 5

Calls

Call 1

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

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

Calls

4 calls:

230.0ms	t
140.0ms	x
117.0ms	z
107.0ms	y

Results

Error	Segments	Branch
27.4b	7	`x`
21.0b	5	`y`
24.6b	5	`z`
28.7b	9	`t`

Compiler

Compiled 127 to 55 computations (56.7% saved)

bsearch97.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	2.257391513162288e+176	2.2074554634308328e+182
20.0ms	2.0592641300444866e+29	3.7754353555659326e+37
23.0ms	-6.710197819819423e-15	-6.975658677924409e-16
33.0ms	-2.486254514671021e+198	-2.5044367049834847e+191

Compiler

Compiled 20 to 14 computations (30% saved)

regimes341.0ms (1.7%)

Counts

21 → 3

Calls

Call 1

Inputs
t
t
t
t
(/.f64 (*.f64 x t) y)
(/.f64 (*.f64 y t) y)
(/.f64 x (/.f64 y t))
(/.f64 y (/.f64 z t))
(/.f64 (*.f64 x t) z)
(/.f64 x (/.f64 z t))
(/.f64 (*.f64 t x) z)
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 t z) x)
(/.f64 (*.f64 t x) z)
(neg.f64 (/.f64 y (/.f64 z t)))
(/.f64 (*.f64 (neg.f64 t) x) y)
(/.f64 (*.f64 y t) (neg.f64 z))
(*.f64 (/.f64 (neg.f64 x) y) t)
(*.f64 y (/.f64 (neg.f64 t) z))
(*.f64 (/.f64 (neg.f64 y) z) t)
(*.f64 x (neg.f64 (/.f64 t y)))

Outputs
t
(*.f64 (/.f64 x z) t)
t

Calls

4 calls:

140.0ms	t
97.0ms	x
67.0ms	z
33.0ms	y

Results

Error	Segments	Branch
28.7b	7	`x`
24.9b	3	`y`
26.8b	4	`z`
31.0b	11	`t`

Compiler

Compiled 120 to 53 computations (55.8% saved)

bsearch53.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	2.0592641300444866e+29	3.7754353555659326e+37
19.0ms	-1.976115100776652e+46	-1.2974475773300495e+35

Compiler

Compiled 20 to 14 computations (30% saved)

regimes281.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs
t
(/.f64 x (/.f64 z t))
t

Calls

4 calls:

137.0ms	t
62.0ms	x
40.0ms	y
38.0ms	z

Results

Error	Segments	Branch
32.4b	3	`x`
25.6b	3	`y`
29.9b	3	`z`
33.7b	5	`t`

Compiler

Compiled 63 to 32 computations (49.2% saved)

bsearch103.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	2.0592641300444866e+29	3.7754353555659326e+37
63.0ms	-1.976115100776652e+46	-1.2974475773300495e+35

Compiler

Compiled 20 to 14 computations (30% saved)

regimes142.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

Outputs
t
(/.f64 (*.f64 x t) z)
t

Calls

4 calls:

49.0ms	t
31.0ms	z
30.0ms	x
28.0ms	y

Results

Error	Segments	Branch
33.0b	3	`x`
26.3b	3	`y`
30.6b	3	`z`
33.7b	5	`t`

Compiler

Compiled 53 to 29 computations (45.3% saved)

bsearch67.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.0592641300444866e+29	3.7754353555659326e+37
31.0ms	-6.710197819819423e-15	-6.975658677924409e-16

Compiler

Compiled 20 to 14 computations (30% saved)

regimes78.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	t
26.0ms	y
10.0ms	z
9.0ms	x

Results

Error	Segments	Branch
39.3b	1	`x`
36.7b	3	`y`
39.3b	1	`z`
36.7b	3	`t`

Compiler

Compiled 48 to 28 computations (41.7% saved)

bsearch63.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	4.87650530160613e-113	7.497297255686765e-88
32.0ms	-2.744971928024563e-72	-2.487050333854828e-72

Compiler

Compiled 20 to 14 computations (30% saved)

regimes47.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

21.0ms	y
9.0ms	z
8.0ms	x
7.0ms	t

Results

Error	Segments	Branch
39.3b	1	`x`
38.0b	3	`y`
39.3b	1	`z`
39.3b	1	`t`

Compiler

Compiled 33 to 22 computations (33.3% saved)

bsearch412.0ms (2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
127.0ms	1.0934316327484401e-243	4.179175387140845e-239
285.0ms	-4.6583492795297115e-126	-1.5727107638267016e-136

Compiler

Compiled 308 to 230 computations (25.3% saved)

regimes19.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
t
t
t
t

Outputs
t

Calls

4 calls:

5.0ms	y
4.0ms	t
4.0ms	z
4.0ms	x

Results

Error	Segments	Branch
39.3b	1	`x`
39.3b	1	`y`
39.3b	1	`z`
39.3b	1	`t`

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

20×	`*-commutative_binary64`
16×	`+-commutative_binary64`
16×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	1211
1	179	1211
2	206	1211
3	232	1211
4	245	1211
5	250	1211
6	251	1211

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920) (/.f64 t (/.f64 (-.f64 z y) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t)))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -28820054475941088) (.f64 (/.f64 t (-.f64 z y)) x) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 t z) (-.f64 x y)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -28820054475941088) (.f64 (/.f64 t (-.f64 z y)) x) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 t z) (-.f64 x y)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -400428726229516473597952) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 t z) (-.f64 x y)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -400428726229516473597952) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (/.f64 (.f64 (-.f64 x y) t) z) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (/.f64 t y) (-.f64 y x)) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -400428726229516473597952) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (/.f64 (.f64 (-.f64 x y) t) z) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (-.f64 t (/.f64 (.f64 t x) y)) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (/.f64 t y) (-.f64 y x)) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -400428726229516473597952) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 (/.f64 x z) t) (if (<=.f64 y 7450959872144007/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y 5573005192018047/134217728) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (/.f64 (.f64 x t) z) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (-.f64 t (/.f64 (*.f64 t x) y)) (/.f64 t (-.f64 1 (/.f64 z y))))))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (/.f64 t y) (-.f64 y x)) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -400428726229516473597952) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y 5678427533559429/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 (/.f64 x z) t) (if (<=.f64 y 7450959872144007/3978585891278293137243057985174566720803649206378781739523711815145275976100267004264448) (/.f64 (*.f64 t x) (-.f64 z y)) (/.f64 t (-.f64 1 (/.f64 z y)))))))))))
(if (<=.f64 y -2486254514671021186747682716689204750405329338290981245342912372613453012645364494194976573226959988242053573670608902982793469725784572051223434942514280243235623063617356715938478149103320983142400) t (if (<=.f64 y -1063273286743031/158456325028528675187087900672) (.f64 (/.f64 t y) (-.f64 y x)) (if (<=.f64 y 2043740476963553/20437404769635530871361256581497226916530700906859085224986083762557049772738192033637969566644589579154866655684531151298277765001150399085969119214436673744076858091019117327539586267590276988750370373064129781691707499060437712782221877948907972172872918086407741866417750991158722661661540352) (/.f64 (.f64 t x) (-.f64 z y)) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 x z) t) (if (<=.f64 y 225739151316228812227714164898223298962327779709280384647507813821766906380885018849929055156305473003193177809152912357599905661759266295087644581665993594737308441586559877120) (.f64 (/.f64 t y) (-.f64 y x)) t)))))
(if (<=.f64 y -2486254514671021186747682716689204750405329338290981245342912372613453012645364494194976573226959988242053573670608902982793469725784572051223434942514280243235623063617356715938478149103320983142400) t (if (<=.f64 y -1063273286743031/158456325028528675187087900672) (.f64 (/.f64 t y) (-.f64 y x)) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 x z) t) (if (<=.f64 y 225739151316228812227714164898223298962327779709280384647507813821766906380885018849929055156305473003193177809152912357599905661759266295087644581665993594737308441586559877120) (*.f64 (/.f64 t y) (-.f64 y x)) t))))
(if (<=.f64 y -19761151007766519166974971623895559829303853056) t (if (<=.f64 y 205926413004448663034384089088) (*.f64 (/.f64 x z) t) t))
(if (<=.f64 y -19761151007766519166974971623895559829303853056) t (if (<=.f64 y 205926413004448663034384089088) (/.f64 x (/.f64 z t)) t))
(if (<=.f64 y -1063273286743031/158456325028528675187087900672) t (if (<=.f64 y 205926413004448663034384089088) (/.f64 (*.f64 x t) z) t))
(if (<=.f64 t -2730276646198375/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) t (if (<=.f64 t 4225293269682125/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432) (/.f64 (*.f64 y t) y) t))
(if (<=.f64 y -8379879956214123/52374249726338269920211035149241586435466272736689036631732661889538140742474792878132321477214466514414186946040961136147476104734166288853256441430016) t (if (<=.f64 y 4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (/.f64 (*.f64 x t) y) t))
t

Outputs
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 49999999999999997557164623196175660266945802305931083497332919452867558618749795916391939445861701140479377243835691283534741266252762465463178679631382269968851832691867125003886182691145431121920) (/.f64 t (/.f64 (-.f64 z y) (-.f64 x y))) (/.f64 (-.f64 x y) (/.f64 (-.f64 z y) t)))
(/.f64 t (/.f64 (-.f64 z y) (-.f64 x y)))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -28820054475941088) (.f64 (/.f64 t (-.f64 z y)) x) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (.f64 (/.f64 (neg.f64 y) (-.f64 z y)) t) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 t z) (-.f64 x y)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (.f64 t (/.f64 (neg.f64 y) (-.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 t (-.f64 1 (/.f64 x y))) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -28820054475941088) (.f64 x (/.f64 t (-.f64 z y))) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (.f64 t (/.f64 (neg.f64 y) (-.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (.f64 (-.f64 x y) (/.f64 t z)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 t (-.f64 1 (/.f64 x y))) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
(if (<=.f64 y -11853730568411692705918787517958559362736862354638156469953398556571355658031615840770714061524299993385924834844623109014503965182638885900893814784000) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -2249900828321063204767026188615098398219316268273483804091017240510464) (.f64 (-.f64 1 (/.f64 x y)) t) (if (<=.f64 y -12175832040871328231961319109095207620862172054159360) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y -28820054475941088) (.f64 (/.f64 t (-.f64 z y)) x) (if (<=.f64 y -6855373040471957/784637716923335095479473677900958302012794430558004314112) (/.f64 t (-.f64 1 (/.f64 z y))) (if (<=.f64 y 205926413004448663034384089088) (.f64 (/.f64 t z) (-.f64 x y)) (if (<=.f64 y 220745546343083284093603759598084119157737821024037327630730393384155070903698220393941072877655482151318859415336579192548419746727198253363010453963710635815286360498454917894111232) (.f64 (-.f64 1 (/.f64 x y)) t) (/.f64 t (-.f64 1 (/.f64 z y))))))))))
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t

Compiler

Compiled 905 to 497 computations (45.1% saved)

soundness83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

642×	`associate-/r*_binary64`
334×	`associate-*l/_binary64`
275×	`associate-*r/_binary64`
259×	`associate-+l-_binary64`
254×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2458
1	646	2218
2	2488	1722

Stop Event

1×	node limit

Compiler

Compiled 130 to 70 computations (46.2% saved)

end631.0ms (3.1%)

Compiler: Compiled 841 to 363 computations (56.8% 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	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	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	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	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	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	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	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	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