Details

analyze883.0ms (7.7%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.5s (12.9%)

Results

1.1s	8256×	body	256	valid
364.0ms	2719×	body	256	invalid

preprocess73.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

811×	`div-sub_binary64`
499×	`sub-neg_binary64`
355×	`fma-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
293×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	143
1	112	143
2	283	143
3	926	133
4	3020	121
5	6107	121
0	5	5

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
3
4

Call 2

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

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

783×	`fma-neg_binary64`
717×	`fma-def_binary64`
245×	`cancel-sign-sub-inv_binary64`
181×	`distribute-rgt-in_binary64`
139×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	17	13
2	39	13
3	107	13
4	327	11
5	879	11
6	1902	11
7	3302	11
8	3989	11
9	4045	11
10	4075	11
11	4080	11
12	4080	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 22 to 12 computations (45.5% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.6b	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
▶	6.4b	(fma.f64 y (/.f64 (-.f64 t z) a) x)

Compiler

Compiled 27 to 17 computations (37% saved)

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 z t))
✓	6.8b	(/.f64 (*.f64 y (-.f64 z t)) a)

Compiler

Compiled 34 to 9 computations (73.5% saved)

series13.0ms (0.1%)

Counts

2 → 60

Calls

21 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
386×	`prod-diff_binary64`
381×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2595	17

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

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

Outputs

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

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-def_binary64`
618×	`fma-neg_binary64`
185×	`cancel-sign-sub-inv_binary64`
114×	`distribute-rgt-in_binary64`
94×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	612
1	36	576
2	69	468
3	134	468
4	243	468
5	443	468
6	782	468
7	1264	468
8	2145	468
9	3250	468
10	3329	468
11	3359	468
12	3364	468
13	3364	468

Stop Event

1×

saturated

Counts

149 → 102

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 t z) a)
✓	6.1b	(fma.f64 y (/.f64 (-.f64 t z) a) x)

Compiler

Compiled 26 to 8 computations (69.2% saved)

series16.0ms (0.1%)

Counts

2 → 84

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
2.0ms	a	@	0	(/.f64 (-.f64 t z) a)
1.0ms	t	@	-inf	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	t	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)
1.0ms	z	@	0	(fma.f64 y (/.f64 (-.f64 t z) a) x)

rewrite102.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

610×	`prod-diff_binary64`
525×	`log-prod_binary64`
329×	`pow-prod-down_binary64`
284×	`pow2_binary64`
214×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	197	18
2	2841	18

Stop Event

1×	node limit

Counts

2 → 205

Calls

Call 1

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

Outputs
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Outputs

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

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-neg_binary64`
569×	`fma-def_binary64`
253×	`cancel-sign-sub-inv_binary64`
135×	`distribute-rgt-in_binary64`
90×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	950
1	60	949
2	113	800
3	212	746
4	393	746
5	622	746
6	1076	746
7	1700	746
8	2651	746
9	3372	746
10	3467	746
11	3481	746
12	3486	746
13	3490	746

Stop Event

1×

saturated

Counts

289 → 227

Calls

Call 1

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

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

eval95.0ms (0.8%)

Compiler: Compiled 8292 to 2660 computations (67.9% saved)

prune66.0ms (0.6%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	314	15	329
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	316	15	331

Error

0.0b

Counts

331 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(*.f64 z (/.f64 (neg.f64 y) a))
	29.8b	x
	5.7b	(-.f64 x (pow.f64 (/.f64 a (*.f64 y (-.f64 z t))) -1))
▶	6.6b	(-.f64 x (*.f64 y (/.f64 1 (/.f64 a (-.f64 z t)))))
	17.5b	(-.f64 x (*.f64 y (/.f64 (neg.f64 t) a)))
▶	48.9b	(*.f64 t (/.f64 y a))
▶	2.0b	(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
	49.6b	(/.f64 (*.f64 y t) a)
	18.1b	(-.f64 x (/.f64 (*.f64 y z) a))
▶	37.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
	6.1b	(-.f64 x (.f64 (pow.f64 (cbrt.f64 a) -2) (/.f64 (.f64 y (-.f64 z t)) (cbrt.f64 a))))
	6.4b	(-.f64 x (*.f64 y (/.f64 (-.f64 z t) a)))
	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
	5.6b	(-.f64 x (.f64 (/.f64 1 a) (.f64 y (-.f64 z t))))
▶	37.9b	(*.f64 (/.f64 (-.f64 t z) a) y)

Compiler

Compiled 382 to 259 computations (32.2% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(*.f64 (/.f64 y a) (-.f64 z t))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series6.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite67.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
377×	`prod-diff_binary64`
361×	`exp-prod_binary64`
355×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	176	10
2	2577	10

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

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

Outputs

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

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
579×	`fma-neg_binary64`
155×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
95×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	468
1	34	468
2	68	468
3	130	468
4	246	468
5	431	468
6	724	468
7	1187	468
8	2028	468
9	3051	468
10	3130	468
11	3160	468
12	3165	468
13	3165	468

Stop Event

1×

saturated

Counts

103 → 62

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(*.f64 t (/.f64 y a))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series9.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(*.f64 t (/.f64 y a))
1.0ms	t	@	0	(*.f64 t (/.f64 y a))
1.0ms	a	@	0	(*.f64 t (/.f64 y a))
1.0ms	t	@	inf	(*.f64 t (/.f64 y a))
1.0ms	a	@	inf	(*.f64 t (/.f64 y a))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

681×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1672	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

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

58 → 24

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 t z) a)
✓	7.6b	(*.f64 (/.f64 (-.f64 t z) a) y)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite60.0ms (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	10
1	179	10
2	2682	10

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

872×	`fma-def_binary64`
579×	`fma-neg_binary64`
155×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
94×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	804
1	31	720
2	64	468
3	126	468
4	243	468
5	429	468
6	723	468
7	1186	468
8	2021	468
9	3046	468
10	3125	468
11	3155	468
12	3160	468
13	3160	468

Stop Event

1×

saturated

Counts

79 → 38

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 y (-.f64 t z))
✓	6.8b	(/.f64 (*.f64 y (-.f64 t z)) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series51.0ms (0.4%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
40.0ms	a	@	-inf	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	a	@	inf	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	y	@	inf	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	y	@	-inf	(/.f64 (*.f64 y (-.f64 t z)) a)
1.0ms	y	@	-inf	(*.f64 y (-.f64 t z))

rewrite164.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
386×	`prod-diff_binary64`
381×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
250×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2595	17

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

Outputs

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

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

simplify111.0ms (1%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary64`
492×	`fma-def_binary64`
192×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
104×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	600
1	30	546
2	64	384
3	131	384
4	235	384
5	414	384
6	721	384
7	1269	384
8	2146	384
9	2864	384
10	2999	384
11	3013	384
12	3018	384
13	3022	384

Stop Event

1×

saturated

Counts

137 → 100

Calls

Call 1

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

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

localize89.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 a (-.f64 z t))
✓	0.6b	(/.f64 1 (/.f64 a (-.f64 z t)))
✓	7.6b	(*.f64 y (/.f64 1 (/.f64 a (-.f64 z t))))

Compiler

Compiled 46 to 17 computations (63% saved)

series15.0ms (0.1%)

Counts

3 → 108

Calls

30 calls:

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

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

567×	`log-prod_binary64`
386×	`prod-diff_binary64`
349×	`pow-prod-down_binary64`
284×	`pow2_binary64`
213×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	218	24
2	3062	24

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

716×	`distribute-rgt-neg-in_binary64`
577×	`associate-/r/_binary64`
542×	`associate-/l/_binary64`
422×	`unswap-sqr_binary64`
366×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	1332
1	163	1314
2	509	1206
3	2392	1170
4	5959	1170

Stop Event

1×	node limit

Counts

236 → 156

Calls

Call 1

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

eval216.0ms (1.9%)

Compiler: Compiled 11163 to 3832 computations (65.7% saved)

prune213.0ms (1.8%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	550	10	560
Fresh	7	3	10
Picked	1	0	1
Done	2	2	4
Total	560	15	575

Error

Counts

575 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.6b	(/.f64 (*.f64 y t) a)
	29.8b	x
	48.3b	(*.f64 z (/.f64 (neg.f64 y) a))
	16.1b	(-.f64 x (*.f64 t (/.f64 (neg.f64 y) a)))
	34.6b	(/.f64 (-.f64 t z) (/.f64 a y))
	48.8b	(/.f64 t (/.f64 a y))
	18.1b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	37.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
▶	50.9b	(*.f64 (/.f64 (neg.f64 z) a) y)
▶	17.7b	(+.f64 (/.f64 (*.f64 y t) a) x)
✓	48.9b	(*.f64 t (/.f64 y a))
	48.4b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 2)
	50.4b	(/.f64 (*.f64 z (neg.f64 y)) a)
▶	49.5b	(*.f64 (/.f64 t a) y)
▶	5.7b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))

Compiler

Compiled 310 to 216 computations (30.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 a (-.f64 z t))
✓	7.4b	(/.f64 y (/.f64 a (-.f64 z t)))

Compiler

Compiled 34 to 9 computations (73.5% saved)

series4.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite134.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
404×	`prod-diff_binary64`
309×	`pow-prod-down_binary64`
260×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	182	10
2	2795	10

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
579×	`fma-neg_binary64`
155×	`cancel-sign-sub-inv_binary64`
106×	`distribute-rgt-in_binary64`
95×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	468
1	34	468
2	68	468
3	130	468
4	246	468
5	431	468
6	724	468
7	1187	468
8	2028	468
9	3051	468
10	3130	468
11	3160	468
12	3165	468
13	3165	468

Stop Event

1×

saturated

Counts

105 → 64

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.8b	(*.f64 (/.f64 t a) y)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite69.0ms (0.6%)

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 a) y)

Outputs

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

simplify41.0ms (0.4%)

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 16 to 7 computations (56.3% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

41 → 41

Calls

Call 1

Inputs

Outputs

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.2b	(*.f64 (/.f64 (neg.f64 z) a) y)

Compiler

Compiled 20 to 8 computations (60% saved)

series6.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite56.0ms (0.5%)

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	2153	7

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.6%)

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

58 → 24

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 y t) a) x)
	6.2b	(/.f64 (*.f64 y t) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

12 calls:

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

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`prod-diff_binary64`
493×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
277×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2592	8

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

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

simplify12.0ms (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	7	48
1	10	48
2	14	48
3	17	48
4	18	48

Stop Event

1×

saturated

Counts

82 → 73

Calls

Call 1

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

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

eval167.0ms (1.5%)

Compiler: Compiled 4048 to 1408 computations (65.2% saved)

prune65.0ms (0.6%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	324	3	327
Fresh	3	5	8
Picked	1	0	1
Done	0	6	6
Total	328	14	342

Error

Counts

342 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	29.8b	x
✓	49.6b	(/.f64 (*.f64 y t) a)
▶	18.1b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	37.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
▶	16.1b	(+.f64 (*.f64 (/.f64 y a) t) x)
▶	48.3b	(*.f64 z (/.f64 (neg.f64 y) a))
✓	50.9b	(*.f64 (/.f64 (neg.f64 z) a) y)
✓	48.9b	(*.f64 t (/.f64 y a))
	48.4b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 y a) (-.f64 t z))) 2)
	34.6b	(/.f64 (-.f64 t z) (/.f64 a y))
▶	48.8b	(/.f64 t (/.f64 a y))
▶	50.4b	(/.f64 (*.f64 z (neg.f64 y)) a)
✓	49.5b	(*.f64 (/.f64 t a) y)
✓	5.7b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))

Compiler

Compiled 239 to 167 computations (30.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	4.4b	(*.f64 (/.f64 y a) t)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite73.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`prod-diff_binary64`
477×	`log-prod_binary64`
322×	`pow-prod-down_binary64`
267×	`fma-def_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	176	15
2	2529	15

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×

saturated

Counts

175 → 95

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 t (/.f64 a y))

Compiler

Compiled 16 to 7 computations (56.3% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite55.0ms (0.5%)

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 t (/.f64 a y))

Outputs

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

simplify15.0ms (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 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)
(/.f64 (*.f64 y t) a)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.6b	(*.f64 z (/.f64 (neg.f64 y) a))

Compiler

Compiled 20 to 8 computations (60% saved)

series23.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	z	@	0	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	z	@	-inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	y	@	-inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	z	@	inf	(*.f64 z (/.f64 (neg.f64 y) a))
0.0ms	a	@	inf	(*.f64 z (/.f64 (neg.f64 y) a))

rewrite57.0ms (0.5%)

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

Outputs

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

simplify60.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

57 → 23

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.3b	(/.f64 (*.f64 z (neg.f64 y)) a)

Compiler

Compiled 20 to 8 computations (60% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

726×	`pow1_binary64`
672×	`add-log-exp_binary64`
671×	`log1p-expm1-u_binary64`
671×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	150	7
2	2171	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify109.0ms (0.9%)

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

77 → 43

Calls

Call 1

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

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

localize47.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	5.3b	(/.f64 (*.f64 y z) a)

Compiler

Compiled 24 to 8 computations (66.7% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

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

rewrite267.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

587×	`prod-diff_binary64`
503×	`log-prod_binary64`
320×	`pow-prod-down_binary64`
250×	`pow2_binary64`
215×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	176	17
2	2613	17

Stop Event

1×	node limit

Counts

2 → 250

Calls

Call 1

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

Outputs

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exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 y z))) -1))))))

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

simplify170.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

365×	`fma-def_binary64`
220×	`fma-neg_binary64`
81×	`cancel-sign-sub-inv_binary64`
54×	`associate-/l*_binary64`
44×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	456
1	19	420
2	41	420
3	80	420
4	141	420
5	214	420
6	300	420
7	378	420
8	482	420
9	747	420
10	1169	420
11	1323	420
12	1440	420
13	1445	420

Stop Event

1×

saturated

Counts

298 → 256

Calls

Call 1

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

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

eval344.0ms (3%)

Compiler: Compiled 8757 to 2824 computations (67.8% saved)

prune116.0ms (1%)

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	457	2	459
Fresh	2	1	3
Picked	0	1	1
Done	0	10	10
Total	459	14	473

Error

Counts

473 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(-.f64 x (/.f64 (*.f64 y z) a))
✓	37.4b	(/.f64 (*.f64 y (-.f64 t z)) a)
✓	16.1b	(+.f64 (*.f64 (/.f64 y a) t) x)
✓	49.6b	(/.f64 (*.f64 y t) a)
✓	48.3b	(*.f64 z (/.f64 (neg.f64 y) a))
	29.8b	x
✓	50.9b	(*.f64 (/.f64 (neg.f64 z) a) y)
✓	48.9b	(*.f64 t (/.f64 y a))
	37.1b	(pow.f64 (sqrt.f64 (-.f64 x (*.f64 (/.f64 y a) z))) 2)
	34.6b	(/.f64 (-.f64 t z) (/.f64 a y))
✓	48.8b	(/.f64 t (/.f64 a y))
✓	50.4b	(/.f64 (*.f64 z (neg.f64 y)) a)
✓	49.5b	(*.f64 (/.f64 t a) y)
✓	5.7b	(-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))

Compiler

Compiled 156 to 109 computations (30.1% saved)

regimes686.0ms (6%)

Counts

32 → 3

Calls

Call 1

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

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

Calls

11 calls:

178.0ms	a
77.0ms	(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
77.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
70.0ms	(*.f64 y (-.f64 z t))
69.0ms	(*.f64 y (-.f64 z t))

Results

Error	Segments	Branch
2.0b	1	`x`
0.4b	3	`y`
2.0b	1	`z`
2.0b	1	`t`
0.4b	3	`a`
0.1b	3	`(-.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))`
0.1b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.1b	3	`(/.f64 (*.f64 y (-.f64 z t)) a)`
0.1b	3	`(*.f64 y (-.f64 z t))`
0.1b	3	`(*.f64 y (-.f64 z t))`
2.0b	1	`(-.f64 z t)`

Compiler

Compiled 328 to 149 computations (54.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.2161023568938894e+104	3.032222434540349e+105
0.0ms	-8.860166382690273e+238	-1.5413597105222983e+229

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes100.0ms (0.9%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(-.f64 z t)
15.0ms	z
15.0ms	a
14.0ms	x
14.0ms	t

Results

Error	Segments	Branch
2.0b	1	`x`
2.0b	1	`y`
2.0b	1	`z`
2.0b	1	`t`
2.0b	1	`a`
2.0b	1	`(-.f64 z t)`

Compiler

Compiled 185 to 79 computations (57.3% saved)

regimes137.0ms (1.2%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

6 calls:

35.0ms	y
32.0ms	a
22.0ms	t
13.0ms	z
12.0ms	x

Results

Error	Segments	Branch
5.7b	1	`x`
3.8b	3	`y`
5.7b	1	`z`
4.5b	2	`t`
4.4b	3	`a`
5.7b	1	`(-.f64 z t)`

Compiler

Compiled 167 to 74 computations (55.7% saved)

bsearch47.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	4.529037133255523e-138	5.835624778767184e-134
22.0ms	-1.3848615440946353e-70	-5.4481908805209804e-76

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes243.0ms (2.1%)

Counts

21 → 7

Calls

Call 1

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

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

Calls

5 calls:

71.0ms	y
71.0ms	a
35.0ms	z
30.0ms	t
30.0ms	x

Results

Error	Segments	Branch
10.1b	3	`x`
8.4b	7	`y`
9.6b	3	`z`
9.8b	3	`t`
10.6b	7	`a`

Compiler

Compiled 150 to 64 computations (57.3% saved)

bsearch427.0ms (3.7%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
63.0ms	4.330653006991759e+184	1.2046434987402545e+191
128.0ms	2.0774509814544085e+26	1.0152796980463824e+29
22.0ms	4.529037133255523e-138	5.835624778767184e-134
63.0ms	-1.8831752620306059e+37	-1.3330591951431275e+37
91.0ms	-3.530000172194825e+98	-1.04040482692004e+88
60.0ms	-1.051374753752973e+162	-2.815565960216479e+157

Compiler

Compiled 1036 to 718 computations (30.7% saved)

regimes224.0ms (1.9%)

Counts

18 → 7

Calls

Call 1

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

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

Calls

5 calls:

72.0ms	a
64.0ms	y
28.0ms	x
27.0ms	t
27.0ms	z

Results

Error	Segments	Branch
10.1b	3	`x`
8.5b	7	`y`
9.6b	3	`z`
10.0b	3	`t`
10.9b	8	`a`

Compiler

Compiled 127 to 56 computations (55.9% saved)

bsearch415.0ms (3.6%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
56.0ms	1.2046434987402545e+191	3.793145554875798e+198
127.0ms	2.0774509814544085e+26	1.0152796980463824e+29
21.0ms	4.529037133255523e-138	5.835624778767184e-134
62.0ms	-1.8831752620306059e+37	-1.3330591951431275e+37
90.0ms	-3.530000172194825e+98	-1.04040482692004e+88
60.0ms	-1.051374753752973e+162	-2.815565960216479e+157

Compiler

Compiled 1036 to 718 computations (30.7% saved)

regimes205.0ms (1.8%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	a
46.0ms	z
41.0ms	y
27.0ms	t
26.0ms	x

Results

Error	Segments	Branch
10.1b	3	`x`
9.9b	5	`y`
9.6b	3	`z`
10.0b	3	`t`
11.2b	7	`a`

Compiler

Compiled 120 to 55 computations (54.2% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	9.09284142775361e-21	3.5350408868351133e-16
22.0ms	-56374611294.411865	-60404847.13916902

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes136.0ms (1.2%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	a
32.0ms	z
25.0ms	x
25.0ms	y
9.0ms	t

Results

Error	Segments	Branch
10.1b	3	`x`
11.8b	3	`y`
11.8b	4	`z`
16.1b	1	`t`
13.6b	5	`a`

Compiler

Compiled 106 to 50 computations (52.8% saved)

bsearch44.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	7.964073095505046e-22	3.027587644537752e-21
21.0ms	-1.4907642598393738e-101	-3.932135310332534e-107

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes342.0ms (3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

5 calls:

136.0ms	y
106.0ms	x
62.0ms	t
24.0ms	z
9.0ms	a

Results

Error	Segments	Branch
14.3b	3	`x`
14.0b	3	`y`
13.3b	2	`z`
16.1b	1	`t`
16.1b	1	`a`

Compiler

Compiled 99 to 48 computations (51.5% saved)

bsearch117.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
117.0ms	-1.0313965022530204e+62	-1.320394686146667e+61

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes212.0ms (1.8%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

5 calls:

60.0ms	z
50.0ms	a
38.0ms	x
36.0ms	t
23.0ms	y

Results

Error	Segments	Branch
22.5b	5	`x`
25.4b	3	`y`
25.4b	4	`z`
27.5b	4	`t`
26.8b	5	`a`

Compiler

Compiled 92 to 46 computations (50% saved)

bsearch182.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
23.0ms	7.964073095505046e-22	3.027587644537752e-21
23.0ms	2.704362937307584e-171	7.323100647180932e-162
45.0ms	5.616852343531724e-268	6.125842389042861e-251
90.0ms	-1.4907642598393738e-101	-3.932135310332534e-107

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes345.0ms (3%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

138.0ms	z
95.0ms	t
56.0ms	x
37.0ms	a
16.0ms	y

Results

Error	Segments	Branch
25.4b	3	`x`
27.9b	2	`y`
28.6b	3	`z`
27.5b	4	`t`
28.3b	3	`a`

Compiler

Compiled 68 to 38 computations (44.1% saved)

bsearch45.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	2.704362937307584e-171	7.323100647180932e-162
22.0ms	-2.6835423382954547e-39	-2.5656195638658517e-61

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes81.0ms (0.7%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	t
16.0ms	a
14.0ms	x
13.0ms	z
13.0ms	y

Results

Error	Segments	Branch
25.5b	3	`x`
28.1b	2	`y`
28.7b	3	`z`
27.5b	4	`t`
28.3b	3	`a`

Compiler

Compiled 53 to 34 computations (35.8% saved)

bsearch43.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.384734278343729e-96	2.2241700077940847e-95
21.0ms	-2.6835423382954547e-39	-2.5656195638658517e-61

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes22.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
x
x
x

Outputs
x

Calls

5 calls:

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

Results

Error	Segments	Branch
29.8b	1	`x`
29.8b	1	`y`
29.8b	1	`z`
29.8b	1	`t`
29.8b	1	`a`

Compiler

Compiled 38 to 30 computations (21.1% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

92×	`distribute-rgt-neg-in_binary64`
66×	`cancel-sign-sub-inv_binary64`
64×	`distribute-lft-neg-in_binary64`
57×	`neg-sub0_binary64`
57×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	539
1	133	539
2	169	539
3	207	539
4	235	539
5	266	539
6	304	539
7	359	539
8	428	539
9	503	539
10	607	539
11	684	539
12	722	539
13	730	539
14	736	539

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 y (-.f64 z t)) -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 (.f64 y (-.f64 z t)) 499999999999999969129150412640989270163513682236062239147208106269435745912299856818410263751954127650816) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (.f64 (/.f64 y a) (-.f64 z t)))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(if (<=.f64 y -68872382508859848/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (*.f64 y t) a) x) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (.f64 (/.f64 (-.f64 t z) a) y) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960) (+.f64 (.f64 (/.f64 y a) t) x) (.f64 (/.f64 (-.f64 t z) a) y)))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 3699999999999999786034057565469055191654726461109610970703066181572704137822226260287781027690500713197817524467010800675987760812298108985114013689428085514600036946286457753798123091932685713539072) (+.f64 (.f64 (/.f64 y a) t) x) (/.f64 (-.f64 t z) (/.f64 a y))))))))
(if (<=.f64 z -230910407861911/4096) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 z 3094133603072763904/340282366920938463463374607431768211456) (+.f64 (.f64 (/.f64 y a) t) x) (-.f64 x (/.f64 (*.f64 y z) a))))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 271003364326982240/340282366920938463463374607431768211456) (/.f64 (-.f64 t z) (/.f64 a y)) (+.f64 (.f64 (/.f64 y a) t) x)))
(if (<=.f64 z -103139650225302044516991209598368180382773529323233571541876736) (.f64 z (/.f64 (neg.f64 y) a)) (+.f64 (.f64 (/.f64 y a) t) x))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) x (if (<=.f64 x 5220221504534209/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 z (/.f64 (neg.f64 y) a)) (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (/.f64 (.f64 y t) a) (if (<=.f64 x 271003364326982240/340282366920938463463374607431768211456) (*.f64 z (/.f64 (neg.f64 y) a)) x))))
(if (<=.f64 x -16844868268698030080/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (*.f64 (/.f64 t a) y) x))
(if (<=.f64 x -16844868268698030080/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 5272440405421231/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 t (/.f64 a y)) x))
x

Outputs
(if (<=.f64 (.f64 y (-.f64 z t)) -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 (.f64 y (-.f64 z t)) 499999999999999969129150412640989270163513682236062239147208106269435745912299856818410263751954127650816) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (.f64 (/.f64 y a) (-.f64 z t)))))
(if (<=.f64 (.f64 y (-.f64 z t)) -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 (.f64 y (-.f64 z t)) 499999999999999969129150412640989270163513682236062239147208106269435745912299856818410263751954127650816) (-.f64 x (/.f64 (.f64 y (-.f64 z t)) a)) (-.f64 x (.f64 (-.f64 z t) (/.f64 y a)))))
(if (<=.f64 (.f64 y (-.f64 z t)) -49999999999999999540589572719110335148353311082316343726890146251077870360985096300561032737983380649043799630328643813943508715584736047117726341615358413203781242297082616067649868421895569043991510885701045729028059788218474167011377152) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 (.f64 y (-.f64 z t)) 499999999999999969129150412640989270163513682236062239147208106269435745912299856818410263751954127650816) (+.f64 x (/.f64 (.f64 y (-.f64 t z)) a)) (+.f64 x (.f64 (/.f64 y a) (-.f64 t z)))))
(-.f64 x (*.f64 (/.f64 y a) (-.f64 z t)))
(-.f64 x (*.f64 (-.f64 z t) (/.f64 y a)))
(+.f64 x (*.f64 (/.f64 y a) (-.f64 t z)))
(if (<=.f64 y -68872382508859848/497323236409786642155382248146820840100456150797347717440463976893159497012533375533056) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (*.f64 y t) a) x) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))))
(if (<=.f64 y -8609047813607481/62165404551223330269422781018352605012557018849668464680057997111644937126566671941632) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t)))) (if (<=.f64 y 3795278749391743/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 x (/.f64 (*.f64 y t) a)) (-.f64 x (/.f64 y (/.f64 a (-.f64 z t))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (.f64 (/.f64 (-.f64 t z) a) y) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960) (+.f64 (.f64 (/.f64 y a) t) x) (.f64 (/.f64 (-.f64 t z) a) y)))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (.f64 y (/.f64 (-.f64 t z) a)) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 3795278749391743/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 x (/.f64 (.f64 y t) a)) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 119999999999999992877954897399563223451479746196316311646413785330107466199012678948002411362879404520637843802869229319685045772930731246770522193728394423583597567697869561186805114428456960) (+.f64 x (.f64 t (/.f64 y a))) (.f64 y (/.f64 (-.f64 t z) a))))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 60724459990267888/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096) (+.f64 (/.f64 (.f64 y t) a) x) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 3699999999999999786034057565469055191654726461109610970703066181572704137822226260287781027690500713197817524467010800675987760812298108985114013689428085514600036946286457753798123091932685713539072) (+.f64 (.f64 (/.f64 y a) t) x) (/.f64 (-.f64 t z) (/.f64 a y))))))))
(if (<=.f64 y -999999999999999937849939638116397466450525159438967985375725315922685858882365002492855496964043060934899979621894213003182527093908649335762989920701551401238528) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y -10500000000000000015587372986274891076490334127038369073403233821875130721386571791073280) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 y -18499999999999999677977146996759199744) (/.f64 (-.f64 t z) (/.f64 a y)) (if (<=.f64 y 3795278749391743/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880256) (+.f64 x (/.f64 (.f64 y t) a)) (if (<=.f64 y 99999999999999991433150857216) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 y 3699999999999999786034057565469055191654726461109610970703066181572704137822226260287781027690500713197817524467010800675987760812298108985114013689428085514600036946286457753798123091932685713539072) (+.f64 x (.f64 t (/.f64 y a))) (/.f64 (-.f64 t z) (/.f64 a y))))))))
(if (<=.f64 z -230910407861911/4096) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 z 3094133603072763904/340282366920938463463374607431768211456) (+.f64 (.f64 (/.f64 y a) t) x) (-.f64 x (/.f64 (*.f64 y z) a))))
(if (<=.f64 z -230910407861911/4096) (-.f64 x (/.f64 (.f64 y z) a)) (if (<=.f64 z 1510807423375373/166153499473114484112975882535043072) (+.f64 x (.f64 t (/.f64 y a))) (-.f64 x (/.f64 (*.f64 y z) a))))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 (.f64 (/.f64 y a) t) x) (if (<=.f64 x 271003364326982240/340282366920938463463374607431768211456) (/.f64 (-.f64 t z) (/.f64 a y)) (+.f64 (.f64 (/.f64 y a) t) x)))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (+.f64 x (.f64 t (/.f64 y a))) (if (<=.f64 x 8468855135218195/10633823966279326983230456482242756608) (/.f64 (-.f64 t z) (/.f64 a y)) (+.f64 x (.f64 t (/.f64 y a)))))
(if (<=.f64 z -103139650225302044516991209598368180382773529323233571541876736) (.f64 z (/.f64 (neg.f64 y) a)) (+.f64 (.f64 (/.f64 y a) t) x))
(if (<=.f64 z -103139650225302044516991209598368180382773529323233571541876736) (.f64 z (/.f64 (neg.f64 y) a)) (+.f64 x (.f64 t (/.f64 y a))))
(if (<=.f64 z -103139650225302044516991209598368180382773529323233571541876736) (.f64 (/.f64 y a) (neg.f64 z)) (+.f64 x (.f64 t (/.f64 y a))))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) x (if (<=.f64 x 5220221504534209/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 z (/.f64 (neg.f64 y) a)) (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (/.f64 (.f64 y t) a) (if (<=.f64 x 271003364326982240/340282366920938463463374607431768211456) (*.f64 z (/.f64 (neg.f64 y) a)) x))))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) x (if (<=.f64 x 5220221504534209/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 z (/.f64 (neg.f64 y) a)) (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (/.f64 (.f64 y t) a) (if (<=.f64 x 8468855135218195/10633823966279326983230456482242756608) (*.f64 z (/.f64 (neg.f64 y) a)) x))))
(if (<=.f64 x -4699128208284355/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) x (if (<=.f64 x 5220221504534209/9293855677986144142487890613436878500820376260371215369098574120724629107252527334657301965600977191186242023688706081565341157784655660673692691131889966411143567752796624212141790061464360855438994973639696482537923429417986750550981868377179113018825281909088399455148533430091776) (.f64 (/.f64 y a) (neg.f64 z)) (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (/.f64 (.f64 y t) a) (if (<=.f64 x 8468855135218195/10633823966279326983230456482242756608) (*.f64 (/.f64 y a) (neg.f64 z)) x))))
(if (<=.f64 x -16844868268698030080/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (*.f64 (/.f64 t a) y) x))
(if (<=.f64 x -4112516667162605/1532495540865888858358347027150309183618739122183602176) x (if (<=.f64 x 5883453040105909/2175541218577478036232553294038911497542013410209922757424923190068852981190050786259609609278379154099770693575665668158859588967025488852621393833027941793561932885341770625153958412288) (*.f64 y (/.f64 t a)) x))
(if (<=.f64 x -16844868268698030080/6277101735386680763835789423207666416102355444464034512896) x (if (<=.f64 x 5272440405421231/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 t (/.f64 a y)) x))
(if (<=.f64 x -4112516667162605/1532495540865888858358347027150309183618739122183602176) x (if (<=.f64 x 5272440405421231/1202453802380202612679414065556140558016349465041059773802132977424491020858679523053413887173001575952350707712) (/.f64 t (/.f64 a y)) x))
x

Compiler

Compiled 432 to 222 computations (48.6% saved)

soundness0.0ms (0%)

end242.0ms (2.1%)

Compiler: Compiled 377 to 121 computations (67.9% 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	103	539
1	133	539
2	169	539
3	207	539
4	235	539
5	266	539
6	304	539
7	359	539
8	428	539
9	503	539
10	607	539
11	684	539
12	722	539
13	730	539
14	736	539

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	103	539
1	133	539
2	169	539
3	207	539
4	235	539
5	266	539
6	304	539
7	359	539
8	428	539
9	503	539
10	607	539
11	684	539
12	722	539
13	730	539
14	736	539

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	103	539
1	133	539
2	169	539
3	207	539
4	235	539
5	266	539
6	304	539
7	359	539
8	428	539
9	503	539
10	607	539
11	684	539
12	722	539
13	730	539
14	736	539