Details

analyze1.7s (28%)

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
7%	92.7%	0.2%	13
11.1%	88.7%	0.2%	14

Compiler

Compiled 19 to 14 computations (26.3% saved)

sample1.6s (24.9%)

Results

1.1s	8256×	body	128	valid
431.0ms	3340×	body	128	invalid

Compiler

Compiled 38 to 28 computations (26.3% saved)

preprocess33.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

770×	`times-frac_binary64`
393×	`distribute-neg-frac_binary64`
388×	`associate-/r/_binary64`
376×	`fma-def_binary64`
338×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	199	187
2	704	187
3	2404	187
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
0
2
3
2
4

Call 2

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y x) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 z y) (.f64 (.f64 x 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 t y) (.f64 (.f64 z 9) x)) (.f64 a 2))
(/.f64 (-.f64 (.f64 a y) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (-.f64 (.f64 x z) (.f64 (.f64 y 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 (.f64 z 9) y)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x a) (.f64 (.f64 z 9) t)) (.f64 y 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t 9) z)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 a 9) t)) (.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) a)) (.f64 t 2))

Outputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 y x) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 z y) (.f64 (.f64 x 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y z) (.f64 x (.f64 9 t))) (.f64 a 2))
(/.f64 (fma.f64 y z (.f64 x (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x (.f64 t -9) (.f64 y z)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 t y) (.f64 (.f64 z 9) x)) (.f64 a 2))
(/.f64 (-.f64 (.f64 y t) (.f64 x (.f64 z 9))) (.f64 a 2))
(/.f64 (fma.f64 y t (.f64 x (.f64 z -9))) (*.f64 a 2))
(/.f64 (fma.f64 x (.f64 z -9) (.f64 y t)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 a y) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (-.f64 (.f64 y a) (.f64 (.f64 z 9) t)) (.f64 x 2))
(/.f64 (fma.f64 y a (.f64 z (.f64 t -9))) (*.f64 x 2))
(/.f64 (fma.f64 y a (.f64 t (.f64 z -9))) (*.f64 x 2))
(/.f64 (-.f64 (.f64 x z) (.f64 (.f64 y 9) t)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x z) (.f64 t (.f64 y 9))) (.f64 a 2))
(/.f64 (fma.f64 x z (.f64 y (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 (.f64 y t) -9 (.f64 x z)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 (.f64 z 9) y)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x t) (.f64 y (.f64 z 9))) (.f64 a 2))
(/.f64 (fma.f64 x t (.f64 y (.f64 z -9))) (*.f64 a 2))
(/.f64 (fma.f64 x t (.f64 (.f64 y z) -9)) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x a) (.f64 (.f64 z 9) t)) (.f64 y 2))
(/.f64 (fma.f64 x a (.f64 z (.f64 t -9))) (*.f64 y 2))
(/.f64 (fma.f64 x a (.f64 t (.f64 z -9))) (*.f64 y 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 t 9) z)) (.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 a 9) t)) (.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 t (.f64 9 a))) (.f64 z 2))
(/.f64 (fma.f64 x y (.f64 a (.f64 t -9))) (*.f64 z 2))
(/.f64 (fma.f64 t (.f64 a -9) (.f64 x y)) (*.f64 z 2))
(/.f64 (fma.f64 x y (.f64 -9 (.f64 t a))) (*.f64 z 2))
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) a)) (.f64 t 2))
(/.f64 (-.f64 (.f64 x y) (.f64 z (.f64 9 a))) (.f64 t 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 a -9))) (*.f64 t 2))
(/.f64 (fma.f64 -9 (.f64 z a) (.f64 x y)) (*.f64 t 2))

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
757×	`fma-neg_binary64`
385×	`associate-/l*_binary64`
290×	`associate-/r/_binary64`
265×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	31	17
2	109	17
3	349	17
4	992	17
5	2393	17
6	4046	17
7	4848	17

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

Outputs
(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
(/.f64 (fma.f64 x y (.f64 t (.f64 z -9))) (*.f64 a 2))
(/.f64 (fma.f64 x y (.f64 z (.f64 t -9))) (*.f64 a 2))
(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

8.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	8.2b	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)

Compiler

Compiled 64 to 44 computations (31.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2)))
✓	7.8b	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)

series19.0ms (0.3%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
2.0ms	y	@	-inf	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
1.0ms	t	@	0	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
1.0ms	z	@	-inf	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
1.0ms	a	@	0	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

257×	`prod-diff_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`
205×	`log-pow_binary64`
138×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	274	31
2	3367	31

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
(fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2)))

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

Outputs

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y 1/2))) a)) 2) (cbrt.f64 (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2)))) (*.f64 (sqrt.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2)))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2))) a)) (sqrt.f64 (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2)))) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2))) 2)) 1) (/.f64 (cbrt.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (*.f64 y 1/2)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 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1/2))) a)))))))

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

simplify59.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
34×	`associate-/l*_binary64`
26×	`*-commutative_binary64`
26×	`associate-/r/_binary64`
20×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1632
1	41	1632
2	82	1632
3	144	1632
4	204	1632
5	238	1632
6	242	1632

Stop Event

1×

saturated

Counts

167 → 74

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
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(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
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(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(.f64 1/2 (.f64 y x))
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(.f64 1/2 (.f64 y x))
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(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
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(.f64 -9/2 (.f64 t z))
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(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
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(.f64 -9/2 (.f64 t z))
(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 y a) x))
(/.f64 1/2 (/.f64 (/.f64 a y) x))
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(fma.f64 1/2 (/.f64 (.f64 y x) a) (.f64 -9/2 (*.f64 z (/.f64 t a))))
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(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))

prune64.0ms (1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	7	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	8	75

Error

0.4b

Counts

75 → 8

Alt Table

Status	Error	Program
	34.7b	(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (sqrt.f64 a)))
	8.3b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
	26.3b	(.f64 (cbrt.f64 (pow.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) 2)) (.f64 (cbrt.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2)))) (/.f64 1 a)))
▶	8.3b	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
✓	8.2b	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
	33.0b	(.f64 -9/2 (.f64 z (/.f64 t a)))
	33.9b	(/.f64 1/2 (/.f64 (/.f64 a y) x))
	9.1b	(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (cbrt.f64 a)))

Compiler

Compiled 1580 to 1033 computations (34.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f64 t (.f64 z -9/2) (.f64 x (*.f64 y 1/2)))
✓	7.8b	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))

series8.0ms (0.1%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
0.0ms	z	@	inf	(fma.f64 t (.f64 z -9/2) (.f64 x (*.f64 y 1/2)))
0.0ms	t	@	inf	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
0.0ms	y	@	inf	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
0.0ms	x	@	inf	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`prod-diff_binary64`
259×	`expm1-udef_binary64`
259×	`log1p-udef_binary64`
148×	`add-sqr-sqrt_binary64`
142×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	31
1	302	31
2	3513	31

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
(fma.f64 t (.f64 z -9/2) (.f64 x (*.f64 y 1/2)))

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

Outputs

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

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

48×	`fma-def_binary64`
34×	`associate-/l*_binary64`
26×	`*-commutative_binary64`
26×	`associate-/r/_binary64`
20×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1632
1	41	1632
2	82	1632
3	144	1632
4	204	1632
5	238	1632
6	242	1632

Stop Event

1×

saturated

Counts

163 → 70

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(.f64 1/2 (.f64 y x))
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Outputs
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(.f64 1/2 (.f64 (/.f64 y a) x))
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(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(.f64 1/2 (.f64 y x))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))
(+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x)))
(fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 z -9/2)))
(fma.f64 1/2 (.f64 y x) (.f64 t (*.f64 -9/2 z)))

prune60.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Error

0.4b

Counts

78 → 8

Alt Table

Status	Error	Program
	9.0b	(/.f64 (/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (*.f64 y 1/2))) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	34.7b	(/.f64 (/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (*.f64 y 1/2))) (sqrt.f64 a)) (sqrt.f64 a))
	26.3b	(/.f64 (cbrt.f64 (pow.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) 2)) (/.f64 a (cbrt.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))))))
✓	8.3b	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
✓	8.2b	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
	33.0b	(.f64 -9/2 (.f64 z (/.f64 t a)))
▶	8.3b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
	33.9b	(/.f64 1/2 (/.f64 (/.f64 a y) x))

Compiler

Compiled 1469 to 975 computations (33.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
✓	0.2b	(.f64 -9/2 (/.f64 (.f64 t z) a))
✓	5.7b	(/.f64 (*.f64 y x) a)
✓	7.1b	(/.f64 (*.f64 t z) a)

series25.0ms (0.4%)

Counts

4 → 24

Calls

42 calls:

Time	Variable		Point	Expression
3.0ms	a	@	0	(.f64 -9/2 (/.f64 (.f64 t z) a))
2.0ms	t	@	-inf	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
1.0ms	a	@	inf	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
1.0ms	t	@	0	(/.f64 (*.f64 t z) a)
1.0ms	y	@	0	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))

rewrite69.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-udef_binary64`
167×	`add-sqr-sqrt_binary64`
162×	`*-un-lft-identity_binary64`
162×	`pow1_binary64`
155×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	327	44
2	4616	44

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(/.f64 (*.f64 t z) a)
(/.f64 (*.f64 y x) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 t (/.f64 a z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (/.f64 1 (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 t (.f64 z (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (.f64 t (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t z) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t (/.f64 a z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 t (/.f64 a z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 t (/.f64 a z))) (cbrt.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2)) (cbrt.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (.f64 (cbrt.f64 (.f64 t z)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 t (/.f64 a z))) (sqrt.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 t z)) (.f64 (sqrt.f64 (.f64 t z)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 t (neg.f64 z)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 t z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t 1) (/.f64 z a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z 1) (/.f64 t a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t a) z)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) 1) (/.f64 (cbrt.f64 (.f64 t z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 t z)) 1) (/.f64 (sqrt.f64 (.f64 t z)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t (pow.f64 (cbrt.f64 a) 2)) (/.f64 z (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (pow.f64 (cbrt.f64 a) 2)) (/.f64 t (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 t z) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 t z)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 t z)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 t (sqrt.f64 a)) (/.f64 z (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 z (sqrt.f64 a)) (/.f64 t (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 t z) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 t z)) 2) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 t z)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 t (/.f64 a z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 t (/.f64 a z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 t (/.f64 a z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 t (/.f64 a z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 t z)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 t z) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 t (/.f64 a z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 t (/.f64 a z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 t z) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 t (/.f64 a z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 t (/.f64 a z))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 t (/.f64 a z))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 y a) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (/.f64 a x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (.f64 x (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 y (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y x) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 y a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 y a) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (.f64 (cbrt.f64 (.f64 y x)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 y a) x)) (pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 2) (cbrt.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 y x)) (.f64 (sqrt.f64 (.f64 y x)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 y a) x)) (sqrt.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (neg.f64 x)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 y x) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 y x) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y 1) (/.f64 x a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 y a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y a) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) 1) (/.f64 (cbrt.f64 (.f64 y x)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y x)) 1) (/.f64 (sqrt.f64 (.f64 y x)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (pow.f64 (cbrt.f64 a) 2)) (/.f64 x (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 a) 2)) (/.f64 y (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 (.f64 y x)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (sqrt.f64 a)) (/.f64 x (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 a)) (/.f64 y (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 y x) 2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 (.f64 y x)) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 y a) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 y a) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 y a) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 y x) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 y a) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 y a) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 y a) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 y x) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 y a) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 y a) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y a) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/2 (/.f64 a (.f64 t z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (.f64 (.f64 t z) -9/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t z) -9/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 t z) -9/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 t z) -9/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 t z) -9/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (.f64 t z) -9/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 t -9/2) (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 t (neg.f64 z)) -9/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -9/2 t) (/.f64 a z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -9/2 (.f64 t (neg.f64 z))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 t (/.f64 a z))) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a)) (/.f64 (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2) (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) 2) (cbrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) (sqrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) (.f64 1/8 (pow.f64 (.f64 (/.f64 y a) x) 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (-.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2)) (/.f64 1 (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (-.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z)))))) (+.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) (.f64 1/8 (pow.f64 (.f64 (/.f64 y a) x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a) (-.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) (.f64 1/8 (pow.f64 (.f64 (/.f64 y a) x) 3))) (+.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (-.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) (.f64 1/8 (pow.f64 (.f64 (/.f64 y a) x) 3))) (+.f64 (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2) (-.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (.f64 (/.f64 t (/.f64 a z)) (.f64 -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2)) (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 -9/2 (/.f64 a (.f64 t z))) 3) (.f64 1/8 (pow.f64 (.f64 (/.f64 y a) x) 3)))) (neg.f64 (+.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (-.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4) (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2))) (neg.f64 (/.f64 (-.f64 (.f64 (.f64 t z) -9/2) (.f64 (.f64 y x) 1/2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (.f64 t z) -9/2) a) (.f64 a (.f64 (.f64 y x) 1/2))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (.f64 y x) 1/2) a) (.f64 a (.f64 (.f64 t z) -9/2))) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2) (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4)) (-.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 t (/.f64 a z)) -9/2 (/.f64 1/2 (/.f64 a (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 a (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -9/2 (/.f64 t (/.f64 a z)) (/.f64 1/2 (/.f64 a (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 (/.f64 y a) x) (/.f64 -9/2 (/.f64 a (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 -9/2 (/.f64 a (.f64 t z))) (/.f64 1/2 (/.f64 a (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 (/.f64 a (.f64 y x))) (/.f64 -9/2 (/.f64 a (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 t (/.f64 a z)) 2) 81/4)) (cbrt.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) (/.f64 1/2 (/.f64 a (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (/.f64 1/2 (/.f64 a (.f64 y x))) 2)) (cbrt.f64 (/.f64 1/2 (/.f64 a (.f64 y x)))) (/.f64 -9/2 (/.f64 a (.f64 t z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) (sqrt.f64 (/.f64 -9/2 (/.f64 a (.f64 t z)))) (/.f64 1/2 (/.f64 a (.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 (/.f64 a (.f64 y x)))) (sqrt.f64 (/.f64 1/2 (/.f64 a (.f64 y x)))) (/.f64 -9/2 (/.f64 a (*.f64 t z))))))))

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`fma-def_binary64`
582×	`fma-neg_binary64`
388×	`associate-/l*_binary64`
273×	`div-sub_binary64`
218×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	324
1	58	324
2	130	324
3	268	324
4	469	324
5	821	324
6	1638	324
7	2578	324
8	4483	324

Stop Event

1×	node limit

Counts

175 → 159

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 (*.f64 -9/2 t) z)) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 z (*.f64 -9/2 t))) a)
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(/.f64 (.f64 (.f64 -9/2 t) z) a)
(.f64 z (.f64 -9/2 (/.f64 t a)))
(.f64 -9/2 (.f64 t (/.f64 z a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(*.f64 1/2 (/.f64 y (/.f64 a x)))
(.f64 1/2 (.f64 (/.f64 x a) y))
(.f64 1/2 (.f64 y (/.f64 x a)))
(.f64 x (.f64 y (/.f64 1/2 a)))

prune138.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	153	6	159
Fresh	3	2	5
Picked	1	0	1
Done	0	2	2
Total	157	10	167

Error

0.3b

Counts

167 → 10

Alt Table

Status	Error	Program
✓	8.2b	(/.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (/.f64 y 2))) a)
	10.5b	(fma.f64 (.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 a (.f64 t z))))
	32.5b	(.f64 -9/2 (.f64 t (/.f64 z a)))
	33.9b	(/.f64 1/2 (/.f64 (/.f64 a y) x))
▶	6.8b	(+.f64 (/.f64 (.f64 t -9/2) (/.f64 a z)) (.f64 1/2 (/.f64 (*.f64 y x) a)))
	7.3b	(+.f64 (.f64 -9/2 (pow.f64 (cbrt.f64 (/.f64 t (/.f64 a z))) 3)) (.f64 1/2 (/.f64 (*.f64 y x) a)))
✓	8.3b	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
	33.0b	(.f64 -9/2 (.f64 z (/.f64 t a)))
	33.5b	(/.f64 (+.f64 (.f64 (.f64 (.f64 t z) -9/2) a) (.f64 a (.f64 (.f64 y x) 1/2))) (*.f64 a a))
	10.9b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 3)))

Compiler

Compiled 3596 to 1653 computations (54% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (/.f64 (.f64 y x) a))
✓	0.0b	(+.f64 (/.f64 (.f64 t -9/2) (/.f64 a z)) (.f64 1/2 (/.f64 (*.f64 y x) a)))
✓	5.1b	(/.f64 (*.f64 t -9/2) (/.f64 a z))
	5.7b	(/.f64 (*.f64 y x) a)

series10.0ms (0.2%)

Counts

3 → 96

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 1/2 (/.f64 (.f64 y x) a))
0.0ms	t	@	0	(/.f64 (*.f64 t -9/2) (/.f64 a z))
0.0ms	x	@	0	(.f64 1/2 (/.f64 (.f64 y x) a))
0.0ms	x	@	-inf	(.f64 1/2 (/.f64 (.f64 y x) a))
0.0ms	y	@	0	(.f64 1/2 (/.f64 (.f64 y x) a))

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

306×	`log1p-udef_binary64`
172×	`add-sqr-sqrt_binary64`
167×	`*-un-lft-identity_binary64`
167×	`pow1_binary64`
160×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	333	40
2	4949	40

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs
(/.f64 (*.f64 t -9/2) (/.f64 a z))
(+.f64 (/.f64 (.f64 t -9/2) (/.f64 a z)) (.f64 1/2 (/.f64 (*.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a))) 2) (-.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a))) (/.f64 1/2 (/.f64 a (*.f64 y x))))) (/.f64 (*.f64 1/4 (pow.f64 (*.f64 (/.f64 y a) x) 2)) (-.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a))) (/.f64 1/2 (/.f64 a (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 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egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (*.f64 1/2 y) x) (*.f64 -2/9 (/.f64 (/.f64 a z) t))) a) (*.f64 a (*.f64 -2/9 (/.f64 (/.f64 a z) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (*.f64 1/2 y) x) (/.f64 (neg.f64 a) z)) (*.f64 a (*.f64 t 9/2))) (*.f64 a (/.f64 (neg.f64 a) z)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1/4 (pow.f64 (*.f64 (/.f64 y a) x) 2)) (pow.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a))) 2)) (-.f64 (/.f64 1/2 (/.f64 a (*.f64 y x))) (*.f64 t (*.f64 -9/2 (/.f64 z a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 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(/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 t -9/2) (/.f64 z a) (/.f64 1/2 (/.f64 a (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 (/.f64 y a) x) (*.f64 t (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 y a) x) 1/2 (*.f64 t (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 t (*.f64 -9/2 (/.f64 z a))) (/.f64 1/2 (/.f64 a (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1/2 (/.f64 a (*.f64 y x))) (*.f64 t (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/2 (/.f64 a (*.f64 y x)))) 2) (cbrt.f64 (/.f64 1/2 (/.f64 a (*.f64 y x)))) (*.f64 t (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a)))) 2) (cbrt.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (/.f64 1/2 (/.f64 a (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1/2 (/.f64 a (*.f64 y x)))) (sqrt.f64 (/.f64 1/2 (/.f64 a (*.f64 y x)))) (*.f64 t (*.f64 -9/2 (/.f64 z a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (sqrt.f64 (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (/.f64 1/2 (/.f64 a (*.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -9/2 (/.f64 t a)) z (/.f64 1/2 (/.f64 a (*.f64 y x))))))))

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

simplify77.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1135×	`fma-def_binary64`
562×	`fma-neg_binary64`
388×	`associate-/l*_binary64`
273×	`div-sub_binary64`
217×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	1440
1	61	1440
2	136	1440
3	274	1440
4	483	1296
5	859	1296
6	1652	1296
7	2591	1296
8	4496	1296

Stop Event

1×	node limit

Counts

221 → 134

Calls

Call 1

Inputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 -9/2 (.f64 t z)) (.f64 1/2 (.f64 y x))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(/.f64 (+.f64 (.f64 1/2 (.f64 y x)) (.f64 -9/2 (.f64 t z))) a)
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 -1 (/.f64 (+.f64 (.f64 9/2 (.f64 t z)) (.f64 -1/2 (*.f64 y x))) a))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(.f64 1/2 (/.f64 (.f64 y x) a))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))

Outputs
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(.f64 -9/2 (/.f64 (.f64 t z) a))
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
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(.f64 -9/2 (/.f64 (.f64 t z) a))
(*.f64 -9/2 (/.f64 t (/.f64 a z)))
(*.f64 (/.f64 -9/2 (/.f64 a z)) t)
(/.f64 t (/.f64 (/.f64 a z) -9/2))
(*.f64 z (/.f64 -9/2 (/.f64 a t)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
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(/.f64 1/2 (/.f64 (/.f64 a y) x))
(.f64 1/2 (.f64 y (/.f64 x a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
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(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(.f64 1/2 (/.f64 (.f64 y x) a))
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(/.f64 1/2 (/.f64 (/.f64 a y) x))
(.f64 1/2 (.f64 y (/.f64 x a)))
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)
(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (*.f64 1/2 (/.f64 y (/.f64 a x))))
(fma.f64 -9/2 (/.f64 t (/.f64 a z)) (.f64 1/2 (/.f64 (.f64 y x) a)))
(fma.f64 -9/2 (*.f64 z (/.f64 t a)) (/.f64 1/2 (/.f64 (/.f64 a y) x)))
(/.f64 (fma.f64 -9/2 (.f64 t z) (.f64 y (*.f64 1/2 x))) a)
(/.f64 (fma.f64 1/2 (.f64 y x) (.f64 -9/2 (*.f64 t z))) a)

prune134.0ms (2.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	174	3	177
Fresh	4	3	7
Picked	0	1	1
Done	1	1	2
Total	179	8	187

Error

Counts

187 → 8

Alt Table

Status	Error	Program
	33.9b	(/.f64 1/2 (/.f64 (/.f64 a y) x))
✓	6.8b	(+.f64 (/.f64 (.f64 t -9/2) (/.f64 a z)) (.f64 1/2 (/.f64 (*.f64 y x) a)))
✓	8.3b	(.f64 (fma.f64 t (.f64 z -9/2) (.f64 x (.f64 y 1/2))) (/.f64 1 a))
	10.5b	(fma.f64 (.f64 (/.f64 y a) x) 1/2 (/.f64 -9/2 (/.f64 a (.f64 t z))))
	6.7b	(+.f64 (/.f64 (.f64 t -9/2) (/.f64 a z)) (/.f64 (.f64 y 1/2) (/.f64 a x)))
	7.7b	(fma.f64 (.f64 -9/2 (/.f64 t a)) z (/.f64 1/2 (/.f64 a (.f64 y x))))
	8.4b	(fma.f64 1/2 (.f64 (/.f64 y a) x) (.f64 t (*.f64 -9/2 (/.f64 z a))))
	10.9b	(+.f64 (.f64 -9/2 (/.f64 (.f64 t z) a)) (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 y a) x)) 3)))

Compiler

Compiled 3821 to 1881 computations (50.8% saved)

regimes1.7s (26.9%)

Accuracy

Total 0.7b remaining (97.6%)

Threshold costs 0.7b (97.6%)

Counts

62 → 5

Compiler

Compiled 1068 to 609 computations (43% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))

Steps

Iters	Point		Range
1e+210	∈ [	7.796409421966707e+209	,	1.0709075276885716e+217	]
1e-313	∈ [	5.595727614e-314	,	2.771164913168986e-211	]
-1e-180	∈ [	-1.2980063899991315e-180	,	-7.891384663310551e-185	]
-1e+170	∈ [	-1.6891056487138546e+170	,	-2.3750906633683805e+166	]

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
6×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-rgt-neg-in_binary64`
4×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	168
1	61	168
2	80	168
3	88	168
4	94	168
5	96	168

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872) (fma.f64 1/2 (*.f64 (/.f64 y a) x) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 331615851823104/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (fma.f64 1/2 (*.f64 (/.f64 y a) x) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (+.f64 (/.f64 (*.f64 t -9/2) (/.f64 a z)) (/.f64 (*.f64 y 1/2) (/.f64 a x)))))))

Outputs

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872) (fma.f64 1/2 (*.f64 (/.f64 y a) x) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 331615851823104/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (fma.f64 1/2 (*.f64 (/.f64 y a) x) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (+.f64 (/.f64 (*.f64 t -9/2) (/.f64 a z)) (/.f64 (*.f64 y 1/2) (/.f64 a x)))))))

(if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -100000000000000003441905430931245280917713770297417747470693647675065097962631447553892265814744827318497179085147422915077831721209019419643357959500300321574675254607872) (fma.f64 1/2 (*.f64 x (/.f64 y a)) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) -583992399055641/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 20240225331/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784) (fma.f64 1/2 (*.f64 x (/.f64 y a)) (*.f64 t (*.f64 -9/2 (/.f64 z a)))) (if (<=.f64 (-.f64 (*.f64 x y) (*.f64 (*.f64 z 9) t)) 999999999999999927113782419344605574598668153294882673458925392487194643703632279098558059466181044478400725843812838336795121561031396504666917998514458446354143529431921823271795036250068185162804696593727488) (/.f64 (fma.f64 t (*.f64 z -9/2) (*.f64 x (/.f64 y 2))) a) (+.f64 (/.f64 (*.f64 t -9/2) (/.f64 a z)) (/.f64 (*.f64 y 1/2) (/.f64 a x)))))))

end185.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 871 to 527 computations (39.5% saved)

Details

analyze1.7s (28%)

sample1.6s (24.9%)

preprocess33.0ms (0.5%)

simplify33.0ms (0.5%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series19.0ms (0.3%)

rewrite55.0ms (0.9%)

simplify59.0ms (0.9%)

prune64.0ms (1%)

localize11.0ms (0.2%)

series8.0ms (0.1%)

rewrite54.0ms (0.9%)

simplify55.0ms (0.9%)

prune60.0ms (1%)

localize10.0ms (0.2%)

series25.0ms (0.4%)

rewrite69.0ms (1.1%)

simplify44.0ms (0.7%)

prune138.0ms (2.2%)

localize12.0ms (0.2%)

series10.0ms (0.2%)

rewrite79.0ms (1.3%)

simplify77.0ms (1.2%)

prune134.0ms (2.2%)

regimes1.7s (26.9%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

end185.0ms (3%)

Profiling