Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.2s (36.9%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess76.0ms (2.3%)

Algorithm

2×	egg-herbie

Rules

956×	`rational_best-simplify-111`
804×	`rational_best-simplify-61`
786×	`rational_best-simplify-96`
734×	`rational_best-simplify-65`
484×	`rational_best-simplify-113`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	133
1	65	133
2	344	133
3	2128	133
0	4	4
1	4	4

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3
1

Call 2

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 d (+.f64 a c)))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 b (+.f64 c (+.f64 a d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 c (+.f64 a (+.f64 b d)))
(*.f64 c (+.f64 b (+.f64 a d)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))

Symmetry

(sort b c d)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

996×	`rational_best-simplify-96`
918×	`rational_best-simplify-61`
840×	`rational_best-simplify-65`
592×	`rational_best-simplify-3`
476×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	17	19
2	82	19
3	440	19
4	2748	19

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 d c)))
(*.f64 a (+.f64 b (+.f64 c d)))

eval1.0ms (0%)

Compiler: Compiled 25 to 13 computations (48% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 11 to 7 computations (36.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 b c) d)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))

Compiler

Compiled 23 to 7 computations (69.6% saved)

series4.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	b	@	-inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	a	@	-inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	a	@	0	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	a	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))
0.0ms	b	@	inf	(*.f64 a (+.f64 (+.f64 b c) d))

rewrite74.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational_best-simplify-96`
910×	`rational_best-simplify-61`
840×	`rational_best-simplify-65`
592×	`rational_best-simplify-3`
474×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	17	32
2	82	32
3	440	32
4	2751	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (+.f64 b c) d)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 (+.f64 b c) d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a d) (.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 b c)) (.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 c d)) (.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 b d)) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a b) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a d) (neg.f64 (.f64 a (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (+.f64 b c)) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (+.f64 c d)) (.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (+.f64 b d)) (.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (+.f64 (+.f64 b c) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 a d) (.f64 a (+.f64 b c))) 0) (/.f64 (-.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c)))) (-.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 a (+.f64 b c))) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a d) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 a (+.f64 b c)) (.f64 a d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a (+.f64 b c)) (.f64 a d))) (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (+.f64 b c)) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 b (-.f64 (neg.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 c (-.f64 (neg.f64 b) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b c) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 d (-.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 b c) d) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 c d) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b d) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 1 (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)))) (+.f64 (-.f64 1 (+.f64 (+.f64 b c) d)) (-.f64 1 (+.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 d (+.f64 b c)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 c d)) (.f64 b b)) (neg.f64 b)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) c) 0) (/.f64 (.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 d 0) (/.f64 (.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b (-.f64 c d)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 d) 0) (/.f64 (.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 c) 0) (/.f64 (-.f64 (.f64 (neg.f64 c) (+.f64 b d)) (.f64 c c)) (neg.f64 c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b c) 0) (/.f64 (.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))) 0) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 c d) b) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 b b)) (-.f64 (+.f64 c d) b)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 b d) c) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 c c)) (-.f64 (+.f64 b d) c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (neg.f64 (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (neg.f64 b) (+.f64 c d))) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 c d) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 (neg.f64 b) (+.f64 c d))) (+.f64 c d)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b d) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 (neg.f64 c) (+.f64 b d))) (+.f64 b d)) (+.f64 (+.f64 b c) d))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) (*.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 b d)) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a b) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a d) (neg.f64 (*.f64 a (+.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 b c)) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 c d)) (*.f64 a (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 b d)) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c))) 0) (/.f64 (-.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c)))) (-.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))) (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 a (+.f64 b c))) 0) (/.f64 (*.f64 (*.f64 a (+.f64 (+.f64 b c) d)) (*.f64 a (+.f64 b c))) (*.f64 a (+.f64 b c))) (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a d) 0) (/.f64 (+.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))) (*.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d)) 0) (/.f64 (-.f64 (*.f64 (*.f64 a (+.f64 b c)) (*.f64 a (+.f64 b c))) (*.f64 (*.f64 a d) (*.f64 a d))) (-.f64 (*.f64 a (+.f64 b c)) (*.f64 a d))) (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (neg.f64 d)) 0) (/.f64 (+.f64 (*.f64 (*.f64 a d) (*.f64 a d)) (*.f64 (*.f64 a d) (*.f64 a (+.f64 b c)))) (*.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (+.f64 b c)) 0) (/.f64 (*.f64 (*.f64 a (+.f64 (+.f64 b c) d)) (*.f64 a (+.f64 b c))) (*.f64 a (+.f64 b c))) (*.f64 a (+.f64 (+.f64 b c) d)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 b (-.f64 (neg.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 c (-.f64 (neg.f64 b) d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b c) (neg.f64 d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 d (-.f64 (neg.f64 b) c))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 b c) d) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 c d) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 b d) (neg.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (+.f64 b c) d) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 1 (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (+.f64 (+.f64 b c) d) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (+.f64 (+.f64 b c) d) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)))) (+.f64 (-.f64 1 (+.f64 (+.f64 b c) d)) (-.f64 1 (+.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 b c) d) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 b) (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 d (+.f64 b c)) 0) (/.f64 (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 b) 0) (/.f64 (-.f64 (*.f64 (neg.f64 b) (+.f64 c d)) (*.f64 b b)) (neg.f64 b)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 d 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b (-.f64 c d)) 0) (/.f64 (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 d) 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 c) 0) (/.f64 (-.f64 (*.f64 (neg.f64 c) (+.f64 b d)) (*.f64 c c)) (neg.f64 c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))) 0) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 c d) b) 0) (/.f64 (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 b b)) (-.f64 (+.f64 c d) b)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (+.f64 b d) c) 0) (/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (*.f64 c c)) (-.f64 (+.f64 b d) c)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (-.f64 (*.f64 0 (-.f64 (neg.f64 b) (+.f64 c d))) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 c d) 0) (/.f64 (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 (neg.f64 b) (+.f64 c d))) (+.f64 c d)) (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 b d) 0) (/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (*.f64 (neg.f64 c) (+.f64 b d))) (+.f64 b d)) (+.f64 (+.f64 b c) d))))))

simplify97.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1022×	`rational_best-simplify-1`
696×	`rational_best-simplify-21`
692×	`rational_best-simplify-18`
680×	`rational_best-simplify-20`
414×	`rational_best-simplify-124`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	2403
1	1108	2403
2	6830	2403

Stop Event

1×	node limit

Counts

141 → 87

Calls

Call 1

Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 0)
(+.f64 0 (*.f64 a (+.f64 (+.f64 b c) d)))
(+.f64 (.f64 a d) (.f64 a (+.f64 b c)))
(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(+.f64 (.f64 a (+.f64 b d)) (.f64 a c))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(-.f64 0 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))
(-.f64 (.f64 a d) (neg.f64 (.f64 a (+.f64 b c))))
(-.f64 (.f64 a (+.f64 b c)) (.f64 a (neg.f64 d)))
(-.f64 (.f64 a (+.f64 c d)) (.f64 a (neg.f64 b)))
(-.f64 (.f64 a (+.f64 b d)) (.f64 a (neg.f64 c)))
(/.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 1)
(/.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) -1)
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a))) -2)
(neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))
(if (!=.f64 (-.f64 (.f64 a d) (.f64 a (+.f64 b c))) 0) (/.f64 (-.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c)))) (-.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (neg.f64 (.f64 a (+.f64 b c))) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 a d) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (-.f64 (.f64 a (+.f64 b c)) (.f64 a d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a (+.f64 b c)) (.f64 a d))) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 a (+.f64 b c)) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))
(-.f64 b (-.f64 (neg.f64 c) d))
(-.f64 c (-.f64 (neg.f64 b) d))
(-.f64 (+.f64 b c) (neg.f64 d))
(-.f64 d (-.f64 (neg.f64 b) c))
(-.f64 (+.f64 (+.f64 b c) d) 0)
(-.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))
(-.f64 (+.f64 c d) (neg.f64 b))
(-.f64 (+.f64 b d) (neg.f64 c))
(*.f64 (+.f64 (+.f64 b c) d) 1)
(*.f64 -1 (-.f64 (neg.f64 b) (+.f64 c d)))
(*.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)
(/.f64 (+.f64 (+.f64 b c) d) 1)
(/.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)
(/.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) -2)
(/.f64 (-.f64 (+.f64 (+.f64 b c) d) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 1 (+.f64 (+.f64 b c) d)))
(/.f64 (+.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)) 2)
(/.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d))) -4)
(/.f64 (+.f64 (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)))) (+.f64 (-.f64 1 (+.f64 (+.f64 b c) d)) (-.f64 1 (+.f64 (+.f64 b c) d))))
(pow.f64 (+.f64 (+.f64 b c) d) 1)
(neg.f64 (-.f64 (neg.f64 b) (+.f64 c d)))
(if (!=.f64 (-.f64 d (+.f64 b c)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 c d)) (.f64 b b)) (neg.f64 b)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (neg.f64 b) c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))
(if (!=.f64 d 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))
(if (!=.f64 (+.f64 b (-.f64 c d)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))
(if (!=.f64 (neg.f64 d) 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))
(if (!=.f64 (neg.f64 c) 0) (/.f64 (-.f64 (.f64 (neg.f64 c) (+.f64 b d)) (.f64 c c)) (neg.f64 c)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (+.f64 b c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))) 0) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (+.f64 c d) b) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 b b)) (-.f64 (+.f64 c d) b)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (+.f64 b d) c) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 c c)) (-.f64 (+.f64 b d) c)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (neg.f64 b) (+.f64 c d))) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))
(if (!=.f64 (+.f64 c d) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 (neg.f64 b) (+.f64 c d))) (+.f64 c d)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (+.f64 b d) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 (neg.f64 c) (+.f64 b d))) (+.f64 b d)) (+.f64 (+.f64 b c) d))

Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 c d)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
b
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 d b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
c
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c b)
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
d
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 c (+.f64 d b))
(+.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 0)
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 0 (*.f64 a (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a d) (.f64 a (+.f64 b c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 b c)) (.f64 a d))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c d)) (.f64 a b))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 b d)) (.f64 a c))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 0 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (.f64 a d) (neg.f64 (.f64 a (+.f64 b c))))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (.f64 a (+.f64 b c)) (.f64 a (neg.f64 d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (.f64 a (+.f64 c d)) (.f64 a (neg.f64 b)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 (.f64 a (+.f64 b d)) (.f64 a (neg.f64 c)))
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 a (+.f64 (+.f64 b c) d)) 1)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) -1)
(*.f64 a (+.f64 c (+.f64 d b)))
(/.f64 (+.f64 (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)) (.f64 (+.f64 (+.f64 b c) d) (neg.f64 a))) -2)
(*.f64 a (+.f64 c (+.f64 d b)))
(neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (neg.f64 a)))
(*.f64 a (+.f64 c (+.f64 d b)))
(if (!=.f64 (-.f64 (.f64 a d) (.f64 a (+.f64 b c))) 0) (/.f64 (-.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c)))) (-.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (*.f64 a (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(if (!=.f64 (neg.f64 (.f64 a (+.f64 b c))) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 (+.f64 c b) (neg.f64 a)) 0) (/.f64 (.f64 (.f64 a (+.f64 c (+.f64 d b))) (.f64 a (+.f64 c b))) (.f64 a (+.f64 c b))) (.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 a (neg.f64 (+.f64 c b))) 0) (/.f64 (.f64 (+.f64 c b) (.f64 (.f64 a (+.f64 c (+.f64 d b))) a)) (.f64 a (+.f64 c b))) (.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 a d) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 d (.f64 (.f64 d a) a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (-.f64 (.f64 a (+.f64 b c)) (.f64 a d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (+.f64 b c)) (.f64 a (+.f64 b c))) (.f64 (.f64 a d) (.f64 a d))) (-.f64 (.f64 a (+.f64 b c)) (.f64 a d))) (*.f64 a (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (+.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 (.f64 a d) (.f64 a (+.f64 b c)))) (.f64 a d)) (*.f64 a (+.f64 (+.f64 b c) d)))
(if (!=.f64 (.f64 d (neg.f64 a)) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 d (neg.f64 a)) 0) (/.f64 (+.f64 (.f64 d (.f64 (.f64 d a) a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 a (+.f64 b c)) 0) (/.f64 (.f64 (.f64 a (+.f64 (+.f64 b c) d)) (.f64 a (+.f64 b c))) (.f64 a (+.f64 b c))) (.f64 a (+.f64 (+.f64 b c) d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(-.f64 b (-.f64 (neg.f64 c) d))
(+.f64 c (+.f64 d b))
(-.f64 c (-.f64 (neg.f64 b) d))
(+.f64 c (+.f64 d b))
(-.f64 (+.f64 b c) (neg.f64 d))
(+.f64 c (+.f64 d b))
(-.f64 d (-.f64 (neg.f64 b) c))
(+.f64 c (+.f64 d b))
(-.f64 (+.f64 (+.f64 b c) d) 0)
(+.f64 c (+.f64 d b))
(-.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))
(+.f64 c (+.f64 d b))
(-.f64 (+.f64 c d) (neg.f64 b))
(+.f64 c (+.f64 d b))
(-.f64 (+.f64 b d) (neg.f64 c))
(+.f64 c (+.f64 d b))
(*.f64 (+.f64 (+.f64 b c) d) 1)
(+.f64 c (+.f64 d b))
(*.f64 -1 (-.f64 (neg.f64 b) (+.f64 c d)))
(+.f64 c (+.f64 d b))
(*.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)
(+.f64 c (+.f64 d b))
(/.f64 (+.f64 (+.f64 b c) d) 1)
(+.f64 c (+.f64 d b))
(/.f64 (-.f64 (neg.f64 b) (+.f64 c d)) -1)
(+.f64 c (+.f64 d b))
(/.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) -2)
(+.f64 c (+.f64 d b))
(/.f64 (-.f64 (+.f64 (+.f64 b c) d) (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 1 (+.f64 (+.f64 b c) d)))
(+.f64 c (+.f64 d b))
(/.f64 (+.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)) 2)
(+.f64 c (+.f64 d b))
(/.f64 (+.f64 (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d)) (-.f64 (-.f64 (neg.f64 b) (+.f64 c d)) (+.f64 (+.f64 b c) d))) -4)
(+.f64 c (+.f64 d b))
(/.f64 (+.f64 (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (+.f64 (+.f64 b c) d) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d)))) (+.f64 (-.f64 1 (+.f64 (+.f64 b c) d)) (-.f64 1 (+.f64 (+.f64 b c) d))))
(+.f64 c (+.f64 d b))
(pow.f64 (+.f64 (+.f64 b c) d) 1)
(+.f64 c (+.f64 d b))
(neg.f64 (-.f64 (neg.f64 b) (+.f64 c d)))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 d (+.f64 b c)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (neg.f64 b) 0) (/.f64 (-.f64 (.f64 (neg.f64 b) (+.f64 c d)) (.f64 b b)) (neg.f64 b)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 (neg.f64 b) c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))
(if (!=.f64 (-.f64 (neg.f64 b) c) 0) (/.f64 (*.f64 (+.f64 c b) (+.f64 c (+.f64 d b))) (+.f64 c b)) (+.f64 c (+.f64 d b)))
(if (!=.f64 (neg.f64 (+.f64 c b)) 0) (/.f64 (*.f64 (+.f64 c b) (+.f64 c (+.f64 d b))) (+.f64 c b)) (+.f64 c (+.f64 d b)))
(if (!=.f64 d 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (+.f64 b (-.f64 c d)) 0) (/.f64 (-.f64 (.f64 d d) (.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c))) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (neg.f64 d) 0) (/.f64 (*.f64 d (+.f64 (+.f64 b c) d)) d) (+.f64 (+.f64 b c) d))
(if (!=.f64 (neg.f64 d) 0) (/.f64 (*.f64 d (+.f64 c (+.f64 d b))) d) (+.f64 c (+.f64 d b)))
(if (!=.f64 (neg.f64 c) 0) (/.f64 (-.f64 (.f64 (neg.f64 c) (+.f64 b d)) (.f64 c c)) (neg.f64 c)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (+.f64 b c) 0) (/.f64 (*.f64 (+.f64 b c) (+.f64 (+.f64 b c) d)) (+.f64 b c)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (-.f64 (neg.f64 b) (+.f64 c d)))) 0) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 (+.f64 c d) b) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 b b)) (-.f64 (+.f64 c d) b)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 (+.f64 b d) c) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 c c)) (-.f64 (+.f64 b d) c)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (-.f64 (neg.f64 b) (+.f64 c d)) 0) (/.f64 (-.f64 (.f64 0 (-.f64 (neg.f64 b) (+.f64 c d))) (.f64 (+.f64 (+.f64 b c) d) (+.f64 (+.f64 b c) d))) (-.f64 (neg.f64 b) (+.f64 c d))) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (+.f64 c d) 0) (/.f64 (-.f64 (.f64 (+.f64 c d) (+.f64 c d)) (.f64 (neg.f64 b) (+.f64 c d))) (+.f64 c d)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))
(if (!=.f64 (+.f64 b d) 0) (/.f64 (-.f64 (.f64 (+.f64 b d) (+.f64 b d)) (.f64 (neg.f64 c) (+.f64 b d))) (+.f64 b d)) (+.f64 (+.f64 b c) d))
(+.f64 c (+.f64 d b))

eval11.0ms (0.3%)

Compiler: Compiled 1495 to 316 computations (78.9% saved)

prune32.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	5	88

Error

0.0b

Counts

88 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.3b	(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
▶	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
▶	4.1b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
▶	0.1b	(*.f64 a (+.f64 c d))

Compiler

Compiled 78 to 43 computations (44.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 c d))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(*.f64 a (+.f64 c d))
0.0ms	a	@	0	(*.f64 a (+.f64 c d))
0.0ms	a	@	-inf	(*.f64 a (+.f64 c d))
0.0ms	c	@	inf	(*.f64 a (+.f64 c d))
0.0ms	c	@	-inf	(*.f64 a (+.f64 c d))

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`rational_best-simplify-113`
526×	`rational_best-simplify-111`
514×	`rational_best-simplify-124`
510×	`rational_best-simplify-96`
498×	`rational_best-simplify-117`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	45	13
3	239	13
4	1404	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 a (+.f64 c d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 c d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a d) (.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a c) (.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (+.f64 c d)) (.f64 (neg.f64 a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a d) (neg.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a c) (.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (neg.f64 a) 0) (.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (-.f64 (neg.f64 c) d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a (+.f64 c d)) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (-.f64 d c)) 0) (/.f64 (.f64 a (-.f64 (.f64 d (.f64 a d)) (.f64 c (.f64 a c)))) (.f64 a (-.f64 d c))) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 a c)) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 a c) (.f64 a d)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 d (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d))) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a c) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) 0) (/.f64 (-.f64 0 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0)) (.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 a (-.f64 (neg.f64 c) d))) (*.f64 a (+.f64 c d)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (+.f64 c d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a d) (*.f64 a c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a c) (*.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 c d)) (*.f64 (neg.f64 a) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a d) (neg.f64 (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a c) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 (neg.f64 c) d)) (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 a) 0) (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (-.f64 (neg.f64 c) d))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (+.f64 c d)) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 d c)) 0) (/.f64 (*.f64 a (-.f64 (*.f64 d (*.f64 a d)) (*.f64 c (*.f64 a c)))) (*.f64 a (-.f64 d c))) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (*.f64 a c)) 0) (/.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a c)) (*.f64 a c)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a d) 0) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (+.f64 c d))) (*.f64 a d)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 a c) (*.f64 a d)) 0) (/.f64 (*.f64 a (-.f64 (*.f64 c (*.f64 a c)) (*.f64 d (*.f64 a d)))) (-.f64 (*.f64 a c) (*.f64 a d))) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a c) 0) (/.f64 (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a c)) (*.f64 a c)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (neg.f64 d)) 0) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (+.f64 c d))) (*.f64 a d)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 a (-.f64 (neg.f64 c) d)) 0) 0) (/.f64 (-.f64 0 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (-.f64 (neg.f64 c) d)))) (+.f64 (*.f64 a (-.f64 (neg.f64 c) d)) 0)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (-.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) 0) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (-.f64 (neg.f64 c) d)))) (*.f64 a (-.f64 (neg.f64 c) d))) (*.f64 a (+.f64 c d)))))))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

874×	`rational_best-simplify-61`
872×	`rational_best-simplify-96`
830×	`rational_best-simplify-65`
750×	`rational_best-simplify-3`
626×	`rational_best-simplify-110`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	731
1	484	731
2	3254	731

Stop Event

1×	node limit

Counts

59 → 29

Calls

Call 1

Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (*.f64 a (+.f64 c d)) 0)
(+.f64 0 (*.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(+.f64 (.f64 a c) (.f64 a d))
(-.f64 (.f64 a (+.f64 c d)) (.f64 (neg.f64 a) 0))
(-.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))
(-.f64 (.f64 a d) (neg.f64 (.f64 a c)))
(-.f64 (.f64 a c) (.f64 a (neg.f64 d)))
(-.f64 (.f64 0 (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))
(-.f64 (.f64 (neg.f64 a) 0) (.f64 a (-.f64 (neg.f64 c) d)))
(/.f64 (*.f64 a (+.f64 c d)) 1)
(/.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)
(/.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d))) -2)
(/.f64 (-.f64 (.f64 a (+.f64 c d)) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (*.f64 a (+.f64 c d))))
(neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))
(if (!=.f64 (.f64 a (-.f64 d c)) 0) (/.f64 (.f64 a (-.f64 (.f64 d (.f64 a d)) (.f64 c (.f64 a c)))) (.f64 a (-.f64 d c))) (.f64 a (+.f64 c d)))
(if (!=.f64 (neg.f64 (.f64 a c)) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (-.f64 (.f64 a c) (.f64 a d)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 d (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d))) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a c) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) 0) (/.f64 (-.f64 0 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 a (-.f64 (neg.f64 c) d))) (.f64 a (+.f64 c d)))

Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (*.f64 a (+.f64 c d)) 0)
(*.f64 (+.f64 c d) a)
(+.f64 0 (*.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a c) (.f64 a d))
(*.f64 (+.f64 c d) a)
(-.f64 (.f64 a (+.f64 c d)) (.f64 (neg.f64 a) 0))
(*.f64 (+.f64 c d) a)
(-.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 (+.f64 c d) a)
(-.f64 (.f64 a d) (neg.f64 (.f64 a c)))
(*.f64 (+.f64 c d) a)
(-.f64 (.f64 a c) (.f64 a (neg.f64 d)))
(*.f64 (+.f64 c d) a)
(-.f64 (.f64 0 (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 (+.f64 c d) a)
(-.f64 (.f64 (neg.f64 a) 0) (.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (+.f64 c d)) 1)
(*.f64 (+.f64 c d) a)
(/.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)
(*.f64 (+.f64 c d) a)
(/.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d))) -2)
(*.f64 (+.f64 c d) a)
(/.f64 (-.f64 (.f64 a (+.f64 c d)) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (*.f64 a (+.f64 c d))))
(*.f64 (+.f64 c d) a)
(neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (.f64 a (-.f64 d c)) 0) (/.f64 (.f64 a (-.f64 (.f64 d (.f64 a d)) (.f64 c (.f64 a c)))) (.f64 a (-.f64 d c))) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (neg.f64 (.f64 a c)) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (-.f64 (.f64 a c) (.f64 a d)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 d (.f64 a d)))) (-.f64 (.f64 a c) (.f64 a d))) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (.f64 a c) 0) (/.f64 (.f64 (.f64 a (+.f64 c d)) (.f64 a c)) (.f64 a c)) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (.f64 (.f64 a d) (.f64 a (+.f64 c d))) (.f64 a d)) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) 0) (/.f64 (-.f64 0 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (+.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0)) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)
(if (!=.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 a (-.f64 (neg.f64 c) d))) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c d) a)

localize4.0ms (0.1%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Compiler

Compiled 28 to 8 computations (71.4% saved)

series5.0ms (0.1%)

Counts

1 → 39

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
1.0ms	a	@	inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
0.0ms	a	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
0.0ms	d	@	0	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
0.0ms	c	@	inf	(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

rewrite64.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational_best-simplify-96`
912×	`rational_best-simplify-61`
838×	`rational_best-simplify-65`
798×	`rational_best-simplify-3`
496×	`rational_best-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	19	25
2	81	23
3	450	19
4	2842	19

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 d b) a) (*.f64 a (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a c) (*.f64 (+.f64 d b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a c) (*.f64 d a)) (*.f64 b (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 a c) (*.f64 b a)) (*.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 (+.f64 d b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (-.f64 (-.f64 (neg.f64 d) b) c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (neg.f64 d) b) c) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 d b) c) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (*.f64 a (+.f64 (+.f64 d b) c))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 1 (*.f64 a (+.f64 (+.f64 d b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (*.f64 a (+.f64 (+.f64 d b) c))) (-.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (*.f64 a (+.f64 (+.f64 d b) c)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c))))) (+.f64 (-.f64 1 (*.f64 a (+.f64 (+.f64 d b) c))) (-.f64 1 (*.f64 a (+.f64 (+.f64 d b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 c (+.f64 d b))) 0) (/.f64 (*.f64 a (-.f64 (*.f64 c (*.f64 a c)) (*.f64 (+.f64 d b) (*.f64 (+.f64 d b) a)))) (*.f64 a (-.f64 c (+.f64 d b)))) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 d b) (neg.f64 a)) 0) (/.f64 (*.f64 (*.f64 (+.f64 d b) a) (*.f64 a (+.f64 (+.f64 d b) c))) (*.f64 (+.f64 d b) a)) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a c) 0) (/.f64 (*.f64 (*.f64 a c) (*.f64 a (+.f64 (+.f64 d b) c))) (*.f64 a c)) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (-.f64 c (+.f64 d b)) (neg.f64 a)) 0) (/.f64 (*.f64 a (-.f64 (*.f64 c (*.f64 a c)) (*.f64 (+.f64 d b) (*.f64 (+.f64 d b) a)))) (*.f64 a (-.f64 c (+.f64 d b)))) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (+.f64 d b) a) 0) (/.f64 (*.f64 (*.f64 (+.f64 d b) a) (*.f64 a (+.f64 (+.f64 d b) c))) (*.f64 (+.f64 d b) a)) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (neg.f64 c)) 0) (/.f64 (*.f64 (*.f64 a c) (*.f64 a (+.f64 (+.f64 d b) c))) (*.f64 a c)) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))) 0) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (neg.f64 (*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c)))) (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (*.f64 a (+.f64 (+.f64 d b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (-.f64 (*.f64 0 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (*.f64 (*.f64 a (+.f64 (+.f64 d b) c)) (*.f64 a (+.f64 (+.f64 d b) c)))) (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (*.f64 a (+.f64 (+.f64 d b) c)))))))

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-61`
1044×	`rational_best-simplify-65`
966×	`rational_best-simplify-3`
644×	`rational_best-simplify-53`
554×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	115	1984
1	588	1240
2	3669	1240

Stop Event

1×	node limit

Counts

70 → 49

Calls

Call 1

Inputs
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(*.f64 (+.f64 d b) a)
(*.f64 c a)
(*.f64 c a)
(-.f64 (.f64 (+.f64 d b) a) (.f64 a (neg.f64 c)))
(-.f64 (.f64 a c) (.f64 (+.f64 d b) (neg.f64 a)))
(-.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 0)
(-.f64 0 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(-.f64 (+.f64 (.f64 a c) (.f64 d a)) (*.f64 b (neg.f64 a)))
(-.f64 (+.f64 (.f64 a c) (.f64 b a)) (*.f64 d (neg.f64 a)))
(*.f64 a (+.f64 (+.f64 d b) c))
(.f64 (.f64 a (+.f64 (+.f64 d b) c)) 1)
(.f64 -1 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(*.f64 (neg.f64 a) (-.f64 (-.f64 (neg.f64 d) b) c))
(.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)
(*.f64 (-.f64 (-.f64 (neg.f64 d) b) c) (neg.f64 a))
(*.f64 (+.f64 (+.f64 d b) c) a)
(/.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(/.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)
(/.f64 (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c))) -2)
(/.f64 (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 1 (*.f64 a (+.f64 (+.f64 d b) c))))
(/.f64 (+.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c))) 2)
(/.f64 (+.f64 (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c))) (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) -4)
(/.f64 (+.f64 (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c))))) (+.f64 (-.f64 1 (.f64 a (+.f64 (+.f64 d b) c))) (-.f64 1 (.f64 a (+.f64 (+.f64 d b) c)))))
(pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(neg.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(if (!=.f64 (.f64 a (-.f64 c (+.f64 d b))) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 (+.f64 d b) (.f64 (+.f64 d b) a)))) (.f64 a (-.f64 c (+.f64 d b)))) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 (+.f64 d b) (neg.f64 a)) 0) (/.f64 (.f64 (.f64 (+.f64 d b) a) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 (+.f64 d b) a)) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 a c) 0) (/.f64 (.f64 (.f64 a c) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 a c)) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 (-.f64 c (+.f64 d b)) (neg.f64 a)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 (+.f64 d b) (.f64 (+.f64 d b) a)))) (.f64 a (-.f64 c (+.f64 d b)))) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 (+.f64 d b) a) 0) (/.f64 (.f64 (.f64 (+.f64 d b) a) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 (+.f64 d b) a)) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 a (neg.f64 c)) 0) (/.f64 (.f64 (.f64 a c) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 a c)) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))) 0) (*.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (neg.f64 (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 a (+.f64 (+.f64 d b) c)))
(if (!=.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (-.f64 (.f64 0 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 a (+.f64 (+.f64 d b) c)))

Outputs
(+.f64 (.f64 a b) (.f64 c a))
(+.f64 (.f64 a b) (.f64 a c))
(*.f64 a (+.f64 b c))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a d)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a c) (.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 c) (.f64 -1 (+.f64 d b)))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 b d))
(*.f64 c a)
(*.f64 a c)
(*.f64 c a)
(*.f64 a c)
(-.f64 (.f64 (+.f64 d b) a) (.f64 a (neg.f64 c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 (.f64 a c) (.f64 (+.f64 d b) (neg.f64 a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 0)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 0 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 (+.f64 (.f64 a c) (.f64 d a)) (*.f64 b (neg.f64 a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(-.f64 (+.f64 (.f64 a c) (.f64 b a)) (*.f64 d (neg.f64 a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d b) c))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 (.f64 a (+.f64 (+.f64 d b) c)) 1)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 -1 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (neg.f64 a) (-.f64 (-.f64 (neg.f64 d) b) c))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (-.f64 (-.f64 (neg.f64 d) b) c) (neg.f64 a))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) -1)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c))) -2)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 1 (*.f64 a (+.f64 (+.f64 d b) c))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (+.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c))) 2)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (+.f64 (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c))) (-.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) -4)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(/.f64 (+.f64 (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (-.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c))))) (+.f64 (-.f64 1 (.f64 a (+.f64 (+.f64 d b) c))) (-.f64 1 (.f64 a (+.f64 (+.f64 d b) c)))))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(pow.f64 (*.f64 a (+.f64 (+.f64 d b) c)) 1)
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(neg.f64 (*.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 c (+.f64 d b))) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 (+.f64 d b) (.f64 (+.f64 d b) a)))) (.f64 a (-.f64 c (+.f64 d b)))) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 (+.f64 d b) (neg.f64 a)) 0) (/.f64 (.f64 (.f64 (+.f64 d b) a) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 (+.f64 d b) a)) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 a c) 0) (/.f64 (.f64 (.f64 a c) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 a c)) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 (-.f64 c (+.f64 d b)) (neg.f64 a)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 a c)) (.f64 (+.f64 d b) (.f64 (+.f64 d b) a)))) (.f64 a (-.f64 c (+.f64 d b)))) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 (+.f64 d b) a) 0) (/.f64 (.f64 (.f64 (+.f64 d b) a) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 (+.f64 d b) a)) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 a (neg.f64 c)) 0) (/.f64 (.f64 (.f64 a c) (.f64 a (+.f64 (+.f64 d b) c))) (.f64 a c)) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)))) 0) (*.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (neg.f64 (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c)) 0) (/.f64 (-.f64 (.f64 0 (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 (.f64 a (+.f64 (+.f64 d b) c)) (.f64 a (+.f64 (+.f64 d b) c)))) (.f64 a (-.f64 (-.f64 (neg.f64 d) b) c))) (.f64 a (+.f64 (+.f64 d b) c)))
(+.f64 (.f64 a b) (+.f64 (.f64 a c) (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))

localize23.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 d a) (+.f64 c b))
✓	0.5b	(.f64 (.f64 d a) (*.f64 d a))
✓	0.7b	(.f64 a (.f64 (*.f64 d a) (+.f64 c b)))
✓	5.6b	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))

Compiler

Compiled 130 to 20 computations (84.6% saved)

series39.0ms (1.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
23.0ms	a	@	inf	(.f64 (.f64 d a) (+.f64 c b))
2.0ms	a	@	-inf	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))
1.0ms	a	@	inf	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))
1.0ms	d	@	0	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational_best-simplify-113`
522×	`rational_best-simplify-111`
486×	`rational_best-simplify-3`
452×	`rational_best-simplify-124`
438×	`rational_best-simplify-126`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	124
1	36	124
2	193	116
3	1258	110

Stop Event

1×	node limit

Counts

4 → 52

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))
(.f64 a (.f64 (*.f64 d a) (+.f64 c b)))
(.f64 (.f64 d a) (*.f64 d a))
(.f64 (.f64 d a) (+.f64 c b))

Outputs
()
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 a (.f64 b d))) (neg.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 (.f64 d a) (+.f64 c b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d (.f64 a a)) b) (.f64 (.f64 d (.f64 a a)) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d (.f64 a a)) 0) (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 d (.f64 a c))) (.f64 a (neg.f64 (.f64 a (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d a) (.f64 a c)) (.f64 (.f64 d a) (.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d (.f64 a a)) c) (.f64 (.f64 d (.f64 a a)) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d))))) (.f64 a (.f64 (.f64 d a) (+.f64 c b))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (.f64 (.f64 d a) (.f64 a (neg.f64 c)))) (.f64 a (.f64 (.f64 d a) (+.f64 c b))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 a (.f64 d d))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 a (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 a (.f64 d d))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 a (neg.f64 (.f64 a (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d (neg.f64 a)) 0) (.f64 a (neg.f64 (.f64 a (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (.f64 a (.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a (.f64 a (.f64 d d))) (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d)))))))) (-.f64 1 (.f64 a (.f64 a (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (.f64 a (.f64 d d))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 a (.f64 a (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 d a) (fabs.f64 (.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 d (.f64 (fabs.f64 d) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 d) (.f64 d (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 d (.f64 a a)) (fabs.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 (fabs.f64 d) (.f64 a a)) d))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 (.f64 d a)) (.f64 d a)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) 0) (/.f64 (.f64 a (.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) (.f64 a (.f64 d d)))) (.f64 a (neg.f64 (.f64 a (.f64 d d))))) (.f64 a (.f64 a (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (.f64 a (.f64 d d))) 0) (/.f64 (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d))))))) (.f64 a (.f64 a (.f64 d d)))) (.f64 a (.f64 a (.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (.f64 a (.f64 a (.f64 d d))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d (.f64 a c)) (.f64 a (.f64 b d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 d (.f64 a c)) (neg.f64 (neg.f64 (.f64 a (.f64 b d)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 d a) 0) (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 d (.f64 a c)) (neg.f64 (.f64 a (.f64 b d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 (neg.f64 b) c) 0) (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 a (-.f64 (neg.f64 b) c)) d))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c)))) (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 d (.f64 a (neg.f64 c))) 0) (/.f64 (.f64 (.f64 d (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (+.f64 c b))) (.f64 d (.f64 a (neg.f64 c)))) (.f64 (.f64 d a) (+.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 a (.f64 b d)) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))) (.f64 a (.f64 b d))) (.f64 (.f64 d a) (+.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (.f64 a (.f64 b d))) 0) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (neg.f64 (.f64 a (.f64 b d)))) (.f64 (.f64 d a) (+.f64 c b)))))))

simplify111.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

620×	`rational_best-simplify-113`
608×	`rational_best-simplify-1`
552×	`rational_best-simplify-18`
530×	`rational_best-simplify-20`
386×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	201	5718
1	1119	5300
2	7439	5300

Stop Event

1×	node limit

Counts

220 → 100

Calls

Call 1

Inputs
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 (pow.f64 a 2) (.f64 d b))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (.f64 (pow.f64 a 2) d))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d b))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(.f64 (pow.f64 a 2) (.f64 d b))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(.f64 (pow.f64 a 2) (.f64 d b))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 d b))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 c (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 c (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 c (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 d b))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 d b))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(+.f64 (.f64 a (.f64 a (.f64 b d))) (neg.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c)))))
(-.f64 (.f64 a (.f64 (*.f64 d a) (+.f64 c b))) 0)
(-.f64 0 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))))
(-.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))
(-.f64 (.f64 (.f64 d (.f64 a a)) b) (.f64 (.f64 d (.f64 a a)) (neg.f64 c)))
(-.f64 (.f64 (.f64 d (.f64 a a)) 0) (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))))
(-.f64 (.f64 a (.f64 d (.f64 a c))) (.f64 a (neg.f64 (.f64 a (.f64 b d)))))
(-.f64 (.f64 (.f64 d a) (.f64 a c)) (.f64 (.f64 d a) (.f64 a (neg.f64 b))))
(-.f64 (.f64 (.f64 d (.f64 a a)) c) (.f64 (.f64 d (.f64 a a)) (neg.f64 b)))
(/.f64 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))) -1)
(neg.f64 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))))
(if (!=.f64 (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d))))) (.f64 a (.f64 (*.f64 d a) (+.f64 c b))))
(if (!=.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (.f64 (.f64 d a) (.f64 a (neg.f64 c)))) (.f64 a (.f64 (*.f64 d a) (+.f64 c b))))
(+.f64 (.f64 a (.f64 a (*.f64 d d))) 0)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(-.f64 (.f64 a (.f64 a (*.f64 d d))) 0)
(-.f64 0 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(-.f64 (.f64 (.f64 d (neg.f64 a)) 0) (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(/.f64 (.f64 a (.f64 a (*.f64 d d))) 1)
(/.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))) -1)
(/.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d)) -2)
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 d d))) (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d)))))))) (-.f64 1 (.f64 a (.f64 a (*.f64 d d)))))
(pow.f64 (.f64 a (.f64 a (*.f64 d d))) 1)
(neg.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(fabs.f64 (.f64 a (.f64 a (*.f64 d d))))
(fabs.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(fabs.f64 (.f64 (.f64 d a) (fabs.f64 (*.f64 d a))))
(fabs.f64 (.f64 d (.f64 (fabs.f64 d) (*.f64 a a))))
(fabs.f64 (.f64 (fabs.f64 d) (.f64 d (*.f64 a a))))
(fabs.f64 (.f64 (.f64 d (*.f64 a a)) (fabs.f64 d)))
(fabs.f64 (.f64 (.f64 (fabs.f64 d) (*.f64 a a)) d))
(fabs.f64 (.f64 (fabs.f64 (.f64 d a)) (*.f64 d a)))
(if (!=.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) 0) (/.f64 (.f64 a (.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) (.f64 a (.f64 d d)))) (.f64 a (neg.f64 (.f64 a (.f64 d d))))) (.f64 a (.f64 a (.f64 d d))))
(if (!=.f64 (.f64 a (.f64 a (.f64 d d))) 0) (/.f64 (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d))))))) (.f64 a (.f64 a (.f64 d d)))) (.f64 a (.f64 a (.f64 d d))))
(if (!=.f64 0 0) (/.f64 0 0) (.f64 a (.f64 a (*.f64 d d))))
(+.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))
(+.f64 (.f64 d (.f64 a c)) (.f64 a (.f64 b d)))
(+.f64 (.f64 d (.f64 a c)) (neg.f64 (neg.f64 (.f64 a (.f64 b d)))))
(-.f64 0 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))
(-.f64 (.f64 (.f64 d a) 0) (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(-.f64 (.f64 d (.f64 a c)) (neg.f64 (.f64 a (.f64 b d))))
(-.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a (neg.f64 b))))
(-.f64 (.f64 (-.f64 (neg.f64 b) c) 0) (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c)))
(/.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)) -1)
(neg.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(neg.f64 (.f64 (.f64 a (-.f64 (neg.f64 b) c)) d))
(if (!=.f64 (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c)))) (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))
(if (!=.f64 (.f64 d (.f64 a (neg.f64 c))) 0) (/.f64 (.f64 (.f64 d (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (+.f64 c b))) (.f64 d (.f64 a (neg.f64 c)))) (.f64 (*.f64 d a) (+.f64 c b)))
(if (!=.f64 (.f64 a (.f64 b d)) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))) (.f64 a (.f64 b d))) (.f64 (.f64 d a) (+.f64 c b)))
(if (!=.f64 (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))
(if (!=.f64 (neg.f64 (.f64 a (.f64 b d))) 0) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (neg.f64 (.f64 a (.f64 b d)))) (.f64 (.f64 d a) (+.f64 c b)))

Outputs
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 (pow.f64 a 2) (.f64 d b))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 (pow.f64 a 2) (.f64 b d))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 b (.f64 d (pow.f64 a 2)))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (.f64 (pow.f64 a 2) d))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 (pow.f64 a 2) (.f64 c d))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 d (.f64 c (pow.f64 a 2)))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a d) (.f64 a (+.f64 c b)))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d (+.f64 c b)))
(.f64 (.f64 (+.f64 c b) d) (pow.f64 a 2))
(.f64 (pow.f64 a 2) (.f64 d b))
(.f64 (pow.f64 a 2) (.f64 b d))
(.f64 b (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 d (.f64 c (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 d (.f64 c (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 d (.f64 c (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(.f64 (pow.f64 a 2) (.f64 d b))
(.f64 (pow.f64 a 2) (.f64 b d))
(.f64 b (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(.f64 (pow.f64 a 2) (.f64 d b))
(.f64 (pow.f64 a 2) (.f64 b d))
(.f64 b (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (.f64 (pow.f64 a 2) (.f64 d b)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 b d)) (.f64 (pow.f64 a 2) (.f64 c d)))
(+.f64 (.f64 b (.f64 d (pow.f64 a 2))) (.f64 d (.f64 c (pow.f64 a 2))))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 a d) 2)
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d b))
(.f64 b (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 c (.f64 a d))
(.f64 a (.f64 c d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 c (.f64 a d))
(.f64 a (.f64 c d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 c (.f64 a d))
(.f64 a (.f64 c d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d b))
(.f64 b (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(.f64 a (.f64 d b))
(.f64 b (.f64 a d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 c (.f64 a d)) (.f64 a (.f64 d b)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 a (.f64 a (.f64 b d))) (neg.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c)))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 a (.f64 (*.f64 d a) (+.f64 c b))) 0)
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 0 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 (.f64 d (.f64 a a)) b) (.f64 (.f64 d (.f64 a a)) (neg.f64 c)))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 (.f64 d (.f64 a a)) 0) (.f64 a (.f64 (.f64 d a) (-.f64 (neg.f64 b) c))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 a (.f64 d (.f64 a c))) (.f64 a (neg.f64 (.f64 a (.f64 b d)))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 (.f64 d a) (.f64 a c)) (.f64 (.f64 d a) (.f64 a (neg.f64 b))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(-.f64 (.f64 (.f64 d (.f64 a a)) c) (.f64 (.f64 d (.f64 a a)) (neg.f64 b)))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(/.f64 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))) -1)
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(neg.f64 (.f64 a (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(if (!=.f64 (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 a (.f64 b d))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (+.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d))))) (.f64 a (.f64 (*.f64 d a) (+.f64 c b))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(if (!=.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 a (.f64 a (.f64 b d)))) (.f64 (.f64 (.f64 d a) (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (.f64 a (neg.f64 c))))) (.f64 (.f64 d a) (.f64 a (neg.f64 c)))) (.f64 a (.f64 (*.f64 d a) (+.f64 c b))))
(-.f64 (.f64 a (.f64 b (.f64 a d))) (.f64 (.f64 a d) (.f64 c (neg.f64 a))))
(.f64 (+.f64 c b) (.f64 a (*.f64 a d)))
(+.f64 (.f64 a (.f64 a (*.f64 d d))) 0)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(-.f64 (.f64 a (.f64 a (*.f64 d d))) 0)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(-.f64 0 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(-.f64 (.f64 (.f64 d (neg.f64 a)) 0) (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(/.f64 (.f64 a (.f64 a (*.f64 d d))) 1)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(/.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))) -1)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(/.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d)) -2)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 d d))) (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d)))))))) (-.f64 1 (.f64 a (.f64 a (*.f64 d d)))))
(/.f64 (-.f64 (.f64 a (.f64 a (.f64 d d))) (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 d d)))))))) (-.f64 1 (.f64 a (.f64 a (*.f64 d d)))))
(/.f64 (.f64 a (-.f64 (.f64 d (.f64 a d)) (.f64 a (.f64 d (.f64 a (.f64 d (.f64 d (.f64 a d)))))))) (-.f64 1 (.f64 (.f64 a d) (.f64 a d))))
(pow.f64 (.f64 a (.f64 a (*.f64 d d))) 1)
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(neg.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 a (.f64 a (*.f64 d d))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 a (neg.f64 (.f64 a (*.f64 d d)))))
(fabs.f64 (.f64 a (.f64 (*.f64 d d) (neg.f64 a))))
(fabs.f64 (.f64 (.f64 a (*.f64 a d)) (neg.f64 d)))
(fabs.f64 (.f64 (.f64 d a) (fabs.f64 (*.f64 d a))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 d (.f64 (fabs.f64 d) (*.f64 a a))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 (fabs.f64 d) (.f64 d (*.f64 a a))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 (.f64 d (*.f64 a a)) (fabs.f64 d)))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 (.f64 (fabs.f64 d) (*.f64 a a)) d))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(fabs.f64 (.f64 (fabs.f64 (.f64 d a)) (*.f64 d a)))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(if (!=.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) 0) (/.f64 (.f64 a (.f64 (.f64 a (neg.f64 (.f64 a (.f64 d d)))) (.f64 a (.f64 d d)))) (.f64 a (neg.f64 (.f64 a (.f64 d d))))) (.f64 a (.f64 a (.f64 d d))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(if (!=.f64 (.f64 a (.f64 a (.f64 d d))) 0) (/.f64 (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d d))))))) (.f64 a (.f64 a (.f64 d d)))) (.f64 a (.f64 a (.f64 d d))))
(if (!=.f64 (.f64 a (.f64 a (.f64 d d))) 0) (/.f64 (.f64 a (.f64 d (.f64 a (.f64 a (.f64 d (.f64 a (.f64 d d))))))) (.f64 a (.f64 a (*.f64 d d)))) 0)
(if (!=.f64 (.f64 (.f64 a d) (.f64 a d)) 0) (/.f64 (.f64 (.f64 (.f64 (.f64 a d) (.f64 a d)) (.f64 a d)) (.f64 a d)) (.f64 (.f64 a d) (*.f64 a d))) 0)
(if (!=.f64 0 0) (/.f64 0 0) (.f64 a (.f64 a (*.f64 d d))))
(+.f64 0 (.f64 a (.f64 a (*.f64 d d))))
(.f64 (.f64 a d) (*.f64 a d))
(+.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 d (.f64 a c)) (.f64 a (.f64 b d)))
(.f64 a (.f64 (+.f64 c b) d))
(+.f64 (.f64 d (.f64 a c)) (neg.f64 (neg.f64 (.f64 a (.f64 b d)))))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 0 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 (.f64 (.f64 d a) 0) (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 (.f64 d (.f64 a c)) (neg.f64 (.f64 a (.f64 b d))))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a (neg.f64 b))))
(.f64 a (.f64 (+.f64 c b) d))
(-.f64 (.f64 (-.f64 (neg.f64 b) c) 0) (.f64 (*.f64 d a) (-.f64 (neg.f64 b) c)))
(.f64 a (.f64 (+.f64 c b) d))
(/.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)) -1)
(.f64 a (.f64 (+.f64 c b) d))
(neg.f64 (.f64 (.f64 d a) (-.f64 (neg.f64 b) c)))
(.f64 a (.f64 (+.f64 c b) d))
(neg.f64 (.f64 (.f64 a (-.f64 (neg.f64 b) c)) d))
(.f64 a (.f64 (+.f64 c b) d))
(if (!=.f64 (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c)))) (-.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))
(if (!=.f64 (-.f64 (.f64 b (.f64 a d)) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 b (.f64 a d)) (.f64 (.f64 a d) b)) (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c)))) (-.f64 (.f64 b (.f64 a d)) (.f64 d (.f64 a c)))) (.f64 (+.f64 c b) (.f64 a d)))
(if (!=.f64 (.f64 a (-.f64 (.f64 b d) (.f64 c d))) 0) (/.f64 (-.f64 (.f64 a (.f64 (.f64 c (.f64 a d)) (.f64 c d))) (.f64 a (.f64 (.f64 b (.f64 a d)) (.f64 b d)))) (.f64 a (-.f64 (.f64 c d) (.f64 b d)))) (.f64 a (.f64 (+.f64 c b) d)))
(if (!=.f64 (.f64 d (.f64 a (neg.f64 c))) 0) (/.f64 (.f64 (.f64 d (.f64 a (neg.f64 c))) (.f64 (.f64 d a) (+.f64 c b))) (.f64 d (.f64 a (neg.f64 c)))) (.f64 (*.f64 d a) (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(if (!=.f64 (.f64 a (.f64 b d)) 0) (/.f64 (-.f64 (.f64 (.f64 d a) (.f64 (.f64 a (.f64 b d)) b)) (.f64 (.f64 a (.f64 b d)) (.f64 d (.f64 a (neg.f64 c))))) (.f64 a (.f64 b d))) (.f64 (.f64 d a) (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(if (!=.f64 (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (+.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c)))) (.f64 (.f64 d a) (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))
(if (!=.f64 (neg.f64 (.f64 a (.f64 b d))) 0) (/.f64 (-.f64 (.f64 (neg.f64 (.f64 a (.f64 b d))) (.f64 d (.f64 a c))) (.f64 (neg.f64 (.f64 a (.f64 b d))) (neg.f64 (.f64 a (.f64 b d))))) (neg.f64 (.f64 a (.f64 b d)))) (.f64 (.f64 d a) (+.f64 c b)))
(.f64 a (.f64 (+.f64 c b) d))

eval33.0ms (1%)

Compiler: Compiled 5253 to 1103 computations (79% saved)

prune30.0ms (0.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	175	3	178
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	177	6	183

Error

0.0b

Counts

183 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.8b	(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
▶	5.3b	(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
▶	0.2b	(+.f64 (.f64 c a) (.f64 a d))
✓	4.1b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))

Compiler

Compiled 117 to 65 computations (44.4% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 c a) (.f64 a d))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 27

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	d	@	inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	d	@	-inf	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	0	(+.f64 (.f64 c a) (.f64 a d))
0.0ms	c	@	inf	(+.f64 (.f64 c a) (.f64 a d))

rewrite55.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`rational_best-simplify-111`
528×	`rational_best-simplify-124`
516×	`rational_best-simplify-110`
506×	`rational_best-simplify-126`
488×	`rational_best-simplify-96`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	14	19
2	48	17
3	235	13
4	1452	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(+.f64 (.f64 c a) (.f64 a d))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 c a) (*.f64 a (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a d) (*.f64 c (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (+.f64 c d)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (neg.f64 c) d) 0) (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (+.f64 c d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a) (-.f64 (neg.f64 c) d))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c d) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 c) d) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (*.f64 a (+.f64 c d))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))) (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d))))) (+.f64 (-.f64 1 (*.f64 a (+.f64 c d))) (-.f64 1 (*.f64 a (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (*.f64 a (+.f64 c d))) (*.f64 (*.f64 a (+.f64 c d)) (*.f64 a (+.f64 c d)))) (-.f64 1 (*.f64 1 (*.f64 a (+.f64 c d)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d)))) (*.f64 (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))) (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))))) (-.f64 4 (*.f64 -2 (-.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 a (+.f64 c d))) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d))))) (*.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))))) (-.f64 (*.f64 (-.f64 1 (*.f64 a (+.f64 c d))) (-.f64 1 (*.f64 a (+.f64 c d)))) (*.f64 (-.f64 1 (*.f64 a (+.f64 c d))) (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (*.f64 a (-.f64 (neg.f64 c) d)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (+.f64 c d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 d c)) 0) (/.f64 (*.f64 a (-.f64 (*.f64 c (*.f64 c a)) (*.f64 d (*.f64 a d)))) (*.f64 a (-.f64 c d))) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 c (neg.f64 a)) 0) (/.f64 (*.f64 (*.f64 c a) (*.f64 a (+.f64 c d))) (*.f64 c a)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a d) 0) (/.f64 (*.f64 a (*.f64 d (*.f64 a (+.f64 c d)))) (*.f64 a d)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 c d)) 0) (/.f64 (*.f64 a (-.f64 (*.f64 c (*.f64 c a)) (*.f64 d (*.f64 a d)))) (*.f64 a (-.f64 c d))) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (neg.f64 d)) 0) (/.f64 (*.f64 a (*.f64 d (*.f64 a (+.f64 c d)))) (*.f64 a d)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 c a) 0) (/.f64 (*.f64 (*.f64 c a) (*.f64 a (+.f64 c d))) (*.f64 c a)) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))) 0) (*.f64 a (+.f64 c d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))) (*.f64 a (-.f64 (neg.f64 c) d))) (*.f64 a (+.f64 c d)))))))

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1134×	`rational_best-simplify-61`
1078×	`rational_best-simplify-65`
1056×	`rational_best-simplify-3`
630×	`rational_best-simplify-53`
544×	`rational_best-simplify-56`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	1049
1	646	731
2	4251	731

Stop Event

1×	node limit

Counts

59 → 39

Calls

Call 1

Inputs
(*.f64 a d)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(*.f64 a d)
(-.f64 (.f64 c a) (.f64 a (neg.f64 d)))
(-.f64 (.f64 a d) (.f64 c (neg.f64 a)))
(-.f64 (*.f64 a (+.f64 c d)) 0)
(-.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))
(-.f64 (.f64 (-.f64 (neg.f64 c) d) 0) (.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 a (+.f64 c d))
(.f64 (.f64 a (+.f64 c d)) 1)
(.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 c) d))
(.f64 (.f64 a (-.f64 (neg.f64 c) d)) -1)
(*.f64 (+.f64 c d) a)
(*.f64 (-.f64 (neg.f64 c) d) (neg.f64 a))
(/.f64 (*.f64 a (+.f64 c d)) 1)
(/.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)
(/.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) -2)
(/.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (.f64 a (+.f64 c d))))
(/.f64 (+.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d))) 2)
(/.f64 (+.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d)))) -4)
(/.f64 (+.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d))))) (+.f64 (-.f64 1 (.f64 a (+.f64 c d))) (-.f64 1 (.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d)))) (-.f64 1 (.f64 1 (*.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (.f64 -2 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d)))) (.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))))) (-.f64 4 (.f64 -2 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))))))
(/.f64 (-.f64 (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d))))) (.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))))) (-.f64 (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (-.f64 1 (.f64 a (+.f64 c d)))) (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))))))
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))
(if (!=.f64 (.f64 a (-.f64 d c)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 c a)) (.f64 d (.f64 a d)))) (.f64 a (-.f64 c d))) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 c (neg.f64 a)) 0) (/.f64 (.f64 (.f64 c a) (.f64 a (+.f64 c d))) (.f64 c a)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 c d)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 c a)) (.f64 d (.f64 a d)))) (.f64 a (-.f64 c d))) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 c a) 0) (/.f64 (.f64 (.f64 c a) (.f64 a (+.f64 c d))) (.f64 c a)) (.f64 a (+.f64 c d)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (.f64 a (-.f64 (neg.f64 c) d)))) 0) (*.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (.f64 a (-.f64 (neg.f64 c) d))) (.f64 a (+.f64 c d)))

Outputs
(*.f64 a d)
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 (+.f64 (.f64 -1 c) (.f64 -1 d)) a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a d)
(*.f64 a d)
(-.f64 (.f64 c a) (.f64 a (neg.f64 d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(-.f64 (.f64 a d) (.f64 c (neg.f64 a)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(-.f64 (*.f64 a (+.f64 c d)) 0)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(-.f64 0 (*.f64 a (-.f64 (neg.f64 c) d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(-.f64 (.f64 (-.f64 (neg.f64 c) d) 0) (.f64 a (-.f64 (neg.f64 c) d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 (.f64 a (+.f64 c d)) 1)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (neg.f64 a) (-.f64 (neg.f64 c) d))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(.f64 (.f64 a (-.f64 (neg.f64 c) d)) -1)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(*.f64 (-.f64 (neg.f64 c) d) (neg.f64 a))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (+.f64 c d)) 1)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (*.f64 a (-.f64 (neg.f64 c) d)) -1)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) -2)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (-.f64 1 (.f64 a (+.f64 c d))))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (+.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d))) 2)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (+.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d)))) -4)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (+.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d))))) (+.f64 (-.f64 1 (.f64 a (+.f64 c d))) (-.f64 1 (.f64 a (+.f64 c d)))))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (-.f64 (.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (+.f64 c d)) (.f64 a (+.f64 c d)))) (-.f64 1 (.f64 1 (*.f64 a (+.f64 c d)))))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (-.f64 (.f64 -2 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d)))) (.f64 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))))) (-.f64 4 (.f64 -2 (-.f64 (.f64 a (-.f64 (neg.f64 c) d)) (*.f64 a (+.f64 c d))))))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(/.f64 (-.f64 (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d))))) (.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))))) (-.f64 (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (-.f64 1 (.f64 a (+.f64 c d)))) (.f64 (-.f64 1 (.f64 a (+.f64 c d))) (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (-.f64 -1 (.f64 a (-.f64 (neg.f64 c) d)))))))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(pow.f64 (*.f64 a (+.f64 c d)) 1)
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(neg.f64 (*.f64 a (-.f64 (neg.f64 c) d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 a (-.f64 d c)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 c a)) (.f64 d (.f64 a d)))) (.f64 a (-.f64 c d))) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 c (neg.f64 a)) 0) (/.f64 (.f64 (.f64 c a) (.f64 a (+.f64 c d))) (.f64 c a)) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 a (-.f64 c d)) 0) (/.f64 (.f64 a (-.f64 (.f64 c (.f64 c a)) (.f64 d (.f64 a d)))) (.f64 a (-.f64 c d))) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 a (neg.f64 d)) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 c a) 0) (/.f64 (.f64 (.f64 c a) (.f64 a (+.f64 c d))) (.f64 c a)) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (.f64 a (-.f64 (neg.f64 c) d)))) 0) (*.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))
(if (!=.f64 (.f64 a (-.f64 (neg.f64 c) d)) 0) (/.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) (.f64 a (+.f64 c d))) (.f64 a (-.f64 (neg.f64 c) d))) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a d) (.f64 a c))
(*.f64 a (+.f64 d c))

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 c (.f64 a d))
	0.5b	(.f64 (.f64 d a) (*.f64 d a))
✓	0.7b	(.f64 a (.f64 c (*.f64 a d)))
✓	5.6b	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))

Compiler

Compiled 120 to 20 computations (83.3% saved)

series9.0ms (0.3%)

Counts

3 → 72

Calls

27 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
1.0ms	d	@	inf	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
1.0ms	a	@	0	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
1.0ms	d	@	-inf	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
1.0ms	d	@	0	(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))

rewrite122.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1148×	`rational_best-simplify-113`
904×	`rational_best-simplify-1`
652×	`rational_best-simplify-18`
646×	`rational_best-simplify-20`
420×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	87
1	36	87
2	167	73
3	1024	69
4	7261	69

Stop Event

1×	node limit

Counts

3 → 8

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
(.f64 a (.f64 c (*.f64 a d)))
(.f64 c (.f64 a d))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 (*.f64 d a) c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 (*.f64 d a) c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 (*.f64 d a) c)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 (*.f64 d a) c) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d a) c) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 d a) c) (neg.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (*.f64 d a) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (*.f64 d a) c) (neg.f64 a)))))))

()

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational_best-simplify-3`
1138×	`rational_best-simplify-61`
666×	`rational_best-simplify-52`
632×	`rational_best-simplify-53`
556×	`rational_best-simplify-56`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	1598
1	140	1598
2	781	1562
3	4990	1490

Stop Event

1×	node limit

Counts

80 → 21

Calls

Call 1

Inputs
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 a (.f64 (*.f64 d a) c)) 0)
(+.f64 0 (.f64 a (.f64 (*.f64 d a) c)))
(-.f64 (.f64 a (.f64 (*.f64 d a) c)) 0)
(-.f64 0 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)))
(/.f64 (.f64 (.f64 d a) c) (/.f64 1 a))
(/.f64 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)) -1)
(pow.f64 (.f64 a (.f64 (*.f64 d a) c)) 1)
(neg.f64 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)))

Outputs
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(+.f64 (.f64 a (.f64 (*.f64 d a) c)) 0)
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(+.f64 0 (.f64 a (.f64 (*.f64 d a) c)))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(-.f64 (.f64 a (.f64 (*.f64 d a) c)) 0)
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(-.f64 0 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(/.f64 (.f64 (.f64 d a) c) (/.f64 1 a))
(/.f64 (.f64 c (.f64 a d)) (/.f64 1 a))
(/.f64 (.f64 a (.f64 c d)) (/.f64 1 a))
(/.f64 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)) -1)
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(pow.f64 (.f64 a (.f64 (*.f64 d a) c)) 1)
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))
(neg.f64 (.f64 (.f64 (*.f64 d a) c) (neg.f64 a)))
(.f64 c (.f64 d (pow.f64 a 2)))
(.f64 (.f64 c d) (pow.f64 a 2))
(.f64 (.f64 c d) (*.f64 a a))

localize36.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d))
✓	0.3b	(.f64 d (.f64 a a))
	0.7b	(.f64 a (.f64 (*.f64 d a) (+.f64 c b)))
✓	5.6b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))

Compiler

Compiled 175 to 36 computations (79.4% saved)

series8.0ms (0.2%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	a	@	-inf	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (*.f64 d a))
0.0ms	d	@	0	(.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d))
0.0ms	d	@	-inf	(.f64 d (.f64 a a))
0.0ms	a	@	0	(.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d))
0.0ms	a	@	inf	(.f64 d (.f64 a a))

rewrite73.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational_best-simplify-3`
914×	`rational_best-simplify-96`
890×	`rational_best-simplify-61`
834×	`rational_best-simplify-65`
544×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	119
1	88	119
2	507	115
3	3451	115

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (*.f64 a (*.f64 (*.f64 d a) (+.f64 c b)))) (*.f64 d a))

(*.f64 d (*.f64 a a))

(*.f64 (*.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d a) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 d (neg.f64 a)) (*.f64 d a)) (neg.f64 (+.f64 (/.f64 1 a) (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))) (neg.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a))) (+.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a)))) (+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d)))) (+.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a)))) (-.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))) (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))))) (-.f64 (*.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 d (fabs.f64 a)) (*.f64 d (fabs.f64 a))) (+.f64 (/.f64 1 (fabs.f64 a)) (/.f64 1 (fabs.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d)))) (+.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))))) (+.f64 (+.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (+.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a)))) (-.f64 (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (*.f64 d a) (*.f64 d a))))) (+.f64 (-.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))) (-.f64 (*.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (*.f64 (+.f64 (*.f64 d a) (*.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))) (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))))) (-.f64 (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a)))) (-.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 d (*.f64 a (/.f64 1 a))))))) (+.f64 (-.f64 (*.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))) (-.f64 (*.f64 (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))) (*.f64 (-.f64 (*.f64 d (*.f64 a (/.f64 1 a))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (*.f64 d (neg.f64 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) (*.f64 d (neg.f64 d))) (*.f64 (*.f64 a a) (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 d (*.f64 (*.f64 a a) (+.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a a) (*.f64 d (neg.f64 d))) (*.f64 (*.f64 a a) (*.f64 d d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (*.f64 (*.f64 a a) (+.f64 d d))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (*.f64 a (neg.f64 (+.f64 d d)))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 d (*.f64 (*.f64 a a) (+.f64 d d))) (*.f64 d (*.f64 (*.f64 a a) (+.f64 d d)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d (neg.f64 (+.f64 d d))) (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 d (*.f64 (*.f64 a a) (+.f64 d d))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 a a) (*.f64 d d)) 0) (/.f64 (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (*.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (*.f64 a a) (*.f64 d d)))) 0) (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 a a) (*.f64 d (neg.f64 d))) 0) (/.f64 (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 (*.f64 a a) (*.f64 d d))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))))))

simplify94.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

838×	`rational_best-simplify-53`
786×	`rational_best-simplify-52`
778×	`rational_best-simplify-56`
684×	`rational_best-simplify-1`
568×	`rational_best-simplify-21`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	2773
1	752	2773
2	4978	2689

Stop Event

1×	node limit

Counts

127 → 58

Calls

Call 1

Inputs
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 (pow.f64 a 2) (.f64 d b))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (.f64 (pow.f64 a 2) d))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(*.f64 (pow.f64 a 2) d)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(/.f64 (*.f64 d a) (/.f64 1 a))
(/.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))
(/.f64 (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))
(/.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))
(/.f64 (-.f64 (.f64 d (neg.f64 a)) (.f64 d a)) (neg.f64 (+.f64 (/.f64 1 a) (/.f64 1 a))))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (neg.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))))
(/.f64 (*.f64 d (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))) (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))
(/.f64 (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d)))) (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))))) (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))))
(/.f64 (+.f64 (.f64 d (fabs.f64 a)) (.f64 d (fabs.f64 a))) (+.f64 (/.f64 1 (fabs.f64 a)) (/.f64 1 (fabs.f64 a))))
(/.f64 (+.f64 (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d)))) (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))))) (+.f64 (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))))
(/.f64 (+.f64 (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))))) (+.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))) (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))))
(/.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))))) (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a))))))) (+.f64 (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))) (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))))))
(neg.f64 (.f64 a (.f64 d (neg.f64 a))))
(+.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)
(+.f64 0 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))
(+.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) (.f64 (.f64 a a) (.f64 d (neg.f64 d))))
(-.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)
(-.f64 0 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))))
(-.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) (.f64 (.f64 a a) (.f64 d d)))
(/.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 1)
(/.f64 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))) -1)
(/.f64 (.f64 d (.f64 a (neg.f64 (+.f64 d d)))) (/.f64 1 a))
(/.f64 (+.f64 (.f64 d (.f64 (.f64 a a) (+.f64 d d))) (.f64 d (.f64 (.f64 a a) (+.f64 d d)))) -2)
(/.f64 (.f64 (.f64 d (neg.f64 (+.f64 d d))) (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))
(neg.f64 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))))
(if (!=.f64 (.f64 (.f64 a a) (.f64 d d)) 0) (/.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 a a) (.f64 d d))) (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 (.f64 a a) (.f64 d d)))) 0) (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))
(if (!=.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) 0) (/.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 a a) (.f64 d d))) (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))))

Outputs
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (.f64 (+.f64 (.f64 d (+.f64 c b)) (pow.f64 d 2)) a) d)
(/.f64 (.f64 a (+.f64 (.f64 (+.f64 c b) d) (pow.f64 d 2))) d)
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 (pow.f64 a 2) (.f64 d b))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 d (.f64 (pow.f64 a 2) b))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 b (.f64 d (pow.f64 a 2)))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 c a)
(*.f64 a c)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(/.f64 (+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (.f64 (pow.f64 a 2) d))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 c (.f64 d (pow.f64 a 2)))) (.f64 a d))
(/.f64 (+.f64 (pow.f64 (.f64 a d) 2) (.f64 (pow.f64 a 2) (.f64 c d))) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(*.f64 (pow.f64 a 2) d)
(*.f64 d (pow.f64 a 2))
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(.f64 -2 (.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 (pow.f64 (.f64 a d) 2) -2)
(/.f64 (*.f64 d a) (/.f64 1 a))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (-.f64 (.f64 d (neg.f64 a)) (.f64 d a)) (neg.f64 (+.f64 (/.f64 1 a) (/.f64 1 a))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (neg.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (*.f64 d a)))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (*.f64 d (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))) (+.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (+.f64 (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (+.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d)))) (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))))) (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (.f64 d (fabs.f64 a)) (.f64 d (fabs.f64 a))) (+.f64 (/.f64 1 (fabs.f64 a)) (/.f64 1 (fabs.f64 a))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d)))) (+.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))))) (+.f64 (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (+.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a)))) (-.f64 (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (.f64 d a) (.f64 d a))))) (+.f64 (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a)))) (-.f64 (.f64 (+.f64 (/.f64 1 a) (/.f64 1 a)) (+.f64 (/.f64 1 a) (/.f64 1 a))) (.f64 (+.f64 (.f64 d a) (.f64 d a)) (+.f64 (/.f64 1 a) (/.f64 1 a))))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(/.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))))) (-.f64 (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a)))) (-.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 d (.f64 a (/.f64 1 a))))))) (+.f64 (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))))) (-.f64 (.f64 (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))) (.f64 (-.f64 (.f64 d (.f64 a (/.f64 1 a))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (/.f64 1 a) (-.f64 (/.f64 1 a) (.f64 d a)))))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(neg.f64 (.f64 a (.f64 d (neg.f64 a))))
(.f64 d (.f64 a a))
(.f64 a (.f64 a d))
(+.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(+.f64 0 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(+.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) (.f64 (.f64 a a) (.f64 d (neg.f64 d))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(-.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 0)
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(-.f64 0 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(-.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) (.f64 (.f64 a a) (.f64 d d)))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(/.f64 (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))) 1)
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(/.f64 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))) -1)
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(/.f64 (.f64 d (.f64 a (neg.f64 (+.f64 d d)))) (/.f64 1 a))
(/.f64 (.f64 a (.f64 (+.f64 d d) (neg.f64 d))) (/.f64 1 a))
(/.f64 (.f64 d (.f64 (neg.f64 a) (+.f64 d d))) (/.f64 1 a))
(/.f64 (+.f64 (.f64 d (.f64 (.f64 a a) (+.f64 d d))) (.f64 d (.f64 (.f64 a a) (+.f64 d d)))) -2)
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(/.f64 (.f64 (.f64 d (neg.f64 (+.f64 d d))) (fabs.f64 a)) (/.f64 1 (fabs.f64 a)))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(neg.f64 (.f64 d (.f64 (*.f64 a a) (+.f64 d d))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(if (!=.f64 (.f64 (.f64 a a) (.f64 d d)) 0) (/.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 a a) (.f64 d d))) (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 (.f64 a a) (.f64 d d)) (.f64 (.f64 a a) (.f64 d d)))) 0) (.f64 d (.f64 a (*.f64 a (neg.f64 (+.f64 d d))))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))
(if (!=.f64 (.f64 (.f64 a a) (.f64 d (neg.f64 d))) 0) (/.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))) (.f64 (.f64 a a) (.f64 d d))) (.f64 (.f64 a a) (.f64 d d))) (.f64 d (.f64 a (.f64 a (neg.f64 (+.f64 d d))))))
(+.f64 (.f64 a (.f64 a (*.f64 (+.f64 d d) (neg.f64 d)))) 0)
(+.f64 (.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d)))) 0)
(.f64 a (.f64 d (*.f64 (neg.f64 a) (+.f64 d d))))

eval46.0ms (1.4%)

Compiler: Compiled 6757 to 1802 computations (73.3% saved)

prune29.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	173	2	175
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	175	6	181

Error

0.0b

Counts

181 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.8b	(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
▶	5.8b	(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
✓	0.2b	(+.f64 (.f64 c a) (.f64 a d))
✓	4.1b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))

Compiler

Compiled 107 to 61 computations (43% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 c d))
✓	0.3b	(.f64 d (.f64 a (+.f64 c d)))
✓	0.4b	(.f64 a (.f64 d (*.f64 a (+.f64 c d))))
✓	5.6b	(/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d))

Compiler

Compiled 77 to 16 computations (79.2% saved)

series6.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	d	@	-inf	(.f64 a (.f64 d (*.f64 a (+.f64 c d))))
0.0ms	a	@	inf	(.f64 a (.f64 d (*.f64 a (+.f64 c d))))
0.0ms	a	@	0	(/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d))
0.0ms	a	@	0	(.f64 d (.f64 a (+.f64 c d)))
0.0ms	d	@	-inf	(.f64 d (.f64 a (+.f64 c d)))

rewrite58.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational_best-simplify-113`
472×	`rational_best-simplify-3`
456×	`rational_best-simplify-110`
442×	`rational_best-simplify-124`
440×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	81
1	35	81
2	181	81
3	1215	81

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs
(/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d))
(.f64 a (.f64 d (*.f64 a (+.f64 c d))))
(.f64 d (.f64 a (+.f64 c d)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a d) 0) (*.f64 a (+.f64 d c)) (/.f64 (*.f64 a (*.f64 d (*.f64 a (+.f64 d c)))) (*.f64 a d)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 d (*.f64 d (*.f64 a a))) (neg.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 d (*.f64 a (+.f64 d c)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a d) (*.f64 a c)) (*.f64 a (*.f64 (*.f64 a (neg.f64 d)) d)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 d (*.f64 a (+.f64 d c))) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 d (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 d (*.f64 d (*.f64 a a))) 0) (/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 d (*.f64 a a))))) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 a (*.f64 d (*.f64 a (+.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 d (*.f64 a a)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 d (*.f64 a a))) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))))) (+.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 d (*.f64 a a))))) (*.f64 a (*.f64 d (*.f64 a (+.f64 d c)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 d (*.f64 a a)))) (*.f64 (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 c)))))) (*.f64 d (*.f64 a (*.f64 a (neg.f64 c))))) (*.f64 a (*.f64 d (*.f64 a (+.f64 d c)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 d d)) (neg.f64 (*.f64 a (*.f64 d (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 d (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 d d)) (*.f64 (*.f64 a d) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 a (*.f64 d c)) (*.f64 a (*.f64 d (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 d (*.f64 a c)) (*.f64 d (*.f64 a (neg.f64 d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a d) c) (*.f64 (*.f64 a d) (neg.f64 d)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 a d) 0) (*.f64 a (*.f64 d (-.f64 (neg.f64 c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 a (*.f64 d (-.f64 (neg.f64 c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 d (-.f64 (neg.f64 c) d)) a))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 a (-.f64 (neg.f64 c) d)) d))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 (neg.f64 c) d) (*.f64 a d)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d d))) 0) (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 d d))) (*.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d (neg.f64 c))))) (+.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d d)))) (*.f64 d (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (*.f64 d (neg.f64 c))) 0) (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d d))) (*.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d (neg.f64 c))))) (*.f64 a (*.f64 d (neg.f64 c)))) (*.f64 d (*.f64 a (+.f64 d c))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 a (*.f64 d d)) 0) (/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 d d)) (*.f64 a (*.f64 d d))) (*.f64 (*.f64 a (*.f64 d (neg.f64 c))) (*.f64 a (*.f64 d d)))) (*.f64 a (*.f64 d d))) (*.f64 d (*.f64 a (+.f64 d c))))))))

simplify81.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best-simplify-3`
1144×	`rational_best-simplify-61`
1118×	`rational_best-simplify-65`
640×	`rational_best-simplify-52`
574×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	129	3171
1	639	2995
2	3949	2995

Stop Event

1×	node limit

Counts

135 → 59

Calls

Call 1

Inputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(.f64 c (.f64 (pow.f64 a 2) d))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(.f64 c (.f64 a d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 a d))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(.f64 c (.f64 a d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(.f64 c (.f64 a d))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(if (!=.f64 (.f64 a d) 0) (.f64 a (+.f64 d c)) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 d c)))) (.f64 a d)))
(+.f64 (.f64 d (.f64 d (.f64 a a))) (neg.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c))))))
(-.f64 (.f64 a (.f64 d (*.f64 a (+.f64 d c)))) 0)
(-.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))
(-.f64 0 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))
(-.f64 (.f64 (.f64 a d) (.f64 a c)) (.f64 a (.f64 (.f64 a (neg.f64 d)) d)))
(/.f64 (.f64 d (.f64 a (+.f64 d c))) (/.f64 1 a))
(/.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)) -1)
(neg.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))
(neg.f64 (-.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))))
(if (!=.f64 (.f64 d (.f64 d (.f64 a a))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a))))) (.f64 d (.f64 d (.f64 a a)))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(if (!=.f64 (+.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))) (+.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a))))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(if (!=.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))) (.f64 d (.f64 a (.f64 a (neg.f64 c))))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(+.f64 (.f64 a (.f64 d d)) (neg.f64 (.f64 a (.f64 d (neg.f64 c)))))
(-.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d (neg.f64 c))))
(-.f64 (.f64 a (.f64 d d)) (.f64 (.f64 a d) (neg.f64 c)))
(-.f64 (.f64 a (.f64 d c)) (.f64 a (.f64 d (neg.f64 d))))
(-.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a (neg.f64 d))))
(-.f64 (.f64 (.f64 a d) c) (.f64 (.f64 a d) (neg.f64 d)))
(-.f64 (.f64 (.f64 a d) 0) (.f64 a (.f64 d (-.f64 (neg.f64 c) d))))
(neg.f64 (.f64 a (.f64 d (-.f64 (neg.f64 c) d))))
(neg.f64 (.f64 (.f64 d (-.f64 (neg.f64 c) d)) a))
(neg.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) d))
(neg.f64 (.f64 (-.f64 (neg.f64 c) d) (.f64 a d)))
(if (!=.f64 (+.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d (neg.f64 c))))) (+.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d)))) (.f64 d (.f64 a (+.f64 d c))))
(if (!=.f64 (.f64 a (.f64 d (neg.f64 c))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d (neg.f64 c))))) (.f64 a (.f64 d (neg.f64 c)))) (.f64 d (.f64 a (+.f64 d c))))
(if (!=.f64 (.f64 a (.f64 d d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d)))) (.f64 a (.f64 d d))) (.f64 d (.f64 a (+.f64 d c))))

Outputs
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 (+.f64 c d) a)
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 (+.f64 c d) (.f64 (pow.f64 a 2) d))
(.f64 (+.f64 c d) (.f64 d (pow.f64 a 2)))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 c (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 d a) 2)
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 d a) 2)
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(*.f64 (pow.f64 a 2) (pow.f64 d 2))
(pow.f64 (*.f64 d a) 2)
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 (pow.f64 a 2) d)) (*.f64 (pow.f64 a 2) (pow.f64 d 2)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 c (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(.f64 c (.f64 (pow.f64 a 2) d))
(.f64 (pow.f64 a 2) (.f64 c d))
(.f64 c (.f64 d (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 (pow.f64 a 2) (pow.f64 d 2)) (.f64 c (*.f64 (pow.f64 a 2) d)))
(+.f64 (.f64 (pow.f64 a 2) (.f64 c d)) (pow.f64 (*.f64 d a) 2))
(+.f64 (.f64 c (.f64 d (pow.f64 a 2))) (pow.f64 (*.f64 d a) 2))
(.f64 c (.f64 a d))
(.f64 c (.f64 d a))
(.f64 d (.f64 c a))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(.f64 (+.f64 c d) (.f64 a d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(*.f64 a (pow.f64 d 2))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(.f64 c (.f64 a d))
(.f64 c (.f64 d a))
(.f64 d (.f64 c a))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(.f64 c (.f64 a d))
(.f64 c (.f64 d a))
(.f64 d (.f64 c a))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 a (pow.f64 d 2)) (.f64 c (*.f64 a d)))
(+.f64 (.f64 c (.f64 d a)) (*.f64 a (pow.f64 d 2)))
(+.f64 (.f64 d (.f64 c a)) (*.f64 a (pow.f64 d 2)))
(if (!=.f64 (.f64 a d) 0) (.f64 a (+.f64 d c)) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 d c)))) (.f64 a d)))
(if (!=.f64 (.f64 d a) 0) (.f64 (+.f64 c d) a) (/.f64 (.f64 d (.f64 a (.f64 (+.f64 c d) a))) (.f64 d a)))
(if (!=.f64 (.f64 d a) 0) (.f64 (+.f64 c d) a) (/.f64 (.f64 d (.f64 (+.f64 c d) (.f64 a a))) (.f64 d a)))
(+.f64 (.f64 d (.f64 d (.f64 a a))) (neg.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c))))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(-.f64 (.f64 a (.f64 d (*.f64 a (+.f64 d c)))) 0)
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(-.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(-.f64 0 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(-.f64 (.f64 (.f64 a d) (.f64 a c)) (.f64 a (.f64 (.f64 a (neg.f64 d)) d)))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(/.f64 (.f64 d (.f64 a (+.f64 d c))) (/.f64 1 a))
(/.f64 (.f64 d (.f64 (+.f64 c d) a)) (/.f64 1 a))
(/.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)) -1)
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(neg.f64 (.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 c) d)))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(neg.f64 (-.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(if (!=.f64 (.f64 d (.f64 d (.f64 a a))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a))))) (.f64 d (.f64 d (.f64 a a)))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(if (!=.f64 (+.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 d (.f64 a a))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))) (+.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a))))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(if (!=.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) 0) (/.f64 (-.f64 (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 d (.f64 a a)))) (.f64 (.f64 d (.f64 a (.f64 a (neg.f64 c)))) (.f64 d (.f64 a (.f64 a (neg.f64 c)))))) (.f64 d (.f64 a (.f64 a (neg.f64 c))))) (.f64 a (.f64 d (*.f64 a (+.f64 d c)))))
(.f64 d (-.f64 (.f64 d (.f64 a a)) (.f64 a (*.f64 c (neg.f64 a)))))
(.f64 d (.f64 (+.f64 c d) (*.f64 a a)))
(+.f64 (.f64 a (.f64 d d)) (neg.f64 (.f64 a (.f64 d (neg.f64 c)))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d (neg.f64 c))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 a (.f64 d d)) (.f64 (.f64 a d) (neg.f64 c)))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 a (.f64 d c)) (.f64 a (.f64 d (neg.f64 d))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 d (.f64 a c)) (.f64 d (.f64 a (neg.f64 d))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 (.f64 a d) c) (.f64 (.f64 a d) (neg.f64 d)))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(-.f64 (.f64 (.f64 a d) 0) (.f64 a (.f64 d (-.f64 (neg.f64 c) d))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(neg.f64 (.f64 a (.f64 d (-.f64 (neg.f64 c) d))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(neg.f64 (.f64 (.f64 d (-.f64 (neg.f64 c) d)) a))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(neg.f64 (.f64 (.f64 a (-.f64 (neg.f64 c) d)) d))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(neg.f64 (.f64 (-.f64 (neg.f64 c) d) (.f64 a d)))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(if (!=.f64 (+.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d (neg.f64 c))))) (+.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d)))) (.f64 d (.f64 a (+.f64 d c))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(if (!=.f64 (.f64 a (.f64 d (neg.f64 c))) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d (neg.f64 c))))) (.f64 a (.f64 d (neg.f64 c)))) (.f64 d (.f64 a (+.f64 d c))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))
(if (!=.f64 (.f64 a (.f64 d d)) 0) (/.f64 (-.f64 (.f64 (.f64 a (.f64 d d)) (.f64 a (.f64 d d))) (.f64 (.f64 a (.f64 d (neg.f64 c))) (.f64 a (.f64 d d)))) (.f64 a (.f64 d d))) (.f64 d (.f64 a (+.f64 d c))))
(.f64 (+.f64 c d) (.f64 d a))
(.f64 d (.f64 (+.f64 c d) a))

localize34.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 (.f64 d (*.f64 a a)) (-.f64 (neg.f64 d) d))
	0.3b	(.f64 d (.f64 a a))
	0.7b	(.f64 a (.f64 c (*.f64 a d)))
✓	5.6b	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))

Compiler

Compiled 165 to 36 computations (78.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	d	@	0	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
0.0ms	a	@	0	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
0.0ms	a	@	-inf	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
0.0ms	a	@	inf	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))
0.0ms	d	@	inf	(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))

rewrite56.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`rational_best-simplify-3`
836×	`rational_best-simplify-96`
790×	`rational_best-simplify-61`
762×	`rational_best-simplify-65`
466×	`rational_best-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	85	71
2	477	67
3	3205	67

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (*.f64 d a))

Outputs
()

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

816×	`rational_best-simplify-113`
480×	`rational_best-simplify-111`
464×	`rational_best-simplify-124`
460×	`rational_best-simplify-127`
458×	`rational_best-simplify-126`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	756
1	36	756
2	195	720
3	1247	648

Stop Event

1×	node limit

Counts

36 → 7

Calls

Call 1

Inputs
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 a d) (.f64 c a))

Outputs
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(/.f64 (.f64 a (+.f64 (.f64 c d) (pow.f64 d 2))) d)
(*.f64 a d)
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(*.f64 c a)
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a d) (.f64 c a))
(+.f64 (.f64 c a) (.f64 a d))
(*.f64 a (-.f64 c (neg.f64 d)))
(*.f64 a (+.f64 c d))

eval45.0ms (1.4%)

Compiler: Compiled 6986 to 1847 computations (73.6% saved)

prune31.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	179	1	180
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	180	6	186

Error

0.0b

Counts

186 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	5.7b	(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 d (.f64 (+.f64 c d) (.f64 a a))) (.f64 a d)) (.f64 a (+.f64 c d)))
✓	5.8b	(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
✓	0.2b	(+.f64 (.f64 c a) (.f64 a d))
✓	4.1b	(*.f64 d a)
✓	0.0b	(*.f64 a (+.f64 (+.f64 b c) d))
✓	0.1b	(*.f64 a (+.f64 c d))

Compiler

Compiled 94 to 52 computations (44.7% saved)

regimes55.0ms (1.7%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 a (.f64 d (.f64 a (+.f64 c d)))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 a d) 0) (/.f64 (.f64 d (.f64 (+.f64 c d) (.f64 a a))) (.f64 a d)) (.f64 a (+.f64 c d)))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 c (.f64 a d)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (.f64 (.f64 d a) (.f64 d a)) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 c (.f64 a d)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))
(if (!=.f64 (.f64 d a) 0) (/.f64 (+.f64 (/.f64 (.f64 (.f64 d (.f64 a a)) (-.f64 (neg.f64 d) d)) -2) (.f64 a (.f64 (.f64 d a) (+.f64 c b)))) (.f64 d a)) (*.f64 a (+.f64 c (+.f64 d b))))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))

Calls

7 calls:

7.0ms	(*.f64 a (+.f64 (+.f64 b c) d))
6.0ms	b
6.0ms	(+.f64 b c)
6.0ms	c
6.0ms	(+.f64 (+.f64 b c) d)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`c`
0.0b	1	`d`
0.0b	1	`(*.f64 a (+.f64 (+.f64 b c) d))`
0.0b	1	`(+.f64 (+.f64 b c) d)`
0.0b	1	`(+.f64 b c)`

Compiler

Compiled 272 to 99 computations (63.6% saved)

regimes13.0ms (0.4%)

Accuracy

Total -4.0b remaining (-2908.5%)

Threshold costs -4.0b (-2908.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 d a)
(*.f64 a (+.f64 c d))

Outputs
(*.f64 a (+.f64 c d))

Calls

4 calls:

3.0ms	c
3.0ms	b
3.0ms	d
3.0ms	a

Results

Error	Segments	Branch
0.1b	1	`a`
0.1b	1	`b`
0.1b	1	`c`
0.1b	1	`d`

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 d a)

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 c d))
(*.f64 d a)

Compiler

Compiled 27 to 18 computations (33.3% saved)

soundness0.0ms (0%)

end18.0ms (0.6%)

Remove: (sort b c d)
Compiler: Compiled 41 to 24 computations (41.5% saved)

Details

analyze1.0ms (0%)

sample1.2s (36.9%)

preprocess76.0ms (2.3%)

simplify82.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite74.0ms (2.3%)

simplify97.0ms (3%)

eval11.0ms (0.3%)

prune32.0ms (1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite53.0ms (1.6%)

simplify56.0ms (1.7%)

localize4.0ms (0.1%)

localize9.0ms (0.3%)

series5.0ms (0.1%)

rewrite64.0ms (2%)

simplify69.0ms (2.1%)

localize23.0ms (0.7%)

series39.0ms (1.2%)

rewrite62.0ms (1.9%)

simplify111.0ms (3.4%)

eval33.0ms (1%)

prune30.0ms (0.9%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite55.0ms (1.7%)

simplify69.0ms (2.1%)

localize24.0ms (0.7%)

series9.0ms (0.3%)

rewrite122.0ms (3.7%)

simplify78.0ms (2.4%)

localize36.0ms (1.1%)

series8.0ms (0.2%)

rewrite73.0ms (2.2%)

simplify94.0ms (2.9%)

eval46.0ms (1.4%)

prune29.0ms (0.9%)

localize15.0ms (0.4%)

series6.0ms (0.2%)

rewrite58.0ms (1.8%)

simplify81.0ms (2.5%)

localize34.0ms (1%)

series1.0ms (0%)

rewrite56.0ms (1.7%)

simplify47.0ms (1.4%)

eval45.0ms (1.4%)

prune31.0ms (0.9%)

regimes55.0ms (1.7%)

regimes13.0ms (0.4%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end18.0ms (0.6%)

Profiling