Details

analyze2.3s (13.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
0%	0%	99.7%	0.3%	0%	0%	0%	1
0%	0%	99.7%	0.3%	0%	0%	0%	2
0%	0%	99.7%	0.3%	0%	0%	0%	3
0%	0%	99.7%	0.3%	0%	0%	0%	4
0%	0%	99.7%	0.3%	0%	0%	0%	5
0%	0%	99.7%	0.3%	0%	0%	0%	6
0%	0%	99.7%	0.3%	0%	0%	0%	7
0%	0%	99.7%	0.3%	0%	0%	0%	8
0%	0%	99.7%	0.3%	0%	0%	0%	9
0%	0%	99.7%	0.3%	0%	0%	0%	10
0%	0%	99.7%	0.3%	0%	0%	0%	11
0%	0%	99.7%	0.3%	0%	0%	0%	12

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample7.0s (42.8%)

Results

4.5s	8256×	body	256	valid
2.6s	4211×	body	256	infinite

Bogosity

preprocess201.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

102×	`rational.json-simplify-1`
36×	`rational.json-simplify-41`
30×	`rational.json-simplify-2`
2×	`swap-a-b`
2×	`swap-z-t`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	496
1	108	496
2	136	496
3	153	496
0	6	6
1	6	6

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3
4
5

Outputs
0
1
0
2
3
2
4
5
4

Call 2

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

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

Symmetry

(sort x y)

(sort z t)

(sort a b)

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-1`
6×	`rational.json-simplify-2`
4×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	18	31
2	22	31
3	26	31

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 28 to 13 computations (53.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

Compiler

Compiled 17 to 11 computations (35.3% saved)

localize773.0ms (4.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 11 computations (71.8% saved)

series7.0ms (0%)

Counts

2 → 120

Calls

30 calls:

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

rewrite222.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`rational.json-simplify-1`
1610×	`rational.json-simplify-35`
1510×	`exponential.json-3`
1510×	`rational.json-1`
1510×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	85	50
2	169	50
3	369	50
4	748	50
5	1930	50
6	3434	50
7	4602	50
8	6479	50
9	7738	50
10	7762	50
11	7762	50

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x y) (.f64 z t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x y) (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x y) (.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x y) (.f64 z t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x y) (*.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x y) (*.f64 z t)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 4)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x y) (+.f64 (*.f64 z t) (*.f64 a b))) 1)))))

simplify1.8s (10.8%)

Algorithm

1×	egg-herbie

Rules

3086×	`rational.json-simplify-2`
2982×	`rational.json-simplify-51`
2738×	`rational.json-simplify-35`
1472×	`rational.json-simplify-49`
1080×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	3640
1	196	3640
2	520	3640
3	1439	3640
4	2857	3640
5	3555	3640
6	3643	3640
7	3708	3640
8	3758	3640
9	3806	3640
10	3854	3640
11	3902	3640
12	3950	3640
13	3998	3640
14	4046	3640
15	4094	3640
16	4142	3640
17	4190	3640
18	4238	3640
19	5095	3640
20	6607	3640
21	6678	3640
22	6678	3640
23	6678	3640
24	6683	3640
25	6731	3640
26	6779	3640
27	6827	3640
28	6875	3640
29	6923	3640
30	6971	3640
31	7019	3640
32	7067	3640
33	7115	3640

Stop Event

1×	node limit

Counts

160 → 49

Calls

Call 1

Inputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(-.f64 (+.f64 (.f64 x y) (.f64 z t)) 0)
(.f64 (+.f64 (.f64 x y) (*.f64 z t)) 1)
(.f64 1 (+.f64 (.f64 x y) (*.f64 z t)))
(.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))
(.f64 (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4) 4)
(/.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)
(/.f64 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))))) 128)
(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)
(-.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 0)
(.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1)
(.f64 1 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))))
(.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1/2))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 2))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4))
(.f64 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)
(/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1)
(/.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)))))) 128)
(pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1)

Outputs
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 y x)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 y x) (.f64 a b))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 t z)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 y x) (.f64 t z))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(+.f64 (.f64 a b) (+.f64 (.f64 y x) (*.f64 t z)))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(-.f64 (+.f64 (.f64 x y) (.f64 z t)) 0)
(+.f64 (.f64 y x) (.f64 t z))
(.f64 (+.f64 (.f64 x y) (*.f64 z t)) 1)
(+.f64 (.f64 y x) (.f64 t z))
(.f64 1 (+.f64 (.f64 x y) (*.f64 z t)))
(+.f64 (.f64 y x) (.f64 t z))
(.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2))
(+.f64 (.f64 y x) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2) 1/2)
(+.f64 (.f64 y x) (.f64 t z))
(.f64 4 (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))
(+.f64 (.f64 y x) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4) 1/4)
(+.f64 (.f64 y x) (.f64 t z))
(.f64 1/2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 2))
(+.f64 (.f64 y x) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 1/2) 2)
(+.f64 (.f64 y x) (.f64 t z))
(.f64 1/4 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4))
(+.f64 (.f64 y x) (.f64 t z))
(.f64 (/.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4) 4)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 2) 2)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4) 4)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)) 8)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))) 16)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))) 32)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (*.f64 z t)) 4))))) 64)
(+.f64 (.f64 y x) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (.f64 z t)) 4)))))) 128)
(+.f64 (.f64 y x) (.f64 t z))
(pow.f64 (+.f64 (.f64 x y) (.f64 z t)) 1)
(+.f64 (.f64 y x) (.f64 t z))
(-.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 0)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 1)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 1 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1/2))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 2) 1/2)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 4 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4) 1/4)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 1/2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 2))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1/2) 2)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 1/4 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4))
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(.f64 (/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 2) 2)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4) 4)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)) 8)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))) 16)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)))) 32)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (.f64 a b))) 4))))) 64)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 4)))))) 128)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))
(pow.f64 (+.f64 (.f64 x y) (+.f64 (.f64 z t) (*.f64 a b))) 1)
(+.f64 (.f64 y x) (+.f64 (.f64 a b) (*.f64 t z)))

eval8.0ms (0%)

Compiler: Compiled 717 to 242 computations (66.2% saved)

prune10.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Error

0.0b

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
▶	21.7b	(+.f64 (.f64 y x) (.f64 a b))
▶	19.4b	(+.f64 (.f64 t z) (.f64 a b))
▶	40.7b	(*.f64 a b)

Compiler

Compiled 52 to 36 computations (30.8% saved)

localize4.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 t z) (.f64 a b))

Compiler

Compiled 23 to 9 computations (60.9% saved)

series1.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	z	@	-inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	t	@	-inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	t	@	inf	(+.f64 (.f64 t z) (.f64 a b))
0.0ms	z	@	inf	(+.f64 (.f64 t z) (.f64 a b))

rewrite207.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`rational.json-simplify-35`
1684×	`rational.json-simplify-1`
1376×	`exponential.json-3`
1376×	`rational.json-1`
1376×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	59	19
2	123	19
3	257	19
4	478	19
5	1097	19
6	2654	19
7	4704	19
8	5665	19
9	6860	19
10	7801	19
11	7801	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 (.f64 t z) (.f64 a b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 t z) (.f64 a b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 t z) (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 t z) (.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 t z) (.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 t z) (*.f64 a b)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 t z) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 t z) (*.f64 a b)) 1)))))

simplify856.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

5456×	`rational.json-simplify-51`
3522×	`rational.json-simplify-35`
1350×	`rational.json-simplify-49`
1158×	`rational.json-simplify-2`
1142×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	1205
1	124	1205
2	427	1205
3	1176	1205
4	1882	1205
5	2740	1205
6	3236	1205
7	3310	1205
8	3358	1205
9	3390	1205
10	3422	1205
11	3454	1205
12	3486	1205
13	3518	1205
14	3550	1205
15	3582	1205
16	3614	1205
17	3646	1205
18	3678	1205
19	4577	1205
20	4836	1205
21	4929	1205
22	5018	1205
23	5105	1205
24	5191	1205
25	5404	1205
26	5404	1205
27	5490	1205
28	5576	1205
29	5662	1205
30	5748	1205
31	5834	1205
32	5920	1205
33	6006	1205
34	6092	1205
35	6178	1205

Stop Event

1×	node limit

Counts

71 → 26

Calls

Call 1

Inputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(-.f64 (+.f64 (.f64 t z) (.f64 a b)) 0)
(.f64 (+.f64 (.f64 t z) (*.f64 a b)) 1)
(.f64 1 (+.f64 (.f64 t z) (*.f64 a b)))
(.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2) 1/2)
(.f64 4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4) 1/4)
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8) 1/8)
(.f64 1/2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8))
(/.f64 (+.f64 (.f64 t z) (.f64 a b)) 1)
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))))) 256)
(pow.f64 (+.f64 (.f64 t z) (.f64 a b)) 1)

Outputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 t z)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(+.f64 (.f64 a b) (.f64 t z))
(-.f64 (+.f64 (.f64 t z) (.f64 a b)) 0)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (+.f64 (.f64 t z) (*.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 1 (+.f64 (.f64 t z) (*.f64 a b)))
(+.f64 (.f64 a b) (.f64 t z))
(.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2))
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2) 1/2)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4))
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4) 1/4)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8) 1/8)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 1/2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 2))
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/2) 2)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 1/4 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 4))
(+.f64 (.f64 a b) (.f64 t z))
(.f64 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 1/4) 4)
(+.f64 (.f64 a b) (.f64 t z))
(.f64 1/8 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8))
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (+.f64 (.f64 t z) (.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 2) 2)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 4) 4)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8) 8)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)) 16)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8))) 32)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))) 64)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (*.f64 a b)) 8))))) 128)
(+.f64 (.f64 a b) (.f64 t z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 t z) (.f64 a b)) 8)))))) 256)
(+.f64 (.f64 a b) (.f64 t z))
(pow.f64 (+.f64 (.f64 t z) (.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 t z))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 9 computations (60.9% saved)

series1.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite210.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`rational.json-simplify-35`
1684×	`rational.json-simplify-1`
1376×	`exponential.json-3`
1376×	`rational.json-1`
1376×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	59	19
2	123	19
3	257	19
4	478	19
5	1097	19
6	2654	19
7	4704	19
8	5665	19
9	6860	19
10	7801	19
11	7801	19

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (.f64 a b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y x) (*.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y x) (*.f64 a b)) 1)))))

simplify856.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

5456×	`rational.json-simplify-51`
3522×	`rational.json-simplify-35`
1350×	`rational.json-simplify-49`
1158×	`rational.json-simplify-2`
1142×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	1205
1	124	1205
2	427	1205
3	1176	1205
4	1882	1205
5	2740	1205
6	3236	1205
7	3310	1205
8	3358	1205
9	3390	1205
10	3422	1205
11	3454	1205
12	3486	1205
13	3518	1205
14	3550	1205
15	3582	1205
16	3614	1205
17	3646	1205
18	3678	1205
19	4577	1205
20	4836	1205
21	4929	1205
22	5018	1205
23	5105	1205
24	5191	1205
25	5404	1205
26	5404	1205
27	5490	1205
28	5576	1205
29	5662	1205
30	5748	1205
31	5834	1205
32	5920	1205
33	6006	1205
34	6092	1205
35	6178	1205

Stop Event

1×	node limit

Counts

71 → 26

Calls

Call 1

Inputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(-.f64 (+.f64 (.f64 y x) (.f64 a b)) 0)
(.f64 (+.f64 (.f64 y x) (*.f64 a b)) 1)
(.f64 1 (+.f64 (.f64 y x) (*.f64 a b)))
(.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/2))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 2) 1/2)
(.f64 4 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/4))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 4) 1/4)
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8) 1/8)
(.f64 1/2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 2))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 4))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8))
(/.f64 (+.f64 (.f64 y x) (.f64 a b)) 1)
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)))))) 256)
(pow.f64 (+.f64 (.f64 y x) (.f64 a b)) 1)

Outputs
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(+.f64 (.f64 a b) (.f64 y x))
(-.f64 (+.f64 (.f64 y x) (.f64 a b)) 0)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (+.f64 (.f64 y x) (*.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 1 (+.f64 (.f64 y x) (*.f64 a b)))
(+.f64 (.f64 a b) (.f64 y x))
(.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/2))
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 2) 1/2)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 4 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/4))
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 4) 1/4)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8) 1/8)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 1/2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 2))
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/2) 2)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 1/4 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 4))
(+.f64 (.f64 a b) (.f64 y x))
(.f64 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 1/4) 4)
(+.f64 (.f64 a b) (.f64 y x))
(.f64 1/8 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8))
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (+.f64 (.f64 y x) (.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 2) 2)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 4) 4)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8) 8)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)) 16)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8))) 32)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)))) 64)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (*.f64 a b)) 8))))) 128)
(+.f64 (.f64 a b) (.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y x) (.f64 a b)) 8)))))) 256)
(+.f64 (.f64 a b) (.f64 y x))
(pow.f64 (+.f64 (.f64 y x) (.f64 a b)) 1)
(+.f64 (.f64 a b) (.f64 y x))

eval8.0ms (0%)

Compiler: Compiled 578 to 237 computations (59% saved)

prune13.0ms (0.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	50	6	56

Error

0.0b

Counts

56 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
✓	21.7b	(+.f64 (.f64 y x) (.f64 a b))
✓	19.4b	(+.f64 (.f64 t z) (.f64 a b))
▶	43.8b	(*.f64 y x)
▶	41.5b	(*.f64 t z)
✓	40.7b	(*.f64 a b)

Compiler

Compiled 70 to 50 computations (28.6% saved)

localize5.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize4.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Compiler: Compiled 6 to 6 computations (0% saved)

prune3.0ms (0%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	5	5
Total	6	6

Error

0.0b

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
✓	21.7b	(+.f64 (.f64 y x) (.f64 a b))
✓	19.4b	(+.f64 (.f64 t z) (.f64 a b))
✓	43.8b	(*.f64 y x)
✓	41.5b	(*.f64 t z)
✓	40.7b	(*.f64 a b)

Compiler

Compiled 70 to 50 computations (28.6% saved)

regimes1.0s (6.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

11 calls:

770.0ms	z
202.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
5.0ms	a
5.0ms	(+.f64 (.f64 x y) (.f64 z t))
5.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`t`
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))`
0.0b	1	`(+.f64 (.f64 x y) (.f64 z t))`
0.0b	1	`(*.f64 x y)`
0.0b	1	`(*.f64 z t)`
0.0b	1	`(*.f64 a b)`

Compiler

Compiled 139 to 92 computations (33.8% saved)

regimes154.0ms (0.9%)

Counts

5 → 5

Calls

Call 1

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

Outputs
(+.f64 (.f64 t z) (.f64 a b))
(+.f64 (.f64 y x) (.f64 a b))
(+.f64 (.f64 t z) (.f64 a b))
(+.f64 (.f64 y x) (.f64 a b))
(+.f64 (.f64 t z) (.f64 a b))

Calls

7 calls:

33.0ms	a
23.0ms	(*.f64 a b)
22.0ms	t
21.0ms	z
21.0ms	b

Results

Error	Segments	Branch
11.4b	3	`x`
12.2b	3	`y`
8.5b	5	`z`
8.7b	5	`t`
13.7b	8	`a`
14.4b	5	`b`
15.6b	5	`(*.f64 a b)`

Compiler

Compiled 80 to 54 computations (32.5% saved)

bsearch43.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
0.0ms	1.540602254683493e-104	1.5873273802361234e-104
15.0ms	-4.271714563109692e-93	-6.14408019845269e-97
11.0ms	-4.9489866768753115e-48	-8.519348270695706e-49
16.0ms	-2.2497366346240505e+50	-2.1403919134783494e+47

Results

37.0ms	352×	body	256	valid
1.0ms	11×	body	256	infinite

Compiler

Compiled 642 to 459 computations (28.5% saved)

regimes125.0ms (0.8%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

7 calls:

29.0ms	z
23.0ms	x
20.0ms	y
15.0ms	b
14.0ms	(*.f64 a b)

Results

Error	Segments	Branch
13.3b	5	`x`
14.9b	4	`y`
14.2b	7	`z`
18.0b	3	`t`
17.7b	3	`a`
17.2b	3	`b`
16.9b	3	`(*.f64 a b)`

Compiler

Compiled 73 to 53 computations (27.4% saved)

bsearch59.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
13.0ms	9.881478079312102e-94	7.156637911933004e-93
15.0ms	-2.256824450443143e+79	-4.3511721830603996e+77
16.0ms	-1.0542151996332628e+112	-5.632484161569761e+109
16.0ms	-5.190521675014361e+143	-5.045532682358022e+141

Results

50.0ms	432×	body	256	valid
4.0ms	38×	body	256	infinite

Compiler

Compiled 674 to 505 computations (25.1% saved)

regimes208.0ms (1.3%)

Counts

3 → 11

Calls

Call 1

Inputs
(*.f64 a b)
(*.f64 t z)
(*.f64 y x)

Outputs
(*.f64 t z)
(*.f64 a b)
(*.f64 y x)
(*.f64 a b)
(*.f64 y x)
(*.f64 a b)
(*.f64 y x)
(*.f64 a b)
(*.f64 y x)
(*.f64 a b)
(*.f64 t z)

Calls

7 calls:

40.0ms	z
33.0ms	(*.f64 a b)
32.0ms	a
30.0ms	y
29.0ms	x

Results

Error	Segments	Branch
28.5b	8	`x`
28.2b	8	`y`
23.4b	11	`z`
28.0b	6	`t`
27.1b	8	`a`
29.4b	5	`b`
23.6b	10	`(*.f64 a b)`

Compiler

Compiled 66 to 52 computations (21.2% saved)

bsearch164.0ms (1%)

Algorithm

10×	binary-search

Steps

Time	Left	Right
11.0ms	1.4231474200328664e-98	1.05751197324545e-97
19.0ms	7.015633400012796e-207	6.813485665450702e-190
18.0ms	1.0904116236475455e-298	1.6000560080963753e-292
22.0ms	-1.879496843862151e-266	-4.8823570767496547e-287
14.0ms	-5.6584341502135746e-254	-2.425268817086224e-256
12.0ms	-2.4228242980520465e-211	-3.800307457912788e-212
18.0ms	-1.636489839335843e-159	-2.954836459504426e-166
18.0ms	-1833595500.6761835	-88130104.18241411
12.0ms	-3.021133101932317e+29	-5.487999806523793e+28
21.0ms	-2.1394793201422396e+119	-4.5139981066399615e+112

Results

147.0ms	1280×	body	256	valid
2.0ms	21×	body	256	infinite

Compiler

Compiled 1626 to 1299 computations (20.1% saved)

regimes87.0ms (0.5%)

Accuracy

Total -33.4b remaining (-116%)

Threshold costs -33.4b (-116%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 a b)
(*.f64 t z)

Outputs
(*.f64 a b)
(*.f64 t z)
(*.f64 a b)

Calls

7 calls:

17.0ms	y
17.0ms	x
12.0ms	b
12.0ms	(*.f64 a b)
11.0ms	t

Results

Error	Segments	Branch
35.1b	6	`x`
34.8b	6	`y`
29.9b	3	`z`
31.3b	3	`t`
31.1b	3	`a`
33.3b	3	`b`
28.8b	3	`(*.f64 a b)`

Compiler

Compiled 63 to 51 computations (19% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	4.651102453278589e-34	2.6007814514741497e-27
15.0ms	-1.7083961089523791e+44	-8.480036501272722e+39

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 332 to 274 computations (17.5% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	482

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 z -245000000000000014798713466774002436674791931904) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z -1933467854852417/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 z -4659508484223285/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z 5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (+.f64 (.f64 y x) (.f64 a b)) (+.f64 (.f64 t z) (.f64 a b))))))
(if (<=.f64 x -250000000000000005936358089662776339352164481957170546868366247167559357385505143142044407054020823532336492283460029018948353292472520393359360) (.f64 y x) (if (<=.f64 x -7999999999999999654558181133134526067240835818067026254363169724983060860968891905231543447579458576357991120896) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 x -11999999999999999279171178543673414636301847816509874899372056415643631196569600) (.f64 y x) (if (<=.f64 x 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (+.f64 (.f64 t z) (.f64 a b)) (*.f64 y x)))))
(if (<=.f64 z -1100000000000000069609375137205813511635074987436080345182813979911015633499725827430355909691574349808143157507915776) (.f64 t z) (if (<=.f64 z -269999999999999999739349172224) (.f64 a b) (if (<=.f64 z -1100000000) (.f64 y x) (if (<=.f64 z -272063441620415/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 a b) (if (<=.f64 z -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 y x) (if (<=.f64 z -4057301999121909/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a b) (if (<=.f64 z -1767989201857341/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (.f64 y x) (if (<=.f64 z 5982722752821787/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (.f64 a b) (if (<=.f64 z 5365626521545613/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 z 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (.f64 a b) (*.f64 t z)))))))))))
(if (<=.f64 (.f64 a b) -10999999999999999487916557539463611285504) (.f64 a b) (if (<=.f64 (.f64 a b) 5663318844657249/365375409332725729550921208179070754913983135744) (.f64 t z) (*.f64 a b)))
(*.f64 a b)

Outputs
(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
(if (<=.f64 z -245000000000000014798713466774002436674791931904) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z -1933467854852417/411376139330301510538742295639337626245683966408394965837152256) (+.f64 (.f64 y x) (.f64 a b)) (if (<=.f64 z -4659508484223285/300613450595050653169853516389035139504087366260264943450533244356122755214669880763353471793250393988087676928) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 z 5003109138793385/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672) (+.f64 (.f64 y x) (.f64 a b)) (+.f64 (.f64 t z) (.f64 a b))))))
(if (<=.f64 x -250000000000000005936358089662776339352164481957170546868366247167559357385505143142044407054020823532336492283460029018948353292472520393359360) (.f64 y x) (if (<=.f64 x -7999999999999999654558181133134526067240835818067026254363169724983060860968891905231543447579458576357991120896) (+.f64 (.f64 t z) (.f64 a b)) (if (<=.f64 x -11999999999999999279171178543673414636301847816509874899372056415643631196569600) (.f64 y x) (if (<=.f64 x 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248) (+.f64 (.f64 t z) (.f64 a b)) (*.f64 y x)))))
(if (<=.f64 z -1100000000000000069609375137205813511635074987436080345182813979911015633499725827430355909691574349808143157507915776) (.f64 t z) (if (<=.f64 z -269999999999999999739349172224) (.f64 a b) (if (<=.f64 z -1100000000) (.f64 y x) (if (<=.f64 z -272063441620415/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136) (.f64 a b) (if (<=.f64 z -1847784594718251/47379092172262845921294540053176957863064148471578876072358765808900480733837185251796826441303908628860099203403658239934435426150964794660775368501012608007948455078761288621529091968737745508583465551566054344204493617364992) (.f64 y x) (if (<=.f64 z -4057301999121909/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 a b) (if (<=.f64 z -1767989201857341/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672) (.f64 y x) (if (<=.f64 z 5982722752821787/92041888504950574475740425768398066361240421321846096523996201552759130012416493123946740389072658442813498306494153399121300361632981310716337884487410751681417161433531128461466736435838000189159978471467522953645133149359340995314643512596903545427635461470508184698852989920501614748075702440767602758254592) (.f64 a b) (if (<=.f64 z 5365626521545613/2824013958708217496949108842204627863351353911851577524683401930862693830361198499905873920995229996970897865498283996578123296865878390947626553088486946106430796091482716120572632072492703527723757359478834530365734912) (.f64 y x) (if (<=.f64 z 7849618421937963/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (.f64 a b) (*.f64 t z)))))))))))
(if (<=.f64 (.f64 a b) -10999999999999999487916557539463611285504) (.f64 a b) (if (<=.f64 (.f64 a b) 5663318844657249/365375409332725729550921208179070754913983135744) (.f64 t z) (*.f64 a b)))
(*.f64 a b)

Compiler

Compiled 234 to 116 computations (50.4% saved)

soundness0.0ms (0%)

end62.0ms (0.4%)

Remove

(sort a b)

(sort z t)

(sort x y)

Compiler

Compiled 306 to 141 computations (53.9% saved)

Details

analyze2.3s (13.8%)

sample7.0s (42.8%)

preprocess201.0ms (1.2%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize773.0ms (4.7%)

series7.0ms (0%)

rewrite222.0ms (1.4%)

simplify1.8s (10.8%)

eval8.0ms (0%)

prune10.0ms (0.1%)

localize4.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite207.0ms (1.3%)

simplify856.0ms (5.2%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite210.0ms (1.3%)

simplify856.0ms (5.2%)

eval8.0ms (0%)

prune13.0ms (0.1%)

localize5.0ms (0%)

localize4.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes1.0s (6.2%)

regimes154.0ms (0.9%)

bsearch43.0ms (0.3%)

regimes125.0ms (0.8%)

bsearch59.0ms (0.4%)

regimes208.0ms (1.3%)

bsearch164.0ms (1%)

regimes87.0ms (0.5%)

bsearch31.0ms (0.2%)

simplify7.0ms (0%)

soundness0.0ms (0%)

end62.0ms (0.4%)

Profiling