Details

analyze285.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
9.4%	9.4%	90.4%	0.2%	0%	0%	0%	10
12.7%	12.5%	85.6%	0.2%	1.8%	0%	0%	11
17.8%	17.2%	79.4%	0.2%	3.2%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.2s (4.5%)

Results

810.0ms	8256×	body	256	valid
385.0ms	3902×	body	256	infinite

Bogosity

preprocess12.0ms (0%)

Algorithm

2×	egg-herbie

Rules

14×	`rational.json-simplify-1`
12×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	175
1	44	175
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	12	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
✓	0.1b	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series6.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`rational.json-1`
1800×	`rational.json-simplify-35`
1164×	`rational.json-simplify-2`
1154×	`exponential.json-3`
1154×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	64	44
2	136	44
3	302	44
4	586	44
5	1404	44
6	3043	44
7	5284	44
8	7895	44

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

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

Outputs

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

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

simplify473.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2504×	`rational.json-simplify-35`
2262×	`rational.json-simplify-2`
1064×	`rational.json-simplify-1`
884×	`rational.json-simplify-53`
842×	`exponential.json-simplify-26`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	112	4721
1	246	3307
2	567	3307
3	1423	3239
4	2651	3223
5	3417	3223
6	3774	3223
7	4270	3223
8	4682	3223
9	5044	2975
10	5794	2975
11	6319	2975
12	6522	2975
13	6744	2975
14	7043	2975
15	7174	2975
16	7449	2975
17	7825	2975

Stop Event

1×	node limit

Counts

131 → 94

Calls

Call 1

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

eval14.0ms (0.1%)

Compiler: Compiled 1132 to 399 computations (64.8% saved)

prune17.0ms (0.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	87	7	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	7	95

Error

0.0b

Counts

95 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(+.f64 (.f64 (-.f64 t x) y) (+.f64 x (.f64 (-.f64 t x) (*.f64 z -1))))
▶	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
	0.0b	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z (-.f64 y 1))))
▶	0.0b	(+.f64 (.f64 -1 (.f64 (-.f64 y z) x)) (+.f64 (*.f64 t (-.f64 y z)) x))
▶	23.7b	(+.f64 x (*.f64 z (-.f64 x t)))
▶	20.6b	(+.f64 x (*.f64 t (-.f64 y z)))
▶	28.6b	(*.f64 x (-.f64 z (-.f64 y 1)))

Compiler

Compiled 198 to 124 computations (37.4% saved)

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 51 to 14 computations (72.5% saved)

series9.0ms (0%)

Counts

3 → 90

Calls

30 calls:

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

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-1`
1694×	`rational.json-2`
1694×	`rational.json-3`
1314×	`rational.json-simplify-35`
1070×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	69
1	93	67
2	210	55
3	454	55
4	993	55
5	2260	55
6	4342	55
7	7210	55

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

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

Outputs

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

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

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

simplify233.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

2252×	`rational.json-simplify-2`
1870×	`rational.json-simplify-35`
1420×	`rational.json-simplify-1`
872×	`rational.json-simplify-48`
788×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	174	4127
1	412	3873
2	913	3327
3	2073	3229
4	4099	3225
5	4834	3225
6	5507	3225
7	5943	3225
8	6399	3225
9	6961	3225

Stop Event

1×	node limit

Counts

139 → 139

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`rational.json-1`
1652×	`rational.json-2`
1652×	`rational.json-3`
1648×	`rational.json-simplify-35`
1086×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	71	19
2	167	19
3	324	19
4	630	19
5	1443	19
6	3064	19
7	4959	19
8	7323	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify542.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3318×	`rational.json-simplify-2`
2936×	`rational.json-simplify-35`
1798×	`rational.json-simplify-53`
932×	`exponential.json-simplify-26`
848×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	883
1	132	879
2	245	879
3	518	879
4	1839	879
5	3560	879
6	4099	879
7	4270	879
8	4394	879
9	4515	879
10	4635	879
11	5629	879
12	6650	879
13	6653	879
14	6653	879
15	6788	879
16	6909	879
17	7030	879
18	7151	879
19	7614	879

Stop Event

1×	node limit

Counts

49 → 29

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 t (-.f64 y z))

Compiler

Compiled 23 to 7 computations (69.6% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series3.0ms (0%)

Counts

2 → 60

Calls

18 calls:

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

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1576×	`rational.json-simplify-35`
1284×	`rational.json-2`
1284×	`rational.json-3`
1276×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	114	32
3	248	32
4	474	32
5	1114	32
6	3168	32
7	5874	32
8	7868	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f64 z (-.f64 x t))
(+.f64 x (*.f64 z (-.f64 x t)))

Outputs

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

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

simplify451.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3950×	`rational.json-simplify-41`
2378×	`rational.json-simplify-35`
1980×	`rational.json-simplify-2`
696×	`rational.json-simplify-53`
682×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	1984
1	211	1888
2	546	1690
3	1430	1690
4	2703	1558
5	3479	1558
6	3915	1558
7	4203	1558
8	4383	1558
9	4520	1558
10	4647	1558
11	5010	1558
12	5174	1558
13	5228	1558
14	5279	1558
15	5385	1558
16	5466	1558
17	5524	1558
18	5648	1558
19	5772	1558

Stop Event

1×	node limit

Counts

94 → 54

Calls

Call 1

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

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

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0%)

Counts

2 → 57

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 y (-.f64 t x))
1.0ms	y	@	inf	(+.f64 (*.f64 y (-.f64 t x)) x)
0.0ms	y	@	inf	(*.f64 y (-.f64 t x))
0.0ms	t	@	-inf	(*.f64 y (-.f64 t x))
0.0ms	t	@	inf	(*.f64 y (-.f64 t x))

rewrite115.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1576×	`rational.json-simplify-35`
1284×	`rational.json-2`
1284×	`rational.json-3`
1276×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	114	32
3	248	32
4	474	32
5	1114	32
6	3170	32
7	5881	32
8	7875	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify463.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3688×	`rational.json-simplify-41`
2412×	`rational.json-simplify-35`
2064×	`rational.json-simplify-2`
750×	`rational.json-simplify-53`
678×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1855
1	213	1609
2	545	1609
3	1431	1565
4	2708	1565
5	3485	1565
6	3919	1565
7	4232	1565
8	4427	1565
9	4557	1565
10	4685	1565
11	5084	1565
12	5250	1565
13	5308	1565
14	5359	1565
15	5477	1565
16	5573	1565
17	5643	1565
18	5775	1565
19	5905	1565

Stop Event

1×	node limit

Counts

91 → 61

Calls

Call 1

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

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

eval52.0ms (0.2%)

Compiler: Compiled 3795 to 1603 computations (57.8% saved)

prune60.0ms (0.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	289	14	303
Fresh	2	0	2
Picked	0	1	1
Done	3	1	4
Total	294	16	310

Error

0.0b

Counts

310 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(+.f64 (.f64 z x) (+.f64 x (.f64 t (neg.f64 z))))
▶	28.6b	(+.f64 (.f64 z x) (.f64 (-.f64 1 y) x))
▶	38.3b	(+.f64 (*.f64 z x) x)
✓	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
	34.7b	(+.f64 (*.f64 y t) x)
	24.8b	(+.f64 (.f64 -1 (.f64 y x)) (+.f64 x (*.f64 y t)))
▶	20.6b	(+.f64 x (+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t)))
	34.0b	(+.f64 x (*.f64 z (neg.f64 t)))
	38.4b	(*.f64 (-.f64 1 y) x)
	38.5b	(*.f64 z (+.f64 x (neg.f64 t)))
▶	53.0b	(*.f64 z x)
▶	39.3b	(*.f64 y (-.f64 t x))
	53.0b	(*.f64 y (neg.f64 x))
✓	28.6b	(*.f64 x (-.f64 z (-.f64 y 1)))
	35.2b	(*.f64 t (-.f64 y z))
	47.8b	x

Compiler

Compiled 301 to 207 computations (31.2% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))

Compiler

Compiled 40 to 16 computations (60% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))
0.0ms	t	@	inf	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))
0.0ms	z	@	0	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))
0.0ms	y	@	0	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))
0.0ms	t	@	-inf	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))

rewrite120.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-simplify-35`
1594×	`rational.json-1`
1594×	`rational.json-2`
1594×	`rational.json-3`
1568×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	72	23
2	164	17
3	335	17
4	674	17
5	1692	17
6	3548	17
7	5485	17
8	7398	17

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify270.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2038×	`rational.json-simplify-2`
1990×	`rational.json-simplify-1`
1644×	`rational.json-simplify-35`
1260×	`rational.json-simplify-41`
914×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	96	1560
1	218	1192
2	575	1192
3	1962	1192
4	3937	1192
5	5536	1192
6	5793	1192
7	6006	1192
8	6183	1192
9	6328	1192
10	6848	1192
11	7644	1192
12	7791	1192

Stop Event

1×	node limit

Counts

70 → 47

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 6 computations (60% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 6 computations (57.1% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

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

rewrite196.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`rational.json-simplify-1`
1654×	`rational.json-simplify-35`
1514×	`exponential.json-3`
1514×	`rational.json-1`
1514×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	94	13
3	209	13
4	397	13
5	907	13
6	2467	13
7	4683	13
8	5582	13
9	6931	13
10	7998	13
11	7998	13

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 (*.f64 z x) x)

Outputs

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

simplify142.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1880×	`rational.json-simplify-35`
1270×	`rational.json-simplify-51`
1184×	`rational.json-simplify-41`
1036×	`rational.json-simplify-2`
770×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	105	767
1	250	767
2	485	767
3	885	767
4	1621	767
5	4535	767
6	5752	767
7	6384	767
8	6964	767
9	7408	767

Stop Event

1×	node limit

Counts

59 → 49

Calls

Call 1

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

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

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 z x) (.f64 (-.f64 1 y) x))
✓	0.0b	(*.f64 (-.f64 1 y) x)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

2 → 39

Calls

15 calls:

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

rewrite198.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2792×	`rational.json-simplify-2`
1406×	`rational.json-simplify-35`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	75	32
2	164	32
3	324	32
4	607	32
5	1383	32
6	2889	32
7	4476	32
8	5857	32
9	6746	32
10	6798	32
11	6843	32

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2442×	`rational.json-simplify-2`
1984×	`rational.json-simplify-35`
1040×	`rational.json-simplify-51`
878×	`exponential.json-simplify-26`
874×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	116	1600
1	280	1546
2	630	1546
3	1913	1546
4	4292	1454
5	5289	1454
6	5571	1454
7	5823	1454
8	6076	1454
9	6412	1454

Stop Event

1×	node limit

Counts

88 → 71

Calls

Call 1

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

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

eval36.0ms (0.1%)

Compiler: Compiled 1951 to 1118 computations (42.7% saved)

prune232.0ms (0.9%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	9	9
Picked	1	0	1
Done	1	5	6
Total	186	17	203

Error

0.0b

Counts

203 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(+.f64 (.f64 z x) (+.f64 x (.f64 t (neg.f64 z))))
	43.5b	(+.f64 (.f64 z x) (.f64 y (neg.f64 x)))
✓	38.3b	(+.f64 (*.f64 z x) x)
✓	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
▶	34.7b	(+.f64 (*.f64 y t) x)
	24.8b	(+.f64 (.f64 -1 (.f64 y x)) (+.f64 x (*.f64 y t)))
▶	20.6b	(+.f64 x (+.f64 (.f64 y t) (.f64 t (neg.f64 z))))
▶	34.0b	(+.f64 x (*.f64 z (neg.f64 t)))
	38.4b	(*.f64 (-.f64 1 y) x)
	38.5b	(*.f64 z (+.f64 x (neg.f64 t)))
✓	53.0b	(*.f64 z x)
✓	39.3b	(*.f64 y (-.f64 t x))
	53.0b	(*.f64 y (neg.f64 x))
▶	49.2b	(*.f64 y t)
✓	28.6b	(*.f64 x (-.f64 z (-.f64 y 1)))
▶	35.2b	(*.f64 t (-.f64 y z))
	47.8b	x

Compiler

Compiled 286 to 196 computations (31.5% saved)

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite287.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-simplify-35`
1616×	`rational.json-1`
1616×	`rational.json-2`
1616×	`rational.json-3`
1596×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	69	17
2	156	17
3	348	17
4	704	17
5	1726	17
6	3526	17
7	5538	17
8	7406	17

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(+.f64 (.f64 y t) (.f64 t (neg.f64 z)))

Outputs

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

simplify1.2s (4.3%)

Algorithm

1×	egg-herbie

Rules

2946×	`rational.json-simplify-35`
2284×	`rational.json-simplify-2`
1554×	`rational.json-simplify-1`
956×	`rational.json-simplify-41`
896×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1511
1	203	1141
2	461	1141
3	1488	1141
4	3262	1141
5	4660	1141
6	4993	1141
7	5258	1141
8	5413	1141
9	5519	1141
10	5613	1141
11	6486	1141
12	6596	1141
13	6704	1141
14	6830	1141
15	6962	1141
16	7078	1141
17	7114	1141
18	7189	1141
19	7257	1141
20	7268	1141
21	7270	1141
22	7354	1141
23	7438	1141
24	7522	1141
25	7606	1141
26	7690	1141
27	7774	1141
28	7858	1141
29	7942	1141

Stop Event

1×	node limit

Counts

69 → 43

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 t (-.f64 y z))

Compiler

Compiled 15 to 6 computations (60% saved)

localize5.0ms (0%)

Compiler: Compiled 15 to 6 computations (60% saved)

localize7.0ms (0%)

Compiler: Compiled 19 to 7 computations (63.2% saved)

eval11.0ms (0%)

Compiler: Compiled 675 to 311 computations (53.9% saved)

prune17.0ms (0.1%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	0	7	7
Picked	0	1	1
Done	1	8	9
Total	62	18	80

Error

0.0b

Counts

80 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	23.7b	(+.f64 (.f64 z x) (+.f64 x (.f64 t (neg.f64 z))))
	43.5b	(+.f64 (.f64 z x) (.f64 y (neg.f64 x)))
✓	38.3b	(+.f64 (*.f64 z x) x)
✓	24.7b	(+.f64 (*.f64 y (-.f64 t x)) x)
✓	34.7b	(+.f64 (*.f64 y t) x)
	35.2b	(+.f64 (.f64 -1 (.f64 z t)) (*.f64 y t))
	24.8b	(+.f64 (.f64 -1 (.f64 y x)) (+.f64 x (*.f64 y t)))
✓	34.0b	(+.f64 x (*.f64 z (neg.f64 t)))
	38.4b	(*.f64 (-.f64 1 y) x)
	38.5b	(*.f64 z (+.f64 x (neg.f64 t)))
	48.6b	(*.f64 z (neg.f64 t))
✓	53.0b	(*.f64 z x)
✓	39.3b	(*.f64 y (-.f64 t x))
	53.0b	(*.f64 y (neg.f64 x))
✓	49.2b	(*.f64 y t)
✓	28.6b	(*.f64 x (-.f64 z (-.f64 y 1)))
✓	35.2b	(*.f64 t (-.f64 y z))
	47.8b	x

Compiler

Compiled 176 to 122 computations (30.7% saved)

regimes89.0ms (0.3%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

6 calls:

15.0ms	(-.f64 y z)
14.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
14.0ms	z
14.0ms	t
13.0ms	y

Results

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

Compiler

Compiled 244 to 102 computations (58.2% saved)

regimes81.0ms (0.3%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

6 calls:

14.0ms	t
13.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
13.0ms	(-.f64 y z)
12.0ms	x
12.0ms	y

Results

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

Compiler

Compiled 201 to 86 computations (57.2% saved)

regimes223.0ms (0.8%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

5 calls:

66.0ms	(-.f64 y z)
51.0ms	z
51.0ms	y
27.0ms	t
25.0ms	x

Results

Error	Segments	Branch
10.9b	3	`x`
7.3b	5	`y`
8.0b	6	`z`
12.4b	3	`t`
12.4b	7	`(-.f64 y z)`

Compiler

Compiled 119 to 53 computations (55.5% saved)

bsearch63.0ms (0.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
18.0ms	7.174892701627739	12173.318849706826
16.0ms	4.677448298044943e-109	2.246217174067452e-102
10.0ms	7.678347565289115e-181	9.414397666469122e-180
19.0ms	-2448345.140329242	-1.559706059784629e-14

Results

56.0ms	544×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 836 to 558 computations (33.3% saved)

regimes479.0ms (1.8%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

5 calls:

229.0ms	(-.f64 y z)
100.0ms	y
98.0ms	z
25.0ms	x
24.0ms	t

Results

Error	Segments	Branch
10.9b	3	`x`
7.6b	5	`y`
12.2b	5	`z`
12.4b	3	`t`
12.5b	7	`(-.f64 y z)`

Compiler

Compiled 104 to 51 computations (51% saved)

bsearch141.0ms (0.5%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
14.0ms	7.174892701627739	12173.318849706826
97.0ms	4.677448298044943e-109	2.246217174067452e-102
10.0ms	7.678347565289115e-181	9.414397666469122e-180
19.0ms	-2448345.140329242	-1.559706059784629e-14

Results

134.0ms	544×	body	256	valid
0.0ms	3×	body	256	infinite

Compiler

Compiled 798 to 539 computations (32.5% saved)

regimes245.0ms (0.9%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

109.0ms	(-.f64 y z)
39.0ms	z
38.0ms	y
31.0ms	x
25.0ms	t

Results

Error	Segments	Branch
10.9b	3	`x`
12.0b	5	`y`
12.2b	5	`z`
12.4b	3	`t`
12.5b	7	`(-.f64 y z)`

Compiler

Compiled 97 to 48 computations (50.5% saved)

bsearch30.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
12.0ms	2.6510541814148047e-51	4.604327262613163e-50
17.0ms	-2.7962392979372622e-14	-9.809194844403807e-29

Results

26.0ms

272×

body

256

valid

Compiler

Compiled 428 to 303 computations (29.2% saved)

regimes1.0s (3.7%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

5 calls:

500.0ms	x
221.0ms	t
155.0ms	y
66.0ms	(-.f64 y z)
56.0ms	z

Results

Error	Segments	Branch
13.7b	3	`x`
15.2b	6	`y`
15.2b	8	`z`
16.3b	5	`t`
15.6b	8	`(-.f64 y z)`

Compiler

Compiled 90 to 47 computations (47.8% saved)

bsearch36.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	2.0480343758121995e-111	1.9586768025476085e-105
20.0ms	-4.7402938438677796e-58	-1.0270180181328715e-84

Results

31.0ms

320×

body

256

valid

Compiler

Compiled 460 to 334 computations (27.4% saved)

regimes657.0ms (2.4%)

Counts

12 → 10

Calls

Call 1

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

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

Calls

5 calls:

210.0ms	x
184.0ms	t
135.0ms	y
72.0ms	(-.f64 y z)
53.0ms	z

Results

Error	Segments	Branch
17.2b	7	`x`
15.2b	6	`y`
15.6b	7	`z`
22.5b	5	`t`
14.5b	10	`(-.f64 y z)`

Compiler

Compiled 83 to 43 computations (48.2% saved)

bsearch1.0ms (0%)

Algorithm

9×	left-value

Steps

Time	Left	Right
0.0ms	1.2695654251372624e+245	2.2150525162060946e+250
0.0ms	3.815163121367986e+66	6.445698372874459e+68
0.0ms	8.17202554365956e+51	2.962190306199088e+52
0.0ms	6.228546834755937e+19	3.814425356790302e+20
0.0ms	1.1298553150303516e-8	12173.318849706826
0.0ms	7.013063964683148e-170	6.569952020780987e-165
0.0ms	-6.0409289899067435e-15	-5.215733169631198e-30
0.0ms	-2.0186874170589898e+20	-91088678249695570.0
0.0ms	-1.147263277641819e+81	-3.9650429711432886e+74

Compiler

Compiled 20 to 14 computations (30% saved)

regimes200.0ms (0.7%)

Counts

11 → 8

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	y
47.0ms	x
43.0ms	(-.f64 y z)
32.0ms	z
19.0ms	t

Results

Error	Segments	Branch
17.4b	7	`x`
15.9b	8	`y`
16.7b	5	`z`
23.9b	3	`t`
17.9b	6	`(-.f64 y z)`

Compiler

Compiled 77 to 42 computations (45.5% saved)

bsearch101.0ms (0.4%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
16.0ms	1.810765520404689e-8	2.3177342517533557e-5
13.0ms	1.4388742604093385e-97	1.1294996657833438e-95
13.0ms	1.4768761031431446e-176	2.797093739196828e-175
17.0ms	1.1188660288427476e-301	1.0763724221707645e-298
20.0ms	-5.574924796950343e-195	-4.2127051223933847e-206
17.0ms	-7.005008208389028e-48	-2.8185725447949752e-56
4.0ms	-4.9574121135549694e+30	-4.4298155336180335e+30

Results

91.0ms	816×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 1058 to 746 computations (29.5% saved)

regimes245.0ms (0.9%)

Counts

10 → 7

Calls

Call 1

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

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

Calls

5 calls:

88.0ms	z
49.0ms	(-.f64 y z)
43.0ms	y
43.0ms	x
19.0ms	t

Results

Error	Segments	Branch
17.4b	7	`x`
17.8b	6	`y`
19.4b	13	`z`
23.9b	3	`t`
20.4b	8	`(-.f64 y z)`

Compiler

Compiled 71 to 40 computations (43.7% saved)

bsearch96.0ms (0.4%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
28.0ms	1.044288634123302e+185	3.997202401234908e+198
17.0ms	2.0480343758121995e-111	1.9586768025476085e-105
7.0ms	-7.005534584158213e-39	-3.5792686018962145e-39
11.0ms	-3.3836725872524124e-37	-2.478189104327587e-38
17.0ms	-0.2135086124743686	-0.00019511069032067258
16.0ms	-1.4198536808157495e+61	-2.856969670008511e+57

Results

76.0ms	720×	body	256	valid
11.0ms	96×	body	256	infinite

Compiler

Compiled 920 to 654 computations (28.9% saved)

regimes672.0ms (2.5%)

Counts

9 → 8

Calls

Call 1

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

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

Calls

5 calls:

220.0ms	y
179.0ms	x
140.0ms	(-.f64 y z)
81.0ms	t
51.0ms	z

Results

Error	Segments	Branch
20.9b	5	`x`
22.1b	6	`y`
20.8b	9	`z`
25.3b	3	`t`
20.4b	8	`(-.f64 y z)`

Compiler

Compiled 66 to 39 computations (40.9% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	1.0547823142741834e+229	9.372730423301075e+234
0.0ms	7.780274741540175e+133	4.109804537717836e+139
0.0ms	9.128999795849559e+114	1.895869692402322e+118
0.0ms	1.9686675703186164e-16	1.1298553150303516e-8
0.0ms	-6.0409289899067435e-15	-5.215733169631198e-30
0.0ms	-2.0186874170589898e+20	-91088678249695570.0
0.0ms	-6.527780569576773e+70	-4.32650924066619e+66

Compiler

Compiled 20 to 14 computations (30% saved)

regimes1.1s (3.9%)

Counts

8 → 5

Calls

Call 1

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

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

Calls

5 calls:

500.0ms	y
222.0ms	t
158.0ms	z
146.0ms	(-.f64 y z)
25.0ms	x

Results

Error	Segments	Branch
20.9b	5	`x`
22.6b	9	`y`
23.7b	9	`z`
25.3b	3	`t`
23.5b	8	`(-.f64 y z)`

Compiler

Compiled 61 to 38 computations (37.7% saved)

bsearch62.0ms (0.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
21.0ms	3.66366916844285e+145	8.531828657181192e+151
15.0ms	1.4009113672032697e+51	3.9136122907909906e+55
16.0ms	4.604327262613163e-50	1.3021044792879488e-41
10.0ms	-3.3836725872524124e-37	-2.478189104327587e-38

Results

50.0ms	512×	body	256	valid
6.0ms	61×	body	256	infinite

Compiler

Compiled 626 to 477 computations (23.8% saved)

regimes287.0ms (1.1%)

Counts

7 → 8

Calls

Call 1

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

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

Calls

5 calls:

97.0ms	t
85.0ms	(-.f64 y z)
42.0ms	z
32.0ms	y
29.0ms	x

Results

Error	Segments	Branch
24.2b	6	`x`
23.6b	7	`y`
26.9b	8	`z`
29.0b	4	`t`
23.5b	8	`(-.f64 y z)`

Compiler

Compiled 56 to 35 computations (37.5% saved)

bsearch1.0ms (0%)

Algorithm

7×	left-value

Steps

Time	Left	Right
0.0ms	1.0547823142741834e+229	9.372730423301075e+234
0.0ms	7.780274741540175e+133	4.109804537717836e+139
0.0ms	9.128999795849559e+114	1.895869692402322e+118
0.0ms	1.9686675703186164e-16	1.1298553150303516e-8
0.0ms	-7.005008208389028e-48	-1.6638326899573532e-49
0.0ms	-2.0186874170589898e+20	-91088678249695570.0
0.0ms	-6.527780569576773e+70	-4.32650924066619e+66

Compiler

Compiled 20 to 14 computations (30% saved)

regimes135.0ms (0.5%)

Counts

6 → 5

Calls

Call 1

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

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

Calls

5 calls:

40.0ms	z
30.0ms	y
22.0ms	(-.f64 y z)
22.0ms	x
18.0ms	t

Results

Error	Segments	Branch
25.6b	5	`x`
29.8b	7	`y`
29.1b	9	`z`
30.5b	3	`t`
26.7b	5	`(-.f64 y z)`

Compiler

Compiled 51 to 33 computations (35.3% saved)

bsearch61.0ms (0.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	3.66366916844285e+145	8.531828657181192e+151
14.0ms	1.4009113672032697e+51	3.9136122907909906e+55
16.0ms	1025473307590447500.0	8.257251734417867e+23
10.0ms	-1.192686485230078e+68	-4.835766337426896e+67

Results

49.0ms	496×	body	256	valid
6.0ms	65×	body	256	infinite

Compiler

Compiled 482 to 369 computations (23.4% saved)

regimes368.0ms (1.4%)

Counts

5 → 8

Calls

Call 1

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

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

Calls

4 calls:

195.0ms	z
104.0ms	t
37.0ms	x
31.0ms	y

Results

Error	Segments	Branch
33.3b	9	`x`
32.9b	8	`y`
34.0b	7	`z`
38.5b	6	`t`

Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch502.0ms (1.9%)

Algorithm

7×	binary-search

Steps

Time	Left	Right
299.0ms	2.7400873140604985e+269	4.082605584147266e+281
12.0ms	7.011324980623158e+82	4.1950329442440374e+83
127.0ms	1.810765520404689e-8	2.3177342517533557e-5
14.0ms	1.1188660288427476e-301	1.0763724221707645e-298
17.0ms	-5.574924796950343e-195	-4.2127051223933847e-206
17.0ms	-1.1977934804117353e-57	-7.439635113976923e-76
15.0ms	-1.9409244341153144e+63	-5.315793021669981e+60

Results

285.0ms	204×	body	256	infinite
206.0ms	960×	body	256	valid

Compiler

Compiled 950 to 740 computations (22.1% saved)

regimes151.0ms (0.6%)

Counts

4 → 6

Calls

Call 1

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

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

Calls

4 calls:

97.0ms	x
21.0ms	y
17.0ms	z
15.0ms	t

Results

Error	Segments	Branch
36.6b	6	`x`
34.5b	6	`y`
37.5b	5	`z`
41.5b	3	`t`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch418.0ms (1.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
172.0ms	2.7400873140604985e+269	4.082605584147266e+281
12.0ms	7.011324980623158e+82	4.1950329442440374e+83
14.0ms	1.810765520404689e-8	2.3177342517533557e-5
17.0ms	-1.1977934804117353e-57	-7.439635113976923e-76
204.0ms	-1.9409244341153144e+63	-5.315793021669981e+60

Results

253.0ms	672×	body	256	valid
158.0ms	214×	body	256	infinite

Compiler

Compiled 680 to 524 computations (22.9% saved)

regimes189.0ms (0.7%)

Accuracy

Total -25.3b remaining (-67.5%)

Threshold costs -25.3b (-67.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

153.0ms	z
15.0ms	x
10.0ms	y
9.0ms	t

Results

Error	Segments	Branch
38.1b	5	`x`
37.5b	3	`y`
37.5b	5	`z`
41.5b	3	`t`

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch31.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.810765520404689e-8	2.3177342517533557e-5
17.0ms	-1.1977934804117353e-57	-7.439635113976923e-76

Results

28.0ms

288×

body

256

valid

Compiler

Compiled 272 to 212 computations (22.1% saved)

simplify21.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1843

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z (-.f64 y 1))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 y -6050532056176733/147573952589676412928) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 2919961995278205/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 2685539873210385/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 y 2050) (+.f64 x (.f64 z (-.f64 x t))) (+.f64 (*.f64 y (-.f64 t x)) x)))))
(if (<=.f64 y -1120000) (.f64 y (-.f64 t x)) (if (<=.f64 y 5255931591500769/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 1454323131338547/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 y 1020) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (.f64 x (-.f64 z (-.f64 y 1))) (if (<=.f64 x 7582485000136117/210624583337114373395836055367340864637790190801098222508621955072) (+.f64 x (.f64 t (-.f64 y z))) (*.f64 x (-.f64 z (-.f64 y 1)))))
(if (<=.f64 x -1821252086461621/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x (-.f64 z (-.f64 y 1))) (if (<=.f64 x 4777162274460781/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 t (-.f64 y z)) (*.f64 x (-.f64 z (-.f64 y 1)))))
(if (<=.f64 (-.f64 y z) -999999999999999921281879895665782741935503249059183851809998224123064148429897728) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 (-.f64 y z) -200000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -6338253001141147/1267650600228229401496703205376) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 6798566308054619/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 3022314549036573/151115727451828646838272) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 (-.f64 y z) 100000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) 9999999999999999932209486743616279764617084419440640) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 (-.f64 y z) 4999999999999999913683878919592799158619891437790466139288573575168) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) 200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224) (.f64 z (+.f64 x (neg.f64 t))) (.f64 y (-.f64 t x)))))))))))
(if (<=.f64 y -4499999999999999948743323418624) (.f64 y (-.f64 t x)) (if (<=.f64 y -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 t (-.f64 y z)) (if (<=.f64 y -7048738840935711/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (+.f64 (.f64 z x) x) (if (<=.f64 y 4825645764048353/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 y 4901059257211343/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (+.f64 (.f64 z x) x) (if (<=.f64 y 6974232053805175/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 (.f64 y t) x) (if (<=.f64 y 6139076427730539/9444732965739290427392) (+.f64 (.f64 z x) x) (.f64 y (-.f64 t x)))))))))
(if (<=.f64 x -23999999999999999766524035865123871034699084260849748017152) (+.f64 (.f64 z x) x) (if (<=.f64 x -5534023222112865/1152921504606846976) (.f64 y (-.f64 t x)) (if (<=.f64 x -7901930132589739/23945242826029513411849172299223580994042798784118784) (+.f64 (.f64 z x) x) (if (<=.f64 x -6436481271636733/1532495540865888858358347027150309183618739122183602176) (.f64 y (-.f64 t x)) (if (<=.f64 x 6920429673272915/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 t (-.f64 y z)) (if (<=.f64 x 19000000000000000731528784366943934306402550352718272133965002289064432273387854324490061554590704993264982931499080403022356325696365409834068328424635385742913630068494982325949470783239073300480) (+.f64 (.f64 z x) x) (*.f64 (-.f64 1 y) x)))))))
(if (<=.f64 (-.f64 y z) -50000000000000002094076278210572897949571693332016914157171385590349824) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -200000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -6338253001141147/1267650600228229401496703205376) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 2028240960365167/10141204801825835211973625643008) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.f64 z x) (if (<=.f64 (-.f64 y z) 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616) (.f64 t (-.f64 y z)) (.f64 y (-.f64 t x)))))))))
(if (<=.f64 x -838083498911033/2993155353253689176481146537402947624255349848014848) (.f64 (-.f64 1 y) x) (if (<=.f64 x 7898421875141789/52656145834278593348959013841835216159447547700274555627155488768) (.f64 t (-.f64 y z)) (if (<=.f64 x 37999999999999999572254866165272631373857617077990326272) (.f64 (-.f64 1 y) x) (if (<=.f64 x 36999999999999999318954294327132539711262364749176657753522349681901961359659997089298086603330668922800197424373571615021800121496423864419221504) (.f64 z x) (*.f64 (-.f64 1 y) x)))))
(if (<=.f64 (-.f64 y z) -50000000000000002094076278210572897949571693332016914157171385590349824) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -200000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -4113761393303015/822752278660603021077484591278675252491367932816789931674304512) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 2028240960365167/10141204801825835211973625643008) x (if (<=.f64 (-.f64 y z) 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.f64 z x) (if (<=.f64 (-.f64 y z) 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616) (.f64 t (-.f64 y z)) (*.f64 y (-.f64 t x)))))))))
(if (<=.f64 x -91999999999999994221365877565342657445000850091217903005419966562304) x (if (<=.f64 x 54000000000000000000) (.f64 t (-.f64 y z)) (if (<=.f64 x 5500000000000000260462288764810109400992177933489537024) x (if (<=.f64 x 115000000000000000131346883006613185247232364066157479587788715532249265175007759019132951177075557224898780727760758882411982238221510791282032640) (.f64 z x) x))))
(if (<=.f64 y -699999999999999967425490093363732968991123446608377323924226048) (.f64 y (neg.f64 x)) (if (<=.f64 y -4169759072876987/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 y t) (if (<=.f64 y -8189640480253831/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) x (if (<=.f64 y 2639025027213943/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (.f64 z (neg.f64 t)) (if (<=.f64 y 5742397643169489/302231454903657293676544) x (if (<=.f64 y 339999999999999980818324164662483574508169097904393636575846265041377820776555610112) (.f64 y t) (if (<=.f64 y 18999999999999999082764761496136026486539077425301520304507750333480711777461758519184106095500537640490308115977156961419955581586922416384574847025233112057729048270530929786598628001416624059971423339241373093363531547704602175143853582262195756242957749927023146778492928) (.f64 y (neg.f64 x)) (.f64 y t))))))))
(if (<=.f64 y -11499999999999999774763979092841187234653409989027999936151552) (.f64 y (neg.f64 x)) (if (<=.f64 y -5172161658661781/994646472819573284310764496293641680200912301594695434880927953786318994025066751066112) (.f64 y t) (if (<=.f64 y 8854437155380585/1180591620717411303424) x (if (<=.f64 y 72000000000000002757278685972511293252798448625895822841927504180789519031830839296) (.f64 y t) (if (<=.f64 y 360000000000000011801608553830355369485453901887737683134800087878739337151054760934056376322068245499374299129456694294732588483687850450557836796465495307604920369528423223693498378047853854736518277608503708226473336501280140834767141483337361663948362843651907838052455292076032) (.f64 y (neg.f64 x)) (*.f64 y t))))))
(if (<=.f64 y -7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 y t) (if (<=.f64 y 5742397643169489/302231454903657293676544) x (.f64 y t)))
x

Outputs
(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z (-.f64 y 1))))
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
(if (<=.f64 y -6050532056176733/147573952589676412928) (+.f64 (.f64 y (-.f64 t x)) x) (if (<=.f64 y 2919961995278205/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 2685539873210385/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 y 2050) (+.f64 x (.f64 z (-.f64 x t))) (+.f64 (*.f64 y (-.f64 t x)) x)))))
(if (<=.f64 y -1120000) (.f64 y (-.f64 t x)) (if (<=.f64 y 5255931591500769/583992399055640987986069965529637289586333248927815671114136642291107221402710705472756839848623539171666215625420084135768154204336056063776340648924443416096255318318113913610607896607565283328) (+.f64 x (.f64 z (-.f64 x t))) (if (<=.f64 y 1454323131338547/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (+.f64 x (.f64 t (-.f64 y z))) (if (<=.f64 y 1020) (+.f64 x (.f64 z (-.f64 x t))) (*.f64 y (-.f64 t x))))))
(if (<=.f64 x -4361529361169255/20769187434139310514121985316880384) (.f64 x (-.f64 z (-.f64 y 1))) (if (<=.f64 x 7582485000136117/210624583337114373395836055367340864637790190801098222508621955072) (+.f64 x (.f64 t (-.f64 y z))) (*.f64 x (-.f64 z (-.f64 y 1)))))
(if (<=.f64 x -1821252086461621/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 x (-.f64 z (-.f64 y 1))) (if (<=.f64 x 4777162274460781/2582249878086908589655919172003011874329705792829223512830659356540647622016841194629645353280137831435903171972747493376) (.f64 t (-.f64 y z)) (*.f64 x (-.f64 z (-.f64 y 1)))))
(if (<=.f64 (-.f64 y z) -999999999999999921281879895665782741935503249059183851809998224123064148429897728) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 (-.f64 y z) -200000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -6338253001141147/1267650600228229401496703205376) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 6798566308054619/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 3022314549036573/151115727451828646838272) (+.f64 x (.f64 z (neg.f64 t))) (if (<=.f64 (-.f64 y z) 100000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) 9999999999999999932209486743616279764617084419440640) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 (-.f64 y z) 4999999999999999913683878919592799158619891437790466139288573575168) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) 200000000000000008865591331916694877000857933217272512160395875661926954165237823719168356730340153384902021777125683944200820531246613453659458355377824296650910559620209942066205153823999633833272476105465504214545753911342860863491894855860224) (.f64 z (+.f64 x (neg.f64 t))) (.f64 y (-.f64 t x)))))))))))
(if (<=.f64 y -4499999999999999948743323418624) (.f64 y (-.f64 t x)) (if (<=.f64 y -2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216) (.f64 t (-.f64 y z)) (if (<=.f64 y -7048738840935711/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184) (+.f64 (.f64 z x) x) (if (<=.f64 y 4825645764048353/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328) (.f64 z (+.f64 x (neg.f64 t))) (if (<=.f64 y 4901059257211343/17822033662586700072817076584766762987864173856439687228824970773044043621908896041038721919208482030385321521771853153557377752817872804680674458280164899172859354196719784961261227313463296) (+.f64 (.f64 z x) x) (if (<=.f64 y 6974232053805175/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848) (+.f64 (.f64 y t) x) (if (<=.f64 y 6139076427730539/9444732965739290427392) (+.f64 (.f64 z x) x) (.f64 y (-.f64 t x)))))))))
(if (<=.f64 x -23999999999999999766524035865123871034699084260849748017152) (+.f64 (.f64 z x) x) (if (<=.f64 x -5534023222112865/1152921504606846976) (.f64 y (-.f64 t x)) (if (<=.f64 x -7901930132589739/23945242826029513411849172299223580994042798784118784) (+.f64 (.f64 z x) x) (if (<=.f64 x -6436481271636733/1532495540865888858358347027150309183618739122183602176) (.f64 y (-.f64 t x)) (if (<=.f64 x 6920429673272915/20657999024695268717247353376024094994637646342633788102645274852325180976134729557037162826241102651487225375781979947008) (.f64 t (-.f64 y z)) (if (<=.f64 x 19000000000000000731528784366943934306402550352718272133965002289064432273387854324490061554590704993264982931499080403022356325696365409834068328424635385742913630068494982325949470783239073300480) (+.f64 (.f64 z x) x) (*.f64 (-.f64 1 y) x)))))))
(if (<=.f64 (-.f64 y z) -50000000000000002094076278210572897949571693332016914157171385590349824) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) -200000000000000000000) (.f64 y (-.f64 t x)) (if (<=.f64 (-.f64 y z) -6338253001141147/1267650600228229401496703205376) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 2028240960365167/10141204801825835211973625643008) (+.f64 (.f64 y t) x) (if (<=.f64 (-.f64 y z) 10000000000000000155594161294668430242682013969210614333697705804308337811647557032649853899150474476762062808678400) (.f64 t (-.f64 y z)) (if (<=.f64 (-.f64 y z) 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584) (.f64 z x) (if (<=.f64 (-.f64 y z) 19999999999999999836777221245888555157266854023040746648359793341285923569054049205612780991738616816940675431370589468387985186797779692394447533106893958186103920770675008711375515345125281086808706628454884068855007427340271616) (.f64 t (-.f64 y z)) (.f64 y (-.f64 t x)))))))))
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(if (<=.f64 y -7067388259113537/7067388259113537318333190002971674063309935587502475832486424805170479104) (.f64 y t) (if (<=.f64 y 5742397643169489/302231454903657293676544) x (.f64 y t)))
x

Compiler

Compiled 807 to 394 computations (51.2% saved)

soundness418.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2504×	`rational.json-simplify-35`
2262×	`rational.json-simplify-2`
1064×	`rational.json-simplify-1`
884×	`rational.json-simplify-53`
842×	`exponential.json-simplify-26`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	112	4721
1	246	3307
2	567	3307
3	1423	3239
4	2651	3223
5	3417	3223
6	3774	3223
7	4270	3223
8	4682	3223
9	5044	2975
10	5794	2975
11	6319	2975
12	6522	2975
13	6744	2975
14	7043	2975
15	7174	2975
16	7449	2975
17	7825	2975

Stop Event

1×	node limit

Compiler

Compiled 134 to 56 computations (58.2% saved)

end11.5s (42.7%)

Compiler: Compiled 743 to 269 computations (63.8% saved)