Details

analyze344.0ms (2.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
25.8%	25%	71.8%	0.1%	3.1%	0%	0%	9
37.3%	34.3%	57.7%	0.1%	7.8%	0%	0%	10
45.1%	41.3%	50.3%	0.1%	8.2%	0%	0%	11
52.5%	46.8%	42.3%	0.1%	10.7%	0%	0%	12

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample3.6s (28.7%)

Results

3.4s	8256×	body	256	valid
95.0ms	1045×	body	256	infinite

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

16×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	100
1	29	100
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 15 to 12 computations (20% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-2`

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 1 (.f64 (-.f64 1 y) z)))

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

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% 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

2.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize117.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.9b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite241.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`rational.json-simplify-1`
1380×	`exponential.json-3`
1380×	`rational.json-1`
1380×	`rational.json-2`
1380×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	74	25
2	161	25
3	311	25
4	564	25
5	1255	25
6	2740	25
7	4691	25
8	6009	25
9	7119	25
10	7279	25
11	7463	25
12	7641	25

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

Outputs

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

simplify639.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

3606×	`rational.json-simplify-2`
2926×	`rational.json-simplify-35`
1870×	`rational.json-simplify-53`
806×	`exponential.json-simplify-26`
758×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	1207
1	149	1207
2	285	1153
3	614	1153
4	1920	1153
5	3550	1153
6	4025	1153
7	4191	1153
8	4302	1153
9	4413	1153
10	4522	1153
11	5396	1153
12	6158	1153
13	6300	1153
14	6300	1153
15	6300	1153
16	6409	1153
17	6518	1153
18	6627	1153
19	6936	1153
20	7305	1153
21	7776	1153

Stop Event

1×	node limit

Counts

49 → 34

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 357 to 238 computations (33.3% saved)

prune62.0ms (0.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	7	35

Error

0.0b

Counts

35 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	4.8b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
▶	20.1b	(*.f64 (-.f64 1 z) x)
▶	44.8b	(.f64 z (.f64 y x))
▶	44.7b	(.f64 y (.f64 z x))
✓	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
▶	31.3b	(.f64 x (.f64 (+.f64 y -1) z))
	34.1b	x

Compiler

Compiled 108 to 74 computations (31.5% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 y 1) x)
✓	0.0b	(+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x)
✓	4.6b	(.f64 z (.f64 (-.f64 y 1) x))

Compiler

Compiled 31 to 18 computations (41.9% saved)

series7.0ms (0.1%)

Counts

3 → 51

Calls

24 calls:

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

rewrite209.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2462×	`rational.json-simplify-2`
1538×	`rational.json-1`
1538×	`rational.json-2`
1394×	`rational.json-simplify-35`
1144×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	79	57
2	182	57
3	349	57
4	675	57
5	1588	57
6	3269	57
7	4559	57
8	5482	57
9	6261	57
10	6261	57
11	7772	57

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

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

Outputs

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

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

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

simplify283.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2404×	`rational.json-simplify-2`
1602×	`rational.json-simplify-35`
1244×	`rational.json-simplify-51`
1172×	`rational.json-simplify-1`
1010×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	154	3126
1	380	2364
2	858	2364
3	2280	2364
4	4886	2364
5	5699	2364
6	6119	2364
7	6180	2364
8	6295	2364
9	7473	2364

Stop Event

1×	node limit

Counts

114 → 95

Calls

Call 1

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

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

localize94.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.8b	(.f64 y (.f64 z x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

9 calls:

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

rewrite235.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2168×	`rational.json-simplify-2`
1512×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	117	13
3	250	13
4	452	13
5	1058	13
6	2170	13
7	3361	13
8	3993	13
9	4949	13
10	5542	13
11	5542	13
12	6896	13
13	7986	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify440.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

4300×	`rational.json-simplify-53`
3572×	`rational.json-simplify-35`
2382×	`rational.json-simplify-2`
1568×	`exponential.json-simplify-26`
696×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	182
1	135	182
2	286	182
3	717	182
4	1978	182
5	3612	182
6	4108	182
7	4441	182
8	4639	182
9	4831	182
10	5695	182
11	6450	182
12	6450	182
13	6450	182
14	6641	182
15	6832	182
16	7023	182
17	7214	182
18	7405	182

Stop Event

1×	node limit

Counts

14 → 15

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.1b	(.f64 z (.f64 y x))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite236.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2168×	`rational.json-simplify-2`
1512×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	117	13
3	250	13
4	452	13
5	1058	13
6	2170	13
7	3361	13
8	3993	13
9	4949	13
10	5542	13
11	5542	13
12	6896	13
13	7986	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify468.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

4310×	`rational.json-simplify-53`
3568×	`rational.json-simplify-35`
2436×	`rational.json-simplify-2`
1568×	`exponential.json-simplify-26`
698×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	650
1	137	650
2	291	650
3	729	650
4	1987	650
5	3628	650
6	4116	650
7	4453	650
8	4651	650
9	4843	650
10	5737	650
11	6486	650
12	6486	650
13	6486	650
14	6677	650
15	6868	650
16	7059	650
17	7250	650
18	7441	650

Stop Event

1×	node limit

Counts

50 → 16

Calls

Call 1

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

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

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite201.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-simplify-35`
1384×	`exponential.json-3`
1384×	`rational.json-1`
1384×	`rational.json-2`
1384×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	55	13
2	128	13
3	238	13
4	428	13
5	912	13
6	2338	13
7	4229	13
8	5306	13
9	6566	13
10	7666	13
11	7848	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify467.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2980×	`rational.json-simplify-35`
1934×	`rational.json-simplify-2`
1694×	`rational.json-simplify-53`
1000×	`rational.json-simplify-1`
916×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	484
1	166	462
2	329	462
3	715	462
4	2346	462
5	4047	462
6	4669	462
7	4908	462
8	5097	462
9	5304	462
10	6040	462
11	7109	462
12	7195	462
13	7263	462
14	7284	462
15	7466	462
16	7637	462
17	7804	462
18	7969	462

Stop Event

1×	node limit

Counts

34 → 32

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 x (.f64 (+.f64 y -1) z))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite206.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1798×	`rational.json-simplify-35`
1672×	`rational.json-simplify-1`
1346×	`exponential.json-3`
1346×	`rational.json-1`
1346×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	66	19
2	152	19
3	300	19
4	558	19
5	1285	19
6	2796	19
7	4490	19
8	5272	19
9	6604	19
10	7485	19
11	7485	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify191.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3158×	`rational.json-simplify-2`
1378×	`rational.json-simplify-35`
1134×	`rational.json-simplify-53`
1108×	`rational.json-simplify-43`
1050×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	932
1	154	930
2	332	930
3	848	930
4	2742	930
5	5632	930
6	6637	930
7	6867	930
8	6897	930
9	6953	930

Stop Event

1×	node limit

Counts

50 → 25

Calls

Call 1

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

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

eval277.0ms (2.2%)

Compiler: Compiled 1995 to 1268 computations (36.4% saved)

prune28.0ms (0.2%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	180	3	183
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	181	9	190

Error

0.0b

Counts

190 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.1b	(+.f64 (*.f64 z (neg.f64 x)) x)
▶	16.3b	(+.f64 (.f64 y (.f64 z x)) x)
✓	20.1b	(*.f64 (-.f64 1 z) x)
✓	44.8b	(.f64 z (.f64 y x))
▶	48.5b	(*.f64 z (neg.f64 x))
✓	44.7b	(.f64 y (.f64 z x))
✓	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	31.3b	(.f64 x (.f64 (+.f64 y -1) z))
	34.1b	x

Compiler

Compiled 76 to 52 computations (31.6% saved)

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (.f64 z x)) x)
	3.8b	(.f64 y (.f64 z x))

Compiler

Compiled 21 to 6 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 18

Calls

9 calls:

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

rewrite257.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2442×	`rational.json-simplify-2`
1598×	`rational.json-1`
1240×	`rational.json-simplify-35`
1210×	`exponential.json-3`
1210×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	55	19
2	128	19
3	277	19
4	532	19
5	1296	19
6	2944	19
7	4561	19
8	5405	19
9	6424	19
10	6424	19
11	7961	19

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify205.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2032×	`rational.json-simplify-2`
1642×	`rational.json-simplify-35`
946×	`rational.json-simplify-1`
884×	`rational.json-simplify-48`
810×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	1019
1	197	1019
2	446	1019
3	1450	1019
4	3129	1019
5	4327	1019
6	4990	1019
7	5388	1019
8	5780	1019
9	6277	1019
10	7328	1019

Stop Event

1×	node limit

Counts

53 → 44

Calls

Call 1

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

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

localize57.0ms (0.5%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

eval11.0ms (0.1%)

Compiler: Compiled 640 to 376 computations (41.3% saved)

prune119.0ms (1%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	57	2	59
Fresh	0	1	1
Picked	0	1	1
Done	0	7	7
Total	57	11	68

Error

0.0b

Counts

68 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.1b	(+.f64 (*.f64 z (neg.f64 x)) x)
✓	16.3b	(+.f64 (.f64 y (.f64 z x)) x)
✓	20.1b	(*.f64 (-.f64 1 z) x)
▶	16.5b	(.f64 (+.f64 (.f64 y z) 1) x)
✓	44.8b	(.f64 z (.f64 y x))
✓	48.5b	(*.f64 z (neg.f64 x))
✓	44.7b	(.f64 y (.f64 z x))
✓	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	31.3b	(.f64 x (.f64 (+.f64 y -1) z))
▶	44.9b	(.f64 x (.f64 y z))
	34.1b	x

Compiler

Compiled 94 to 64 computations (31.9% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(.f64 x (.f64 y z))

Compiler

Compiled 14 to 5 computations (64.3% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite240.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2168×	`rational.json-simplify-2`
1512×	`rational.json-simplify-1`
1370×	`exponential.json-3`
1370×	`rational.json-1`
1370×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	117	13
3	250	13
4	452	13
5	1058	13
6	2170	13
7	3361	13
8	3993	13
9	4949	13
10	5542	13
11	5542	13
12	6896	13
13	7986	13

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify481.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

4324×	`rational.json-simplify-53`
3824×	`rational.json-simplify-35`
2442×	`rational.json-simplify-2`
1568×	`exponential.json-simplify-26`
682×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	650
1	139	650
2	292	650
3	736	650
4	1988	650
5	3653	650
6	4149	650
7	4512	650
8	4729	650
9	4940	650
10	5829	650
11	6577	650
12	6577	650
13	6577	650
14	6787	650
15	6997	650
16	7207	650
17	7417	650
18	7627	650

Stop Event

1×	node limit

Counts

50 → 17

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.0b	(.f64 (+.f64 (.f64 y z) 1) x)

Compiler

Compiled 22 to 10 computations (54.5% saved)

series108.0ms (0.9%)

Counts

1 → 24

Calls

9 calls:

Time	Variable		Point	Expression
105.0ms	x	@	inf	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	y	@	0	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	y	@	inf	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	x	@	0	(.f64 (+.f64 (.f64 y z) 1) x)
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 y z) 1) x)

rewrite204.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`rational.json-simplify-35`
1724×	`rational.json-simplify-1`
1368×	`exponential.json-3`
1368×	`rational.json-1`
1368×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	69	19
2	151	19
3	284	19
4	522	19
5	1141	19
6	2723	19
7	4717	19
8	5678	19
9	6889	19
10	7854	19
11	7854	19

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify783.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

2838×	`rational.json-simplify-2`
2806×	`rational.json-simplify-35`
1326×	`rational.json-simplify-53`
1292×	`rational.json-simplify-1`
1214×	`rational.json-simplify-48`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	674
1	133	674
2	250	674
3	506	674
4	1659	674
5	3429	674
6	3988	674
7	4201	674
8	4397	674
9	4573	674
10	4733	674
11	5634	674
12	6430	674
13	6457	674
14	6533	674
15	6563	674
16	6651	674
17	6702	674
18	6903	674
19	7090	674
20	7289	674
21	7472	674
22	7625	674
23	7951	674

Stop Event

1×	node limit

Counts

38 → 26

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 440 to 253 computations (42.5% saved)

prune64.0ms (0.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	42	12	54

Error

0.0b

Counts

54 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.1b	(+.f64 (*.f64 z (neg.f64 x)) x)
✓	16.3b	(+.f64 (.f64 y (.f64 z x)) x)
	16.5b	(+.f64 x (.f64 x (.f64 y z)))
✓	20.1b	(*.f64 (-.f64 1 z) x)
✓	16.5b	(.f64 (+.f64 (.f64 y z) 1) x)
✓	44.8b	(.f64 z (.f64 y x))
✓	48.5b	(*.f64 z (neg.f64 x))
✓	44.7b	(.f64 y (.f64 z x))
✓	2.1b	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
✓	31.3b	(.f64 x (.f64 (+.f64 y -1) z))
✓	44.9b	(.f64 x (.f64 y z))
	34.1b	x

Compiler

Compiled 104 to 70 computations (32.7% saved)

regimes162.0ms (1.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

7 calls:

60.0ms	x
57.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
13.0ms	(*.f64 (-.f64 1 y) z)
9.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
7.0ms	y

Results

Error	Segments	Branch
0.1b	3	`x`
2.1b	1	`y`
2.1b	1	`z`
0.6b	2	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.3b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.3b	2	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 128 to 72 computations (43.8% saved)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	2.314422999620398e+49	1.6008617085020453e+55
8.0ms	-3.992048433816463e+53	-9.899213346760613e+36

Results

17.0ms	176×	body	256	valid
3.0ms	15×	body	256	infinite

Compiler

Compiled 304 to 223 computations (26.6% saved)

regimes67.0ms (0.5%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

7 calls:

14.0ms	(*.f64 (-.f64 1 y) z)
13.0ms	(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))
10.0ms	(-.f64 1 (*.f64 (-.f64 1 y) z))
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
2.1b	1	`x`
2.1b	1	`y`
2.1b	1	`z`
0.6b	2	`(.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))`
0.3b	2	`(-.f64 1 (*.f64 (-.f64 1 y) z))`
0.3b	2	`(*.f64 (-.f64 1 y) z)`
2.1b	1	`(-.f64 1 y)`

Compiler

Compiled 119 to 67 computations (43.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.986034572536507e+279	4.417343049299619e+287

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes80.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	x
22.0ms	z
19.0ms	y

Results

Error	Segments	Branch
10.7b	6	`x`
2.4b	3	`y`
3.2b	3	`z`

Compiler

Compiled 74 to 33 computations (55.4% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.2081287376056489	53501512.03183653
17.0ms	-198.78324687173262	-5.091273205869359e-9

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 417 to 280 computations (32.9% saved)

regimes69.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 y z) 1) x)
(+.f64 (*.f64 z (neg.f64 x)) x)
(+.f64 x (.f64 x (.f64 y z)))

Calls

3 calls:

33.0ms	x
17.0ms	z
17.0ms	y

Results

Error	Segments	Branch
12.0b	6	`x`
2.6b	3	`y`
3.2b	3	`z`

Compiler

Compiled 67 to 32 computations (52.2% saved)

bsearch69.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.2081287376056489	53501512.03183653
53.0ms	-198.78324687173262	-5.091273205869359e-9

Results

65.0ms

304×

body

256

valid

Compiler

Compiled 417 to 290 computations (30.5% saved)

regimes227.0ms (1.8%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(.f64 (+.f64 (.f64 y z) 1) x)
(+.f64 (*.f64 z (neg.f64 x)) x)
(.f64 (+.f64 (.f64 y z) 1) x)

Calls

3 calls:

77.0ms	y
75.0ms	x
73.0ms	z

Results

Error	Segments	Branch
12.0b	6	`x`
2.6b	3	`y`
3.2b	3	`z`

Compiler

Compiled 60 to 31 computations (48.3% saved)

bsearch80.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	0.2081287376056489	53501512.03183653
65.0ms	-198.78324687173262	-5.091273205869359e-9

Results

76.0ms

304×

body

256

valid

Compiler

Compiled 417 to 299 computations (28.3% saved)

regimes234.0ms (1.9%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	z
77.0ms	x
64.0ms	y

Results

Error	Segments	Branch
15.9b	5	`x`
10.1b	3	`y`
10.3b	7	`z`

Compiler

Compiled 53 to 28 computations (47.2% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	3.63287358011289e+96	2.855313922989939e+98
18.0ms	-3.3042676572216775e+51	-2.8525228060678444e+38

Results

25.0ms	272×	body	256	valid
3.0ms	14×	body	256	infinite

Compiler

Compiled 341 to 235 computations (31.1% saved)

regimes124.0ms (1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	z
18.0ms	y
14.0ms	x

Results

Error	Segments	Branch
18.3b	3	`x`
10.1b	3	`y`
16.7b	7	`z`

Compiler

Compiled 40 to 23 computations (42.5% saved)

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.63287358011289e+96	2.855313922989939e+98
18.0ms	-3.3042676572216775e+51	-2.8525228060678444e+38

Results

27.0ms	272×	body	256	valid
1.0ms	13×	body	256	infinite

Compiler

Compiled 324 to 235 computations (27.5% saved)

regimes71.0ms (0.6%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

3 calls:

36.0ms	y
20.0ms	z
13.0ms	x

Results

Error	Segments	Branch
29.7b	3	`x`
21.6b	7	`y`
20.1b	5	`z`

Compiler

Compiled 35 to 20 computations (42.9% saved)

bsearch49.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
10.0ms	2.477071193352281e-5	0.0001209825499612223
16.0ms	2.7821784972133323e-83	2.3402699716476477e-79
8.0ms	2.583891450846741e-160	1.0108313108831562e-159
14.0ms	-10.672818786210458	-0.0009698133203610956

Results

39.0ms	432×	body	256	valid
4.0ms	24×	body	256	infinite

Compiler

Compiled 382 to 284 computations (25.7% saved)

regimes30.0ms (0.2%)

Accuracy

Total -40.5b remaining (-191.7%)

Threshold costs -40.5b (-191.7%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
8.0ms	z
8.0ms	x

Results

Error	Segments	Branch
33.0b	3	`x`
31.7b	5	`y`
21.1b	3	`z`

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch26.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
11.0ms	2.477071193352281e-5	0.0001209825499612223
15.0ms	-10.672818786210458	-0.0009698133203610956

Results

21.0ms	224×	body	256	valid
2.0ms	17×	body	256	infinite

Compiler

Compiled 200 to 154 computations (23% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	604

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -200000000000000008769168609015239470926809530368) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (if (<=.f64 x 25000000000000001907442460272971750823741242736640) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) 10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 y (*.f64 z x)))
(if (<=.f64 y -1) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -1) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -1) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -245000000000000014798713466774002436674791931904) (.f64 y (.f64 z x)) (if (<=.f64 y 28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392) (+.f64 (.f64 z (neg.f64 x)) x) (.f64 z (*.f64 y x))))
(if (<=.f64 y -2850000000000000113602503300422227023296575087575040) (.f64 y (.f64 z x)) (if (<=.f64 y 75000000000000003621052948514155192162033447758988243726368505498283192356043370129731381400436736) (.f64 (-.f64 1 z) x) (.f64 z (*.f64 y x))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 7914572847139345/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) x (if (<=.f64 z 3964391938669209/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 x (.f64 y z)) (if (<=.f64 z 8854437155380585/73786976294838206464) x (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 8854437155380585/73786976294838206464) x (.f64 z (neg.f64 x))))
x

Outputs
(if (<=.f64 x -200000000000000008769168609015239470926809530368) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (if (<=.f64 x 25000000000000001907442460272971750823741242736640) (+.f64 (.f64 z (.f64 (-.f64 y 1) x)) x) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z)))))
(if (<=.f64 (.f64 (-.f64 1 y) z) 10000000000000000327822459828620982485707052830214935642633335774409426031973743359279343786724117930538174975818241508187016346769106956959939911012930425211247788042456200658152732723551495964903285489125103006290926013924448356521309485648260046220787856768108551057012647002112) (.f64 x (-.f64 1 (.f64 (-.f64 1 y) z))) (.f64 y (*.f64 z x)))
(if (<=.f64 y -1) (+.f64 (.f64 y (.f64 z x)) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (+.f64 (.f64 y (*.f64 z x)) x)))
(if (<=.f64 y -1) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (+.f64 x (.f64 x (*.f64 y z)))))
(if (<=.f64 y -1) (.f64 (+.f64 (.f64 y z) 1) x) (if (<=.f64 y 1) (+.f64 (.f64 z (neg.f64 x)) x) (.f64 (+.f64 (*.f64 y z) 1) x)))
(if (<=.f64 y -245000000000000014798713466774002436674791931904) (.f64 y (.f64 z x)) (if (<=.f64 y 28999999999999998718852679468086862877353947153097796635457216142581099316574850091779282165563392) (+.f64 (.f64 z (neg.f64 x)) x) (.f64 z (*.f64 y x))))
(if (<=.f64 y -2850000000000000113602503300422227023296575087575040) (.f64 y (.f64 z x)) (if (<=.f64 y 75000000000000003621052948514155192162033447758988243726368505498283192356043370129731381400436736) (.f64 (-.f64 1 z) x) (.f64 z (*.f64 y x))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 7914572847139345/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) x (if (<=.f64 z 3964391938669209/136703170298938245273281389194851335334573089430825777276610662900622062449960995201469573563940864) (.f64 x (.f64 y z)) (if (<=.f64 z 8854437155380585/73786976294838206464) x (.f64 z (neg.f64 x))))))
(if (<=.f64 z -1) (.f64 z (neg.f64 x)) (if (<=.f64 z 8854437155380585/73786976294838206464) x (.f64 z (neg.f64 x))))
x

Compiler

Compiled 267 to 160 computations (40.1% saved)

soundness0.0ms (0%)

end82.0ms (0.7%)

Compiler: Compiled 240 to 109 computations (54.6% saved)

Details

analyze344.0ms (2.8%)

sample3.6s (28.7%)

preprocess4.0ms (0%)

simplify11.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize117.0ms (0.9%)

series4.0ms (0%)

rewrite241.0ms (1.9%)

simplify639.0ms (5.1%)

eval8.0ms (0.1%)

prune62.0ms (0.5%)

localize11.0ms (0.1%)

series7.0ms (0.1%)

rewrite209.0ms (1.7%)

simplify283.0ms (2.3%)

localize94.0ms (0.8%)

series3.0ms (0%)

rewrite235.0ms (1.9%)

simplify440.0ms (3.5%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite236.0ms (1.9%)

simplify468.0ms (3.8%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite201.0ms (1.6%)

simplify467.0ms (3.8%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite206.0ms (1.7%)

simplify191.0ms (1.5%)

eval277.0ms (2.2%)

prune28.0ms (0.2%)

localize5.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite257.0ms (2.1%)

simplify205.0ms (1.7%)

localize57.0ms (0.5%)

eval11.0ms (0.1%)

prune119.0ms (1%)

localize5.0ms (0%)

series1.0ms (0%)

rewrite240.0ms (1.9%)

simplify481.0ms (3.9%)

localize7.0ms (0.1%)

series108.0ms (0.9%)

rewrite204.0ms (1.6%)

simplify783.0ms (6.3%)

eval7.0ms (0.1%)

prune64.0ms (0.5%)

regimes162.0ms (1.3%)

bsearch22.0ms (0.2%)

regimes67.0ms (0.5%)

bsearch0.0ms (0%)

regimes80.0ms (0.6%)

bsearch32.0ms (0.3%)

regimes69.0ms (0.6%)

bsearch69.0ms (0.6%)

regimes227.0ms (1.8%)

bsearch80.0ms (0.6%)

regimes234.0ms (1.9%)

bsearch31.0ms (0.2%)

regimes124.0ms (1%)

bsearch32.0ms (0.3%)

regimes71.0ms (0.6%)

bsearch49.0ms (0.4%)

regimes30.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify9.0ms (0.1%)

soundness0.0ms (0%)

end82.0ms (0.7%)

Profiling