Details

analyze371.0ms (3.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
6.3%	6.2%	93.6%	0.2%	0%	0%	0%	9
10.9%	10.9%	88.9%	0.2%	0%	0%	0%	10
13.4%	13.3%	85.8%	0.2%	0.8%	0%	0%	11
18.4%	17.9%	79.3%	0.2%	2.5%	0%	0%	12

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.6s (15.2%)

Results

1.1s	8256×	body	256	valid
464.0ms	2381×	body	256	infinite

Bogosity

preprocess8.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	175
1	46	175
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	12	25

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 22 to 9 computations (59.1% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

2.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.2b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.5b	(*.f64 (/.f64 x y) (-.f64 z t))

Compiler

Compiled 30 to 8 computations (73.3% saved)

series8.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-5`
1986×	`rational.json-1`
1986×	`rational.json-2`
1986×	`rational.json-4`
1986×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	75	19
2	257	19
3	957	19
4	3788	19

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 x y) (-.f64 z t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 x y) (-.f64 z t)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (/.f64 x y) (-.f64 z t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) (-.f64 z t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 x y) (-.f64 z t)) (/.f64 (.f64 (/.f64 x y) (-.f64 z t)) (.f64 (/.f64 x y) (-.f64 z t))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 x y) (-.f64 z t)) 1)))))

Outputs

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

simplify226.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-79`
1236×	`rational.json-simplify-49`
976×	`rational.json-simplify-76`
954×	`rational.json-simplify-111`
912×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	1332
1	43	1290
2	92	1290
3	246	1290
4	987	1290
5	2190	1290
6	5385	1290
7	7088	1290

Stop Event

1×	node limit

Counts

54 → 14

Calls

Call 1

Inputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 0)
(+.f64 0 (*.f64 (/.f64 x y) (-.f64 z t)))
(-.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 0)
(/.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 1)
(/.f64 (.f64 (/.f64 x y) (-.f64 z t)) (/.f64 (.f64 (/.f64 x y) (-.f64 z t)) (*.f64 (/.f64 x y) (-.f64 z t))))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 1)

Outputs
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 z x) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 0)
(*.f64 (-.f64 z t) (/.f64 x y))
(+.f64 0 (*.f64 (/.f64 x y) (-.f64 z t)))
(*.f64 (-.f64 z t) (/.f64 x y))
(-.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 0)
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 1)
(*.f64 (-.f64 z t) (/.f64 x y))
(/.f64 (.f64 (/.f64 x y) (-.f64 z t)) (/.f64 (.f64 (/.f64 x y) (-.f64 z t)) (*.f64 (/.f64 x y) (-.f64 z t))))
(*.f64 (-.f64 z t) (/.f64 x y))
(pow.f64 (*.f64 (/.f64 x y) (-.f64 z t)) 1)
(*.f64 (-.f64 z t) (/.f64 x y))

eval2.0ms (0%)

Compiler: Compiled 170 to 50 computations (70.6% saved)

prune5.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	10	4	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	5	15

Error

0.1b

Counts

15 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.1b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
▶	14.7b	(+.f64 (/.f64 (*.f64 z x) y) t)
▶	6.1b	(+.f64 (+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y)) t)
✓	2.2b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	25.4b	(+.f64 (neg.f64 (/.f64 (*.f64 t x) y)) t)

Compiler

Compiled 67 to 42 computations (37.3% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 (*.f64 t x) y)) t)
✓	5.3b	(/.f64 (*.f64 t x) y)

Compiler

Compiled 29 to 8 computations (72.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite228.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`rational.json-simplify-2`
906×	`rational.json-simplify-79`
606×	`rational.json-simplify-47`
542×	`rational.json-simplify-54`
516×	`rational.json-simplify-58`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	88	36
2	293	36
3	1045	36
4	4173	32

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(/.f64 (*.f64 t x) y)
(+.f64 (neg.f64 (/.f64 (*.f64 t x) y)) t)

Outputs
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Outputs

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

simplify191.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1930×	`rational.json-simplify-47`
1398×	`rational.json-simplify-50`
1322×	`rational.json-simplify-55`
1232×	`rational.json-simplify-43`
1102×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	1957
1	299	1741
2	870	1741
3	3747	1741

Stop Event

1×	node limit

Counts

105 → 79

Calls

Call 1

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

localize28.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y))
	5.3b	(/.f64 (*.f64 t x) y)
✓	5.6b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 56 to 11 computations (80.4% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

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

rewrite257.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational.json-simplify-47`
712×	`rational.json-simplify-50`
670×	`rational.json-simplify-49`
668×	`rational.json-simplify-58`
630×	`rational.json-5`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	113	48
2	369	48
3	1341	48
4	5467	44

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

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

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

simplify245.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational.json-simplify-47`
1222×	`rational.json-simplify-1`
1058×	`rational.json-simplify-2`
680×	`rational.json-simplify-50`
656×	`rational.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2923
1	312	2575
2	651	2567
3	1993	2559
4	6377	2559

Stop Event

1×	node limit

Counts

101 → 73

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 t y))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 t y))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 t y))) x))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 z y)) (.f64 -1 (/.f64 t y))) x))
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(/.f64 (-.f64 (.f64 z x) (.f64 t x)) y)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 z x)) (.f64 -1 (*.f64 t x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 z x)) (.f64 -1 (*.f64 t x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 z x)) (.f64 -1 (*.f64 t x))) y))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (.f64 z x)) (.f64 -1 (*.f64 t x))) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (*.f64 z x) y) 0)
(+.f64 0 (/.f64 (*.f64 z x) y))
(-.f64 (/.f64 (*.f64 z x) y) 0)
(-.f64 0 (neg.f64 (/.f64 (*.f64 z x) y)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (*.f64 z x) y))) 1)
(.f64 (/.f64 (.f64 z x) y) 1)
(.f64 (/.f64 (.f64 z x) y) (/.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)))
(.f64 1 (/.f64 (.f64 z x) y))
(.f64 (/.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 (.f64 z x) y))
(.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 1 (/.f64 (*.f64 z x) y)))
(.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 1 (/.f64 (.f64 z x) y)) 1))
(.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 (/.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 (*.f64 z x) y)))
(.f64 (/.f64 1 (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 z x) y)))
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(pow.f64 (/.f64 (*.f64 z x) y) 1)
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Outputs
(/.f64 (*.f64 z x) y)
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(/.f64 (*.f64 z x) y)
(.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 1 (/.f64 (.f64 z x) y)) 1))
(/.f64 (*.f64 z x) y)
(.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 (/.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (/.f64 (*.f64 z x) y)))
(/.f64 (*.f64 z x) y)
(.f64 (/.f64 1 (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 z x) y)))
(/.f64 (*.f64 z x) y)
(.f64 (.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y))) (/.f64 (/.f64 1 (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y))))
(/.f64 (*.f64 z x) y)
(.f64 (.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y))) (/.f64 (.f64 (/.f64 1 (/.f64 (.f64 z x) y)) 1) (.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 z x) y))))
(/.f64 (*.f64 z x) y)
(.f64 (.f64 (.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y))) (.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)))) (/.f64 (/.f64 (/.f64 1 (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y))) (.f64 (.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 z x) y)) (.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 z x) y)))))
(/.f64 (*.f64 z x) y)
(pow.f64 (/.f64 (*.f64 z x) y) 1)
(/.f64 (*.f64 z x) y)
(neg.f64 (neg.f64 (/.f64 (*.f64 z x) y)))
(/.f64 (*.f64 z x) y)
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
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(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) 0)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 0 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 0 (+.f64 (/.f64 (.f64 x t) y) (neg.f64 (/.f64 (.f64 z x) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 1 (-.f64 (/.f64 (.f64 x t) y) (+.f64 -1 (/.f64 (.f64 z x) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 1 (+.f64 (+.f64 (/.f64 (.f64 x t) y) 1) (neg.f64 (/.f64 (.f64 z x) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (+.f64 (/.f64 (.f64 z x) y) 1) (+.f64 (/.f64 (.f64 x t) y) 1))
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(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
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(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 1 (neg.f64 (/.f64 (.f64 z x) y))) (+.f64 (/.f64 (.f64 x t) y) 1))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 (-.f64 -1 (/.f64 (.f64 x t) y)) (neg.f64 (/.f64 (.f64 z x) y))) -1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 (/.f64 (.f64 z x) y) (+.f64 (/.f64 (.f64 x t) y) 1)) -1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 (neg.f64 (/.f64 (.f64 x t) y)) (-.f64 -1 (/.f64 (.f64 z x) y))) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (.f64 z x) y))) (+.f64 (/.f64 (.f64 x t) y) 1))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 0 (-.f64 (/.f64 (.f64 x t) y) 1)) (-.f64 1 (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 0 (-.f64 (/.f64 (.f64 x t) y) (+.f64 (/.f64 (.f64 z x) y) 1))) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(-.f64 (-.f64 (/.f64 (.f64 z x) y) (-.f64 (/.f64 (.f64 x t) y) 1)) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 x t) y)) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 x t) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 x t) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 x t) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 -1 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (*.f64 z x) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (*.f64 x t) y))) 1))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (/.f64 (/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))) (/.f64 (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (*.f64 z x) y)))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))) (/.f64 (.f64 (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) 1) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(.f64 (.f64 (.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))) (.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))))) (/.f64 (/.f64 (/.f64 1 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))) (.f64 (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))) (.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)) (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y))))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (/.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(pow.f64 (-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y)) 1)
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))
(neg.f64 (-.f64 (/.f64 (.f64 x t) y) (/.f64 (.f64 z x) y)))
(+.f64 (/.f64 (.f64 z x) y) (neg.f64 (/.f64 (.f64 x t) y)))
(-.f64 (/.f64 (.f64 z x) y) (/.f64 (.f64 x t) y))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 (*.f64 z x) y) t)
	5.6b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite107.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1990×	`rational.json-5`
1988×	`rational.json-1`
1988×	`rational.json-2`
1988×	`rational.json-4`
1988×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	76	19
2	255	19
3	954	19
4	3804	19

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify310.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-47`
1074×	`rational.json-simplify-49`
900×	`exponential.json-simplify-26`
874×	`rational.json-simplify-2`
780×	`rational.json-simplify-50`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	977
1	50	977
2	175	977
3	1135	977
4	4904	977
5	7723	977

Stop Event

1×	node limit

Counts

59 → 14

Calls

Call 1

Inputs
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 0)
(.f64 (+.f64 (/.f64 (.f64 z x) y) t) 1)
(.f64 (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)))
(.f64 1 (+.f64 (/.f64 (.f64 z x) y) t))
(.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (/.f64 1 (+.f64 (/.f64 (*.f64 z x) y) t)))
(.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) 1))
(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (*.f64 z x) y) t)))
(.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t))) (/.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t))))
(/.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 1)
(/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (*.f64 z x) y) t)))
(pow.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 1)

Outputs
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(-.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 0)
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (+.f64 (/.f64 (.f64 z x) y) t) 1)
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)))
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 1 (+.f64 (/.f64 (.f64 z x) y) t))
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (/.f64 1 (+.f64 (/.f64 (*.f64 z x) y) t)))
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) 1))
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (*.f64 z x) y) t)))
(+.f64 t (/.f64 (*.f64 z x) y))
(.f64 (.f64 (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t))) (/.f64 (/.f64 1 (+.f64 (/.f64 (.f64 z x) y) t)) (.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (.f64 z x) y) t))))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 1)
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (/.f64 (+.f64 (/.f64 (.f64 z x) y) t) (+.f64 (/.f64 (*.f64 z x) y) t)))
(+.f64 t (/.f64 (*.f64 z x) y))
(pow.f64 (+.f64 (/.f64 (*.f64 z x) y) t) 1)
(+.f64 t (/.f64 (*.f64 z x) y))

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 z t) x)
✓	6.3b	(/.f64 (*.f64 (-.f64 z t) x) y)

Compiler

Compiled 32 to 8 computations (75% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/.f64 (*.f64 (-.f64 z t) x) y)
1.0ms	x	@	inf	(*.f64 (-.f64 z t) x)
1.0ms	y	@	inf	(/.f64 (*.f64 (-.f64 z t) x) y)
0.0ms	x	@	-inf	(*.f64 (-.f64 z t) x)
0.0ms	y	@	-inf	(/.f64 (*.f64 (-.f64 z t) x) y)

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1972×	`rational.json-5`
1970×	`rational.json-1`
1970×	`rational.json-2`
1970×	`rational.json-4`
1970×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	75	32
2	257	32
3	957	32
4	3770	32

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

Outputs

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

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

simplify264.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-2`
1260×	`rational.json-simplify-54`
610×	`rational.json-simplify-58`
600×	`rational.json-simplify-47`
556×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	1559
1	85	1475
2	194	1367
3	688	1367
4	2470	1367
5	5191	1367
6	7402	1367

Stop Event

1×	node limit

Counts

65 → 35

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (.f64 t x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(*.f64 z x)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(*.f64 z x)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(*.f64 z x)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(.f64 -1 (.f64 t x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(.f64 -1 (.f64 t x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 0)
(+.f64 0 (/.f64 (*.f64 (-.f64 z t) x) y))
(-.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 0)
(.f64 (/.f64 (.f64 (-.f64 z t) x) y) 1)
(.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)))
(.f64 1 (/.f64 (.f64 (-.f64 z t) x) y))
(.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (/.f64 1 (/.f64 (*.f64 (-.f64 z t) x) y)))
(.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) 1))
(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (*.f64 (-.f64 z t) x) y)))
(.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y))) (/.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y))))
(pow.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 1)
(+.f64 (*.f64 (-.f64 z t) x) 0)
(+.f64 0 (*.f64 (-.f64 z t) x))
(-.f64 (*.f64 (-.f64 z t) x) 0)
(/.f64 (*.f64 (-.f64 z t) x) 1)
(/.f64 (.f64 (-.f64 z t) x) (/.f64 (.f64 (-.f64 z t) x) (*.f64 (-.f64 z t) x)))
(pow.f64 (*.f64 (-.f64 z t) x) 1)

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(.f64 -1 (.f64 t x))
(*.f64 t (neg.f64 x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(*.f64 z x)
(*.f64 x z)
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 -1 (.f64 t x)) (*.f64 z x))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(.f64 -1 (.f64 t x))
(*.f64 t (neg.f64 x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(.f64 -1 (.f64 t x))
(*.f64 t (neg.f64 x))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (.f64 z x) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 -1 (*.f64 t x)))
(+.f64 (.f64 x z) (.f64 t (neg.f64 x)))
(*.f64 x (+.f64 z (neg.f64 t)))
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 0)
(/.f64 (*.f64 x (-.f64 z t)) y)
(+.f64 0 (/.f64 (*.f64 (-.f64 z t) x) y))
(/.f64 (*.f64 x (-.f64 z t)) y)
(-.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 0)
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (/.f64 (.f64 (-.f64 z t) x) y) 1)
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)))
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 1 (/.f64 (.f64 (-.f64 z t) x) y))
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (/.f64 1 (/.f64 (*.f64 (-.f64 z t) x) y)))
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) 1))
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (*.f64 (-.f64 z t) x) y)))
(/.f64 (*.f64 x (-.f64 z t)) y)
(.f64 (.f64 (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y))) (/.f64 (/.f64 1 (/.f64 (.f64 (-.f64 z t) x) y)) (.f64 (/.f64 (.f64 (-.f64 z t) x) y) (/.f64 (.f64 (-.f64 z t) x) y))))
(/.f64 (*.f64 x (-.f64 z t)) y)
(pow.f64 (/.f64 (*.f64 (-.f64 z t) x) y) 1)
(/.f64 (*.f64 x (-.f64 z t)) y)
(+.f64 (*.f64 (-.f64 z t) x) 0)
(*.f64 x (-.f64 z t))
(+.f64 0 (*.f64 (-.f64 z t) x))
(*.f64 x (-.f64 z t))
(-.f64 (*.f64 (-.f64 z t) x) 0)
(*.f64 x (-.f64 z t))
(/.f64 (*.f64 (-.f64 z t) x) 1)
(*.f64 x (-.f64 z t))
(/.f64 (.f64 (-.f64 z t) x) (/.f64 (.f64 (-.f64 z t) x) (*.f64 (-.f64 z t) x)))
(*.f64 x (-.f64 z t))
(pow.f64 (*.f64 (-.f64 z t) x) 1)
(*.f64 x (-.f64 z t))

eval50.0ms (0.5%)

Compiler: Compiled 5428 to 1112 computations (79.5% saved)

prune61.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	249	6	255
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	251	9	260

Error

0.0b

Counts

260 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.3b	(/.f64 (*.f64 z x) y)
▶	25.4b	(-.f64 t (/.f64 (*.f64 t x) y))
✓	6.1b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	14.7b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	2.2b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	6.2b	(+.f64 (*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x) t)
▶	23.5b	(*.f64 t (-.f64 1 (/.f64 x y)))
▶	53.3b	(neg.f64 (/.f64 (*.f64 t x) y))
	33.8b	t

Compiler

Compiled 154 to 101 computations (34.4% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.7b	(-.f64 (/.f64 z y) (/.f64 t y))
✓	6.5b	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)

Compiler

Compiled 41 to 9 computations (78% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
1.0ms	y	@	inf	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
1.0ms	x	@	0	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
1.0ms	y	@	0	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)
1.0ms	z	@	0	(*.f64 (-.f64 (/.f64 z y) (/.f64 t y)) x)

rewrite122.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational.json-simplify-2`
974×	`rational.json-simplify-79`
576×	`rational.json-simplify-47`
536×	`rational.json-simplify-54`
514×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	83	44
2	282	44
3	1054	44
4	4186	44

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify289.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1094×	`rational.json-simplify-49`
1026×	`rational.json-simplify-111`
772×	`rational.json-simplify-2`
764×	`rational.json-simplify-54`
668×	`rational.json-simplify-41`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	84	2462
1	157	2314
2	450	2314
3	1498	2298
4	4587	2298
5	7890	2266

Stop Event

1×	node limit

Counts

104 → 58

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.6b	(/.f64 (*.f64 z x) y)

Compiler

Compiled 15 to 6 computations (60% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	5.3b	(/.f64 (*.f64 t x) y)

Compiler

Compiled 21 to 7 computations (66.7% saved)

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 x y))
✓	1.8b	(*.f64 t (-.f64 1 (/.f64 x y)))

Compiler

Compiled 23 to 11 computations (52.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

15 calls:

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

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`rational.json-5`
1808×	`exponential.json-3`
1808×	`rational.json-1`
1808×	`rational.json-2`
1808×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	75	32
2	239	32
3	882	32
4	3471	32

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 1 (/.f64 x y))

Outputs

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

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

simplify282.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1298×	`rational.json-simplify-58`
1104×	`rational.json-simplify-47`
972×	`rational.json-simplify-49`
928×	`rational.json-simplify-2`
712×	`rational.json-simplify-111`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	1312
1	89	1196
2	275	1060
3	1273	1060
4	4808	1060
5	7419	1060

Stop Event

1×	node limit

Counts

70 → 34

Calls

Call 1

Inputs
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(*.f64 -1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 0)
(+.f64 0 (*.f64 t (-.f64 1 (/.f64 x y))))
(-.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 0)
(/.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 1)
(/.f64 (.f64 t (-.f64 1 (/.f64 x y))) (/.f64 (.f64 t (-.f64 1 (/.f64 x y))) (*.f64 t (-.f64 1 (/.f64 x y)))))
(pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 1)
(+.f64 (-.f64 1 (/.f64 x y)) 0)
(+.f64 0 (-.f64 1 (/.f64 x y)))
(+.f64 (-.f64 -1 (+.f64 (/.f64 x y) -1)) 1)
(*.f64 1 (-.f64 1 (/.f64 x y)))
(*.f64 (-.f64 1 (/.f64 x y)) 1)
(*.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(*.f64 (+.f64 (/.f64 x y) -1) -1)
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))) (/.f64 1 (-.f64 1 (/.f64 x y))))
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) 1))
(.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (.f64 (-.f64 1 (/.f64 x y)) (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))) (/.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) (*.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y)))))
(/.f64 (-.f64 1 (/.f64 x y)) 1)
(/.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(/.f64 (+.f64 (/.f64 x y) -1) -1)
(pow.f64 (-.f64 1 (/.f64 x y)) 1)
(neg.f64 (+.f64 (/.f64 x y) -1))

Outputs
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 -1 (/.f64 x y))
(neg.f64 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
1
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 0)
(*.f64 t (-.f64 1 (/.f64 x y)))
(+.f64 0 (*.f64 t (-.f64 1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(-.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 0)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 1)
(*.f64 t (-.f64 1 (/.f64 x y)))
(/.f64 (.f64 t (-.f64 1 (/.f64 x y))) (/.f64 (.f64 t (-.f64 1 (/.f64 x y))) (*.f64 t (-.f64 1 (/.f64 x y)))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(pow.f64 (*.f64 t (-.f64 1 (/.f64 x y))) 1)
(*.f64 t (-.f64 1 (/.f64 x y)))
(+.f64 (-.f64 1 (/.f64 x y)) 0)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 0 (-.f64 1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(+.f64 (-.f64 -1 (+.f64 (/.f64 x y) -1)) 1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 1 (-.f64 1 (/.f64 x y)))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(*.f64 (+.f64 (/.f64 x y) -1) -1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))) (/.f64 1 (-.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))) (*.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) 1))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(.f64 (.f64 (-.f64 1 (/.f64 x y)) (.f64 (-.f64 1 (/.f64 x y)) (.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))) (/.f64 (/.f64 1 (-.f64 1 (/.f64 x y))) (*.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y)))))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(/.f64 (-.f64 1 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(/.f64 (-.f64 1 (/.f64 x y)) (/.f64 (-.f64 1 (/.f64 x y)) (-.f64 1 (/.f64 x y))))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(/.f64 (+.f64 (/.f64 x y) -1) -1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(pow.f64 (-.f64 1 (/.f64 x y)) 1)
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))
(neg.f64 (+.f64 (/.f64 x y) -1))
(+.f64 1 (*.f64 -1 (/.f64 x y)))
(+.f64 1 (neg.f64 (/.f64 x y)))
(-.f64 1 (/.f64 x y))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 t (/.f64 (*.f64 t x) y))
	5.3b	(/.f64 (*.f64 t x) y)

Compiler

Compiled 22 to 7 computations (68.2% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`rational.json-5`
1774×	`exponential.json-3`
1774×	`rational.json-1`
1774×	`rational.json-2`
1774×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	67	19
2	232	19
3	862	19
4	3393	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

Outputs

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

simplify258.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-2`
1204×	`rational.json-simplify-58`
986×	`rational.json-simplify-43`
860×	`rational.json-simplify-111`
784×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	1061
1	78	1019
2	130	1019
3	345	1019
4	1832	1019
5	4084	1019
6	6878	1019

Stop Event

1×	node limit

Counts

53 → 25

Calls

Call 1

Inputs
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 0)
(+.f64 0 (-.f64 t (/.f64 (*.f64 t x) y)))
(+.f64 1 (-.f64 -1 (-.f64 (/.f64 (*.f64 t x) y) t)))
(+.f64 (-.f64 -1 (-.f64 (/.f64 (*.f64 t x) y) t)) 1)
(.f64 (-.f64 t (/.f64 (.f64 t x) y)) 1)
(.f64 (-.f64 t (/.f64 (.f64 t x) y)) (/.f64 (-.f64 (/.f64 (.f64 t x) y) t) (-.f64 (/.f64 (.f64 t x) y) t)))
(.f64 1 (-.f64 t (/.f64 (.f64 t x) y)))
(.f64 (-.f64 (/.f64 (.f64 t x) y) t) -1)
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))) (/.f64 1 (-.f64 t (/.f64 (*.f64 t x) y))))
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) 1))
(.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (*.f64 t x) y))))
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))))) (/.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y)))))
(/.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 1)
(/.f64 (-.f64 t (/.f64 (.f64 t x) y)) (/.f64 (-.f64 (/.f64 (.f64 t x) y) t) (-.f64 (/.f64 (*.f64 t x) y) t)))
(/.f64 (-.f64 (/.f64 (*.f64 t x) y) t) -1)
(pow.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 1)
(neg.f64 (-.f64 (/.f64 (*.f64 t x) y) t))

Outputs
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(*.f64 t (-.f64 1 (/.f64 x y)))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(*.f64 t (-.f64 1 (/.f64 x y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (neg.f64 (/.f64 (*.f64 t x) y)))
(+.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 0)
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 0 (-.f64 t (/.f64 (*.f64 t x) y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 1 (-.f64 -1 (-.f64 (/.f64 (*.f64 t x) y) t)))
(-.f64 t (/.f64 (*.f64 t x) y))
(+.f64 (-.f64 -1 (-.f64 (/.f64 (*.f64 t x) y) t)) 1)
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (-.f64 t (/.f64 (.f64 t x) y)) 1)
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (-.f64 t (/.f64 (.f64 t x) y)) (/.f64 (-.f64 (/.f64 (.f64 t x) y) t) (-.f64 (/.f64 (.f64 t x) y) t)))
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 1 (-.f64 t (/.f64 (.f64 t x) y)))
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (-.f64 (/.f64 (.f64 t x) y) t) -1)
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))) (/.f64 1 (-.f64 t (/.f64 (*.f64 t x) y))))
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) 1))
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (*.f64 t x) y))))
(-.f64 t (/.f64 (*.f64 t x) y))
(.f64 (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y))))) (/.f64 (/.f64 1 (-.f64 t (/.f64 (.f64 t x) y))) (.f64 (-.f64 t (/.f64 (.f64 t x) y)) (-.f64 t (/.f64 (.f64 t x) y)))))
(-.f64 t (/.f64 (*.f64 t x) y))
(/.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 1)
(-.f64 t (/.f64 (*.f64 t x) y))
(/.f64 (-.f64 t (/.f64 (.f64 t x) y)) (/.f64 (-.f64 (/.f64 (.f64 t x) y) t) (-.f64 (/.f64 (*.f64 t x) y) t)))
(-.f64 t (/.f64 (*.f64 t x) y))
(/.f64 (-.f64 (/.f64 (*.f64 t x) y) t) -1)
(-.f64 t (/.f64 (*.f64 t x) y))
(pow.f64 (-.f64 t (/.f64 (*.f64 t x) y)) 1)
(-.f64 t (/.f64 (*.f64 t x) y))
(neg.f64 (-.f64 (/.f64 (*.f64 t x) y) t))
(-.f64 t (/.f64 (*.f64 t x) y))

eval37.0ms (0.3%)

Compiler: Compiled 3569 to 860 computations (75.9% saved)

prune46.0ms (0.4%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	204	12	216

Error

0.0b

Counts

216 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(/.f64 (*.f64 z x) y)
✓	25.4b	(-.f64 t (/.f64 (*.f64 t x) y))
✓	6.1b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	14.7b	(+.f64 (/.f64 (*.f64 z x) y) t)
▶	6.2b	(+.f64 (*.f64 (/.f64 (-.f64 z t) y) x) t)
▶	15.0b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	2.2b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
▶	25.6b	(+.f64 (*.f64 (neg.f64 (/.f64 t y)) x) t)
✓	23.5b	(*.f64 t (-.f64 1 (/.f64 x y)))
▶	52.7b	(*.f64 t (neg.f64 (/.f64 x y)))
✓	53.3b	(neg.f64 (/.f64 (*.f64 t x) y))
	33.8b	t

Compiler

Compiled 129 to 85 computations (34.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.5b	(*.f64 t (neg.f64 (/.f64 x y)))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	t	@	0	(*.f64 t (neg.f64 (/.f64 x y)))
0.0ms	y	@	0	(*.f64 t (neg.f64 (/.f64 x y)))
0.0ms	x	@	0	(*.f64 t (neg.f64 (/.f64 x y)))
0.0ms	x	@	inf	(*.f64 t (neg.f64 (/.f64 x y)))
0.0ms	t	@	inf	(*.f64 t (neg.f64 (/.f64 x y)))

rewrite90.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`rational.json-1`
1974×	`rational.json-2`
1974×	`rational.json-3`
1970×	`rational.json-5`
1968×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	79	17
2	269	17
3	963	17
4	3894	17

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

Outputs

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

simplify219.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational.json-simplify-47`
996×	`rational.json-simplify-54`
832×	`rational.json-simplify-76`
802×	`rational.json-simplify-111`
744×	`rational.json-simplify-104`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	803
1	41	731
2	98	731
3	280	731
4	1184	731
5	2842	731
6	5609	731
7	7282	731

Stop Event

1×	node limit

Counts

43 → 11

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (*.f64 t (neg.f64 (/.f64 x y))) 0)
(+.f64 0 (*.f64 t (neg.f64 (/.f64 x y))))
(-.f64 (*.f64 t (neg.f64 (/.f64 x y))) 0)
(/.f64 (*.f64 t (neg.f64 (/.f64 x y))) 1)
(/.f64 (.f64 t (neg.f64 (/.f64 x y))) (/.f64 (.f64 t (neg.f64 (/.f64 x y))) (*.f64 t (neg.f64 (/.f64 x y)))))
(/.f64 (*.f64 t (/.f64 x y)) -1)
(pow.f64 (*.f64 t (neg.f64 (/.f64 x y))) 1)

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (*.f64 t (neg.f64 (/.f64 x y))) 0)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(+.f64 0 (*.f64 t (neg.f64 (/.f64 x y))))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(-.f64 (*.f64 t (neg.f64 (/.f64 x y))) 0)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(/.f64 (*.f64 t (neg.f64 (/.f64 x y))) 1)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(/.f64 (.f64 t (neg.f64 (/.f64 x y))) (/.f64 (.f64 t (neg.f64 (/.f64 x y))) (*.f64 t (neg.f64 (/.f64 x y)))))
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(/.f64 (*.f64 t (/.f64 x y)) -1)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))
(pow.f64 (*.f64 t (neg.f64 (/.f64 x y))) 1)
(*.f64 t (neg.f64 (/.f64 x y)))
(*.f64 (/.f64 x y) (neg.f64 t))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (neg.f64 (/.f64 t y)) x) t)
✓	5.5b	(*.f64 (neg.f64 (/.f64 t y)) x)

Compiler

Compiled 28 to 8 computations (71.4% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`rational.json-simplify-79`
682×	`rational.json-simplify-54`
678×	`rational.json-simplify-47`
574×	`rational.json-simplify-50`
560×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	88	40
2	295	40
3	1065	40
4	4316	40

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(*.f64 (neg.f64 (/.f64 t y)) x)
(+.f64 (*.f64 (neg.f64 (/.f64 t y)) x) t)

Outputs

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

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

simplify208.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1394×	`rational.json-simplify-2`
972×	`rational.json-simplify-50`
916×	`rational.json-simplify-54`
888×	`rational.json-simplify-43`
822×	`rational.json-simplify-58`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	90	2419
1	200	2177
2	503	2177
3	2250	2129
4	5878	2025

Stop Event

1×	node limit

Counts

109 → 53

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 t (+.f64 1 (.f64 -1 (/.f64 x y))))
(.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1)))
(.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1)))
(.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1)))
(.f64 -1 (.f64 t (-.f64 (/.f64 x y) 1)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
t
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 t (.f64 -1 (/.f64 (.f64 t x) y)))
(+.f64 (*.f64 (/.f64 t y) (neg.f64 x)) 0)
(+.f64 0 (*.f64 (/.f64 t y) (neg.f64 x)))
(-.f64 (*.f64 (/.f64 t y) (neg.f64 x)) 0)
(-.f64 0 (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (/.f64 t y) (neg.f64 x)))) 1)
(/.f64 (*.f64 (/.f64 t y) (neg.f64 x)) 1)
(/.f64 (.f64 (/.f64 t y) (neg.f64 x)) (/.f64 (.f64 (/.f64 t y) x) (*.f64 (/.f64 t y) x)))
(/.f64 (*.f64 (/.f64 t y) x) -1)
(pow.f64 (*.f64 (/.f64 t y) (neg.f64 x)) 1)
(neg.f64 (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(neg.f64 (*.f64 (/.f64 t y) x))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(-.f64 (*.f64 (/.f64 t y) (neg.f64 x)) (neg.f64 t))
(-.f64 (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))) 0)
(-.f64 0 (-.f64 (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))) t))
(-.f64 (-.f64 (*.f64 (/.f64 t y) (neg.f64 x)) (-.f64 -1 t)) 1)
(-.f64 (-.f64 t (-.f64 -1 (*.f64 (/.f64 t y) (neg.f64 x)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 t)) (-.f64 1 (*.f64 (/.f64 t y) (neg.f64 x))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 t) (*.f64 (/.f64 t y) (neg.f64 x)))) 1)
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(.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))
(.f64 (/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))
(.f64 -1 (-.f64 (.f64 (/.f64 t y) x) t))
(.f64 -1 (-.f64 (.f64 (*.f64 (/.f64 t y) x) 1) t))
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(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) 1))
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(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))))
(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (/.f64 (.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) 1) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))))))
(.f64 (.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))))))))
(/.f64 (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))) 1)
(/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))))
(pow.f64 (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))) 1)
(neg.f64 (-.f64 (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))) t))

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
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(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
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(.f64 -1 (/.f64 (.f64 t x) y))
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(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(.f64 -1 (/.f64 (.f64 t x) y))
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t
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t
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t
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(/.f64 (*.f64 (/.f64 t y) x) -1)
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(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (/.f64 (/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (/.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (/.f64 (.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) 1) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(.f64 (.f64 (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x)))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))))))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(/.f64 (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))) 1)
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (/.f64 (+.f64 t (.f64 (/.f64 t y) (neg.f64 x))) (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(pow.f64 (+.f64 t (*.f64 (/.f64 t y) (neg.f64 x))) 1)
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))
(neg.f64 (-.f64 (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))) t))
(-.f64 t (neg.f64 (*.f64 (/.f64 t y) (neg.f64 x))))
(+.f64 t (*.f64 (/.f64 t y) (neg.f64 x)))
(+.f64 t (*.f64 x (neg.f64 (/.f64 t y))))
(-.f64 t (*.f64 x (/.f64 t y)))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	7.3b	(*.f64 (/.f64 z y) x)

Compiler

Compiled 23 to 7 computations (69.6% saved)

series3.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2006×	`rational.json-5`
2004×	`rational.json-1`
2004×	`rational.json-2`
2004×	`rational.json-4`
2004×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	76	32
2	255	32
3	954	32
4	3822	32

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

Outputs

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

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

simplify276.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-58`
906×	`rational.json-simplify-47`
670×	`rational.json-simplify-49`
656×	`rational.json-simplify-2`
638×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	1523
1	69	1523
2	229	1523
3	1032	1523
4	3745	1523
5	6303	1523

Stop Event

1×	node limit

Counts

101 → 23

Calls

Call 1

Inputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (*.f64 (/.f64 z y) x) 0)
(+.f64 0 (*.f64 (/.f64 z y) x))
(-.f64 (*.f64 (/.f64 z y) x) 0)
(/.f64 (*.f64 (/.f64 z y) x) 1)
(/.f64 (.f64 (/.f64 z y) x) (/.f64 (.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(-.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 0)
(.f64 (+.f64 (.f64 (/.f64 z y) x) t) 1)
(.f64 (+.f64 (.f64 (/.f64 z y) x) t) (/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)))
(.f64 1 (+.f64 (.f64 (/.f64 z y) x) t))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)) (/.f64 1 (+.f64 (*.f64 (/.f64 z y) x) t)))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) 1))
(.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (*.f64 (/.f64 z y) x) t)))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)))) (/.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t))))
(/.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 1)
(/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (*.f64 (/.f64 z y) x) t)))
(pow.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 1)

Outputs
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 z x) y)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(/.f64 (*.f64 z x) y)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
t
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 t (/.f64 (*.f64 z x) y))
(+.f64 (/.f64 (*.f64 z x) y) t)
(+.f64 (*.f64 (/.f64 z y) x) 0)
(*.f64 x (/.f64 z y))
(+.f64 0 (*.f64 (/.f64 z y) x))
(*.f64 x (/.f64 z y))
(-.f64 (*.f64 (/.f64 z y) x) 0)
(*.f64 x (/.f64 z y))
(/.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 x (/.f64 z y))
(/.f64 (.f64 (/.f64 z y) x) (/.f64 (.f64 (/.f64 z y) x) (*.f64 (/.f64 z y) x)))
(*.f64 x (/.f64 z y))
(pow.f64 (*.f64 (/.f64 z y) x) 1)
(*.f64 x (/.f64 z y))
(-.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 0)
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (+.f64 (.f64 (/.f64 z y) x) t) 1)
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (+.f64 (.f64 (/.f64 z y) x) t) (/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 1 (+.f64 (.f64 (/.f64 z y) x) t))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)) (/.f64 1 (+.f64 (*.f64 (/.f64 z y) x) t)))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) 1))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (*.f64 (/.f64 z y) x) t)))
(+.f64 t (*.f64 x (/.f64 z y)))
(.f64 (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t)))) (/.f64 (/.f64 1 (+.f64 (.f64 (/.f64 z y) x) t)) (.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (.f64 (/.f64 z y) x) t))))
(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 1)
(+.f64 t (*.f64 x (/.f64 z y)))
(/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (/.f64 (+.f64 (.f64 (/.f64 z y) x) t) (+.f64 (*.f64 (/.f64 z y) x) t)))
(+.f64 t (*.f64 x (/.f64 z y)))
(pow.f64 (+.f64 (*.f64 (/.f64 z y) x) t) 1)
(+.f64 t (*.f64 x (/.f64 z y)))

localize23.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 z t) y)
✓	6.5b	(*.f64 (/.f64 (-.f64 z t) y) x)

Compiler

Compiled 32 to 8 computations (75% saved)

series7.0ms (0.1%)

Counts

2 → 72

Calls

21 calls:

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

rewrite123.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`rational.json-5`
1986×	`rational.json-1`
1986×	`rational.json-2`
1986×	`rational.json-4`
1986×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	75	32
2	257	32
3	957	32
4	3788	32

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

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

Outputs

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

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

simplify226.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational.json-simplify-2`
1194×	`rational.json-simplify-104`
966×	`rational.json-simplify-55`
836×	`rational.json-simplify-111`
774×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	1985
1	83	1901
2	180	1901
3	566	1901
4	2526	1901
5	5611	1901

Stop Event

1×	node limit

Counts

89 → 33

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 z x) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(.f64 -1 (/.f64 (.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 0)
(+.f64 0 (*.f64 (/.f64 (-.f64 z t) y) x))
(-.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 0)
(/.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 1)
(/.f64 (.f64 (/.f64 (-.f64 z t) y) x) (/.f64 (.f64 (/.f64 (-.f64 z t) y) x) (*.f64 (/.f64 (-.f64 z t) y) x)))
(pow.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 1)
(+.f64 (/.f64 (-.f64 z t) y) 0)
(+.f64 0 (/.f64 (-.f64 z t) y))
(-.f64 (/.f64 (-.f64 z t) y) 0)
(*.f64 (/.f64 (-.f64 z t) y) 1)
(*.f64 (/.f64 (-.f64 z t) y) (/.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))
(*.f64 1 (/.f64 (-.f64 z t) y))
(.f64 (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)) (/.f64 1 (/.f64 (-.f64 z t) y)))
(.f64 (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)) (*.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))
(.f64 (.f64 (/.f64 (-.f64 z t) y) (.f64 (/.f64 (-.f64 z t) y) (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))) (/.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) (*.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y))))
(pow.f64 (/.f64 (-.f64 z t) y) 1)

Outputs
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 z x) y)
(/.f64 (*.f64 x z) y)
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(.f64 -1 (/.f64 (.f64 t x) y))
(neg.f64 (/.f64 (*.f64 t x) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(+.f64 (/.f64 (.f64 z x) y) (.f64 -1 (/.f64 (*.f64 t x) y)))
(+.f64 (.f64 -1 (/.f64 (.f64 t x) y)) (/.f64 (*.f64 x z) y))
(+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 x z) y))
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(/.f64 (*.f64 (-.f64 z t) x) y)
(/.f64 (*.f64 x (-.f64 z t)) y)
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(/.f64 z y)
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(*.f64 -1 (/.f64 t y))
(neg.f64 (/.f64 t y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 -1 (/.f64 t y)) (/.f64 z y))
(+.f64 (neg.f64 (/.f64 t y)) (/.f64 z y))
(+.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 0)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 0 (*.f64 (/.f64 (-.f64 z t) y) x))
(*.f64 x (/.f64 (-.f64 z t) y))
(-.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 0)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 1)
(*.f64 x (/.f64 (-.f64 z t) y))
(/.f64 (.f64 (/.f64 (-.f64 z t) y) x) (/.f64 (.f64 (/.f64 (-.f64 z t) y) x) (*.f64 (/.f64 (-.f64 z t) y) x)))
(*.f64 x (/.f64 (-.f64 z t) y))
(pow.f64 (*.f64 (/.f64 (-.f64 z t) y) x) 1)
(*.f64 x (/.f64 (-.f64 z t) y))
(+.f64 (/.f64 (-.f64 z t) y) 0)
(/.f64 (-.f64 z t) y)
(+.f64 0 (/.f64 (-.f64 z t) y))
(/.f64 (-.f64 z t) y)
(-.f64 (/.f64 (-.f64 z t) y) 0)
(/.f64 (-.f64 z t) y)
(*.f64 (/.f64 (-.f64 z t) y) 1)
(/.f64 (-.f64 z t) y)
(*.f64 (/.f64 (-.f64 z t) y) (/.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))
(/.f64 (-.f64 z t) y)
(*.f64 1 (/.f64 (-.f64 z t) y))
(/.f64 (-.f64 z t) y)
(.f64 (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)) (/.f64 1 (/.f64 (-.f64 z t) y)))
(/.f64 (-.f64 z t) y)
(.f64 (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)) (*.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) 1))
(/.f64 (-.f64 z t) y)
(.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))
(/.f64 (-.f64 z t) y)
(.f64 (.f64 (/.f64 (-.f64 z t) y) (.f64 (/.f64 (-.f64 z t) y) (.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y)))) (/.f64 (/.f64 1 (/.f64 (-.f64 z t) y)) (*.f64 (/.f64 (-.f64 z t) y) (/.f64 (-.f64 z t) y))))
(/.f64 (-.f64 z t) y)
(pow.f64 (/.f64 (-.f64 z t) y) 1)
(/.f64 (-.f64 z t) y)

eval38.0ms (0.4%)

Compiler: Compiled 1784 to 370 computations (79.3% saved)

prune43.0ms (0.4%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	1	1
Picked	0	1	1
Done	2	8	10
Total	121	11	132

Error

0.0b

Counts

132 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	43.3b	(/.f64 (*.f64 z x) y)
✓	25.4b	(-.f64 t (/.f64 (*.f64 t x) y))
	25.6b	(-.f64 t (*.f64 x (/.f64 t y)))
✓	6.1b	(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t)
✓	14.7b	(+.f64 (/.f64 (*.f64 z x) y) t)
✓	6.2b	(+.f64 (*.f64 (/.f64 (-.f64 z t) y) x) t)
✓	15.0b	(+.f64 (*.f64 (/.f64 z y) x) t)
✓	2.2b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
✓	52.7b	(*.f64 t (neg.f64 (/.f64 x y)))
✓	53.3b	(neg.f64 (/.f64 (*.f64 t x) y))
	33.8b	t

Compiler

Compiled 117 to 76 computations (35% saved)

regimes249.0ms (2.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	z
57.0ms	t
53.0ms	y
37.0ms	(/.f64 x y)
21.0ms	x

Results

Error	Segments	Branch
2.2b	1	`x`
0.6b	3	`y`
0.9b	3	`z`
0.9b	3	`t`
2.2b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.2b	2	`(/.f64 x y)`

Compiler

Compiled 165 to 70 computations (57.6% saved)

bsearch10.0ms (0.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
6.0ms	1.3214725760200512e+81	2.203916969350195e+83
3.0ms	-2.766589119184183e+36	-1.1892335159540314e+33

Results

7.0ms	48×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 119 to 77 computations (35.3% saved)

regimes213.0ms (2%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

6 calls:

51.0ms	t
46.0ms	y
45.0ms	z
30.0ms	(/.f64 x y)
19.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

Results

Error	Segments	Branch
2.2b	1	`x`
0.6b	3	`y`
0.9b	3	`z`
0.9b	3	`t`
2.2b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
1.2b	2	`(/.f64 x y)`

Compiler

Compiled 151 to 68 computations (55% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.3214725760200512e+81	2.203916969350195e+83
21.0ms	-2.766589119184183e+36	-1.1892335159540314e+33

Results

30.0ms	176×	body	256	valid
1.0ms	5×	body	256	infinite

Compiler

Compiled 328 to 212 computations (35.4% saved)

regimes112.0ms (1.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

6 calls:

40.0ms	t
15.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	z
13.0ms	x
13.0ms	y

Results

Error	Segments	Branch
2.2b	1	`x`
2.2b	1	`y`
2.2b	1	`z`
0.9b	3	`t`
2.2b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
2.2b	1	`(/.f64 x y)`

Compiler

Compiled 131 to 62 computations (52.7% saved)

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	-3.248126623843845e-263	-3.195381465987218e-264
17.0ms	-2.876501966578718e-104	-7.11832476996416e-105

Results

30.0ms

192×

body

256

valid

Compiler

Compiled 356 to 230 computations (35.4% saved)

regimes87.0ms (0.8%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

6 calls:

21.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	z
13.0ms	x
12.0ms	y
12.0ms	t

Results

Error	Segments	Branch
2.2b	1	`x`
2.2b	1	`y`
2.2b	1	`z`
2.2b	1	`t`
2.2b	1	`(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)`
2.2b	1	`(/.f64 x y)`

Compiler

Compiled 122 to 59 computations (51.6% saved)

regimes222.0ms (2.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

5 calls:

70.0ms	(/.f64 x y)
48.0ms	y
44.0ms	t
33.0ms	z
23.0ms	x

Results

Error	Segments	Branch
12.9b	2	`x`
11.9b	4	`y`
8.6b	3	`z`
9.6b	3	`t`
9.1b	7	`(/.f64 x y)`

Compiler

Compiled 100 to 48 computations (52% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.5052824967421995e-131	4.305427547534894e-127
27.0ms	-1.4326379696550617e-128	-1.345233074905773e-134

Results

42.0ms

272×

body

256

valid

Compiler

Compiled 428 to 286 computations (33.2% saved)

regimes175.0ms (1.6%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	(/.f64 x y)
37.0ms	y
35.0ms	t
27.0ms	z
17.0ms	x

Results

Error	Segments	Branch
12.9b	2	`x`
11.9b	4	`y`
8.9b	3	`z`
9.6b	3	`t`
9.1b	7	`(/.f64 x y)`

Compiler

Compiled 77 to 43 computations (44.2% saved)

bsearch50.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	1.5052824967421995e-131	4.305427547534894e-127
26.0ms	-1.4326379696550617e-128	-1.345233074905773e-134

Results

43.0ms

272×

body

256

valid

Compiler

Compiled 428 to 303 computations (29.2% saved)

regimes120.0ms (1.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	t
26.0ms	(/.f64 x y)
25.0ms	z
25.0ms	y
8.0ms	x

Results

Error	Segments	Branch
15.0b	1	`x`
13.5b	3	`y`
9.5b	3	`z`
9.6b	3	`t`
12.0b	4	`(/.f64 x y)`

Compiler

Compiled 63 to 39 computations (38.1% saved)

bsearch258.0ms (2.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
182.0ms	1.5052824967421995e-131	4.305427547534894e-127
76.0ms	-1.4326379696550617e-128	-1.345233074905773e-134

Results

92.0ms

272×

body

256

valid

Compiler

Compiled 428 to 303 computations (29.2% saved)

regimes304.0ms (2.9%)

Counts

5 → 5

Calls

Call 1

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

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

Calls

5 calls:

161.0ms	x
42.0ms	y
38.0ms	t
34.0ms	z
25.0ms	(/.f64 x y)

Results

Error	Segments	Branch
22.3b	3	`x`
19.1b	5	`y`
20.3b	4	`z`
15.5b	5	`t`
20.2b	4	`(/.f64 x y)`

Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch167.0ms (1.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
19.0ms	6.32675998260681e-80	6.428355641185583e-78
28.0ms	2.017873959224742e-106	1.0226121030019629e-100
14.0ms	1.2617058333793623e-173	1.89681489326486e-173
106.0ms	-1.454327159163735e-116	-2.1985332672495875e-118

Results

70.0ms

432×

body

256

valid

Compiler

Compiled 614 to 446 computations (27.4% saved)

regimes175.0ms (1.6%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

5 calls:

55.0ms	x
32.0ms	t
31.0ms	z
29.0ms	(/.f64 x y)
24.0ms	y

Results

Error	Segments	Branch
26.4b	7	`x`
25.9b	3	`y`
30.3b	4	`z`
24.5b	5	`t`
20.7b	5	`(/.f64 x y)`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.855936628836509e+131	8.982689553817008e+143
0.0ms	2.765015502384225e+66	2.1703498517394794e+69
0.0ms	2.2536715513728603e-77	9.465777564826486e-74
0.0ms	-2444.2307535118957	-1.0805961112897567e-5

Compiler

Compiled 20 to 14 computations (30% saved)

regimes137.0ms (1.3%)

Accuracy

Total -38.0b remaining (-155.1%)

Threshold costs -38.0b (-155.1%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	x
32.0ms	z
30.0ms	t
26.0ms	y

Results

Error	Segments	Branch
26.8b	7	`x`
25.9b	3	`y`
30.3b	4	`z`
24.5b	5	`t`

Compiler

Compiled 36 to 25 computations (30.6% saved)

bsearch134.0ms (1.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
90.0ms	3.0934734226715345e-71	7.253998196651855e-64
30.0ms	2.017873959224742e-106	1.0226121030019629e-100
11.0ms	1.2617058333793623e-173	1.89681489326486e-173
3.0ms	-1.0829542641847558e-83	-9.91911316358855e-84

Results

125.0ms	368×	body	256	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 388 to 290 computations (25.3% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	847

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 y -2000000000000000084841274748035923968) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 1999999999999999842563759791331565483871006498118367703619996448246128296859795456) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y)) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 y -1199999999999999992336352414793728) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 4999999999999999817033982815443287105513571612636783896840181921713543250771443712) (+.f64 (/.f64 (.f64 (-.f64 z t) x) y) t) (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t -786779259729605/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t -3687137567560421/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) (+.f64 (.f64 (/.f64 (-.f64 z t) y) x) t) (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(if (<=.f64 z -7032675134151867/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 7492196520758381/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 t (/.f64 (.f64 t x) y)) (+.f64 (/.f64 (*.f64 z x) y) t)))
(if (<=.f64 z -4910085911844213/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 8584808513368979/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (/.f64 (*.f64 z x) y) t)))
(if (<=.f64 z -8439210160982241/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 4495317912455029/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 (/.f64 z y) x) t)))
(if (<=.f64 t -6814113040271315/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 t (-.f64 1 (/.f64 x y))) (if (<=.f64 t 7797139727381681/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (/.f64 (.f64 z x) y) (if (<=.f64 t 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 t (-.f64 1 (/.f64 x y))) (if (<=.f64 t 8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (/.f64 (.f64 z x) y) (*.f64 t (-.f64 1 (/.f64 x y)))))))
(if (<=.f64 (/.f64 x y) -2000) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 1303703024854071/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) t (if (<=.f64 (/.f64 x y) 4999999999999999913683878919592799158619891437790466139288573575168) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168) (.f64 t (neg.f64 (/.f64 x y))) (/.f64 (.f64 z x) y)))))
(if (<=.f64 t -2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) t (if (<=.f64 t 1287920401397867/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216) (/.f64 (.f64 z x) y) (if (<=.f64 t 1497704929290407/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) t (if (<=.f64 t 3419097250317283/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (.f64 z x) y) t))))
t

Outputs
(if (<=.f64 y -2000000000000000084841274748035923968) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 1999999999999999842563759791331565483871006498118367703619996448246128296859795456) (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 t x) y)) (/.f64 (.f64 z x) y)) t) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 y -1199999999999999992336352414793728) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 y 4999999999999999817033982815443287105513571612636783896840181921713543250771443712) (+.f64 (/.f64 (.f64 (-.f64 z t) x) y) t) (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)))
(if (<=.f64 t -786779259729605/40347654345107946713373737062547060536401653012956617387979052445947619094013143666088208645002153616185987062074179584) (+.f64 (.f64 (/.f64 x y) (-.f64 z t)) t) (if (<=.f64 t -3687137567560421/141812983367708498267942666831007057202459354558886953263833223277658525196114003519551116418471942004184601191539094262166460537485590525416453416929473364427849849743600833315151825889043592154525680139765876503569388266265666970077237981829515274335102568192877188951851401216) (+.f64 (.f64 (/.f64 (-.f64 z t) y) x) t) (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)))
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
(if (<=.f64 z -7032675134151867/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 7492196520758381/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544) (-.f64 t (/.f64 (.f64 t x) y)) (+.f64 (/.f64 (*.f64 z x) y) t)))
(if (<=.f64 z -4910085911844213/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 8584808513368979/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (/.f64 (*.f64 z x) y) t)))
(if (<=.f64 z -8439210160982241/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (+.f64 (.f64 (/.f64 z y) x) t) (if (<=.f64 z 4495317912455029/24973988402527937851052777838345330445988785141319769206873255677002973910558124960962448824507935769278615448971252983163583805434306282450321408) (.f64 t (-.f64 1 (/.f64 x y))) (+.f64 (*.f64 (/.f64 z y) x) t)))
(if (<=.f64 t -6814113040271315/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (.f64 t (-.f64 1 (/.f64 x y))) (if (<=.f64 t 7797139727381681/556938551955834377275533643273961343370755433013740225900780336657626363184653001282460059975265063449541297555370411048668054775558525146271076821255153099151854818647493280039413353545728) (/.f64 (.f64 z x) y) (if (<=.f64 t 8668441363206785/315216049571155833698232320801148910440637914163723573343586347233965774171977684891314130039079325126453023922454528) (.f64 t (-.f64 1 (/.f64 x y))) (if (<=.f64 t 8677447333428697/133499189745056880149688856635597007162669032647290798121690100488888732861290034376435130433536) (/.f64 (.f64 z x) y) (*.f64 t (-.f64 1 (/.f64 x y)))))))
(if (<=.f64 (/.f64 x y) -2000) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 1303703024854071/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016) t (if (<=.f64 (/.f64 x y) 4999999999999999913683878919592799158619891437790466139288573575168) (/.f64 (.f64 z x) y) (if (<=.f64 (/.f64 x y) 199999999999999982405111001914463627825705729939051460364922737117355163153802565541919878198424069508213948681199740222346696327168) (.f64 t (neg.f64 (/.f64 x y))) (/.f64 (.f64 z x) y)))))
(if (<=.f64 t -2734063405978765/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728) t (if (<=.f64 t 1287920401397867/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216) (/.f64 (.f64 z x) y) (if (<=.f64 t 1497704929290407/5164499756173817179311838344006023748659411585658447025661318713081295244033682389259290706560275662871806343945494986752) t (if (<=.f64 t 3419097250317283/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352) (/.f64 (.f64 z x) y) t))))
t

Compiler

Compiled 373 to 190 computations (49.1% saved)

soundness572.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-79`
1236×	`rational.json-simplify-49`
976×	`rational.json-simplify-76`
954×	`rational.json-simplify-111`
912×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	1332
1	43	1290
2	92	1290
3	246	1290
4	987	1290
5	2190	1290
6	5385	1290
7	7088	1290

Stop Event

1×	node limit

Compiler

Compiled 63 to 23 computations (63.5% saved)

end400.0ms (3.8%)

Compiler: Compiled 333 to 115 computations (65.5% saved)