Details

analyze790.0ms (16.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
14.8%	12.5%	71.8%	0.1%	15.6%	0%	0%	8
22.6%	18.7%	64%	0.1%	17.2%	0%	0%	9
32.7%	25%	51.5%	0.1%	23.4%	0%	0%	10
41%	31.2%	44.9%	0.1%	23.8%	0%	0%	11
49.5%	37.1%	37.8%	0.1%	25%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (51.9%)

Results

1.7s	8256×	body	256	valid
743.0ms	1185×	body	256	infinite

Bogosity

preprocess104.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

1158×	`rational.json-simplify-51`
1086×	`rational.json-simplify-19`
972×	`rational.json-simplify-46`
898×	`rational.json-simplify-54`
874×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	31	100
2	53	100
3	115	100
4	558	100
5	3939	100
6	6485	100
0	3	3
1	3	3

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 y y) (.f64 (*.f64 x 4) z))
(-.f64 (.f64 z z) (.f64 (*.f64 y 4) x))
(-.f64 (.f64 x x) (.f64 (*.f64 z 4) y))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
(-.f64 (.f64 y y) (.f64 (*.f64 x 4) z))
(-.f64 (.f64 y y) (.f64 z (*.f64 x 4)))
(-.f64 (.f64 y y) (.f64 x (*.f64 4 z)))
(-.f64 (.f64 y y) (.f64 4 (*.f64 x z)))
(-.f64 (.f64 z z) (.f64 (*.f64 y 4) x))
(-.f64 (.f64 z z) (.f64 x (*.f64 y 4)))
(-.f64 (.f64 z z) (.f64 4 (*.f64 y x)))
(-.f64 (.f64 z z) (.f64 4 (*.f64 x y)))
(-.f64 (.f64 x x) (.f64 (*.f64 z 4) y))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))

Symmetry

(sort y z)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify139.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1350×	`rational.json-simplify-53`
996×	`rational.json-simplify-39`
864×	`rational.json-simplify-59`
638×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	14	25
2	22	25
3	44	25
4	193	25
5	1988	25
6	5955	25
7	7844	25

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))

eval0.0ms (0%)

Compiler: Compiled 21 to 12 computations (42.9% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.0ms	x	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.0ms	y	@	inf	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.0ms	x	@	inf	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
0.0ms	z	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

rewrite321.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2046×	`rational.json-simplify-35`
1158×	`rational.json-1`
1158×	`rational.json-2`
1158×	`rational.json-4`
1158×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	66	25
2	148	25
3	367	25
4	1255	25
5	4053	25

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

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

Outputs

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

simplify267.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-45`
950×	`rational.json-simplify-51`
810×	`rational.json-simplify-1`
626×	`rational.json-simplify-59`
616×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1551
1	137	1443
2	280	1443
3	615	1443
4	1819	1443
5	4157	1443
6	5729	1443

Stop Event

1×	node limit

Counts

63 → 33

Calls

Call 1

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

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

eval8.0ms (0.2%)

Compiler: Compiled 411 to 246 computations (40.1% saved)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	32	1	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	2	34

Error

0.0b

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
▶	21.6b	(.f64 -4 (.f64 y z))

Compiler

Compiled 20 to 14 computations (30% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 y z))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 -4 (.f64 y z))
0.0ms	y	@	0	(.f64 -4 (.f64 y z))
0.0ms	z	@	0	(.f64 -4 (.f64 y z))
0.0ms	y	@	inf	(.f64 -4 (.f64 y z))
0.0ms	z	@	inf	(.f64 -4 (.f64 y z))

rewrite337.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2344×	`rational.json-simplify-35`
1436×	`rational.json-1`
1436×	`rational.json-2`
1436×	`rational.json-3`
1244×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	48	13
2	114	13
3	239	13
4	433	13
5	983	13
6	2180	13
7	3735	13
8	4638	13
9	5589	13
10	6406	13
11	6433	13
12	6477	13
13	6561	13
14	6597	13
15	7600	13

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -4 (.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -4 (.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 z -2)) (.f64 y (.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (.f64 (.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (.f64 (.f64 y z) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -4 (.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 y z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (.f64 (.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (.f64 (.f64 y z) 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (.f64 (.f64 y z) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -4 (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 z -16)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y z) 8) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (.f64 z -8)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y z) 8)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -4 (.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 y z) 4))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -4 (*.f64 y z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 (*.f64 (*.f64 y z) 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 z -2)) (*.f64 y (*.f64 z -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (*.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 (*.f64 y z) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 (*.f64 (*.f64 y z) 4) -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -4 (*.f64 y z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (*.f64 y z) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 (*.f64 y z) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (*.f64 (*.f64 y z) 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 (*.f64 y z) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -4 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 z -16)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y z) 8) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (*.f64 z -8)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y z) 8)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 y (*.f64 z -8)) 4))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -4 (*.f64 y z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 y z) 4))))))

simplify167.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2448×	`rational.json-simplify-2`
1416×	`rational.json-simplify-35`
1308×	`rational.json-simplify-1`
1018×	`exponential.json-simplify-26`
942×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	411
1	175	411
2	349	411
3	905	411
4	3037	411
5	4675	411
6	5838	411
7	6088	411
8	6267	411
9	6522	411

Stop Event

1×	node limit

Counts

27 → 30

Calls

Call 1

Inputs
(+.f64 (.f64 -4 (.f64 y z)) 0)
(+.f64 0 (.f64 -4 (.f64 y z)))
(+.f64 -2 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)))
(+.f64 (.f64 y (.f64 z -2)) (.f64 y (.f64 z -2)))
(+.f64 -1 (-.f64 1 (.f64 (.f64 y z) 4)))
(+.f64 (-.f64 1 (.f64 (.f64 y z) 4)) -1)
(+.f64 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)) -2)
(-.f64 (.f64 -4 (.f64 y z)) 0)
(-.f64 0 (.f64 (.f64 y z) 4))
(-.f64 1 (+.f64 1 (.f64 (.f64 y z) 4)))
(-.f64 -1 (+.f64 (.f64 (.f64 y z) 4) -1))
(-.f64 (-.f64 1 (.f64 (.f64 y z) 4)) 1)
(/.f64 (.f64 -4 (.f64 y z)) 1)
(/.f64 (.f64 y (.f64 z -8)) 2)
(/.f64 (.f64 (.f64 y z) 4) -1)
(/.f64 (.f64 y (.f64 z -16)) 4)
(/.f64 (.f64 (.f64 y z) 8) -2)
(/.f64 (.f64 (.f64 y (*.f64 z -8)) 4) 8)
(/.f64 (.f64 2 (.f64 (*.f64 y z) 8)) -4)
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 z -8)) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 z -8)) 4))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4))))))) 512)
(pow.f64 (.f64 -4 (.f64 y z)) 1)
(neg.f64 (.f64 (.f64 y z) 4))

Outputs
(+.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(+.f64 0 (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 -2 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)))
(+.f64 -2 (-.f64 1 (+.f64 (.f64 y (.f64 z 4)) -1)))
(+.f64 (.f64 y (.f64 z -2)) (.f64 y (.f64 z -2)))
(.f64 -4 (.f64 y z))
(+.f64 -1 (-.f64 1 (.f64 (.f64 y z) 4)))
(.f64 -4 (.f64 y z))
(+.f64 (-.f64 1 (.f64 (.f64 y z) 4)) -1)
(.f64 -4 (.f64 y z))
(+.f64 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)) -2)
(+.f64 -2 (-.f64 1 (+.f64 (.f64 (.f64 y z) 4) -1)))
(+.f64 -2 (-.f64 1 (+.f64 (.f64 y (.f64 z 4)) -1)))
(-.f64 (.f64 -4 (.f64 y z)) 0)
(.f64 -4 (.f64 y z))
(-.f64 0 (.f64 (.f64 y z) 4))
(.f64 -4 (.f64 y z))
(-.f64 1 (+.f64 1 (.f64 (.f64 y z) 4)))
(-.f64 1 (+.f64 1 (.f64 y (.f64 z 4))))
(-.f64 -1 (+.f64 (.f64 (.f64 y z) 4) -1))
(-.f64 1 (+.f64 1 (.f64 (.f64 y z) 4)))
(-.f64 1 (+.f64 1 (.f64 y (.f64 z 4))))
(-.f64 (-.f64 1 (.f64 (.f64 y z) 4)) 1)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 -4 (.f64 y z)) 1)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 y (.f64 z -8)) 2)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 (.f64 y z) 4) -1)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 y (.f64 z -16)) 4)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 (.f64 y z) 8) -2)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 (.f64 y (*.f64 z -8)) 4) 8)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 (*.f64 y z) 8)) -4)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)) 16)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 z -8)) 4))) 32)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))) 64)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (*.f64 z -8)) 4))))) 128)
(.f64 -4 (.f64 y z))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) 256)
(.f64 -4 (.f64 y z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (.f64 z -8)) 4))))))) 512)
(.f64 -4 (.f64 y z))
(pow.f64 (.f64 -4 (.f64 y z)) 1)
(.f64 -4 (.f64 y z))
(neg.f64 (.f64 (.f64 y z) 4))
(.f64 -4 (.f64 y z))

eval7.0ms (0.1%)

Compiler: Compiled 312 to 231 computations (26% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	3	32

Error

0.0b

Counts

32 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.5b	(/.f64 (.f64 y (.f64 z -8)) 2)
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	21.6b	(.f64 -4 (.f64 y z))

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize8.0ms (0.2%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.5b	(/.f64 (.f64 y (.f64 z -8)) 2)
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	21.6b	(.f64 -4 (.f64 y z))

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes28.0ms (0.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(/.f64 (.f64 y (.f64 z -8)) 2)
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Calls

7 calls:

5.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
5.0ms	(*.f64 y 4)
4.0ms	x
3.0ms	y
3.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(*.f64 y 4)`

Compiler

Compiled 68 to 48 computations (29.4% saved)

regimes10.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(/.f64 (.f64 y (.f64 z -8)) 2)

Outputs
(/.f64 (.f64 y (.f64 z -8)) 2)

Calls

3 calls:

3.0ms	z
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
21.5b	1	`x`
21.5b	1	`y`
21.5b	1	`z`

Compiler

Compiled 27 to 20 computations (25.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(/.f64 (.f64 y (.f64 z -8)) 2)
(.f64 -4 (.f64 y z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(/.f64 (.f64 y (.f64 z -8)) 2)
(.f64 -4 (.f64 y z))

Compiler

Compiled 30 to 22 computations (26.7% saved)

soundness0.0ms (0%)

end22.0ms (0.5%)

Remove: (sort y z)
Compiler: Compiled 48 to 32 computations (33.3% saved)

Details

analyze790.0ms (16.9%)

sample2.4s (51.9%)

preprocess104.0ms (2.2%)

simplify139.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite321.0ms (6.9%)

simplify267.0ms (5.7%)

eval8.0ms (0.2%)

prune5.0ms (0.1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite337.0ms (7.2%)

simplify167.0ms (3.6%)

eval7.0ms (0.1%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes28.0ms (0.6%)

regimes10.0ms (0.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (0.5%)

Profiling