Details

analyze739.0ms (11.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.1%	0%	0%	0%	8
28.1%	28.1%	71.8%	0.1%	0%	0%	0%	9
39.7%	37.4%	56.9%	0.1%	5.5%	0%	0%	10
46.5%	43.7%	50.3%	0.1%	5.9%	0%	0%	11
55.2%	51.9%	42.1%	0.1%	5.9%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample4.2s (66.2%)

Results

3.9s	8256×	body	256	valid
366.0ms	591×	body	256	infinite

Bogosity

preprocess114.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

30×	`rational.json-simplify-2`
14×	`rational.json-simplify-43`
2×	`swap-y-z`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	24	76
2	34	76
3	41	76
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

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

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

Symmetry

(sort y z)

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`rational.json-simplify-2`
4×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19
2	15	19
3	19	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 17 to 11 computations (35.3% 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 x (.f64 (.f64 y 4) z))

Compiler

Compiled 10 to 7 computations (30% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite446.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`exponential.json-3`
1432×	`rational.json-1`
1432×	`rational.json-2`
1432×	`rational.json-4`
1432×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	58	19
2	125	19
3	276	19
4	517	19
5	1189	19
6	2669	19
7	4879	19
8	6527	19

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

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

Outputs

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

simplify265.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1924×	`rational.json-simplify-35`
1922×	`rational.json-simplify-51`
1470×	`rational.json-simplify-1`
1256×	`rational.json-simplify-2`
752×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1645
1	230	1645
2	397	1645
3	952	1645
4	2572	1645
5	3551	1645
6	3895	1645
7	4250	1645
8	4745	1645
9	5367	1645
10	7163	1645
11	7660	1645
12	7915	1645
13	7944	1645

Stop Event

1×	node limit

Counts

79 → 60

Calls

Call 1

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

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

eval12.0ms (0.2%)

Compiler: Compiled 634 to 419 computations (33.9% saved)

prune10.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

0.0b

Counts

61 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
▶	33.2b	(.f64 z (.f64 -4 y))
	30.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

localize5.0ms (0.1%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	33.2b	(.f64 z (.f64 -4 y))
	30.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune88.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	33.2b	(.f64 z (.f64 -4 y))
	30.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 x (.f64 (.f64 y 4) z))
✓	33.2b	(.f64 z (.f64 -4 y))
	30.4b	x

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes23.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

6 calls:

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

Results

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

Compiler

Compiled 52 to 37 computations (28.8% saved)

regimes346.0ms (5.4%)

Accuracy

Total -48.9b remaining (-379.7%)

Threshold costs -48.9b (-379.7%)

Counts

2 → 5

Calls

Call 1

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

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

Calls

3 calls:

317.0ms	z
14.0ms	x
13.0ms	y

Results

Error	Segments	Branch
12.9b	5	`x`
16.4b	5	`y`
18.2b	5	`z`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch55.0ms (0.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	1.1818686311306632e+110	1.5397276988904248e+123
15.0ms	-3.3640970153711654e-144	-6.0696449078507424e-152
12.0ms	-8.701998197990188e-91	-6.17262265094437e-95
13.0ms	-532253541024.73285	-1056063668.3191009

Results

49.0ms

560×

body

256

valid

Compiler

Compiled 506 to 397 computations (21.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

(if (<=.f64 x -7200000000) x (if (<=.f64 x -211368832449645/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z (*.f64 -4 y)) (if (<=.f64 x -5799381063278339/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) x (if (<=.f64 x 189999999999999994465740596813082597090746983391032016794505933914163657881813192527023814105812828717204897792) (*.f64 z (*.f64 -4 y)) x))))

Outputs

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

(if (<=.f64 x -7200000000) x (if (<=.f64 x -211368832449645/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976) (*.f64 z (*.f64 -4 y)) (if (<=.f64 x -5799381063278339/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912) x (if (<=.f64 x 189999999999999994465740596813082597090746983391032016794505933914163657881813192527023814105812828717204897792) (*.f64 z (*.f64 -4 y)) x))))

Compiler

Compiled 46 to 31 computations (32.6% saved)

soundness0.0ms (0%)

end27.0ms (0.4%)

Remove: (sort y z)
Compiler: Compiled 60 to 39 computations (35% saved)

Details

analyze739.0ms (11.6%)

sample4.2s (66.2%)

preprocess114.0ms (1.8%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite446.0ms (7%)

simplify265.0ms (4.1%)

eval12.0ms (0.2%)

prune10.0ms (0.2%)

localize5.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

eval0.0ms (0%)

prune88.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

regimes23.0ms (0.4%)

regimes346.0ms (5.4%)

bsearch55.0ms (0.9%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end27.0ms (0.4%)

Profiling