Details

analyze48.0ms (2.3%)

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
25%	25%	74.9%	0.1%	0%	0%	0%	5
28.6%	25%	62.4%	0.1%	12.5%	0%	0%	6
33.3%	25%	50%	0.1%	25%	0%	0%	7
45.5%	31.2%	37.5%	0.1%	31.2%	0%	0%	8
61.7%	39%	24.2%	0.1%	36.7%	0%	0%	9
70.1%	42.9%	18.3%	0.1%	38.6%	0%	0%	10
79.9%	47.2%	11.9%	0.1%	40.8%	0%	0%	11
84.5%	49.4%	9.1%	0.1%	41.5%	0%	0%	12

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.5s (69.8%)

Results

1.4s	8256×	body	256	valid
27.0ms	355×	body	256	infinite

Bogosity

preprocess123.0ms (5.8%)

Algorithm

2×	egg-herbie

Rules

1086×	`rational.json-simplify-2`
902×	`rational.json-simplify-44`
858×	`rational.json-simplify-39`
810×	`rational.json-simplify-47`
714×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	38
1	17	38
2	28	38
3	82	38
4	388	38
5	3939	38
6	6307	38
7	7539	38
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 b b) (.f64 a a))

Outputs
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 b b) (.f64 a a))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify114.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1086×	`rational.json-simplify-2`
926×	`rational.json-simplify-44`
894×	`rational.json-simplify-37`
826×	`rational.json-simplify-47`
810×	`rational.json-simplify-39`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	13	19
2	23	19
3	68	19
4	373	19
5	3929	19
6	6257	19
7	7414	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(-.f64 (.f64 a a) (.f64 b b))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(-.f64 (.f64 a a) (.f64 b b))
0.0ms	b	@	0	(-.f64 (.f64 a a) (.f64 b b))
0.0ms	a	@	inf	(-.f64 (.f64 a a) (.f64 b b))
0.0ms	b	@	inf	(-.f64 (.f64 a a) (.f64 b b))
0.0ms	b	@	-inf	(-.f64 (.f64 a a) (.f64 b b))

rewrite81.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2074×	`rational.json-1`
2074×	`rational.json-2`
2074×	`rational.json-3`
1262×	`rational.json-simplify-35`
870×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	50	19
2	142	19
3	417	19
4	2022	19
5	6686	19

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

Inputs
(-.f64 (.f64 a a) (.f64 b b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (neg.f64 b)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 1 (.f64 b b)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a b) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 b b) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b (fabs.f64 a)) (-.f64 (fabs.f64 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 a) b) (+.f64 b (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a (fabs.f64 b)) (+.f64 a (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 b) (fabs.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 a) (fabs.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 a b) 2) (/.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 a b) 2) (/.f64 (-.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 b b) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 a b) 2) (.f64 (-.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 a b) 2) (.f64 (+.f64 a b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 a b) (.f64 2 (-.f64 b a))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4))) (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 b b) (.f64 a a)))))))

Outputs

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

simplify72.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

974×	`rational.json-simplify-41`
888×	`rational.json-simplify-19`
876×	`rational.json-simplify-40`
778×	`rational.json-simplify-2`
760×	`rational.json-simplify-38`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	87	1338
1	169	1296
2	355	1296
3	1156	1296
4	6037	1152

Stop Event

1×	node limit

Counts

60 → 42

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(+.f64 0 (-.f64 (.f64 a a) (.f64 b b)))
(+.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(+.f64 -1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 b b)) (.f64 a a)))
(+.f64 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)) -1)
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1)
(.f64 1 (-.f64 (.f64 a a) (*.f64 b b)))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 2 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2))
(.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) -1)
(*.f64 (+.f64 b (fabs.f64 a)) (-.f64 (fabs.f64 a) b))
(*.f64 (-.f64 (fabs.f64 a) b) (+.f64 b (fabs.f64 a)))
(*.f64 (-.f64 a (fabs.f64 b)) (+.f64 a (fabs.f64 b)))
(*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 b) (fabs.f64 a)))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(*.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(.f64 (.f64 (-.f64 a b) 2) (/.f64 (+.f64 a b) 2))
(.f64 (.f64 (+.f64 a b) 2) (/.f64 (-.f64 a b) 2))
(.f64 -1 (-.f64 (.f64 b b) (*.f64 a a)))
(.f64 1/2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2) 2)
(.f64 (/.f64 (+.f64 a b) 2) (.f64 (-.f64 a b) 2))
(.f64 (/.f64 (-.f64 a b) 2) (.f64 (+.f64 a b) 2))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2) 2)
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)) 4)
(/.f64 (.f64 2 (.f64 (+.f64 a b) (*.f64 (-.f64 a b) 4))) 8)
(/.f64 (.f64 (+.f64 a b) (.f64 2 (-.f64 b a))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4))) (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)))) 16)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 0 (-.f64 (.f64 a a) (.f64 b b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 -1 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 -1 (+.f64 (-.f64 1 (.f64 b b)) (.f64 a a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(+.f64 (-.f64 (.f64 a a) (-.f64 (.f64 b b) 1)) -1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 1 (-.f64 (.f64 a a) (*.f64 b b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 a b) (-.f64 a b))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 a b))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 2 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (-.f64 (.f64 b b) (*.f64 a a)) -1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 b (fabs.f64 a)) (-.f64 (fabs.f64 a) b))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 (fabs.f64 a) b) (+.f64 b (fabs.f64 a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 a (fabs.f64 b)) (+.f64 a (fabs.f64 b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (-.f64 (fabs.f64 a) (fabs.f64 b)) (+.f64 (fabs.f64 b) (fabs.f64 a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 a (fabs.f64 b)) (-.f64 a (fabs.f64 b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(*.f64 (+.f64 (fabs.f64 b) (fabs.f64 a)) (-.f64 (fabs.f64 a) (fabs.f64 b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (.f64 (-.f64 a b) 2) (/.f64 (+.f64 a b) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (.f64 (+.f64 a b) 2) (/.f64 (-.f64 a b) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 -1 (-.f64 (.f64 b b) (*.f64 a a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 1/2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (/.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2) 2)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (/.f64 (+.f64 a b) 2) (.f64 (-.f64 a b) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(.f64 (/.f64 (-.f64 a b) 2) (.f64 (+.f64 a b) 2))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) 2) 2)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)) 4)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (.f64 2 (.f64 (+.f64 a b) (*.f64 (-.f64 a b) 4))) 8)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (.f64 (+.f64 a b) (.f64 2 (-.f64 b a))) -2)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4))) (.f64 2 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 4)))) 16)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(*.f64 (+.f64 b a) (-.f64 a b))

eval9.0ms (0.4%)

Compiler: Compiled 407 to 157 computations (61.4% saved)

prune6.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Error

Counts

43 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
▶	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	inf	(*.f64 (-.f64 a b) (+.f64 a b))
0.0ms	a	@	-inf	(*.f64 (-.f64 a b) (+.f64 a b))
0.0ms	a	@	inf	(*.f64 (-.f64 a b) (+.f64 a b))
0.0ms	a	@	0	(*.f64 (-.f64 a b) (+.f64 a b))
0.0ms	b	@	0	(*.f64 (-.f64 a b) (+.f64 a b))

rewrite69.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1678×	`exponential.json-3`
1678×	`rational.json-1`
1678×	`rational.json-2`
1678×	`rational.json-4`
1678×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	46	19
2	107	19
3	244	19
4	476	19
5	1258	19
6	4654	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 a b))

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

Outputs

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

simplify56.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational.json-simplify-40`
1188×	`rational.json-simplify-46`
1110×	`rational.json-simplify-49`
1094×	`rational.json-simplify-35`
1012×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1220
1	152	1136
2	278	1136
3	788	1130
4	3538	1130

Stop Event

1×	node limit

Counts

42 → 48

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 a (*.f64 -1 a)) b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(+.f64 0 (-.f64 (.f64 a a) (.f64 b b)))
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 -1 (-.f64 1 (-.f64 (.f64 b b) (.f64 a a))))
(+.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 1/2)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) 1/2)))
(+.f64 (neg.f64 (.f64 b b)) (.f64 a a))
(-.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(-.f64 0 (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 2)) 2)
(/.f64 (.f64 (-.f64 a b) (.f64 (+.f64 a b) 4)) 4)
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) 8) 8)
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8)) (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8))) 32)
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 b (*.f64 -1 b)) a))
(+.f64 (neg.f64 (pow.f64 b 2)) (*.f64 (+.f64 b (neg.f64 b)) a))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(+.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (pow.f64 a 2))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (pow.f64 a 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 b (.f64 -1 b)) a))
(+.f64 (.f64 (+.f64 b (.f64 -1 b)) a) (pow.f64 a 2))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (pow.f64 a 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 b (*.f64 -1 b)) a)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 (+.f64 b (*.f64 -1 b)) a) (pow.f64 a 2)))
(+.f64 (*.f64 (+.f64 b (neg.f64 b)) a) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 2) (.f64 (+.f64 a (.f64 -1 a)) b))
(+.f64 (pow.f64 a 2) (.f64 b (+.f64 a (.f64 -1 a))))
(+.f64 (pow.f64 a 2) (*.f64 b (+.f64 a (neg.f64 a))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 b (+.f64 a (*.f64 -1 a)))))
(+.f64 (*.f64 b (+.f64 a (neg.f64 a))) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (neg.f64 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 b (+.f64 a (neg.f64 a)))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 b (+.f64 a (*.f64 -1 a)))))
(+.f64 (*.f64 b (+.f64 a (neg.f64 a))) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (neg.f64 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 b (+.f64 a (neg.f64 a)))))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 (+.f64 a (*.f64 -1 a)) b))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 b (+.f64 a (*.f64 -1 a))))
(+.f64 (neg.f64 (pow.f64 b 2)) (*.f64 b (+.f64 a (neg.f64 a))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 b (+.f64 a (*.f64 -1 a)))))
(+.f64 (*.f64 b (+.f64 a (neg.f64 a))) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (neg.f64 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 b (+.f64 a (neg.f64 a)))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 (+.f64 a (*.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 b (+.f64 a (*.f64 -1 a)))))
(+.f64 (*.f64 b (+.f64 a (neg.f64 a))) (+.f64 (neg.f64 (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (neg.f64 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 b (+.f64 a (neg.f64 a)))))
(*.f64 -1 (pow.f64 b 2))
(neg.f64 (pow.f64 b 2))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (.f64 -1 (.f64 b (+.f64 a (.f64 -1 a)))))
(.f64 -1 (+.f64 (pow.f64 b 2) (.f64 b (+.f64 a (neg.f64 a)))))
(neg.f64 (+.f64 (pow.f64 b 2) (*.f64 b (+.f64 a (neg.f64 a)))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 -1 (.f64 b (+.f64 a (.f64 -1 a))))))
(+.f64 (pow.f64 a 2) (.f64 -1 (+.f64 (pow.f64 b 2) (.f64 b (+.f64 a (neg.f64 a))))))
(+.f64 (pow.f64 a 2) (neg.f64 (+.f64 (pow.f64 b 2) (*.f64 b (+.f64 a (neg.f64 a))))))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (.f64 -1 (.f64 (+.f64 a (.f64 -1 a)) b)) (pow.f64 a 2)))
(+.f64 (.f64 -1 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (.f64 -1 (.f64 b (+.f64 a (.f64 -1 a))))))
(+.f64 (pow.f64 a 2) (.f64 -1 (+.f64 (pow.f64 b 2) (.f64 b (+.f64 a (neg.f64 a))))))
(+.f64 (pow.f64 a 2) (neg.f64 (+.f64 (pow.f64 b 2) (*.f64 b (+.f64 a (neg.f64 a))))))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 0 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(+.f64 -1 (-.f64 1 (-.f64 (.f64 b b) (.f64 a a))))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 1/2)) (.f64 (+.f64 a b) (.f64 (-.f64 a b) 1/2)))
(-.f64 (.f64 a a) (.f64 b b))
(+.f64 (neg.f64 (.f64 b b)) (.f64 a a))
(+.f64 (.f64 a a) (neg.f64 (.f64 b b)))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(-.f64 (-.f64 (.f64 a a) (.f64 b b)) 0)
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 0 (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (.f64 a a) (.f64 b b))
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (.f64 (+.f64 a b) (.f64 (-.f64 a b) 2)) 2)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (.f64 (-.f64 a b) (.f64 (+.f64 a b) 4)) 4)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (.f64 (-.f64 (.f64 a a) (*.f64 b b)) 8) 8)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (-.f64 (.f64 b b) (.f64 a a)) -1)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8)) 16)
(-.f64 (.f64 a a) (.f64 b b))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8)) (.f64 2 (.f64 (-.f64 (.f64 a a) (.f64 b b)) 8))) 32)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(-.f64 (.f64 a a) (.f64 b b))
(neg.f64 (-.f64 (.f64 b b) (.f64 a a)))
(-.f64 (.f64 a a) (.f64 b b))

eval10.0ms (0.5%)

Compiler: Compiled 577 to 297 computations (48.5% saved)

prune6.0ms (0.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	48	2	50

Error

Counts

50 → 2

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 18 to 10 computations (44.4% saved)

regimes14.0ms (0.6%)

Accuracy

Total -0.0b remaining (-100%)

Threshold costs -0.0b (-100%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 a b))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))

Calls

5 calls:

4.0ms	(-.f64 (.f64 a a) (.f64 b b))
3.0ms	b
2.0ms	a
2.0ms	(*.f64 b b)
2.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(-.f64 (.f64 a a) (.f64 b b))`
0.0b	1	`(*.f64 a a)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 41 to 23 computations (43.9% saved)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (-.f64 a b) (+.f64 a b))

Outputs
(*.f64 (-.f64 a b) (+.f64 a b))

Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end12.0ms (0.6%)

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

Details

analyze48.0ms (2.3%)

sample1.5s (69.8%)

preprocess123.0ms (5.8%)

simplify114.0ms (5.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite81.0ms (3.9%)

simplify72.0ms (3.4%)

eval9.0ms (0.4%)

prune6.0ms (0.3%)

localize6.0ms (0.3%)

series3.0ms (0.1%)

rewrite69.0ms (3.3%)

simplify56.0ms (2.7%)

eval10.0ms (0.5%)

prune6.0ms (0.3%)

regimes14.0ms (0.6%)

simplify1.0ms (0.1%)

soundness0.0ms (0%)

end12.0ms (0.6%)

Profiling