Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample1.1s (61.5%)

Results

1.1s	8256×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess79.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1218×	`rational_best-simplify-61`
950×	`rational_best-simplify-3`
650×	`rational_best-simplify-53`
600×	`rational_best-simplify-56`
600×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	133	13
3	831	13
4	5049	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify85.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational_best-simplify-61`
950×	`rational_best-simplify-3`
650×	`rational_best-simplify-53`
600×	`rational_best-simplify-56`
600×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	133	13
3	831	13
4	5049	13

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

Outputs
(*.f64 x (-.f64 x 1))
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	3	4

Error

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (*.f64 x x) x)
▶	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 12 to 7 computations (41.7% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational_best-simplify-61`
950×	`rational_best-simplify-3`
648×	`rational_best-simplify-53`
600×	`rational_best-simplify-56`
594×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	133	13
3	831	13
4	5051	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (3%)

Algorithm

1×	egg-herbie

Rules

766×	`rational_best-simplify-113`
688×	`rational_best-simplify-111`
590×	`rational_best-simplify-124`
586×	`rational_best-simplify-96`
568×	`rational_best-simplify-117`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	72	474
1	325	434
2	1934	434

Stop Event

1×	node limit

Counts

34 → 31

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 0 (-.f64 (*.f64 x x) x))
(+.f64 (-.f64 (*.f64 x x) x) 0)
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 0 (-.f64 x (*.f64 x x)))
(-.f64 (-.f64 (*.f64 x x) x) 0)
(-.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (-.f64 x (*.f64 x x)) -1)
(/.f64 (*.f64 (+.f64 x (+.f64 x -2)) (neg.f64 x)) -2)
(/.f64 (-.f64 (-.f64 (.f64 x x) x) (.f64 x (.f64 (+.f64 x -1) (-.f64 (.f64 x x) x)))) (+.f64 1 (-.f64 x (*.f64 x x))))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(neg.f64 (-.f64 x (*.f64 x x)))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(if (!=.f64 (+.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(if (!=.f64 (.f64 x x) 0) (/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) x))) (.f64 x x)) (-.f64 (.f64 x x) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 x (.f64 x x)))) 0) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x (-.f64 -1 x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(if (!=.f64 (-.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (.f64 (+.f64 x -1) (-.f64 (.f64 x x) x))) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x))
(if (!=.f64 (.f64 x (neg.f64 x)) 0) (/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) x))) (.f64 x x)) (-.f64 (.f64 x x) x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(+.f64 0 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) 0)
(-.f64 (*.f64 x x) x)
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 (*.f64 x x) x)
(-.f64 0 (-.f64 x (*.f64 x x)))
(-.f64 (*.f64 x x) x)
(-.f64 (-.f64 (*.f64 x x) x) 0)
(-.f64 (*.f64 x x) x)
(-.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 x (*.f64 x x)) -1)
(-.f64 (*.f64 x x) x)
(/.f64 (*.f64 (+.f64 x (+.f64 x -2)) (neg.f64 x)) -2)
(/.f64 (*.f64 x (neg.f64 (+.f64 x (+.f64 x -2)))) -2)
(/.f64 (*.f64 x (+.f64 x (+.f64 x -2))) 2)
(/.f64 (*.f64 x (-.f64 2 (+.f64 x x))) -2)
(/.f64 (-.f64 (-.f64 (.f64 x x) x) (.f64 x (.f64 (+.f64 x -1) (-.f64 (.f64 x x) x)))) (+.f64 1 (-.f64 x (*.f64 x x))))
(-.f64 (*.f64 x x) x)
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(neg.f64 (-.f64 x (*.f64 x x)))
(-.f64 (*.f64 x x) x)
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (+.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x x) 0) (/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) x))) (.f64 x x)) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 0 (-.f64 x (.f64 x x)))) 0) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x (-.f64 -1 x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (-.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (.f64 (+.f64 x -1) (-.f64 (.f64 x x) x))) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x (neg.f64 x)) 0) (/.f64 (.f64 x (.f64 x (-.f64 (.f64 x x) x))) (.f64 x x)) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite124.0ms (6.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1106×	`rational_best-simplify-53`
896×	`rational_best-simplify-52`
800×	`rational_best-simplify-1`
534×	`rational_best-simplify-18`
532×	`rational_best-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	30	13
2	138	13
3	881	13
4	5870	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (-.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (+.f64 (-.f64 x (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (+.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) (.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))) (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)) (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x x) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x (neg.f64 x)) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (.f64 x x)) 0) (/.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 x (-.f64 -1 x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (-.f64 -1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x)))) (+.f64 (-.f64 x (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x)))) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x))))) (+.f64 (+.f64 (-.f64 x (*.f64 x x)) 1) (+.f64 (-.f64 x (*.f64 x x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))) (*.f64 (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))) (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (-.f64 x (*.f64 x x)) 1) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x))))) (*.f64 (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x)))) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x)))))) (-.f64 (*.f64 (+.f64 (-.f64 x (*.f64 x x)) 1) (+.f64 (-.f64 x (*.f64 x x)) 1)) (*.f64 (+.f64 (-.f64 x (*.f64 x x)) 1) (*.f64 (-.f64 x (*.f64 x x)) (-.f64 -1 (-.f64 x (*.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 x x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (-.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (*.f64 x x)) 0) (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) x) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x x) 0) (*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) x) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (neg.f64 x)) 0) (*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 x (*.f64 x x)) 0) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 x (-.f64 -1 x)) 0) (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x))))))

simplify100.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best-simplify-111`
850×	`rational_best-simplify-96`
762×	`rational_best-simplify-61`
750×	`rational_best-simplify-65`
562×	`rational_best-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	98	684
1	451	648
2	2535	648

Stop Event

1×	node limit

Counts

44 → 41

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (-.f64 (*.f64 x x) x) 0)
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 0 (-.f64 (*.f64 x x) x))
(*.f64 x (+.f64 x -1))
(*.f64 x (-.f64 -1 (neg.f64 x)))
(.f64 (-.f64 (.f64 x x) x) 1)
(.f64 (-.f64 x (.f64 x x)) -1)
(.f64 -1 (-.f64 x (.f64 x x)))
(.f64 1 (-.f64 (.f64 x x) x))
(*.f64 (+.f64 (neg.f64 x) 1) (neg.f64 x))
(/.f64 (-.f64 (*.f64 x x) x) 1)
(/.f64 (-.f64 x (*.f64 x x)) -1)
(/.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) -2)
(/.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (+.f64 (-.f64 x (.f64 x x)) 1))
(/.f64 (+.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) 2)
(/.f64 (+.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) -4)
(/.f64 (+.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (+.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) (.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))) (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)) (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))))
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(neg.f64 (-.f64 x (*.f64 x x)))
(neg.f64 (*.f64 (-.f64 1 x) x))
(if (!=.f64 (+.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x x) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x (neg.f64 x)) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))
(if (!=.f64 (-.f64 x (.f64 x x)) 0) (/.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x (-.f64 -1 x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(if (!=.f64 -1 0) (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 -1 x) (pow.f64 x 2))
(+.f64 (pow.f64 x 2) (neg.f64 x))
(-.f64 (pow.f64 x 2) x)
(+.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(+.f64 (-.f64 (*.f64 x x) x) 0)
(-.f64 (*.f64 x x) x)
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(+.f64 0 (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x (+.f64 x -1))
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 -1 (neg.f64 x)))
(-.f64 (*.f64 x x) x)
(.f64 (-.f64 (.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(.f64 (-.f64 x (.f64 x x)) -1)
(-.f64 (*.f64 x x) x)
(.f64 -1 (-.f64 x (.f64 x x)))
(-.f64 (*.f64 x x) x)
(.f64 1 (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 (+.f64 (neg.f64 x) 1) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 x (*.f64 x x)) -1)
(-.f64 (*.f64 x x) x)
(/.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) -2)
(-.f64 (*.f64 x x) x)
(/.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (+.f64 (-.f64 x (.f64 x x)) 1))
(-.f64 (*.f64 x x) x)
(/.f64 (+.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) 2)
(-.f64 (*.f64 x x) x)
(/.f64 (+.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) -4)
(-.f64 (*.f64 x x) x)
(/.f64 (+.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (+.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)))
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x)))) (.f64 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))) (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (.f64 x x))))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 x (.f64 x x)) (-.f64 x (*.f64 x x))))))
(-.f64 (*.f64 x x) x)
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x))))) (.f64 (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))) (-.f64 (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (+.f64 (-.f64 x (.f64 x x)) 1)) (.f64 (+.f64 (-.f64 x (.f64 x x)) 1) (.f64 (-.f64 x (.f64 x x)) (-.f64 -1 (-.f64 x (.f64 x x)))))))
(-.f64 (*.f64 x x) x)
(pow.f64 (-.f64 (*.f64 x x) x) 1)
(-.f64 (*.f64 x x) x)
(neg.f64 (-.f64 x (*.f64 x x)))
(-.f64 (*.f64 x x) x)
(neg.f64 (*.f64 (-.f64 1 x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (+.f64 x (.f64 x x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x x) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x x) 0) (.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x)) (-.f64 (*.f64 x x) x))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x (neg.f64 x)) 0) (.f64 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x) 1) (-.f64 (*.f64 x x) x))
(if (!=.f64 (.f64 x (neg.f64 x)) 0) (.f64 1 (/.f64 (.f64 x (-.f64 (.f64 x x) x)) x)) (-.f64 (*.f64 x x) x))
(if (!=.f64 (-.f64 x (.f64 x x)) 0) (/.f64 (.f64 (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x)) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 (.f64 x (-.f64 -1 x)) 0) (/.f64 (.f64 x (-.f64 (.f64 x (.f64 x x)) x)) (+.f64 x (.f64 x x))) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)
(if (!=.f64 -1 0) (-.f64 (.f64 x x) x) (-.f64 (.f64 x x) x))
(-.f64 (*.f64 x x) x)

eval12.0ms (0.7%)

Compiler: Compiled 990 to 280 computations (71.7% saved)

prune6.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Error

Counts

74 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
▶	20.9b	(neg.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

localize5.0ms (0.3%)

Compiler: Compiled 4 to 2 computations (50% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

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

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
✓	20.9b	(neg.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x x) x)

Calls

2 calls:

3.0ms	(*.f64 x (-.f64 x 1))
3.0ms	x

Results

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

Compiler

Compiled 21 to 12 computations (42.9% saved)

regimes10.0ms (0.5%)

Accuracy

Total -20.9b remaining (-106914.5%)

Threshold costs -20.9b (-106914.5%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	(*.f64 x (-.f64 x 1))
3.0ms	x

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (*.f64 x x) x)
(*.f64 x (-.f64 x 1))
(neg.f64 x)

Compiler

Compiled 15 to 9 computations (40% saved)

soundness85.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1218×	`rational_best-simplify-61`
950×	`rational_best-simplify-3`
650×	`rational_best-simplify-53`
600×	`rational_best-simplify-56`
600×	`rational_best-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	35	13
2	133	13
3	831	13
4	5049	13

Stop Event

1×	node limit

Compiler

Compiled 54 to 25 computations (53.7% saved)

end20.0ms (1.1%)

Compiler: Compiled 13 to 7 computations (46.2% saved)

Details

analyze3.0ms (0.1%)

sample1.1s (61.5%)

preprocess79.0ms (4.3%)

simplify85.0ms (4.6%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite103.0ms (5.6%)

simplify54.0ms (3%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite124.0ms (6.7%)

simplify100.0ms (5.4%)

eval12.0ms (0.7%)

prune6.0ms (0.4%)

localize5.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes8.0ms (0.4%)

regimes10.0ms (0.5%)

simplify2.0ms (0.1%)

soundness85.0ms (4.6%)

end20.0ms (1.1%)

Profiling