Details

analyze3.0ms (0.2%)

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
75%	75%	25%	0%	0%	0%	0%	4
87.5%	87.5%	12.5%	0%	0%	0%	0%	5
93.8%	93.7%	6.2%	0%	0%	0%	0%	6
96.9%	96.8%	3.1%	0%	0%	0%	0%	7
98.4%	98.4%	1.6%	0%	0%	0%	0%	8
99.2%	99.2%	0.8%	0%	0%	0%	0%	9
99.6%	99.6%	0.4%	0%	0%	0%	0%	10
99.8%	99.8%	0.2%	0%	0%	0%	0%	11
99.9%	99.9%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample688.0ms (53.9%)

Results

677.0ms

8256×

body

256

valid

Bogosity

preprocess78.0ms (6.1%)

Algorithm

2×	egg-herbie

Rules

1138×	`rational_best-simplify-53`
818×	`rational_best-simplify-1`
774×	`rational_best-simplify-52`
546×	`rational_best-simplify-21`
546×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	20	19
2	127	19
3	815	19
4	5734	19
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify77.0ms (6%)

Algorithm

1×	egg-herbie

Rules

1138×	`rational_best-simplify-53`
818×	`rational_best-simplify-1`
774×	`rational_best-simplify-52`
546×	`rational_best-simplify-21`
546×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	20	19
2	127	19
3	815	19
4	5734	19

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0.1%)

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

14.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`rational_best-simplify-53`
804×	`rational_best-simplify-1`
772×	`rational_best-simplify-52`
546×	`rational_best-simplify-21`
546×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	20	19
2	127	19
3	815	19
4	5735	19

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
()

simplify75.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational_best-simplify-1`
700×	`rational_best-simplify-21`
696×	`rational_best-simplify-18`
692×	`rational_best-simplify-20`
610×	`rational_best-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	372
1	150	364
2	919	348
3	6268	348

Stop Event

1×	node limit

Counts

12 → 22

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1 (pow.f64 x 3)))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 x (+.f64 (pow.f64 x 5) (.f64 -1 (pow.f64 x 7)))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (+.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 7)))))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

eval5.0ms (0.4%)

Compiler: Compiled 251 to 187 computations (25.5% saved)

prune5.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	3	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Error

0.0b

Counts

23 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	30.3b	(/.f64 1 x)
▶	32.8b	(-.f64 x (pow.f64 x 3))
	31.8b	x

Compiler

Compiled 20 to 13 computations (35% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 x (pow.f64 x 3))
0.0ms	x	@	inf	(-.f64 x (pow.f64 x 3))
0.0ms	x	@	0	(-.f64 x (pow.f64 x 3))

rewrite78.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational_best-simplify-53`
792×	`rational_best-simplify-1`
788×	`rational_best-simplify-52`
566×	`rational_best-simplify-21`
566×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	31	13
2	138	13
3	844	13
4	5920	13

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(-.f64 x (pow.f64 x 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (+.f64 (-.f64 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))) (-.f64 4 (.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))) (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (pow.f64 x 3)) 0) (/.f64 (-.f64 (.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 x 3) 0) (/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (pow.f64 x 3)) 0) (/.f64 (-.f64 (.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (pow.f64 x 3) x) 0) (/.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (-.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 x) (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 3) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (+.f64 (-.f64 (pow.f64 x 3) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) (*.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (*.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))) (-.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)) (*.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 x (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 x 3) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 x 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 x) 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (pow.f64 x 3) x) 0) (/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (-.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 0 0) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 x) (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))))))

simplify55.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1076×	`rational_best-simplify-111`
842×	`rational_best-simplify-61`
830×	`rational_best-simplify-96`
818×	`rational_best-simplify-65`
588×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	504
1	415	504
2	2657	504

Stop Event

1×	node limit

Counts

40 → 33

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(*.f64 -1 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (-.f64 x (pow.f64 x 3)) 0)
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(+.f64 0 (-.f64 x (pow.f64 x 3)))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(*.f64 (-.f64 (pow.f64 x 3) x) -1)
(*.f64 -1 (-.f64 (pow.f64 x 3) x))
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(/.f64 (-.f64 x (pow.f64 x 3)) 1)
(/.f64 (-.f64 (pow.f64 x 3) x) -1)
(/.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) -2)
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (+.f64 (-.f64 (pow.f64 x 3) x) 1))
(/.f64 (+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))) (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(neg.f64 (-.f64 (pow.f64 x 3) x))
(if (!=.f64 (+.f64 x (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 (pow.f64 x 3) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 x 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 (neg.f64 (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 (-.f64 (pow.f64 x 3) x) 0) (/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (-.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 (-.f64 (neg.f64 x) (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(if (!=.f64 -1 0) (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (pow.f64 x 3))
(neg.f64 (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 x (neg.f64 (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(+.f64 (-.f64 x (pow.f64 x 3)) 0)
(-.f64 x (pow.f64 x 3))
(+.f64 (neg.f64 (pow.f64 x 3)) x)
(-.f64 x (pow.f64 x 3))
(+.f64 0 (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(*.f64 (-.f64 (pow.f64 x 3) x) -1)
(-.f64 x (pow.f64 x 3))
(*.f64 -1 (-.f64 (pow.f64 x 3) x))
(-.f64 x (pow.f64 x 3))
(*.f64 1 (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (pow.f64 x 3) x) -1)
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) -2)
(-.f64 x (pow.f64 x 3))
(/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (+.f64 (-.f64 (pow.f64 x 3) x) 1))
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3))) 2)
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) -4)
(-.f64 x (pow.f64 x 3))
(/.f64 (+.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (+.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x))) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)))))
(-.f64 x (pow.f64 x 3))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x)))) (.f64 (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))) (-.f64 (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (+.f64 (-.f64 (pow.f64 x 3) x) 1)) (.f64 (+.f64 (-.f64 (pow.f64 x 3) x) 1) (.f64 (-.f64 (pow.f64 x 3) x) (-.f64 -1 (-.f64 (pow.f64 x 3) x))))))
(-.f64 x (pow.f64 x 3))
(pow.f64 (-.f64 x (pow.f64 x 3)) 1)
(-.f64 x (pow.f64 x 3))
(neg.f64 (-.f64 (pow.f64 x 3) x))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (+.f64 x (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (pow.f64 x 3) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 x 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (neg.f64 (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 x 6)) (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (neg.f64 x) 0) (/.f64 (*.f64 x (-.f64 x (pow.f64 x 3))) x) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (-.f64 (pow.f64 x 3) x) 0) (/.f64 (*.f64 (-.f64 (pow.f64 x 3) x) (-.f64 (pow.f64 x 3) x)) (-.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 0 0) (/.f64 0 0) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 (-.f64 (neg.f64 x) (pow.f64 x 3)) 0) (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 6)) (+.f64 x (pow.f64 x 3))) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))
(if (!=.f64 -1 0) (-.f64 x (pow.f64 x 3)) (-.f64 x (pow.f64 x 3)))
(-.f64 x (pow.f64 x 3))

localize3.0ms (0.2%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval11.0ms (0.9%)

Compiler: Compiled 554 to 385 computations (30.5% saved)

prune5.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	33	4	37

Error

0.0b

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.3b	(/.f64 1 x)
✓	32.8b	(-.f64 x (pow.f64 x 3))
	31.8b	x

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune4.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.3b	(/.f64 1 x)
✓	32.8b	(-.f64 x (pow.f64 x 3))
	31.8b	x

Compiler

Compiled 20 to 13 computations (35% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

0.0b

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.9b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	30.3b	(/.f64 1 x)
✓	32.8b	(-.f64 x (pow.f64 x 3))
	31.8b	x

Compiler

Compiled 20 to 13 computations (35% saved)

regimes22.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)
(/.f64 x (+.f64 (*.f64 x x) 1))
(-.f64 x (pow.f64 x 3))

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

Calls

2 calls:

11.0ms	x
10.0ms	(/.f64 x (+.f64 (*.f64 x x) 1))

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	3	`(/.f64 x (+.f64 (*.f64 x x) 1))`

Compiler

Compiled 27 to 16 computations (40.7% saved)

bsearch5.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
3.0ms	199.7112698857468	51424473223.03536
2.0ms	-566823566852695.4	-2010047028.5620441

Results

4.0ms

48×

body

256

valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes10.0ms (0.8%)

Accuracy

Total -61.2b remaining (-13552.4%)

Threshold costs -61.2b (-13552.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

Outputs
(/.f64 1 x)
x
(/.f64 1 x)

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.5b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch30.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	4.963959234288715e-7	199.7112698857468
16.0ms	-2010047028.5620441	-0.09866850151707433

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 164 to 122 computations (25.6% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	85

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -500000000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Outputs
(if (<=.f64 x -500000000000000) (/.f64 1 x) (if (<=.f64 x 5000000) (/.f64 x (+.f64 (*.f64 x x) 1)) (/.f64 1 x)))
(if (<=.f64 x -1) (/.f64 1 x) (if (<=.f64 x 1) x (/.f64 1 x)))
x

Compiler

Compiled 40 to 27 computations (32.5% saved)

soundness0.0ms (0%)

end27.0ms (2.1%)

Compiler: Compiled 38 to 25 computations (34.2% saved)

Details

analyze3.0ms (0.2%)

sample688.0ms (53.9%)

preprocess78.0ms (6.1%)

simplify77.0ms (6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize6.0ms (0.5%)

series1.0ms (0.1%)

rewrite78.0ms (6.1%)

simplify75.0ms (5.8%)

eval5.0ms (0.4%)

prune5.0ms (0.4%)

localize5.0ms (0.4%)

series1.0ms (0.1%)

rewrite78.0ms (6.1%)

simplify55.0ms (4.3%)

localize3.0ms (0.2%)

eval11.0ms (0.9%)

prune5.0ms (0.4%)

eval0.0ms (0%)

prune4.0ms (0.3%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes22.0ms (1.7%)

bsearch5.0ms (0.4%)

regimes10.0ms (0.8%)

bsearch30.0ms (2.3%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

end27.0ms (2.1%)

Profiling