Details

analyze4.0ms (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)

sample1.3s (50.7%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess30.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	14	19
3	16	19
4	20	19
5	20	19
0	1	1

Stop Event

1×	saturated
1×	saturated

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)

simplify17.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-73`
2×	`rational.json-simplify-71`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	10	19
2	14	19
3	16	19
4	20	19
5	20	19

Stop Event

1×

saturated

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%)

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

16.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize71.0ms (2.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

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))

rewrite174.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational.json-5`
1454×	`exponential.json-3`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	60	19
2	194	19
3	708	19
4	2873	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

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

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

Outputs

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

simplify234.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-111`
994×	`rational.json-simplify-47`
990×	`rational.json-simplify-1`
928×	`rational.json-simplify-58`
850×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	695
1	117	687
2	226	687
3	904	685
4	3642	685
5	6007	685

Stop Event

1×	node limit

Counts

29 → 41

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))))
(+.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))
(-.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(-.f64 0 (neg.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (+.f64 (*.f64 x x) 1)))) 1)
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))))
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (.f64 x x) 1)))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1))))
(.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (*.f64 x x) 1))))
(.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))))
(.f64 (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (*.f64 x x) 1))))))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(neg.f64 (neg.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))

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 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 x (+.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 3))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.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 (pow.f64 x 5) (+.f64 x (.f64 -1 (pow.f64 x 7)))))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 x (neg.f64 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)) (neg.f64 (pow.f64 x 7))))
(+.f64 (pow.f64 x 5) (+.f64 x (*.f64 -1 (+.f64 (pow.f64 x 7) (pow.f64 x 3)))))
(+.f64 x (+.f64 (pow.f64 x 5) (*.f64 -1 (+.f64 (pow.f64 x 3) (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 (/.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 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))
(/.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 (/.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 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(+.f64 0 (/.f64 x (+.f64 (*.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(-.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 0)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(-.f64 0 (neg.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 x (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 1 (/.f64 x (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (.f64 x x) 1)))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 1 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 (/.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(.f64 (.f64 (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (/.f64 1 (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1)))) (.f64 (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (.f64 x x) 1))) (.f64 (/.f64 x (+.f64 (.f64 x x) 1)) (/.f64 x (+.f64 (*.f64 x x) 1))))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(pow.f64 (/.f64 x (+.f64 (*.f64 x x) 1)) 1)
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))
(neg.f64 (neg.f64 (/.f64 x (+.f64 (*.f64 x x) 1))))
(/.f64 x (+.f64 1 (*.f64 x x)))
(/.f64 x (-.f64 (*.f64 x x) -1))

eval13.0ms (0.5%)

Compiler: Compiled 743 to 449 computations (39.6% saved)

prune72.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
▶	28.8b	(/.f64 1 x)
▶	34.6b	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
	33.9b	x

Compiler

Compiled 25 to 17 computations (32% saved)

localize17.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (pow.f64 x 5))
✓	21.8b	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))

Compiler

Compiled 29 to 20 computations (31% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
1.0ms	x	@	inf	(+.f64 x (pow.f64 x 5))
0.0ms	x	@	0	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
0.0ms	x	@	-inf	(+.f64 x (pow.f64 x 5))
0.0ms	x	@	inf	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))

rewrite105.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`rational.json-1`
1980×	`rational.json-2`
1980×	`rational.json-3`
1978×	`rational.json-5`
1976×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	96	42
2	301	42
3	1028	42
4	4002	42

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 x (pow.f64 x 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (pow.f64 x 5)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (*.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (*.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (pow.f64 x 5)) (*.f64 (+.f64 x (pow.f64 x 5)) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (pow.f64 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (pow.f64 x 5)) 1)))))

simplify275.0ms (10.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-58`
900×	`rational.json-simplify-47`
726×	`rational.json-simplify-2`
644×	`rational.json-simplify-49`
584×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	1230
1	108	1230
2	269	1230
3	1074	1230
4	3676	1230
5	6019	1230

Stop Event

1×	node limit

Counts

46 → 38

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) x))
(pow.f64 x 5)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5))
(+.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) x))
(pow.f64 x 5)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5))
(+.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) x))
x
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(pow.f64 x 5)
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(pow.f64 x 5)
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(+.f64 (pow.f64 x 5) x)
(-.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 0)
(*.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(*.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(*.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (*.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) 1))
(.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(.f64 (.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))))
(/.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(/.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(pow.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(-.f64 (+.f64 x (pow.f64 x 5)) 0)
(*.f64 (+.f64 x (pow.f64 x 5)) 1)
(*.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(*.f64 1 (+.f64 x (pow.f64 x 5)))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (pow.f64 x 5))))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (*.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) 1))
(.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5)))))
(/.f64 (+.f64 x (pow.f64 x 5)) 1)
(/.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(pow.f64 (+.f64 x (pow.f64 x 5)) 1)

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 x (neg.f64 (pow.f64 x 3)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(pow.f64 x 5)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(pow.f64 x 5)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
x
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(pow.f64 x 5)
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(pow.f64 x 5)
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(+.f64 (pow.f64 x 5) x)
(+.f64 x (pow.f64 x 5))
(-.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 0)
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(*.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(*.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(*.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(*.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (*.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) 1))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))))))
(.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))))))
(.f64 (.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))) (*.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))))
(.f64 (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))))
(.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))))))
(/.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(/.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5))) (/.f64 (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5))) (-.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))))
(pow.f64 (+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))) 1)
(+.f64 x (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5)))
(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
(-.f64 (+.f64 x (pow.f64 x 5)) 0)
(+.f64 x (pow.f64 x 5))
(*.f64 (+.f64 x (pow.f64 x 5)) 1)
(+.f64 x (pow.f64 x 5))
(*.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(+.f64 x (pow.f64 x 5))
(*.f64 1 (+.f64 x (pow.f64 x 5)))
(+.f64 x (pow.f64 x 5))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (/.f64 1 (+.f64 x (pow.f64 x 5))))
(+.f64 x (pow.f64 x 5))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))) (*.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) 1))
(+.f64 x (pow.f64 x 5))
(.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(+.f64 x (pow.f64 x 5))
(.f64 (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))) (/.f64 (/.f64 1 (+.f64 x (pow.f64 x 5))) (*.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5)))))
(+.f64 x (pow.f64 x 5))
(/.f64 (+.f64 x (pow.f64 x 5)) 1)
(+.f64 x (pow.f64 x 5))
(/.f64 (+.f64 x (pow.f64 x 5)) (/.f64 (+.f64 x (pow.f64 x 5)) (+.f64 x (pow.f64 x 5))))
(+.f64 x (pow.f64 x 5))
(pow.f64 (+.f64 x (pow.f64 x 5)) 1)
(+.f64 x (pow.f64 x 5))

localize6.0ms (0.2%)

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

eval30.0ms (1.2%)

Compiler: Compiled 758 to 542 computations (28.5% saved)

prune10.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.8b	(/.f64 1 x)
✓	34.6b	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
	33.9b	x

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

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

prune3.0ms (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
✓	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.8b	(/.f64 1 x)
✓	34.6b	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
	33.9b	x

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

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

prune5.0ms (0.2%)

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
✓	16.5b	(/.f64 x (+.f64 (*.f64 x x) 1))
✓	28.8b	(/.f64 1 x)
✓	34.6b	(+.f64 (neg.f64 (pow.f64 x 3)) (+.f64 x (pow.f64 x 5)))
	33.9b	x

Compiler

Compiled 25 to 17 computations (32% saved)

regimes43.0ms (1.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	x
18.0ms	(/.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 32 to 20 computations (37.5% saved)

bsearch13.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
10.0ms	4.633337970094998	4729163820924.075
3.0ms	-4647298178748207.0	-103141101713565.08

Results

11.0ms

48×

body

256

valid

Compiler

Compiled 54 to 38 computations (29.6% saved)

regimes18.0ms (0.7%)

Accuracy

Total -60.5b remaining (-5743.3%)

Threshold costs -60.5b (-5743.3%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(/.f64 1 x)

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

bsearch52.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	0.0007108001869681506	2.397167733842667
27.0ms	-1196.1857613930472	-0.7519943825583358

Results

41.0ms

256×

body

256

valid

Compiler

Compiled 140 to 104 computations (25.7% saved)

simplify5.0ms (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 -4000000000000000) (/.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 -4000000000000000) (/.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%)

end44.0ms (1.7%)

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

Details

analyze4.0ms (0.2%)

sample1.3s (50.7%)

preprocess30.0ms (1.2%)

simplify17.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize71.0ms (2.8%)

series1.0ms (0%)

rewrite174.0ms (6.9%)

simplify234.0ms (9.2%)

eval13.0ms (0.5%)

prune72.0ms (2.8%)

localize17.0ms (0.7%)

series5.0ms (0.2%)

rewrite105.0ms (4.1%)

simplify275.0ms (10.8%)

localize6.0ms (0.2%)

eval30.0ms (1.2%)

prune10.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes43.0ms (1.7%)

bsearch13.0ms (0.5%)

regimes18.0ms (0.7%)

bsearch52.0ms (2.1%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

end44.0ms (1.7%)

Profiling