Details

analyze4.0ms (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
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample689.0ms (9.5%)

Results

676.0ms	8256×	body	256	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess7.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19
2	12	19
3	14	19
4	18	19
5	18	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	10	19
2	12	19
3	14	19
4	18	19
5	18	19

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	0	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	-inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-5`
1416×	`exponential.json-3`
1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	66	19
2	207	19
3	713	19
4	2818	19

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

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

Outputs

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

simplify218.0ms (3%)

Algorithm

1×	egg-herbie

Rules

990×	`rational.json-simplify-47`
924×	`rational.json-simplify-1`
854×	`exponential.json-simplify-26`
854×	`rational.json-simplify-111`
668×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	521
1	88	521
2	174	521
3	796	521
4	3896	521
5	7230	521

Stop Event

1×	node limit

Counts

29 → 21

Calls

Call 1

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

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

eval8.0ms (0.1%)

Compiler: Compiled 477 to 308 computations (35.4% saved)

prune7.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Error

0.0b

Counts

22 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.2b	(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
▶	19.8b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
▶	14.6b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
▶	37.2b	(*.f64 1/6 (pow.f64 x 2))
	26.7b	-1/2

Compiler

Compiled 108 to 76 computations (29.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/6 (pow.f64 x 2))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 2))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`rational.json-5`
1162×	`exponential.json-3`
1162×	`rational.json-1`
1162×	`rational.json-2`
1162×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	57	13
2	174	13
3	604	13
4	2297	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))

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

Outputs

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

simplify154.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1688×	`rational.json-simplify-47`
928×	`rational.json-simplify-54`
712×	`rational.json-simplify-1`
704×	`rational.json-simplify-104`
702×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	117
1	47	117
2	117	117
3	344	117
4	1339	117
5	3315	117
6	6311	117

Stop Event

1×	node limit

Counts

9 → 10

Calls

Call 1

Inputs
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 0)
(+.f64 0 (*.f64 1/6 (pow.f64 x 2)))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 0)
(-.f64 0 (neg.f64 (*.f64 1/6 (pow.f64 x 2))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/6 (pow.f64 x 2)))) 1)
(/.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 2))))
(pow.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(neg.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 2))))

Outputs
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 0)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 0 (*.f64 1/6 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 0)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 0 (neg.f64 (*.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 1/6 (pow.f64 x 2)))) 1)
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
(/.f64 (.f64 1/6 (pow.f64 x 2)) (/.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))
(pow.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
(neg.f64 (neg.f64 (*.f64 1/6 (pow.f64 x 2))))
(*.f64 1/6 (pow.f64 x 2))

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	13.7b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Compiler

Compiled 69 to 42 computations (39.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
0.0ms	x	@	inf	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
0.0ms	x	@	0	(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))

rewrite132.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-simplify-47`
786×	`rational.json-simplify-58`
674×	`rational.json-simplify-55`
482×	`rational.json-5`
480×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	141
1	101	87
2	298	87
3	1043	87
4	4717	87

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

(*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))

(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))

Outputs

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

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

simplify212.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational.json-simplify-2`
1090×	`rational.json-simplify-47`
800×	`rational.json-simplify-1`
704×	`rational.json-simplify-50`
666×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	3231
1	381	3231
2	633	3231
3	2337	3231
4	6636	3231

Stop Event

1×	node limit

Counts

99 → 94

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(+.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
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(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
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(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1/4 (*.f64 (pow.f64 x 2) -1/6))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (*.f64 (pow.f64 x 2) -2/3) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (.f64 (pow.f64 x 4) -2/9)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 -2/27 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) -2/9))) 2)
(-.f64 (+.f64 (.f64 -2/27 (pow.f64 x 6)) (+.f64 (.f64 (pow.f64 x 2) -2/3) (*.f64 (pow.f64 x 4) -2/9))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 (pow.f64 x 4) -2/9) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8)))) (.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8)))) (.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (.f64 (fabs.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
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(fabs.f64 (.f64 (neg.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) 2) (.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (neg.f64 (/.f64 (-.f64 (.f64 x x) 3) 6))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (/.f64 (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))

localize47.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	18.6b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))

Compiler

Compiled 157 to 97 computations (38.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

0.0ms

inf

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

0.0ms

-inf

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

rewrite135.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-simplify-47`
1328×	`rational.json-simplify-55`
754×	`rational.json-simplify-43`
614×	`rational.json-5`
612×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	169
1	120	121
2	372	19
3	1397	19
4	6587	19

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

Outputs

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

simplify172.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-2`
1034×	`rational.json-simplify-43`
906×	`rational.json-simplify-47`
770×	`rational.json-simplify-1`
672×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	388
1	53	388
2	103	388
3	280	388
4	907	388
5	2879	388
6	6153	388

Stop Event

1×	node limit

Counts

22 → 13

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 1/6 (pow.f64 x 2))

Compiler

Compiled 20 to 16 computations (20% saved)

eval488.0ms (6.7%)

Compiler: Compiled 28585 to 18704 computations (34.6% saved)

prune120.0ms (1.7%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	502	6	508
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	502	12	514

Error

0.0b

Counts

514 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.2b	(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
✓	19.8b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
▶	19.8b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	14.6b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
	51.3b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (*.f64 1/36 (pow.f64 x 4)))
▶	14.6b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
▶	14.6b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
▶	14.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
▶	19.6b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
✓	37.2b	(*.f64 1/6 (pow.f64 x 2))
	26.7b	-1/2

Compiler

Compiled 716 to 502 computations (29.9% saved)

localize41.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	13.7b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
	13.7b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Compiler

Compiled 139 to 88 computations (36.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

0.0ms

inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

0.0ms

-inf

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

rewrite109.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational.json-simplify-47`
786×	`rational.json-simplify-58`
674×	`rational.json-simplify-55`
492×	`rational.json-5`
490×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	127
1	120	19
2	365	19
3	1108	19
4	4774	19

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Outputs

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

simplify173.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-2`
1034×	`rational.json-simplify-43`
906×	`rational.json-simplify-47`
770×	`rational.json-simplify-1`
672×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	388
1	53	388
2	103	388
3	280	388
4	907	388
5	2879	388
6	6153	388

Stop Event

1×	node limit

Counts

22 → 13

Calls

Call 1

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

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

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	13.7b	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Compiler

Compiled 116 to 80 computations (31% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
0.0ms	x	@	inf	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
0.0ms	x	@	inf	(/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))
0.0ms	x	@	-inf	(/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))
0.0ms	x	@	-inf	(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

rewrite123.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`rational.json-simplify-49`
1078×	`rational.json-simplify-47`
628×	`rational.json-simplify-55`
616×	`rational.json-5`
614×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	122
1	157	98
2	454	44
3	1455	44
4	5705	44

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

(/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))

Outputs

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

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

simplify207.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1480×	`rational.json-simplify-54`
832×	`rational.json-simplify-1`
810×	`rational.json-simplify-58`
672×	`rational.json-simplify-44`
650×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	2235
1	264	1791
2	692	1791
3	1789	1791
4	4355	1791
5	7240	1791

Stop Event

1×	node limit

Counts

75 → 75

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(+.f64 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(-.f64 1 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 1 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))
(-.f64 1 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2) -1))
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 0 (+.f64 (-.f64 2 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
(-.f64 0 (+.f64 (+.f64 -2 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))
(-.f64 0 (+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2) -1))
(-.f64 -1 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 -1 (+.f64 -2 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 -1 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2) 1))
(-.f64 -1 (+.f64 (+.f64 -1 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 2))
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(-.f64 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(-.f64 2 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))
(-.f64 2 (-.f64 2 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(-.f64 (+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 2) 2)
(-.f64 -2 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 -2 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
(-.f64 -2 (+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2) 1))
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 2) -2)
(-.f64 -3 (+.f64 -1 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 -3 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 3) -3)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (*.f64 (pow.f64 x 2) -2/3) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (.f64 -2/9 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 -2/27 (pow.f64 x 6)) (*.f64 -2/9 (pow.f64 x 4)))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 -2/9 (pow.f64 x 4)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 54 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (*.f64 18 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (.f64 162 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 54 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (*.f64 18 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (.f64 162 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 -1 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 1 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 1 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 1 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2) -1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (+.f64 (-.f64 2 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (+.f64 (+.f64 -2 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2) -1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -1 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -1 (+.f64 -2 (-.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -1 (+.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2) 1))
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -1 (+.f64 (+.f64 -1 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (+.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 2 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 2 (-.f64 2 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 2) 2)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -2 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -2 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -2 (+.f64 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2) 1))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 2) -2)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -3 (+.f64 -1 (-.f64 -2 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 -3 (+.f64 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -2))
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 3) -3)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) -1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(+.f64 1 (+.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
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(/.f64 (-.f64 (*.f64 x x) 3) 6)
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(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
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(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))

localize48.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	0.1b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	13.3b	(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
✓	13.7b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Compiler

Compiled 152 to 101 computations (33.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
0.0ms	x	@	inf	(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
0.0ms	x	@	0	(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
0.0ms	x	@	0	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
0.0ms	x	@	inf	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

rewrite150.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`rational.json-simplify-47`
1160×	`rational.json-simplify-55`
686×	`rational.json-5`
684×	`exponential.json-3`
684×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	261
1	129	129
2	410	75
3	1558	75
4	6466	75

Stop Event

1×	node limit

Counts

3 → 33

Calls

Call 1

Inputs

(*.f64 (*.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

(*.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))

(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Outputs

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

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

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

simplify190.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

804×	`rational.json-simplify-111`
730×	`rational.json-simplify-58`
720×	`rational.json-simplify-1`
682×	`rational.json-simplify-47`
668×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	1779
1	192	1779
2	362	1779
3	1194	1779
4	3831	1779
5	6651	1779

Stop Event

1×	node limit

Counts

69 → 55

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(+.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 0)
(+.f64 0 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))) 1)
(.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))))
(pow.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (*.f64 (pow.f64 x 2) -2/3) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (.f64 -2/9 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 -2/27 (pow.f64 x 6)) (*.f64 -2/9 (pow.f64 x 4)))) 2)
(-.f64 (+.f64 (.f64 (pow.f64 x 2) -2/3) (+.f64 (.f64 -2/9 (pow.f64 x 4)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 18 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6)))) (.f64 162 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 18 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6)))) (.f64 162 (/.f64 1 (pow.f64 x 8)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 0)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 0 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 0)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))

localize71.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
	13.7b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	18.6b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))

Compiler

Compiled 245 to 155 computations (36.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

0.0ms

inf

(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

0.0ms

-inf

(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

rewrite118.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`rational.json-simplify-58`
696×	`rational.json-5`
694×	`exponential.json-3`
694×	`rational.json-1`
694×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	223
1	139	19
2	439	19
3	1487	19
4	5612	19

Stop Event

1×	node limit

Counts

1 → 10

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

Outputs

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

simplify173.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational.json-simplify-2`
1034×	`rational.json-simplify-43`
906×	`rational.json-simplify-47`
770×	`rational.json-simplify-1`
672×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	388
1	53	388
2	103	388
3	280	388
4	907	388
5	2879	388
6	6153	388

Stop Event

1×	node limit

Counts

22 → 13

Calls

Call 1

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

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

localize105.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
	0.1b	(/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	13.7b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
✓	19.2b	(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))

Compiler

Compiled 302 to 206 computations (31.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
0.0ms	x	@	0	(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
0.0ms	x	@	inf	(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
0.0ms	x	@	-inf	(.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))))
0.0ms	x	@	inf	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))

rewrite151.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`rational.json-5`
850×	`exponential.json-3`
850×	`rational.json-1`
850×	`rational.json-2`
850×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	470
1	149	98
2	490	44
3	1879	44
4	6810	44

Stop Event

1×	node limit

Counts

2 → 20

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))

(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Outputs

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

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

simplify165.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1736×	`rational.json-simplify-47`
1000×	`rational.json-simplify-1`
762×	`rational.json-simplify-55`
696×	`rational.json-simplify-111`
680×	`rational.json-simplify-76`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	1178
1	141	1178
2	250	1178
3	632	1178
4	2214	1178
5	5257	1178

Stop Event

1×	node limit

Counts

44 → 45

Calls

Call 1

Inputs
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))

Outputs
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/3 (pow.f64 x 2)) (.f64 -2/9 (pow.f64 x 4))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(-.f64 (+.f64 (.f64 -2/3 (pow.f64 x 2)) (+.f64 (.f64 -2/27 (pow.f64 x 6)) (*.f64 -2/9 (pow.f64 x 4)))) 2)
(-.f64 (+.f64 (.f64 -2/3 (pow.f64 x 2)) (+.f64 (.f64 -2/9 (pow.f64 x 4)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 54 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (*.f64 18 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2)))) (*.f64 54 (/.f64 1 (pow.f64 x 6))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (*.f64 18 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (*.f64 54 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 54 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (.f64 162 (/.f64 1 (pow.f64 x 8))))))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) 1/6)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 (pow.f64 x 2) 1/6) 1/2)
(+.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 0 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(neg.f64 (neg.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)

eval1.2s (17%)

Compiler: Compiled 62918 to 41976 computations (33.3% saved)

prune231.0ms (3.2%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	1001	2	1003
Fresh	1	1	2
Picked	0	1	1
Done	1	8	9
Total	1003	12	1015

Error

0.0b

Counts

1015 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	0.1b	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
✓	0.2b	(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
✓	19.8b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	19.8b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
▶	19.8b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	14.6b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	14.6b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	14.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	19.6b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
✓	37.2b	(*.f64 1/6 (pow.f64 x 2))
	26.7b	-1/2

Compiler

Compiled 470 to 324 computations (31.1% saved)

localize91.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
✓	0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
	13.7b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	18.6b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))

Compiler

Compiled 314 to 200 computations (36.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
0.0ms	x	@	-inf	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
0.0ms	x	@	inf	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
0.0ms	x	@	-inf	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
0.0ms	x	@	inf	(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

rewrite130.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational.json-simplify-58`
692×	`rational.json-5`
690×	`exponential.json-3`
690×	`rational.json-1`
690×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	374
1	150	212
2	476	62
3	1592	62
4	5588	62

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs

(*.f64 (/.f64 (/.f64 1 (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

(*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (*.f64 (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)) (*.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))

Outputs

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

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

simplify149.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1680×	`rational.json-simplify-76`
1528×	`rational.json-simplify-47`
1446×	`rational.json-simplify-111`
842×	`rational.json-simplify-2`
630×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	1836
1	224	1836
2	388	1836
3	1357	1836
4	4217	1836

Stop Event

1×	node limit

Counts

60 → 48

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(+.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(-.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(-.f64 0 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(neg.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(fabs.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) 2) (.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))))
(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
1/4
(+.f64 1/4 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1/4 (*.f64 (pow.f64 x 2) -1/6))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(*.f64 1/36 (pow.f64 x 4))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (.f64 -1/6 (pow.f64 x 2)))
(+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4)))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 -1/6 (pow.f64 x 2))))
(+.f64 1/4 (+.f64 (.f64 (pow.f64 x 2) -1/6) (.f64 1/36 (pow.f64 x 4))))
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 0 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (*.f64 x x) 3) 6))) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(+.f64 0 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 0)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 0 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(pow.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)) 1)
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(neg.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))
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(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (neg.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (fabs.f64 (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) 2) (.f64 (fabs.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6)) 2))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (fabs.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))
(fabs.f64 (-.f64 0 (/.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))))))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6))

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 40 to 25 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
0.0ms	x	@	-inf	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
0.0ms	x	@	inf	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)

rewrite83.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-5`
1748×	`exponential.json-3`
1748×	`rational.json-1`
1748×	`rational.json-2`
1748×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	93	19
2	275	19
3	948	19
4	3602	19

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)

Outputs

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

simplify251.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational.json-simplify-47`
1078×	`rational.json-simplify-49`
904×	`exponential.json-simplify-26`
884×	`rational.json-simplify-1`
870×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	445
1	57	445
2	178	445
3	1098	445
4	4749	445
5	7023	445

Stop Event

1×	node limit

Counts

25 → 16

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) 1)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
(.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))
(.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1))
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(+.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 0)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(+.f64 0 (/.f64 (-.f64 (*.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) 1))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(.f64 (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) 1)
(/.f64 (-.f64 (*.f64 x x) 3) 6)

eval480.0ms (6.6%)

Compiler: Compiled 24737 to 16195 computations (34.5% saved)

prune67.0ms (0.9%)

Pruning

12 alts after pruning (1 fresh and 11 done)

	Pruned	Kept	Total
New	291	0	291
Fresh	0	1	1
Picked	0	1	1
Done	0	10	10
Total	291	12	303

Error

0.0b

Counts

303 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	0.1b	(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
✓	0.2b	(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
✓	19.8b	(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	19.8b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	19.8b	(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
✓	14.6b	(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	14.6b	(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	14.6b	(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
✓	19.6b	(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
✓	37.2b	(*.f64 1/6 (pow.f64 x 2))
	26.7b	-1/2

Compiler

Compiled 470 to 324 computations (31.1% saved)

regimes34.0ms (0.5%)

Accuracy

Total -62.8b remaining (-57396.8%)

Threshold costs -62.8b (-57396.8%)

Counts

14 → 1

Calls

Call 1

Inputs
-1/2
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (-.f64 (/.f64 (-.f64 (*.f64 x x) 3) 6) -3) 3)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 1 (-.f64 (-.f64 0 (-.f64 -1 (/.f64 (-.f64 (.f64 x x) 3) 6))) 1)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (*.f64 x x) 3) 6)))
(.f64 (/.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
(.f64 (.f64 (.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)))) (/.f64 (/.f64 1 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))
(.f64 (/.f64 (/.f64 1 (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)))) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))) (.f64 (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6)) (.f64 (/.f64 (-.f64 (.f64 x x) 3) 6) (/.f64 (-.f64 (.f64 x x) 3) 6))))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(.f64 (/.f64 1 (/.f64 (-.f64 (.f64 x x) 3) 6)) (*.f64 1/36 (pow.f64 x 4)))

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Calls

4 calls:

9.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(-.f64 (*.f64 x x) 3)
4.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.1b	1	`(-.f64 (*.f64 x x) 3)`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 525 to 351 computations (33.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
-1/2

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
-1/2

Compiler

Compiled 10 to 8 computations (20% saved)

soundness0.0ms (0%)

end18.0ms (0.3%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

Details

analyze4.0ms (0.1%)

sample689.0ms (9.5%)

preprocess7.0ms (0.1%)

simplify18.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite79.0ms (1.1%)

simplify218.0ms (3%)

eval8.0ms (0.1%)

prune7.0ms (0.1%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite74.0ms (1%)

simplify154.0ms (2.1%)

localize22.0ms (0.3%)

series2.0ms (0%)

rewrite132.0ms (1.8%)

simplify212.0ms (2.9%)

localize47.0ms (0.6%)

series1.0ms (0%)

rewrite135.0ms (1.9%)

simplify172.0ms (2.4%)

localize9.0ms (0.1%)

eval488.0ms (6.7%)

prune120.0ms (1.7%)

localize41.0ms (0.6%)

series0.0ms (0%)

rewrite109.0ms (1.5%)

simplify173.0ms (2.4%)

localize40.0ms (0.6%)

series1.0ms (0%)

rewrite123.0ms (1.7%)

simplify207.0ms (2.9%)

localize48.0ms (0.7%)

series2.0ms (0%)

rewrite150.0ms (2.1%)

simplify190.0ms (2.6%)

localize71.0ms (1%)

series1.0ms (0%)

rewrite118.0ms (1.6%)

simplify173.0ms (2.4%)

localize105.0ms (1.4%)

series3.0ms (0%)

rewrite151.0ms (2.1%)

simplify165.0ms (2.3%)

eval1.2s (17%)

prune231.0ms (3.2%)

localize91.0ms (1.2%)

series1.0ms (0%)

rewrite130.0ms (1.8%)

simplify149.0ms (2.1%)

localize13.0ms (0.2%)

series1.0ms (0%)

rewrite83.0ms (1.1%)

simplify251.0ms (3.5%)

eval480.0ms (6.6%)

prune67.0ms (0.9%)

regimes34.0ms (0.5%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end18.0ms (0.3%)

Profiling