Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample2.5s (59.8%)

Results

2.4s

8256×

body

256

valid

Bogosity

preprocess12.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

10×	`rational.json-simplify-2`
6×	`rational.json-simplify-1`
4×	`rational.json-simplify-47`
4×	`rational.json-simplify-54`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	16	19
3	20	19
4	25	19
5	27	19
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

10×	`rational.json-simplify-2`
6×	`rational.json-simplify-1`
4×	`rational.json-simplify-47`
4×	`rational.json-simplify-54`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	16	19
3	20	19
4	25	19
5	27	19

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 17 to 6 computations (64.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 4 computations (76.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite164.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1578×	`rational.json-5`
1576×	`exponential.json-3`
1576×	`rational.json-1`
1576×	`rational.json-2`
1576×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	32
1	54	32
2	194	32
3	726	32
4	3066	32

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

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

Outputs

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

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

simplify277.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

1322×	`rational.json-simplify-2`
1274×	`rational.json-simplify-47`
1048×	`rational.json-simplify-49`
786×	`rational.json-simplify-50`
786×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	1217
1	217	1093
2	547	1093
3	2141	1093
4	7559	1093

Stop Event

1×	node limit

Counts

69 → 58

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))
✓	0.1b	(.f64 x (.f64 x x))

Compiler

Compiled 19 to 4 computations (78.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite99.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`rational.json-5`
1712×	`exponential.json-3`
1712×	`rational.json-1`
1712×	`rational.json-2`
1712×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	32
1	56	32
2	207	32
3	772	32
4	3307	32

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify221.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational.json-simplify-41`
1078×	`rational.json-simplify-47`
1054×	`rational.json-simplify-43`
914×	`rational.json-simplify-54`
872×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	956
1	151	956
2	421	956
3	1849	956
4	5157	956
5	7285	956

Stop Event

1×	node limit

Counts

60 → 42

Calls

Call 1

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

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

eval26.0ms (0.6%)

Compiler: Compiled 1300 to 531 computations (59.2% saved)

prune25.0ms (0.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	98	4	102

Error

Counts

102 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))
▶	49.9b	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (*.f64 x x)))))
▶	1.8b	(*.f64 x x)

Compiler

Compiled 44 to 22 computations (50% saved)

localize8.0ms (0.2%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize43.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 1 x) (*.f64 x x))
✓	0.1b	(/.f64 1 (*.f64 x x))
✓	0.1b	(.f64 (.f64 x x) (*.f64 x x))
✓	49.1b	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))))

Compiler

Compiled 85 to 32 computations (62.4% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))))
0.0ms	x	@	-inf	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))))
0.0ms	x	@	0	(/.f64 1 (*.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 x x) (*.f64 x x))
0.0ms	x	@	inf	(.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))))

rewrite166.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1262×	`rational.json-simplify-49`
1060×	`rational.json-simplify-55`
974×	`rational.json-simplify-47`
578×	`rational.json-5`
576×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	112
1	96	112
2	313	112
3	1198	112
4	5781	112

Stop Event

1×	node limit

Counts

4 → 102

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) (/.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 x (.f64 (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (.f64 x x))) (.f64 x (.f64 x x))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 x x) (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 x (.f64 x (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 x x) (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x x) (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (neg.f64 (/.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (.f64 x (.f64 x (fabs.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (fabs.f64 x) (.f64 x (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x (.f64 x (fabs.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (.f64 x x) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (neg.f64 (.f64 x x)) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x))) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (neg.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (.f64 x x) (fabs.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 (.f64 x x) (neg.f64 (/.f64 x x))) (/.f64 (.f64 x x) (neg.f64 (/.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (neg.f64 (.f64 x (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x (/.f64 (.f64 x (.f64 x x)) (fabs.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify115.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1294×	`rational.json-simplify-2`
1276×	`rational.json-simplify-47`
1018×	`rational.json-simplify-54`
750×	`rational.json-simplify-43`
656×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	235	2792
1	536	2792
2	1036	2792
3	2922	2792

Stop Event

1×	node limit

Counts

150 → 115

Calls

Call 1

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 8 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite83.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`rational.json-5`
1682×	`exponential.json-3`
1682×	`rational.json-1`
1682×	`rational.json-2`
1682×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	63	19
2	210	19
3	777	19
4	3268	19

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

Outputs

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

simplify189.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

1372×	`rational.json-simplify-79`
1210×	`rational.json-simplify-47`
1162×	`rational.json-simplify-2`
796×	`rational.json-simplify-76`
784×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	306
1	34	306
2	89	306
3	268	306
4	1065	306
5	2389	306
6	5036	306
7	6583	306

Stop Event

1×	node limit

Counts

18 → 11

Calls

Call 1

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

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

eval36.0ms (0.9%)

Compiler: Compiled 3472 to 1348 computations (61.2% saved)

prune20.0ms (0.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	126	4	130

Error

Counts

130 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(.f64 (+.f64 x 1) (.f64 x x))
✓	0.0b	(.f64 x (+.f64 x (.f64 x x)))
✓	49.9b	(.f64 x (.f64 (.f64 (.f64 x x) (.f64 x x)) (+.f64 (/.f64 1 (.f64 x x)) (/.f64 (/.f64 1 x) (*.f64 x x)))))
✓	1.8b	(*.f64 x x)

Compiler

Compiled 44 to 22 computations (50% saved)

regimes8.0ms (0.2%)

Accuracy

Total -51.7b remaining (-440919%)

Threshold costs -51.7b (-440919%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 x (+.f64 x (.f64 x x)))

Calls

2 calls:

4.0ms	x
2.0ms	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Results

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

Compiler

Compiled 62 to 23 computations (62.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 12 to 6 computations (50% saved)

soundness48.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

10×	`rational.json-simplify-2`
6×	`rational.json-simplify-1`
4×	`rational.json-simplify-47`
4×	`rational.json-simplify-54`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	12	19
2	16	19
3	20	19
4	25	19
5	27	19

Stop Event

1×

saturated

Compiler

Compiled 17 to 6 computations (64.7% saved)

end50.0ms (1.2%)

Compiler: Compiled 11 to 4 computations (63.6% saved)

Details

analyze0.0ms (0%)

sample2.5s (59.8%)

preprocess12.0ms (0.3%)

simplify26.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.2%)

series3.0ms (0.1%)

rewrite164.0ms (4%)

simplify277.0ms (6.7%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite99.0ms (2.4%)

simplify221.0ms (5.4%)

eval26.0ms (0.6%)

prune25.0ms (0.6%)

localize8.0ms (0.2%)

localize43.0ms (1.1%)

series3.0ms (0.1%)

rewrite166.0ms (4%)

simplify115.0ms (2.8%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite83.0ms (2%)

simplify189.0ms (4.6%)

eval36.0ms (0.9%)

prune20.0ms (0.5%)

regimes8.0ms (0.2%)

simplify2.0ms (0.1%)

soundness48.0ms (1.2%)

end50.0ms (1.2%)

Profiling