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 13 to 8 computations (38.5% saved)

sample1.4s (58.6%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess9.0ms (0.4%)

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	5	13
1	8	13
2	10	13
3	12	13
4	16	13
5	16	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify29.0ms (1.2%)

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	5	13
1	8	13
2	10	13
3	12	13
4	16	13
5	16	13

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 6 to 3 computations (50% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 3 computations (50% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite120.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`rational.json-5`
1292×	`exponential.json-3`
1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
1	45	13
2	168	13
3	622	13
4	2568	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

Outputs

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

simplify261.0ms (11%)

Algorithm

1×	egg-herbie

Rules

1082×	`rational.json-simplify-111`
794×	`rational.json-simplify-1`
658×	`rational.json-simplify-2`
564×	`rational.json-simplify-55`
552×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	905
1	202	905
2	428	905
3	1327	769
4	4372	769
5	7545	769

Stop Event

1×	node limit

Counts

51 → 49

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

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

eval15.0ms (0.6%)

Compiler: Compiled 659 to 252 computations (61.8% saved)

prune74.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite112.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`rational.json-5`
1216×	`exponential.json-3`
1216×	`rational.json-1`
1216×	`rational.json-2`
1216×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	52	13
2	167	13
3	613	13
4	2370	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

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

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

Outputs

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

simplify257.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-111`
756×	`rational.json-simplify-2`
748×	`rational.json-simplify-104`
628×	`rational.json-simplify-1`
596×	`rational.json-simplify-79`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	249
1	50	249
2	118	249
3	361	249
4	1431	249
5	3778	249
6	5852	249
7	7705	249

Stop Event

1×	node limit

Counts

21 → 14

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

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

eval5.0ms (0.2%)

Compiler: Compiled 98 to 68 computations (30.6% saved)

prune4.0ms (0.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	14	3	17

Error

Counts

17 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes19.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
5.0ms	(+.f64 x (*.f64 x x))

Results

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

Compiler

Compiled 20 to 10 computations (50% saved)

regimes6.0ms (0.3%)

Accuracy

Total -1.8b remaining (-11285.8%)

Threshold costs -1.8b (-11285.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.0b	1	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 8 computations (42.9% saved)

soundness0.0ms (0%)

end40.0ms (1.7%)

Compiler: Compiled 12 to 6 computations (50% saved)

Details

analyze0.0ms (0%)

sample1.4s (58.6%)

preprocess9.0ms (0.4%)

simplify29.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

series1.0ms (0.1%)

rewrite120.0ms (5.1%)

simplify261.0ms (11%)

eval15.0ms (0.6%)

prune74.0ms (3.1%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite112.0ms (4.7%)

simplify257.0ms (10.9%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes19.0ms (0.8%)

regimes6.0ms (0.3%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end40.0ms (1.7%)

Profiling