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
66.7%	50%	25%	0%	25%	0%	0%	4
83.3%	62.5%	12.5%	0%	25%	0%	0%	5
91.7%	68.7%	6.2%	0%	25%	0%	0%	6
95.8%	71.8%	3.1%	0%	25%	0%	0%	7
97.9%	73.4%	1.6%	0%	25%	0%	0%	8
99%	74.2%	0.8%	0%	25%	0%	0%	9
99.5%	74.6%	0.4%	0%	25%	0%	0%	10
99.7%	74.8%	0.2%	0%	25%	0%	0%	11
99.9%	74.9%	0.1%	0%	25%	0%	0%	12

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample2.1s (45.2%)

Results

1.9s	8256×	body	256	valid
0.0ms	2×	body	256	infinite

Bogosity

preprocess10.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-16`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	9	13
2	10	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-16`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	9	13
2	10	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 x (-.f64 x 1))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite362.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1220×	`rational.json-5`
1218×	`exponential.json-3`
1218×	`rational.json-1`
1218×	`rational.json-2`
1218×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	53	13
2	174	13
3	612	13
4	2371	13

Stop Event

1×	node limit

Counts

1 → 9

Calls

Call 1

Inputs
(*.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))))))))

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))))))))

simplify305.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

922×	`rational.json-simplify-111`
756×	`rational.json-simplify-2`
742×	`rational.json-simplify-104`
618×	`rational.json-simplify-1`
594×	`rational.json-simplify-79`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	309
1	53	289
2	120	289
3	359	289
4	1430	289
5	3766	289
6	5800	289
7	7676	289

Stop Event

1×	node limit

Counts

21 → 15

Calls

Call 1

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

eval3.0ms (0.1%)

Compiler: Compiled 105 to 73 computations (30.5% saved)

prune4.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

Counts

16 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (neg.f64 x) (pow.f64 x 2))
✓	0.0b	(*.f64 x (-.f64 x 1))
▶	25.2b	(neg.f64 x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

localize2.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize43.0ms (0.9%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (neg.f64 x) (pow.f64 x 2))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(+.f64 (neg.f64 x) (pow.f64 x 2))
0.0ms	x	@	0	(+.f64 (neg.f64 x) (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (neg.f64 x) (pow.f64 x 2))

rewrite95.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`rational.json-1`
1418×	`rational.json-2`
1418×	`rational.json-3`
1416×	`rational.json-5`
1414×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	70	17
2	225	17
3	752	17
4	2877	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

Inputs
(+.f64 (neg.f64 x) (pow.f64 x 2))

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

Outputs

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

simplify296.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1560×	`rational.json-simplify-50`
1300×	`rational.json-simplify-43`
1238×	`rational.json-simplify-54`
1162×	`rational.json-simplify-58`
786×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	750
1	203	578
2	505	578
3	2645	578
4	6539	578

Stop Event

1×	node limit

Counts

46 → 39

Calls

Call 1

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

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

eval19.0ms (0.4%)

Compiler: Compiled 529 to 371 computations (29.9% saved)

prune16.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (pow.f64 x 2) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
✓	25.2b	(neg.f64 x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 2) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite118.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`rational.json-5`
1068×	`exponential.json-3`
1068×	`rational.json-1`
1068×	`rational.json-2`
1068×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	49	13
2	164	13
3	569	13
4	2104	13

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(-.f64 (pow.f64 x 2) x)

Outputs

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

simplify339.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

1458×	`rational.json-simplify-49`
1262×	`rational.json-simplify-2`
1106×	`rational.json-simplify-50`
904×	`rational.json-simplify-43`
878×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	491
1	86	471
2	279	471
3	1563	471
4	5431	471
5	7819	471

Stop Event

1×	node limit

Counts

35 → 29

Calls

Call 1

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

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

eval10.0ms (0.2%)

Compiler: Compiled 450 to 306 computations (32% saved)

prune11.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Error

Counts

32 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (pow.f64 x 2) x)
✓	0.0b	(*.f64 x (-.f64 x 1))
✓	25.2b	(neg.f64 x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(-.f64 (pow.f64 x 2) x)

Calls

2 calls:

5.0ms	x
4.0ms	(*.f64 x (-.f64 x 1))

Results

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

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes17.0ms (0.4%)

Accuracy

Total -25.2b remaining (-129169.1%)

Threshold costs -25.2b (-129169.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x (-.f64 x 1))

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

Calls

2 calls:

12.0ms	(*.f64 x (-.f64 x 1))
4.0ms	x

Results

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

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	31

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (pow.f64 x 2) x)
(*.f64 x (-.f64 x 1))
(neg.f64 x)

Outputs
(-.f64 (pow.f64 x 2) x)
(*.f64 x (-.f64 x 1))
(neg.f64 x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

soundness757.0ms (16.6%)

Algorithm

2×	egg-herbie

Rules

1560×	`rational.json-simplify-50`
1300×	`rational.json-simplify-43`
1238×	`rational.json-simplify-54`
1162×	`rational.json-simplify-58`
922×	`rational.json-simplify-111`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	309
1	53	289
2	120	289
3	359	289
4	1430	289
5	3766	289
6	5800	289
7	7676	289
0	77	750
1	203	578
2	505	578
3	2645	578
4	6539	578

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 209 to 165 computations (21.1% saved)

end26.0ms (0.6%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

Details

analyze4.0ms (0.1%)

sample2.1s (45.2%)

preprocess10.0ms (0.2%)

simplify29.0ms (0.6%)

eval1.0ms (0%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

series2.0ms (0%)

rewrite362.0ms (7.9%)

simplify305.0ms (6.7%)

eval3.0ms (0.1%)

prune4.0ms (0.1%)

localize2.0ms (0.1%)

localize43.0ms (0.9%)

series1.0ms (0%)

rewrite95.0ms (2.1%)

simplify296.0ms (6.5%)

eval19.0ms (0.4%)

prune16.0ms (0.4%)

localize8.0ms (0.2%)

series0.0ms (0%)

rewrite118.0ms (2.6%)

simplify339.0ms (7.4%)

eval10.0ms (0.2%)

prune11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes17.0ms (0.4%)

simplify3.0ms (0.1%)

soundness757.0ms (16.6%)

end26.0ms (0.6%)

Profiling