Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.6%	25.4%	0%	0%	0%	0
0%	0%	74.6%	25.4%	0%	0%	0%	1
50%	37.3%	37.3%	25.4%	0%	0%	0%	2
66.7%	37.3%	18.7%	25.4%	18.7%	0%	0%	3
83.3%	46.7%	9.3%	25.4%	18.7%	0%	0%	4
90.9%	46.7%	4.7%	25.4%	23.3%	0%	0%	5
95.5%	49%	2.3%	25.4%	23.3%	0%	0%	6
97.7%	49%	1.2%	25.4%	24.5%	0%	0%	7
98.8%	49.6%	0.6%	25.4%	24.5%	0%	0%	8
99.4%	49.9%	0.3%	25.4%	24.5%	0%	0%	9
99.7%	49.9%	0.1%	25.4%	24.6%	0%	0%	10
99.9%	49.9%	0.1%	25.4%	24.7%	0%	0%	11
99.9%	49.9%	0%	25.4%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.6s (73.5%)

Results

1.0s	4100×	body	1024	valid
278.0ms	2067×	body	512	valid
131.0ms	1648×	body	256	valid
122.0ms	441×	body	2048	valid
0.0ms	4×	body	256	infinite

Bogosity

preprocess4.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	10	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-1`
2×	`rational_best-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	10	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

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

57.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	57.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite11.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

14×	`rational_best-4`
14×	`rational_best-2`
14×	`rational_best-3`
14×	`rational_best-simplify-2`
14×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	70	11
3	77	11

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

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

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

Outputs

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

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

62×	`rational_best-simplify-1`
34×	`rational_best-simplify-43`
8×	`rational_best-simplify-2`
4×	`rational_best-simplify-4`
4×	`rational_best-simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	200
1	52	200
2	71	200
3	85	200
4	97	200
5	99	200

Stop Event

1×

saturated

Counts

12 → 17

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)

eval4.0ms (0.2%)

Compiler: Compiled 162 to 120 computations (25.9% saved)

prune4.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Error

0.0b

Counts

18 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.4b	(-.f64 (exp.f64 x) 1)
▶	0.9b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
▶	1.4b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
▶	1.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
	2.3b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

localize18.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	0.0b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
✓	0.0b	(*.f64 1/2 (pow.f64 x 2))
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0.1%)

Counts

4 → 9

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/2 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 1/2 (pow.f64 x 2))
0.0ms	x	@	-inf	(*.f64 1/6 (pow.f64 x 3))

rewrite15.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

30×	`rational_best-simplify-1`
26×	`rational_best-simplify-2`
22×	`rational_best-4`
22×	`rational_best-2`
22×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	86	82
2	126	82
3	137	82
4	138	82

Stop Event

1×

saturated

Counts

4 → 20

Calls

Call 1

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

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

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

40×	`rational_best-simplify-1`
30×	`rational_best-simplify-43`
18×	`rational_best-simplify-7`
16×	`rational_best-simplify-54`
12×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	545
1	50	545
2	70	545
3	87	545
4	99	545

Stop Event

1×

saturated

Counts

29 → 28

Calls

Call 1

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

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

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
	0.0b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
	0.0b	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite47.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

8×	`rational_best-4`
8×	`rational_best-2`
8×	`rational_best-3`
8×	`rational_best-simplify-2`
8×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	32	7
2	51	7

Stop Event

1×

saturated

Counts

1 → 6

Calls

Call 1

Inputs
(pow.f64 x 2)

Outputs

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

simplify10.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-5`
2×	`rational_best-simplify-4`
2×	`rational_best-simplify-2`
2×	`rational_best-simplify-1`
2×	`rational_best-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	13	42
2	17	42

Stop Event

1×

saturated

Counts

6 → 7

Calls

Call 1

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

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

localize25.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
✓	0.1b	(*.f64 1/24 (pow.f64 x 4))
	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 69 to 54 computations (21.7% saved)

series108.0ms (5%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
107.0ms	x	@	0	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))

rewrite17.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

74×	`rational_best-simplify-1`
52×	`rational_best-simplify-43`
46×	`rational_best-simplify-2`
44×	`rational_best-4`
44×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	118	99
2	173	99
3	229	99
4	268	99
5	270	99

Stop Event

1×

saturated

Counts

3 → 15

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)))))

simplify31.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

126×	`rational_best-simplify-43`
116×	`rational_best-simplify-1`
38×	`rational_best-simplify-54`
36×	`rational_best-simplify-7`
16×	`rational_best-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	1221
1	69	1221
2	120	1221
3	174	1221
4	217	1221
5	227	1221
6	227	1221

Stop Event

1×

saturated

Counts

39 → 31

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 0)
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 0)
(.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 3))))) 1)
(.f64 1 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 3))))))
(/.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)
(pow.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 0)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 0)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 3))))) 1)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(.f64 1 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 3))))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(/.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))
(pow.f64 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 3))))) 1)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/24 (pow.f64 x 4)))))

eval25.0ms (1.1%)

Compiler: Compiled 1155 to 919 computations (20.4% saved)

prune11.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	81	6	87

Error

0.0b

Counts

87 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.4b	(-.f64 (exp.f64 x) 1)
✓	0.9b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	1.4b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	1.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
▶	0.9b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
	2.3b	x

Compiler

Compiled 69 to 54 computations (21.7% saved)

localize32.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
	0.0b	(*.f64 1/2 (pow.f64 x 2))
	0.1b	(*.f64 1/24 (pow.f64 x 4))
	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 75 to 59 computations (21.3% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))

rewrite14.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

20×	`rational_best-simplify-2`
18×	`rational_best-simplify-1`
16×	`rational_best-4`
16×	`rational_best-2`
16×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	77	31
2	105	31
3	107	31

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)))))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

10×	`rational_best-simplify-2`
10×	`rational_best-simplify-7`
4×	`rational_best-simplify-49`
4×	`rational_best-simplify-1`
2×	`rational_best-simplify-5`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	194
1	25	194
2	35	194
3	37	194

Stop Event

1×

saturated

Counts

8 → 8

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/24 (pow.f64 x 4))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 0)
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)

Outputs
(*.f64 1/2 (pow.f64 x 2))
(*.f64 1/24 (pow.f64 x 4))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 0)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/24 (pow.f64 x 4)))

eval9.0ms (0.4%)

Compiler: Compiled 466 to 376 computations (19.3% saved)

prune9.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	23	6	29

Error

0.0b

Counts

29 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.4b	(-.f64 (exp.f64 x) 1)
✓	0.9b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	1.4b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	1.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
✓	0.9b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
	2.3b	x

Compiler

Compiled 69 to 54 computations (21.7% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	5	5
Total	6	6

Error

0.0b

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	57.4b	(-.f64 (exp.f64 x) 1)
✓	0.9b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	1.4b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	1.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
✓	0.9b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
	2.3b	x

Compiler

Compiled 69 to 54 computations (21.7% saved)

regimes12.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(-.f64 (exp.f64 x) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))

Outputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))

Calls

3 calls:

4.0ms	x
2.0ms	(exp.f64 x)
2.0ms	(-.f64 (exp.f64 x) 1)

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`(-.f64 (exp.f64 x) 1)`
0.9b	1	`(exp.f64 x)`

Compiler

Compiled 74 to 56 computations (24.3% saved)

regimes9.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`(-.f64 (exp.f64 x) 1)`
1.1b	1	`(exp.f64 x)`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes14.0ms (0.7%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
3.0ms	(-.f64 (exp.f64 x) 1)
3.0ms	(exp.f64 x)

Results

Error	Segments	Branch
0.4b	2	`x`
0.4b	2	`(-.f64 (exp.f64 x) 1)`
0.4b	2	`(exp.f64 x)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000510545	1.00065004845561

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes13.0ms (0.6%)

Accuracy

Total -57.8b remaining (-5123.7%)

Threshold costs -57.8b (-5123.7%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(-.f64 (exp.f64 x) 1)
3.0ms	(exp.f64 x)

Results

Error	Segments	Branch
1.1b	2	`x`
1.1b	2	`(-.f64 (exp.f64 x) 1)`
1.1b	2	`(exp.f64 x)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000510545	1.00065004845561

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	161

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(if (<=.f64 (exp.f64 x) 4505851427184181/4503599627370496) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) (-.f64 (exp.f64 x) 1))
(if (<=.f64 (exp.f64 x) 4505851427184181/4503599627370496) x (-.f64 (exp.f64 x) 1))
x

Outputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(if (<=.f64 (exp.f64 x) 4505851427184181/4503599627370496) (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) (-.f64 (exp.f64 x) 1))
(if (<=.f64 (exp.f64 x) 4505851427184181/4503599627370496) x (-.f64 (exp.f64 x) 1))
x

Compiler

Compiled 64 to 47 computations (26.6% saved)

soundness0.0ms (0%)

end48.0ms (2.2%)

Compiler: Compiled 60 to 42 computations (30% saved)

Details

analyze2.0ms (0.1%)

sample1.6s (73.5%)

preprocess4.0ms (0.2%)

simplify13.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series0.0ms (0%)

rewrite11.0ms (0.5%)

simplify15.0ms (0.7%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

localize18.0ms (0.8%)

series3.0ms (0.1%)

rewrite15.0ms (0.7%)

simplify17.0ms (0.8%)

localize7.0ms (0.3%)

series1.0ms (0%)

rewrite47.0ms (2.2%)

simplify10.0ms (0.5%)

localize25.0ms (1.1%)

series108.0ms (5%)

rewrite17.0ms (0.8%)

simplify31.0ms (1.5%)

eval25.0ms (1.1%)

prune11.0ms (0.5%)

localize32.0ms (1.5%)

series0.0ms (0%)

rewrite14.0ms (0.6%)

simplify12.0ms (0.5%)

eval9.0ms (0.4%)

prune9.0ms (0.4%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes12.0ms (0.5%)

regimes9.0ms (0.4%)

regimes14.0ms (0.7%)

bsearch0.0ms (0%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

soundness0.0ms (0%)

end48.0ms (2.2%)

Profiling