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 6 to 4 computations (33.3% saved)

sample680.0ms (40.2%)

Results

662.0ms

8256×

body

256

valid

Bogosity

preprocess2.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(acosh.f64 x)

Outputs
(acosh.f64 x)

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

62×	`rational.json-simplify-31`
36×	`rational.json-simplify-2`
18×	`rational.json-simplify-27`
18×	`rational.json-simplify-9`
12×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	21	27
3	29	27
4	39	27
5	49	27
6	63	27
7	75	27
8	88	27
9	105	27
10	111	27

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

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

eval0.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (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

30.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize15.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	0.2b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	27.9b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series3.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite8.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

44×	`rational.json-simplify-2`
42×	`bool.json-1`
36×	`rational.json-1`
36×	`rational.json-2`
34×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	50	67
2	88	67
3	113	67
4	137	67
5	153	67
6	162	67
7	169	67

Stop Event

1×

saturated

Counts

3 → 10

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))))

Outputs

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

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

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

simplify166.0ms (9.8%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-27`
1128×	`rational.json-simplify-1`
1126×	`rational.json-simplify-29`
924×	`rational.json-simplify-33`
874×	`rational.json-simplify-34`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1910
1	250	1910
2	484	1890
3	998	1890
4	2094	1890
5	4066	1890
6	4481	1890
7	4634	1890
8	4772	1890
9	4810	1890
10	4952	1890
11	5403	1890
12	5658	1890
13	5764	1890
14	5996	1890
15	6009	1890
16	6009	1890

Stop Event

1×

saturated

Counts

46 → 128

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1)
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 1)

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 -1)) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (+.f64 (sqrt.f64 -1) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (*.f64 (/.f64 1 x) -1/2))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 (/.f64 1 x) -1/2)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (+.f64 x (.f64 (/.f64 1 x) -1/2)) (.f64 (/.f64 1 (pow.f64 x 3)) -1/8))
(+.f64 (+.f64 x (.f64 (/.f64 1 x) -1/2)) (.f64 -1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (-.f64 x (.f64 1/2 (/.f64 1 x))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (-.f64 (-.f64 x (.f64 1/16 (/.f64 1 (pow.f64 x 5)))) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (*.f64 (/.f64 1 x) -1/2))
(-.f64 (+.f64 x (.f64 (/.f64 1 x) -1/2)) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 1 (pow.f64 x 5)) -1/16)))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1 x))
(-.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) x))
(-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 x (.f64 (/.f64 1 (pow.f64 x 3)) -1/8)))
(-.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 x (.f64 -1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (-.f64 x (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (-.f64 (*.f64 1/8 (/.f64 1 (pow.f64 x 3))) x)))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (/.f64 x (sqrt.f64 -1)) (+.f64 (log.f64 (sqrt.f64 -1)) (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1))) (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (*.f64 (/.f64 1 (pow.f64 x 4)) -3/32))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (-.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -3/32) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -3/32) (.f64 (/.f64 1 (pow.f64 x 6)) -5/96)))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -1/2)))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (log.f64 -1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 3/32 (/.f64 1 (pow.f64 x 4)))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))) (log.f64 -1/2)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 -1/2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 -1/2) (+.f64 (*.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (*.f64 5/96 (/.f64 1 (pow.f64 x 6))) (log.f64 -1/2)))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (sqrt.f64 -1) (+.f64 x (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) x) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 x (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (+.f64 (sqrt.f64 -1) x) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (sqrt.f64 -1) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) -1/2) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2)) (*.f64 (/.f64 1 (pow.f64 x 3)) -1/8))
(+.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2)) (*.f64 -1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))))
(-.f64 (-.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(+.f64 (.f64 x 2) (-.f64 (-.f64 (.f64 (/.f64 1 x) -1/2) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 x 2) (-.f64 (.f64 (/.f64 1 x) -1/2) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 (pow.f64 x 5)) -1/16))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(+.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 (/.f64 1 (pow.f64 x 5)) -1/16)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (-.f64 (.f64 1/2 (/.f64 1 x)) (.f64 -1/8 (/.f64 1 (pow.f64 x 3)))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(+.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 0)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 1 (sqrt.f64 (+.f64 -1 (.f64 x x))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)
(.f64 1 (sqrt.f64 (+.f64 -1 (.f64 x x))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (*.f64 x x))))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (.f64 x x))))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) 1)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 -1 (.f64 x x))))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 -1 (.f64 x x)))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) 1)
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 -1 (.f64 x x)))))

eval49.0ms (2.9%)

Compiler: Compiled 2556 to 2150 computations (15.9% saved)

prune18.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	5	129

Error

0.0b

Counts

129 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
▶	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.3b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
✓	30.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.6b	(log.f64 (+.f64 x x))

Compiler

Compiled 41 to 32 computations (22% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series42.0ms (2.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(log.f64 (+.f64 x x))
14.0ms	x	@	-inf	(log.f64 (+.f64 x x))
10.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite9.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

22×	`bool.json-1`
18×	`rational.json-simplify-2`
16×	`rational.json-1`
16×	`rational.json-2`
16×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	28	11
2	55	11
3	64	11

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

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

Outputs

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

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`rational.json-simplify-1`
6×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	344
1	32	344

Stop Event

1×

saturated

Counts

16 → 7

Calls

Call 1

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

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

localize14.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 1 x))
✓	0.2b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite11.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

64×	`rational.json-simplify-2`
58×	`bool.json-1`
44×	`rational.json-1`
44×	`rational.json-simplify-31`
44×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	57	42
2	102	42
3	144	42
4	165	42
5	187	42
6	209	42
7	232	42
8	233	42

Stop Event

1×

saturated

Counts

2 → 9

Calls

Call 1

Inputs
(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
(*.f64 1/2 (/.f64 1 x))

Outputs

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

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

simplify117.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational.json-simplify-27`
1224×	`rational.json-simplify-29`
1162×	`rational.json-simplify-1`
1000×	`rational.json-simplify-41`
968×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	985
1	151	985
2	316	985
3	734	985
4	1882	985
5	4491	985
6	4930	985
7	5081	985
8	5195	985
9	5233	985
10	5513	985
11	6317	985
12	6522	985
13	6632	985
14	6792	985
15	6802	985
16	6802	985

Stop Event

1×

saturated

Counts

33 → 59

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(+.f64 (log.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2))))
(.f64 1 (log.f64 (+.f64 (.f64 x 2) (*.f64 (/.f64 1 x) -1/2))))
(.f64 (log.f64 (+.f64 (.f64 x 2) (*.f64 (/.f64 1 x) -1/2))) 1)
(+.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(+.f64 0 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(-.f64 0 (*.f64 (/.f64 1 x) -1/2))
(neg.f64 (*.f64 (/.f64 1 x) -1/2))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (log.f64 -1/2) (.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 x))) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (.f64 -8 (pow.f64 x 4))) (.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (.f64 (log.f64 (/.f64 1 x)) 1))
(-.f64 (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (.f64 1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 2) (*.f64 (/.f64 1 (pow.f64 x 2)) -1/4))))
(+.f64 (-.f64 (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (.f64 (log.f64 (/.f64 1 x)) 1)) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/32))
(+.f64 (-.f64 (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (.f64 1 (log.f64 (/.f64 1 x)))) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/32))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (log.f64 2) (+.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 (/.f64 1 (pow.f64 x 6)) -1/192)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (log.f64 -2) (-.f64 (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/32))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (log.f64 -2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 (/.f64 1 (pow.f64 x 4)) -1/32))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 (/.f64 1 (pow.f64 x 6)) -1/192)) (+.f64 (log.f64 -2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4))))
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(+.f64 (log.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2))) 0)
(+.f64 (log.f64 (+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 1 x)))) 0)
(+.f64 0 (log.f64 (+.f64 (.f64 x 2) (.f64 (/.f64 1 x) -1/2))))
(+.f64 (log.f64 (+.f64 (.f64 x 2) (.f64 -1/2 (/.f64 1 x)))) 0)
(.f64 1 (log.f64 (+.f64 (.f64 x 2) (*.f64 (/.f64 1 x) -1/2))))
(.f64 1 (log.f64 (+.f64 (.f64 x 2) (*.f64 -1/2 (/.f64 1 x)))))
(.f64 (log.f64 (+.f64 (.f64 x 2) (*.f64 (/.f64 1 x) -1/2))) 1)
(.f64 1 (log.f64 (+.f64 (.f64 x 2) (*.f64 -1/2 (/.f64 1 x)))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(*.f64 (/.f64 1 x) 1/2)
(+.f64 0 (*.f64 1/2 (/.f64 1 x)))
(*.f64 (/.f64 1 x) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(*.f64 (/.f64 1 x) 1/2)
(-.f64 0 (*.f64 (/.f64 1 x) -1/2))
(*.f64 (/.f64 1 x) 1/2)
(neg.f64 (*.f64 (/.f64 1 x) -1/2))
(*.f64 (/.f64 1 x) 1/2)

localize21.0ms (1.2%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize16.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.2b	(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series44.0ms (2.6%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	x	@	-inf	(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
17.0ms	x	@	0	(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
5.0ms	x	@	inf	(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
0.0ms	x	@	0	(log.f64 (/.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (/.f64 1 x))

rewrite8.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

30×	`bool.json-1`
24×	`rational.json-simplify-2`
24×	`rational.json-simplify-1`
22×	`rational.json-1`
22×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	53	38
2	80	38
3	85	38

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

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

Outputs

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

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	470
1	35	470

Stop Event

1×

saturated

Counts

22 → 11

Calls

Call 1

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

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

eval30.0ms (1.8%)

Compiler: Compiled 1390 to 1183 computations (14.9% saved)

prune10.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	77	5	82

Error

0.0b

Counts

82 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.3b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	30.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.6b	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize11.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite8.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

50×	`rational.json-simplify-2`
50×	`bool.json-1`
38×	`rational.json-1`
38×	`rational.json-2`
32×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	49	23
2	95	23
3	136	23
4	152	23
5	162	23
6	177	23
7	190	23
8	191	23

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

Inputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Outputs

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

simplify110.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1810×	`rational.json-simplify-27`
1228×	`rational.json-simplify-29`
1200×	`rational.json-simplify-1`
1014×	`rational.json-simplify-41`
988×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	812
1	138	812
2	298	812
3	715	812
4	1869	812
5	4490	812
6	4931	812
7	5082	812
8	5216	812
9	5258	812
10	5558	812
11	6383	812
12	6575	812
13	6685	812
14	6861	812
15	6874	812
16	6874	812

Stop Event

1×

saturated

Counts

16 → 48

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))))
(.f64 (log.f64 (-.f64 (.f64 x 2) (/.f64 1/2 x))) 1)
(.f64 1 (log.f64 (-.f64 (.f64 x 2) (/.f64 1/2 x))))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (log.f64 -1/2) (.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (*.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (log.f64 -1/2) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))) (.f64 -8 (pow.f64 x 4))) (.f64 -64/3 (pow.f64 x 6))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 (/.f64 1 (pow.f64 x 2)) -1/4)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(-.f64 (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/32 (/.f64 1 (pow.f64 x 4)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/32))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (-.f64 (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (-.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 (/.f64 1 (pow.f64 x 6)) -1/192)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/4) (+.f64 (log.f64 -2) (*.f64 (/.f64 1 (pow.f64 x 4)) -1/32))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (-.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/192 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (+.f64 (.f64 (/.f64 1 (pow.f64 x 4)) -1/32) (.f64 (/.f64 1 (pow.f64 x 6)) -1/192)))
(+.f64 (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))) 0)
(+.f64 0 (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))))
(+.f64 (log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x))) 0)
(.f64 (log.f64 (-.f64 (.f64 x 2) (/.f64 1/2 x))) 1)
(.f64 1 (log.f64 (-.f64 (.f64 x 2) (/.f64 1/2 x))))
(.f64 1 (log.f64 (-.f64 (.f64 x 2) (/.f64 1/2 x))))

localize9.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series6.0ms (0.4%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite5.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

24×	`bool.json-1`
20×	`rational.json-simplify-1`
18×	`rational.json-1`
18×	`rational.json-2`
18×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	37	15
2	63	15
3	67	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))

Outputs

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

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

16×	`rational.json-simplify-1`
6×	`rational.json-simplify-2`
4×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	298
1	30	298
2	34	298
3	36	298

Stop Event

1×

saturated

Counts

10 → 5

Calls

Call 1

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

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

eval21.0ms (1.3%)

Compiler: Compiled 1136 to 972 computations (14.4% saved)

prune7.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	53	5	58

Error

0.0b

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
✓	0.3b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	30.0b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.6b	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes17.0ms (1%)

Counts

7 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))

Outputs
(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Calls

3 calls:

5.0ms	x
5.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.3b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 71 to 52 computations (26.8% saved)

regimes4.0ms (0.2%)

Accuracy

Total -62.5b remaining (-11255.3%)

Threshold costs -62.5b (-11255.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (/.f64 1/2 x))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.6b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness178.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

1484×	`rational.json-simplify-27`
1128×	`rational.json-simplify-1`
1126×	`rational.json-simplify-29`
924×	`rational.json-simplify-33`
874×	`rational.json-simplify-34`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1910
1	250	1910
2	484	1890
3	998	1890
4	2094	1890
5	4066	1890
6	4481	1890
7	4634	1890
8	4772	1890
9	4810	1890
10	4952	1890
11	5403	1890
12	5658	1890
13	5764	1890
14	5996	1890
15	6009	1890
16	6009	1890

Stop Event

1×

saturated

Compiler

Compiled 21 to 17 computations (19% saved)

end15.0ms (0.9%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

Details

analyze0.0ms (0%)

sample680.0ms (40.2%)

preprocess2.0ms (0.1%)

simplify6.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize15.0ms (0.9%)

series3.0ms (0.2%)

rewrite8.0ms (0.5%)

simplify166.0ms (9.8%)

eval49.0ms (2.9%)

prune18.0ms (1.1%)

localize4.0ms (0.3%)

series42.0ms (2.5%)

rewrite9.0ms (0.5%)

simplify6.0ms (0.3%)

localize14.0ms (0.8%)

series2.0ms (0.1%)

rewrite11.0ms (0.7%)

simplify117.0ms (6.9%)

localize21.0ms (1.2%)

localize16.0ms (0.9%)

series44.0ms (2.6%)

rewrite8.0ms (0.5%)

simplify6.0ms (0.4%)

eval30.0ms (1.8%)

prune10.0ms (0.6%)

localize11.0ms (0.6%)

series0.0ms (0%)

rewrite8.0ms (0.5%)

simplify110.0ms (6.5%)

localize9.0ms (0.5%)

series6.0ms (0.4%)

rewrite5.0ms (0.3%)

simplify6.0ms (0.4%)

eval21.0ms (1.3%)

prune7.0ms (0.4%)

regimes17.0ms (1%)

regimes4.0ms (0.2%)

simplify2.0ms (0.1%)

soundness178.0ms (10.6%)

end15.0ms (0.9%)

Profiling