Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample536.0ms (64.3%)

Results

525.0ms	8256×	body	256	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess5.0ms (0.6%)

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
(atanh.f64 x)

Outputs
(atanh.f64 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify6.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

30×	`rational.json-simplify-2`
22×	`rational.json-simplify-9`
20×	`rational.json-simplify-31`
18×	`rational.json-simplify-27`
12×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	18	29
2	28	29
3	38	29
4	48	29
5	58	29
6	70	29
7	79	29
8	87	29
9	89	29

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize15.0ms (1.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
✓	0.0b	(/.f64 (*.f64 2 x) (-.f64 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
0.0ms	x	@	inf	(/.f64 (*.f64 2 x) (-.f64 1 x))
0.0ms	x	@	0	(/.f64 (*.f64 2 x) (-.f64 1 x))

rewrite9.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

54×	`rational.json-simplify-2`
44×	`bool.json-1`
34×	`rational.json-1`
34×	`rational.json-2`
30×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	48	42
2	91	42
3	125	42
4	156	42
5	171	42
6	176	42
7	190	42
8	196	42

Stop Event

1×

saturated

Counts

2 → 13

Calls

Call 1

Inputs
(/.f64 (*.f64 2 x) (-.f64 1 x))
(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 2 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (.f64 2 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 2 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (.f64 2 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 2 x) (+.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 2 x) (+.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (.f64 2 x) (-.f64 1 x)) (/.f64 (*.f64 2 x) (-.f64 1 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))))))

simplify51.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

422×	`rational.json-simplify-1`
366×	`rational.json-simplify-2`
362×	`rational.json-simplify-27`
356×	`rational.json-simplify-31`
280×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	1111
1	147	1111
2	245	1111
3	396	1111
4	611	1111
5	886	1111
6	1262	1111
7	1599	1111
8	1764	1111
9	1895	1111
10	1945	1111
11	1952	1111

Stop Event

1×

saturated

Counts

37 → 59

Calls

Call 1

Inputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 0)
(+.f64 0 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(-.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 0)
(-.f64 0 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(.f64 1 (/.f64 (.f64 2 x) (-.f64 1 x)))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 1)
(.f64 -1 (/.f64 (.f64 2 x) (+.f64 -1 x)))
(.f64 (/.f64 (.f64 2 x) (+.f64 -1 x)) -1)
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(+.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 0)
(+.f64 0 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 1)

Outputs
(*.f64 2 x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 x)))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 2 (pow.f64 x 3))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 4)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (.f64 2 (pow.f64 x 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 -2 (*.f64 2 (/.f64 1 x)))
(+.f64 -2 (*.f64 (/.f64 1 x) -2))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 -2 (-.f64 (.f64 (/.f64 1 x) -2) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (.f64 (/.f64 1 (pow.f64 x 2)) -2))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 -2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 -2 (-.f64 (-.f64 (.f64 (/.f64 1 x) -2) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (.f64 (/.f64 1 (pow.f64 x 2)) -2)) (*.f64 (/.f64 1 (pow.f64 x 3)) -2))
(-.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
-2
(neg.f64 (+.f64 2 (*.f64 2 (/.f64 1 x))))
(-.f64 -2 (*.f64 2 (/.f64 1 x)))
(+.f64 -2 (*.f64 (/.f64 1 x) -2))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2))))))
(-.f64 -2 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 -2 (-.f64 (.f64 (/.f64 1 x) -2) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (.f64 (/.f64 1 (pow.f64 x 2)) -2))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))))
(-.f64 -2 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))))
(-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 (-.f64 -2 (.f64 2 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3))))
(+.f64 -2 (-.f64 (-.f64 (.f64 (/.f64 1 x) -2) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (+.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (.f64 (/.f64 1 (pow.f64 x 2)) -2)) (*.f64 (/.f64 1 (pow.f64 x 3)) -2))
(-.f64 (+.f64 -2 (.f64 (/.f64 1 x) -2)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 (pow.f64 x 3)))))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 2/3 (pow.f64 x 3)))
(+.f64 (.f64 2 x) (.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (.f64 2/7 (pow.f64 x 7)) (+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (.f64 2/5 (pow.f64 x 5)))))
(+.f64 (+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/5 (pow.f64 x 5)))) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 2 x) (+.f64 (+.f64 (.f64 2/7 (pow.f64 x 7)) (.f64 (pow.f64 x 3) 2/3)) (.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 2/7 (pow.f64 x 7)))))
(+.f64 (.f64 2 x) (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2/7 (pow.f64 x 7)))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 2 (/.f64 1 x)))
(+.f64 (*.f64 2 (/.f64 1 x)) (log.f64 -1))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (.f64 2 (/.f64 1 x)) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 0)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(+.f64 0 (/.f64 (*.f64 2 x) (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(-.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)) 0)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(-.f64 0 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(.f64 1 (/.f64 (.f64 2 x) (-.f64 1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(.f64 (/.f64 (.f64 2 x) (-.f64 1 x)) 1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(.f64 -1 (/.f64 (.f64 2 x) (+.f64 -1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(.f64 (/.f64 (.f64 2 x) (+.f64 -1 x)) -1)
(/.f64 (*.f64 2 x) (-.f64 1 x))
(neg.f64 (/.f64 (*.f64 2 x) (+.f64 -1 x)))
(/.f64 (*.f64 2 x) (-.f64 1 x))
(+.f64 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))) 0)
(+.f64 0 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(+.f64 0 (log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x))))
(.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))) 1)
(.f64 1 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

eval20.0ms (2.4%)

Compiler: Compiled 1006 to 863 computations (14.2% saved)

prune12.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	5	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Error

Counts

60 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f64 1/2 (+.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)) (*.f64 2/7 (pow.f64 x 7))))
▶	0.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)))
▶	0.3b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 (pow.f64 x 3) 2/3)))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	1.6b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 143 to 121 computations (15.4% saved)

localize40.0ms (4.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 3)
✓	0.1b	(*.f64 2/7 (pow.f64 x 7))
✓	0.1b	(*.f64 2/5 (pow.f64 x 5))
✓	0.1b	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 105 to 84 computations (20% saved)

series4.0ms (0.5%)

Counts

4 → 12

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(pow.f64 x 3)
1.0ms	x	@	0	(*.f64 2/7 (pow.f64 x 7))
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) 2/3)
0.0ms	x	@	0	(*.f64 2/5 (pow.f64 x 5))
0.0ms	x	@	inf	(pow.f64 x 3)

rewrite7.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`bool.json-1`
28×	`rational.json-simplify-2`
22×	`rational.json-1`
22×	`rational.json-2`
22×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	67	46
2	97	46
3	104	46

Stop Event

1×

saturated

Counts

4 → 10

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) 2/3)
(*.f64 2/5 (pow.f64 x 5))
(*.f64 2/7 (pow.f64 x 7))
(pow.f64 x 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 x 3) 2/3) (.f64 (pow.f64 x 3) 2/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/5 (pow.f64 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/5 (pow.f64 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 2/5 (pow.f64 x 5)) (.f64 2/5 (pow.f64 x 5)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2/7 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2/7 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 2/7 (pow.f64 x 7)) (.f64 2/7 (pow.f64 x 7)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 x 3) (pow.f64 x 3))))))

simplify6.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	322
1	30	322

Stop Event

1×

saturated

Counts

22 → 12

Calls

Call 1

Inputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 x 3) 2/3) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (pow.f64 x 3) 0)
(+.f64 0 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))

Outputs
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (*.f64 (pow.f64 x 3) 2/3) 0)
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) 2/3))
(+.f64 (*.f64 2/3 (pow.f64 x 3)) 0)
(+.f64 (*.f64 2/5 (pow.f64 x 5)) 0)
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(+.f64 0 (*.f64 2/5 (pow.f64 x 5)))
(+.f64 (*.f64 2/7 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(+.f64 0 (*.f64 2/7 (pow.f64 x 7)))
(+.f64 (pow.f64 x 3) 0)
(+.f64 0 (pow.f64 x 3))
(+.f64 (pow.f64 x 3) 0)
(*.f64 (pow.f64 x 3) 1)
(*.f64 1 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1)

localize4.0ms (0.5%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize8.0ms (0.9%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

localize14.0ms (1.6%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize25.0ms (3.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 x 3)
	0.1b	(*.f64 2/5 (pow.f64 x 5))
	0.1b	(*.f64 (pow.f64 x 3) 2/3)

Compiler

Compiled 68 to 54 computations (20.6% saved)

eval12.0ms (1.4%)

Compiler: Compiled 589 to 495 computations (16% saved)

prune6.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	30	6	36

Error

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(.f64 1/2 (+.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)) (*.f64 2/7 (pow.f64 x 7))))
✓	0.1b	(.f64 1/2 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)))
✓	0.3b	(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 (pow.f64 x 3) 2/3)))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	1.6b	(.f64 1/2 (log1p.f64 (.f64 2 x)))
✓	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 77 to 65 computations (15.6% saved)

regimes21.0ms (2.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (+.f64 (.f64 2 x) (*.f64 (pow.f64 x 3) 2/3)))
(.f64 1/2 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)))
(.f64 1/2 (+.f64 (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.f64 (pow.f64 x 3) 2/3)) (*.f64 2/7 (pow.f64 x 7))))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))

Calls

4 calls:

5.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
5.0ms	(/.f64 (*.f64 2 x) (-.f64 1 x))
5.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))`
0.0b	1	`(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))`
0.0b	1	`(/.f64 (*.f64 2 x) (-.f64 1 x))`

Compiler

Compiled 102 to 83 computations (18.6% saved)

regimes4.0ms (0.4%)

Accuracy

Total -62.4b remaining (-3825.8%)

Threshold costs -62.4b (-3825.8%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 1/2 (log1p.f64 -2))
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Outputs
(.f64 1/2 (log1p.f64 (.f64 2 x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify3.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))

Outputs
(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
(.f64 1/2 (log1p.f64 (.f64 2 x)))
(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 23 to 20 computations (13% saved)

soundness0.0ms (0%)

end21.0ms (2.6%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

Details

analyze3.0ms (0.3%)

sample536.0ms (64.3%)

preprocess5.0ms (0.6%)

simplify6.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize15.0ms (1.8%)

series2.0ms (0.3%)

rewrite9.0ms (1.1%)

simplify51.0ms (6.1%)

eval20.0ms (2.4%)

prune12.0ms (1.4%)

localize40.0ms (4.7%)

series4.0ms (0.5%)

rewrite7.0ms (0.8%)

simplify6.0ms (0.7%)

localize4.0ms (0.5%)

localize8.0ms (0.9%)

localize14.0ms (1.6%)

localize25.0ms (3.1%)

eval12.0ms (1.4%)

prune6.0ms (0.7%)

regimes21.0ms (2.6%)

regimes4.0ms (0.4%)

simplify3.0ms (0.3%)

soundness0.0ms (0%)

end21.0ms (2.6%)

Profiling