Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
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)

sample1.8s (54.5%)

Results

1.5s	8256×	body	256	valid
0.0ms	5×	body	256	invalid

Bogosity

preprocess8.0ms (0.3%)

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)

simplify151.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational.json-simplify-35`
1380×	`rational.json-simplify-2`
1344×	`rational.json-simplify-55`
868×	`rational.json-simplify-51`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	22	29
2	48	29
3	97	29
4	220	29
5	571	29
6	2154	29
7	3803	29
8	5517	29
9	6649	29
10	7552	29

Stop Event

1×	node limit

Counts

1 → 3

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

eval1.0ms (0%)

Compiler: Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.0b

Counts

4 → 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)

localize14.0ms (0.4%)

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 (0.1%)

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))

rewrite76.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`bool.json-1`
1562×	`bool.json-2`
1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	110	42
2	358	42
3	872	42
4	2338	42
5	5432	42

Stop Event

1×	node limit

Counts

2 → 60

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 2 (/.f64 x (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 2 (+.f64 (/.f64 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x x) (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 4) (.f64 (/.f64 1 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x -4) (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (/.f64 1 (.f64 (-.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 8) (.f64 1/4 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 x (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1 (-.f64 1 x)) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 x 4) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x (/.f64 1/2 (-.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (.f64 2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (.f64 x -4) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -4) (/.f64 2 (.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (-.f64 1 x)) (.f64 x 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 2 (/.f64 x (-.f64 1 x))) (.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 2 (/.f64 x (-.f64 1 x))) (*.f64 2 (/.f64 x (-.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4)) (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 2 (+.f64 (/.f64 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (/.f64 1/2 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 (/.f64 1 (-.f64 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -2) (/.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x -4) (+.f64 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) (/.f64 1 (*.f64 (-.f64 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 8) (*.f64 1/4 (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 x (/.f64 1/2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (-.f64 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 x (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 2 (-.f64 1 x))) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 x 4) (/.f64 1 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 1/2 (-.f64 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (-.f64 1 x)) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x -1)) (*.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (*.f64 2 (/.f64 2 (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) (/.f64 4 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (*.f64 x -4) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -4) (/.f64 2 (*.f64 (+.f64 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (-.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 x)) 1/2) (*.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (-.f64 1 x)) (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (-.f64 1 x) 4)) (*.f64 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (+.f64 x -1) 4)) (*.f64 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 2 (/.f64 x (-.f64 1 x))) (*.f64 2 (/.f64 x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 2 (/.f64 x (-.f64 1 x))) (*.f64 2 (/.f64 x (-.f64 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4)) (*.f64 2 (*.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))))))

simplify115.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational.json-simplify-2`
1012×	`rational.json-simplify-53`
988×	`rational.json-simplify-1`
938×	`rational.json-simplify-51`
878×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2104
1	357	2038
2	707	2014
3	1333	2008
4	2932	2002
5	5722	2002
6	6698	2002

Stop Event

1×	node limit

Counts

84 → 123

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 2 (/.f64 x (-.f64 1 x))) 0)
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 (/.f64 -1 x) 1))))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(-.f64 0 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))
(*.f64 (+.f64 x x) (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))))
(.f64 1 (.f64 2 (/.f64 x (-.f64 1 x))))
(.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1)
(.f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(.f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))
(*.f64 -1 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(.f64 (/.f64 (.f64 x -4) (+.f64 x -1)) 1/2)
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(.f64 (.f64 x 8) (*.f64 1/4 (/.f64 1 (-.f64 1 x))))
(.f64 4 (.f64 x (/.f64 1/2 (-.f64 1 x))))
(.f64 4 (.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (*.f64 x 1/2))
(.f64 8 (.f64 (/.f64 x 4) (/.f64 1 (-.f64 1 x))))
(*.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)) -1)
(.f64 (.f64 x (/.f64 1/2 (-.f64 1 x))) 4)
(.f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 2 (-.f64 1 x))))
(.f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))
(.f64 1/2 (/.f64 (.f64 x -4) (+.f64 x -1)))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(.f64 (.f64 x -4) (/.f64 2 (*.f64 (+.f64 x -1) 4)))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (*.f64 x 4))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)) 4)
(.f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (*.f64 x 8))
(.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (*.f64 x -4))
(*.f64 (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) (+.f64 x x))
(neg.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(.f64 2 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(.f64 1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(.f64 (.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/2)
(.f64 1/2 (.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(.f64 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2) 2)
(/.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(/.f64 (.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(/.f64 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4) 4)
(/.f64 (.f64 2 (.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4)) (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4))) 16)

Outputs
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 (pow.f64 x 2)) (.f64 2 x))
(+.f64 (.f64 2 x) (.f64 2 (pow.f64 x 2)))
(*.f64 2 (+.f64 (pow.f64 x 2) x))
(*.f64 2 (+.f64 x (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 (pow.f64 x 2)) (.f64 2 (+.f64 (pow.f64 x 3) x)))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (pow.f64 x 2))))
(*.f64 2 (+.f64 x (+.f64 (pow.f64 x 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 4)) (.f64 2 (pow.f64 x 3)))))
(+.f64 (.f64 2 (pow.f64 x 2)) (+.f64 (.f64 2 (pow.f64 x 3)) (*.f64 2 (+.f64 (pow.f64 x 4) x))))
(+.f64 (.f64 2 x) (.f64 2 (+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (pow.f64 x 2) (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 4)))))
(*.f64 2 (+.f64 (pow.f64 x 3) (+.f64 x (+.f64 (pow.f64 x 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 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.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)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.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 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x)))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (/.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)))))))
(neg.f64 (+.f64 2 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 3))) (.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 3)))))))
(neg.f64 (+.f64 2 (*.f64 2 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))))
(*.f64 2 x)
(+.f64 x 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 (pow.f64 x 3) 2/3) (+.f64 x x))
(+.f64 (.f64 2 x) (+.f64 (.f64 2/3 (pow.f64 x 3)) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (*.f64 2 x)))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2 x) (*.f64 2/5 (pow.f64 x 5))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 x x)))
(+.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 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (.f64 2 x))) (.f64 2/7 (pow.f64 x 7)))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (+.f64 (.f64 2 x) (.f64 2/5 (pow.f64 x 5))) (.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)))))
(+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 (.f64 2/5 (pow.f64 x 5)) (+.f64 (*.f64 2/7 (pow.f64 x 7)) (+.f64 x x))))
(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 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (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 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.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 (log.f64 -1) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (log.f64 -1)))
(+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 (/.f64 1 (pow.f64 x 3)) 2/3))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (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 (log.f64 -1) (+.f64 (+.f64 (.f64 2 (/.f64 1 x)) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (log.f64 -1) (.f64 2/5 (/.f64 1 (pow.f64 x 5)))) (*.f64 (/.f64 1 (pow.f64 x 3)) 2/3)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 (/.f64 1 (pow.f64 x 3)) 2/3) (+.f64 (log.f64 -1) (*.f64 2/5 (/.f64 1 (pow.f64 x 5))))))
(+.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(+.f64 0 (*.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(+.f64 -1 (-.f64 1 (/.f64 2 (+.f64 (/.f64 -1 x) 1))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(+.f64 (/.f64 x (-.f64 1 x)) (/.f64 x (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(-.f64 (*.f64 2 (/.f64 x (-.f64 1 x))) 0)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(-.f64 0 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (+.f64 x x) (/.f64 1 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (+.f64 x x) (.f64 1/2 (/.f64 2 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (+.f64 x x) (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 1 (.f64 2 (/.f64 x (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 x (-.f64 1 x))) 1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x 4) (/.f64 1/2 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x 4) (*.f64 (/.f64 1 (-.f64 1 x)) 1/2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x -2) (/.f64 1 (+.f64 x -1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 -1 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 (.f64 x -4) (+.f64 x -1)) 1/2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x 8) (/.f64 1 (*.f64 (-.f64 1 x) 4)))
(.f64 (.f64 x 8) (/.f64 (/.f64 -1 (+.f64 x -1)) 4))
(.f64 8 (.f64 (/.f64 -1/4 (+.f64 x -1)) x))
(.f64 8 (.f64 x (/.f64 -1/4 (+.f64 x -1))))
(.f64 (.f64 x 8) (*.f64 1/4 (/.f64 1 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 4 (.f64 x (/.f64 1/2 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 4 (.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 x (-.f64 1 x)) 2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 -2 (/.f64 x (+.f64 x -1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 2 (/.f64 2 (-.f64 1 x))) (*.f64 x 1/2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 8 (.f64 (/.f64 x 4) (/.f64 1 (-.f64 1 x))))
(.f64 8 (.f64 (/.f64 -1 (+.f64 x -1)) (/.f64 x 4)))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 (/.f64 x 4) 8))
(.f64 (/.f64 -1 (+.f64 x -1)) (.f64 8 (/.f64 x 4)))
(*.f64 8 (/.f64 (/.f64 x (-.f64 1 x)) 4))
(*.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)) -1)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x (/.f64 1/2 (-.f64 1 x))) 4)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 1/2 (-.f64 1 x)) (.f64 x 4))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 1 (+.f64 x -1)) (.f64 x -2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x 1/2) (*.f64 2 (/.f64 2 (-.f64 1 x))))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x 1/2) (/.f64 4 (-.f64 1 x)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 1/2 (/.f64 (.f64 x -4) (+.f64 x -1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (neg.f64 x) (/.f64 2 (+.f64 x -1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 x -4) (/.f64 2 (*.f64 (+.f64 x -1) 4)))
(.f64 x (.f64 -4 (/.f64 2 (*.f64 4 (+.f64 x -1)))))
(.f64 x (.f64 -4 (/.f64 1/2 (+.f64 x -1))))
(*.f64 (/.f64 2 (-.f64 1 x)) x)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) 1/2) (*.f64 x 4))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (.f64 (/.f64 1 (-.f64 1 x)) (*.f64 x 1/2)) 4)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 4 (-.f64 1 x)) (.f64 x 1/2))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 2 (+.f64 x -1)) (neg.f64 x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(*.f64 (/.f64 x (+.f64 x -1)) -2)
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(.f64 (/.f64 1 (.f64 (-.f64 1 x) 4)) (*.f64 x 8))
(.f64 (.f64 x 8) (/.f64 (/.f64 -1 (+.f64 x -1)) 4))
(.f64 8 (.f64 (/.f64 -1/4 (+.f64 x -1)) x))
(.f64 8 (.f64 x (/.f64 -1/4 (+.f64 x -1))))
(.f64 (/.f64 2 (.f64 (+.f64 x -1) 4)) (*.f64 x -4))
(.f64 x (.f64 -4 (/.f64 2 (*.f64 4 (+.f64 x -1)))))
(.f64 x (.f64 -4 (/.f64 1/2 (+.f64 x -1))))
(*.f64 (+.f64 (/.f64 1/2 (-.f64 1 x)) (/.f64 1/2 (-.f64 1 x))) (+.f64 x x))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(neg.f64 (/.f64 2 (+.f64 (/.f64 -1 x) 1)))
(*.f64 2 (/.f64 x (-.f64 1 x)))
(*.f64 x (/.f64 2 (-.f64 1 x)))
(*.f64 x (/.f64 -2 (+.f64 x -1)))
(+.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(+.f64 0 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(-.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 0)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 2 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 1 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 (.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))) 1/2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 1/2 (.f64 2 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))))
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(.f64 (/.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 2) 2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(/.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 1)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(/.f64 (.f64 2 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x))))) 2)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(/.f64 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4) 4)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(/.f64 (.f64 2 (.f64 (log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x)))) 4)) 8)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))
(/.f64 (+.f64 (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4)) (.f64 2 (.f64 (log1p.f64 (.f64 2 (/.f64 x (-.f64 1 x)))) 4))) 16)
(log1p.f64 (*.f64 2 (/.f64 x (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 2 (-.f64 1 x))))
(log1p.f64 (*.f64 x (/.f64 -2 (+.f64 x -1))))

eval118.0ms (3.6%)

Compiler: Compiled 1801 to 1506 computations (16.4% saved)

prune90.0ms (2.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	120	4	124

Error

Counts

124 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 x x)))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
▶	1.8b	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
▶	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 35 to 28 computations (20% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.2%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

localize16.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 36 to 23 computations (36.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`bool.json-1`
1600×	`bool.json-2`
1542×	`rational.json-1`
1542×	`rational.json-2`
1542×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	69	13
2	188	13
3	381	13
4	758	13
5	1587	13
6	3695	13
7	6424	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

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 +.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) 16/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 x 3) 16/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 x 3) 2/3) (.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))))))

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 +.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 (pow.f64 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 16/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 16/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 16/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 16/3))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 16/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 x 3) 2/3) (*.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))))))

simplify724.0ms (22.3%)

Algorithm

1×	egg-herbie

Rules

8508×	`rational.json-simplify-41`
2372×	`rational.json-simplify-35`
1216×	`rational.json-simplify-2`
798×	`rational.json-simplify-1`
632×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	81	299
2	146	299
3	325	299
4	726	299
5	2380	299
6	3290	299
7	3390	299
8	3447	299
9	3494	299
10	3537	299
11	3580	299
12	3659	299
13	3702	299
14	3745	299
15	3788	299
16	3831	299
17	3874	299
18	3917	299
19	3960	299
20	4003	299
21	4046	299
22	4089	299
23	4132	299
24	4175	299
25	4218	299
26	4261	299
27	4304	299
28	4304	299
29	4347	299
30	4390	299
31	4433	299
32	4476	299
33	4519	299
34	4562	299
35	4605	299

Stop Event

1×	node limit

Counts

23 → 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 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) 1/3))
(-.f64 (*.f64 (pow.f64 x 3) 2/3) 0)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 1)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 8/3) 4)
(/.f64 (*.f64 (pow.f64 x 3) 16/3) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 16/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 16/3))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3)))) 64)

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 2/3 (pow.f64 x 3))
(+.f64 0 (*.f64 (pow.f64 x 3) 2/3))
(*.f64 2/3 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 (pow.f64 x 3) 1/3))
(*.f64 2/3 (pow.f64 x 3))
(-.f64 (*.f64 (pow.f64 x 3) 2/3) 0)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 1)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 2)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 8/3) 4)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 16/3) 8)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 16/3)) 16)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 16/3))) 32)
(*.f64 2/3 (pow.f64 x 3))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3))) (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 16/3)))) 64)
(*.f64 2/3 (pow.f64 x 3))

eval3.0ms (0.1%)

Compiler: Compiled 179 to 130 computations (27.4% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	12	4	16

Error

Counts

16 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(.f64 1/2 (+.f64 (.f64 (pow.f64 x 3) 2/3) (+.f64 x x)))
✓	0.0b	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
✓	1.8b	(*.f64 1/2 (log1p.f64 (+.f64 x x)))
✓	64.0b	(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 35 to 28 computations (20% saved)

regimes17.0ms (0.5%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(log1p.f64 (/.f64 (*.f64 2 x) (-.f64 1 x)))
4.0ms	(.f64 1/2 (log1p.f64 (/.f64 (.f64 2 x) (-.f64 1 x))))
4.0ms	(/.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 62 to 47 computations (24.2% saved)

regimes4.0ms (0.1%)

Accuracy

Total -62.2b remaining (-3398%)

Threshold costs -62.2b (-3398%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.8b	1	`x`

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	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 x 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 x x)))
(*.f64 1/2 (log1p.f64 -2))

Compiler

Compiled 23 to 19 computations (17.4% saved)

soundness0.0ms (0%)

end22.0ms (0.7%)

Compiler: Compiled 21 to 17 computations (19% saved)

Details

analyze3.0ms (0.1%)

sample1.8s (54.5%)

preprocess8.0ms (0.3%)

simplify151.0ms (4.7%)

eval1.0ms (0%)

prune1.0ms (0%)

localize14.0ms (0.4%)

series2.0ms (0.1%)

rewrite76.0ms (2.3%)

simplify115.0ms (3.6%)

eval118.0ms (3.6%)

prune90.0ms (2.8%)

localize4.0ms (0.1%)

localize5.0ms (0.2%)

localize16.0ms (0.5%)

series1.0ms (0%)

rewrite93.0ms (2.9%)

simplify724.0ms (22.3%)

eval3.0ms (0.1%)

prune3.0ms (0.1%)

regimes17.0ms (0.5%)

regimes4.0ms (0.1%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (0.7%)

Profiling