Details

analyze133.0ms (2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample5.1s (78.5%)

Results

3.1s	2599×	body	8192	exit
1.7s	7761×	body	256	valid
145.0ms	267×	body	512	valid
141.0ms	228×	body	1024	valid
17.0ms	116×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

104×	`rational.json-simplify-31`
84×	`rational.json-simplify-2`
76×	`rational.json-simplify-27`
60×	`rational.json-simplify-41`
52×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	26	54
2	38	54
3	56	54
4	86	54
5	117	54
6	156	54
7	197	54
8	237	54
9	260	54
10	266	54
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

98×	`rational.json-simplify-31`
66×	`rational.json-simplify-2`
38×	`rational.json-simplify-27`
30×	`rational.json-simplify-9`
30×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	17	27
2	24	27
3	34	27
4	52	27
5	71	27
6	96	27
7	121	27
8	148	27
9	173	27
10	181	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

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

1.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	1.0b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series43.0ms (0.7%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
17.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
2.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	-inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite12.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

60×	`rational.json-simplify-2`
52×	`bool.json-1`
46×	`rational.json-1`
46×	`rational.json-2`
40×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	53	53
2	100	53
3	141	53
4	161	53
5	178	53
6	186	53
7	202	53

Stop Event

1×

saturated

Counts

3 → 20

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 1 (exp.f64 x))

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

Outputs

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

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

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

simplify34.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

178×	`rational.json-simplify-1`
150×	`rational.json-simplify-31`
134×	`rational.json-simplify-2`
114×	`rational.json-simplify-33`
34×	`rational.json-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	1190
1	124	1190
2	203	1190
3	308	1190
4	380	1190
5	406	1190
6	442	1190
7	500	1190
8	511	1190

Stop Event

1×

saturated

Counts

52 → 55

Calls

Call 1

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

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

eval13.0ms (0.2%)

Compiler: Compiled 720 to 471 computations (34.6% saved)

prune8.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	4	56

Error

0.8b

Counts

56 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	6.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	13.4b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	35.4b	(*.f64 x (neg.f64 y))
▶	27.8b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
	1.0b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0.1%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

68×	`rational.json-simplify-2`
58×	`bool.json-1`
46×	`rational.json-1`
46×	`rational.json-2`
38×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	54	36
2	100	36
3	133	36
4	167	36
5	193	36
6	208	36
7	221	36

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

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

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

Outputs

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

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

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

122×	`rational.json-simplify-31`
104×	`rational.json-simplify-2`
22×	`rational.json-simplify-1`
18×	`rational.json-simplify-27`
18×	`rational.json-simplify-9`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	743
1	41	743
2	54	699
3	65	699
4	79	699
5	97	699
6	125	699
7	169	699
8	187	699
9	200	699
10	206	699

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite8.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

56×	`rational.json-simplify-2`
50×	`bool.json-1`
42×	`rational.json-1`
42×	`rational.json-2`
34×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	45	17
2	91	17
3	131	17
4	151	17
5	168	17
6	176	17
7	192	17

Stop Event

1×

saturated

Counts

1 → 9

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

Outputs

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

simplify17.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

102×	`rational.json-simplify-31`
68×	`rational.json-simplify-2`
42×	`rational.json-simplify-1`
38×	`rational.json-simplify-27`
30×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	525
1	34	525
2	53	525
3	75	525
4	89	525
5	116	525
6	148	525
7	179	525
8	204	525
9	213	525

Stop Event

1×

saturated

Counts

33 → 15

Calls

Call 1

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

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

eval14.0ms (0.2%)

Compiler: Compiled 607 to 445 computations (26.7% saved)

prune14.0ms (0.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	8	72

Error

0.8b

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	13.4b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	27.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	47.2b	(*.f64 (-.f64 1/2 y) x)
✓	35.4b	(*.f64 x (neg.f64 y))
▶	28.7b	(log.f64 (+.f64 2 x))
✓	27.8b	(log.f64 (+.f64 1 (exp.f64 x)))
▶	28.2b	(log.f64 2)

Compiler

Compiled 56 to 45 computations (19.6% saved)

localize3.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite5.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	33	11
2	57	11
3	62	11

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

Outputs

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

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-27`
1054×	`rational.json-simplify-41`
928×	`rational.json-simplify-1`
892×	`rational.json-simplify-40`
528×	`rational.json-simplify-9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	606
1	94	606
2	180	606
3	449	606
4	1132	606
5	2417	606
6	3408	606
7	3849	606
8	4003	606
9	4125	606
10	4192	606
11	4194	606

Stop Event

1×

saturated

Counts

16 → 41

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 0 (log.f64 (+.f64 2 x)))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2)))) (*.f64 1/24 (pow.f64 x 3)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (.f64 2 (/.f64 1 x)) (-.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 (log.f64 (/.f64 1 x)) 1)))
(-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (*.f64 1 (log.f64 (/.f64 1 x)))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (.f64 8/3 (/.f64 1 (pow.f64 x 3)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 (/.f64 1 (pow.f64 x 2)) -2))))
(+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 (pow.f64 x 2)) -2)))
(+.f64 (-.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 2))) (.f64 1 (log.f64 (/.f64 1 x))))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 (/.f64 1 (pow.f64 x 2)) -2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 2 (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (.f64 (/.f64 1 (pow.f64 x 2)) -2))))
(+.f64 (.f64 2 (/.f64 1 x)) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 (/.f64 1 (pow.f64 x 2)) -2)))))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(*.f64 1 (log.f64 (+.f64 2 x)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

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

rewrite5.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	42	17
2	68	17
3	73	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	14	65

Stop Event

1×

saturated

Counts

5 → 5

Calls

Call 1

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

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

eval17.0ms (0.3%)

Compiler: Compiled 862 to 729 computations (15.4% saved)

prune9.0ms (0.1%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	53	9	62

Error

0.8b

Counts

62 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	13.4b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	27.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	47.2b	(*.f64 (-.f64 1/2 y) x)
✓	35.4b	(*.f64 x (neg.f64 y))
▶	61.6b	(*.f64 1/2 x)
✓	28.7b	(log.f64 (+.f64 2 x))
✓	27.8b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	28.2b	(log.f64 2)

Compiler

Compiled 61 to 49 computations (19.7% saved)

localize3.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	8	8
Total	9	9

Error

0.8b

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	6.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	13.4b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
✓	27.9b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	47.2b	(*.f64 (-.f64 1/2 y) x)
✓	35.4b	(*.f64 x (neg.f64 y))
✓	61.6b	(*.f64 1/2 x)
✓	28.7b	(log.f64 (+.f64 2 x))
✓	27.8b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	28.2b	(log.f64 2)

Compiler

Compiled 61 to 49 computations (19.7% saved)

regimes20.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Calls

3 calls:

7.0ms	y
6.0ms	x
4.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 71 to 49 computations (31% saved)

regimes20.0ms (0.3%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	x
6.0ms	y

Results

Error	Segments	Branch
1.3b	2	`x`
6.4b	1	`y`

Compiler

Compiled 51 to 37 computations (27.5% saved)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
13.0ms	-5.3102600104172195	-1.1988931783503758

Results

12.0ms

96×

body

256

valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

regimes17.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

11.0ms	x
5.0ms	y

Results

Error	Segments	Branch
1.6b	2	`x`
6.4b	1	`y`

Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch405.0ms (6.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
405.0ms	-1146021085810820400.0	-1132134745470.5447

Results

385.0ms	44×	body	1024	valid
11.0ms	81×	body	256	valid
5.0ms	19×	body	512	valid
1.0ms	4×	body	256	infinite

Compiler

Compiled 160 to 120 computations (25% saved)

regimes156.0ms (2.4%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

92.0ms	y
62.0ms	x

Results

Error	Segments	Branch
8.9b	2	`x`
17.1b	9	`y`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-1.0485974345280781e-13	-4.9773560264150727e-17

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

regimes54.0ms (0.8%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(log.f64 (+.f64 2 x))

Calls

2 calls:

40.0ms	y
12.0ms	x

Results

Error	Segments	Branch
9.0b	2	`x`
17.5b	9	`y`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch18.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-1.0485974345280781e-13	-4.9773560264150727e-17

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 128 to 100 computations (21.9% saved)

regimes46.0ms (0.7%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)

Calls

2 calls:

35.0ms	y
11.0ms	x

Results

Error	Segments	Branch
9.2b	2	`x`
17.5b	9	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch17.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
17.0ms	-1.0485974345280781e-13	-4.9773560264150727e-17

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 112 to 92 computations (17.9% saved)

regimes9.0ms (0.1%)

Accuracy

Total -26.7b remaining (-75.3%)

Threshold costs -26.7b (-75.3%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

5.0ms	y
3.0ms	x

Results

Error	Segments	Branch
35.4b	1	`x`
35.4b	1	`y`

Compiler

Compiled 20 to 13 computations (35% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	218

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1150000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3010670175542045/79228162514264337593543950336) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -2636713248474717/20282409603651670423947251286016) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -8239728901483491/316912650057057350374175801344) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -1553741871442821/1125899906842624) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -1150000000000) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -3010670175542045/79228162514264337593543950336) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -2636713248474717/20282409603651670423947251286016) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -8239728901483491/316912650057057350374175801344) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Compiler

Compiled 98 to 71 computations (27.6% saved)

soundness0.0ms (0%)

end81.0ms (1.2%)

Compiler: Compiled 84 to 46 computations (45.2% saved)

Iter	Nodes	Cost
0	16	54
1	26	54
2	38	54
3	56	54
4	86	54
5	117	54
6	156	54
7	197	54
8	237	54
9	260	54
10	266	54
0	2	2

Iter	Nodes	Cost
0	11	27
1	17	27
2	24	27
3	34	27
4	52	27
5	71	27
6	96	27
7	121	27
8	148	27
9	173	27
10	181	27

Iter	Nodes	Cost
0	25	743
1	41	743
2	54	699
3	65	699
4	79	699
5	97	699
6	125	699
7	169	699
8	187	699
9	200	699
10	206	699

Iter	Nodes	Cost
0	26	525
1	34	525
2	53	525
3	75	525
4	89	525
5	116	525
6	148	525
7	179	525
8	204	525
9	213	525

Iter	Nodes	Cost
0	16	54
1	26	54
2	38	54
3	56	54
4	86	54
5	117	54
6	156	54
7	197	54
8	237	54
9	260	54
10	266	54
0	2	2

Iter	Nodes	Cost
0	11	27
1	17	27
2	24	27
3	34	27
4	52	27
5	71	27
6	96	27
7	121	27
8	148	27
9	173	27
10	181	27

Iter	Nodes	Cost
0	25	743
1	41	743
2	54	699
3	65	699
4	79	699
5	97	699
6	125	699
7	169	699
8	187	699
9	200	699
10	206	699

Iter	Nodes	Cost
0	26	525
1	34	525
2	53	525
3	75	525
4	89	525
5	116	525
6	148	525
7	179	525
8	204	525
9	213	525

Details

analyze133.0ms (2%)

sample5.1s (78.5%)

preprocess6.0ms (0.1%)

simplify8.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series43.0ms (0.7%)

rewrite12.0ms (0.2%)

simplify34.0ms (0.5%)

eval13.0ms (0.2%)

prune8.0ms (0.1%)

localize7.0ms (0.1%)

localize5.0ms (0.1%)

localize11.0ms (0.2%)

series6.0ms (0.1%)

rewrite8.0ms (0.1%)

simplify22.0ms (0.3%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite8.0ms (0.1%)

simplify17.0ms (0.3%)

eval14.0ms (0.2%)

prune14.0ms (0.2%)

localize3.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite5.0ms (0.1%)

simplify62.0ms (0.9%)

localize5.0ms (0.1%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite5.0ms (0.1%)

simplify6.0ms (0.1%)

eval17.0ms (0.3%)

prune9.0ms (0.1%)

localize3.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.1%)

regimes20.0ms (0.3%)

regimes20.0ms (0.3%)

bsearch14.0ms (0.2%)

regimes17.0ms (0.3%)

bsearch405.0ms (6.2%)

regimes156.0ms (2.4%)

bsearch17.0ms (0.3%)

regimes54.0ms (0.8%)

bsearch18.0ms (0.3%)

regimes46.0ms (0.7%)

bsearch17.0ms (0.3%)

regimes9.0ms (0.1%)

simplify5.0ms (0.1%)

soundness0.0ms (0%)

end81.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	16	54
1	26	54
2	38	54
3	56	54
4	86	54
5	117	54
6	156	54
7	197	54
8	237	54
9	260	54
10	266	54
0	2	2

Iter	Nodes	Cost
0	11	27
1	17	27
2	24	27
3	34	27
4	52	27
5	71	27
6	96	27
7	121	27
8	148	27
9	173	27
10	181	27

Iter	Nodes	Cost
0	25	743
1	41	743
2	54	699
3	65	699
4	79	699
5	97	699
6	125	699
7	169	699
8	187	699
9	200	699
10	206	699

Iter	Nodes	Cost
0	26	525
1	34	525
2	53	525
3	75	525
4	89	525
5	116	525
6	148	525
7	179	525
8	204	525
9	213	525