Details

analyze135.0ms (0.9%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
11.1%	6.2%	49.9%	0.1%	18.7%	25%	0%	7
16.7%	9.4%	46.8%	0.1%	18.7%	25%	0%	8
26.5%	14%	39%	0.1%	21.8%	25%	0%	9
38.4%	18.7%	30%	0.1%	24.6%	26.5%	0%	10
45%	21.8%	26.7%	0.1%	24.8%	26.5%	0%	11
54.3%	25.9%	21.8%	0.1%	25.5%	26.5%	0%	12

Compiler

Compiled 16 to 12 computations (25% saved)

sample1.3s (8.6%)

Results

1.2s	8256×	body	256	valid
88.0ms	669×	body	256	infinite
17.0ms	166×	body	256	invalid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
1	42	140
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	18	35

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% 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

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 42 to 24 computations (42.9% saved)

series41.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
6.0ms	z	@	0	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
2.0ms	z	@	-inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
1.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
1.0ms	z	@	inf	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite156.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational.json-simplify-35`
1528×	`rational.json-1`
1528×	`rational.json-2`
1528×	`rational.json-3`
1470×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	99	75
2	192	75
3	369	75
4	690	75
5	1597	75
6	3277	75
7	4719	75
8	6183	75
9	7555	75

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 y 4) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) (.f64 (/.f64 y 4) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)) (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))) (.f64 2 (.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)) (.f64 2 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 z) (neg.f64 (+.f64 z -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (log.f64 z) 2) (.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (+.f64 x x) (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y 4) (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) (*.f64 (/.f64 y 4) (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))) (*.f64 2 (*.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)) (*.f64 2 (*.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 z) (neg.f64 (+.f64 z -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 z) (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (log.f64 z) 2) (*.f64 (-.f64 1 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (*.f64 x 1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 1)))))

simplify273.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1846×	`rational.json-simplify-2`
1818×	`rational.json-simplify-35`
1804×	`rational.json-simplify-53`
1348×	`rational.json-simplify-1`
1338×	`rational.json-simplify-51`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	161	3934
1	378	3730
2	876	3708
3	1894	3558
4	4261	3558
5	5151	3558
6	5355	3522
7	5564	3522
8	5758	3522
9	5937	3522
10	7558	3522

Stop Event

1×	node limit

Counts

132 → 119

Calls

Call 1

Inputs
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 1 (log.f64 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 y (-.f64 (+.f64 1 (log.f64 z)) z)))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (*.f64 y z))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (*.f64 y z))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (*.f64 y z))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z))))))))
(+.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)
(+.f64 0 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(+.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)))
(+.f64 (.f64 (/.f64 y 4) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) (.f64 (/.f64 y 4) (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)))
(+.f64 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)) (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) (+.f64 y y)))
(+.f64 (.f64 2 (.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))) (.f64 2 (.f64 (/.f64 y 4) (+.f64 (-.f64 1 z) (log.f64 z)))))
(+.f64 (.f64 2 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)) (.f64 2 (.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) y)))
(-.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 0)
(/.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)
(/.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2)) 2)
(/.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4)) 4)
(/.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 8)
(/.f64 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (*.f64 y 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) (.f64 y 8))))) 128)
(pow.f64 (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) 1)
(-.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 0)
(-.f64 (+.f64 (log.f64 z) (neg.f64 (+.f64 z -2))) 1)
(*.f64 1 (+.f64 (-.f64 1 z) (log.f64 z)))
(*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)
(.f64 1/2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))
(.f64 1/2 (+.f64 (.f64 (log.f64 z) 2) (*.f64 (-.f64 1 z) 2)))
(.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2))
(*.f64 4 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))
(.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 1/2)
(.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 1/4)
(.f64 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))
(*.f64 (/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)
(/.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)
(/.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2) 2)
(/.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4) 4)
(/.f64 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8))))) 128)
(pow.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1)
(-.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 0)
(.f64 1 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))))
(.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 1)
(.f64 2 (+.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 x 1/4)))
(.f64 (+.f64 x (.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4))
(.f64 (.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4) 1/4)
(.f64 (+.f64 (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 1/2)) (.f64 x 1/4)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 4))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 4))))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (*.f64 x 1/2)) 4) 4)
(/.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 1)
(/.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 2)
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(/.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 2))) 4))))) 128)
(pow.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 1)

Outputs
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (-.f64 1 z) (log.f64 z)) 8)))) 64)
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(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
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(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))
(pow.f64 (+.f64 (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))) (.f64 x 1/2)) 1)
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (-.f64 (log.f64 z) z))))

eval31.0ms (0.2%)

Compiler: Compiled 1920 to 1326 computations (30.9% saved)

prune18.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	115	4	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	115	5	120

Error

0.1b

Counts

120 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.2b	(+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x))
▶	0.1b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
▶	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	35.2b	(*.f64 1/2 x)

Compiler

Compiled 64 to 48 computations (25% saved)

localize4.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))

Compiler

Compiled 24 to 11 computations (54.2% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
0.0ms	z	@	inf	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
0.0ms	y	@	0	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
0.0ms	z	@	0	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
0.0ms	y	@	inf	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))

rewrite199.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2804×	`rational.json-simplify-2`
1396×	`rational.json-simplify-35`
1366×	`rational.json-1`
1366×	`rational.json-2`
1366×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	75	23
2	159	23
3	337	23
4	663	23
5	1588	23
6	3140	23
7	4605	23
8	6121	23
9	6969	23
10	7216	23
11	7466	23

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (.f64 y (.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/4) (.f64 y (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y (.f64 z -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 x (.f64 y (.f64 z -2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x 1/4) (.f64 y (/.f64 z -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (+.f64 x x) (.f64 z (.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (.f64 y (.f64 z -2))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (+.f64 x x) (.f64 z (.f64 y -4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 y (.f64 z -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 y (*.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 y (/.f64 z -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 y (*.f64 z -2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (*.f64 y (/.f64 z -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 y (*.f64 z -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 z (*.f64 y -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 z (*.f64 y -4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 y (*.f64 z -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y (*.f64 z -2))) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 x 1/2) (*.f64 z (neg.f64 y))) 1)))))

simplify358.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-48`
1906×	`rational.json-simplify-43`
1844×	`rational.json-simplify-1`
1474×	`rational.json-simplify-35`
1194×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	1330
1	147	1226
2	241	1226
3	406	1226
4	814	1226
5	2087	1226
6	3130	1226
7	3643	1226
8	3880	1226
9	4133	1226
10	4416	1226
11	4525	1226
12	4891	1226
13	5016	1226
14	5333	1226
15	5394	1226
16	5438	1226
17	5482	1226
18	5526	1226
19	5570	1226
20	5815	1226
21	7941	1226

Stop Event

1×	node limit

Counts

58 → 32

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(-.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 0)
(.f64 1/2 (+.f64 x (.f64 y (*.f64 z -2))))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 z (neg.f64 y))) 1)
(.f64 1 (+.f64 (.f64 x 1/2) (*.f64 z (neg.f64 y))))
(.f64 2 (+.f64 (.f64 x 1/4) (*.f64 y (/.f64 z -2))))
(.f64 (+.f64 x (.f64 y (*.f64 z -2))) 1/2)
(.f64 4 (/.f64 (+.f64 x (.f64 y (*.f64 z -2))) 8))
(.f64 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))) 1/4)
(.f64 (+.f64 (.f64 x 1/4) (*.f64 y (/.f64 z -2))) 2)
(.f64 1/4 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 z (*.f64 y -4))))
(.f64 (/.f64 (+.f64 x (.f64 y (*.f64 z -2))) 8) 4)
(.f64 (+.f64 (+.f64 x x) (.f64 z (*.f64 y -4))) 1/4)
(/.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)
(/.f64 (+.f64 x (.f64 y (.f64 z -2))) 2)
(/.f64 (.f64 2 (+.f64 x (.f64 y (*.f64 z -2)))) 4)
(/.f64 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4))))) 128)
(pow.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)

Outputs
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(-.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 0)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 z -2))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 1 (+.f64 (.f64 x 1/2) (*.f64 z (neg.f64 y))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 2 (+.f64 (.f64 x 1/4) (*.f64 y (/.f64 z -2))))
(.f64 (+.f64 x (.f64 y (*.f64 z -2))) 1/2)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 4 (/.f64 (+.f64 x (.f64 y (*.f64 z -2))) 8))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))) 1/4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 (+.f64 (.f64 x 1/4) (*.f64 y (/.f64 z -2))) 2)
(.f64 2 (+.f64 (.f64 x 1/4) (*.f64 y (/.f64 z -2))))
(.f64 1/4 (.f64 2 (+.f64 x (.f64 y (.f64 z -2)))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 z (*.f64 y -4))))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 (/.f64 (+.f64 x (.f64 y (*.f64 z -2))) 8) 4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(.f64 (+.f64 (+.f64 x x) (.f64 z (*.f64 y -4))) 1/4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (+.f64 x (.f64 y (.f64 z -2))) 2)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 2 (+.f64 x (.f64 y (*.f64 z -2)))) 4)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4) 8)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)) 16)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4))) 32)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (.f64 z -2))) 4)))) 64)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y (*.f64 z -2))) 4))))) 128)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))
(pow.f64 (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) 1)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 z (neg.f64 y)))
(+.f64 (.f64 1/2 x) (neg.f64 (.f64 y z)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 z)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x 1/2) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (+.f64 1 (log.f64 z)) y)))
✓	0.0b	(+.f64 1 (log.f64 z))
✓	0.0b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
✓	0.3b	(*.f64 (+.f64 1 (log.f64 z)) y)

Compiler

Compiled 60 to 32 computations (46.7% saved)

series26.0ms (0.2%)

Counts

4 → 73

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	z	@	-inf	(*.f64 (+.f64 1 (log.f64 z)) y)
7.0ms	z	@	0	(*.f64 (+.f64 1 (log.f64 z)) y)
4.0ms	z	@	inf	(*.f64 (+.f64 1 (log.f64 z)) y)
3.0ms	y	@	0	(*.f64 (+.f64 1 (log.f64 z)) y)
0.0ms	y	@	inf	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`rational.json-1`
1352×	`rational.json-2`
1352×	`rational.json-3`
1338×	`exponential.json-3`
1338×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	17	110
1	126	94
2	255	94
3	517	94
4	1085	94
5	2476	86
6	4089	86
7	5819	86

Stop Event

1×	node limit

Counts

4 → 83

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (log.f64 z)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 1 (log.f64 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 1 (log.f64 z)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (log.f64 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (log.f64 z)) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 1 (log.f64 z)) y) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (-.f64 1 (.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (+.f64 (log.f64 z) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 y (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 y (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 1/2 (+.f64 (log.f64 z) (-.f64 1 z))) y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (.f64 1/2 (+.f64 (log.f64 z) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 y y) (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y 1/2) (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 y (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (log.f64 z) (-.f64 1 z))) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 z) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1 (log.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 2 (.f64 (log.f64 z) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 1 (log.f64 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 1 (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (log.f64 z) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (log.f64 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 1 (log.f64 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 1 (log.f64 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 1 (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (log.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (.f64 (log.f64 z) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (log.f64 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1 (log.f64 z)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (log.f64 z)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 x 1/2)) (-.f64 1 (.f64 z y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 x (.f64 y (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 y (.f64 2 (+.f64 (log.f64 z) (-.f64 1 z))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (*.f64 x 1/2)) 1)))))

simplify1.0s (6.8%)

Algorithm

1×	egg-herbie

Rules

2082×	`rational.json-simplify-2`
1846×	`rational.json-simplify-35`
1672×	`rational.json-simplify-1`
866×	`rational.json-simplify-48`
762×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	5098
1	412	4508
2	1109	4508
3	2175	4048
4	3495	4048
5	4499	4048
6	4861	4048
7	5121	4048
8	5359	4048
9	5668	4048
10	6186	4048
11	6987	4048
12	7302	4048
13	7596	4048
14	7805	4048
15	7954	4048

Stop Event

1×	node limit

Counts

156 → 147

Calls

Call 1

Inputs
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
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Outputs
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(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (*.f64 x 1/2)) 2) 2)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (*.f64 x 1/2)) 4) 4)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4)) 8)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (*.f64 x 1/2)) 4))) 16)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 4)))) 32)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (*.f64 x 1/2)) 4))))) 64)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))
(pow.f64 (+.f64 (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))) (.f64 x 1/2)) 1)
(+.f64 (.f64 y (.f64 -1 z)) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)))
(+.f64 (.f64 y (+.f64 1 (+.f64 (neg.f64 z) (log.f64 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 (log.f64 z) (-.f64 1 z))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x))
	0.0b	(+.f64 1 (log.f64 z))
✓	0.3b	(*.f64 y (+.f64 1 (log.f64 z)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite7.9s (53.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1320×	`rational.json-3`
1284×	`rational.json-simplify-35`
1264×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	95	46
2	189	46
3	347	46
4	639	46
5	1447	46
6	2881	46
7	4328	46
8	5554	46
9	6930	46
10	7819	46

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 1 (log.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 1/2)) (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)) (*.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y 4) (+.f64 2 (*.f64 (log.f64 z) 2))) (*.f64 (/.f64 y 4) (+.f64 2 (*.f64 (log.f64 z) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 1 (log.f64 z)) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 16 (*.f64 y (+.f64 1 (log.f64 z)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y (+.f64 1 (log.f64 z)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/4) (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/4) (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 1)))))

simplify506.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

4062×	`rational.json-simplify-41`
3082×	`rational.json-simplify-35`
1944×	`rational.json-simplify-2`
816×	`rational.json-simplify-1`
724×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	2649
1	243	2573
2	500	2549
3	1368	2485
4	3018	2485
5	3982	2485
6	4411	2485
7	4763	2485
8	4999	2485
9	5186	2485
10	5341	2485
11	5604	2485
12	5643	2485
13	5690	2485
14	5728	2485
15	5811	2485
16	6023	2485
17	6211	2485
18	6359	2485
19	6501	2485

Stop Event

1×	node limit

Counts

97 → 58

Calls

Call 1

Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)
(+.f64 0 (*.f64 y (+.f64 1 (log.f64 z))))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)))
(+.f64 (.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)) (.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)))
(+.f64 (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))) (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))))
(-.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)
(/.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)
(/.f64 (.f64 y (+.f64 2 (.f64 (log.f64 z) 2))) 2)
(/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4)) 4)
(/.f64 (.f64 y (.f64 (+.f64 1 (log.f64 z)) 8)) 8)
(/.f64 (.f64 16 (.f64 y (+.f64 1 (log.f64 z)))) 16)
(/.f64 (.f64 2 (.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 y (+.f64 1 (log.f64 z)))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))))) 128)
(pow.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)
(-.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 0)
(.f64 1 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)))
(.f64 1/2 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))))
(.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 1)
(.f64 2 (+.f64 (.f64 x 1/4) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2))))
(.f64 4 (/.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8))
(.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 1/2)
(.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 4))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))))
(.f64 (+.f64 (.f64 x 1/4) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2))) 2)
(.f64 (/.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8) 4)
(.f64 (+.f64 (+.f64 x x) (.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))) 1/4)
(/.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 1)
(/.f64 (+.f64 x (.f64 y (+.f64 2 (.f64 (log.f64 z) 2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))))) 128)
(pow.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 1)

Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(*.f64 (+.f64 1 (log.f64 z)) y)
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z)))))
(*.f64 y (-.f64 1 (log.f64 (/.f64 1 z))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z)))))
(*.f64 y (-.f64 1 (log.f64 (/.f64 1 z))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z)))))
(*.f64 y (-.f64 1 (log.f64 (/.f64 1 z))))
(.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z)))))
(*.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z)))))
(*.f64 y (-.f64 1 (log.f64 (/.f64 1 z))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z)))))
(.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z)))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z))))) (.f64 1/2 x))
(+.f64 (.f64 y (-.f64 1 (log.f64 (/.f64 1 z)))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z))))) (.f64 1/2 x))
(+.f64 (.f64 y (-.f64 1 (log.f64 (/.f64 1 z)))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z))))) (.f64 1/2 x))
(+.f64 (.f64 y (-.f64 1 (log.f64 (/.f64 1 z)))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (neg.f64 (log.f64 (/.f64 1 z))))) (.f64 1/2 x))
(+.f64 (.f64 y (-.f64 1 (log.f64 (/.f64 1 z)))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z))))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z))))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z))))) (.f64 1/2 x))
(+.f64 (.f64 1/2 x) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))) (*.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (+.f64 (log.f64 -1) 1))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 z)))))) (.f64 1/2 x))
(+.f64 (.f64 y (+.f64 (log.f64 -1) (-.f64 1 (log.f64 (/.f64 -1 z))))) (.f64 1/2 x))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 0 (*.f64 y (+.f64 1 (log.f64 z))))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)) (.f64 (/.f64 (+.f64 1 (log.f64 z)) 4) (+.f64 y y)))
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))) (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))))
(.f64 (+.f64 2 (.f64 (log.f64 z) 2)) (+.f64 (/.f64 y 4) (/.f64 y 4)))
(.f64 (+.f64 2 (.f64 (log.f64 z) 2)) (/.f64 y 2))
(.f64 y (/.f64 (+.f64 2 (.f64 (log.f64 z) 2)) 2))
(-.f64 (*.f64 y (+.f64 1 (log.f64 z))) 0)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 y (+.f64 2 (.f64 (log.f64 z) 2))) 2)
(+.f64 (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))) (.f64 (/.f64 y 4) (+.f64 2 (.f64 (log.f64 z) 2))))
(.f64 (+.f64 2 (.f64 (log.f64 z) 2)) (+.f64 (/.f64 y 4) (/.f64 y 4)))
(.f64 (+.f64 2 (.f64 (log.f64 z) 2)) (/.f64 y 2))
(.f64 y (/.f64 (+.f64 2 (.f64 (log.f64 z) 2)) 2))
(/.f64 (.f64 (+.f64 1 (log.f64 z)) (.f64 y 4)) 4)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 y (.f64 (+.f64 1 (log.f64 z)) 8)) 8)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 16 (.f64 y (+.f64 1 (log.f64 z)))) 16)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 2 (.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))) 32)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 2 (.f64 2 (.f64 16 (.f64 y (+.f64 1 (log.f64 z)))))) 64)
(*.f64 (+.f64 1 (log.f64 z)) y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 16 (*.f64 y (+.f64 1 (log.f64 z))))))) 128)
(*.f64 (+.f64 1 (log.f64 z)) y)
(pow.f64 (*.f64 y (+.f64 1 (log.f64 z))) 1)
(*.f64 (+.f64 1 (log.f64 z)) y)
(-.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 0)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 1 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 1/2 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))))
(.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 2 (+.f64 (.f64 x 1/4) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2))))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 4 (/.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8))
(.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 1/2)
(.f64 1/2 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))))
(.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 4) 1/4)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 4))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))))
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 (+.f64 (.f64 x 1/4) (.f64 (+.f64 1 (log.f64 z)) (.f64 y 1/2))) 2)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(.f64 (/.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8) 4)
(.f64 4 (/.f64 (+.f64 x (.f64 y (+.f64 2 (*.f64 (log.f64 z) 2)))) 8))
(.f64 (+.f64 (+.f64 x x) (.f64 (+.f64 1 (log.f64 z)) (*.f64 y 4))) 1/4)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (+.f64 x (.f64 y (+.f64 2 (.f64 (log.f64 z) 2)))) 2)
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 4) 4)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8) 8)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 8)) 16)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))) 32)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 8)))) 64)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (*.f64 1/2 x)) 8))))) 128)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))
(pow.f64 (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) 1)
(+.f64 (.f64 1/2 x) (.f64 (+.f64 1 (log.f64 z)) y))

eval104.0ms (0.7%)

Compiler: Compiled 4108 to 2830 computations (31.1% saved)

prune188.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	264	6	270

Error

0.1b

Counts

270 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.2b	(+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x))
✓	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
▶	27.9b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
▶	46.2b	(*.f64 z (neg.f64 y))
✓	35.2b	(*.f64 1/2 x)

Compiler

Compiled 67 to 50 computations (25.4% saved)

localize4.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize97.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (log.f64 z))
	0.0b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
	0.3b	(*.f64 (+.f64 1 (log.f64 z)) y)

Compiler

Compiled 39 to 20 computations (48.7% saved)

eval98.0ms (0.7%)

Compiler: Compiled 1406 to 920 computations (34.6% saved)

prune17.0ms (0.1%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	98	8	106

Error

0.1b

Counts

106 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.2b	(+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x))
✓	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	27.9b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
▶	27.9b	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
▶	44.7b	(*.f64 (+.f64 1 (log.f64 z)) y)
✓	46.2b	(*.f64 z (neg.f64 y))
✓	35.2b	(*.f64 1/2 x)

Compiler

Compiled 87 to 65 computations (25.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (log.f64 z))
	0.3b	(*.f64 (+.f64 1 (log.f64 z)) y)

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (log.f64 z) (-.f64 1 z))
✓	0.2b	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
0.0ms	z	@	0	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
0.0ms	z	@	-inf	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
0.0ms	y	@	inf	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
0.0ms	y	@	-inf	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)

rewrite135.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational.json-simplify-35`
1574×	`rational.json-1`
1574×	`rational.json-2`
1574×	`rational.json-3`
1502×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	73	40
2	153	40
3	293	40
4	549	40
5	1238	40
6	2490	40
7	3892	40
8	5355	40
9	7290	40

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
(+.f64 (log.f64 z) (-.f64 1 z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 y 1/2)) (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (+.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (*.f64 y 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 z) (neg.f64 (+.f64 z -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 z) (-.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (log.f64 z) 2) (*.f64 (+.f64 z -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 z) 2) (*.f64 (+.f64 z -1) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)))))

simplify697.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3060×	`rational.json-simplify-2`
2248×	`rational.json-simplify-35`
1888×	`rational.json-simplify-53`
1002×	`rational.json-simplify-1`
1000×	`rational.json-simplify-51`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	117	2284
1	269	1912
2	696	1896
3	1562	1648
4	3584	1648
5	4343	1648
6	4522	1624
7	4718	1624
8	4923	1624
9	5092	1624
10	6515	1624
11	6779	1624
12	6936	1600
13	7097	1600
14	7154	1600
15	7220	1600
16	7290	1600
17	7321	1600
18	7345	1600
19	7480	1600
20	7612	1600

Stop Event

1×	node limit

Counts

74 → 88

Calls

Call 1

Inputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 1 (log.f64 z))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(+.f64 (*.f64 -1 z) (+.f64 1 (log.f64 z)))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(+.f64 (.f64 -1 z) (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) 1))
(*.f64 -1 z)
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 z) (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z))))))
(+.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 0)
(+.f64 0 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y))
(+.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (.f64 y 1/2)) (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (.f64 y 1/2)))
(-.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 0)
(/.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 1)
(/.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (+.f64 y y)) 2)
(/.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (.f64 y 4)) 4)
(/.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) (.f64 y 8)) 8)
(/.f64 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8)) 16)
(/.f64 (.f64 2 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (.f64 y 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (*.f64 y 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (.f64 y 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (.f64 y 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) (.f64 y 8)))))) 256)
(pow.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) 1)
(-.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 0)
(-.f64 (+.f64 (log.f64 z) (neg.f64 (+.f64 z -2))) 1)
(*.f64 1 (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)
(.f64 2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1/2))
(.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) 1/2)
(*.f64 4 (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4))
(.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2))
(.f64 1/2 (+.f64 (.f64 (log.f64 z) 2) (*.f64 (+.f64 z -1) -2)))
(.f64 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4))
(*.f64 (/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 4)
(.f64 (+.f64 (.f64 (log.f64 z) 2) (*.f64 (+.f64 z -1) -2)) 1/2)
(/.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)
(/.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 2) 2)
(/.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 4) 4)
(/.f64 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 8)))))) 256)
(pow.f64 (+.f64 (log.f64 z) (-.f64 1 z)) 1)

Outputs
(*.f64 (+.f64 1 (log.f64 z)) y)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
(*.f64 y (+.f64 1 (+.f64 (neg.f64 z) (neg.f64 (log.f64 (/.f64 1 z))))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 (/.f64 1 z)) z))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 1 z))) (-.f64 1 z)))
(*.f64 y (+.f64 1 (neg.f64 (+.f64 z (log.f64 (/.f64 1 z))))))
(*.f64 y (-.f64 1 (+.f64 z (log.f64 (/.f64 1 z)))))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
(*.f64 y (+.f64 1 (+.f64 (neg.f64 z) (neg.f64 (log.f64 (/.f64 1 z))))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 (/.f64 1 z)) z))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 1 z))) (-.f64 1 z)))
(*.f64 y (+.f64 1 (neg.f64 (+.f64 z (log.f64 (/.f64 1 z))))))
(*.f64 y (-.f64 1 (+.f64 z (log.f64 (/.f64 1 z)))))
(+.f64 (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (.f64 -1 (log.f64 (/.f64 1 z))))))
(*.f64 y (+.f64 1 (+.f64 (neg.f64 z) (neg.f64 (log.f64 (/.f64 1 z))))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (log.f64 (/.f64 1 z)) z))))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 1 z))) (-.f64 1 z)))
(*.f64 y (+.f64 1 (neg.f64 (+.f64 z (log.f64 (/.f64 1 z))))))
(*.f64 y (-.f64 1 (+.f64 z (log.f64 (/.f64 1 z)))))
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(neg.f64 (*.f64 z y))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (+.f64 1 (neg.f64 (log.f64 (/.f64 -1 z)))) (neg.f64 z))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (neg.f64 z)))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (neg.f64 z) (-.f64 1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (+.f64 z (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (+.f64 1 (neg.f64 (log.f64 (/.f64 -1 z)))) (neg.f64 z))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (neg.f64 z)))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (neg.f64 z) (-.f64 1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (+.f64 z (log.f64 (/.f64 -1 z))))))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(+.f64 (.f64 y (.f64 z -1)) (.f64 y (+.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 z)))))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (+.f64 1 (neg.f64 (log.f64 (/.f64 -1 z)))) (neg.f64 z))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 z))) (neg.f64 z)))))
(*.f64 y (+.f64 (log.f64 -1) (+.f64 (neg.f64 z) (-.f64 1 (log.f64 (/.f64 -1 z))))))
(*.f64 y (+.f64 (log.f64 -1) (-.f64 1 (+.f64 z (log.f64 (/.f64 -1 z))))))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
(*.f64 y (+.f64 1 (+.f64 (log.f64 z) (neg.f64 z))))
(*.f64 y (+.f64 (log.f64 z) (-.f64 1 z)))
(*.f64 y (+.f64 1 (-.f64 (log.f64 z) z)))
(*.f64 y (-.f64 (+.f64 1 (log.f64 z)) z))
(+.f64 (.f64 (+.f64 1 (log.f64 z)) y) (.f64 y (*.f64 z -1)))
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eval64.0ms (0.4%)

Compiler: Compiled 1592 to 1118 computations (29.8% saved)

prune22.0ms (0.1%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	135	8	143

Error

0.1b

Counts

143 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	17.2b	(+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x))
✓	19.1b	(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
✓	0.1b	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
✓	27.9b	(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (+.f64 1 (log.f64 z)) y))
✓	27.9b	(*.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)
✓	44.7b	(*.f64 (+.f64 1 (log.f64 z)) y)
✓	46.2b	(*.f64 z (neg.f64 y))
✓	35.2b	(*.f64 1/2 x)

Compiler

Compiled 87 to 65 computations (25.3% saved)

regimes151.0ms (1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

7 calls:

67.0ms	(*.f64 x 1/2)
54.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
6.0ms	y
6.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
5.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))`
0.1b	1	`(*.f64 x 1/2)`
0.1b	1	`(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))`
0.1b	1	`(+.f64 (-.f64 1 z) (log.f64 z))`

Compiler

Compiled 135 to 87 computations (35.6% saved)

regimes172.0ms (1.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

89.0ms	y
54.0ms	(*.f64 x 1/2)
13.0ms	x
12.0ms	z

Results

Error	Segments	Branch
7.1b	3	`x`
7.6b	3	`y`
1.3b	2	`z`
7.1b	3	`(*.f64 x 1/2)`

Compiler

Compiled 72 to 45 computations (37.5% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
14.0ms	1.5304296942693665e-9	3.827510301112905e-7

Results

13.0ms

112×

body

256

valid

Compiler

Compiled 203 to 156 computations (23.2% saved)

regimes89.0ms (0.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	z
16.0ms	y
12.0ms	(*.f64 x 1/2)
11.0ms	x

Results

Error	Segments	Branch
9.5b	3	`x`
7.6b	3	`y`
11.4b	8	`z`
9.5b	3	`(*.f64 x 1/2)`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch38.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	2.4480077815839776e+44	2.1593861405425777e+49
19.0ms	-3.8908266047447246e-9	-2.9972000060029844e-15

Results

34.0ms	288×	body	256	valid
0.0ms	2×	body	256	infinite

Compiler

Compiled 453 to 340 computations (24.9% saved)

regimes211.0ms (1.4%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

4 calls:

94.0ms	z
78.0ms	(*.f64 x 1/2)
19.0ms	x
18.0ms	y

Results

Error	Segments	Branch
16.4b	5	`x`
11.1b	5	`y`
11.4b	8	`z`
16.4b	5	`(*.f64 x 1/2)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

bsearch256.0ms (1.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
67.0ms	9.179796879618951e+139	3.185954221783998e+156
18.0ms	-4.581020408681974e+56	-8.88612034872566e+52
94.0ms	-6.199755507673012e+105	-6.59728896759439e+100
76.0ms	-2.796046127518082e+149	-2.0661736150654163e+143

Results

183.0ms	576×	body	256	valid
11.0ms	100×	body	256	infinite

Compiler

Compiled 813 to 628 computations (22.8% saved)

regimes16.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	z
3.0ms	(*.f64 x 1/2)
3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
19.1b	1	`x`
19.1b	1	`y`
19.1b	1	`z`
19.1b	1	`(*.f64 x 1/2)`

Compiler

Compiled 36 to 24 computations (33.3% saved)

regimes98.0ms (0.7%)

Accuracy

Total -36.6b remaining (-144%)

Threshold costs -36.6b (-144%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

78.0ms	z
11.0ms	y
8.0ms	x

Results

Error	Segments	Branch
25.4b	3	`x`
31.5b	3	`y`
26.5b	4	`z`

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.2092007014429893e-67	1.8039586013592007e-61
18.0ms	-6.4709643062350976e-111	-6.993218290004563e-114

Results

45.0ms

272×

body

256

valid

Compiler

Compiled 276 to 220 computations (20.3% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	389

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 7177997053961861/18889465931478580854784) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))))
(if (<=.f64 y -5942112188569825/9903520314283042199192993792) (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) (if (<=.f64 y 6499999999999999717090510890748510934598273728512) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)))
(if (<=.f64 y -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (if (<=.f64 y -450000000000000030467240045175171240550167630903997628416) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (*.f64 (+.f64 1 (log.f64 z)) y)))))
(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
(if (<=.f64 x -4332296397063773/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (.f64 1/2 x) (if (<=.f64 x 3983247869763677/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 z (neg.f64 y)) (*.f64 1/2 x)))
(*.f64 1/2 x)

Outputs
(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
(if (<=.f64 z 7177997053961861/18889465931478580854784) (+.f64 (.f64 y (+.f64 1 (log.f64 z))) (.f64 1/2 x)) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))))
(if (<=.f64 y -5942112188569825/9903520314283042199192993792) (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y) (if (<=.f64 y 6499999999999999717090510890748510934598273728512) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (.f64 (+.f64 (log.f64 z) (-.f64 1 z)) y)))
(if (<=.f64 y -2000000000000000047490864717302210714817315855657364374946929977340474859084041145136355256432166588258691938267680232151586826339780163146874880) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y -979999999999999965075442089695763841993349661855146003495992285303660647125574690748208643278546927616) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (if (<=.f64 y -450000000000000030467240045175171240550167630903997628416) (.f64 (+.f64 1 (log.f64 z)) y) (if (<=.f64 y 10000000000000000489767265751505205795722270035307438887450423745901682635933847561612315292472764637931130646815102767620534329186625852171022761984) (+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y))) (*.f64 (+.f64 1 (log.f64 z)) y)))))
(+.f64 (.f64 x 1/2) (.f64 z (neg.f64 y)))
(if (<=.f64 x -4332296397063773/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (.f64 1/2 x) (if (<=.f64 x 3983247869763677/926336713898529563388567880069503262826159877325124512315660672063305037119488) (.f64 z (neg.f64 y)) (*.f64 1/2 x)))
(*.f64 1/2 x)

Compiler

Compiled 166 to 113 computations (31.9% saved)

soundness0.0ms (0%)

end63.0ms (0.4%)

Compiler: Compiled 148 to 84 computations (43.2% saved)

Details

analyze135.0ms (0.9%)

sample1.3s (8.6%)

preprocess4.0ms (0%)

simplify11.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.1%)

series41.0ms (0.3%)

rewrite156.0ms (1.1%)

simplify273.0ms (1.8%)

eval31.0ms (0.2%)

prune18.0ms (0.1%)

localize4.0ms (0%)

localize10.0ms (0.1%)

series2.0ms (0%)

rewrite199.0ms (1.4%)

simplify358.0ms (2.4%)

localize22.0ms (0.2%)

series26.0ms (0.2%)

rewrite116.0ms (0.8%)

simplify1.0s (6.8%)

localize13.0ms (0.1%)

series1.0ms (0%)

rewrite7.9s (53.6%)

simplify506.0ms (3.4%)

eval104.0ms (0.7%)

prune188.0ms (1.3%)

localize4.0ms (0%)

localize97.0ms (0.7%)

eval98.0ms (0.7%)

prune17.0ms (0.1%)

localize9.0ms (0.1%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite135.0ms (0.9%)

simplify697.0ms (4.7%)

eval64.0ms (0.4%)

prune22.0ms (0.1%)

regimes151.0ms (1%)

regimes172.0ms (1.2%)

bsearch15.0ms (0.1%)

regimes89.0ms (0.6%)

bsearch38.0ms (0.3%)

regimes211.0ms (1.4%)

bsearch256.0ms (1.7%)

regimes16.0ms (0.1%)

regimes98.0ms (0.7%)

bsearch51.0ms (0.3%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end63.0ms (0.4%)

Profiling