Details

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
33.3%	25%	50%	0%	0%	25%	0%	3
66.7%	50%	25%	0%	0%	25%	0%	4
83.3%	62.5%	12.5%	0%	0%	25%	0%	5
91.7%	68.7%	6.2%	0%	0%	25%	0%	6
95.8%	71.8%	3.1%	0%	0%	25%	0%	7
97.9%	73.4%	1.6%	0%	0%	25%	0%	8
99%	74.2%	0.8%	0%	0%	25%	0%	9
99.5%	74.6%	0.4%	0%	0%	25%	0%	10
99.7%	74.8%	0.2%	0%	0%	25%	0%	11
99.9%	74.9%	0.1%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample6.4s (65.6%)

Results

2.4s	2767×	body	1024	valid
2.2s	3806×	body	256	valid
548.0ms	1383×	body	512	valid
172.0ms	300×	body	2048	valid
0.0ms	2×	body	256	invalid

Bogosity

preprocess4.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 1 x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 1 x))

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% 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

37.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	37.3b	(log.f64 (+.f64 1 x))

Compiler

Compiled 5 to 4 computations (20% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(log.f64 (+.f64 1 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite461.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-3`
1460×	`rational.json-simplify-35`
1414×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	56	11
2	129	11
3	228	11
4	417	11
5	892	11
6	2249	11
7	3956	11
8	5085	11
9	6890	11

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

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

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

Outputs

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

simplify283.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4520×	`rational.json-simplify-51`
2444×	`rational.json-simplify-35`
2124×	`rational.json-simplify-49`
1142×	`rational.json-simplify-1`
778×	`rational.json-simplify-41`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	100	885
1	213	869
2	512	869
3	1141	869
4	1870	869
5	2706	869
6	3098	869
7	3205	869
8	3279	869
9	3344	869
10	3406	869
11	3465	869
12	3526	869
13	4083	869
14	4299	869
15	4394	869
16	4489	869
17	4566	869
18	4643	841
19	6050	841

Stop Event

1×	node limit

Counts

39 → 75

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 1 x)) 0)
(+.f64 0 (log.f64 (+.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(*.f64 1 (log.f64 (+.f64 1 x)))
(*.f64 (log.f64 (+.f64 1 x)) 1)
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 x))))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 2) 1/2)
(*.f64 4 (log.f64 (pow.f64 (+.f64 1 x) 1/4)))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 4) 1/4)
(.f64 8 (.f64 1/8 (log.f64 (+.f64 1 x))))
(.f64 1/2 (.f64 (log.f64 (+.f64 1 x)) 2))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 8) 1/8)
(.f64 1/4 (.f64 (log.f64 (+.f64 1 x)) 4))
(*.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) 2)
(.f64 1/8 (.f64 (log.f64 (+.f64 1 x)) 8))
(*.f64 (log.f64 (pow.f64 (+.f64 1 x) 1/4)) 4)
(/.f64 (log.f64 (+.f64 1 x)) 1)
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 2) 2)
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 8) 8)
(/.f64 (log.f64 (pow.f64 (+.f64 1 x) 16)) 16)
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16))) 32)
(/.f64 (.f64 2 (.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16)))) 64)
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16)))))) 256)
(pow.f64 (log.f64 (+.f64 1 x)) 1)

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/4 (pow.f64 x 4))) (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (-.f64 (/.f64 1 x) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/2) (log.f64 (/.f64 1 x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -1) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (-.f64 (*.f64 (/.f64 1 (pow.f64 x 2)) -1/2) (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 -1))) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (+.f64 (log.f64 -1) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (/.f64 1 x) (+.f64 (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (log.f64 -1))))
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3)))) (+.f64 (log.f64 -1) (-.f64 (.f64 (/.f64 1 (pow.f64 x 2)) -1/2) (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (+.f64 1 x)) 0)
(log.f64 (+.f64 x 1))
(+.f64 0 (log.f64 (+.f64 1 x)))
(log.f64 (+.f64 x 1))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(-.f64 (log.f64 (+.f64 1 x)) 0)
(log.f64 (+.f64 x 1))
(*.f64 1 (log.f64 (+.f64 1 x)))
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 2) 1/2)
(log.f64 (+.f64 x 1))
(*.f64 4 (log.f64 (pow.f64 (+.f64 1 x) 1/4)))
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 4) 1/4)
(log.f64 (+.f64 x 1))
(.f64 8 (.f64 1/8 (log.f64 (+.f64 1 x))))
(log.f64 (+.f64 x 1))
(.f64 1/2 (.f64 (log.f64 (+.f64 1 x)) 2))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (log.f64 (+.f64 1 x)) 8) 1/8)
(log.f64 (+.f64 x 1))
(.f64 1/4 (.f64 (log.f64 (+.f64 1 x)) 4))
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) 2)
(log.f64 (+.f64 x 1))
(.f64 1/8 (.f64 (log.f64 (+.f64 1 x)) 8))
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (pow.f64 (+.f64 1 x) 1/4)) 4)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(/.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 2) 2)
(log.f64 (+.f64 x 1))
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 4) 4)
(log.f64 (+.f64 x 1))
(/.f64 (*.f64 (log.f64 (+.f64 1 x)) 8) 8)
(log.f64 (+.f64 x 1))
(/.f64 (log.f64 (pow.f64 (+.f64 1 x) 16)) 16)
(/.f64 (log.f64 (pow.f64 (+.f64 x 1) 16)) 16)
(/.f64 (*.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16))) 32)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(/.f64 (.f64 2 (.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16)))) 64)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16))))) 128)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (log.f64 (pow.f64 (+.f64 1 x) 16)))))) 256)
(*.f64 4 (log.f64 (pow.f64 (+.f64 x 1) 1/4)))
(log.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 2))
(pow.f64 (log.f64 (+.f64 1 x)) 1)
(log.f64 (+.f64 x 1))

eval20.0ms (0.2%)

Compiler: Compiled 1026 to 864 computations (15.8% saved)

prune10.0ms (0.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.3b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
▶	23.7b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	37.3b	(log.f64 (+.f64 1 x))
	23.0b	x

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series1.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite249.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2270×	`rational.json-simplify-2`
1630×	`rational.json-simplify-1`
1518×	`rational.json-simplify-35`
1224×	`exponential.json-3`
1224×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	106	32
3	204	32
4	382	32
5	855	32
6	2247	32
7	4051	32
8	4920	32
9	6063	32
10	6866	32
11	6952	32
12	7064	32
13	7908	32

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

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

Outputs

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

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

simplify314.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1972×	`rational.json-simplify-2`
1900×	`rational.json-simplify-35`
1650×	`rational.json-simplify-1`
856×	`rational.json-simplify-52`
720×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	1047
1	341	1047
2	762	1047
3	2248	1047
4	3819	1047
5	4572	1047
6	5063	1047
7	5957	1047
8	6925	1047
9	7321	1047
10	7476	1047
11	7787	1047
12	7836	1047
13	7853	1047

Stop Event

1×	node limit

Counts

69 → 70

Calls

Call 1

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

Outputs
x
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 0)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1 (+.f64 x (.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 1/2)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4) 1/4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8) 1/8)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/2 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) -1/4)))
(.f64 1/4 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 4))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1/4) 4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(.f64 1/8 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8))
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) 2)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 4) 4)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8) 8)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)) 16)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))) 32)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))) 64)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 -1/2 (pow.f64 x 2))) 8))))) 128)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 8)))))) 256)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(pow.f64 (+.f64 x (*.f64 -1/2 (pow.f64 x 2))) 1)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (.f64 (pow.f64 x 2) -1/4) (.f64 (pow.f64 x 2) -1/4))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) -1)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -2)
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 -1/2 (pow.f64 x 2)) 0)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 0 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 1 (+.f64 1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 -1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2)))
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (-.f64 1 (*.f64 (pow.f64 x 2) 1/2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (pow.f64 x 2) -2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 2 (pow.f64 x 2)) -4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (pow.f64 x 2)) 2)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 4) -8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -2) 4)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 8) -16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) -4) 8)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (*.f64 (pow.f64 x 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) -4)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 8)) -32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))) -64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 2) 8)) 16)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 (pow.f64 x 2) 8))) 32)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) 8)))) -128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (*.f64 (pow.f64 x 2) 8)))) 64)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 2 (.f64 (pow.f64 x 2) 8))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) -4))))) 128)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 2) 8))))) -256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 2) -4)))))) 256)
(*.f64 -1/2 (pow.f64 x 2))
(/.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))) -1)
(*.f64 -1/2 (pow.f64 x 2))
(pow.f64 (*.f64 -1/2 (pow.f64 x 2)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (*.f64 (pow.f64 x 2) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(neg.f64 (+.f64 1 (+.f64 -1 (*.f64 (pow.f64 x 2) 1/2))))
(*.f64 -1/2 (pow.f64 x 2))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 x 2))
✓	0.1b	(*.f64 1/3 (pow.f64 x 3))
✓	10.0b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

2 → 6

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	0	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/3 (pow.f64 x 3))
0.0ms	x	@	inf	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
0.0ms	x	@	0	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))

rewrite149.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-simplify-35`
1460×	`exponential.json-3`
1460×	`rational.json-1`
1460×	`rational.json-2`
1460×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	86	50
2	166	50
3	324	50
4	672	50
5	1698	50
6	3609	50
7	5528	50
8	6904	50
9	7960	50

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (*.f64 (pow.f64 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) -1/4) (+.f64 (*.f64 x 1/2) (*.f64 (pow.f64 x 3) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (*.f64 (pow.f64 x 3) 2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (*.f64 (pow.f64 x 3) 2/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) 1/6) (*.f64 (pow.f64 x 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 3) 4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 x 3) 4/3)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)))))

simplify1.7s (17.1%)

Algorithm

1×	egg-herbie

Rules

3170×	`rational.json-simplify-35`
2852×	`rational.json-simplify-51`
2534×	`rational.json-simplify-2`
1212×	`rational.json-simplify-1`
564×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	1263
1	216	1263
2	453	1263
3	1366	1263
4	2712	1263
5	3338	1263
6	3528	1263
7	3642	1263
8	3714	1263
9	3785	1263
10	3854	1263
11	3922	1263
12	3990	1263
13	4058	1263
14	4126	1263
15	4194	1263
16	4262	1263
17	4330	1263
18	4398	1263
19	4466	1263
20	6210	1263
21	6218	1263
22	6223	1263
23	6223	1263
24	6223	1263
25	7321	1263
26	7380	1263
27	7439	1263
28	7498	1263
29	7557	1263
30	7616	1263
31	7675	1263
32	7734	1263
33	7793	1263
34	7852	1263
35	7911	1263
36	7970	1263

Stop Event

1×	node limit

Counts

45 → 46

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 0)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/6))))
(.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 1)
(.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))))
(.f64 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))) 1/2)
(.f64 4 (/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (.f64 (pow.f64 x 3) 2/3)))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3)))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/6))) 2)
(.f64 1/4 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 4))
(.f64 (/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)
(.f64 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))) 1/2)
(.f64 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (.f64 (pow.f64 x 3) 2/3)) 1/2)
(.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3)))) 1/2)
(/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 1)
(/.f64 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))) 2)
(/.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)
(/.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))))) 128)
(pow.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 1)
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(-.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(/.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))
(-.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 0)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/6))))
(.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 1)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 1 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))) 1/2)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 4 (/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 4) 1/4)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 1/2 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 1/2 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (.f64 (pow.f64 x 3) 2/3)))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 1/2 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/6))) 2)
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) -1/4) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 3) 1/6))))
(.f64 1/4 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 4))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (+.f64 (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3))) (neg.f64 (pow.f64 x 2))) 1/2)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (+.f64 (+.f64 x (+.f64 x (neg.f64 (pow.f64 x 2)))) (.f64 (pow.f64 x 3) 2/3)) 1/2)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(.f64 (+.f64 (neg.f64 (pow.f64 x 2)) (+.f64 x (+.f64 x (.f64 (pow.f64 x 3) 2/3)))) 1/2)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 1)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 2 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3))))) 2)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 4) 4)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8) 8)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 8)) 16)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))) 32)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 8)))) 64)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 3)))) 8))))) 128)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(pow.f64 (+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3)))) 1)
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(+.f64 0 (*.f64 1/3 (pow.f64 x 3)))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/6) (.f64 (pow.f64 x 3) 1/6))
(*.f64 1/3 (pow.f64 x 3))
(-.f64 (*.f64 1/3 (pow.f64 x 3)) 0)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 2)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (*.f64 (pow.f64 x 3) 4/3) 4)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 4/3)) 8)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))) 16)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))) 32)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 x 3) 4/3))))) 64)
(*.f64 1/3 (pow.f64 x 3))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 x 3) 4/3)))))) 128)
(*.f64 1/3 (pow.f64 x 3))
(pow.f64 (*.f64 1/3 (pow.f64 x 3)) 1)
(*.f64 1/3 (pow.f64 x 3))

eval49.0ms (0.5%)

Compiler: Compiled 2289 to 1879 computations (17.9% saved)

prune21.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	159	4	163

Error

Counts

163 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.3b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
✓	23.7b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	37.3b	(log.f64 (+.f64 1 x))
	23.0b	x

Compiler

Compiled 29 to 22 computations (24.1% saved)

eval1.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.3b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
✓	23.7b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	37.3b	(log.f64 (+.f64 1 x))
	23.0b	x

Compiler

Compiled 29 to 22 computations (24.1% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.3b	(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
✓	23.7b	(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
✓	37.3b	(log.f64 (+.f64 1 x))
	23.0b	x

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes17.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(log.f64 (+.f64 1 x))

Calls

3 calls:

8.0ms	x
4.0ms	(+.f64 1 x)
4.0ms	(log.f64 (+.f64 1 x))

Results

Error	Segments	Branch
0b	2	`x`
0b	2	`(log.f64 (+.f64 1 x))`
0b	2	`(+.f64 1 x)`

Compiler

Compiled 37 to 27 computations (27% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000692628768	637152703.6267103

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
4.0ms	(log.f64 (+.f64 1 x))
4.0ms	(+.f64 1 x)

Results

Error	Segments	Branch
0.1b	2	`x`
0.1b	2	`(log.f64 (+.f64 1 x))`
0.1b	2	`(+.f64 1 x)`

Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000692628768	637152703.6267103

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes15.0ms (0.2%)

Accuracy

Total -59.4b remaining (-13523.2%)

Threshold costs -59.4b (-13523.2%)

Counts

2 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 1 x))

Calls

3 calls:

6.0ms	(log.f64 (+.f64 1 x))
5.0ms	x
3.0ms	(+.f64 1 x)

Results

Error	Segments	Branch
0.4b	2	`x`
0.4b	2	`(log.f64 (+.f64 1 x))`
0.4b	2	`(+.f64 1 x)`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0000000000007605	1.000000692628768

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	136

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 1 x) 2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x)) (log.f64 (+.f64 1 x)))
(if (<=.f64 (+.f64 1 x) 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 (+.f64 1 x)))
(if (<=.f64 (+.f64 1 x) 2251800939585155/2251799813685248) x (log.f64 (+.f64 1 x)))
x

Outputs
(if (<=.f64 (+.f64 1 x) 2) (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x)) (log.f64 (+.f64 1 x)))
(if (<=.f64 (+.f64 1 x) 2) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 (+.f64 1 x)))
(if (<=.f64 (+.f64 1 x) 2251800939585155/2251799813685248) x (log.f64 (+.f64 1 x)))
x

Compiler

Compiled 56 to 43 computations (23.2% saved)

soundness0.0ms (0%)

end38.0ms (0.4%)

Compiler: Compiled 53 to 40 computations (24.5% saved)

Details

analyze3.0ms (0%)

sample6.4s (65.6%)

preprocess4.0ms (0%)

simplify10.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite461.0ms (4.7%)

simplify283.0ms (2.9%)

eval20.0ms (0.2%)

prune10.0ms (0.1%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite249.0ms (2.5%)

simplify314.0ms (3.2%)

localize16.0ms (0.2%)

series3.0ms (0%)

rewrite149.0ms (1.5%)

simplify1.7s (17.1%)

eval49.0ms (0.5%)

prune21.0ms (0.2%)

eval1.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes17.0ms (0.2%)

bsearch0.0ms (0%)

regimes15.0ms (0.2%)

bsearch0.0ms (0%)

regimes15.0ms (0.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end38.0ms (0.4%)

Profiling