Details

analyze932.0ms (26.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
25.3%	74.3%	0.4%	12
33.5%	65.6%	0.9%	13
38.5%	59.7%	1.8%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (31.3%)

Results

865.0ms	8256×	body	128	valid
226.0ms	1963×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

preprocess22.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

55×	`associate-/l*_binary64`
32×	`associate-/r/_binary64`
31×	`associate-/r*_binary64`
30×	`associate-*r/_binary64`
23×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	70
1	73	70
2	158	70
3	262	70
4	289	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3
2

Call 2

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(/.f64 (.f64 a2 a1) (.f64 b1 b2))
(/.f64 (.f64 b1 a2) (.f64 a1 b2))
(/.f64 (.f64 b2 a2) (.f64 b1 a1))
(/.f64 (.f64 a1 b1) (.f64 a2 b2))
(/.f64 (.f64 a1 b2) (.f64 b1 a2))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 (.f64 a2 a1) (.f64 b1 b2))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 (.f64 b1 a2) (.f64 a1 b2))
(*.f64 (/.f64 b1 a1) (/.f64 a2 b2))
(*.f64 (/.f64 b1 b2) (/.f64 a2 a1))
(.f64 a2 (/.f64 b1 (.f64 a1 b2)))
(/.f64 (.f64 b2 a2) (.f64 b1 a1))
(*.f64 (/.f64 b2 b1) (/.f64 a2 a1))
(*.f64 (/.f64 a2 b1) (/.f64 b2 a1))
(.f64 a2 (/.f64 b2 (.f64 a1 b1)))
(*.f64 b2 (/.f64 (/.f64 a2 b1) a1))
(/.f64 (.f64 a1 b1) (.f64 a2 b2))
(/.f64 (/.f64 (*.f64 a1 b1) a2) b2)
(*.f64 (/.f64 a1 a2) (/.f64 b1 b2))
(/.f64 (/.f64 a1 a2) (/.f64 b2 b1))
(/.f64 (.f64 a1 b2) (.f64 b1 a2))
(*.f64 (/.f64 a1 b1) (/.f64 b2 a2))
(*.f64 (/.f64 a1 a2) (/.f64 b2 b1))
(*.f64 a1 (/.f64 (/.f64 b2 b1) a2))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	67	10
4	79	10
5	79	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b1 b2))
(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

5.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	10.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	10.4b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 62 to 37 computations (40.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 a2 (*.f64 b1 b2))
✓	6.2b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

series16.0ms (0.5%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	a2	@	0	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
1.0ms	b1	@	0	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
1.0ms	a1	@	0	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
1.0ms	a2	@	inf	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
1.0ms	b2	@	0	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
86×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
86×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	17
2	2286	17

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 a2 (*.f64 b1 b2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 b1 (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 a2) (.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 a1 a2)) (.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 a2) b1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 a2) b2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 a2) 1) (.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 a2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 a1 a2) (sqrt.f64 (.f64 b1 b2))) (sqrt.f64 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 a2) a1) (.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 a2 b1) a1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (neg.f64 a2)) (.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a1 (/.f64 a2 b1)) b2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a2 (.f64 b1 b2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 a2 (.f64 b1 b2)) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (.f64 a1 a2) (*.f64 b1 b2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a2 (/.f64 1 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 (.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 a2 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a2) 2) (.f64 (cbrt.f64 a2) (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 a2 (.f64 b1 b2))) (pow.f64 (cbrt.f64 (/.f64 a2 (.f64 b1 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 a2 (.f64 b1 b2))) 2) (cbrt.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a2) (.f64 (sqrt.f64 a2) (/.f64 1 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 a2 (.f64 b1 b2))) (sqrt.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a2) (/.f64 1 (.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b1 b2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 b1) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a2) b1) (/.f64 (sqrt.f64 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) b1) (/.f64 (cbrt.f64 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a2) b2) (/.f64 (sqrt.f64 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) b2) (/.f64 (cbrt.f64 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (.f64 b1 b2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b1 (/.f64 a2 b2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a2 (.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 a2 (.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 b1 (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) b1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) b2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) 1) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (sqrt.f64 (*.f64 b1 b2))) (sqrt.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) a1) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 b1) a1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (neg.f64 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 a2 b1)) b2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a2 (/.f64 1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 a2 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a2) 2) (*.f64 (cbrt.f64 a2) (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))) (pow.f64 (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))) 2) (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 a2) (*.f64 (sqrt.f64 a2) (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 a2 (*.f64 b1 b2))) (sqrt.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 a2) (/.f64 1 (*.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b1 b2)) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 b1) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) 1) (/.f64 (cbrt.f64 a2) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) 1) (/.f64 (sqrt.f64 a2) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) b1) (/.f64 (sqrt.f64 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) b1) (/.f64 (cbrt.f64 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) b2) (/.f64 (sqrt.f64 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) b2) (/.f64 (cbrt.f64 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 a2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (/.f64 (sqrt.f64 a2) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 a2) 2) (sqrt.f64 (*.f64 b1 b2))) (/.f64 (cbrt.f64 a2) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (*.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b1 (/.f64 a2 b2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a2 (*.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a2 3) (pow.f64 (*.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a2 (*.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2))))))))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	20	732
2	41	732
3	69	732
4	79	732
5	79	732

Stop Event

1×

saturated

Counts

152 → 71

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))

prune54.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	62	9	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	63	10	73

Error

0.0b

Counts

73 → 10

Alt Table

Status	Error	Program
✓	10.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	10.5b	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
	11.0b	(/.f64 (/.f64 (.f64 a1 a2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 b1 b2)))
	12.1b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	12.4b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
	11.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	22.7b	(.f64 a1 (.f64 (/.f64 (sqrt.f64 a2) b1) (/.f64 (sqrt.f64 a2) b2)))
	11.5b	(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))
	29.8b	(pow.f64 (sqrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 2)
	11.2b	(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)

Compiler

Compiled 1016 to 429 computations (57.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))
✓	10.1b	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

series11.0ms (0.3%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	b1	@	inf	(/.f64 (.f64 b1 b2) (.f64 a1 a2))
1.0ms	b1	@	0	(/.f64 (.f64 b1 b2) (.f64 a1 a2))
1.0ms	b2	@	0	(/.f64 (.f64 b1 b2) (.f64 a1 a2))
1.0ms	a1	@	0	(/.f64 (.f64 b1 b2) (.f64 a1 a2))
0.0ms	a2	@	0	(/.f64 (.f64 b1 b2) (.f64 a1 a2))

rewrite77.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
165×	`log-div_binary64`
162×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	210	20
2	3008	20

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(/.f64 (.f64 b1 b2) (.f64 a1 a2))
(/.f64 1 (/.f64 (.f64 b1 b2) (.f64 a1 a2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b1 (/.f64 1 (/.f64 a2 (/.f64 b2 a1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b1 (.f64 b2 (/.f64 1 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b2 (.f64 b1 (/.f64 1 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b1 b2) (/.f64 1 (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) (pow.f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 2) (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) (.f64 (cbrt.f64 (.f64 b1 b2)) (/.f64 1 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) (sqrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 b1 b2)) (.f64 (sqrt.f64 (.f64 b1 b2)) (/.f64 1 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b1 (neg.f64 b2)) (/.f64 1 (.f64 a1 (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 a1) (/.f64 b2 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 a2) (/.f64 b1 a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 a1 a2)) (.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 (/.f64 a1 b1)) (/.f64 1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 a1) (/.f64 b1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 a2) (/.f64 b2 a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a1) (/.f64 (.f64 b1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) a1) (/.f64 (cbrt.f64 (.f64 b1 b2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 b1 b2)) a1) (/.f64 (sqrt.f64 (.f64 b1 b2)) a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 b1 b2)) a2) (/.f64 (sqrt.f64 (.f64 b1 b2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a2) (/.f64 b2 (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) a2) (/.f64 (cbrt.f64 (.f64 b1 b2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 1) (/.f64 b2 (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 1) (/.f64 b1 (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 (.f64 a1 a2)) b2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) 1) (/.f64 (cbrt.f64 (.f64 b1 b2)) (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 b1 b2)) 1) (/.f64 (sqrt.f64 (.f64 b1 b2)) (.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2))) (/.f64 b2 (cbrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2))) (/.f64 b1 (cbrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2))) (/.f64 (.f64 b1 b2) (cbrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) (cbrt.f64 (pow.f64 (.f64 a1 a2) 2))) (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 b1 b2)) (cbrt.f64 (pow.f64 (.f64 a1 a2) 2))) (/.f64 (sqrt.f64 (.f64 b1 b2)) (cbrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b1 (sqrt.f64 (.f64 a1 a2))) (/.f64 b2 (sqrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b2 (sqrt.f64 (.f64 a1 a2))) (/.f64 b1 (sqrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 a1 a2))) (/.f64 (.f64 b1 b2) (sqrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2)) (sqrt.f64 (.f64 a1 a2))) (/.f64 (cbrt.f64 (.f64 b1 b2)) (sqrt.f64 (.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 b1 b2) (.f64 a1 (neg.f64 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 b1 a1)) (/.f64 b2 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 b1 b2) 3) (pow.f64 (.f64 a1 a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 b2 a1) (/.f64 b1 a2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)))) (cbrt.f64 (exp.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a1 a2) (/.f64 1 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))) (cbrt.f64 (pow.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 2)) (cbrt.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))) (sqrt.f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (/.f64 (neg.f64 b1) (/.f64 a2 (/.f64 b2 a1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b1 b2)) (.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 b1 b2)) (pow.f64 (/.f64 1 (.f64 a1 a2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) 2) -1) (pow.f64 (cbrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) -1) (pow.f64 (sqrt.f64 (.f64 (/.f64 b2 a1) (/.f64 b1 a2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 b1 a1) -1) (pow.f64 (/.f64 b2 a2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 1) (/.f64 a2 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 b2) (/.f64 a1 b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 1) (/.f64 a1 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2)) 1) (/.f64 (cbrt.f64 (.f64 a1 a2)) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) 1) (/.f64 (sqrt.f64 (.f64 a1 a2)) (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) b2) (/.f64 (sqrt.f64 (.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 b1) (/.f64 a1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b1) (/.f64 a2 (/.f64 b2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2)) b1) (/.f64 (cbrt.f64 (.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 a1 a2)) b1) (/.f64 (sqrt.f64 (.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 b2) (/.f64 (.f64 a1 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2)) b2) (/.f64 (cbrt.f64 (.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a1 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2))) (/.f64 a2 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a2 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2))) (/.f64 a1 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (.f64 b1 b2) 2))) (/.f64 (.f64 a1 a2) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 a1 a2) 2)) 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Outputs

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a2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b1 a1) -1) (pow.f64 (/.f64 b2 a2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 1) (/.f64 a2 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 b2) (/.f64 a1 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 1) (/.f64 a1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b2) (/.f64 a2 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) 1) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) 1) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) b2) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 b1) (/.f64 a2 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 b1) (/.f64 a1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b1) (/.f64 a2 (/.f64 b2 a1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) b1) (/.f64 (cbrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) b1) (/.f64 (sqrt.f64 (*.f64 a1 a2)) b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (/.f64 (*.f64 a1 a2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) b2) (/.f64 (cbrt.f64 (*.f64 a1 a2)) b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (cbrt.f64 (pow.f64 (*.f64 b1 b2) 2))) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (cbrt.f64 (pow.f64 (*.f64 b1 b2) 2))) (/.f64 a1 (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 b1 b2) 2))) (/.f64 (*.f64 a1 a2) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (cbrt.f64 (pow.f64 (*.f64 b1 b2) 2))) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) (cbrt.f64 (pow.f64 (*.f64 b1 b2) 2))) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (cbrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a2 (sqrt.f64 (*.f64 b1 b2))) (/.f64 a1 (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 b1 b2))) (/.f64 (*.f64 a1 a2) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (sqrt.f64 (*.f64 b1 b2))) (/.f64 (cbrt.f64 (*.f64 a1 a2)) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 a1 a2)) (sqrt.f64 (*.f64 b1 b2))) (/.f64 (sqrt.f64 (*.f64 a1 a2)) (sqrt.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b1 (neg.f64 b2))) (*.f64 a1 (neg.f64 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 b2 (/.f64 a1 b1))) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 b1 b2)) a1) a2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 b1 b2)) a2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 b1 b2)) 1) (*.f64 a1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 b1 b2)) (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2))) (cbrt.f64 (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 b1 b2)) (sqrt.f64 (*.f64 a1 a2))) (sqrt.f64 (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b2 a1) (/.f64 b1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (*.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b2 a1) (/.f64 b1 a2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))))

simplify32.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

20×	`associate-/l*_binary64`
12×	`associate-/r*_binary64`
12×	`associate-/r/_binary64`
8×	`*-commutative_binary64`
8×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	960
1	25	960
2	59	960
3	97	960
4	109	960

Stop Event

1×

saturated

Counts

215 → 123

Calls

Call 1

Inputs
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 b2 b1) (.f64 a1 a2))
(*.f64 (/.f64 b2 a1) (/.f64 b1 a2))
(.f64 b1 (/.f64 b2 (.f64 a1 a2)))
(.f64 b2 (/.f64 b1 (.f64 a1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

prune88.0ms (2.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	125	8	133

Error

Counts

133 → 8

Alt Table

Status	Error	Program
✓	10.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	13.1b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	32.3b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 3))
	11.7b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
▶	10.7b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
	11.5b	(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))
	11.9b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

Compiler

Compiled 1828 to 693 computations (62.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 b1 b2))
✓	10.3b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))

series6.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	b2	@	-inf	(/.f64 1 (*.f64 b1 b2))
0.0ms	b1	@	-inf	(/.f64 1 (*.f64 b1 b2))
0.0ms	b1	@	0	(/.f64 1 (*.f64 b1 b2))
0.0ms	b2	@	0	(/.f64 1 (*.f64 b1 b2))
0.0ms	b1	@	inf	(/.f64 1 (*.f64 b1 b2))

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

541×	`log-prod_binary64`
253×	`pow2_binary64`
182×	`pow1/3_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	202	17
2	2562	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

Inputs
(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
(/.f64 1 (*.f64 b1 b2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a1 (/.f64 (*.f64 b1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (*.f64 b1 b2) a1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 a1 a2) 2)) (/.f64 (*.f64 b1 b2) (cbrt.f64 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 a1 a2)) (/.f64 (*.f64 b1 b2) (sqrt.f64 (*.f64 a1 a2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 a1 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) b2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) b1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (sqrt.f64 (*.f64 b1 b2))) (sqrt.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) 1) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 a1 a2) (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (*.f64 a1 a2)) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b1) (*.f64 a1 a2)) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a2) -1) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a1 a2) (/.f64 1 b1)) b2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (*.f64 b1 b2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3) (pow.f64 (*.f64 a1 a2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b1 b2) (*.f64 a1 a2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (*.f64 b1 b2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a1 a2) 3) (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3) (pow.f64 (*.f64 a1 a2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a1 (/.f64 a2 (*.f64 b1 b2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 b1 b2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 b1 b2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 b1 b2))) (cbrt.f64 (pow.f64 (*.f64 b1 b2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 b1 b2) -2)) (cbrt.f64 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 b1 b2) -1/2) (pow.f64 (*.f64 b1 b2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 b1 (neg.f64 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b1) (/.f64 1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b2) (/.f64 1 b1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)) (cbrt.f64 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b1 b2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b1 b2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b1 b2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (*.f64 b1 (neg.f64 b2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 b1 b2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 b1 b2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 b1 b2))))))))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
8×	`associate-/r*_binary64`
7×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	648
1	23	648
2	46	648
3	75	648
4	87	648
5	87	648

Stop Event

1×

saturated

Counts

141 → 72

Calls

Call 1

Inputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 (*.f64 a1 (/.f64 a2 b1)) b2)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))
(/.f64 1 (*.f64 b2 b1))

prune48.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Error

Counts

80 → 8

Alt Table

Status	Error	Program
✓	10.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	13.1b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	32.3b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 3))
	11.7b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	10.7b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
▶	11.5b	(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))
	11.9b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

Compiler

Compiled 1005 to 450 computations (55.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	6.2b	(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))
✓	6.3b	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))

series5.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))
0.0ms	a2	@	inf	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))
0.0ms	a2	@	-inf	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))
0.0ms	b1	@	inf	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))
0.0ms	b2	@	-inf	(*.f64 (/.f64 a2 b1) (/.f64 1 b2))

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
160×	`log-pow_binary64`
146×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	211	17
2	2892	17

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(*.f64 (/.f64 a2 b1) (/.f64 1 b2))
(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 a2 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2)))) (cbrt.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 b2 (/.f64 1 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 (*.f64 b1 b2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a2 (/.f64 b1 (/.f64 1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a2 b1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 b1 a2) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 b2 (/.f64 b1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b2 (/.f64 a2 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 b1 b2) a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b1 (/.f64 a2 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 b2) (/.f64 b1 a2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (/.f64 a2 b1)) 2) (/.f64 b2 (cbrt.f64 (/.f64 a2 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 a2 b1)) (/.f64 b2 (sqrt.f64 (/.f64 a2 b1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 b1 a2) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 b2) (/.f64 b1 a2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a2) (neg.f64 (*.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a2) (*.f64 (neg.f64 b2) b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 a2) (*.f64 b2 (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 a2 b2) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a2 b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 a2 b2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) 1) (*.f64 (neg.f64 b1) b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 -1) (*.f64 b1 (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) -1) (*.f64 (neg.f64 b1) (neg.f64 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 a2)) (*.f64 (neg.f64 b2) (neg.f64 b1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b1) (sqrt.f64 b2)) (sqrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b1) 1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b1) (pow.f64 (cbrt.f64 b2) 2)) (cbrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b2) 1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b2) (pow.f64 (cbrt.f64 b1) 2)) (cbrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 a2 b2) (sqrt.f64 b1)) (sqrt.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 a2) (/.f64 1 b2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 a2 b1)) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 b1) -1) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 b2) (neg.f64 a2)) (neg.f64 b1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a2 (*.f64 b1 b2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a2 (*.f64 b1 b2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a2 (*.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a2 (*.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 a2 b1) 3) (pow.f64 b2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 b1) 3) (/.f64 (pow.f64 b2 -2) b2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (/.f64 (pow.f64 b2 -2) b2) (pow.f64 (/.f64 a2 b1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 a2 (*.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2)))) (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 b1) a1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a2 a1) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 a2 b2) a1) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 a2) (*.f64 b1 b2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a1 (/.f64 a2 b2)) b1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 a2 b1) a1) 1) b2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (/.f64 a2 b1) a1) -1) (neg.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (/.f64 a2 (*.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3) (pow.f64 a1 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a1 3) (pow.f64 (/.f64 a2 (*.f64 b1 b2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 a2 (*.f64 b1 b2)) a1)))))))

simplify25.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	20	732
2	41	732
3	69	732
4	79	732
5	79	732

Stop Event

1×

saturated

Counts

163 → 82

Calls

Call 1

Inputs
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))

Outputs
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 a2 (*.f64 b2 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(/.f64 (.f64 a2 a1) (.f64 b2 b1))
(/.f64 (/.f64 a1 (/.f64 b2 a2)) b1)
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

prune51.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	82	8	90

Error

Counts

90 → 8

Alt Table

Status	Error	Program
✓	10.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	13.1b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	32.3b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 a2 b2) (/.f64 a1 b1)) 3))
	11.7b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
✓	10.7b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
✓	11.5b	(.f64 a1 (.f64 (/.f64 a2 b1) (/.f64 1 b2)))
	11.9b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))

Compiler

Compiled 960 to 382 computations (60.2% saved)

regimes694.0ms (19.6%)

Accuracy

Total 3.0b remaining (99.4%)

Threshold costs 0b (0%)

Counts

36 → 5

Compiler

Compiled 386 to 163 computations (57.8% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
0.0ms	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Steps

Iters	Point		Range
5e+294	∈ [	4.9303319505645554e+294	,	1.156679446931088e+299	]
0.0	∈ [	0.0	,	3.946821722174049e-296	]
-5e-267	∈ [	-6.183808626148162e-267	,	-1.9188528802980753e-267	]
-1e+304	∈ [	-1.238649585265686e+304	,	-1.3223626362651098e+291	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	110
1	37	110

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (*.f64 a2 a1) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 (/.f64 a2 b2) b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632) (/.f64 (*.f64 a2 a1) (*.f64 b1 b2)) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (*.f64 a2 a1) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 (/.f64 a2 b2) b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632) (/.f64 (*.f64 a2 a1) (*.f64 b1 b2)) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744) (/.f64 a2 (*.f64 b2 (/.f64 b1 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -1452164949685335/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 (/.f64 a2 b2) b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 4999999999999999906743388603115020788907780359910290665049241860223423941639750419942148863391427290368681348502011290786385146843522467955007764480084024749443603611970102342099448132228169829243943975742290002451379260550207232245491981306595417943121645130212363962285255265070690291922501632) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

end126.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 569 to 225 computations (60.5% saved)

Details

analyze932.0ms (26.3%)

sample1.1s (31.3%)

preprocess22.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series16.0ms (0.5%)

rewrite44.0ms (1.2%)

simplify25.0ms (0.7%)

prune54.0ms (1.5%)

localize6.0ms (0.2%)

series11.0ms (0.3%)

rewrite77.0ms (2.2%)

simplify32.0ms (0.9%)

prune88.0ms (2.5%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite57.0ms (1.6%)

simplify25.0ms (0.7%)

prune48.0ms (1.3%)

localize8.0ms (0.2%)

series5.0ms (0.2%)

rewrite51.0ms (1.4%)

simplify25.0ms (0.7%)

prune51.0ms (1.4%)

regimes694.0ms (19.6%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end126.0ms (3.6%)

Profiling