Details

analyze1.8s (33.5%)

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)

sample1.5s (27.6%)

Results

1.1s	8256×	body	128	valid
376.0ms	1868×	body	128	invalid

preprocess17.0ms (0.3%)

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
0
0
1
0
0
2
2
2
3
2
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 a1 (/.f64 (*.f64 b1 b2) a2))
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a2 a1) (.f64 b1 b2))
(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.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 a2 (/.f64 b1 (.f64 a1 b2)))
(.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 (/.f64 a2 b1) (/.f64 b2 a1))
(*.f64 b2 (/.f64 (/.f64 a2 b1) a1))
(*.f64 b2 (/.f64 (/.f64 a2 b1) a1))
(/.f64 (.f64 a1 b1) (.f64 a2 b2))
(*.f64 (/.f64 a1 a2) (/.f64 b1 b2))
(*.f64 (/.f64 a1 b2) (/.f64 b1 a2))
(/.f64 (*.f64 a1 (/.f64 b1 a2)) b2)
(*.f64 a1 (/.f64 (/.f64 b1 a2) b2))
(*.f64 a1 (/.f64 (/.f64 b1 a2) b2))
(/.f64 (.f64 a1 b2) (.f64 b1 a2))
(*.f64 (/.f64 a1 b1) (/.f64 b2 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 a1 (/.f64 (*.f64 b1 b2) a2))
(/.f64 a1 (/.f64 b2 (/.f64 a2 b1)))
(/.f64 a1 (*.f64 (/.f64 b1 a2) b2))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (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 (/.f64 a1 b1) (/.f64 a2 b2))
(.f64 a2 (/.f64 a1 (.f64 b1 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

prune2.0ms (0%)

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

9.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	13.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	14.8b	(/.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
✓	5.4b	(/.f64 a2 (*.f64 b1 b2))
✓	7.9b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

series22.0ms (0.4%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	a1	@	inf	(.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	@	0	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
1.0ms	a2	@	inf	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

rewrite41.0ms (0.8%)

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

Outputs

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

((#(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 expm1.f64 (log1p.f64 (/.f64 a2 (*.f64 b1 b2))))))) (#(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))))))

simplify141.0ms (2.7%)

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

prune74.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Error

0.0b

Counts

73 → 8

Alt Table

Status	Error	Program
	12.0b	(pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)
	13.1b	(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
✓	13.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	9.7b	(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
	15.4b	(/.f64 (/.f64 (.f64 a1 a2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 b1 b2)))
	12.6b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	11.2b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
	14.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 954 to 391 computations (59% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
✓	6.3b	(*.f64 (/.f64 a2 b1) a1)

series9.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

519×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2499	17

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

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

Outputs

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

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

simplify152.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	20	732
2	43	732
3	70	732
4	77	732

Stop Event

1×

saturated

Counts

164 → 84

Calls

Call 1

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

prune119.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	86	6	92

Error

Counts

92 → 6

Alt Table

Status	Error	Program
	12.0b	(pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)
✓	13.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	12.6b	(*.f64 (/.f64 (/.f64 a2 b1) 1) (/.f64 a1 b2))
	11.2b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
▶	9.7b	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
	14.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 1103 to 416 computations (62.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.2b	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
	6.3b	(*.f64 (/.f64 a2 b1) a1)

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a2	@	0	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
0.0ms	a2	@	-inf	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
0.0ms	b2	@	inf	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
0.0ms	a2	@	inf	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
0.0ms	a1	@	inf	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))

rewrite53.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
173×	`pow3_binary64`
159×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	208	10
2	2758	10

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify117.0ms (2.2%)

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	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

89 → 43

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))

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

prune159.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	76	6	82

Error

Counts

82 → 6

Alt Table

Status	Error	Program
	12.0b	(pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)
✓	13.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
	12.6b	(*.f64 (/.f64 (/.f64 a2 b1) 1) (/.f64 a1 b2))
▶	11.2b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
✓	9.7b	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
	14.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 985 to 425 computations (56.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.1b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
✓	7.7b	(/.f64 (*.f64 a1 a2) b1)

series44.0ms (0.8%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
39.0ms	b2	@	-inf	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
0.0ms	a1	@	inf	(/.f64 (*.f64 a1 a2) b1)
0.0ms	b2	@	0	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
0.0ms	a1	@	0	(/.f64 (*.f64 a1 a2) b1)
0.0ms	a1	@	-inf	(/.f64 (*.f64 a1 a2) b1)

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

531×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	172	17
2	2543	17

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (2.5%)

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	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

145 → 99

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))

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

prune264.0ms (5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Error

Counts

105 → 6

Alt Table

Status	Error	Program
✓	9.7b	(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
	12.6b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
✓	13.3b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
✓	11.2b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
	12.0b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
	14.2b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

Compiler

Compiled 1285 to 461 computations (64.1% saved)

regimes490.0ms (9.3%)

Accuracy

Total -32.9b remaining (-1419.3%)

Threshold costs -32.9b (-1419.3%)

Counts

14 → 5

Calls

Call 1

Inputs
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
(*.f64 (/.f64 (/.f64 a2 b1) 1) (/.f64 a1 b2))
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
(.f64 (.f64 (/.f64 a2 b1) a1) (/.f64 1 b2))
(pow.f64 (*.f64 (/.f64 a1 b1) (/.f64 a2 b2)) 1)
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 (*.f64 (/.f64 a2 b1) a1) b2)
(/.f64 (/.f64 (.f64 a1 a2) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (cbrt.f64 (*.f64 b1 b2)))
(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
(/.f64 (.f64 a1 a2) (.f64 b1 b2))

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

Results

49.0ms	5.7b	`a1`
67.0ms	6.6b	`a2`
83.0ms	5.3b	`b1`
72.0ms	7.4b	`b2`
42.0ms	2.4b	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
53.0ms	3.2b	`(*.f64 a1 a2)`
30.0ms	3.2b	`(*.f64 a1 a2)`
52.0ms	2.3b	`(*.f64 b1 b2)`
37.0ms	2.3b	`(*.f64 b1 b2)`

Compiler

Compiled 175 to 83 computations (52.6% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

0.0ms	(*.f64 b1 b2)
0.0ms	(*.f64 b1 b2)
0.0ms	(*.f64 b1 b2)
0.0ms	(*.f64 b1 b2)

Steps

Iters	Point		Range
1e+285	∈ [	8.087161417447955e+284	,	1.3341255531487174e+291	]
2e-181	∈ [	1.809442837097751e-181	,	2.4156940721732235e-159	]
-5e-266	∈ [	-9.404869930190098e-266	,	-6.4887990079785e-311	]
-1e+273	∈ [	-1.7813405651197307e+273	,	-1.4879202211882827e+270	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	86
1	35	86

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 b1 b2) -999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 a2 (/.f64 a1 (*.f64 b2 b1))) (if (<=.f64 (*.f64 b1 b2) 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

Outputs

(if (<=.f64 (*.f64 b1 b2) -999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 a2 (/.f64 a1 (*.f64 b2 b1))) (if (<=.f64 (*.f64 b1 b2) 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

(if (<=.f64 (*.f64 b1 b2) -999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 a2 (/.f64 a1 (*.f64 b1 b2))) (if (<=.f64 (*.f64 b1 b2) 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

(if (<=.f64 (*.f64 b1 b2) -999999999999999945402341696592674884578976541955442659132610359825718694242914119314842162820675279649039207299571308833846909191138684972507989282336695782607667040225918275050684065261167516978177354790265605065466066369376850351293060923539046438669680406904714953752576) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) -7260824748426675/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (*.f64 a2 (/.f64 a1 (*.f64 b1 b2))) (if (<=.f64 (*.f64 b1 b2) 7475102707912205/37375513539561023231108477793896786533525327931380202951304745106630862169773485150256437750311906506986637800026885384689161869077507588081685801531164378630160340372359290471078905382884178132992) (/.f64 (*.f64 (/.f64 a2 b1) a1) b2) (if (<=.f64 (*.f64 b1 b2) 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072) (*.f64 a1 (/.f64 a2 (*.f64 b1 b2))) (*.f64 (/.f64 a2 b2) (/.f64 a1 b1))))))

soundness0.0ms (0%)

end71.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 378 to 162 computations (57.1% saved)

Details

analyze1.8s (33.5%)

sample1.5s (27.6%)

preprocess17.0ms (0.3%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series22.0ms (0.4%)

rewrite41.0ms (0.8%)

simplify141.0ms (2.7%)

prune74.0ms (1.4%)

localize5.0ms (0.1%)

series9.0ms (0.2%)

rewrite44.0ms (0.8%)

simplify152.0ms (2.9%)

prune119.0ms (2.3%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite53.0ms (1%)

simplify117.0ms (2.2%)

prune159.0ms (3%)

localize5.0ms (0.1%)

series44.0ms (0.8%)

rewrite72.0ms (1.4%)

simplify130.0ms (2.5%)

prune264.0ms (5%)

regimes490.0ms (9.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end71.0ms (1.4%)

Profiling