Details

analyze952.0ms (31.5%)

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)

sample1.1s (36%)

Results

881.0ms	8256×	body	128	valid
191.0ms	1871×	body	128	invalid

preprocess19.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3
2

Call 2

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

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

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 18 to 9 computations (50% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

6.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
	10.6b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))
▶	9.9b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 44 to 28 computations (36.4% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	9.7b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

series10.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite45.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`log-prod_binary64`
237×	`pow2_binary64`
170×	`pow1/3_binary64`
161×	`expm1-udef_binary64`
161×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	10
2	2503	10

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

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

Outputs

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

simplify18.0ms (0.6%)

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

107 → 61

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

eval10.0ms (0.3%)

Compiler: Compiled 735 to 222 computations (69.8% saved)

prune22.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	53	8	61
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Error

0.0b

Counts

63 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	13.0b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	11.7b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	10.5b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	10.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
	10.7b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))
	10.9b	(*.f64 (/.f64 a2 (/.f64 b1 a1)) (/.f64 1 b2))
	12.8b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))
▶	9.6b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

Compiler

Compiled 196 to 132 computations (32.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.3b	(/.f64 a1 (*.f64 b1 b2))
✓	5.8b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)

series8.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

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

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`log1p-expm1-u_binary64`
867×	`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	2289	17

Stop Event

1×	node limit

Counts

2 → 69

Calls

Call 1

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

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

Outputs

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

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

simplify24.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	19	732
2	40	732
3	67	732
4	79	732
5	79	732

Stop Event

1×

saturated

Counts

153 → 72

Calls

Call 1

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

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

eval12.0ms (0.4%)

Compiler: Compiled 776 to 279 computations (64% saved)

prune28.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	65	7	72
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	70	10	80

Error

Counts

80 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	13.0b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
	10.6b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	10.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
▶	9.9b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (*.f64 b2 (neg.f64 b1)))) a2)
	11.7b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	10.0b	(.f64 (.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
	10.9b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	10.5b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	10.6b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
	10.4b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))

Compiler

Compiled 240 to 160 computations (33.3% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 1 (*.f64 b2 (neg.f64 b1)))
✓	3.9b	(.f64 (neg.f64 a1) (/.f64 1 (.f64 b2 (neg.f64 b1))))
✓	5.8b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (*.f64 b2 (neg.f64 b1)))) a2)

series10.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	b2	@	0	(/.f64 1 (*.f64 b2 (neg.f64 b1)))
1.0ms	b2	@	inf	(/.f64 1 (*.f64 b2 (neg.f64 b1)))
1.0ms	b1	@	inf	(/.f64 1 (*.f64 b2 (neg.f64 b1)))
0.0ms	b1	@	0	(/.f64 1 (*.f64 b2 (neg.f64 b1)))
0.0ms	a1	@	0	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (*.f64 b2 (neg.f64 b1)))) a2)

rewrite51.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

933×	`log1p-expm1-u_binary64`
933×	`expm1-log1p-u_binary64`
122×	`add-sqr-sqrt_binary64`
120×	`*-un-lft-identity_binary64`
120×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	248	24
2	3326	24

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify28.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	900
1	23	900
2	46	900
3	73	900
4	85	900
5	85	900

Stop Event

1×

saturated

Counts

183 → 77

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 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 a1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))
(/.f64 -1 (*.f64 b2 b1))

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

eval15.0ms (0.5%)

Compiler: Compiled 860 to 385 computations (55.2% saved)

prune28.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	77	10	87

Error

Counts

87 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	10.9b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
▶	9.5b	(.f64 (.f64 (neg.f64 a1) (*.f64 -1 (/.f64 (/.f64 1 b2) b1))) a2)
	10.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
✓	9.9b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (*.f64 b2 (neg.f64 b1)))) a2)
	11.7b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	10.0b	(.f64 (.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
	10.5b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	10.6b	(/.f64 a2 (/.f64 b2 (/.f64 a1 b1)))
	10.4b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
	9.9b	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)

Compiler

Compiled 231 to 155 computations (32.9% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 b2) b1)
✓	3.9b	(.f64 (neg.f64 a1) (.f64 -1 (/.f64 (/.f64 1 b2) b1)))
✓	5.8b	(.f64 (.f64 (neg.f64 a1) (*.f64 -1 (/.f64 (/.f64 1 b2) b1))) a2)

series7.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

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

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
193×	`expm1-udef_binary64`
193×	`log1p-udef_binary64`
163×	`log-pow_binary64`
131×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	267	24
2	3566	24

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

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

Outputs

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

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

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

simplify28.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	900
1	25	900
2	48	900
3	75	900
4	87	900
5	87	900

Stop Event

1×

saturated

Counts

207 → 102

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

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

eval28.0ms (0.9%)

Compiler: Compiled 1481 to 785 computations (47% saved)

prune32.0ms (1.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	103	9	112

Error

Counts

112 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	10.5b	(/.f64 a2 (*.f64 b2 (/.f64 b1 a1)))
	10.9b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
✓	9.5b	(.f64 (.f64 (neg.f64 a1) (*.f64 -1 (/.f64 (/.f64 1 b2) b1))) a2)
	10.1b	(.f64 (.f64 a1 a2) (/.f64 1 (*.f64 b1 b2)))
✓	9.9b	(.f64 (.f64 (neg.f64 a1) (/.f64 1 (*.f64 b2 (neg.f64 b1)))) a2)
	11.7b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
	10.0b	(.f64 (.f64 (/.f64 1 b1) (/.f64 a1 b2)) a2)
	10.5b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	9.9b	(*.f64 (/.f64 (/.f64 a1 b2) b1) a2)

Compiler

Compiled 112 to 76 computations (32.1% saved)

regimes367.0ms (12.1%)

Accuracy

Total -27.6b remaining (-1109.7%)

Threshold costs -27.6b (-1109.7%)

Counts

20 → 4

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
35.0ms	6.7b	3	`a1`
35.0ms	5.9b	4	`a2`
35.0ms	6.0b	3	`b1`
78.0ms	4.0b	7	`b2`
26.0ms	2.5b	4	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
39.0ms	2.8b	5	`(*.f64 a1 a2)`
39.0ms	2.8b	5	`(*.f64 a1 a2)`
37.0ms	3.4b	5	`(*.f64 b1 b2)`
37.0ms	3.4b	5	`(*.f64 b1 b2)`

Compiler

Compiled 224 to 112 computations (50% saved)

bsearch1.0ms (0%)

Algorithm

3×	left-value

Steps

Time	Point		Range
0.0ms	5e+304	∈ [	3.2580473663879736e+304	,	#hash((type . real) (value . +inf))	]
0.0ms	-0.0	∈ [	-0.0	,	1.3736944411482e-310	]
0.0ms	-5e-313	∈ [	-7.3177485464e-313	,	-2.1e-322	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	91
1	34	91

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -1658079259099136/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2)))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -1658079259099136/3316158518186977171087283760642741158699936149735704467159471849921418683482035763477878926564345847729145083728966646356210626353328840324989147544629059746554141479347263264595425816446455256534872353644097455203319930608430165174159005378955830171087831965898486080345430665055936553487340789901656166618033483630075818541056) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2)))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -50600563327/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2)))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 49999999999999996962677625276823109300201436100586624765953857856616022815066169514216546287202538742184280590280810862893585968713180152651178994204334413874936507208410055205338551265812204529218599012742757995383198412754109163297745561348039749026730174593312862032038021904229799310374521740690718720) (*.f64 (*.f64 a1 a2) (/.f64 1 (*.f64 b1 b2))) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)))))

end56.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 396 to 162 computations (59.1% saved)

Details

analyze952.0ms (31.5%)

sample1.1s (36%)

preprocess19.0ms (0.6%)

simplify8.0ms (0.3%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

series10.0ms (0.3%)

rewrite45.0ms (1.5%)

simplify18.0ms (0.6%)

eval10.0ms (0.3%)

prune22.0ms (0.7%)

localize6.0ms (0.2%)

series8.0ms (0.3%)

rewrite46.0ms (1.5%)

simplify24.0ms (0.8%)

eval12.0ms (0.4%)

prune28.0ms (0.9%)

localize8.0ms (0.3%)

series10.0ms (0.3%)

rewrite51.0ms (1.7%)

simplify28.0ms (0.9%)

eval15.0ms (0.5%)

prune28.0ms (0.9%)

localize8.0ms (0.3%)

series7.0ms (0.2%)

rewrite50.0ms (1.7%)

simplify28.0ms (0.9%)

eval28.0ms (0.9%)

prune32.0ms (1.1%)

regimes367.0ms (12.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end56.0ms (1.9%)

Profiling