Details

analyze1.0s (27.1%)

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)

sample1.2s (31.7%)

Results

969.0ms	8256×	body	128	valid
226.0ms	1879×	body	128	invalid

preprocess22.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
3
2

Call 2

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

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

Symmetry

(sort a1 a2)

(sort b1 b2)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

7.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	11.7b	(.f64 a1 (/.f64 a2 (.f64 b1 b2)))

Compiler

Compiled 62 to 37 computations (40.3% saved)

localize17.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.0b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

series12.0ms (0.3%)

Counts

1 → 48

Calls

12 calls:

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

rewrite44.0ms (1.2%)

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

simplify21.0ms (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)))

prune78.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	55	6	61
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Error

0.0b

Counts

63 → 7

Alt Table

Status	Error	Program
	11.3b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
▶	10.3b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	11.7b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	10.5b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	10.5b	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))
	10.8b	(*.f64 (/.f64 a2 b2) (/.f64 a1 b1))

Compiler

Compiled 902 to 329 computations (63.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.0b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

series3.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite45.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
178×	`pow1/3_binary64`
169×	`expm1-udef_binary64`
169×	`log1p-udef_binary64`
165×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2581	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

Outputs

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

simplify21.0ms (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

112 → 65

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)))

prune99.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Error

Counts

72 → 7

Alt Table

Status	Error	Program
	11.3b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	11.7b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
✓	10.3b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
▶	10.5b	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))
	11.4b	(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
	10.6b	(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))

Compiler

Compiled 797 to 296 computations (62.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)
✓	1.4b	(/.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2))
✓	2.9b	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))
✓	13.1b	(cbrt.f64 (*.f64 b1 b2))

series36.0ms (0.9%)

Counts

4 → 60

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	b2	@	0	(cbrt.f64 (*.f64 b1 b2))
4.0ms	b1	@	-inf	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))
3.0ms	a1	@	0	(/.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2))
3.0ms	b1	@	0	(/.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2))
2.0ms	b2	@	-inf	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))

rewrite75.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`log-prod_binary64`
223×	`expm1-udef_binary64`
223×	`log1p-udef_binary64`
194×	`log-pow_binary64`
173×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	258	37
2	3452	37

Stop Event

1×	node limit

Counts

4 → 150

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))) (cbrt.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))) (pow.f64 (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))) 2) (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a1) 2) (.f64 (cbrt.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 b1 b2))) (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a1) (.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 a1) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2) a1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (.f64 b1 b2))) (/.f64 a1 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (.f64 b1 b2))) (/.f64 (cbrt.f64 a1) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) 1) (/.f64 (cbrt.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a1) 1) (/.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4))) (/.f64 a1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 a1) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4))) (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4))) (/.f64 (sqrt.f64 a1) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 a1) (cbrt.f64 (.f64 b1 b2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2) a1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a1 (neg.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (.f64 a1 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a1) (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a1 3) (pow.f64 (.f64 b1 b2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 a1) (.f64 2/3 (log.f64 (.f64 b1 b2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 a1) (.f64 2/3 (log.f64 (.f64 b1 b2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a1 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) -2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 b1 b2)) (cbrt.f64 (.f64 b1 b2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 b1) (.f64 (cbrt.f64 b2) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 b1) 2) (pow.f64 (cbrt.f64 b2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 b1 b2) 1/6) (.f64 (pow.f64 (.f64 b1 b2) 1/6) (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 b1 b2)) (pow.f64 (.f64 b1 b2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 b1 b2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 b1 b2))) 2)) (cbrt.f64 (cbrt.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 b1 b2)) (cbrt.f64 b1)) (cbrt.f64 b2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 b1 b2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 b1 b2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 b1 b2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (*.f64 b1 b2)) 2)))))))

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-*l/_binary64`
474×	`associate-/r/_binary64`
401×	`associate-/l/_binary64`
369×	`associate-*r/_binary64`
263×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	696
1	44	696
2	96	696
3	258	696
4	1064	696
5	2948	696
6	4400	696
7	4521	696
8	4669	696
9	4826	696

Stop Event

1×	node limit

Counts

210 → 154

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 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))

Outputs
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(/.f64 (.f64 a1 a2) (.f64 b2 b1))
(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
(/.f64 a1 (/.f64 (*.f64 b2 b1) a2))
(.f64 a2 (/.f64 a1 (.f64 b2 b1)))
(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))
(.f64 a1 (pow.f64 (/.f64 1 (.f64 (pow.f64 b2 2) (pow.f64 b1 2))) 1/3))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 (.f64 b2 b2) (.f64 b1 b1)))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b1 (.f64 b1 (.f64 b2 b2))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b1 (.f64 b2 b1))))))
(.f64 a1 (cbrt.f64 (/.f64 1 (.f64 b2 (.f64 b2 (.f64 b1 b1))))))
(*.f64 a1 (cbrt.f64 (/.f64 (/.f64 (/.f64 (/.f64 1 b1) b2) b2) b1)))

prune368.0ms (9.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	180	2	182
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	182	7	189

Error

Counts

189 → 7

Alt Table

Status	Error	Program
	11.3b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	11.7b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
▶	8.3b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
	10.5b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
✓	10.3b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
✓	10.5b	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))

Compiler

Compiled 3437 to 1231 computations (64.2% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	4.7b	(/.f64 (*.f64 a1 a2) b1)
✓	5.4b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)

series11.0ms (0.3%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
4.0ms	b1	@	0	(/.f64 (*.f64 a1 a2) b1)
1.0ms	a1	@	inf	(/.f64 (*.f64 a1 a2) b1)
0.0ms	a1	@	-inf	(/.f64 (*.f64 a1 a2) b1)
0.0ms	b1	@	-inf	(/.f64 (*.f64 a1 a2) b1)
0.0ms	a2	@	-inf	(/.f64 (*.f64 a1 a2) b1)

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

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

Outputs

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

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

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	67	480
4	79	480
5	79	480

Stop Event

1×

saturated

Counts

145 → 99

Calls

Call 1

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

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

prune165.0ms (4.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	99	7	106

Error

Counts

106 → 7

Alt Table

Status	Error	Program
	11.3b	(pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)
✓	10.3b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))
	11.7b	(.f64 a1 (/.f64 a2 (.f64 b2 b1)))
	10.5b	(/.f64 (/.f64 (*.f64 a1 a2) b2) b1)
✓	8.3b	(/.f64 (/.f64 (*.f64 a1 a2) b1) b2)
✓	10.3b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
✓	10.5b	(.f64 (/.f64 a1 (pow.f64 (cbrt.f64 (.f64 b1 b2)) 2)) (/.f64 a2 (cbrt.f64 (*.f64 b1 b2))))

Compiler

Compiled 1304 to 470 computations (64% saved)

regimes315.0ms (8.3%)

Accuracy

Total -32.0b remaining (-3122.2%)

Threshold costs -32.0b (-3122.2%)

Counts

14 → 5

Calls

Call 1

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

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

Results

37.0ms	5.6b	`a1`
22.0ms	5.4b	`a2`
22.0ms	7.2b	`b1`
44.0ms	5.1b	`b2`
33.0ms	1.0b	`(/.f64 (.f64 a1 a2) (.f64 b1 b2))`
33.0ms	2.4b	`(*.f64 a1 a2)`
43.0ms	2.4b	`(*.f64 a1 a2)`
44.0ms	2.3b	`(*.f64 b1 b2)`
33.0ms	2.3b	`(*.f64 b1 b2)`

Compiler

Compiled 173 to 84 computations (51.4% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Calls

4 calls:

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

Steps

Iters	Point		Range
5e+286	∈ [	4.219288525145432e+286	,	#hash((type . real) (value . +inf))	]
0.0	∈ [	0.0	,	1.0318664138324e-310	]
-5e-294	∈ [	-8.814645624162022e-294	,	-2.300571663276e-312	]
#hash((type . real) (value . -inf))	∈ [	#hash((type . real) (value . -inf))	,	-3.3240228351052614e+287	]

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	113
1	37	113

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 (/.f64 b2 a1) b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -898846567431158/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))))

Outputs

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 (/.f64 b2 a1) b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -898846567431158/179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137216) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))))

(if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -inf.0) (/.f64 a2 (*.f64 b1 (/.f64 b2 a1))) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) -449423283715579/89884656743115795386465259539451236680898848947115328636715040578866337902750481566354238661203768010560056939935696678829394884407208311246423715319737062188883946712432742638151109800623047059726541476042502884419075341171231440736956555270413618581675255342293149119973622969239858152417678164812112068608) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 0) (*.f64 (/.f64 a1 b2) (/.f64 a2 b1)) (if (<=.f64 (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) 50000000000000003762608676247009359680713540241291819259627219853176217150773285501269553819831059961969610458775763570700520984086102794838510643846931101957819443487143599535802327035633384549613035605948983170368441251455495172717176776840351126669214318337732342424653859009670938624) (/.f64 (*.f64 a1 a2) (*.f64 b1 b2)) (pow.f64 (*.f64 (/.f64 b1 a1) (/.f64 b2 a2)) -1)))))

end57.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 486 to 180 computations (63% saved)

Details

analyze1.0s (27.1%)

sample1.2s (31.7%)

preprocess22.0ms (0.6%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize17.0ms (0.4%)

series12.0ms (0.3%)

rewrite44.0ms (1.2%)

simplify21.0ms (0.6%)

prune78.0ms (2%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite45.0ms (1.2%)

simplify21.0ms (0.6%)

prune99.0ms (2.6%)

localize8.0ms (0.2%)

series36.0ms (0.9%)

rewrite75.0ms (2%)

simplify76.0ms (2%)

prune368.0ms (9.7%)

localize5.0ms (0.1%)

series11.0ms (0.3%)

rewrite49.0ms (1.3%)

simplify21.0ms (0.5%)

prune165.0ms (4.3%)

regimes315.0ms (8.3%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end57.0ms (1.5%)

Profiling