Details

analyze63.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	81.2%	0.1%	0%	18.7%	0%	5
16%	12.5%	65.6%	0.1%	0%	21.9%	0%	6
27.9%	18.7%	48.4%	0.1%	0%	32.8%	0%	7
43.4%	28.1%	36.7%	0.1%	0%	35.1%	0%	8
55.6%	32.8%	26.1%	0.1%	0%	41%	0%	9
66.4%	38.2%	19.3%	0.1%	0%	42.3%	0%	10
75.1%	41%	13.6%	0.1%	0%	45.4%	0%	11
81.6%	43.9%	9.9%	0.1%	0%	46.1%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (37.6%)

Results

1.1s	8256×	body	256	valid
81.0ms	656×	body	256	invalid

Bogosity

preprocess401.0ms (12.2%)

Algorithm

2×	egg-herbie

Rules

855×	`fma-def_binary64`
576×	`distribute-rgt-in_binary64`
560×	`unsub-neg_binary64`
508×	`fma-neg_binary64`
432×	`distribute-rgt-out--_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	27	24
2	49	24
3	105	24
4	282	24
5	830	24
6	2127	24
7	3885	24
8	5644	24
9	6206	24
10	6319	24
11	6433	24
12	6513	24
13	6513	24
14	7894	24
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (-.f64 (.f64 b b) (.f64 a a)))
(sqrt.f64 (fma.f64 b b (*.f64 a (neg.f64 a))))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify104.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-def_binary64`
609×	`unsub-neg_binary64`
578×	`fma-neg_binary64`
439×	`distribute-rgt-out--_binary64`
409×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	16	12
2	28	12
3	57	12
4	131	12
5	382	12
6	840	12
7	1673	12
8	3968	12
9	5453	12
10	6317	12
11	6738	12
12	6984	12
13	7099	12
14	7099	12

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Outputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(sqrt.f64 (fma.f64 a a (*.f64 b (neg.f64 b))))

eval1.0ms (0%)

Compiler: Compiled 18 to 10 computations (44.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

31.8b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.8b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.0b	(-.f64 (.f64 a a) (.f64 b b))
✓	29.9b	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

Compiler

Compiled 25 to 6 computations (76% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	b	@	inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
1.0ms	b	@	0	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
0.0ms	b	@	-inf	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))

rewrite50.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`pow1_binary64`
757×	`add-log-exp_binary64`
757×	`log1p-expm1-u_binary64`
757×	`expm1-log1p-u_binary64`
737×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	22
1	159	22
2	2211	22

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 a b) 1/2) (pow.f64 (-.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (sqrt.f64 (fma.f64 a a (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (+.f64 (.f64 b (neg.f64 b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 b (neg.f64 b)) 1 (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (neg.f64 b)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 a a) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (fma.f64 a a (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a b) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 a b) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4)) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)) (-.f64 (pow.f64 a 6) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (.f64 b b)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 a a (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (neg.f64 (fma.f64 a a (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 b (neg.f64 b)) 3)) (+.f64 (pow.f64 a 4) (-.f64 (.f64 (.f64 b (neg.f64 b)) (.f64 b (neg.f64 b))) (.f64 (.f64 a a) (.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 b (neg.f64 b)) (.f64 b (neg.f64 b)))) (-.f64 (.f64 a a) (.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b)))) (-.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (.f64 a a) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (.f64 b b)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 a b) 1/2) (pow.f64 (-.f64 a b) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (*.f64 (*.f64 b (neg.f64 b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a a) (+.f64 (*.f64 b (neg.f64 b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (*.f64 b (neg.f64 b)) 1 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (+.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (neg.f64 b)) (*.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (*.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (fma.f64 a a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 a b) (-.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 a b) (+.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4)) (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))) (cbrt.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)) (-.f64 (pow.f64 a 6) (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 a a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (neg.f64 (fma.f64 a a (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 6) (pow.f64 (*.f64 b (neg.f64 b)) 3)) (+.f64 (pow.f64 a 4) (-.f64 (*.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b))) (*.f64 (*.f64 a a) (*.f64 b (neg.f64 b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (-.f64 (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))) (*.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 4) (*.f64 (*.f64 b (neg.f64 b)) (*.f64 b (neg.f64 b)))) (-.f64 (*.f64 a a) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 (fma.f64 (neg.f64 b) b (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))) (-.f64 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 a a) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (*.f64 a a) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a a) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 a a) (*.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) 2) (cbrt.f64 (-.f64 (*.f64 a a) (*.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (*.f64 b (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))))))

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
429×	`distribute-rgt-in_binary64`
394×	`fma-neg_binary64`
382×	`distribute-lft-in_binary64`
319×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2258
1	639	2115
2	2628	2007

Stop Event

1×	node limit

Counts

123 → 157

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 -1 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (.f64 -1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(pow.f64 a 2)
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(*.f64 -1 (pow.f64 b 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(+.f64 (*.f64 -1 (pow.f64 b 2)) (pow.f64 a 2))
(-.f64 (+.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1)
(.f64 1 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (cbrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (pow.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1/4))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 a a) (*.f64 b b)))))
(*.f64 (sqrt.f64 (+.f64 a b)) (sqrt.f64 (-.f64 a b)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) 1/2))
(*.f64 (pow.f64 (+.f64 a b) 1/2) (pow.f64 (-.f64 a b) 1/2))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (sqrt.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 1)
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) 2)
(fabs.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(+.f64 (.f64 a a) (.f64 b (neg.f64 b)))
(+.f64 (.f64 a a) (.f64 (*.f64 b (neg.f64 b)) 1))
(+.f64 (.f64 a a) (+.f64 (.f64 b (neg.f64 b)) (fma.f64 (neg.f64 b) b (*.f64 b b))))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (.f64 b (neg.f64 b)) 1 (.f64 b b)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (pow.f64 b 4)) (*.f64 b b)))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 1))
(+.f64 (-.f64 (.f64 a a) (.f64 b b)) (+.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))
(+.f64 (.f64 b (neg.f64 b)) (.f64 a a))
(+.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (-.f64 (.f64 a a) (*.f64 b b)))
(.f64 (-.f64 (.f64 a a) (*.f64 b b)) 1)
(.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 1 (-.f64 (.f64 a a) (*.f64 b b)))
(.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (*.f64 b b))) 2))
(.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (-.f64 (.f64 a a) (*.f64 b b))))
(.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (/.f64 1 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (.f64 a b) 2))))
(.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (fma.f64 a a (.f64 b b))))
(*.f64 (+.f64 a b) (-.f64 a b))
(*.f64 (-.f64 a b) (+.f64 a b))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4)) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1/4))
(.f64 (.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b)))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))))
(/.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)) (-.f64 (pow.f64 a 6) (pow.f64 b 6))))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 b b)) (-.f64 (pow.f64 a 4) (pow.f64 b 4))))
(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2)))
(/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 a a (*.f64 b b)))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6))) (neg.f64 (+.f64 (+.f64 (pow.f64 a 4) (pow.f64 b 4)) (pow.f64 (*.f64 a b) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4))) (neg.f64 (fma.f64 a a (*.f64 b b))))
(/.f64 (+.f64 (pow.f64 a 6) (pow.f64 (.f64 b (neg.f64 b)) 3)) (+.f64 (pow.f64 a 4) (-.f64 (.f64 (.f64 b (neg.f64 b)) (.f64 b (neg.f64 b))) (.f64 (.f64 a a) (*.f64 b (neg.f64 b))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))
(/.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 b (neg.f64 b)) (.f64 b (neg.f64 b)))) (-.f64 (.f64 a a) (*.f64 b (neg.f64 b))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b)))) (-.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))
(cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 a a) (.f64 b b))))
(log1p.f64 (expm1.f64 (-.f64 (.f64 a a) (.f64 b b))))
(exp.f64 (log.f64 (-.f64 (.f64 a a) (.f64 b b))))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(fma.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(fma.f64 1 (.f64 a a) (.f64 b (neg.f64 b)))
(fma.f64 1 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (*.f64 b (neg.f64 b)))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))

Outputs
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a (/.f64 b a))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a (/.f64 b a)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)) (fma.f64 (sqrt.f64 -1) b (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (.f64 b b) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (*.f64 -1/2 (/.f64 b (/.f64 a b)))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 b) (/.f64 a b))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) a) (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (/.f64 (*.f64 -1/2 b) (/.f64 a b)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (.f64 -1 a))
(fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a))
(fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a))
(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1 a)))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (neg.f64 a)))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (fma.f64 1/2 (/.f64 b (/.f64 a b)) (neg.f64 a)))
(-.f64 (fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (/.f64 (*.f64 1/2 b) (/.f64 a b))) a)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 2) a)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))) (.f64 -1 a))))
(fma.f64 1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (*.f64 b b) a) (fma.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (neg.f64 a))))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (/.f64 b (/.f64 a b)) (*.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a))
(fma.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) 1/8 (-.f64 (fma.f64 1/2 (.f64 (/.f64 b a) b) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)))) a))
a
(+.f64 a (*.f64 -1/2 (/.f64 (pow.f64 b 2) a)))
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
(fma.f64 -1/2 (*.f64 (/.f64 b a) b) a)
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (.f64 -1/2 (/.f64 (pow.f64 b 2) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (.f64 -1/2 (/.f64 (.f64 b b) a))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (*.f64 -1/2 (/.f64 b (/.f64 a b)))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (/.f64 (*.f64 -1/2 b) (/.f64 a b))))
(+.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 b 2) a)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 (.f64 b b) a) (.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 b (/.f64 a b)) (*.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5))))))
(+.f64 a (fma.f64 -1/8 (/.f64 (pow.f64 b 4) (pow.f64 a 3)) (fma.f64 -1/16 (/.f64 (pow.f64 b 6) (pow.f64 a 5)) (/.f64 (*.f64 -1/2 b) (/.f64 a b)))))
(*.f64 (sqrt.f64 -1) b)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b))
(fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (*.f64 (sqrt.f64 -1) b))
(fma.f64 (sqrt.f64 -1) b (.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b))))
(fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a (/.f64 b a))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (*.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (.f64 (sqrt.f64 -1) b)))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (.f64 1/2 (*.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 (sqrt.f64 -1) b (.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 a (/.f64 b a)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) (fma.f64 1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (fma.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5))) (*.f64 (sqrt.f64 -1) b))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)) (fma.f64 (sqrt.f64 -1) b (.f64 1/16 (/.f64 (pow.f64 a 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 b 5)))))))
(fma.f64 -1/8 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) (fma.f64 1/2 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)) (fma.f64 (sqrt.f64 -1) b (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 a 6) (pow.f64 b 5))))))
(.f64 -1 (.f64 (sqrt.f64 -1) b))
(neg.f64 (*.f64 (sqrt.f64 -1) b))
(*.f64 b (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))))
(fma.f64 -1 (.f64 (sqrt.f64 -1) b) (.f64 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) -1/2))
(-.f64 (/.f64 (.f64 (.f64 -1/2 a) a) (.f64 (sqrt.f64 -1) b)) (.f64 (sqrt.f64 -1) b))
(-.f64 (/.f64 (/.f64 (.f64 a a) (/.f64 b -1/2)) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) b))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) b)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 a 2) (.f64 (sqrt.f64 -1) b))) (.f64 1/8 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))))))
(fma.f64 -1 (.f64 (sqrt.f64 -1) b) (fma.f64 -1/2 (/.f64 (.f64 a a) (.f64 (sqrt.f64 -1) b)) (.f64 (/.f64 (pow.f64 a 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 b 3))) 1/8)))
(-.f64 (fma.f64 (.f64 (/.f64 a (sqrt.f64 -1)) (/.f64 a b)) -1/2 (.f64 (/.f64 (pow.f64 a 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 b 3))) 1/8)) (.f64 (sqrt.f64 -1) b))
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(/.f64 (-.f64 (pow.f64 a 6) (pow.f64 b 6)) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (pow.f64 (*.f64 b a) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (-.f64 (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))) (.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) 3)) (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (-.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (-.f64 (.f64 a a) (.f64 b b))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) (pow.f64 (.f64 0 (.f64 b b)) 3)) (fma.f64 (.f64 0 (.f64 b b)) (+.f64 (-.f64 (.f64 0 (.f64 b b)) (.f64 a a)) (.f64 b b)) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2)))
(/.f64 (+.f64 0 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3)) (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(/.f64 (-.f64 (pow.f64 a 4) (.f64 (.f64 b (neg.f64 b)) (.f64 b (neg.f64 b)))) (-.f64 (.f64 a a) (*.f64 b (neg.f64 b))))
(.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (/.f64 1 (fma.f64 a a (.f64 b b))))
(/.f64 (-.f64 (pow.f64 a 4) (pow.f64 b 4)) (fma.f64 a a (*.f64 b b)))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (fma.f64 (neg.f64 b) b (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b)))) (-.f64 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (.f64 b b))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 0 (.f64 b b)) (.f64 0 (.f64 b b)))) (fma.f64 (+.f64 b a) (-.f64 a b) (.f64 0 (*.f64 b b))))
(/.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) (-.f64 (.f64 a a) (.f64 b b)))
(pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 1)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2) 1/2)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3) 1/3)
(-.f64 (.f64 a a) (.f64 b b))
(pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 3)
(-.f64 (.f64 a a) (.f64 b b))
(sqrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 2))
(-.f64 (.f64 a a) (.f64 b b))
(log.f64 (pow.f64 (exp.f64 (+.f64 a b)) (-.f64 a b)))
(-.f64 (.f64 a a) (.f64 b b))
(cbrt.f64 (pow.f64 (-.f64 (.f64 a a) (.f64 b b)) 3))
(-.f64 (.f64 a a) (.f64 b b))
(expm1.f64 (log1p.f64 (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (.f64 a a) (.f64 b b))
(log1p.f64 (expm1.f64 (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (.f64 a a) (.f64 b b))
(exp.f64 (log.f64 (-.f64 (.f64 a a) (.f64 b b))))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 a a (*.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 1 (.f64 a a) (.f64 b (neg.f64 b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 1 (-.f64 (.f64 a a) (.f64 b b)) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) 2) (cbrt.f64 (-.f64 (.f64 a a) (.f64 b b))) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))
(fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (*.f64 b (neg.f64 b)))
(-.f64 (.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2)) (.f64 b b))
(fma.f64 (+.f64 a b) (-.f64 a b) (fma.f64 (neg.f64 b) b (*.f64 b b)))
(-.f64 (.f64 a a) (.f64 b b))

eval101.0ms (3%)

Compiler: Compiled 2882 to 1389 computations (51.8% saved)

prune23.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	152	5	157
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	5	158

Error

Counts

158 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.2b	(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)
▶	35.1b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
▶	31.0b	(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
▶	35.3b	(neg.f64 a)
	28.4b	a

Compiler

Compiled 39 to 25 computations (35.9% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (/.f64 (.f64 b b) a))
✓	10.7b	(/.f64 (*.f64 b b) a)

Compiler

Compiled 29 to 10 computations (65.5% saved)

series6.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(/.f64 (*.f64 b b) a)
1.0ms	b	@	inf	(/.f64 (*.f64 b b) a)
1.0ms	b	@	0	(/.f64 (*.f64 b b) a)
0.0ms	a	@	inf	(/.f64 (*.f64 b b) a)
0.0ms	a	@	-inf	(/.f64 (*.f64 b b) a)

rewrite48.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
692×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1932	17

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(/.f64 (*.f64 b b) a)
(.f64 -1/2 (/.f64 (.f64 b b) a))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (*.f64 b b) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (/.f64 1 (/.f64 a b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 b (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 b b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (*.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 2) (cbrt.f64 (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (neg.f64 b)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b 1) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b a) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (*.f64 b b) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (*.f64 b b) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 b b) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (sqrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (*.f64 b b)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 b b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (/.f64 (*.f64 b b) a) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 a (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (*.f64 b b) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b b) -1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 b b) -1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 b b) -1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b -1/2) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b (neg.f64 b)) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 b) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 b (neg.f64 b))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 b (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (/.f64 (pow.f64 b 4) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 b b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (*.f64 b b) a) -1/2)))))))

simplify83.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

916×	`log-div_binary64`
690×	`times-frac_binary64`
620×	`associate-/l*_binary64`
478×	`unswap-sqr_binary64`
475×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	926
1	355	917
2	1437	911
3	6842	911

Stop Event

1×	node limit

Counts

103 → 69

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(-.f64 (+.f64 1 (/.f64 (*.f64 b b) a)) 1)
(*.f64 b (/.f64 1 (/.f64 a b)))
(.f64 b (.f64 b (/.f64 1 a)))
(.f64 (.f64 b b) (/.f64 1 a))
(.f64 (/.f64 (.f64 b b) a) 1)
(.f64 1 (/.f64 (.f64 b b) a))
(.f64 (cbrt.f64 (pow.f64 b 4)) (.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 1 a)))
(.f64 (cbrt.f64 (/.f64 (.f64 b b) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 b b) a)) 2) (cbrt.f64 (/.f64 (*.f64 b b) a)))
(*.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(.f64 (.f64 b (neg.f64 b)) (/.f64 1 (neg.f64 a)))
(.f64 (/.f64 1 a) (.f64 b b))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) a))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 b b) (cbrt.f64 a)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (.f64 b b) a)))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 b b) (sqrt.f64 a)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)))
(pow.f64 (/.f64 (*.f64 b b) a) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 3)
(pow.f64 (/.f64 b (sqrt.f64 a)) 2)
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(neg.f64 (/.f64 (*.f64 b b) (neg.f64 a)))
(sqrt.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)))
(log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 a 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))
(exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 b b) a) -1/2)) 1)
(/.f64 -1/2 (/.f64 a (*.f64 b b)))
(/.f64 1 (/.f64 a (.f64 (.f64 b b) -1/2)))
(/.f64 (.f64 (.f64 b b) -1/2) a)
(/.f64 (neg.f64 (.f64 (.f64 b b) -1/2)) (neg.f64 a))
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) 1) a)
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (*.f64 b -1/2) (/.f64 a b))
(/.f64 (.f64 (.f64 b (neg.f64 b)) -1/2) (neg.f64 a))
(/.f64 (*.f64 -1/2 b) (/.f64 a b))
(/.f64 (.f64 -1/2 (.f64 b (neg.f64 b))) (neg.f64 a))
(pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 1)
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 b (sqrt.f64 a))) 2)
(sqrt.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a))))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 b b) a)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))

Outputs
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(-.f64 (+.f64 1 (/.f64 (*.f64 b b) a)) 1)
(*.f64 b (/.f64 b a))
(*.f64 b (/.f64 1 (/.f64 a b)))
(*.f64 b (/.f64 b a))
(.f64 b (.f64 b (/.f64 1 a)))
(*.f64 b (/.f64 b a))
(.f64 (.f64 b b) (/.f64 1 a))
(*.f64 b (/.f64 b a))
(.f64 (/.f64 (.f64 b b) a) 1)
(*.f64 b (/.f64 b a))
(.f64 1 (/.f64 (.f64 b b) a))
(*.f64 b (/.f64 b a))
(.f64 (cbrt.f64 (pow.f64 b 4)) (.f64 (pow.f64 (cbrt.f64 b) 2) (/.f64 1 a)))
(.f64 (.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 a))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) a) (pow.f64 (cbrt.f64 b) 2))
(.f64 (cbrt.f64 (/.f64 (.f64 b b) a)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 2))
(*.f64 b (/.f64 b a))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 b b) a)) 2) (cbrt.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b (sqrt.f64 a)) (/.f64 b (sqrt.f64 a)))
(*.f64 b (/.f64 b a))
(.f64 (.f64 b (neg.f64 b)) (/.f64 1 (neg.f64 a)))
(*.f64 b (/.f64 b a))
(.f64 (/.f64 1 a) (.f64 b b))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) 1) (/.f64 (pow.f64 (cbrt.f64 b) 2) a))
(.f64 (.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 a))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) a) (pow.f64 (cbrt.f64 b) 2))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 a) 2)) (/.f64 b (cbrt.f64 a)))
(*.f64 b (/.f64 b a))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (.f64 b b) (cbrt.f64 a)))
(*.f64 b (/.f64 b a))
(.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (/.f64 (.f64 b b) a)))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (/.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 a) 2)))
(/.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 b 4))))
(.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 (.f64 b b) (sqrt.f64 a)))
(*.f64 b (/.f64 b a))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) (sqrt.f64 a)) (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 a)))
(.f64 (.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) (/.f64 1 a))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 b 4)) (pow.f64 (cbrt.f64 b) 2)) a)
(*.f64 (/.f64 (cbrt.f64 (pow.f64 b 4)) a) (pow.f64 (cbrt.f64 b) 2))
(pow.f64 (/.f64 (*.f64 b b) a) 1)
(*.f64 b (/.f64 b a))
(pow.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3) 1/3)
(*.f64 b (/.f64 b a))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 b b) a)) 3)
(*.f64 b (/.f64 b a))
(pow.f64 (/.f64 b (sqrt.f64 a)) 2)
(*.f64 b (/.f64 b a))
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(*.f64 b (/.f64 b a))
(neg.f64 (/.f64 (*.f64 b b) (neg.f64 a)))
(*.f64 b (/.f64 b a))
(sqrt.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)))
(fabs.f64 (*.f64 b (/.f64 b a)))
(log.f64 (exp.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 b b) a) 3))
(*.f64 b (/.f64 b a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 a 3)))
(*.f64 b (/.f64 b a))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(exp.f64 (log.f64 (/.f64 (*.f64 b b) a)))
(*.f64 b (/.f64 b a))
(-.f64 (+.f64 1 (.f64 (/.f64 (.f64 b b) a) -1/2)) 1)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 -1/2 (/.f64 a (*.f64 b b)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 1 (/.f64 a (.f64 (.f64 b b) -1/2)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (.f64 (.f64 b b) -1/2) a)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (neg.f64 (.f64 (.f64 b b) -1/2)) (neg.f64 a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) 1) a)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (/.f64 (.f64 (.f64 b b) -1/2) (sqrt.f64 a)) (sqrt.f64 a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (*.f64 b -1/2) (/.f64 a b))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (.f64 (.f64 b (neg.f64 b)) -1/2) (neg.f64 a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (*.f64 -1/2 b) (/.f64 a b))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(/.f64 (.f64 -1/2 (.f64 b (neg.f64 b))) (neg.f64 a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 1)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(pow.f64 (pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 3) 1/3)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(pow.f64 (cbrt.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)) 3)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(pow.f64 (*.f64 (sqrt.f64 -1/2) (/.f64 b (sqrt.f64 a))) 2)
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(sqrt.f64 (.f64 1/4 (/.f64 (pow.f64 b 4) (.f64 a a))))
(sqrt.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1/4))
(fabs.f64 (*.f64 (/.f64 b a) (/.f64 b -2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (/.f64 (*.f64 b b) a)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(cbrt.f64 (pow.f64 (.f64 (/.f64 (.f64 b b) a) -1/2) 3))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(expm1.f64 (log1p.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(log1p.f64 (expm1.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))
(exp.f64 (log.f64 (.f64 (/.f64 (.f64 b b) a) -1/2)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 b -2))

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 1/2 b) (/.f64 a b))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (*.f64 1/2 b) (/.f64 a b))
0.0ms	b	@	inf	(/.f64 (*.f64 1/2 b) (/.f64 a b))
0.0ms	a	@	0	(/.f64 (*.f64 1/2 b) (/.f64 a b))
0.0ms	a	@	-inf	(/.f64 (*.f64 1/2 b) (/.f64 a b))
0.0ms	b	@	-inf	(/.f64 (*.f64 1/2 b) (/.f64 a b))

rewrite80.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
861×	`add-log-exp_binary64`
861×	`log1p-expm1-u_binary64`
861×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2272	10

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (*.f64 1/2 b) (/.f64 a b))

Outputs

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

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

909×	`log-div_binary64`
701×	`associate-/l*_binary64`
542×	`times-frac_binary64`
531×	`fma-def_binary64`
373×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	866
1	385	866
2	1443	866
3	6739	866

Stop Event

1×	node limit

Counts

75 → 57

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 b (/.f64 b a)))) 1)
(.f64 1/2 (.f64 b (/.f64 b a)))
(*.f64 1/2 (/.f64 b (/.f64 a b)))
(.f64 1/2 (/.f64 1 (/.f64 a (.f64 b b))))
(.f64 b (.f64 1/2 (/.f64 b a)))
(.f64 (.f64 1/2 b) (/.f64 b a))
(.f64 (.f64 1/2 (*.f64 b (/.f64 b a))) 1)
(.f64 1 (.f64 1/2 (*.f64 b (/.f64 b a))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 2) (cbrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (.f64 (cbrt.f64 (.f64 1/2 b)) (/.f64 b a)))
(.f64 (sqrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) (sqrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))))
(.f64 (sqrt.f64 (.f64 1/2 b)) (.f64 (sqrt.f64 (.f64 1/2 b)) (/.f64 b a)))
(.f64 (.f64 b -1/2) (/.f64 1 (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(*.f64 (/.f64 b a) (/.f64 1/2 (/.f64 1 b)))
(.f64 (.f64 1/2 (/.f64 b a)) b)
(.f64 (/.f64 b 1) (.f64 1/2 (/.f64 b a)))
(*.f64 (/.f64 1/2 a) (/.f64 b (/.f64 1 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (/.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) 1) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (/.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) a) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (/.f64 1 b)))
(.f64 (/.f64 1 a) (/.f64 (.f64 1/2 b) (/.f64 1 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) a) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (/.f64 1 b)))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 1/2 (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (.f64 1/2 b) (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 1/2 (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 (.f64 1/2 b) (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (.f64 1/2 b) 1) (/.f64 b a))
(.f64 (/.f64 (.f64 1/2 b) (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) 1) b)
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 1)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 3)
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 2)
(pow.f64 (.f64 2 (/.f64 a (.f64 b b))) -1)
(neg.f64 (/.f64 (*.f64 1/2 b) (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) b) (/.f64 b a)))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (/.f64 a b) 3)))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))

Outputs
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(-.f64 (+.f64 1 (.f64 1/2 (.f64 b (/.f64 b a)))) 1)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 1/2 (/.f64 b (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 1/2 (/.f64 1 (/.f64 a (.f64 b b))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 b (.f64 1/2 (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 1/2 b) (/.f64 b a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 1/2 (*.f64 b (/.f64 b a))) 1)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 1 (.f64 1/2 (*.f64 b (/.f64 b a))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))) 2))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 2) (cbrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (.f64 (cbrt.f64 (.f64 1/2 b)) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (sqrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) (sqrt.f64 (.f64 1/2 (*.f64 b (/.f64 b a)))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (sqrt.f64 (.f64 1/2 b)) (.f64 (sqrt.f64 (.f64 1/2 b)) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 b -1/2) (/.f64 1 (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 (/.f64 b a) (/.f64 1/2 (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 1/2 (/.f64 b a)) b)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 b 1) (.f64 1/2 (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 (/.f64 1/2 a) (/.f64 b (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) 1) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) a) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 1 a) (/.f64 (.f64 1/2 b) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) a) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 1/2 (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (.f64 1/2 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(.f64 (cbrt.f64 (.f64 (/.f64 b a) (.f64 1/2 b))) (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(/.f64 (.f64 (cbrt.f64 (.f64 (/.f64 b a) (.f64 1/2 b))) (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 b b) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2))
(.f64 (/.f64 (sqrt.f64 (.f64 1/2 b)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 (*.f64 1/2 b)) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b))) 1/2)
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 1/2 (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b))) 1/2)
(.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 (.f64 1/2 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b))) 1/2)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 1/2 b)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (*.f64 1/2 b)) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (sqrt.f64 (/.f64 a b))) 1/2)
(.f64 (/.f64 (.f64 1/2 b) 1) (/.f64 b a))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (/.f64 (.f64 1/2 b) (neg.f64 a)) (neg.f64 b))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) 1) b)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(.f64 (.f64 (*.f64 1/2 (/.f64 b a)) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 1)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 3) 1/3)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 3)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 b (/.f64 b a)))) 2)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(pow.f64 (.f64 2 (/.f64 a (.f64 b b))) -1)
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(neg.f64 (/.f64 (*.f64 1/2 b) (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 2))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) b) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 b (/.f64 b a))) 3))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 1/2 b) 3) (pow.f64 (/.f64 a b) 3)))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))
(exp.f64 (log.f64 (.f64 1/2 (.f64 b (/.f64 b a)))))
(.f64 (/.f64 b a) (.f64 1/2 b))
(.f64 (.f64 b b) (/.f64 1/2 a))

localize36.0ms (1.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 b (/.f64 a b))

Compiler

Compiled 21 to 7 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 b (/.f64 a b))
0.0ms	b	@	inf	(/.f64 b (/.f64 a b))
0.0ms	a	@	inf	(/.f64 b (/.f64 a b))
0.0ms	b	@	-inf	(/.f64 b (/.f64 a b))
0.0ms	a	@	-inf	(/.f64 b (/.f64 a b))

rewrite45.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`pow1_binary64`
592×	`add-log-exp_binary64`
592×	`log1p-expm1-u_binary64`
592×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1605	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 b (/.f64 a b))

Outputs

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

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

451×	`log-div_binary64`
413×	`log-prod_binary64`
344×	`fma-def_binary64`
327×	`associate-/l*_binary64`
314×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	101	455
1	258	455
2	849	455
3	4172	455

Stop Event

1×	node limit

Counts

62 → 42

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(/.f64 (pow.f64 b 2) a)
(-.f64 (+.f64 1 (*.f64 b (/.f64 b a))) 1)
(*.f64 b (/.f64 b a))
(.f64 (.f64 b (/.f64 b a)) 1)
(.f64 1 (.f64 b (/.f64 b a)))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 b a)))
(.f64 (sqrt.f64 (.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 b a)))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 (/.f64 b a) b)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 b (/.f64 b a))))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 (/.f64 b a) 1) b)
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))

Outputs
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(/.f64 (pow.f64 b 2) a)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(-.f64 (+.f64 1 (*.f64 b (/.f64 b a))) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 b (/.f64 b a)) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 1 (.f64 b (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 b a))) 2) (cbrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (pow.f64 (cbrt.f64 b) 2) (.f64 (cbrt.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (sqrt.f64 (.f64 b (/.f64 b a))) (sqrt.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (neg.f64 b) (/.f64 1 (/.f64 (neg.f64 a) b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b a) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) 1) (/.f64 (cbrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) 1) (/.f64 (sqrt.f64 b) (/.f64 a b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (sqrt.f64 b) a) (/.f64 (sqrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 a) (/.f64 b (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) a) (/.f64 (cbrt.f64 b) (/.f64 1 b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (.f64 b (/.f64 b a))))
(.f64 (cbrt.f64 (.f64 b (/.f64 b a))) (/.f64 (pow.f64 (cbrt.f64 b) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(/.f64 (cbrt.f64 (/.f64 b (/.f64 a b))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (pow.f64 (cbrt.f64 b) 2)))
(*.f64 (/.f64 (sqrt.f64 b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 b) (cbrt.f64 (/.f64 a b))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 b) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 b) (sqrt.f64 (/.f64 a b))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b 1) (/.f64 b a))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(*.f64 (/.f64 b (neg.f64 a)) (neg.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) 1) b)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(.f64 (.f64 (/.f64 b a) (sqrt.f64 b)) (sqrt.f64 b))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (*.f64 b (/.f64 b a)) 1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3) 1/3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 b a))) 3)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 b a))) 2)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(pow.f64 (/.f64 a (*.f64 b b)) -1)
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(neg.f64 (/.f64 b (/.f64 (neg.f64 a) b)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 2))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log.f64 (pow.f64 (exp.f64 b) (/.f64 b a)))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 b a)) 3))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))
(exp.f64 (log.f64 (*.f64 b (/.f64 b a))))
(*.f64 b (/.f64 b a))
(/.f64 b (/.f64 a b))

eval78.0ms (2.4%)

Compiler: Compiled 2211 to 1083 computations (51% saved)

prune23.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	1	1
Picked	1	0	1
Done	1	2	3
Total	169	4	173

Error

Counts

173 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.1b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
▶	28.2b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	35.3b	(neg.f64 a)
	28.4b	a

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 b -1/2) (/.f64 a b))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/.f64 (*.f64 b -1/2) (/.f64 a b))
0.0ms	b	@	inf	(/.f64 (*.f64 b -1/2) (/.f64 a b))
0.0ms	b	@	-inf	(/.f64 (*.f64 b -1/2) (/.f64 a b))
0.0ms	a	@	inf	(/.f64 (*.f64 b -1/2) (/.f64 a b))
0.0ms	a	@	-inf	(/.f64 (*.f64 b -1/2) (/.f64 a b))

rewrite66.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
829×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	2246	10

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(/.f64 (*.f64 b -1/2) (/.f64 a b))

Outputs

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

simplify78.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1031×	`log-prod_binary64`
587×	`times-frac_binary64`
562×	`log-div_binary64`
543×	`fma-def_binary64`
414×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	866
1	379	866
2	1477	866
3	5956	866

Stop Event

1×	node limit

Counts

75 → 57

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 1)
(*.f64 b (/.f64 -1/2 (/.f64 a b)))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 (.f64 b -1/2) (/.f64 b a))
(.f64 (.f64 b (/.f64 -1/2 (/.f64 a b))) 1)
(.f64 1 (.f64 b (/.f64 -1/2 (/.f64 a b))))
(.f64 (cbrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) 2) (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (.f64 (cbrt.f64 (.f64 b -1/2)) (/.f64 b a)))
(.f64 (sqrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) (sqrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (sqrt.f64 (.f64 b -1/2)) (.f64 (sqrt.f64 (.f64 b -1/2)) (/.f64 b a)))
(.f64 (.f64 b 1/2) (/.f64 1 (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 b -1/2))
(*.f64 (/.f64 b a) (/.f64 -1/2 (/.f64 1 b)))
(*.f64 (/.f64 -1/2 (/.f64 a b)) b)
(*.f64 (/.f64 b 1) (/.f64 -1/2 (/.f64 a b)))
(*.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 1 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (/.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (/.f64 a b)))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) a) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (/.f64 1 b)))
(.f64 (/.f64 1 a) (/.f64 (.f64 b -1/2) (/.f64 1 b)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (/.f64 1 b)))
(*.f64 (/.f64 b (/.f64 a b)) -1/2)
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 -1/2 (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (.f64 b -1/2) (cbrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 -1/2 (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 -1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 (.f64 b -1/2) (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (.f64 b -1/2) 1) (/.f64 b a))
(.f64 (/.f64 (.f64 b -1/2) (neg.f64 a)) (neg.f64 b))
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) 1) b)
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) (sqrt.f64 b)) (sqrt.f64 b))
(pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 1)
(pow.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 3)
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 2)
(pow.f64 (*.f64 -2 (/.f64 (/.f64 a b) b)) -1)
(neg.f64 (/.f64 (*.f64 b -1/2) (/.f64 (neg.f64 a) b)))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) -1/2) (/.f64 b a)))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b -1/2) 3) (pow.f64 (/.f64 a b) 3)))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(exp.f64 (log.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))

Outputs
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 (pow.f64 b 2) a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(-.f64 (+.f64 1 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 1)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 b (/.f64 -1/2 (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 -1/2 (.f64 b (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 -1/2 (/.f64 b (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 b -1/2) (/.f64 b a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 b (/.f64 -1/2 (/.f64 a b))) 1)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 1 (.f64 b (/.f64 -1/2 (/.f64 a b))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (cbrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) (pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 2))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (pow.f64 (cbrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) 2) (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (.f64 (cbrt.f64 (.f64 b -1/2)) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (sqrt.f64 (.f64 b (/.f64 -1/2 (/.f64 a b)))) (sqrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (sqrt.f64 (.f64 b -1/2)) (.f64 (sqrt.f64 (.f64 b -1/2)) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 b 1/2) (/.f64 1 (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 b a) (.f64 b -1/2))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 b a) (/.f64 -1/2 (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 -1/2 (/.f64 a b)) b)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 b 1) (/.f64 -1/2 (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 -1/2 a) (/.f64 b (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) 1) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) 1) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (/.f64 a b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) a) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 1 a) (/.f64 (.f64 b -1/2) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) a) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (/.f64 1 b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 b (/.f64 a b)) -1/2)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 -1/2 (cbrt.f64 (/.f64 a b))))
(/.f64 -1/2 (*.f64 (/.f64 (cbrt.f64 (/.f64 a b)) b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (/.f64 -1/2 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 b (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 -1/2 (cbrt.f64 (/.f64 a b))))
(/.f64 -1/2 (*.f64 (/.f64 (cbrt.f64 (/.f64 a b)) b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (.f64 b -1/2) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 -1/2 (cbrt.f64 (/.f64 a b))))
(/.f64 -1/2 (*.f64 (/.f64 (cbrt.f64 (/.f64 a b)) b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (cbrt.f64 (.f64 (/.f64 b a) (.f64 -1/2 b))) (/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 b)) 2) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 b)) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (cbrt.f64 (.f64 -1/2 (/.f64 (*.f64 b b) a)))))
(.f64 (/.f64 (sqrt.f64 (.f64 b -1/2)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 (sqrt.f64 (*.f64 b -1/2)) (cbrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (pow.f64 (cbrt.f64 (/.f64 a b)) 2)) (/.f64 -1/2 (cbrt.f64 (/.f64 a b))))
(/.f64 -1/2 (*.f64 (/.f64 (cbrt.f64 (/.f64 a b)) b) (pow.f64 (cbrt.f64 (/.f64 a b)) 2)))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 -1/2 (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 -1/2 (sqrt.f64 (/.f64 a b))) (/.f64 b (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 -1/2 (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 a b))) (/.f64 (.f64 b -1/2) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 -1/2 (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 b -1/2)) 2) (sqrt.f64 (/.f64 a b))) (/.f64 (cbrt.f64 (*.f64 b -1/2)) (sqrt.f64 (/.f64 a b))))
(*.f64 (/.f64 b (sqrt.f64 (/.f64 a b))) (/.f64 -1/2 (sqrt.f64 (/.f64 a b))))
(.f64 (/.f64 (.f64 b -1/2) 1) (/.f64 b a))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (/.f64 (.f64 b -1/2) (neg.f64 a)) (neg.f64 b))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) 1) b)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(.f64 (.f64 (/.f64 -1/2 (/.f64 a b)) (sqrt.f64 b)) (sqrt.f64 b))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 1)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(pow.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 3) 1/3)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(pow.f64 (cbrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 3)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(pow.f64 (sqrt.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))) 2)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(pow.f64 (*.f64 -2 (/.f64 (/.f64 a b) b)) -1)
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(neg.f64 (/.f64 (*.f64 b -1/2) (/.f64 (neg.f64 a) b)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(sqrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 2))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(log.f64 (pow.f64 (pow.f64 (exp.f64 b) -1/2) (/.f64 b a)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(cbrt.f64 (pow.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b))) 3))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 b -1/2) 3) (pow.f64 (/.f64 a b) 3)))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(expm1.f64 (log1p.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(log1p.f64 (expm1.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))
(exp.f64 (log.f64 (*.f64 b (/.f64 -1/2 (/.f64 a b)))))
(.f64 (/.f64 b a) (.f64 -1/2 b))
(.f64 -1/2 (/.f64 (.f64 b b) a))

eval33.0ms (1%)

Compiler: Compiled 798 to 437 computations (45.2% saved)

prune26.0ms (0.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	57	4	61

Error

Counts

61 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.1b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
✓	28.2b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	35.3b	(neg.f64 a)
	28.4b	a

Compiler

Compiled 29 to 19 computations (34.5% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Error

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	35.1b	(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
✓	28.2b	(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
✓	35.3b	(neg.f64 a)
	28.4b	a

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes155.0ms (4.7%)

Counts

7 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))
(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
(fma.f64 -1/2 (/.f64 b (/.f64 a b)) a)

Outputs
(-.f64 (/.f64 (*.f64 1/2 b) (/.f64 a b)) a)
(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))

Calls

6 calls:

72.0ms	b
29.0ms	(*.f64 b b)
15.0ms	(-.f64 (.f64 a a) (.f64 b b))
14.0ms	(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))
12.0ms	(*.f64 a a)

Results

Error	Segments	Branch
0b	2	`a`
19.6b	8	`b`
14.0b	3	`(sqrt.f64 (-.f64 (.f64 a a) (.f64 b b)))`
14.0b	3	`(-.f64 (.f64 a a) (.f64 b b))`
14.0b	3	`(*.f64 a a)`
22.5b	5	`(*.f64 b b)`

Compiler

Compiled 83 to 44 computations (47% saved)

bsearch9.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
8.0ms	-3.789088746216938e-239	1.1392008126072565e-240

Results

8.0ms

101×

body

256

invalid

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes88.0ms (2.7%)

Counts

4 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))
(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))

Outputs
(neg.f64 a)
(+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b)))

Calls

3 calls:

66.0ms	b
14.0ms	(*.f64 b b)
7.0ms	a

Results

Error	Segments	Branch
0.2b	2	`a`
20.1b	10	`b`
24.6b	4	`(*.f64 b b)`

Compiler

Compiled 34 to 20 computations (41.2% saved)

bsearch10.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
10.0ms	-3.789088746216938e-239	1.1392008126072565e-240

Results

9.0ms

101×

body

256

invalid

Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes51.0ms (1.5%)

Accuracy

Total -62.8b remaining (-13647.9%)

Threshold costs -62.8b (-13647.9%)

Counts

3 → 2

Calls

Call 1

Inputs
a
(neg.f64 a)
(+.f64 a (.f64 -1/2 (/.f64 (.f64 b b) a)))

Outputs
(neg.f64 a)
a

Calls

3 calls:

33.0ms	b
10.0ms	(*.f64 b b)
7.0ms	a

Results

Error	Segments	Branch
0.5b	2	`a`
20.2b	10	`b`
24.7b	4	`(*.f64 b b)`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch9.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
9.0ms	-3.789088746216938e-239	1.1392008126072565e-240

Results

9.0ms

101×

body

256

invalid

Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	65
1	27	65
2	30	65
3	31	65

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (/.f64 (.f64 1/2 b) (/.f64 a b)) a) (+.f64 a (/.f64 (.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (neg.f64 a) (+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (neg.f64 a) a)
a

Outputs
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (-.f64 (/.f64 (.f64 1/2 b) (/.f64 a b)) a) (+.f64 a (/.f64 (.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (neg.f64 a) (+.f64 a (/.f64 (*.f64 b -1/2) (/.f64 a b))))
(if (<=.f64 a -277799292266193/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776) (neg.f64 a) a)
a

Compiler

Compiled 53 to 33 computations (37.7% saved)

soundness138.0ms (4.2%)

Algorithm

2×	egg-herbie

Rules

562×	`associate-/l*_binary64`
562×	`associate-/l*_binary64`
429×	`distribute-rgt-in_binary64`
429×	`distribute-rgt-in_binary64`
394×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	2258
1	639	2115
2	2628	2007
0	241	2258
1	639	2115
2	2628	2007

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 102 to 70 computations (31.4% saved)

end30.0ms (0.9%)

Compiler: Compiled 47 to 25 computations (46.8% saved)

Details

analyze63.0ms (1.9%)

sample1.2s (37.6%)

preprocess401.0ms (12.2%)

simplify104.0ms (3.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite50.0ms (1.5%)

simplify56.0ms (1.7%)

eval101.0ms (3%)

prune23.0ms (0.7%)

localize2.0ms (0.1%)

localize10.0ms (0.3%)

series6.0ms (0.2%)

rewrite48.0ms (1.4%)

simplify83.0ms (2.5%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite80.0ms (2.4%)

simplify59.0ms (1.8%)

localize36.0ms (1.1%)

series1.0ms (0%)

rewrite45.0ms (1.4%)

simplify53.0ms (1.6%)

eval78.0ms (2.4%)

prune23.0ms (0.7%)

localize10.0ms (0.3%)

series2.0ms (0%)

rewrite66.0ms (2%)

simplify78.0ms (2.3%)

eval33.0ms (1%)

prune26.0ms (0.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes155.0ms (4.7%)

bsearch9.0ms (0.3%)

regimes88.0ms (2.7%)

bsearch10.0ms (0.3%)

regimes51.0ms (1.5%)

bsearch9.0ms (0.3%)

simplify5.0ms (0.1%)

soundness138.0ms (4.2%)

end30.0ms (0.9%)

Profiling