Details

analyze34.0ms (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12
2.8%	0.5%	96.7%	13
2.9%	0.3%	96.7%	14

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.6s (38.4%)

Results

1.5s	8256×	body	128	valid
84.0ms	411×	body	128	invalid

Compiler

Compiled 52 to 30 computations (42.3% saved)

preprocess30.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

303×	`associate-/l*_binary64`
282×	`associate-/r/_binary64`
258×	`times-frac_binary64`
232×	`fma-def_binary64`
190×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	47	34
2	137	30
3	394	30
4	1282	30
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b (*.f64 a a)) b -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 a a) (.f64 b b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 a (/.f64 a (*.f64 b b)) -1)))

Compiler

Compiled 15 to 8 computations (46.7% saved)

simplify24.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
600×	`associate-/r*_binary64`
362×	`distribute-rgt-in_binary64`
331×	`distribute-lft-in_binary64`
206×	`div-sub_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	72	15
3	201	15
4	549	15
5	1979	15

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

13.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	13.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b (/.f64 b (*.f64 a a)) -1)
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓	13.0b	(/.f64 b (*.f64 a a))

series103.0ms (2.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	b	@	-inf	(fma.f64 b (/.f64 b (*.f64 a a)) -1)
11.0ms	b	@	0	(fma.f64 b (/.f64 b (*.f64 a a)) -1)
9.0ms	b	@	-inf	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
8.0ms	b	@	0	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
6.0ms	b	@	inf	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

rewrite194.0ms (4.8%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	183	31
2	2344	31

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

Inputs
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(fma.f64 b (/.f64 b (*.f64 a a)) -1)

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

Outputs

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

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

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

simplify191.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

616×	`times-frac_binary64`
499×	`distribute-rgt-neg-in_binary64`
394×	`distribute-neg-frac_binary64`
274×	`cancel-sign-sub-inv_binary64`
271×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	795
1	27	759
2	43	759
3	100	759
4	408	759
5	3302	759

Stop Event

1×	node limit

Counts

161 → 98

Calls

Call 1

Inputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(/.f64 b (pow.f64 a 2))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)

Outputs
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(/.f64 b (pow.f64 a 2))
(/.f64 b (*.f64 a a))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (pow.f64 a 2)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 b (/.f64 b (.f64 a a)))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(fma.f64 b (/.f64 b (*.f64 a a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)

prune95.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

0.0b

Counts

99 → 3

Alt Table

Status	Error	Program
	14.5b	(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (fma.f64 b (*.f64 b (pow.f64 a -2)) -1)) 3)))
✓	13.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
▶	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 1516 to 1073 computations (29.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

series16.0ms (0.4%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	b	@	inf	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
3.0ms	a	@	-inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
2.0ms	a	@	inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
1.0ms	b	@	inf	(fma.f64 (/.f64 b a) (/.f64 b a) -1)
1.0ms	b	@	0	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
80×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	160	22
2	1986	22

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)

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

Outputs

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

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

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

570×	`unswap-sqr_binary64`
555×	`times-frac_binary64`
479×	`fma-def_binary64`
257×	`associate-/l*_binary64`
230×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	267
1	21	267
2	35	231
3	82	231
4	323	231
5	2566	231
6	4031	231

Stop Event

1×	node limit

Counts

77 → 58

Calls

Call 1

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

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

prune154.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Error

0.0b

Counts

61 → 3

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)))
✓	13.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))

Compiler

Compiled 872 to 618 computations (29.1% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)))
✓	0.0b	(cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
✓	0.0b	(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
✓	0.3b	(pow.f64 (/.f64 b a) 2)

series130.0ms (3.2%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
57.0ms	b	@	0	(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
47.0ms	a	@	inf	(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
5.0ms	a	@	-inf	(pow.f64 (/.f64 b a) 2)
2.0ms	b	@	inf	(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
2.0ms	b	@	0	(pow.f64 (/.f64 b a) 2)

rewrite78.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`log-prod_binary64`
189×	`expm1-udef_binary64`
189×	`log1p-udef_binary64`
159×	`log-pow_binary64`
149×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	282	41
2	3165	41

Stop Event

1×	node limit

Counts

4 → 158

Calls

Call 1

Inputs
(pow.f64 (/.f64 b a) 2)
(pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)
(cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (/.f64 b a) 2))) 3)))

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

simplify95.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-def_binary64`
487×	`associate-/l/_binary64`
305×	`cancel-sign-sub-inv_binary64`
289×	`times-frac_binary64`
276×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	43	1314
1	118	1146
2	364	1068
3	2095	1068

Stop Event

1×	node limit

Counts

230 → 171

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(.f64 (/.f64 b (.f64 a a)) b)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1)
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (/.f64 (*.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (cbrt.f64 -1)))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (/.f64 (.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (/.f64 (*.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (cbrt.f64 -1)))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (/.f64 (.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(cbrt.f64 -1)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))
(fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (*.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))
(fma.f64 (*.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(-.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (.f64 1/9 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)) (/.f64 (*.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1)))
(fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (cbrt.f64 -1)))
(-.f64 (+.f64 (.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 b 2) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(-.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (/.f64 (.f64 b b) (.f64 (.f64 a a) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (.f64 1/9 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (fma.f64 5/81 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 a 6) (pow.f64 (cbrt.f64 -1) 8))) (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 -1))) (/.f64 (.f64 -1/9 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (pow.f64 (cbrt.f64 -1) 5)))
(fma.f64 (/.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) (pow.f64 (cbrt.f64 -1) 5)) -1/9 (fma.f64 1/3 (.f64 (/.f64 b (.f64 a a)) (/.f64 b (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(fma.f64 (/.f64 (pow.f64 b 4) (.f64 (pow.f64 a 4) (pow.f64 (cbrt.f64 -1) 5))) -1/9 (fma.f64 (.f64 (/.f64 b a) (/.f64 b a)) (/.f64 1/3 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (/.f64 5/81 (pow.f64 a 6)) (/.f64 (pow.f64 b 6) (pow.f64 (cbrt.f64 -1) 8)) (cbrt.f64 -1))))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))
(sqrt.f64 (fabs.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1) 1/3) 3)))
(sqrt.f64 (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)) 3)))
(sqrt.f64 (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) -1))
(sqrt.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))

prune271.0ms (6.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	173	1	174

Error

Counts

174 → 1

Alt Table

Status	Error	Program
▶	0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

Compiler

Compiled 3028 to 2130 computations (29.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))
✓	0.0b	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))
	0.3b	(pow.f64 (/.f64 b a) 2)
✓	0.4b	(pow.f64 (/.f64 b a) 4)

series19.0ms (0.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	a	@	0	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))
2.0ms	a	@	-inf	(pow.f64 (/.f64 b a) 4)
2.0ms	b	@	inf	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))
1.0ms	b	@	0	(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))
1.0ms	a	@	0	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

rewrite173.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`prod-diff_binary64`
159×	`add-sqr-sqrt_binary64`
155×	`pow1_binary64`
153×	`*-un-lft-identity_binary64`
150×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	334	29
2	4265	29

Stop Event

1×	node limit

Counts

3 → 168

Calls

Call 1

Inputs
(pow.f64 (/.f64 b a) 4)
(/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

Outputs

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

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

simplify97.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

612×	`times-frac_binary64`
576×	`cancel-sign-sub-inv_binary64`
349×	`unswap-sqr_binary64`
334×	`fma-def_binary64`
247×	`associate-/l*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	1323
1	47	1275
2	105	1191
3	347	1191
4	3169	1047

Stop Event

1×	node limit

Counts

240 → 177

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))

Outputs
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
(/.f64 (pow.f64 b 4) (pow.f64 a 4))
(pow.f64 (/.f64 b a) 4)
-1
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (.f64 b b) (.f64 a a))
(*.f64 (/.f64 b a) (/.f64 b a))
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
(+.f64 (/.f64 (.f64 b b) (.f64 a a)) -1)
(+.f64 -1 (*.f64 (/.f64 b a) (/.f64 b a)))
(fma.f64 (/.f64 b a) (/.f64 b a) -1)
(-.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)
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(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (*.f64 -1 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (pow.f64 b 2) (pow.f64 a 2)) 1)))))
(sqrt.f64 (fabs.f64 (neg.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (/.f64 (.f64 b b) (.f64 a a)) 1)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (+.f64 (*.f64 (/.f64 b a) (/.f64 b a)) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (/.f64 (pow.f64 b 4) (pow.f64 a 4))) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (/.f64 (pow.f64 b 4) (pow.f64 a 4)) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))
(sqrt.f64 (fabs.f64 (/.f64 (+.f64 (pow.f64 (/.f64 b a) 4) -1) (fma.f64 (/.f64 b a) (/.f64 b a) 1))))

prune367.0ms (9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	1	219

Error

Counts

219 → 1

Alt Table

Status	Error	Program
✓	0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

Compiler

Compiled 9920 to 6415 computations (35.3% saved)

regimes222.0ms (5.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

62 → 1

Compiler

Compiled 922 to 633 computations (31.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	24	26
2	34	26
3	42	26
4	46	26

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 b a) 4)) (-.f64 -1 (pow.f64 (/.f64 b a) 2)))))

end63.0ms (1.5%)

Stop Event

1×

done

Compiler

Compiled 57 to 42 computations (26.3% saved)

Details

analyze34.0ms (0.8%)

sample1.6s (38.4%)

preprocess30.0ms (0.7%)

simplify24.0ms (0.6%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

series103.0ms (2.5%)

rewrite194.0ms (4.8%)

simplify191.0ms (4.7%)

prune95.0ms (2.3%)

localize8.0ms (0.2%)

series16.0ms (0.4%)

rewrite55.0ms (1.4%)

simplify36.0ms (0.9%)

prune154.0ms (3.8%)

localize24.0ms (0.6%)

series130.0ms (3.2%)

rewrite78.0ms (1.9%)

simplify95.0ms (2.3%)

prune271.0ms (6.7%)

localize12.0ms (0.3%)

series19.0ms (0.5%)

rewrite173.0ms (4.3%)

simplify97.0ms (2.4%)

prune367.0ms (9%)

regimes222.0ms (5.5%)

simplify4.0ms (0.1%)

end63.0ms (1.5%)

Profiling