Details

analyze317.0ms (8.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	62.4%	12.6%	7
25%	53.1%	22%	8
25%	44.5%	30.5%	9
28.1%	27.7%	44.2%	10
31.6%	20.1%	48.3%	11
33.4%	10.5%	56.1%	12
35.2%	7.7%	57.1%	13
36.1%	5.2%	58.6%	14

Compiler

Compiled 34 to 22 computations (35.3% saved)

sample1.3s (37.2%)

Results

1.2s	8256×	body	128	valid
98.0ms	428×	body	128	invalid

preprocess26.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

426×	`fma-def_binary64`
298×	`fma-neg_binary64`
191×	`rule-a-bc-nega-cb_binary64`
169×	`rule-a-*a1_binary64`
169×	`rule-a--a0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	84
1	224	80
2	872	80
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 b b) (*.f64 a a)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 b b) (+.f64 1 b)) (*.f64 (*.f64 a a) (-.f64 1 (*.f64 3 b)))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (-.f64 1 (.f64 a 3)) (.f64 (.f64 a a) (+.f64 a 1))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(fma.f64 4 (fma.f64 a (.f64 a (+.f64 a 1)) (.f64 b (.f64 b (-.f64 1 (.f64 a 3))))) (+.f64 (pow.f64 (fma.f64 a a (*.f64 b b)) 2) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 1 b)) (.f64 (.f64 a a) (-.f64 1 (.f64 3 b)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (+.f64 b 1) (.f64 (.f64 a a) (-.f64 1 (.f64 b 3))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 (neg.f64 (.f64 a a)) (fma.f64 b 3 -1) (.f64 (.f64 b b) (+.f64 b 1))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 (fma.f64 b 3 -1) (neg.f64 a)) (.f64 b (.f64 b (+.f64 b 1)))) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

581×	`rule-a-*a1_binary64`
581×	`rule-a--a0_binary64`
581×	`rule-a-+a0_binary64`
579×	`rule-a-/a1_binary64`
237×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	140	40
2	532	38
3	2990	38

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 (.f64 b b) (-.f64 1 (.f64 a 3))))) 1))
(+.f64 (fma.f64 4 (fma.f64 (.f64 a a) (+.f64 a 1) (.f64 (neg.f64 (.f64 b b)) (fma.f64 a 3 -1))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a a (fma.f64 (.f64 b (neg.f64 b)) (fma.f64 a 3 -1) (pow.f64 a 3))) -1))

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Compiler

Compiled 126 to 79 computations (37.3% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
✓	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series13.0ms (0.4%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
1.0ms	b	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0ms	b	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0ms	a	@	0	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.0ms	b	@	inf	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite39.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

192×	`add-sqr-sqrt_binary64`
185×	`pow1_binary64`
185×	`rules-30_binary64`
185×	`rules-31_binary64`
185×	`rules-32_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	437	57

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
(.f64 (.f64 a a) (+.f64 1 a))
(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))

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

simplify56.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

631×	`rule-a--a0_binary64`
631×	`rule-a-+a0_binary64`
631×	`rule-a-/a1_binary64`
465×	`fma-def_binary64`
175×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	1284
1	232	1189
2	772	1137
3	3720	1137

Stop Event

1×	node limit

Counts

192 → 137

Calls

Call 1

Inputs
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 -3 (.f64 a (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 -3 (.f64 a (pow.f64 b 2)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(pow.f64 a 2)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(*.f64 (pow.f64 a 2) (+.f64 1 a))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))

Outputs
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 -3 (.f64 a (pow.f64 b 2)))
(.f64 a (.f64 -3 (*.f64 b b)))
(.f64 a (.f64 (*.f64 b b) -3))
(.f64 a (.f64 b (*.f64 b -3)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(.f64 -3 (.f64 a (pow.f64 b 2)))
(.f64 a (.f64 -3 (*.f64 b b)))
(.f64 a (.f64 (*.f64 b b) -3))
(.f64 a (.f64 b (*.f64 b -3)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 b 4))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 a (.f64 a (*.f64 b b))) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (fma.f64 a a (.f64 b (+.f64 b b))) (pow.f64 b 4))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 a (pow.f64 b 2))))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a)))
(fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3))))
(fma.f64 a a (.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1)))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 a a) (+.f64 (pow.f64 a 3) (.f64 a (.f64 -3 (.f64 b b)))))
(+.f64 (pow.f64 a 3) (.f64 a (+.f64 a (.f64 (*.f64 b b) -3))))
(.f64 a (+.f64 (.f64 b (*.f64 b -3)) (fma.f64 a a a)))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(pow.f64 a 3)
(+.f64 (pow.f64 a 3) (pow.f64 a 2))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 a a) (+.f64 (pow.f64 a 3) (.f64 a (.f64 -3 (.f64 b b)))))
(+.f64 (pow.f64 a 3) (.f64 a (+.f64 a (.f64 (*.f64 b b) -3))))
(.f64 a (+.f64 (.f64 b (*.f64 b -3)) (fma.f64 a a a)))
(+.f64 (pow.f64 a 3) (+.f64 (pow.f64 b 2) (+.f64 (pow.f64 a 2) (.f64 -3 (.f64 a (pow.f64 b 2))))))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(*.f64 (pow.f64 a 2) (+.f64 1 a))
(+.f64 (*.f64 a a) (pow.f64 a 3))
(fma.f64 a a (pow.f64 a 3))
(*.f64 a (fma.f64 a a a))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(.f64 (-.f64 1 (.f64 3 a)) (pow.f64 b 2))
(.f64 (-.f64 1 (.f64 3 a)) (*.f64 b b))
(.f64 (neg.f64 (.f64 b b)) (fma.f64 3 a -1))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 1 a)) (.f64 (-.f64 1 (*.f64 3 a)) (pow.f64 b 2)))
(+.f64 (pow.f64 a 3) (+.f64 (.f64 b b) (+.f64 (.f64 a (.f64 -3 (.f64 b b))) (*.f64 a a))))
(+.f64 (pow.f64 a 3) (fma.f64 b b (.f64 a (+.f64 a (.f64 (*.f64 b b) -3)))))
(fma.f64 a a (fma.f64 (-.f64 1 (.f64 3 a)) (.f64 b b) (pow.f64 a 3)))

prune286.0ms (8.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

0.0b

Counts

138 → 3

Alt Table

Status	Error	Program
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 a a (.f64 b b))) (cbrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 (fma.f64 a a (.f64 b b)) (cbrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)
	0.2b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
▶	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Status

Error

Program

0.5b

(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a a (*.f64 b b))) (cbrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (cbrt.f64 (fma.f64 a a (*.f64 b b))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

0.2b

(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

▶

0.0b

(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 5368 to 2887 computations (46.2% saved)

localize22.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a))))
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
✓	1.9b	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

series4.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(*.f64 (pow.f64 a 2) (pow.f64 b 2))
1.0ms	a	@	0	(*.f64 (pow.f64 a 2) (pow.f64 b 2))
1.0ms	b	@	inf	(*.f64 (pow.f64 a 2) (pow.f64 b 2))
1.0ms	a	@	inf	(*.f64 (pow.f64 a 2) (pow.f64 b 2))
0.0ms	b	@	0	(*.f64 (pow.f64 a 2) (pow.f64 b 2))

rewrite35.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`rules-30_binary64`
720×	`rules-31_binary64`
720×	`rules-32_binary64`
720×	`rules-33_binary64`
659×	`rules-27_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	183	7
2	2274	7

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))

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

Outputs

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

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

37 → 37

Calls

Call 1

Inputs

Outputs

prune254.0ms (7.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	133	3	136

Error

0.0b

Counts

136 → 3

Alt Table

Status	Error	Program
	0.5b	(-.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 a a (.f64 b b))) (cbrt.f64 (fma.f64 a a (.f64 b b)))) (.f64 (fma.f64 a a (.f64 b b)) (cbrt.f64 (fma.f64 a a (.f64 b b))))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)
▶	0.2b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 b b) (fma.f64 a a (.f64 b b))) (.f64 (fma.f64 a a (.f64 b b)) (.f64 a a))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)
✓	0.0b	(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))) 1)

Status

Error

Program

0.5b

(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 a a (*.f64 b b))) (cbrt.f64 (fma.f64 a a (*.f64 b b)))) (*.f64 (fma.f64 a a (*.f64 b b)) (cbrt.f64 (fma.f64 a a (*.f64 b b))))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

▶

0.2b

(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

✓

0.0b

(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 6064 to 4104 computations (32.3% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 1 a))
✓	0.7b	(.f64 (fma.f64 a a (.f64 b b)) (*.f64 a a))
	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
✓	1.6b	(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite42.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`rules-31_binary64`
888×	`rules-32_binary64`
888×	`rules-33_binary64`
89×	`add-sqr-sqrt_binary64`
87×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	202	20
2	2715	20

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(.f64 (fma.f64 a a (.f64 b b)) (*.f64 a a))

Outputs

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

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

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

259×	`rule-b-ac--ab*bc_binary64`
213×	`rule-a-bc-nega-cb_binary64`
188×	`rule-a-*a1_binary64`
188×	`rule-a--a0_binary64`
188×	`rule-a-+a0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	588
1	77	588
2	250	588
3	1104	588

Stop Event

1×	node limit

Counts

123 → 83

Calls

Call 1

Inputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))

Outputs
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(pow.f64 b 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 b 4))
(fma.f64 a (.f64 a (.f64 b b)) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(pow.f64 a 4)
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(*.f64 (pow.f64 a 2) (pow.f64 b 2))
(.f64 (.f64 a a) (*.f64 b b))
(.f64 a (.f64 a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))
(+.f64 (*.f64 (pow.f64 a 2) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(.f64 (.f64 a a) (fma.f64 a a (*.f64 b b)))

prune357.0ms (10%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	147	3	150

Error

0.0b

Counts

150 → 3

Alt Table

Status

Error

Program

▶

0.4b

(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

✓

0.0b

(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

12.6b

(-.f64 (+.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 3))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 6937 to 2933 computations (57.7% saved)

localize26.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)
	0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
	1.6b	(.f64 (.f64 b b) (fma.f64 a a (*.f64 b b)))
✓	27.1b	(cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2))

series21.0ms (0.6%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)
2.0ms	a	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)
2.0ms	b	@	inf	(cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2))
2.0ms	b	@	0	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)
2.0ms	b	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`rules-31_binary64`
930×	`rules-32_binary64`
930×	`rules-33_binary64`
101×	`add-sqr-sqrt_binary64`
97×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	266	22
2	3001	22

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)

Outputs

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

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

simplify26.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

343×	`rule-ab-ba_binary64`
313×	`rule-a-*a1_binary64`
313×	`rule-a--a0_binary64`
313×	`rule-a-+a0_binary64`
312×	`rule-a-/a1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	394
1	522	304
2	1857	295

Stop Event

1×	node limit

Counts

97 → 104

Calls

Call 1

Inputs
(pow.f64 (pow.f64 a 4) 1/3)
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3) (pow.f64 b 4))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2)))))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3) (pow.f64 b 6))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (*.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 (+.f64 1/9 (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (pow.f64 b 4))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5/81 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3)) (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3)))))) (.f64 2/27 (/.f64 1 (pow.f64 a 2)))) (pow.f64 b 6)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 (+.f64 1/9 (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (pow.f64 b 4)))))

Outputs
(pow.f64 (pow.f64 a 4) 1/3)
(cbrt.f64 (pow.f64 a 4))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (.f64 b b))))
(fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (*.f64 b b)) (cbrt.f64 (pow.f64 a 4)))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3) (pow.f64 b 4))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2)))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (pow.f64 b 4)) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (*.f64 b b)))))
(fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (pow.f64 b 4)) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (.f64 b b)) (cbrt.f64 (pow.f64 a 4))))
(+.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 8)) 1/3) (pow.f64 b 4))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 14)) 1/3) (pow.f64 b 6))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (pow.f64 b 2))))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (pow.f64 b 4)) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 14))) (pow.f64 b 6)) (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (.f64 b b))))))
(+.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 8))) (pow.f64 b 4)) (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 1/3 (.f64 b b)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 14))) (.f64 5/81 (pow.f64 b 6))))))
(pow.f64 a 4)
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (*.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (pow.f64 a 4))
(fma.f64 (fma.f64 1/3 (.f64 a a) (.f64 (.f64 a a) 2/3)) (.f64 b b) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b b) (pow.f64 a 4))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 (+.f64 1/9 (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (pow.f64 b 4))))
(fma.f64 (fma.f64 1/3 (.f64 a a) (.f64 (.f64 a a) 2/3)) (.f64 b b) (+.f64 (pow.f64 a 4) (.f64 (pow.f64 b 4) (+.f64 1/9 (.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (*.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4))))))))))
(fma.f64 (.f64 a a) (.f64 b b) (fma.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) -1/9) 1/9) (pow.f64 a 4)))
(fma.f64 (.f64 a a) (.f64 b b) (fma.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) 1/9) (pow.f64 a 4)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 5/81 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/27 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3)) (.f64 10/81 (pow.f64 (/.f64 1 (pow.f64 a 10)) 1/3)))))) (.f64 2/27 (/.f64 1 (pow.f64 a 2)))) (pow.f64 b 6)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 a 2)) (.f64 2/3 (pow.f64 a 2))) (pow.f64 b 2)) (+.f64 (pow.f64 a 4) (.f64 (+.f64 1/9 (.f64 (pow.f64 (pow.f64 a 4) 1/3) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3)) (*.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 a 4)) 1/3))))) (pow.f64 b 4)))))
(fma.f64 (+.f64 (/.f64 5/81 (.f64 a a)) (-.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (fma.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))))) (.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -2/27 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) 10/81)))) (/.f64 2/27 (.f64 a a)))) (pow.f64 b 6) (fma.f64 (fma.f64 1/3 (.f64 a a) (.f64 (.f64 a a) 2/3)) (.f64 b b) (+.f64 (pow.f64 a 4) (.f64 (pow.f64 b 4) (+.f64 1/9 (.f64 (cbrt.f64 (pow.f64 a 4)) (fma.f64 -2/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))))))))))
(fma.f64 (.f64 a a) (.f64 b b) (fma.f64 (pow.f64 b 6) (+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) -1/9)) (.f64 (cbrt.f64 (pow.f64 a 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) 4/81))) (-.f64 (/.f64 5/81 (.f64 a a)) (/.f64 2/27 (.f64 a a)))) (fma.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (pow.f64 a 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 4))) -1/9) 1/9) (pow.f64 a 4))))
(fma.f64 (pow.f64 b 6) (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 a a))) (.f64 (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) -1/3) (.f64 (cbrt.f64 (pow.f64 a 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 a 10))) 4/81))) (/.f64 -1/81 (.f64 a a))) (fma.f64 (.f64 a a) (.f64 b b) (fma.f64 (pow.f64 b 4) (fma.f64 (cbrt.f64 (pow.f64 a 4)) (*.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 a 4)))) 1/9) (pow.f64 a 4))))

prune362.0ms (10.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	180	3	183

Error

0.0b

Counts

183 → 3

Alt Table

Status

Error

Program

✓

0.4b

(-.f64 (+.f64 (+.f64 (*.f64 (*.f64 b b) (fma.f64 a a (*.f64 b b))) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 a (hypot.f64 a b)) 2)) 3)) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

✓

0.0b

(-.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

12.6b

(-.f64 (+.f64 (+.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 3))) (*.f64 (fma.f64 a a (*.f64 b b)) (*.f64 a a))) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (+.f64 1 a)) (*.f64 (*.f64 b b) (-.f64 1 (*.f64 3 a)))))) 1)

Compiler

Compiled 8852 to 4505 computations (49.1% saved)

regimes83.0ms (2.3%)

Accuracy

Total -12.5b remaining (-21111.8%)

Threshold costs -12.5b (-21111.8%)

Counts

28 → 1

Compiler

Compiled 1118 to 579 computations (48.2% saved)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	49
1	24	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)

Outputs
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 b b)))) 1)

end106.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 199 to 127 computations (36.2% saved)

Details

analyze317.0ms (8.9%)

sample1.3s (37.2%)

preprocess26.0ms (0.7%)

simplify29.0ms (0.8%)

prune4.0ms (0.1%)

localize16.0ms (0.5%)

series13.0ms (0.4%)

rewrite39.0ms (1.1%)

simplify56.0ms (1.6%)

prune286.0ms (8.1%)

localize22.0ms (0.6%)

series4.0ms (0.1%)

rewrite35.0ms (1%)

simplify7.0ms (0.2%)

prune254.0ms (7.2%)

localize17.0ms (0.5%)

series7.0ms (0.2%)

rewrite42.0ms (1.2%)

simplify29.0ms (0.8%)

prune357.0ms (10%)

localize26.0ms (0.7%)

series21.0ms (0.6%)

rewrite46.0ms (1.3%)

simplify26.0ms (0.7%)

prune362.0ms (10.2%)

regimes83.0ms (2.3%)

simplify1.0ms (0%)

end106.0ms (3%)

Profiling