Details

analyze158.0ms (1.9%)

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%	59.3%	15.7%	7
25%	51.5%	23.5%	8
25%	42.9%	32.1%	9
28.1%	26.9%	45%	10
31.6%	19.7%	48.7%	11
33.4%	10.4%	56.2%	12

Compiler

Compiled 32 to 20 computations (37.5% saved)

sample2.0s (23.8%)

Results

1.6s	8256×	body	256	valid
398.0ms	1031×	body	256	invalid

preprocess51.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

511×	`unsub-neg_binary64`
500×	`sub-neg_binary64`
421×	`fma-neg_binary64`
351×	`associate--l+_binary64`
339×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	78
1	101	74
2	350	74
3	1237	74
4	3107	66
5	5489	66
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 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 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 3 a))))) 1)
(+.f64 (+.f64 (.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 a 3))))) (pow.f64 (fma.f64 a a (*.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (.f64 a (-.f64 1 a)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (.f64 b (+.f64 a 3)))) (pow.f64 (fma.f64 a a (.f64 b b)) 2)) -1)
(+.f64 (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 (*.f64 b b) (+.f64 a 3))) (pow.f64 (hypot.f64 a b) 4)) -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 3 b))))) 1)
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (-.f64 (.f64 4 (fma.f64 (.f64 b b) (-.f64 1 b) (.f64 a (*.f64 a (+.f64 b 3))))) 1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (.f64 b (.f64 b (-.f64 1 b)))) -1))
(+.f64 (pow.f64 (fma.f64 a a (.f64 b b)) 2) (fma.f64 4 (fma.f64 a (.f64 a (+.f64 b 3)) (-.f64 (*.f64 b b) (pow.f64 b 3))) -1))
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 b (-.f64 b (.f64 b b)) (.f64 (*.f64 a a) (+.f64 b 3))) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

602×	`fma-def_binary64`
565×	`cancel-sign-sub-inv_binary64`
400×	`associate-+l-_binary64`
388×	`associate--r-_binary64`
342×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	57	37
2	198	37
3	696	37
4	2292	33
5	4251	33

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

eval1.0ms (0%)

Compiler: Compiled 54 to 32 computations (40.7% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full 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 3 a))))) 1)
▶	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

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 3 a))))) 1)

▶

0.0b

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

Compiler

Compiled 56 to 35 computations (37.5% saved)

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
	0.0b	(-.f64 a (*.f64 a a))
	0.0b	(*.f64 b (+.f64 a 3))
	0.0b	(hypot.f64 a b)
✓	0.0b	(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
✓	0.0b	(pow.f64 (hypot.f64 a b) 4)
✓	0.1b	(fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3))))
✓	0.2b	(.f64 b (.f64 b (+.f64 a 3)))

series100.0ms (1.2%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
83.0ms	a	@	inf	(pow.f64 (hypot.f64 a b) 4)
3.0ms	b	@	0	(pow.f64 (hypot.f64 a b) 4)
2.0ms	a	@	0	(pow.f64 (hypot.f64 a b) 4)
1.0ms	b	@	inf	(pow.f64 (hypot.f64 a b) 4)
1.0ms	b	@	0	(.f64 b (.f64 b (+.f64 a 3)))

rewrite97.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
723×	`fma-def_binary64`
390×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	70
1	362	70
2	4967	70

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify162.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

607×	`associate-l_binary64`
600×	`+-commutative_binary64`
562×	`associate-r_binary64`
455×	`fma-neg_binary64`
344×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2111
1	603	1955
2	2187	1855
3	7036	1847

Stop Event

1×	node limit

Counts

230 → 199

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 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 (.f64 2 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 b 6))))) (.f64 5/64 (/.f64 1 (pow.f64 b 6)))) (.f64 (pow.f64 a 8) (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 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (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)))))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (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)))))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(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 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (pow.f64 b 8) (+.f64 (.f64 -1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 a 6))) (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2))) (.f64 5/64 (/.f64 1 (pow.f64 a 6))))))) (+.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 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (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 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))
(+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))
(-.f64 (+.f64 (*.f64 12 (pow.f64 b 2)) (pow.f64 b 4)) 1)
(-.f64 (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 b 4)))) 1)
(-.f64 (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 b 4))))) 1)
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (pow.f64 a 4)))
(+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 b 2)) 4) (pow.f64 a 2)) (+.f64 (.f64 4 (*.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(-.f64 (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4)) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (pow.f64 a 4))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (.f64 (+.f64 (.f64 5/64 (/.f64 1 (pow.f64 a 6))) (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 a 3)) 2) (*.f64 1/16 (/.f64 1 (pow.f64 a 6)))))) (pow.f64 b 8)))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (pow.f64 a 2)))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (*.f64 a a))
(fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (.f64 a (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 a a) (fma.f64 a (.f64 b b) (neg.f64 (pow.f64 a 3))))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(.f64 a (-.f64 (+.f64 (.f64 b b) a) (*.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 a a) (fma.f64 a (.f64 b b) (neg.f64 (pow.f64 a 3))))
(-.f64 (.f64 a (+.f64 (.f64 b b) a)) (pow.f64 a 3))
(.f64 a (-.f64 (+.f64 (.f64 b b) a) (*.f64 a a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (+.f64 (pow.f64 a 2) (+.f64 (.f64 a (pow.f64 b 2)) (*.f64 -1 (pow.f64 a 3)))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 a (-.f64 a (pow.f64 a 2)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 b 2) (+.f64 3 a)) (.f64 a (-.f64 a (pow.f64 a 2))))
(+.f64 (.f64 (.f64 b b) (+.f64 3 a)) (+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3))))
(fma.f64 (.f64 b b) (+.f64 3 a) (-.f64 (.f64 a a) (pow.f64 a 3)))
(-.f64 (fma.f64 (.f64 b b) (+.f64 3 a) (.f64 a a)) (pow.f64 a 3))
(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 b (.f64 b (*.f64 a a))) (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 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 a (.f64 a 2)) (*.f64 b b) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (.f64 1/16 (/.f64 1 (pow.f64 b 6))))) (.f64 5/64 (/.f64 1 (pow.f64 b 6)))) (.f64 (pow.f64 a 8) (pow.f64 b 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))))
(fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (fma.f64 2 (.f64 (fma.f64 -1 (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (/.f64 1/16 (pow.f64 b 6))) (/.f64 5/64 (pow.f64 b 6))) (.f64 (.f64 b b) (pow.f64 a 8))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))))
(+.f64 (fma.f64 (.f64 2 (-.f64 (/.f64 5/64 (pow.f64 b 6)) (+.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2) (/.f64 1/16 (pow.f64 b 6))))) (.f64 b (.f64 b (pow.f64 a 8))) (pow.f64 a 4)) (fma.f64 2 (.f64 b (.f64 b (.f64 a a))) (pow.f64 b 4)))
(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 2 (.f64 b b)) (+.f64 (.f64 a a) (.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)) (.f64 (/.f64 1 (pow.f64 b 6)) 1/64)) (pow.f64 a 8))))))
(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 2 (.f64 b b)) (+.f64 (.f64 a a) (.f64 (-.f64 (.f64 (/.f64 1 (pow.f64 b 6)) 1/64) (pow.f64 (/.f64 -1/8 (pow.f64 b 3)) 2)) (pow.f64 a 8))))))
(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 (.f64 a (.f64 a 2)) (*.f64 b b) (pow.f64 a 4))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (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)))))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)) (pow.f64 b 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 a (.f64 a 2)) (*.f64 b b) (pow.f64 a 4)))
(+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 a 4)))
(+.f64 (.f64 -1/2 (pow.f64 b 4)) (+.f64 (.f64 1/2 (pow.f64 b 4)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (+.f64 (.f64 1/4 (/.f64 (pow.f64 b 6) (pow.f64 a 2))) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 b 4)) (.f64 1/4 (pow.f64 b 4))) (pow.f64 b 2)) (pow.f64 a 2))))))))))
(fma.f64 -1/2 (pow.f64 b 4) (fma.f64 1/2 (pow.f64 b 4) (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (pow.f64 b 4)) (+.f64 (pow.f64 a 4) (fma.f64 1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (.f64 2 (/.f64 (.f64 (.f64 b b) (.f64 (pow.f64 b 4) 0)) (.f64 a a)))))))))
(+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 (.f64 a (.f64 a 2)) (.f64 b b) (pow.f64 a 4))) (fma.f64 (/.f64 (pow.f64 b 6) (.f64 a a)) 1/4 (/.f64 (.f64 (.f64 b b) 0) (.f64 a a))))) 0)
(fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (pow.f64 a 4)) (.f64 (/.f64 1/4 (.f64 a a)) (pow.f64 b 6)))))
(fma.f64 -1/4 (/.f64 (pow.f64 b 6) (.f64 a a)) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 2 (.f64 (.f64 b b) (.f64 a a)) (pow.f64 a 4))) (.f64 (/.f64 1/4 (.f64 a a)) (pow.f64 b 6))))
(pow.f64 a 4)
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (pow.f64 a 4))
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(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 a (.f64 a 2))) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))) -1))
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 a (.f64 a 2))) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))) -1))
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4))))
(pow.f64 b 4)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (*.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (pow.f64 b 4))
(fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (*.f64 b b) (pow.f64 b 4))
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 a (*.f64 a 2))) (pow.f64 b 4))
(fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (*.f64 2 a)))) (pow.f64 b 4))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (*.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 a (.f64 a 2))) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))) -1))
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 a 2)) (.f64 4 (+.f64 3 a))) (pow.f64 b 2)) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 a 6) (pow.f64 b 2))) (+.f64 (.f64 1/2 (pow.f64 a 4)) (+.f64 (.f64 -1/2 (pow.f64 a 4)) (+.f64 (.f64 4 (.f64 a (-.f64 a (pow.f64 a 2)))) (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 a 4)) (*.f64 1/4 (pow.f64 a 4))) (pow.f64 a 2)) (pow.f64 b 2))))))))))) 1)
(+.f64 (fma.f64 (fma.f64 2 (.f64 a a) (+.f64 12 (.f64 4 a))) (.f64 b b) (+.f64 (fma.f64 4 (.f64 a (-.f64 a (*.f64 a a))) (pow.f64 a 4)) (pow.f64 b 4))) -1)
(fma.f64 (.f64 b b) (fma.f64 (+.f64 3 a) 4 (.f64 a (.f64 a 2))) (+.f64 (+.f64 (pow.f64 b 4) (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4))) -1))
(+.f64 -1 (+.f64 (fma.f64 (-.f64 (.f64 a a) (pow.f64 a 3)) 4 (pow.f64 a 4)) (fma.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))) (pow.f64 b 4))))

localize34.0ms (0.4%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.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 3 a)))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
✓	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
✓	1.0b	(.f64 (.f64 b b) (+.f64 3 a))

series9.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
1.0ms	b	@	0	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.0ms	a	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	b	@	inf	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0ms	a	@	0	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite205.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

901×	`fma-def_binary64`
408×	`fma-neg_binary64`
315×	`expm1-udef_binary64`
314×	`log1p-udef_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	54
1	390	53
2	5451	53

Stop Event

1×	node limit

Counts

4 → 171

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b (.f64 b 3)) 1) (.f64 (.f64 b (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 b b) (+.f64 3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 b (.f64 b 3)) 3) (pow.f64 (.f64 b (.f64 b a)) 3)) (fma.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3)) (-.f64 (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a))) (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 b (.f64 b 3)) (.f64 b (.f64 b 3))) (.f64 (.f64 b (.f64 b a)) (.f64 b (.f64 b a)))) (fma.f64 b (.f64 b 3) (neg.f64 (.f64 b (.f64 b a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 27 (pow.f64 a 3)) (.f64 b b)) (fma.f64 a (-.f64 a 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 9 (.f64 a a)) (.f64 b b)) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (+.f64 27 (pow.f64 a 3))) (fma.f64 a (-.f64 a 3) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 b b) (-.f64 9 (.f64 a a))) (-.f64 3 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 b b) (+.f64 3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 b b) (+.f64 3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 b (sqrt.f64 (+.f64 3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (+.f64 3 a) 2) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 3 a)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 b b) (+.f64 3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (.f64 b 3) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b (.f64 b a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) 3 (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b b) a (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 3 (.f64 b b) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 b b) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (.f64 b 3)) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 b (.f64 b a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (.f64 (pow.f64 (cbrt.f64 b) 2) 3) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 b 4)) (.f64 (pow.f64 (cbrt.f64 b) 2) a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 b b)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 b b)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (.f64 b 3)) 1 (.f64 (.f64 b (.f64 b a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b (.f64 b 3))) (cbrt.f64 (.f64 b (.f64 b 3)))) (cbrt.f64 (.f64 b (.f64 b 3))) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 b (.f64 b a))) (cbrt.f64 (.f64 b (.f64 b a)))) (cbrt.f64 (.f64 b (.f64 b a))) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b (.f64 b 3))) (sqrt.f64 (.f64 b (.f64 b 3))) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 b (.f64 b a))) (sqrt.f64 (.f64 b (.f64 b a))) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a b) b (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 a)) (.f64 b (sqrt.f64 a)) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 a) b) (.f64 (sqrt.f64 a) b) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 b) b (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 3 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (.f64 b (.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b b) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 b b) (sqrt.f64 a)) (sqrt.f64 a) (.f64 b (.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (.f64 b (.f64 b 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(2) ((x fma.f64 (.f64 4 (.f64 a a)) (-.f64 1 a) (.f64 b (.f64 (.f64 b (+.f64 3 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (-.f64 1 a)) (.f64 a a) (.f64 b (.f64 (.f64 b (+.f64 3 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (cbrt.f64 (.f64 (pow.f64 a 4) (pow.f64 (-.f64 1 a) 2)))) (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) (.f64 b (.f64 (.f64 b (+.f64 3 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (.f64 a (sqrt.f64 (-.f64 1 a)))) (.f64 a (sqrt.f64 (-.f64 1 a))) (.f64 b (.f64 (.f64 b (+.f64 3 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 b) (.f64 b (+.f64 3 a)) (.f64 (.f64 4 a) (.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (.f64 b b)) (+.f64 3 a) (.f64 (.f64 4 a) (.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (+.f64 3 a)) (.f64 b b) (.f64 (.f64 4 a) (.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (cbrt.f64 (.f64 (pow.f64 (+.f64 3 a) 2) (pow.f64 b 4)))) (cbrt.f64 (.f64 (.f64 b b) (+.f64 3 a))) (.f64 (.f64 4 a) (.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 4 (.f64 b (sqrt.f64 (+.f64 3 a)))) (.f64 b (sqrt.f64 (+.f64 3 a))) (.f64 (.f64 4 a) (.f64 a (-.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (.f64 a (-.f64 1 a)))))) 1))))))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

651×	`associate-r_binary64`
639×	`distribute-rgt-out_binary64`
489×	`unswap-sqr_binary64`
431×	`distribute-rgt-neg-in_binary64`
378×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	47	1315
1	131	1233
2	366	1154
3	1229	1140
4	2814	1140
5	5826	1140

Stop Event

1×	node limit

Counts

255 → 211

Calls

Call 1

Inputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(*.f64 3 (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(*.f64 a (pow.f64 b 2))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.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 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(*.f64 -4 (pow.f64 a 3))
(+.f64 (.f64 4 (pow.f64 a 2)) (.f64 -4 (pow.f64 a 3)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))

Outputs
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 (pow.f64 b 2) (+.f64 3 a))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 3 (pow.f64 b 2))
(.f64 (.f64 b b) 3)
(.f64 b (.f64 b 3))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(*.f64 a (pow.f64 b 2))
(.f64 (.f64 b b) a)
(.f64 b (.f64 b a))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(+.f64 (.f64 3 (pow.f64 b 2)) (.f64 a (pow.f64 b 2)))
(.f64 (.f64 b b) (+.f64 3 a))
(.f64 b (.f64 b (+.f64 3 a)))
(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 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (.f64 b b)))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (pow.f64 b 4))
(.f64 (.f64 b b) (fma.f64 b b (.f64 2 (.f64 a a))))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(+.f64 (.f64 2 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4)))
(+.f64 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 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 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b (*.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (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 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 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 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4))
(fma.f64 (.f64 a a) (.f64 b (*.f64 b 2)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (.f64 2 (*.f64 a a)) (pow.f64 a 4))
(fma.f64 2 (.f64 b (.f64 b (*.f64 a a))) (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 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (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 (fma.f64 2 (.f64 (.f64 b b) (*.f64 a a)) (pow.f64 b 4)) (pow.f64 a 4))
(+.f64 (pow.f64 b 4) (fma.f64 (.f64 2 (.f64 a a)) (*.f64 b b) (pow.f64 a 4)))
(fma.f64 (.f64 b b) (fma.f64 2 (.f64 a a) (*.f64 b b)) (pow.f64 a 4))
(fma.f64 (.f64 b b) (fma.f64 b b (.f64 2 (*.f64 a a))) (pow.f64 a 4))
(pow.f64 a 4)
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(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 (.f64 (*.f64 b b) a) 4))))
(fma.f64 4 (.f64 a a) (fma.f64 (pow.f64 a 3) -4 (.f64 (.f64 b b) (+.f64 12 (.f64 a 4)))))
(fma.f64 (.f64 b b) (fma.f64 a 4 12) (.f64 (.f64 a a) (+.f64 (.f64 a -4) 4)))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 (.f64 a a) (-.f64 1 a) (.f64 b (.f64 b (+.f64 3 a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 3 a)) (-.f64 (*.f64 a a) (pow.f64 a 3))))

eval480.0ms (5.7%)

Compiler: Compiled 13724 to 7416 computations (46% saved)

prune75.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	404	6	410
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	406	6	412

Error

Counts

412 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
	13.3b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.2b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	0.8b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
▶	9.5b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
▶	49.5b	(*.f64 (pow.f64 a 3) (+.f64 a -4))

Compiler

Compiled 270 to 188 computations (30.4% saved)

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
	0.0b	(*.f64 a (-.f64 1 a))
✓	0.3b	(pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	1.0b	(.f64 (.f64 b b) (+.f64 3 a))
✓	28.5b	(cbrt.f64 (.f64 a (.f64 a (-.f64 1 a))))

series11.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)
2.0ms	a	@	inf	(pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)
2.0ms	a	@	0	(pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)
1.0ms	a	@	inf	(cbrt.f64 (.f64 a (.f64 a (-.f64 1 a))))
1.0ms	a	@	0	(cbrt.f64 (.f64 a (.f64 a (-.f64 1 a))))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

805×	`pow1_binary64`
757×	`add-log-exp_binary64`
756×	`log1p-expm1-u_binary64`
756×	`expm1-log1p-u_binary64`
741×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	192	22
2	2075	22

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(cbrt.f64 (.f64 a (.f64 a (-.f64 1 a))))
(pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3)

Outputs

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

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

875×	`times-frac_binary64`
582×	`fma-def_binary64`
345×	`associate-+l+_binary64`
342×	`associate-+r+_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	476
1	289	415
2	881	377
3	4096	342

Stop Event

1×	node limit

Counts

81 → 90

Calls

Call 1

Inputs
(*.f64 a (cbrt.f64 -1))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (.f64 a (cbrt.f64 -1)))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (.f64 a (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 1 a)))))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (.f64 a (cbrt.f64 -1)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 1 a))))))
(*.f64 -1 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (+.f64 (.f64 1/9 (/.f64 1 a)) (.f64 -1 a)))
(+.f64 1/3 (+.f64 (.f64 5/81 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/9 (/.f64 1 a)) (*.f64 -1 a))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (.f64 -1 (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) a) (.f64 -1 (pow.f64 a 3))))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (.f64 2/27 (pow.f64 1 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) a) (.f64 -1 (pow.f64 a 3))))))))
(*.f64 -1 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))

Outputs
(*.f64 a (cbrt.f64 -1))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (.f64 a (cbrt.f64 -1)))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 a (cbrt.f64 -1)))
(fma.f64 a (cbrt.f64 -1) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (.f64 a (cbrt.f64 -1)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 1 a)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 a (cbrt.f64 -1) (.f64 -1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (/.f64 1 a)))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 a (cbrt.f64 -1) (*.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) a))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (/.f64 -1/9 a) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (*.f64 a (cbrt.f64 -1))))
(fma.f64 a (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) a) (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)) (+.f64 (.f64 a (cbrt.f64 -1)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 (pow.f64 a 2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (/.f64 1 a))))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 a (cbrt.f64 -1) (fma.f64 -1/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -2/9)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 a a))) (.f64 -1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (/.f64 1 a))))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 a (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) a) (.f64 -1/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (.f64 a (.f64 a (pow.f64 (cbrt.f64 -1) 2))))))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) (/.f64 -1/9 a) (fma.f64 a (cbrt.f64 -1) (.f64 -1/3 (.f64 (/.f64 -1 (cbrt.f64 -1)) (/.f64 -5/27 (*.f64 a a)))))))
(fma.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))) a) (fma.f64 a (cbrt.f64 -1) (*.f64 (/.f64 -1 (cbrt.f64 -1)) (/.f64 (/.f64 5/81 a) a)))))
(*.f64 -1 a)
(neg.f64 a)
(+.f64 1/3 (*.f64 -1 a))
(+.f64 1/3 (neg.f64 a))
(-.f64 1/3 a)
(+.f64 1/3 (+.f64 (.f64 1/9 (/.f64 1 a)) (.f64 -1 a)))
(+.f64 1/3 (+.f64 (neg.f64 a) (/.f64 1/9 a)))
(+.f64 1/3 (-.f64 (/.f64 1/9 a) a))
(+.f64 (/.f64 1/9 a) (-.f64 1/3 a))
(+.f64 1/3 (+.f64 (.f64 5/81 (/.f64 1 (pow.f64 a 2))) (+.f64 (.f64 1/9 (/.f64 1 a)) (*.f64 -1 a))))
(+.f64 (+.f64 1/3 (/.f64 5/81 (*.f64 a a))) (+.f64 (neg.f64 a) (/.f64 1/9 a)))
(+.f64 (-.f64 (/.f64 1/9 a) a) (+.f64 1/3 (/.f64 5/81 (*.f64 a a))))
(+.f64 (/.f64 1/9 a) (+.f64 (/.f64 (/.f64 5/81 a) a) (-.f64 1/3 a)))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (.f64 -1 (pow.f64 a 3)))
(fma.f64 (.f64 a a) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) 1) (neg.f64 (pow.f64 a 3)))
(fma.f64 (*.f64 a a) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (neg.f64 (pow.f64 a 3)))
(.f64 (.f64 a a) (-.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) a))
(.f64 a (.f64 a (-.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) a)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) a) (.f64 -1 (pow.f64 a 3))))
(fma.f64 (.f64 a a) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) 1) (fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9)) a (neg.f64 (pow.f64 a 3))))
(-.f64 (fma.f64 (.f64 a a) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (.f64 a (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 -1/9 (cbrt.f64 -1)))))) (pow.f64 a 3))
(fma.f64 a (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) -1/9))) (.f64 (.f64 a a) (-.f64 (cbrt.f64 (*.f64 -1 (cbrt.f64 -1))) a)))
(.f64 a (+.f64 (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 -1/9 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (.f64 a (-.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) a))))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (+.f64 (.f64 -1/3 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (cbrt.f64 -1))) (.f64 2/27 (pow.f64 1 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (cbrt.f64 -1)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)) (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) a) (.f64 -1 (pow.f64 a 3))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9)) (fma.f64 -1/3 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -2/9)) (fma.f64 (.f64 a a) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) 1) (fma.f64 -2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (fma.f64 -2/3 (/.f64 (+.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -2/9)) (cbrt.f64 -1)) 2/27) (cbrt.f64 -1) (fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) -1/9) (cbrt.f64 -1) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9)) a (neg.f64 (pow.f64 a 3))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (+.f64 (-.f64 (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) -5/27) (cbrt.f64 -1)) 2/27) (.f64 a (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) (.f64 -1/9 (cbrt.f64 -1)))))) (pow.f64 a 3)) (fma.f64 (.f64 a a) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) (/.f64 -2/27 (pow.f64 (cbrt.f64 -1) 2))))))
(fma.f64 -1/3 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) -1/27) (+.f64 (fma.f64 (cbrt.f64 -1) (fma.f64 -2/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) 2/27) (/.f64 -2/27 (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 a (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) (.f64 (cbrt.f64 -1) -1/9))) (.f64 (.f64 a a) (-.f64 (cbrt.f64 (.f64 -1 (cbrt.f64 -1))) a))))))
(fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (cbrt.f64 (/.f64 -1 (cbrt.f64 -1))) -1/27) (+.f64 (/.f64 -1/81 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 (cbrt.f64 -1) -4/81) (.f64 a (+.f64 (fma.f64 1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) (.f64 -1/9 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 -1 (cbrt.f64 -1)))))) (.f64 a (-.f64 (cbrt.f64 (neg.f64 (cbrt.f64 -1))) a)))))))
(*.f64 -1 (pow.f64 a 3))
(neg.f64 (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))
(+.f64 (pow.f64 a 2) (*.f64 -1 (pow.f64 a 3)))
(+.f64 (*.f64 a a) (neg.f64 (pow.f64 a 3)))
(-.f64 (*.f64 a a) (pow.f64 a 3))

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
✓	0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0ms	a	@	inf	(*.f64 (pow.f64 a 3) (+.f64 a -4))
0.0ms	a	@	-inf	(*.f64 (pow.f64 a 3) (+.f64 a -4))

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	1992	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 3) -4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 a 4) 1) (*.f64 (*.f64 (pow.f64 a 3) -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 a 3) (+.f64 a -4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (*.f64 (pow.f64 a 3) -4) 3)) (+.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (-.f64 (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4)) (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (*.f64 (*.f64 (pow.f64 a 3) -4) (*.f64 (pow.f64 a 3) -4))) (-.f64 (pow.f64 a 4) (*.f64 (pow.f64 a 3) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 a 3) -64) (pow.f64 a 3)) (fma.f64 a a (-.f64 16 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -16) (pow.f64 a 3)) (-.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (+.f64 (pow.f64 a 3) -64)) (fma.f64 a a (-.f64 16 (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (fma.f64 a a -16)) (-.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (cbrt.f64 (+.f64 a -4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (+.f64 a -4)) (pow.f64 a 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 2) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 a -4)) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 a 3) 3) (pow.f64 (+.f64 a -4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 a -4) 3) (pow.f64 (pow.f64 a 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (pow.f64 a 3) (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 a 3) a (*.f64 (pow.f64 a 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4))))))))

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1088×	`sqr-pow_binary64`
592×	`pow-sqr_binary64`
563×	`fabs-mul_binary64`
542×	`cube-prod_binary64`
528×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	23	114
2	49	114
3	101	105
4	237	105
5	851	105
6	1955	105
7	2368	105
8	2528	105
9	2710	105
10	2950	105
11	3261	105
12	3647	105
13	4128	105
14	4755	105
15	5559	105
16	5961	105
17	6323	105
18	6613	105
19	6849	105
20	7001	105

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

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

Outputs
(*.f64 -4 (pow.f64 a 3))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))

localize13.0ms (0.2%)

Local error

Found 6 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
	0.2b	(.f64 b (.f64 b 12))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.2b	(.f64 b (.f64 b 12))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 b (.f64 b 12))
0.0ms	b	@	inf	(.f64 b (.f64 b 12))
0.0ms	a	@	inf	(+.f64 (.f64 a a) (.f64 b b))
0.0ms	a	@	0	(+.f64 (.f64 a a) (.f64 b b))
0.0ms	b	@	-inf	(.f64 b (.f64 b 12))

rewrite115.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	191	14
2	2441	14

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 b (.f64 b 12))
(+.f64 (.f64 a a) (.f64 b b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 b (*.f64 b 12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (*.f64 b 12)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 b (*.f64 b 12))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 b) (*.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 b (*.f64 b 12)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 b 3) (pow.f64 (*.f64 b 12) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b 12) 3) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 b (*.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 b (*.f64 b 12))))))))

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

simplify149.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1238×	`sqr-pow_binary64`
666×	`cube-prod_binary64`
660×	`fabs-mul_binary64`
590×	`associate-l_binary64`
532×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	288
1	19	252
2	36	252
3	64	252
4	150	252
5	452	252
6	1759	252
7	2076	252
8	2353	252
9	2604	252
10	2941	252
11	3434	252
12	4089	252
13	4877	252
14	5799	252
15	6322	252
16	6741	252
17	7132	252
18	7249	252
19	7297	252

Stop Event

1×	node limit

Counts

82 → 53

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(pow.f64 b 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))
(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))
(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))
(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))
(pow.f64 b 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))
(pow.f64 b 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))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 a 2)
(*.f64 a a)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))
(+.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 (.f64 b b) (.f64 a a))
(fma.f64 a a (*.f64 b b))
(fma.f64 b b (*.f64 a a))

localize130.0ms (1.5%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))
	0.0b	(.f64 (.f64 a a) -4)
	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
	0.0b	(+.f64 (.f64 a a) (.f64 b b))
✓	0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
✓	0.0b	(.f64 (.f64 a a) -4)
✓	0.1b	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))
	0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
1.0ms	a	@	0	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))
1.0ms	b	@	0	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
1.0ms	a	@	inf	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))
0.0ms	a	@	0	(.f64 (.f64 a a) -4)

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`log-prod_binary64`
676×	`fma-def_binary64`
342×	`fma-neg_binary64`
264×	`log1p-udef_binary64`
263×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	318	43
2	4391	39

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 4) (*.f64 -4 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (pow.f64 a 3)) (*.f64 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 a (fma.f64 a -4 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4 (pow.f64 a 3)) 1) (*.f64 (*.f64 (*.f64 a a) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a -4 4))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a -4 4))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a -4 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a -4 4)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a -4 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a -4 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -4 (pow.f64 a 3)) 3) (pow.f64 (*.f64 (*.f64 a a) 4) 3)) (fma.f64 (*.f64 -4 (pow.f64 a 3)) (*.f64 -4 (pow.f64 a 3)) (-.f64 (*.f64 (*.f64 (*.f64 a a) 4) (*.f64 (*.f64 a a) 4)) (*.f64 (*.f64 -4 (pow.f64 a 3)) (*.f64 (*.f64 a a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 -4 (pow.f64 a 3)) (*.f64 -4 (pow.f64 a 3)) (neg.f64 (*.f64 (*.f64 (*.f64 a a) 4) (*.f64 (*.f64 a a) 4)))) (-.f64 (*.f64 -4 (pow.f64 a 3)) (*.f64 (*.f64 a a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 a 3)) (*.f64 a (*.f64 a -4))) (-.f64 (fma.f64 a a 1) (*.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 a a -1) (*.f64 a (*.f64 a -4))) (+.f64 a 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (*.f64 a -4)) (+.f64 -1 (pow.f64 a 3))) (-.f64 (fma.f64 a a 1) (*.f64 a -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a (*.f64 a -4)) (fma.f64 a a -1)) 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-4))) (fma.f64 (*.f64 a a) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1) a) (*.f64 a -4) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (*.f64 a -4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 (*.f64 a a) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (*.f64 a -4)) (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 (*.f64 a a) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (cbrt.f64 (*.f64 (pow.f64 a 4) 16))) (cbrt.f64 (*.f64 a (*.f64 a -4))) (fma.f64 (*.f64 a a) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 a (sqrt.f64 -4))) (*.f64 a (sqrt.f64 -4)) (fma.f64 (*.f64 a a) 4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (*.f64 a -4)) (pow.f64 (cbrt.f64 (+.f64 a -1)) 2)) (cbrt.f64 (+.f64 a -1)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a (*.f64 a -4)) (sqrt.f64 (+.f64 a -1))) (sqrt.f64 (+.f64 a -1)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1) (*.f64 a a)) -4 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1) (cbrt.f64 (*.f64 (pow.f64 a 4) 16))) (cbrt.f64 (*.f64 a (*.f64 a -4))) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 a -1) (*.f64 a (sqrt.f64 -4))) (*.f64 a (sqrt.f64 -4)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 (hypot.f64 a b) 2) (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) (cbrt.f64 (pow.f64 (hypot.f64 a b) 2)) (*.f64 a (*.f64 a (fma.f64 a -4 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 (pow.f64 (hypot.f64 a b) 2) 2))) 1))))))

simplify184.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-l_binary64`
499×	`unswap-sqr_binary64`
489×	`distribute-lft-out_binary64`
456×	`distribute-rgt-out_binary64`
421×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	721
1	128	721
2	315	689
3	1070	685
4	3042	685
5	6215	685

Stop Event

1×	node limit

Counts

211 → 190

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
	0.0b	(+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (.f64 b b) (+.f64 3 a)))
	0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
✓	0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
	0.1b	(.f64 (.f64 a a) (-.f64 1 a))
	1.0b	(.f64 (.f64 b b) (+.f64 3 a))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	0	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	inf	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	a	@	-inf	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.0ms	b	@	inf	(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))

rewrite204.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`log-prod_binary64`
444×	`fma-neg_binary64`
308×	`expm1-udef_binary64`
307×	`log1p-udef_binary64`
248×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	371	27
2	5383	27

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 a 8) (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (/.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)) (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))) (cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 2)) (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 (*.f64 a a) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3)))))) (hypot.f64 (*.f64 a a) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3))) (/.f64 1 (+.f64 (pow.f64 a 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 a 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (/.f64 1 (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 a 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 4))))) (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (-.f64 (pow.f64 a 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3))) (+.f64 (pow.f64 a 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3))) (+.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)) (-.f64 (pow.f64 a 8) (*.f64 (*.f64 (pow.f64 a 4) 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 a 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 a 12) (*.f64 64 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 3)))) (neg.f64 (+.f64 (pow.f64 a 8) (*.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 a 8) (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)))) (neg.f64 (+.f64 (pow.f64 a 4) (*.f64 -4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2)) (pow.f64 a 8)) (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (neg.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (*.f64 a a) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 a 4))) (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (pow.f64 a 4)) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (pow.f64 a 4))) (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (exp.f64 (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 4) (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (+.f64 1 (expm1.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))) (+.f64 1 (expm1.f64 (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) (*.f64 a a) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 a 4) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 4 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 16 (pow.f64 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) 2))) (cbrt.f64 (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 8)) (cbrt.f64 (pow.f64 a 4)) (*.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3))))) (*.f64 2 (hypot.f64 (*.f64 a (sqrt.f64 (-.f64 1 a))) (*.f64 b (sqrt.f64 (+.f64 a 3))))) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 4 (fma.f64 a (*.f64 a (-.f64 1 a)) (*.f64 b (*.f64 b (+.f64 a 3)))) (pow.f64 a 4))) 1))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

940×	`difference-of-squares_binary64`
485×	`associate-l_binary64`
416×	`distribute-lft-out_binary64`
365×	`distribute-rgt-out_binary64`
311×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	532
1	117	476
2	332	454
3	1159	450
4	2974	450
5	5262	450

Stop Event

1×	node limit

Counts

67 → 63

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (.f64 a (pow.f64 b 2)))))
(fma.f64 4 (.f64 a a) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a))))
(fma.f64 4 (.f64 a a) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 4 (*.f64 a a)))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 12 (pow.f64 b 2)) (.f64 4 (*.f64 a (pow.f64 b 2))))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 12 (.f64 b b) (.f64 4 (.f64 (*.f64 b b) a)))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (.f64 (.f64 b b) (+.f64 12 (.f64 4 a)))))
(fma.f64 (.f64 b b) (fma.f64 4 a 12) (.f64 (.f64 a a) (+.f64 4 (.f64 a -4))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (*.f64 a a) (pow.f64 a 3))))
(.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (.f64 a a)))))
(.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (.f64 a a) (-.f64 1 a))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 4 (.f64 b (*.f64 b a)) (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 -4 a)) (.f64 (.f64 4 a) (+.f64 (.f64 b b) a)))
(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a))))))
(pow.f64 a 4)
(+.f64 (*.f64 -4 (pow.f64 a 3)) (pow.f64 a 4))
(fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4))
(*.f64 (pow.f64 a 3) (+.f64 -4 a))
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (pow.f64 a 4)))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (.f64 4 (pow.f64 a 2)) (+.f64 (.f64 -4 (pow.f64 a 3)) (+.f64 (.f64 4 (.f64 a (pow.f64 b 2))) (pow.f64 a 4))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 4 (.f64 (*.f64 b b) a) (pow.f64 a 4))))
(fma.f64 4 (.f64 a a) (fma.f64 -4 (pow.f64 a 3) (fma.f64 4 (.f64 b (*.f64 b a)) (pow.f64 a 4))))
(+.f64 (.f64 (pow.f64 a 3) (+.f64 -4 a)) (.f64 (.f64 4 a) (+.f64 (.f64 b b) a)))
(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a (+.f64 (*.f64 b b) a)) (pow.f64 a 3))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 a (+.f64 (.f64 b b) (-.f64 a (.f64 a a))))))
(+.f64 (pow.f64 a 4) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))))
(fma.f64 4 (*.f64 a a) (fma.f64 -4 (pow.f64 a 3) (pow.f64 a 4)))
(fma.f64 4 (.f64 a a) (.f64 (pow.f64 a 3) (+.f64 -4 a)))
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a))) (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))
(fma.f64 12 (.f64 b b) (.f64 4 (.f64 (.f64 b b) a)))
(.f64 (.f64 b b) (+.f64 12 (*.f64 4 a)))
(.f64 b (.f64 b (fma.f64 4 a 12)))
(.f64 (.f64 b b) (fma.f64 4 a 12))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))
(+.f64 (pow.f64 a 4) (+.f64 (.f64 4 (.f64 (pow.f64 a 2) (-.f64 1 a))) (.f64 4 (.f64 (pow.f64 b 2) (+.f64 3 a)))))
(+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 b b) (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a)))))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (*.f64 a (-.f64 1 a)))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (.f64 (*.f64 a a) (-.f64 1 a))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 b (.f64 b (+.f64 a 3)) (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
(fma.f64 4 (fma.f64 (.f64 b b) (+.f64 a 3) (.f64 a (-.f64 a (*.f64 a a)))) (pow.f64 a 4))

eval510.0ms (6%)

Compiler: Compiled 22447 to 14096 computations (37.2% saved)

prune123.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	769	6	775
Fresh	1	0	1
Picked	1	0	1
Done	3	1	4
Total	774	7	781

Error

Counts

781 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
▶	14.1b	(-.f64 (pow.f64 b 4) 1)
▶	49.8b	(pow.f64 a 4)
▶	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	10.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	13.5b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
▶	10.3b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)

Compiler

Compiled 151 to 115 computations (23.8% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))
	0.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
	0.0b	(.f64 (.f64 a a) -4)
	0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
✓	0.0b	(+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
	0.0b	(.f64 (.f64 a a) -4)
✓	0.0b	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
	0.1b	(.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
0.0ms	a	@	inf	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
0.0ms	a	@	-inf	(+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))
0.0ms	a	@	-inf	(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
0.0ms	a	@	0	(+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1)))

rewrite91.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`fma-def_binary64`
636×	`log-prod_binary64`
449×	`fma-neg_binary64`
235×	`pow1/3_binary64`
230×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	295	37
2	4007	31

Stop Event

1×	node limit

Counts

2 → 204

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a (fma.f64 a -4 4))) (+.f64 (pow.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) -1) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1))) (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)) (sqrt.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) -1) (/.f64 1 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 (*.f64 a a) (*.f64 a (sqrt.f64 (fma.f64 a -4 4)))) 1) (-.f64 (hypot.f64 (*.f64 a a) (*.f64 a (sqrt.f64 (fma.f64 a -4 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1)) (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1) (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 3) -1) (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 3) -1) (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) (-.f64 1 (*.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a (fma.f64 a -4 4)) (pow.f64 a 4)) 2) -1) (fma.f64 (*.f64 a a) (fma.f64 a a (fma.f64 a -4 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 a (*.f64 a 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simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

864×	`fma-neg_binary64`
727×	`cancel-sign-sub-inv_binary64`
711×	`fma-def_binary64`
702×	`distribute-rgt-neg-in_binary64`
648×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	314
1	52	312
2	116	296
3	381	269
4	1181	252
5	3897	252
6	7707	252

Stop Event

1×	node limit

Counts

228 → 220

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 12 (.f64 b b))
✓	0.2b	(.f64 12 (.f64 b b))

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(.f64 12 (.f64 b b))
0.0ms	b	@	inf	(.f64 12 (.f64 b b))
0.0ms	b	@	-inf	(.f64 12 (.f64 b b))

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1146	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

Inputs
(.f64 12 (.f64 b b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b))) (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 12 (*.f64 b b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 12 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 144 (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 12) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 12 (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 12 (*.f64 b b))))))))

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2276	84
9	2460	84
10	2668	84
11	2959	84
12	3350	84
13	3830	84
14	4391	84
15	5073	84
16	5906	84
17	6298	84
18	6590	84
19	6868	84
20	6944	84
21	6980	84
22	7921	84

Stop Event

1×	node limit

Counts

26 → 16

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))

localize8.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
	0.0b	(*.f64 a (+.f64 a -4))
	0.0b	(+.f64 4 (*.f64 a (+.f64 a -4)))
✓	0.0b	(+.f64 4 (*.f64 a (+.f64 a -4)))
✓	0.0b	(*.f64 a (+.f64 a -4))
✓	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
0.0ms	a	@	inf	(*.f64 a (+.f64 a -4))

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`prod-diff_binary64`
575×	`fma-def_binary64`
552×	`log-prod_binary64`
304×	`fma-neg_binary64`
208×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	258	44
2	3543	44

Stop Event

1×	node limit

Counts

4 → 234

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(*.f64 a (+.f64 a -4))
(+.f64 4 (*.f64 a (+.f64 a -4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) 4) (.f64 (+.f64 a -4) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 a a) 4) 1) (.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) 4) 3) (pow.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) 3)) (fma.f64 (.f64 (.f64 a a) 4) (.f64 (.f64 a a) 4) (-.f64 (.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (+.f64 a -4) (pow.f64 a 3))) (.f64 (.f64 (.f64 a a) 4) (.f64 (+.f64 a -4) (pow.f64 a 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 (.f64 a a) 4) (.f64 (.f64 a a) 4) (neg.f64 (.f64 (.f64 (+.f64 a -4) (pow.f64 a 3)) (.f64 (+.f64 a -4) (pow.f64 a 3))))) (-.f64 (.f64 (.f64 a a) 4) (.f64 (+.f64 a -4) (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3)) (.f64 a a)) (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2)) (.f64 a a)) (-.f64 4 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (+.f64 64 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a 4))) (pow.f64 (cbrt.f64 a) 2) (fma.f64 (+.f64 a -4) (pow.f64 a 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4))) (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (.f64 a -4) 3)) (+.f64 (pow.f64 a 4) (-.f64 (.f64 (.f64 a -4) (.f64 a -4)) (.f64 (.f64 a a) (.f64 a -4)))))))) (#(struct:change #<rule 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log.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (exp.f64 (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a -4)) (pow.f64 (exp.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 a -4)) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a -4 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 1 (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 1 (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 a (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 a 4)) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 a 4)) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 a -4)) (cbrt.f64 (.f64 a -4))) (cbrt.f64 (.f64 a -4)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 (.f64 a -4)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 (.f64 a -4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -4 (sqrt.f64 a)) (sqrt.f64 a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (+.f64 a -4))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (+.f64 a -4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 16 (-.f64 4 (.f64 a (+.f64 a -4)))) (/.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2) (-.f64 4 (.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (+.f64 a -4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (+.f64 a -4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) 2) (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3)) (/.f64 1 (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2)) (/.f64 1 (-.f64 4 (.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16) (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 4 (.f64 a (+.f64 a -4))) (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3)) (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3)) (+.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2) (-.f64 16 (.f64 (.f64 4 a) (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2)) (-.f64 4 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3))) (neg.f64 (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2))) (neg.f64 (-.f64 4 (.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2) 16) (fma.f64 a (+.f64 a -4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (+.f64 a -4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16) (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 4 (.f64 a (+.f64 a -4))) (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (+.f64 a -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 1 (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 a -4) a 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a -4)) 1 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 a -4)) 2) (.f64 (cbrt.f64 (+.f64 a -4)) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 a 4)) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a (+.f64 a -4))) (cbrt.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2)) (cbrt.f64 (.f64 a (+.f64 a -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 a -4)) (.f64 (sqrt.f64 (+.f64 a -4)) a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (+.f64 a -4))) (sqrt.f64 (.f64 a (+.f64 a -4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (fma.f64 a -4 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 a -4)) 2)) (cbrt.f64 (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (+.f64 a -4))) (sqrt.f64 (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a -4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 a -4) (sqrt.f64 a)) (sqrt.f64 a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)) 1))))))

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-neg_binary64`
729×	`cancel-sign-sub-inv_binary64`
715×	`distribute-rgt-neg-in_binary64`
709×	`fma-def_binary64`
667×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	496
1	62	475
2	139	444
3	401	409
4	1114	403
5	3803	403
6	7622	403

Stop Event

1×	node limit

Counts

282 → 259

Calls

Call 1

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

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

localize2.0ms (0%)

localize3.0ms (0%)

eval252.0ms (3%)

Compiler: Compiled 11321 to 7699 computations (32% saved)

prune98.0ms (1.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	573	6	579
Fresh	0	1	1
Picked	0	1	1
Done	1	4	5
Total	574	12	586

Error

Counts

586 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	23.8b	-1
✓	10.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
▶	10.3b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
▶	22.9b	(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
▶	11.2b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	14.1b	(-.f64 (pow.f64 b 4) 1)
✓	49.8b	(pow.f64 a 4)
✓	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
▶	10.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
	13.5b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
▶	22.9b	(-.f64 (.f64 (.f64 a a) 4) 1)

Compiler

Compiled 216 to 158 computations (26.9% saved)

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(*.f64 a (fma.f64 a (+.f64 a -4) 4))
	0.1b	(.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))
	0.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
	0.0b	(fma.f64 a (+.f64 a -4) 4)
✓	0.0b	(fma.f64 a (+.f64 a -4) 4)
✓	0.0b	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
✓	0.1b	(.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))
✓	0.1b	(*.f64 a (fma.f64 a (+.f64 a -4) 4))

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
1.0ms	a	@	0	(*.f64 a (fma.f64 a (+.f64 a -4) 4))
0.0ms	a	@	-inf	(*.f64 a (fma.f64 a (+.f64 a -4) 4))
0.0ms	a	@	inf	(*.f64 a (fma.f64 a (+.f64 a -4) 4))
0.0ms	a	@	-inf	(.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

464×	`prod-diff_binary64`
458×	`log-prod_binary64`
343×	`exp-prod_binary64`
310×	`pow-prod-down_binary64`
261×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	220	48
2	2726	48

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

Inputs
(*.f64 a (fma.f64 a (+.f64 a -4) 4))
(.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)))
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(fma.f64 a (+.f64 a -4) 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (+.f64 a -4)) a) (.f64 4 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 a (+.f64 a -4))) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a -4) 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a -4) 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 2)) (cbrt.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))))) (sqrt.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 a (+.f64 a -4)) (.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a -4)) a (.f64 4 a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (+.f64 a -4)) (.f64 a a)) (.f64 4 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (.f64 a (+.f64 a -4))) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) a) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))) 2)) (cbrt.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))) (sqrt.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (.f64 a (+.f64 a -4)) (.f64 (.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (+.f64 a -4)) (.f64 a a) (.f64 4 (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) 1)) 2) (cbrt.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))) (hypot.f64 1 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (*.f64 a a))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 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a a) -1)))) (sqrt.f64 (log.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) a -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) (fma.f64 a (+.f64 a -4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4)) (cbrt.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 4)) (.f64 (cbrt.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 2)) (.f64 (cbrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) (.f64 (.f64 a (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) (.f64 (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) 1) (fma.f64 a (+.f64 a -4) 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (cbrt.f64 (pow.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) 2))) (cbrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)))) (sqrt.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a (fma.f64 a (+.f64 a -4) 4)) (sqrt.f64 a)) (sqrt.f64 a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 a (cbrt.f64 (fma.f64 a (+.f64 a -4) 4))) 2) (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a a) (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (.f64 (log.f64 (.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 (fma.f64 a (+.f64 a -4) 4) (.f64 a a) -1)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 4 (.f64 a (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (+.f64 a -4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (+.f64 a -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a (+.f64 a -4)) 1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 a (+.f64 a -4) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 a (+.f64 a -4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (+.f64 a -4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) (cbrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 2)) (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 a (+.f64 a -4)) 3) 64) (+.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2) (-.f64 16 (.f64 (.f64 a (+.f64 a -4)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2) 16) (fma.f64 a (+.f64 a -4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (+.f64 a -4) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4))) 2)) (cbrt.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)))) (sqrt.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 a (+.f64 a -4) 4) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 a (+.f64 a -4) 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 a (+.f64 a -4) 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 a (+.f64 a -4) 4)) 1) 1))))))

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

803×	`unswap-sqr_binary64`
742×	`fma-def_binary64`
411×	`fma-neg_binary64`
370×	`distribute-rgt-neg-in_binary64`
302×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	563
1	80	527
2	178	475
3	416	440
4	1179	434
5	2940	434
6	6143	434

Stop Event

1×	node limit

Counts

210 → 195

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 (.f64 a a) 4)
	0.0b	(-.f64 (.f64 (.f64 a a) 4) 1)
✓	0.0b	(-.f64 (.f64 (.f64 a a) 4) 1)
✓	0.0b	(.f64 (.f64 a a) 4)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	(-.f64 (.f64 (.f64 a a) 4) 1)
1.0ms	a	@	0	(.f64 (.f64 a a) 4)
1.0ms	a	@	inf	(.f64 (.f64 a a) 4)
0.0ms	a	@	inf	(-.f64 (.f64 (.f64 a a) 4) 1)
0.0ms	a	@	0	(-.f64 (.f64 (.f64 a a) 4) 1)

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
604×	`add-log-exp_binary64`
602×	`log1p-expm1-u_binary64`
602×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1741	15

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (.f64 a a) 4)
(-.f64 (.f64 (.f64 a a) 4) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 a (*.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 a (*.f64 a 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 a (*.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 a (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 a (*.f64 a 4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 a (*.f64 a 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) -1)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) -1)) 2) (cbrt.f64 (fma.f64 a (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 a (*.f64 a 4) -1)) (sqrt.f64 (fma.f64 a (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) -1) (/.f64 1 (+.f64 (*.f64 (pow.f64 a 4) 16) (fma.f64 a (*.f64 a 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) -1) (/.f64 1 (fma.f64 a (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 a 2) 1) (-.f64 (*.f64 a 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) (fma.f64 a (*.f64 a 4) 1)) (+.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 a (*.f64 a 4) 1) (+.f64 (*.f64 (pow.f64 a 4) 16) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) -1) (+.f64 (*.f64 (pow.f64 a 4) 16) (fma.f64 a (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) -1) (+.f64 (*.f64 (pow.f64 a 4) 16) (-.f64 1 (*.f64 (*.f64 a (*.f64 a 4)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) -1) (fma.f64 a (*.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) -1) (-.f64 (*.f64 a (*.f64 a 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 a a) 3) 64) -1)) (neg.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) (fma.f64 a (*.f64 a 4) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 a 4) 16) -1)) (neg.f64 (fma.f64 a (*.f64 a 4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a (*.f64 a 4) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a (*.f64 a 4) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 a (*.f64 a 4) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 a (*.f64 a 4) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 a (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a (*.f64 a 4) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 a (*.f64 a 4) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 a 4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 a (*.f64 a 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 a 4) 16)) (cbrt.f64 (*.f64 a (*.f64 a 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 2) (*.f64 a 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (*.f64 a (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 a (*.f64 a 4) -1)))))))

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	19	171
2	30	171
3	55	171
4	121	171
5	336	171
6	1252	171
7	2154	171
8	2318	171
9	2502	171
10	2710	171
11	3002	171
12	3393	171
13	3871	171
14	4434	171
15	5116	171
16	5955	171
17	6353	171
18	6641	171
19	6915	171
20	6989	171
21	7025	171
22	7966	171

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
-1
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)
(-.f64 (*.f64 4 (pow.f64 a 2)) 1)
(fma.f64 4 (*.f64 a a) -1)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))

series5.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))
1.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`pow1_binary64`
644×	`add-log-exp_binary64`
644×	`log1p-expm1-u_binary64`
644×	`expm1-log1p-u_binary64`
631×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	136	11
2	1779	11

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (*.f64 a a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 a a) 4) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 a a) 4) 1) (*.f64 (pow.f64 a 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 a (*.f64 a (fma.f64 a a 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a a) 4) 3) (pow.f64 (pow.f64 a 4) 3)) (+.f64 (*.f64 (*.f64 (*.f64 a a) 4) (*.f64 (*.f64 a a) 4)) (-.f64 (*.f64 (pow.f64 a 4) (pow.f64 a 4)) (*.f64 (*.f64 (*.f64 a a) 4) (pow.f64 a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (*.f64 a a) 4) (*.f64 (*.f64 a a) 4)) (*.f64 (pow.f64 a 4) (pow.f64 a 4))) (-.f64 (*.f64 (*.f64 a a) 4) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 64 (pow.f64 a 6)) (*.f64 a a)) (+.f64 16 (+.f64 (pow.f64 a 4) (*.f64 -4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 16 (pow.f64 a 4)) (*.f64 a a)) (-.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (+.f64 64 (pow.f64 a 6))) (+.f64 16 (+.f64 (pow.f64 a 4) (*.f64 -4 (*.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (-.f64 16 (pow.f64 a 4))) (-.f64 4 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 a (fma.f64 a a 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 a (fma.f64 a a 4))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 a (fma.f64 a a 4)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (sqrt.f64 (fma.f64 a a 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) (pow.f64 (fma.f64 a a 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (fma.f64 a a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 a (fma.f64 a a 4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 6) (pow.f64 (fma.f64 a a 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 a a 4) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 a (fma.f64 a a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a a) 4 (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 4 (*.f64 a a) (pow.f64 a 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 a (fma.f64 a a 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 a (fma.f64 a a 4)))))))))

simplify139.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
697×	`pow-sqr_binary64`
494×	`cube-prod_binary64`
402×	`fabs-mul_binary64`
392×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	114
1	18	114
2	40	114
3	96	114
4	264	114
5	924	114
6	1851	114
7	2146	114
8	2331	114
9	2532	114
10	2806	114
11	3166	114
12	3619	114
13	4150	114
14	4776	114
15	5531	114
16	5844	114
17	6066	114
18	6262	114
19	6318	114
20	6340	114
21	7174	114

Stop Event

1×	node limit

Counts

36 → 29

Calls

Call 1

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

Outputs
(*.f64 4 (pow.f64 a 2))
(.f64 4 (.f64 a a))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(pow.f64 a 4)
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(pow.f64 a 4)
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))
(+.f64 (*.f64 4 (pow.f64 a 2)) (pow.f64 a 4))
(fma.f64 4 (*.f64 a a) (pow.f64 a 4))
(fma.f64 a (*.f64 4 a) (pow.f64 a 4))
(.f64 a (.f64 a (fma.f64 a a 4)))
(*.f64 a (fma.f64 4 a (pow.f64 a 3)))

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.2b	(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)
	0.2b	(.f64 12 (.f64 b b))
	0.2b	(.f64 12 (.f64 b b))
✓	3.2b	(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	b	@	inf	(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)
0.0ms	b	@	0	(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)
0.0ms	b	@	-inf	(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`pow1_binary64`
769×	`add-log-exp_binary64`
768×	`log1p-expm1-u_binary64`
768×	`expm1-log1p-u_binary64`
756×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	178	7
2	2310	7

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 12 (*.f64 b b) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 12 (*.f64 b b) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 12 (*.f64 b b)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 12 (*.f64 b b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 12 (*.f64 b b) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 12 (*.f64 b b) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 12 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 12 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b (*.f64 12 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b b) 12)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 12 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 b 4)) (*.f64 (pow.f64 (cbrt.f64 b) 2) 12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) (cbrt.f64 (*.f64 (pow.f64 b 4) 144)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 b 4) 144)) (cbrt.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 b (sqrt.f64 12)) (*.f64 b (sqrt.f64 12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) (+.f64 (*.f64 12 (*.f64 b b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 12 (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 12 b) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 b (sqrt.f64 12))) 1) (-.f64 (hypot.f64 1 (*.f64 b (sqrt.f64 12))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 12 (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 12 b) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 12 b) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 12 b) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) (+.f64 (*.f64 12 (*.f64 b b)) 2)) (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 12 (*.f64 b b)) 2) (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) (+.f64 (*.f64 12 (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) (-.f64 1 (*.f64 (fma.f64 12 (*.f64 b b) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) -1) (+.f64 (*.f64 12 (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) -1) (-.f64 (fma.f64 12 (*.f64 b b) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) (+.f64 (*.f64 12 (*.f64 b b)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 12 (*.f64 b b) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 12 (*.f64 b b)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 12 (*.f64 b b) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 12 (*.f64 b b) -1) (fma.f64 12 (*.f64 b b) -1)) (fma.f64 12 (*.f64 b b) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 12 (*.f64 b b) -1) (fma.f64 12 (*.f64 b b) -1))) (-.f64 1 (fma.f64 12 (*.f64 b b) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 12 (*.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 12 (*.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 b (sqrt.f64 12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1728) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 b 4) 144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 b) b) 12))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 b b) 3) 1728))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 12 (*.f64 b b) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 12 (*.f64 b b) 1)) 2) (cbrt.f64 (fma.f64 12 (*.f64 b b) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 b (sqrt.f64 12))) (hypot.f64 1 (*.f64 b (sqrt.f64 12))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 12 (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 12 (*.f64 b b))))))))

simplify141.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1104×	`sqr-pow_binary64`
618×	`cube-prod_binary64`
555×	`fabs-mul_binary64`
536×	`pow-sqr_binary64`
445×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	107	84
5	336	84
6	1237	84
7	2113	84
8	2276	84
9	2460	84
10	2668	84
11	2959	84
12	3350	84
13	3830	84
14	4391	84
15	5073	84
16	5906	84
17	6298	84
18	6590	84
19	6868	84
20	6944	84
21	6980	84
22	7921	84

Stop Event

1×	node limit

Counts

58 → 47

Calls

Call 1

Inputs
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))
(*.f64 12 (pow.f64 b 2))

Outputs
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))
(*.f64 12 (pow.f64 b 2))
(.f64 12 (.f64 b b))

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))
	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
	0.0b	(+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))
	0.0b	(+.f64 (.f64 a -4) (.f64 a a))
✓	0.0b	(+.f64 (.f64 a -4) (.f64 a a))
✓	0.0b	(+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))
✓	0.0b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
✓	0.1b	(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))

series4.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))
0.0ms	a	@	-inf	(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))
0.0ms	a	@	inf	(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))
0.0ms	a	@	inf	(+.f64 (.f64 a -4) (.f64 a a))
0.0ms	a	@	0	(+.f64 (.f64 a -4) (.f64 a a))

rewrite92.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`fma-def_binary64`
572×	`log-prod_binary64`
341×	`fma-neg_binary64`
315×	`pow2_binary64`
214×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	50
1	260	44
2	3676	44

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

Inputs
(.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a))))
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))
(+.f64 (.f64 a -4) (.f64 a a))

Outputs
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(exp.f64 a) (.f64 a (fma.f64 a (+.f64 a -4) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 a a) 4) 3) (pow.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) 3)) (+.f64 (pow.f64 (.f64 (.f64 a a) 4) 2) (-.f64 (pow.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) 2) (.f64 (.f64 (.f64 a a) 4) (.f64 (pow.f64 a 3) (+.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 a a) 4) 2) (pow.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) 2)) (-.f64 (.f64 (.f64 a a) 4) (.f64 (pow.f64 a 3) (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 64 (pow.f64 (.f64 a (+.f64 a -4)) 3)) (.f64 a a)) (fma.f64 (.f64 a (+.f64 a -4)) (fma.f64 a (+.f64 a -4) -4) 16))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 16 (pow.f64 (.f64 a (+.f64 a -4)) 2)) (.f64 a a)) (-.f64 4 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) 4) (fma.f64 (pow.f64 a 3) (+.f64 a -4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (/.f64 1 (-.f64 (fma.f64 (.f64 a a) 16 (pow.f64 a 4)) (.f64 -4 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 a a) 16) (pow.f64 a 4)) (/.f64 1 (.f64 a (-.f64 -4 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 a -4) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (.f64 a a) 16 (pow.f64 a 4)) (.f64 -4 (pow.f64 a 3))) (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 a (-.f64 -4 a)) (-.f64 (.f64 (.f64 a a) 16) (pow.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (-.f64 (fma.f64 (.f64 a a) 16 (pow.f64 a 4)) (.f64 -4 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6)) (+.f64 (pow.f64 a 4) (-.f64 (.f64 (.f64 a a) 16) (.f64 -4 (pow.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 a a) 16 (pow.f64 a 4)) (.f64 -4 (pow.f64 a 3))) (fma.f64 -64 (pow.f64 a 3) (pow.f64 a 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 a (-.f64 -4 a)) (-.f64 (.f64 (.f64 a a) 16) (pow.f64 a 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (+.f64 a -4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (+.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (+.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (pow.f64 (exp.f64 a) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) a) (+.f64 1 (expm1.f64 (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a a))) (+.f64 1 (expm1.f64 (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a -4))) (pow.f64 (exp.f64 a) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 a) -4) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 a -4))) (+.f64 1 (expm1.f64 (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (+.f64 a -4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a a (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a -4 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a a) 1 (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 a (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a -4) 1 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 a -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 a -4)) (pow.f64 (cbrt.f64 (.f64 a -4)) 2) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 a -4)) 2) (cbrt.f64 (.f64 a -4)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 (pow.f64 a 4)) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (.f64 (cbrt.f64 a) -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 a 4)) (pow.f64 (cbrt.f64 a) 2) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (.f64 (sqrt.f64 a) -4) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 (.f64 a -4)) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (sqrt.f64 a)) (sqrt.f64 a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a -4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -4 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -4 (sqrt.f64 a)) (sqrt.f64 a) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (+.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 a (+.f64 a -4))) 1))))))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

857×	`fma-neg_binary64`
729×	`cancel-sign-sub-inv_binary64`
714×	`distribute-rgt-neg-in_binary64`
709×	`fma-def_binary64`
673×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	496
1	62	475
2	139	444
3	401	409
4	1114	403
5	3832	403
6	7662	403

Stop Event

1×	node limit

Counts

310 → 286

Calls

Call 1

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

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

eval254.0ms (3%)

Compiler: Compiled 10655 to 7298 computations (31.5% saved)

prune97.0ms (1.1%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	617	6	623
Fresh	1	1	2
Picked	0	1	1
Done	3	6	9
Total	621	14	635

Error

Counts

635 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.1b	(-.f64 (pow.f64 b 4) 1)
	23.8b	-1
	10.9b	(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
✓	49.8b	(pow.f64 a 4)
	13.5b	(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
	11.2b	(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
✓	1.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
✓	22.9b	(-.f64 (.f64 12 (.f64 b b)) 1)
	11.2b	(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
✓	10.4b	(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
	10.3b	(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
	22.9b	(-.f64 (.f64 b (.f64 12 b)) 1)
✓	22.9b	(-.f64 (.f64 (.f64 a a) 4) 1)
✓	22.9b	(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)

Compiler

Compiled 154 to 112 computations (27.3% saved)

regimes88.0ms (1%)

Counts

26 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.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 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))

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

Calls

8 calls:

15.0ms	b
14.0ms	a
10.0ms	(+.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 3 a)))))
9.0ms	(+.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 3 a)))))
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.0b	1	`a`
0.0b	1	`b`
0.0b	1	`(-.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 3 a))))) 1)`
0.0b	1	`(-.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 3 a))))) 1)`
0.0b	1	`(+.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 3 a)))))`
0.0b	1	`(+.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 3 a)))))`
0.0b	1	`(*.f64 b b)`
0.0b	1	`(*.f64 b b)`

Compiler

Compiled 474 to 282 computations (40.5% saved)

regimes75.0ms (0.9%)

Counts

25 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.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 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

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

Calls

7 calls:

13.0ms	a
13.0ms	b
10.0ms	(+.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 3 a)))))
10.0ms	(+.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 3 a)))))
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(-.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 3 a))))) 1)`
0.2b	1	`(-.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 3 a))))) 1)`
0.2b	1	`(+.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 3 a)))))`
0.2b	1	`(+.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 3 a)))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 446 to 266 computations (40.4% saved)

regimes58.0ms (0.7%)

Counts

24 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.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 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 3 a))))) 1)

Calls

5 calls:

13.0ms	b
12.0ms	a
11.0ms	(+.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 3 a)))))
7.0ms	(*.f64 b b)
5.0ms	(-.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 3 a))))) 1)

Results

Error	Segments	Branch
0.2b	1	`a`
0.2b	1	`b`
0.2b	1	`(-.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 3 a))))) 1)`
0.2b	1	`(+.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 3 a)))))`
0.2b	1	`(*.f64 b b)`

Compiler

Compiled 354 to 212 computations (40.1% saved)

regimes47.0ms (0.6%)

Counts

23 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)

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

Calls

3 calls:

17.0ms	a
12.0ms	b
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
0.8b	1	`a`
0.8b	1	`b`
0.8b	1	`(*.f64 b b)`

Compiler

Compiled 265 to 162 computations (38.9% saved)

regimes44.0ms (0.5%)

Counts

20 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)

Calls

4 calls:

12.0ms	a
11.0ms	b
8.0ms	(*.f64 b b)
6.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.0b	1	`a`
1.0b	1	`b`
1.0b	1	`(*.f64 b b)`
1.0b	1	`(*.f64 b b)`

Compiler

Compiled 203 to 127 computations (37.4% saved)

regimes97.0ms (1.2%)

Counts

19 → 2

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)

Outputs
(-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)

Calls

4 calls:

30.0ms	a
29.0ms	b
16.0ms	(*.f64 b b)
15.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.4b	3	`a`
0.9b	3	`b`
0.9b	2	`(*.f64 b b)`
0.9b	2	`(*.f64 b b)`

Compiler

Compiled 186 to 118 computations (36.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.386944349025275e-32	6.945056445889393e-30

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes83.0ms (1%)

Counts

18 → 2

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)
(-.f64 (.f64 a (.f64 a (fma.f64 a (+.f64 a -4) 4))) 1)

Outputs
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1)

Calls

4 calls:

28.0ms	b
27.0ms	a
12.0ms	(*.f64 b b)
10.0ms	(*.f64 b b)

Results

Error	Segments	Branch
1.4b	3	`a`
1.0b	3	`b`
1.0b	2	`(*.f64 b b)`
1.0b	2	`(*.f64 b b)`

Compiler

Compiled 171 to 108 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.386944349025275e-32	6.945056445889393e-30

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes72.0ms (0.9%)

Counts

16 → 3

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)
(-.f64 (pow.f64 b 4) 1)
(*.f64 (pow.f64 a 3) (+.f64 a -4))

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

Calls

4 calls:

24.0ms	b
24.0ms	a
9.0ms	(*.f64 b b)
9.0ms	(*.f64 b b)

Results

Error	Segments	Branch
2.1b	3	`a`
1.3b	3	`b`
1.3b	2	`(*.f64 b b)`
1.3b	2	`(*.f64 b b)`

Compiler

Compiled 148 to 92 computations (37.8% saved)

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	384.862728628727	870117.5459071579
32.0ms	-0.0008553300988632887	-2.47574270818082e-9

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes26.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (+.f64 (.f64 a -4) (.f64 a a)))) 1)
(pow.f64 a 4)

Outputs
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)

Calls

3 calls:

9.0ms	a
8.0ms	b
5.0ms	(*.f64 b b)

Results

Error	Segments	Branch
10.3b	1	`a`
10.3b	1	`b`
10.3b	1	`(*.f64 b b)`

Compiler

Compiled 131 to 80 computations (38.9% saved)

regimes21.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (-.f64 (+.f64 1 (.f64 12 (.f64 b b))) 1) 1)
(-.f64 (.f64 (.f64 a a) (+.f64 4 (*.f64 a a))) 1)

Outputs
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)

Calls

3 calls:

7.0ms	a
6.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
10.9b	1	`a`
10.9b	1	`b`
10.9b	1	`(*.f64 b b)`

Compiler

Compiled 87 to 53 computations (39.1% saved)

regimes17.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)

Outputs
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)

Calls

3 calls:

6.0ms	a
5.0ms	b
4.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.2b	1	`a`
11.2b	1	`b`
11.2b	1	`(*.f64 b b)`

Compiler

Compiled 54 to 33 computations (38.9% saved)

regimes15.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)

Outputs
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)

Calls

3 calls:

5.0ms	b
5.0ms	a
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
11.2b	1	`a`
11.2b	1	`b`
11.2b	1	`(*.f64 b b)`

Compiler

Compiled 45 to 29 computations (35.6% saved)

regimes17.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
-1
-1
(-.f64 (.f64 b (.f64 12 b)) 1)
(-.f64 (.f64 (.f64 a a) 4) 1)
(-.f64 (.f64 12 (.f64 b b)) 1)

Outputs
(-.f64 (.f64 b (.f64 12 b)) 1)

Calls

4 calls:

4.0ms	a
4.0ms	b
3.0ms	(*.f64 b b)
3.0ms	(*.f64 b b)

Results

Error	Segments	Branch
22.9b	1	`a`
22.9b	1	`b`
22.9b	1	`(*.f64 b b)`
22.9b	1	`(*.f64 b b)`

Compiler

Compiled 41 to 29 computations (29.3% saved)

regimes8.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
-1

Outputs
-1

Calls

2 calls:

4.0ms	b
3.0ms	a

Results

Error	Segments	Branch
23.8b	1	`a`
23.8b	1	`b`

Compiler

Compiled 10 to 8 computations (20% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative_binary64`
22×	`*-commutative_binary64`
16×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	388
1	139	388
2	158	388
3	162	388
4	164	388

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(-.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 3 a))))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(if (<=.f64 (.f64 b b) 73075081866545152/1461501637330902918203684832716283019655932542976) (-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 a a) -4) (+.f64 a -1))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 73075081866545152/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 b -15778055432271776/18446744073709551616) (-.f64 (pow.f64 b 4) 1) (if (<=.f64 b 6770576723598153/17592186044416) (-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (pow.f64 b 4) 1)))
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(-.f64 (.f64 b (.f64 12 b)) 1)
-1

Outputs
(+.f64 (pow.f64 (hypot.f64 a b) 4) (fma.f64 4 (fma.f64 a (-.f64 a (.f64 a a)) (.f64 b (*.f64 b (+.f64 a 3)))) -1))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (*.f64 b b) (+.f64 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (+.f64 a 3) (*.f64 b b))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 a (-.f64 1 a)))) 3) (.f64 (+.f64 a 3) (*.f64 b b))))))
(-.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 3 a))))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 (*.f64 a a) (-.f64 1 a))))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (+.f64 a 3) (.f64 b b)) (.f64 (*.f64 a a) (-.f64 1 a))))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 (*.f64 a a) -4) (+.f64 a -1))))
(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) 1)
(+.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))) -1)
(+.f64 -1 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 b (.f64 b 12))))
(if (<=.f64 (.f64 b b) 73075081866545152/1461501637330902918203684832716283019655932542976) (-.f64 (+.f64 (pow.f64 a 4) (.f64 (.f64 (.f64 a a) -4) (+.f64 a -1))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 35681192317649/713623846352979940529142984724747568191373312) (+.f64 (+.f64 (.f64 (.f64 (.f64 a a) -4) (+.f64 a -1)) (pow.f64 a 4)) -1) (+.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) -1))
(if (<=.f64 (.f64 b b) 35681192317649/713623846352979940529142984724747568191373312) (+.f64 -1 (+.f64 (.f64 (.f64 (.f64 a a) -4) (+.f64 a -1)) (pow.f64 a 4))) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12)))))
(if (<=.f64 (.f64 b b) 73075081866545152/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 a (.f64 a (+.f64 (.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) 1))
(if (<=.f64 (.f64 b b) 35681192317649/713623846352979940529142984724747568191373312) (+.f64 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4))))) -1) (+.f64 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12))) -1))
(if (<=.f64 (.f64 b b) 35681192317649/713623846352979940529142984724747568191373312) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (.f64 a (+.f64 a -4)))))) (+.f64 -1 (+.f64 (pow.f64 b 4) (.f64 b (.f64 b 12)))))
(if (<=.f64 b -15778055432271776/18446744073709551616) (-.f64 (pow.f64 b 4) 1) (if (<=.f64 b 6770576723598153/17592186044416) (-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1) (-.f64 (pow.f64 b 4) 1)))
(if (<=.f64 b -493064232258493/576460752303423488) (+.f64 (pow.f64 b 4) -1) (if (<=.f64 b 6770576723598153/17592186044416) (+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1) (+.f64 (pow.f64 b 4) -1)))
(if (<=.f64 b -493064232258493/576460752303423488) (+.f64 -1 (pow.f64 b 4)) (if (<=.f64 b 6770576723598153/17592186044416) (+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4)))))) (+.f64 -1 (pow.f64 b 4))))
(-.f64 (.f64 a (.f64 a (+.f64 (*.f64 a (+.f64 a -4)) 4))) 1)
(+.f64 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))) -1)
(+.f64 -1 (.f64 a (.f64 a (+.f64 4 (*.f64 a (+.f64 a -4))))))
(-.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))) -1)
(+.f64 -1 (.f64 a (.f64 a (*.f64 a (+.f64 a -4)))))
(-.f64 (.f64 a (.f64 a (*.f64 a a))) 1)
(+.f64 (.f64 a (.f64 a (*.f64 a a))) -1)
(+.f64 -1 (.f64 a (.f64 a (*.f64 a a))))
(-.f64 (.f64 (.f64 a a) (*.f64 a a)) 1)
(+.f64 (.f64 (.f64 a a) (*.f64 a a)) -1)
(+.f64 -1 (.f64 (.f64 a a) (*.f64 a a)))
(-.f64 (.f64 b (.f64 12 b)) 1)
(+.f64 (.f64 b (.f64 b 12)) -1)
(+.f64 -1 (.f64 b (.f64 b 12)))
-1

end159.0ms (1.9%)

Stop Event

1×

fuel

Compiler

Compiled 560 to 363 computations (35.2% saved)