Details

analyze0.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample1.1s (28.1%)

Results

1.1s	8243×	body	64	valid
3.0ms	13×	body	128	valid

preprocess17.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

116×	`fma-def_binary64`
43×	`distribute-rgt-in_binary64`
39×	`distribute-lft-in_binary64`
25×	`*-commutative_binary64`
17×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	88	70
2	184	70
3	289	70
4	343	70
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
1
3
1

Call 2

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b d) c))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 b (+.f64 (+.f64 a c) d))
(*.f64 b (+.f64 a (+.f64 c d)))
(*.f64 c (+.f64 (+.f64 b a) d))
(*.f64 c (+.f64 d (+.f64 a b)))
(*.f64 d (+.f64 (+.f64 b c) a))
(*.f64 d (+.f64 a (+.f64 b c)))
(*.f64 a (+.f64 (+.f64 c b) d))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b d) c))
(*.f64 a (+.f64 b (+.f64 c d)))

Symmetry

(sort b c d)

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`distribute-lft-in_binary64`
10×	`distribute-rgt-in_binary64`
7×	`*-commutative_binary64`
6×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	19	10
2	45	10
3	85	10
4	103	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(*.f64 a (+.f64 (+.f64 b c) d))

Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 b (+.f64 c d)))

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))

Compiler

Compiled 40 to 24 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))

series7.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms	a	@	-inf	(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms	a	@	0	(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms	a	@	inf	(*.f64 a (+.f64 b (+.f64 c d)))
1.0ms	c	@	inf	(*.f64 a (+.f64 b (+.f64 c d)))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log-prod_binary64`
436×	`pow-prod-down_binary64`
429×	`fma-def_binary64`
353×	`exp-prod_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	185	10
2	2889	10

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

Inputs
(*.f64 a (+.f64 b (+.f64 c d)))

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

Outputs

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

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	435
1	50	435
2	69	435
3	77	435

Stop Event

1×

saturated

Counts

112 → 76

Calls

Call 1

Inputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 a b)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))

Outputs
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 a (+.f64 c d)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a b)
(*.f64 b a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 c a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 a d)
(*.f64 d a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 (+.f64 c (+.f64 d b)) a)

prune101.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Error

Counts

77 → 5

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))
▶	0.1b	(fma.f64 (+.f64 b c) a (*.f64 d a))
	17.1b	(/.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a (+.f64 c d)) 3)) (+.f64 (pow.f64 (.f64 a b) 2) (-.f64 (pow.f64 (.f64 a (+.f64 c d)) 2) (.f64 (.f64 a b) (*.f64 a (+.f64 c d))))))
	0.5b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
	7.8b	(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 c d) 2)) a) (-.f64 b (+.f64 c d)))

Compiler

Compiled 1102 to 350 computations (68.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (+.f64 b c) a (*.f64 d a))

series8.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite48.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
846×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
826×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	168	10
2	2252	10

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(fma.f64 (+.f64 b c) a (*.f64 d a))

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

Outputs

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

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

393×	`fma-neg_binary64`
378×	`fma-def_binary64`
120×	`distribute-rgt-in_binary64`
97×	`distribute-lft-in_binary64`
93×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	514
1	79	435
2	203	435
3	491	435
4	1242	435
5	1766	435
6	2043	435
7	2048	435

Stop Event

1×

saturated

Counts

70 → 36

Calls

Call 1

Inputs
(+.f64 (.f64 c a) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (.f64 a d))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(*.f64 (+.f64 c (+.f64 d b)) a)
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))

Outputs
(+.f64 (.f64 c a) (.f64 a d))
(fma.f64 c a (*.f64 a d))
(*.f64 a (+.f64 c d))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a b)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (.f64 a d))
(*.f64 a (+.f64 d b))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 c a) (*.f64 a d)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 c a)
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a b) (+.f64 (.f64 a d) (*.f64 c a)))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 (+.f64 c (+.f64 d b)) a)
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(.f64 -1 (.f64 a (+.f64 (.f64 -1 (+.f64 c b)) (.f64 -1 d))))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a d)
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (fma.f64 c a (*.f64 a d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 c (+.f64 d b)))

prune160.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Error

Counts

41 → 5

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))
✓	0.1b	(fma.f64 (+.f64 b c) a (*.f64 d a))
▶	0.5b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
	7.1b	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
	7.8b	(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 c d) 2)) a) (-.f64 b (+.f64 c d)))

Compiler

Compiled 539 to 181 computations (66.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))
✓	0.1b	(sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)

series31.0ms (0.8%)

Counts

2 → 24

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
3.0ms	a	@	0	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
3.0ms	b	@	-inf	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
3.0ms	d	@	inf	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
2.0ms	b	@	inf	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)

rewrite73.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`log-prod_binary64`
484×	`pow-prod-down_binary64`
440×	`fma-def_binary64`
302×	`pow2_binary64`
222×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	251	22
2	3332	22

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d))))

Outputs

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

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

simplify137.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-def_binary64`
455×	`times-frac_binary64`
440×	`associate-/l*_binary64`
390×	`associate-/r*_binary64`
375×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	564
1	399	547
2	1256	543
3	5168	543

Stop Event

1×	node limit

Counts

128 → 140

Calls

Call 1

Inputs
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(+.f64 (.f64 a b) (+.f64 (.f64 (+.f64 c d) a) (.f64 (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c d))) (*.f64 1/4 (/.f64 a (+.f64 c d)))) (pow.f64 b 2))))
(+.f64 (.f64 a b) (+.f64 (.f64 (+.f64 c d) a) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 a (pow.f64 (+.f64 c d) 2))) (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 c d) 2)))) (pow.f64 b 3)) (.f64 (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c d))) (.f64 1/4 (/.f64 a (+.f64 c d)))) (pow.f64 b 2)))))
(*.f64 (+.f64 d b) a)
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(+.f64 (.f64 (+.f64 d b) a) (+.f64 (.f64 c a) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 a (+.f64 d b))) (*.f64 -1/4 (/.f64 a (+.f64 d b)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 d b) 2))) (.f64 1/8 (/.f64 a (pow.f64 (+.f64 d b) 2)))) (pow.f64 c 3)) (+.f64 (.f64 (+.f64 d b) a) (+.f64 (.f64 c a) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 a (+.f64 d b))) (.f64 -1/4 (/.f64 a (+.f64 d b))))))))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c b))) (.f64 1/4 (/.f64 a (+.f64 c b))))) (+.f64 (.f64 a (+.f64 c b)) (*.f64 a d)))
(+.f64 (.f64 (pow.f64 d 3) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 (+.f64 c b) 2))) (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 c b) 2))))) (+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c b))) (.f64 1/4 (/.f64 a (+.f64 c b))))) (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))))
(sqrt.f64 (*.f64 (+.f64 c d) a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (sqrt.f64 (*.f64 (+.f64 c d) a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))) (pow.f64 b 2))) (sqrt.f64 (*.f64 (+.f64 c d) a))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))) (pow.f64 b 2))) (+.f64 (sqrt.f64 (.f64 (+.f64 c d) a)) (.f64 1/16 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5))) (pow.f64 b 3))))))
(sqrt.f64 (*.f64 (+.f64 d b) a))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (sqrt.f64 (*.f64 (+.f64 d b) a)))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (+.f64 (sqrt.f64 (.f64 (+.f64 d b) a)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3)))))))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (+.f64 (sqrt.f64 (.f64 (+.f64 d b) a)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (.f64 1/16 (*.f64 (pow.f64 c 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5))))))))
(sqrt.f64 (*.f64 a (+.f64 c b)))
(+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))) (pow.f64 d 2))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))) (pow.f64 d 2))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5))) (pow.f64 d 3))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d)))))

Outputs
(*.f64 (+.f64 c d) a)
(+.f64 (.f64 a b) (.f64 (+.f64 c d) a))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 (+.f64 c d) a) (.f64 (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c d))) (*.f64 1/4 (/.f64 a (+.f64 c d)))) (pow.f64 b 2))))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 a b) (+.f64 (.f64 (+.f64 c d) a) (+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 a (pow.f64 (+.f64 c d) 2))) (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 c d) 2)))) (pow.f64 b 3)) (.f64 (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c d))) (.f64 1/4 (/.f64 a (+.f64 c d)))) (pow.f64 b 2)))))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 (+.f64 d b) a)
(*.f64 a (+.f64 d b))
(+.f64 (.f64 (+.f64 d b) a) (.f64 c a))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 d b) a) (+.f64 (.f64 c a) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 a (+.f64 d b))) (*.f64 -1/4 (/.f64 a (+.f64 d b)))))))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 d b) 2))) (.f64 1/8 (/.f64 a (pow.f64 (+.f64 d b) 2)))) (pow.f64 c 3)) (+.f64 (.f64 (+.f64 d b) a) (+.f64 (.f64 c a) (.f64 (pow.f64 c 2) (+.f64 (.f64 1/4 (/.f64 a (+.f64 d b))) (.f64 -1/4 (/.f64 a (+.f64 d b))))))))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(*.f64 a (+.f64 c b))
(+.f64 (.f64 a (+.f64 c b)) (.f64 a d))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c b))) (.f64 1/4 (/.f64 a (+.f64 c b))))) (+.f64 (.f64 a (+.f64 c b)) (*.f64 a d)))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(+.f64 (.f64 (pow.f64 d 3) (+.f64 (.f64 1/8 (/.f64 a (pow.f64 (+.f64 c b) 2))) (.f64 -1/8 (/.f64 a (pow.f64 (+.f64 c b) 2))))) (+.f64 (.f64 (pow.f64 d 2) (+.f64 (.f64 -1/4 (/.f64 a (+.f64 c b))) (.f64 1/4 (/.f64 a (+.f64 c b))))) (+.f64 (.f64 a (+.f64 c b)) (.f64 a d))))
(fma.f64 a b (*.f64 (+.f64 c d) a))
(*.f64 a (+.f64 (+.f64 c d) b))
(*.f64 a (+.f64 c (+.f64 d b)))
(*.f64 a (+.f64 d (+.f64 c b)))
(sqrt.f64 (*.f64 (+.f64 c d) a))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (sqrt.f64 (*.f64 (+.f64 c d) a)))
(fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 a (+.f64 c d)))) (sqrt.f64 (.f64 (+.f64 c d) a)))
(fma.f64 (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) b (sqrt.f64 (.f64 (+.f64 c d) a)))
(fma.f64 b (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) (sqrt.f64 (.f64 (+.f64 c d) a)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))) (pow.f64 b 2))) (sqrt.f64 (*.f64 (+.f64 c d) a))))
(fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 -1/8 (.f64 (.f64 b b) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (sqrt.f64 (.f64 (+.f64 c d) a))))
(fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 -1/8 (.f64 b (.f64 b (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))))) (sqrt.f64 (.f64 (+.f64 c d) a))))
(fma.f64 b (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 (.f64 b b) (.f64 -1/8 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (sqrt.f64 (.f64 (+.f64 c d) a))))
(fma.f64 (.f64 b b) (.f64 -1/8 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (fma.f64 b (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) (sqrt.f64 (.f64 (+.f64 c d) a))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 a (+.f64 c d))) b)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))) (pow.f64 b 2))) (+.f64 (sqrt.f64 (.f64 (+.f64 c d) a)) (.f64 1/16 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5))) (pow.f64 b 3))))))
(fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 a (+.f64 c d)))) (+.f64 (fma.f64 -1/8 (.f64 (.f64 b b) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (sqrt.f64 (.f64 (+.f64 c d) a))) (.f64 1/16 (.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5)))))))
(fma.f64 1/2 (.f64 b (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 -1/8 (.f64 b (.f64 b (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3))))) (fma.f64 1/16 (.f64 (pow.f64 b 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5)))) (sqrt.f64 (*.f64 (+.f64 c d) a)))))
(fma.f64 b (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 (.f64 b b) (.f64 -1/8 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (fma.f64 (pow.f64 b 3) (.f64 1/16 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5)))) (sqrt.f64 (*.f64 (+.f64 c d) a)))))
(fma.f64 (.f64 b b) (.f64 -1/8 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 3)))) (fma.f64 b (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c d)))) (fma.f64 (pow.f64 b 3) (.f64 1/16 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c d) 5)))) (sqrt.f64 (*.f64 (+.f64 c d) a)))))
(sqrt.f64 (*.f64 (+.f64 d b) a))
(sqrt.f64 (*.f64 a (+.f64 d b)))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (sqrt.f64 (*.f64 (+.f64 d b) a)))
(fma.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b)))) (sqrt.f64 (.f64 a (+.f64 d b))))
(fma.f64 (.f64 c 1/2) (sqrt.f64 (/.f64 a (+.f64 d b))) (sqrt.f64 (.f64 a (+.f64 d b))))
(fma.f64 (sqrt.f64 (/.f64 a (+.f64 d b))) (.f64 c 1/2) (sqrt.f64 (.f64 a (+.f64 d b))))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (+.f64 (sqrt.f64 (.f64 (+.f64 d b) a)) (.f64 -1/8 (*.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3)))))))
(+.f64 (fma.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b)))) (sqrt.f64 (.f64 a (+.f64 d b)))) (.f64 (.f64 -1/8 (*.f64 c c)) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3)))))
(fma.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b)))) (fma.f64 -1/8 (.f64 c (.f64 c (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (sqrt.f64 (.f64 a (+.f64 d b)))))
(fma.f64 c (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 d b)))) (fma.f64 -1/8 (.f64 c (.f64 c (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (sqrt.f64 (.f64 a (+.f64 d b)))))
(fma.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))) (.f64 c (.f64 c -1/8)) (fma.f64 (sqrt.f64 (/.f64 a (+.f64 d b))) (.f64 c 1/2) (sqrt.f64 (.f64 a (+.f64 d b)))))
(+.f64 (.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b))))) (+.f64 (sqrt.f64 (.f64 (+.f64 d b) a)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (.f64 1/16 (*.f64 (pow.f64 c 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5))))))))
(+.f64 (fma.f64 1/2 (.f64 c (sqrt.f64 (/.f64 a (+.f64 d b)))) (sqrt.f64 (.f64 a (+.f64 d b)))) (fma.f64 -1/8 (.f64 (.f64 c c) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3)))) (.f64 (.f64 1/16 (pow.f64 c 3)) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5))))))
(+.f64 (fma.f64 -1/8 (.f64 c (.f64 c (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5))) (.f64 (pow.f64 c 3) 1/16))) (fma.f64 (.f64 c 1/2) (sqrt.f64 (/.f64 a (+.f64 d b))) (sqrt.f64 (.f64 a (+.f64 d b)))))
(fma.f64 c (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 d b)))) (fma.f64 -1/8 (.f64 c (.f64 c (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (fma.f64 1/16 (.f64 (pow.f64 c 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5)))) (sqrt.f64 (*.f64 a (+.f64 d b))))))
(fma.f64 c (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 d b)))) (fma.f64 -1/8 (.f64 c (.f64 c (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 3))))) (fma.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 d b) 5))) (.f64 (pow.f64 c 3) 1/16) (sqrt.f64 (*.f64 a (+.f64 d b))))))
(sqrt.f64 (*.f64 a (+.f64 c b)))
(+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d)))
(+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 a (+.f64 c b))))))
(fma.f64 1/2 (.f64 d (sqrt.f64 (/.f64 a (+.f64 c b)))) (sqrt.f64 (.f64 a (+.f64 c b))))
(fma.f64 d (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c b)))) (sqrt.f64 (.f64 a (+.f64 c b))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))) (pow.f64 d 2))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d))))
(fma.f64 -1/8 (.f64 (.f64 d d) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3)))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (.f64 1/2 (*.f64 d (sqrt.f64 (/.f64 a (+.f64 c b)))))))
(fma.f64 -1/8 (.f64 d (.f64 d (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))))) (fma.f64 1/2 (.f64 d (sqrt.f64 (/.f64 a (+.f64 c b)))) (sqrt.f64 (.f64 a (+.f64 c b)))))
(fma.f64 d (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c b)))) (fma.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))) (.f64 d (.f64 d -1/8)) (sqrt.f64 (.f64 a (+.f64 c b)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))) (pow.f64 d 2))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5))) (pow.f64 d 3))) (.f64 1/2 (*.f64 (sqrt.f64 (/.f64 a (+.f64 c b))) d)))))
(fma.f64 -1/8 (.f64 (.f64 d d) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3)))) (+.f64 (sqrt.f64 (.f64 a (+.f64 c b))) (fma.f64 1/16 (.f64 (pow.f64 d 3) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5)))) (.f64 1/2 (.f64 d (sqrt.f64 (/.f64 a (+.f64 c b))))))))
(+.f64 (fma.f64 -1/8 (.f64 d (.f64 d (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))))) (fma.f64 1/2 (.f64 d (sqrt.f64 (/.f64 a (+.f64 c b)))) (sqrt.f64 (.f64 a (+.f64 c b))))) (.f64 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5))) (.f64 (pow.f64 d 3) 1/16)))
(fma.f64 -1/8 (.f64 (.f64 d d) (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3)))) (fma.f64 d (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c b)))) (fma.f64 (pow.f64 d 3) (.f64 1/16 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5)))) (sqrt.f64 (*.f64 a (+.f64 c b))))))
(fma.f64 -1/8 (.f64 d (.f64 d (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 3))))) (fma.f64 (pow.f64 d 3) (.f64 1/16 (sqrt.f64 (/.f64 a (pow.f64 (+.f64 c b) 5)))) (fma.f64 d (.f64 1/2 (sqrt.f64 (/.f64 a (+.f64 c b)))) (sqrt.f64 (*.f64 a (+.f64 c b))))))

prune810.0ms (19.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	216	0	216
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	216	5	221

Error

Counts

221 → 5

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))
✓	0.1b	(fma.f64 (+.f64 b c) a (*.f64 d a))
✓	0.5b	(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
▶	7.1b	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
	7.8b	(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 c d) 2)) a) (-.f64 b (+.f64 c d)))

Compiler

Compiled 3654 to 1244 computations (66% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (+.f64 b c) a) (.f64 a d))
✓	0.3b	(.f64 (.f64 (+.f64 b c) a) (*.f64 (+.f64 b c) a))
✓	0.4b	(pow.f64 (*.f64 a d) 2)
✓	7.3b	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))

series35.0ms (0.8%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	b	@	inf	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
3.0ms	b	@	inf	(.f64 (.f64 (+.f64 b c) a) (*.f64 (+.f64 b c) a))
2.0ms	b	@	0	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
2.0ms	c	@	0	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
2.0ms	a	@	0	(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))

rewrite104.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`log-prod_binary64`
490×	`fma-neg_binary64`
297×	`expm1-udef_binary64`
297×	`log1p-udef_binary64`
245×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	64
1	340	37
2	5216	37

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
(pow.f64 (*.f64 a d) 2)
(.f64 (.f64 (+.f64 b c) a) (*.f64 (+.f64 b c) a))
(-.f64 (.f64 (+.f64 b c) a) (.f64 a d))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 b c) a) (.f64 a d))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 a d) (.f64 (+.f64 b c) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (.f64 (+.f64 b c) a) 2) (.f64 a (-.f64 (+.f64 b c) d))) (neg.f64 (/.f64 (pow.f64 (.f64 a d) 2) (.f64 a (-.f64 (+.f64 b c) d)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 (+.f64 b c) d)))) (cbrt.f64 (exp.f64 (.f64 a (+.f64 (+.f64 b c) d)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 a (+.f64 (+.f64 b c) d))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 (+.f64 b c) d))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 a (+.f64 (+.f64 b c) d))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (.f64 (+.f64 b c) a) 2) (.f64 a (-.f64 (+.f64 b c) d))) (/.f64 (pow.f64 (.f64 a d) 2) (.f64 a (-.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (+.f64 (+.f64 b c) d)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 a (+.f64 (+.f64 b c) d))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 (+.f64 b c) a) 2) (pow.f64 (.f64 a d) 2)) (/.f64 1 (.f64 a (-.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a (+.f64 (+.f64 b c) d)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 a (+.f64 (+.f64 b c) d)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) (pow.f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))) 2) (cbrt.f64 (.f64 a (+.f64 (+.f64 b c) d))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 b c) a) 2) (pow.f64 (.f64 a d) 2))) 2) (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 b 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c))) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (sqrt.f64 (.f64 (.f64 a a) (+.f64 b c))) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (.f64 (sqrt.f64 (+.f64 b c)) a) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 b c)) (.f64 (sqrt.f64 (+.f64 b c)) a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 b c) a) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 b c) a)) 2)) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 b c) a) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 b c) a)) 2)) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (pow.f64 (+.f64 b c) 2))) (sqrt.f64 a) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 a (pow.f64 (+.f64 b c) 2))) (sqrt.f64 a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b c) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 b c) (sqrt.f64 a)) (sqrt.f64 a) (neg.f64 (-.f64 (.f64 a d) (fma.f64 (neg.f64 d) a (.f64 a d)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a (pow.f64 (cbrt.f64 (+.f64 b c)) 2)) (cbrt.f64 (+.f64 b c)) (.f64 d (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 a 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simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

932×	`associate-/l*_binary64`
454×	`distribute-rgt-in_binary64`
425×	`distribute-lft-in_binary64`
321×	`cancel-sign-sub-inv_binary64`
284×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	4283
1	751	3789
2	2861	3549

Stop Event

1×	node limit

Counts

381 → 295

Calls

Call 1

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

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

prune1.1s (26.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	294	1	295
Fresh	1	0	1
Picked	1	0	1
Done	2	1	3
Total	298	2	300

Error

Counts

300 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 a b (fma.f64 a d (.f64 (.f64 c a) 1)))
✓	0.0b	(*.f64 a (+.f64 b (+.f64 c d)))

Compiler

Compiled 10924 to 3233 computations (70.4% saved)

regimes49.0ms (1.2%)

Accuracy

Total -17.5b remaining (-448066.5%)

Threshold costs -17.5b (-448066.5%)

Counts

8 → 1

Calls

Call 1

Inputs
(fma.f64 a b (fma.f64 a d (.f64 (.f64 c a) 1)))
(/.f64 (-.f64 (.f64 (.f64 (+.f64 b c) a) (.f64 (+.f64 b c) a)) (pow.f64 (.f64 a d) 2)) (-.f64 (.f64 (+.f64 b c) a) (.f64 a d)))
(fma.f64 (+.f64 b c) a (*.f64 d a))
(/.f64 (+.f64 (pow.f64 (.f64 a b) 3) (pow.f64 (.f64 a (+.f64 c d)) 3)) (+.f64 (pow.f64 (.f64 a b) 2) (-.f64 (pow.f64 (.f64 a (+.f64 c d)) 2) (.f64 (.f64 a b) (*.f64 a (+.f64 c d))))))
(pow.f64 (sqrt.f64 (*.f64 a (+.f64 b (+.f64 c d)))) 2)
(/.f64 (.f64 (-.f64 (.f64 b b) (pow.f64 (+.f64 c d) 2)) a) (-.f64 b (+.f64 c d)))
(*.f64 a (+.f64 b (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))

Outputs
(fma.f64 a b (fma.f64 a d (.f64 (.f64 c a) 1)))

Results

5.0ms	0.0b	`a`
6.0ms	0.0b	`b`
5.0ms	0.0b	`c`
5.0ms	0.0b	`d`
7.0ms	0.0b	`(*.f64 a (+.f64 (+.f64 b c) d))`
5.0ms	0.0b	`(+.f64 (+.f64 b c) d)`
5.0ms	0.0b	`(+.f64 b c)`
6.0ms	0.0b	`(+.f64 b c)`

Compiler

Compiled 182 to 89 computations (51.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 a b (fma.f64 a d (.f64 (.f64 c a) 1)))

Outputs
(fma.f64 a b (fma.f64 a d (.f64 (.f64 c a) 1)))
(fma.f64 a b (fma.f64 a d (*.f64 a c)))

end32.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 52 to 28 computations (46.2% saved)

Details

analyze0.0ms (0%)

sample1.1s (28.1%)

preprocess17.0ms (0.4%)

simplify10.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite55.0ms (1.4%)

simplify15.0ms (0.4%)

prune101.0ms (2.5%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite48.0ms (1.2%)

simplify36.0ms (0.9%)

prune160.0ms (3.9%)

localize7.0ms (0.2%)

series31.0ms (0.8%)

rewrite73.0ms (1.8%)

simplify137.0ms (3.4%)

prune810.0ms (19.9%)

localize10.0ms (0.3%)

series35.0ms (0.8%)

rewrite104.0ms (2.6%)

simplify88.0ms (2.2%)

prune1.1s (26.4%)

regimes49.0ms (1.2%)

simplify2.0ms (0%)

end32.0ms (0.8%)

Profiling