Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 44 to 32 computations (27.3% saved)

sample1.4s (92%)

Results

1.4s

8256×

body

256

valid

Bogosity

preprocess10.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

200×	`fma-def`
114×	`distribute-lft-in`
56×	`+-commutative`
42×	`*-commutative`
40×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	175
1	70	175
2	139	175
3	212	175
4	286	175
0	4	4
1	4	4

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
0
2
0
3
0

Call 2

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

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))

Symmetry

(sort a b c d)

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify15.0ms (1%)

Algorithm

1×	egg-herbie

Rules

200×	`fma-def`
98×	`distribute-lft-in`
82×	`+-commutative`
50×	`associate-+r+`
48×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	19	25
2	53	25
3	142	25
4	252	25
5	319	25
6	321	25

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

93.9%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	93.9%	(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.3%	(+.f64 b (+.f64 c d))
✓	95.4%	(+.f64 a (+.f64 b (+.f64 c d)))

Compiler

Compiled 33 to 10 computations (69.7% saved)

series3.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

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

rewrite87.0ms (5.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`distribute-lft-in`
1352×	`associate-*l/`
1102×	`*-commutative`
352×	`associate-/r*`
328×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	211	32
2	3245	32

Stop Event

1×	node limit

Calls

Call 1

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

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

Outputs

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Details

analyze0.0ms (0%)

sample1.4s (92%)

preprocess10.0ms (0.6%)

simplify15.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.6%)

series3.0ms (0.2%)

rewrite87.0ms (5.6%)

end0.0ms (0%)

Profiling