Details

analyze256.0ms (7.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	7
14.8%	12.5%	71.8%	0.1%	15.6%	0%	0%	8
22.6%	18.7%	64%	0.1%	17.2%	0%	0%	9
32.7%	25%	51.5%	0.1%	23.4%	0%	0%	10
41%	31.2%	44.9%	0.1%	23.8%	0%	0%	11
49.5%	37.1%	37.8%	0.1%	25%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (38.8%)

Results

1.2s	8256×	body	256	valid
134.0ms	1181×	body	256	infinite

Bogosity

preprocess62.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

750×	`fma-def_binary64`
325×	`fma-neg_binary64`
146×	`cancel-sign-sub-inv_binary64`
113×	`associate-r_binary64`
95×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	52
1	55	44
2	133	44
3	296	44
4	457	44
5	643	44
6	885	44
7	1135	44
8	1756	44
9	2164	44
10	2182	44
11	2182	44
0	3	3
1	3	3

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2
1

Call 2

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 y y) (.f64 (*.f64 x 4) z))
(-.f64 (.f64 z z) (.f64 (*.f64 y 4) x))
(-.f64 (.f64 x x) (.f64 (*.f64 z 4) y))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))
(fma.f64 x x (.f64 y (.f64 z -4)))
(fma.f64 x x (.f64 z (.f64 y -4)))
(-.f64 (.f64 y y) (.f64 (*.f64 x 4) z))
(-.f64 (.f64 y y) (.f64 x (*.f64 4 z)))
(fma.f64 y y (.f64 z (.f64 x -4)))
(fma.f64 x (.f64 z -4) (.f64 y y))
(fma.f64 y y (.f64 -4 (.f64 x z)))
(-.f64 (.f64 z z) (.f64 (*.f64 y 4) x))
(-.f64 (.f64 z z) (.f64 y (*.f64 x 4)))
(fma.f64 z z (.f64 y (.f64 x -4)))
(fma.f64 x (.f64 y -4) (.f64 z z))
(-.f64 (.f64 x x) (.f64 (*.f64 z 4) y))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))
(fma.f64 x x (.f64 y (.f64 z -4)))
(fma.f64 x x (.f64 z (.f64 y -4)))

Symmetry

(sort y z)

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify27.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

335×	`fma-def_binary64`
126×	`fma-neg_binary64`
61×	`cancel-sign-sub-inv_binary64`
40×	`distribute-rgt-neg-in_binary64`
28×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Outputs
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(-.f64 (.f64 x x) (.f64 y (*.f64 4 z)))
(fma.f64 x x (.f64 z (.f64 y -4)))
(fma.f64 x x (.f64 y (.f64 z -4)))
(fma.f64 -4 (.f64 y z) (.f64 x x))

eval1.0ms (0%)

Compiler: Compiled 20 to 11 computations (45% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(fma.f64 -4 (.f64 y z) (.f64 x x))
▶	0.3b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
✓	0.2b	(.f64 (.f64 y 4) z)

Compiler

Compiled 27 to 14 computations (48.1% saved)

series10.0ms (0.3%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(.f64 (.f64 y 4) z)
1.0ms	y	@	0	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
1.0ms	z	@	0	(.f64 (.f64 y 4) z)
1.0ms	y	@	0	(.f64 (.f64 y 4) z)
1.0ms	y	@	inf	(.f64 (.f64 y 4) z)

rewrite87.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`log-prod_binary64`
407×	`prod-exp_binary64`
365×	`exp-prod_binary64`
356×	`fma-def_binary64`
324×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	203	18
2	2661	18

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(.f64 (.f64 y 4) z)
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))

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

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(neg.f64 (*.f64 4 z)) y (*.f64 y (*.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (*.f64 4 z)) 2)) (/.f64 1 (fma.f64 y (*.f64 4 z) (*.f64 x x))) (fma.f64 (*.f64 z (*.f64 y -4)) 1 (*.f64 y (*.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (*.f64 4 z)) 2)) (/.f64 1 (fma.f64 y (*.f64 4 z) (*.f64 x x))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 4 z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 4 z))) 2) (*.f64 y (*.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (*.f64 4 z)) 2)) (/.f64 1 (fma.f64 y (*.f64 4 z) (*.f64 x x))) (*.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 x 4) (pow.f64 (*.f64 y (*.f64 4 z)) 2)) (/.f64 1 (fma.f64 y (*.f64 4 z) (*.f64 x x))) (+.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -4) z (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 z (*.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (*.f64 (*.f64 z (*.f64 y -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (fma.f64 z (*.f64 y -4) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y (*.f64 4 z)) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))) 2) (cbrt.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))) (fma.f64 z (*.f64 y -4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 z (*.f64 y -4))) 2) (cbrt.f64 (*.f64 z (*.f64 y -4))) (*.f64 x x))))) 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x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (-.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (fma.f64 (*.f64 z (*.f64 y -4)) 1 (*.f64 y (*.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (-.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 4 z)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 4 z))) 2) (*.f64 y (*.f64 4 z))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (-.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (*.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (-.f64 x (sqrt.f64 (*.f64 y (*.f64 4 z)))) (+.f64 (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 y) (*.f64 4 z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 4 z))) 2)) (cbrt.f64 (*.f64 y (*.f64 4 z))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 z (*.f64 y -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (*.f64 (*.f64 z (*.f64 y -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (fma.f64 z (*.f64 y -4) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y (*.f64 4 z)) (fma.f64 z (*.f64 y -4) (*.f64 y (*.f64 4 z))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -4) 1) z (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -4) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -4) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x x))))))

simplify216.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
609×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	570
1	25	516
2	51	516
3	70	516
4	99	516
5	194	516
6	627	516
7	1498	516
8	1682	516
9	1866	516
10	2074	516
11	2367	516
12	2760	516
13	3245	516
14	3811	516
15	4503	516
16	5336	516
17	5728	516
18	6018	516
19	6294	516
20	6366	516
21	6402	516
22	7343	516

Stop Event

1×	node limit

Counts

254 → 202

Calls

Call 1

Inputs
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 4 (.f64 y z))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))

Outputs
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 4 (.f64 y z))
(.f64 (.f64 4 y) z)
(.f64 z (.f64 4 y))
(.f64 y (.f64 4 z))
(.f64 -4 (.f64 y z))
(.f64 (.f64 -4 y) z)
(.f64 z (.f64 y -4))
(.f64 y (.f64 z -4))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 (.f64 -4 y) z)
(.f64 z (.f64 y -4))
(.f64 y (.f64 z -4))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 (.f64 -4 y) z)
(.f64 z (.f64 y -4))
(.f64 y (.f64 z -4))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 (.f64 -4 y) z)
(.f64 z (.f64 y -4))
(.f64 y (.f64 z -4))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 (.f64 -4 y) z)
(.f64 z (.f64 y -4))
(.f64 y (.f64 z -4))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 (.f64 -4 y) z) (*.f64 x x))
(fma.f64 (.f64 y z) -4 (.f64 x x))
(fma.f64 y (.f64 z -4) (.f64 x x))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 -4 (.f64 y z) (.f64 x x))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(fma.f64 -4 (.f64 y z) (.f64 x x))
1.0ms	y	@	0	(fma.f64 -4 (.f64 y z) (.f64 x x))
0.0ms	z	@	-inf	(fma.f64 -4 (.f64 y z) (.f64 x x))
0.0ms	x	@	0	(fma.f64 -4 (.f64 y z) (.f64 x x))
0.0ms	z	@	0	(fma.f64 -4 (.f64 y z) (.f64 x x))

rewrite54.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
656×	`add-log-exp_binary64`
656×	`log1p-expm1-u_binary64`
656×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	159	11
2	1821	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 -4 (.f64 y z) (.f64 x x))

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

Outputs

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

simplify188.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
610×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	402
1	20	348
2	39	348
3	56	348
4	85	348
5	183	348
6	604	348
7	1471	348
8	1655	348
9	1839	348
10	2047	348
11	2340	348
12	2733	348
13	3216	348
14	3782	348
15	4464	348
16	5305	348
17	5697	348
18	5989	348
19	6269	348
20	6341	348
21	6377	348
22	7318	348

Stop Event

1×	node limit

Counts

57 → 27

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(fma.f64 x x (.f64 z (.f64 -4 y)))
(fma.f64 x x (.f64 -4 (.f64 y z)))
(fma.f64 -4 (.f64 y z) (.f64 x x))

eval81.0ms (2.3%)

Compiler: Compiled 4445 to 2601 computations (41.5% saved)

prune34.0ms (1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	227	4	231

Error

Counts

231 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
▶	22.9b	(.f64 z (.f64 -4 y))
▶	37.0b	(*.f64 x x)
▶	0.3b	(fma.f64 x x (.f64 z (.f64 y -4)))

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 z (.f64 -4 y))

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 z (.f64 -4 y))
0.0ms	y	@	0	(.f64 z (.f64 -4 y))
0.0ms	y	@	inf	(.f64 z (.f64 -4 y))
0.0ms	z	@	inf	(.f64 z (.f64 -4 y))
0.0ms	y	@	-inf	(.f64 z (.f64 -4 y))

rewrite47.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
503×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1396	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 z (.f64 -4 y))

Outputs

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	10	168
2	17	168
3	19	168

Stop Event

1×

saturated

Counts

35 → 12

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))

Outputs
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
✓	0.0b	(.f64 4 (.f64 y z))

Compiler

Compiled 27 to 11 computations (59.3% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 4 (.f64 y z))
0.0ms	y	@	-inf	(.f64 4 (.f64 y z))
0.0ms	z	@	inf	(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
0.0ms	y	@	inf	(.f64 4 (.f64 y z))
0.0ms	x	@	inf	(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))

rewrite101.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`prod-diff_binary64`
494×	`log-prod_binary64`
353×	`fma-def_binary64`
306×	`pow-prod-down_binary64`
255×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	204	18
2	2664	18

Stop Event

1×	node limit

Counts

2 → 248

Calls

Call 1

Inputs
(.f64 4 (.f64 y z))
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 -4 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) (fma.f64 (*.f64 y z) -4 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (fma.f64 (*.f64 (*.f64 -4 y) z) 1 (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 y (*.f64 z 4)))) (pow.f64 (cbrt.f64 (*.f64 y (*.f64 z 4))) 2) (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (fma.f64 (neg.f64 z) (*.f64 4 y) (*.f64 y (*.f64 z 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (*.f64 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 x x)) (+.f64 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))) (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))) (fma.f64 (*.f64 y z) -4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -4 y) z) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (*.f64 y z) -4 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 1 (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (*.f64 x (sqrt.f64 x)) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (*.f64 (*.f64 z 4) y))) (fma.f64 (neg.f64 (*.f64 z 4)) y (*.f64 (*.f64 z 4) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 1 (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (*.f64 x x) (neg.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2)))) (fma.f64 (neg.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4)) (pow.f64 (cbrt.f64 (*.f64 y z)) 2) (*.f64 (*.f64 (cbrt.f64 (*.f64 y z)) 4) (pow.f64 (cbrt.f64 (*.f64 y z)) 2))))))) (#(struct:change 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x)) (sqrt.f64 x) (fma.f64 (*.f64 y z) -4 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (*.f64 y (*.f64 z 4)) (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 -4 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 (*.f64 (*.f64 -4 y) z) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 (*.f64 y z) -4 (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (neg.f64 (-.f64 (*.f64 y (*.f64 z 4)) (fma.f64 (*.f64 y z) -4 (*.f64 y (*.f64 z 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 y) z (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 z) y (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (pow.f64 (cbrt.f64 (*.f64 y z)) 2)) (cbrt.f64 (*.f64 y z)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)) (*.f64 x x))))))

simplify192.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
613×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	402
1	20	348
2	39	348
3	56	348
4	85	348
5	178	348
6	596	348
7	1464	348
8	1648	348
9	1832	348
10	2040	348
11	2333	348
12	2726	348
13	3211	348
14	3779	348
15	4471	348
16	5306	348
17	5698	348
18	5990	348
19	6268	348
20	6342	348
21	6378	348
22	7319	348

Stop Event

1×	node limit

Counts

284 → 254

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))

Outputs
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x x (.f64 z (.f64 y -4)))
✓	0.2b	(.f64 z (.f64 y -4))

Compiler

Compiled 23 to 13 computations (43.5% saved)

series5.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 x x (.f64 z (.f64 y -4)))
0.0ms	x	@	inf	(fma.f64 x x (.f64 z (.f64 y -4)))
0.0ms	x	@	0	(fma.f64 x x (.f64 z (.f64 y -4)))
0.0ms	y	@	0	(fma.f64 x x (.f64 z (.f64 y -4)))
0.0ms	z	@	0	(.f64 z (.f64 y -4))

rewrite61.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

746×	`pow1_binary64`
686×	`add-log-exp_binary64`
686×	`log1p-expm1-u_binary64`
686×	`expm1-log1p-u_binary64`
671×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	160	18
2	1856	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 z (.f64 y -4))
(fma.f64 x x (.f64 z (.f64 y -4)))

Outputs

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

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

simplify201.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

1366×	`sqr-pow_binary64`
695×	`pow-sqr_binary64`
617×	`cube-prod_binary64`
613×	`fabs-mul_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	570
1	20	516
2	39	516
3	56	516
4	85	516
5	178	516
6	596	516
7	1464	516
8	1648	516
9	1832	516
10	2040	516
11	2333	516
12	2726	516
13	3211	516
14	3779	516
15	4471	516
16	5306	516
17	5698	516
18	5990	516
19	6268	516
20	6342	516
21	6378	516
22	7319	516

Stop Event

1×	node limit

Counts

94 → 40

Calls

Call 1

Inputs
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(.f64 -4 (.f64 y z))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))

Outputs
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(.f64 -4 (.f64 y z))
(.f64 z (.f64 -4 y))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))
(+.f64 (pow.f64 x 2) (.f64 -4 (.f64 y z)))
(+.f64 (.f64 -4 (.f64 y z)) (*.f64 x x))
(fma.f64 -4 (.f64 y z) (.f64 x x))
(fma.f64 z (.f64 -4 y) (.f64 x x))

eval118.0ms (3.4%)

Compiler: Compiled 7139 to 3574 computations (49.9% saved)

prune88.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	306	0	306
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	306	4	310

Error

Counts

310 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
✓	22.9b	(.f64 z (.f64 -4 y))
✓	37.0b	(*.f64 x x)
✓	0.3b	(fma.f64 x x (.f64 z (.f64 y -4)))

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes92.0ms (2.7%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 z (.f64 -4 y))
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
(fma.f64 x x (.f64 z (.f64 y -4)))
(fma.f64 -4 (.f64 y z) (.f64 x x))

Outputs
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))

Calls

9 calls:

11.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))
11.0ms	(*.f64 y 4)
10.0ms	(.f64 (.f64 y 4) z)
10.0ms	y
10.0ms	(*.f64 y 4)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`
0.0b	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y 4) z))`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(.f64 (.f64 y 4) z)`
0.0b	1	`(*.f64 y 4)`
0.0b	1	`(*.f64 y 4)`

Compiler

Compiled 103 to 64 computations (37.9% saved)

regimes57.0ms (1.7%)

Accuracy

Total -47.8b remaining (-420.3%)

Threshold costs -47.8b (-420.3%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 x x)
(.f64 z (.f64 -4 y))

Outputs
(*.f64 x x)
(.f64 z (.f64 -4 y))
(*.f64 x x)

Calls

4 calls:

23.0ms	z
12.0ms	x
11.0ms	(*.f64 x x)
9.0ms	y

Results

Error	Segments	Branch
11.4b	3	`x`
18.6b	3	`y`
15.7b	7	`z`
11.8b	2	`(*.f64 x x)`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch40.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.607963984789733e-8	5.962689640315851e-7
18.0ms	-1.3938974253818427e+27	-2.5583119230002014e+21

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-neg-in_binary64`
4×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	44
1	28	44
2	38	44
3	48	44
4	55	44
5	60	44
6	62	44

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(-.f64 (*.f64 x x) (*.f64 4 (*.f64 y z)))

(if (<=.f64 x -1393897425381842680098586624) (*.f64 x x) (if (<=.f64 x 4859772945556833/302231454903657293676544) (*.f64 z (*.f64 -4 y)) (*.f64 x x)))

(*.f64 x x)

Outputs
(-.f64 (.f64 x x) (.f64 4 (*.f64 y z)))
(+.f64 (.f64 x x) (.f64 -4 (*.f64 y z)))
(+.f64 (.f64 x x) (.f64 (*.f64 y z) -4))
(if (<=.f64 x -1393897425381842680098586624) (.f64 x x) (if (<=.f64 x 4859772945556833/302231454903657293676544) (.f64 z (.f64 -4 y)) (.f64 x x)))
(if (<=.f64 x -1393897425381842680098586624) (.f64 x x) (if (<=.f64 x 4859772945556833/302231454903657293676544) (.f64 z (.f64 y -4)) (.f64 x x)))
(*.f64 x x)

Compiler

Compiled 40 to 25 computations (37.5% saved)

soundness0.0ms (0%)

end27.0ms (0.8%)

Remove: (sort y z)
Compiler: Compiled 58 to 33 computations (43.1% saved)

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11

Details

analyze256.0ms (7.4%)

sample1.3s (38.8%)

preprocess62.0ms (1.8%)

simplify27.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.3%)

series10.0ms (0.3%)

rewrite87.0ms (2.5%)

simplify216.0ms (6.2%)

localize8.0ms (0.2%)

series4.0ms (0.1%)

rewrite54.0ms (1.5%)

simplify188.0ms (5.4%)

eval81.0ms (2.3%)

prune34.0ms (1%)

localize3.0ms (0.1%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite47.0ms (1.4%)

simplify11.0ms (0.3%)

localize10.0ms (0.3%)

series4.0ms (0.1%)

rewrite101.0ms (2.9%)

simplify192.0ms (5.5%)

localize10.0ms (0.3%)

series5.0ms (0.1%)

rewrite61.0ms (1.8%)

simplify201.0ms (5.8%)

eval118.0ms (3.4%)

prune88.0ms (2.5%)

regimes92.0ms (2.7%)

regimes57.0ms (1.7%)

bsearch40.0ms (1.2%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

end27.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	9	13
1	19	11
2	50	11
3	107	11
4	164	11
5	236	11
6	343	11
7	442	11
8	588	11
9	836	11
10	936	11
11	948	11