Details

analyze252.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
18.7%	81.1%	0.1%	9
28.1%	71.8%	0.1%	10
32.8%	67.1%	0.1%	11
39.8%	60.1%	0.1%	12

Compiler

Compiled 19 to 10 computations (47.4% saved)

sample2.6s (57.3%)

Results

1.2s	6319×	body	256	valid
416.0ms	843×	body	1024	valid
368.0ms	1894×	body	256	invalid
198.0ms	499×	body	2048	valid
186.0ms	214×	body	512	invalid
152.0ms	594×	body	512	valid
49.0ms	160×	body	1024	invalid
0.0ms	1×	body	4096	valid

preprocess80.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

637×	`sub-neg_binary64`
517×	`fma-def_binary64`
351×	`unsub-neg_binary64`
299×	`distribute-rgt-neg-in_binary64`
291×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	76
1	96	44
2	332	40
3	1034	28
4	4595	28
5	7021	28
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(-.f64 (.f64 x y) (.f64 y z))
(*.f64 y (-.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(+.f64 (.f64 x (-.f64 y x)) (-.f64 (.f64 x x) (*.f64 x z)))
(-.f64 (fma.f64 x y 0) (*.f64 x z))
(-.f64 (.f64 x y) (.f64 x z))
(*.f64 x (-.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(+.f64 (.f64 y (-.f64 z y)) (-.f64 (.f64 y y) (*.f64 x y)))
(-.f64 (fma.f64 y z 0) (*.f64 x y))
(-.f64 (.f64 y z) (.f64 x y))
(*.f64 y (-.f64 z x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))
(-.f64 (+.f64 (.f64 z z) (.f64 z (-.f64 x z))) (*.f64 y z))
(-.f64 (fma.f64 x z 0) (*.f64 y z))
(-.f64 (.f64 x z) (.f64 y z))
(*.f64 z (-.f64 x y))

Compiler

Compiled 21 to 12 computations (42.9% saved)

simplify146.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1483×	`distribute-rgt-out--_binary64`
580×	`unsub-neg_binary64`
391×	`sub-neg_binary64`
370×	`distribute-rgt-neg-in_binary64`
326×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	29	11
2	97	10
3	278	7
4	902	7
5	3021	7
6	4762	7
7	5746	7
8	6411	7
9	6741	7
10	6916	7
11	6941	7
12	6941	7
13	6941	7

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Outputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(+.f64 (.f64 y (-.f64 x y)) (-.f64 (.f64 y y) (*.f64 y z)))
(-.f64 (fma.f64 x y 0) (*.f64 y z))
(fma.f64 x y (*.f64 y (neg.f64 z)))
(*.f64 y (-.f64 x z))

eval1.0ms (0%)

Compiler: Compiled 23 to 11 computations (52.2% 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	(*.f64 y (-.f64 x z))
▶	16.5b	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 5 computations (64.3% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

9 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

725×	`pow1_binary64`
672×	`add-log-exp_binary64`
672×	`log1p-expm1-u_binary64`
672×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1784	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

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

Outputs

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

217×	`fma-def_binary64`
132×	`fma-neg_binary64`
41×	`cancel-sign-sub-inv_binary64`
25×	`distribute-rgt-in_binary64`
25×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Stop Event

1×

saturated

Counts

43 → 25

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))

Outputs
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(fma.f64 y x (neg.f64 (*.f64 y z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x y) (.f64 y y))
✓	12.1b	(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))

Compiler

Compiled 48 to 9 computations (81.3% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`fma-def_binary64`
436×	`log-prod_binary64`
405×	`fma-neg_binary64`
327×	`pow-prod-down_binary64`
307×	`exp-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	170	12
2	2724	12

Stop Event

1×	node limit

Counts

2 → 328

Calls

Call 1

Inputs
(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))
(-.f64 (.f64 x y) (.f64 y y))

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

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

simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-neg_binary64`
639×	`fma-def_binary64`
427×	`distribute-rgt-neg-in_binary64`
356×	`neg-sub0_binary64`
351×	`neg-mul-1_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	19	306
2	38	252
3	87	252
4	237	252
5	761	252
6	1703	252
7	3629	252
8	5320	252
9	6263	246
10	7563	246

Stop Event

1×	node limit

Counts

376 → 333

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))

Outputs
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 y y)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 y y)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(*.f64 -1 (pow.f64 y 2))
(neg.f64 (*.f64 y y))
(*.f64 y (neg.f64 y))
(*.f64 y y)
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))
(+.f64 (.f64 -1 (pow.f64 y 2)) (.f64 y x))
(fma.f64 -1 (.f64 y y) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y y))
(*.f64 y (-.f64 x y))
(*.f64 y (+.f64 y x))

eval158.0ms (3.5%)

Compiler: Compiled 7677 to 1903 computations (75.2% saved)

prune58.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	354	4	358
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	355	5	360

Error

Counts

360 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.6b	(*.f64 y x)
▶	31.6b	(-.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0) (.f64 y z))
✓	0.0b	(*.f64 y (-.f64 x z))
▶	32.1b	(*.f64 y (neg.f64 z))
▶	0.0b	(-.f64 (.f64 y x) (.f64 y z))

Compiler

Compiled 46 to 29 computations (37% saved)

localize3.0ms (0.1%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize5.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite88.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

902×	`pow1_binary64`
836×	`add-log-exp_binary64`
836×	`log1p-expm1-u_binary64`
836×	`expm1-log1p-u_binary64`
819×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	162	7
2	2300	7

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`associate-l_binary64`
28×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	240
1	44	240
2	97	240
3	243	240
4	411	240
5	531	240
6	600	240
7	605	240

Stop Event

1×

saturated

Counts

89 → 59

Calls

Call 1

Inputs
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))

Outputs
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0) (.f64 y z))
✓	0.1b	(*.f64 y (sqrt.f64 x))
✓	0.1b	(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)

Compiler

Compiled 36 to 12 computations (66.7% saved)

series17.0ms (0.4%)

Counts

3 → 37

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)
2.0ms	y	@	-inf	(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)
2.0ms	x	@	-inf	(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)
2.0ms	x	@	0	(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)
1.0ms	x	@	-inf	(-.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0) (.f64 y z))

rewrite137.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`prod-diff_binary64`
505×	`log-prod_binary64`
346×	`pow-prod-down_binary64`
317×	`fma-def_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	208	20
2	2715	20

Stop Event

1×	node limit

Counts

3 → 278

Calls

Call 1

Inputs
(fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0)
(*.f64 y (sqrt.f64 x))
(-.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0) (.f64 y z))

Outputs

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

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

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

118×	`fma-def_binary64`
80×	`fma-neg_binary64`
34×	`unsub-neg_binary64`
28×	`distribute-rgt-in_binary64`
27×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	217
1	44	217
2	97	217
3	239	217
4	408	217
5	528	217
6	597	217
7	602	217

Stop Event

1×

saturated

Counts

315 → 284

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(.f64 -1 (.f64 y z))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))

Outputs
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y (-.f64 (.f64 -1 x) (.f64 -1 z))))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 y x))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 y z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 y x) (.f64 -1 (*.f64 y z)))
(*.f64 y (-.f64 x z))

eval75.0ms (1.6%)

Compiler: Compiled 7287 to 1399 computations (80.8% saved)

prune54.0ms (1.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	342	1	343
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	343	5	348

Error

Counts

348 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	32.1b	(*.f64 y (neg.f64 z))
▶	0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	27.6b	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

localize7.0ms (0.2%)

Compiler: Compiled 19 to 6 computations (68.4% saved)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune2.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 y (-.f64 x z))
✓	32.1b	(*.f64 y (neg.f64 z))
✓	0b	(fma.f64 y x (*.f64 z (neg.f64 y)))
✓	0.0b	(-.f64 (.f64 y x) (.f64 y z))
✓	27.6b	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

regimes27.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 x z))
(-.f64 (.f64 y x) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(fma.f64 y x (*.f64 z (neg.f64 y)))
(-.f64 (fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) 0) (.f64 y z))

Outputs
(fma.f64 y x (*.f64 z (neg.f64 y)))

Calls

4 calls:

7.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
7.0ms	y
5.0ms	x
5.0ms	z

Results

Error	Segments	Branch
0b	1	`x`
0b	1	`y`
0b	1	`z`
0b	1	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`

Compiler

Compiled 86 to 41 computations (52.3% saved)

regimes23.0ms (0.5%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 x z))
(-.f64 (.f64 y x) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

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

Calls

4 calls:

6.0ms	x
6.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
5.0ms	z
5.0ms	y

Results

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

Compiler

Compiled 67 to 33 computations (50.7% saved)

regimes14.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	z

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`z`

Compiler

Compiled 27 to 17 computations (37% saved)

regimes130.0ms (2.9%)

Accuracy

Total -44.7b remaining (-315.4%)

Threshold costs -44.7b (-315.4%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))

Outputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y x)

Calls

3 calls:

65.0ms	y
44.0ms	z
20.0ms	x

Results

Error	Segments	Branch
14.2b	3	`x`
23.1b	6	`y`
15.5b	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch145.0ms (3.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
96.0ms	2.920582863260117e-13	1.2019624315236963e-8
50.0ms	-1.254364691339144e-32	-7.154027785619621e-33

Compiler

Compiled 24 to 14 computations (41.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	57
1	40	57
2	48	57
3	52	57
4	53	57

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -4583140125505579/365375409332725729550921208179070754913983135744) (.f64 y x) (if (<=.f64 x 1446202585792175/4951760157141521099596496896) (.f64 y (neg.f64 z)) (*.f64 y x)))
(*.f64 y x)

Outputs
(fma.f64 y x (*.f64 z (neg.f64 y)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(-.f64 (.f64 y x) (.f64 y z))
(*.f64 y (-.f64 x z))
(if (<=.f64 x -4583140125505579/365375409332725729550921208179070754913983135744) (.f64 y x) (if (<=.f64 x 1446202585792175/4951760157141521099596496896) (.f64 y (neg.f64 z)) (*.f64 y x)))
(*.f64 y x)

Compiler

Compiled 55 to 33 computations (40% saved)

soundness0.0ms (0%)

end54.0ms (1.2%)

Compiler: Compiled 43 to 17 computations (60.5% saved)

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156

Details

analyze252.0ms (5.6%)

sample2.6s (57.3%)

preprocess80.0ms (1.8%)

simplify146.0ms (3.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series5.0ms (0.1%)

rewrite59.0ms (1.3%)

simplify35.0ms (0.8%)

localize15.0ms (0.3%)

series6.0ms (0.1%)

rewrite98.0ms (2.2%)

simplify102.0ms (2.2%)

eval158.0ms (3.5%)

prune58.0ms (1.3%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize6.0ms (0.1%)

series4.0ms (0.1%)

rewrite88.0ms (1.9%)

simplify53.0ms (1.2%)

localize12.0ms (0.3%)

series17.0ms (0.4%)

rewrite137.0ms (3%)

simplify56.0ms (1.2%)

eval75.0ms (1.6%)

prune54.0ms (1.2%)

localize7.0ms (0.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes27.0ms (0.6%)

regimes23.0ms (0.5%)

regimes14.0ms (0.3%)

regimes130.0ms (2.9%)

bsearch145.0ms (3.2%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end54.0ms (1.2%)

Profiling

Iter	Nodes	Cost
0	10	210
1	18	210
2	35	156
3	58	156
4	86	156
5	138	156
6	254	156
7	410	156
8	576	156
9	730	156
10	744	156