Metrics for Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample880.0ms (18.6%)

Results

685.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 277.0ms

ival-mult: 147.0ms (53% of total)

ival-sub: 75.0ms (27% of total)

ival-add: 41.0ms (14.8% of total)

const: 11.0ms (4% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess182.0ms (3.8%)

Algorithm

2×	egg-herbie

Rules

2818×	`sum4-define`
2056×	`sum5-define`
1890×	`sum3-define`
1566×	`sum5-define`
1422×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	89
1	89	81
2	242	80
3	829	70
4	3892	69
5	7403	69
0	8	8
1	16	8
2	29	8
3	59	7
4	135	7
5	270	6
6	472	6
7	907	6
8	3137	6
9	3988	6
10	4439	6
11	4479	6
0	4479	6

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

Inputs
(+ (* x y) (* (- 1 x) z))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(+ (* x (neg y)) (* (- 1 x) z))
(+ (* x y) (* (- 1 x) (neg z)))
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(neg (+ (* x y) (* (- 1 x) (neg z))))
(+ (* y x) (* (- 1 y) z))
(+ (* z y) (* (- 1 z) x))
(+ (* x z) (* (- 1 x) y))

Outputs
(+ (* x y) (* (- 1 x) z))
(fmsub x y (fmsub x z z))
(+ (* (neg x) y) (* (- 1 (neg x)) z))
(fma x (- z y) z)
(+ (* x (neg y)) (* (- 1 x) z))
(fnmsub x y (fmsub x z z))
(+ (* x y) (* (- 1 x) (neg z)))
(fmsub x y (fnmadd x z z))
(neg (+ (* (neg x) y) (* (- 1 (neg x)) z)))
(fmsub x y (fma x z z))
(neg (+ (* x (neg y)) (* (- 1 x) z)))
(fmsub x y (fnmadd x z z))
(neg (+ (* x y) (* (- 1 x) (neg z))))
(fnmsub x y (fmsub x z z))
(+ (* y x) (* (- 1 y) z))
(fma x y (fnmadd y z z))
(+ (* z y) (* (- 1 z) x))
(fma y z (fnmadd x z x))
(+ (* x z) (* (- 1 x) y))
(fma x z (fnmadd x y y))

explain97.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
6	-	-	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`
0	-	-	`(*.f64 x y)`
0	-	-	`x`
0	-	-	`(*.f64 (-.f64 #s(literal 1 binary64) x) z)`
0	-	-	`z`
0	-	-	`(-.f64 #s(literal 1 binary64) x)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`y`

Results

67.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 9.0ms (44% of total)

ival-sub: 8.0ms (39.1% of total)

ival-add: 3.0ms (14.7% of total)

const: 1.0ms (4.9% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	97.6%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 z y)
✓	cost-diff	0	(*.f64 x (-.f64 z y))
✓	cost-diff	0	(-.f64 z (*.f64 x (-.f64 z y)))
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

876×	`sum5-define`
784×	`fnmadd-define`
676×	`fmsub-define`
674×	`sum4-define`
664×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	26	42
2	60	42
3	173	37
4	424	37
5	1118	37
6	2333	37
7	3230	37
8	3300	37
0	3300	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* x y) (* (- 1 x) z))
(-.f64 z (*.f64 x (-.f64 z y)))
(* x y)
(*.f64 x y)
x
y
(* (- 1 x) z)
(*.f64 (-.f64 #s(literal 1 binary64) x) z)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
z
(- z (* x (- z y)))
(-.f64 z (*.f64 x (-.f64 z y)))
z
(* x (- z y))
(*.f64 x (-.f64 z y))
x
(- z y)
(-.f64 z y)
y

localize58.0ms (1.2%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 z y)
✓	accuracy	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	accuracy	100.0%	(*.f64 x (-.f64 z y))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	98.0%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Results

44.0ms

256×

valid

Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 17.0ms (73.4% of total)

ival-sub: 4.0ms (17.3% of total)

ival-add: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series14.0ms (0.3%)

Counts

7 → 192

Calls

Call 1

Inputs
#<alt (+ (* x y) (* (- 1 x) z))>
#<alt (* x y)>
#<alt (* (- 1 x) z)>
#<alt (- 1 x)>
#<alt (- z (* x (- z y)))>
#<alt (* x (- z y))>
#<alt (- z y)>

Outputs
#<alt z>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (+ z (* x (+ y (* -1 z))))>
#<alt (* x (+ y (* -1 z)))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* x (+ y (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ z (* -1 y))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))>
#<alt (* z (- 1 x))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* y (+ x (/ (* z (- 1 x)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (+ (* x y) (* z (- 1 x)))>
#<alt (* z (- 1 x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- 1 x))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* x y)>
#<alt (- (* z (- 1 x)) (* -1 (* x y)))>
#<alt (- (* z (- 1 x)) (* -1 (* x y)))>
#<alt (- (* z (- 1 x)) (* -1 (* x y)))>
#<alt (* z (- 1 x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (- (+ 1 (/ (* x y) z)) x))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))>
#<alt z>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (+ z (* x (- y z)))>
#<alt (* x (- y z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* x (- (+ y (/ z x)) z))>
#<alt (* -1 (* x (- z y)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))>
#<alt (- z (* x z))>
#<alt (- (+ z (* x y)) (* x z))>
#<alt (- (+ z (* x y)) (* x z))>
#<alt (- (+ z (* x y)) (* x z))>
#<alt (* x y)>
#<alt (* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))>
#<alt (* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* x (- z y))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* z (+ x (* -1 (/ (* x y) z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 x) (/ (* x y) z))))>
#<alt (* x z)>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (+ (* -1 (* x y)) (* x z))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* y (+ (* -1 x) (/ (* x z) y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ (* x z) y)))))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(- z y)
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	x	@	-inf	(* x y)
1.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
0.0ms	x	@	0	(+ (* x y) (* (- 1 x) z))

rewrite349.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5282×	`-lowering-.f32`
5282×	`-lowering-.f64`
3124×	`/-lowering-/.f32`
3124×	`/-lowering-/.f64`
1942×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	73	34
2	650	33
0	8708	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 291

Calls

Call 1

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

Outputs
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 z (+.f64 (.f64 z (-.f64 #s(literal 0 binary64) x)) (.f64 x y)))
(+.f64 z (+.f64 (.f64 (-.f64 #s(literal 0 binary64) x) z) (.f64 x y)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(+.f64 (+.f64 (.f64 x y) z) (.f64 z (-.f64 #s(literal 0 binary64) x)))
(+.f64 (+.f64 (.f64 x y) z) (.f64 (-.f64 #s(literal 0 binary64) x) z))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))) (/.f64 (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y))))
(fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 y x (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))
(neg.f64 (/.f64 (+.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y))))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))) (+.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 z (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (*.f64 x y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 z z) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) (.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z)))) (+.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 z (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))))))
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(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (neg.f64 (+.f64 (.f64 z z) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 y z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (.f64 y (.f64 y y)))) (.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z)))))
(/.f64 (-.f64 (.f64 (.f64 z z) (+.f64 y z)) (.f64 (+.f64 y z) (.f64 y y))) (*.f64 (+.f64 y z) (+.f64 y z)))
(/.f64 (.f64 (-.f64 (.f64 z z) (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y z))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))))) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z)))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y y) (+.f64 (.f64 y y) (.f64 z z)))) (+.f64 y z)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 z z) (.f64 y y)) (+.f64 y z)))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (.f64 y y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (.f64 y (.f64 y y))) (.f64 z (.f64 z z))) (+.f64 (.f64 y y) (-.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) y) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))) (+.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))) (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z z) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 y z)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z))) (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))))))
(/.f64 (-.f64 (.f64 y y) (.f64 z z)) (-.f64 (-.f64 #s(literal 0 binary64) y) z))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))) (.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))))) (+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 z z) (+.f64 y z))) (.f64 (/.f64 (.f64 y y) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z)))) (+.f64 (/.f64 (.f64 z z) (+.f64 y z)) (/.f64 (.f64 y y) (+.f64 y z))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (.f64 y y)) (.f64 z (*.f64 z z))))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))) (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 y y) (+.f64 (.f64 y y) (*.f64 z z)))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y z))) (+.f64 (.f64 z z) (*.f64 y y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z)))))
(.f64 (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) z)))))
(.f64 (+.f64 (.f64 z z) (.f64 y (+.f64 y z))) (.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 z z) (.f64 y (+.f64 y z))))))
(.f64 (-.f64 (.f64 z z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(.f64 (+.f64 y z) (.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (+.f64 y z))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 z z)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (*.f64 y (+.f64 y z))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 z z) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y z))))

simplify214.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2192×	`-lowering-.f32`
2192×	`-lowering-.f64`
1824×	`fnmsub-define`
1188×	`/-lowering-/.f32`
1188×	`/-lowering-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	113	900
1	404	819
2	1219	819
3	3856	819
4	7868	819
0	8137	819

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
z
(+ z (* x (+ y (* -1 z))))
(+ z (* x (+ y (* -1 z))))
(+ z (* x (+ y (* -1 z))))
(* x (+ y (* -1 z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (+ y (+ (* -1 z) (/ z x))))
(* x (+ y (+ (* -1 z) (/ z x))))
(* -1 (* x (+ z (* -1 y))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(* z (- 1 x))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(* x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* y (+ x (/ (* z (- 1 x)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(* x y)
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(+ (* x y) (* z (- 1 x)))
(* z (- 1 x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- 1 x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* x y)
(- (* z (- 1 x)) (* -1 (* x y)))
(- (* z (- 1 x)) (* -1 (* x y)))
(- (* z (- 1 x)) (* -1 (* x y)))
(* z (- 1 x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(* z (+ 1 (* -1 x)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
z
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(+ z (* x (- y z)))
(* x (- y z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* x (- (+ y (/ z x)) z))
(* -1 (* x (- z y)))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(- z (* x z))
(- (+ z (* x y)) (* x z))
(- (+ z (* x y)) (* x z))
(- (+ z (* x y)) (* x z))
(* x y)
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(* x y)
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* x (- z y))
(* -1 (* x y))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* x z)
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* z (+ x (* -1 (/ (* x y) z))))
(* x z)
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(* x z)
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(+ (* -1 (* x y)) (* x z))
(* -1 (* x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* y (+ (* -1 x) (/ (* x z) y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))

Outputs
z
(+ z (* x (+ y (* -1 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ z (* x (+ y (* -1 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ z (* x (+ y (* -1 z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (+ y (* -1 z)))
(*.f64 x (-.f64 y z))
(* x (+ y (+ (* -1 z) (/ z x))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (+ y (+ (* -1 z) (/ z x))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (+ z (* -1 y))))
(*.f64 x (-.f64 y z))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (+ z (+ (* -1 y) (* -1 (/ z x))))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* z (- 1 x)) y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* y (+ x (/ (* z (- 1 x)) y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* y (+ x (/ (* z (- 1 x)) y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- 1 x)) y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ (* x y) (* z (- 1 x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* z (+ (* -1 (- 1 x)) (* -1 (/ (* x y) z)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
z
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* x y)
(*.f64 x y)
(- (* z (- 1 x)) (* -1 (* x y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(- (* z (- 1 x)) (* -1 (* x y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(- (* z (- 1 x)) (* -1 (* x y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (- (+ 1 (/ (* x y) z)) x))
(+.f64 z (*.f64 x (-.f64 y z)))
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* z (- (* -1 (/ (* x y) z)) (+ 1 (* -1 x)))))
(+.f64 z (*.f64 x (-.f64 y z)))
z
(+ z (* x (- y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ z (* x (- y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+ z (* x (- y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- (+ y (/ z x)) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (- (+ y (/ z x)) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (- (+ y (/ z x)) z))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (- z y)))
(*.f64 x (-.f64 y z))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* x (- (* -1 (/ z x)) (* -1 (- z y)))))
(+.f64 z (*.f64 x (-.f64 y z)))
(- z (* x z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(- (+ z (* x y)) (* x z))
(+.f64 z (*.f64 x (-.f64 y z)))
(- (+ z (* x y)) (* x z))
(+.f64 z (*.f64 x (-.f64 y z)))
(- (+ z (* x y)) (* x z))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* y (- (/ z y) (+ (* -1 x) (/ (* x z) y))))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x y)
(*.f64 x y)
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* -1 (* y (- (* -1 (/ (- z (* x z)) y)) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* x (- z y))
(*.f64 x (-.f64 z y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(* x z)
(*.f64 z x)
(* z (+ x (* -1 (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* z (+ x (* -1 (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* z (+ x (* -1 (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* -1 (* z (+ (* -1 x) (/ (* x y) z))))
(*.f64 x (-.f64 z y))
(* x z)
(*.f64 z x)
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(+ (* -1 (* x y)) (* x z))
(*.f64 x (-.f64 z y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* y (+ (* -1 x) (/ (* x z) y)))
(*.f64 x (-.f64 z y))
(* y (+ (* -1 x) (/ (* x z) y)))
(*.f64 x (-.f64 z y))
(* y (+ (* -1 x) (/ (* x z) y)))
(*.f64 x (-.f64 z y))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(*.f64 x (-.f64 z y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(*.f64 x (-.f64 z y))
(* -1 (* y (+ x (* -1 (/ (* x z) y)))))
(*.f64 x (-.f64 z y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
z
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)

eval73.0ms (1.5%)

Compiler: Compiled 11311 to 1051 computations (90.7% saved)

prune46.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	477	6	483
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	478	7	485

Accuracy

100.0%

Counts

485 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.8%	(-.f64 z (*.f64 z x))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	74.6%	(+.f64 (*.f64 x y) z)
▶	61.8%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	67.8%	(*.f64 x (-.f64 y z))
▶	43.3%	(*.f64 x y)
▶	33.8%	z

Compiler

Compiled 94 to 62 computations (34% saved)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 #s(literal 1 binary64) x)
✓	cost-diff	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	cost-diff	(-.f64 y z)
✓	cost-diff	(*.f64 x (-.f64 y z))
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.f64 (*.f64 x y) z)

Rules

1600×	`sum5-define`
1056×	`sum3-define`
742×	`fma-define`
710×	`fnmadd-define`
468×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	21	38
2	39	38
3	74	37
4	159	37
5	277	37
6	507	37
7	866	37
8	2843	37
9	3192	37
10	3399	37
11	3438	37
12	3444	37
0	3444	37

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (* x y) z)
(+.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z
z
(* x y)
(*.f64 x y)
x
y
(* x (- y z))
(*.f64 x (-.f64 y z))
x
(- y z)
(-.f64 y z)
y
z
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize52.0ms (1.1%)

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(-.f64 y z)
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) z)

Results

39.0ms

256×

valid

Compiler

Compiled 43 to 11 computations (74.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (54.8% of total)

ival-sub: 3.0ms (27.4% of total)

ival-add: 1.0ms (9.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

6 → 156

Calls

Call 1

Inputs
#<alt (+ (* x y) z)>
#<alt (* x y)>
#<alt (* x (- y z))>
#<alt (- y z)>
#<alt (* z (- 1 x))>
#<alt (- 1 x)>

Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* x (- y z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* y (+ x (* -1 (/ (* x z) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ (* x z) y))))>
#<alt (* x y)>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (+ (* -1 (* x z)) (* x y))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* z (+ (* -1 x) (/ (* x y) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x y) z)))))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* x (+ (* -1 z) (/ z x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ z x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>

Calls

39 calls:

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

rewrite351.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2592×	`-lowering-.f32`
2592×	`-lowering-.f64`
2110×	`fma-lowering-fma.f32`
2110×	`fma-lowering-fma.f64`
1900×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	56	23
2	432	23
3	4627	22
0	8123	22

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 273

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x y) z)
(+.f64 z (*.f64 x y))
(+.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x y) z)) (/.f64 (.f64 z z) (-.f64 (.f64 x y) z)))
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 x y))) (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 z (.f64 x y))))
(fma.f64 x y z)
(fma.f64 x (/.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 y x z)
(fma.f64 y (/.f64 (.f64 x (.f64 x y)) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 x (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(fma.f64 (.f64 x x) (/.f64 (.f64 y y) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 x (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (-.f64 (.f64 x y) z)) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z))) (+.f64 (.f64 x y) z) (neg.f64 (/.f64 (.f64 z z) (-.f64 (.f64 x y) z))))
(fma.f64 (/.f64 (.f64 x (.f64 x (.f64 y y))) (-.f64 (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x)))) (.f64 z (.f64 z z)))) (+.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z (+.f64 (.f64 x y) z))) (neg.f64 (/.f64 (.f64 z z) (-.f64 (*.f64 x y) z))))
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x)))) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z))))))
(neg.f64 (/.f64 (-.f64 (.f64 x (.f64 x (.f64 y y))) (.f64 z z)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x y) z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 y y) (.f64 y (.f64 x (.f64 x x)))) (.f64 z (.f64 z z)))) (+.f64 (.f64 z z) (.f64 (.f64 x y) (-.f64 (*.f64 x y) z)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (.f64 x (.f64 x (.f64 y y)))) (.f64 z z)) (-.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (.f64 x y)) (.f64 (+.f64 (.f64 x y) z) (-.f64 z (.f64 x y)))))
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(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (.f64 x (.f64 x x)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x x))) (.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x x)))) (+.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (.f64 (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64)))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1 binary64)) (.f64 x (+.f64 x #s(literal 1 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64)))))

simplify173.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2238×	`fnmsub-define`
1894×	`fma-lowering-fma.f32`
1894×	`fma-lowering-fma.f64`
1734×	`fnmadd-define`
1722×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	606
1	253	558
2	767	558
3	2138	558
4	6464	558
0	8117	558

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* x (- y z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* x y)
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* y (+ x (* -1 (/ (* x z) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(* x y)
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(+ (* -1 (* x z)) (* x y))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* z (+ (* -1 x) (/ (* x y) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* x (+ (* -1 z) (/ z x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
(* -1 (* x (+ z (* -1 (/ z x)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))

Outputs
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ z x)))
(+.f64 z (*.f64 x y))
(* x (+ y (/ z x)))
(+.f64 z (*.f64 x y))
(* x (+ y (/ z x)))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+.f64 z (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+.f64 z (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(+.f64 z (*.f64 x y))
z
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (/ z y)))
(+.f64 z (*.f64 x y))
(* y (+ x (/ z y)))
(+.f64 z (*.f64 x y))
(* y (+ x (/ z y)))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+.f64 z (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+.f64 z (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
(+ z (* x y))
(+.f64 z (*.f64 x y))
z
(* z (+ 1 (/ (* x y) z)))
(+.f64 z (*.f64 x y))
(* z (+ 1 (/ (* x y) z)))
(+.f64 z (*.f64 x y))
(* z (+ 1 (/ (* x y) z)))
(+.f64 z (*.f64 x y))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(+.f64 z (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(+.f64 z (*.f64 x y))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(+.f64 z (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* x (- y z))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* y (+ x (* -1 (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* -1 (* y (+ (* -1 x) (/ (* x z) y))))
(*.f64 x (-.f64 y z))
(* x y)
(*.f64 x y)
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(+ (* -1 (* x z)) (* x y))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* z (+ (* -1 x) (/ (* x y) z)))
(*.f64 x (-.f64 y z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 (* z (+ x (* -1 (/ (* x y) z)))))
(*.f64 x (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (+ (* -1 z) (/ z x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ z (* -1 (/ z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval49.0ms (1%)

Compiler: Compiled 8329 to 837 computations (90% saved)

prune49.0ms (1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	459	0	459
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	459	7	466

Accuracy

100.0%

Counts

466 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(-.f64 z (*.f64 z x))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	74.6%	(+.f64 (*.f64 x y) z)
✓	61.8%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	67.8%	(*.f64 x (-.f64 y z))
✓	43.3%	(*.f64 x y)
✓	33.8%	z

Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify27.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z x)
✓	cost-diff	0	(-.f64 z (*.f64 z x))

Rules

382×	`sum3-define`
352×	`sum5-define`
350×	`fnmadd-define`
254×	`fma-define`
222×	`fnmsub-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	10
1	10	10
2	22	9
3	44	9
4	73	9
5	169	9
6	528	9
7	691	9
8	992	9
9	1340	9
0	1340	9

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(- z (* z x))
z
(* z x)
x

Outputs
(- z (* z x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(* z x)
(*.f64 z x)
x

localize18.0ms (0.4%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z x)
✓	accuracy	100.0%	(-.f64 z (*.f64 z x))

Results

13.0ms

256×

valid

Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (50.3% of total)

ival-sub: 1.0ms (25.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (- z (* z x))>
#<alt (* z x)>

Outputs
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (- 1 x))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt (* z (+ 1 (* -1 x)))>
#<alt z>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (+ z (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (- (/ z x) z))>
#<alt (* x (- (/ z x) z))>
#<alt (* x (- (/ z x) z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ z x)) (* -1 z))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(- z (* z x))
0.0ms	z	@	0	(- z (* z x))
0.0ms	x	@	0	(- z (* z x))
0.0ms	z	@	-inf	(- z (* z x))
0.0ms	x	@	-inf	(- z (* z x))

rewrite291.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3094×	`-lowering-.f32`
3094×	`-lowering-.f64`
2648×	`/-lowering-/.f32`
2648×	`/-lowering-/.f64`
1436×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	23	8
2	182	7
3	1966	7
0	8876	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 173

Calls

Call 1

Inputs
(- z (* z x))
(* z x)

Outputs
(+.f64 z (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) z)
(+.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (/.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (+.f64 (.f64 z z) (.f64 z (.f64 x (*.f64 z (+.f64 x #s(literal 1 binary64)))))))))
(+.f64 (/.f64 (.f64 z z) (.f64 z (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (+.f64 x #s(literal 1 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 z (.f64 z x)))) #s(literal -1 binary64)))
(-.f64 z (*.f64 z x))
(-.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64))))))) (/.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (+.f64 (.f64 z z) (.f64 z (.f64 x (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 z z) (.f64 z (+.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 z (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 z z) (.f64 z (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (.f64 x (.f64 x (.f64 z z))) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 x (.f64 x (.f64 z z)))) (.f64 x (.f64 x (.f64 z z))))) (.f64 z (+.f64 x #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z x) z))
(-.f64 (+.f64 z #s(literal 0 binary64)) (*.f64 z x))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (.f64 z (-.f64 z (.f64 z (.f64 x x)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64)))))))) (/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 z z) (.f64 z (.f64 x (*.f64 z (+.f64 x #s(literal 1 binary64)))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z))))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z))))) (.f64 z (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z))) (.f64 z (+.f64 x #s(literal 1 binary64)))) (/.f64 (/.f64 (.f64 x (.f64 z (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z))) (.f64 z (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))))) (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (.f64 (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))))))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)))))) (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 x (.f64 x (.f64 z z))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)))))))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (.f64 (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z))))))) (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))))) (.f64 (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (*.f64 z z))))))))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)))) (/.f64 (.f64 x (.f64 z (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))))) (.f64 (.f64 z (+.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 z z)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))) (+.f64 (.f64 z z) (.f64 z (.f64 x (*.f64 z (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64))))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (+.f64 (.f64 z z) (.f64 z (.f64 x (.f64 z (+.f64 x #s(literal 1 binary64))))))))
(-.f64 (/.f64 (.f64 z (.f64 z z)) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (.f64 z z)))))) (/.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (*.f64 z z)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (.f64 z z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))))) (+.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))))) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (*.f64 z z)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (.f64 z z)))))) (/.f64 (/.f64 (.f64 (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z))))) (.f64 z (.f64 x (.f64 x (.f64 x (.f64 z z)))))) (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal 1 binary64)) (.f64 z (.f64 z z)))) (+.f64 (.f64 x (.f64 x (.f64 z z))) (-.f64 (.f64 z z) (neg.f64 (.f64 x (.f64 z z)))))))
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(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (.f64 (log.f64 (.f64 z x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 z (pow.f64 x #s(literal 1 binary64)))
(*.f64 z (exp.f64 (log.f64 x)))
(*.f64 x z)
(*.f64 (pow.f64 x #s(literal 1 binary64)) z)
(*.f64 (exp.f64 (log.f64 x)) z)

simplify130.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1928×	`fmm-def`
1712×	`fmsub-define`
1702×	`fnmsub-define`
1474×	`fnmadd-define`
1422×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	186
1	58	165
2	120	165
3	385	165
4	1385	165
5	2886	165
6	4141	165
7	6387	165
8	7896	165
0	8089	165

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (- 1 x))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
(* z (+ 1 (* -1 x)))
z
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(+ z (* -1 (* x z)))
(* -1 (* x z))
(* x (- (/ z x) z))
(* x (- (/ z x) z))
(* x (- (/ z x) z))
(* -1 (* x z))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)

Outputs
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (- 1 x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* z (+ 1 (* -1 x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
z
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+ z (* -1 (* x z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* x (- (/ z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (- (/ z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x (- (/ z x) z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 z x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* -1 (* x (- (* -1 (/ z x)) (* -1 z))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)
(* x z)
(*.f64 z x)

eval25.0ms (0.5%)

Compiler: Compiled 9527 to 574 computations (94% saved)

prune103.0ms (2.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	221	7	228

Accuracy

100.0%

Counts

228 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	61.8%	(-.f64 z (*.f64 z x))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	74.6%	(+.f64 (*.f64 x y) z)
✓	61.8%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	67.8%	(*.f64 x (-.f64 y z))
✓	43.3%	(*.f64 x y)
✓	33.8%	z

Compiler

Compiled 95 to 51 computations (46.3% saved)

regimes14.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

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

Calls

4 calls:

3.0ms	z
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
3.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes18.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x y) z)
(-.f64 z (*.f64 z x))

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

Calls

3 calls:

12.0ms	z
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
98.7%	3	`x`
91.5%	3	`y`
91.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))

Outputs
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 y z))

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
83.7%	3	`z`
85.5%	3	`y`
81.3%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
81.3%	3	`x`
67.8%	1	`z`
67.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 x y)

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

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
60.4%	3	`y`
56.2%	3	`z`
56.9%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
z

Outputs
z

Calls

3 calls:

4.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
33.8%	1	`z`
33.8%	1	`x`
33.8%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch58.0ms (1.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	9.858990255610162e-6	0.011678241239375138
13.0ms	-61215.72116186736	-0.018942694480873774

Results

47.0ms

272×

valid

Compiler

Compiled 324 to 217 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 35.0ms (90.7% of total)

ival-sub: 1.0ms (2.6% of total)

ival-add: 1.0ms (2.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.226437835071728e-47	2.7936504057675756e-40
5.0ms	-3.2922352033352316e+110	-2.690188196343101e+110

Results

13.0ms

192×

valid

Compiler

Compiled 234 to 169 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (42.8% of total)

ival-mult: 3.0ms (42.8% of total)

ival-add: 1.0ms (14.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.155248087671598e-38	2.0869008580796073e-36
17.0ms	-5.1973207825970735e-23	-1.9423774403796732e-44

Results

19.0ms

288×

valid

Compiler

Compiled 270 to 193 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (61.8% of total)

ival-sub: 2.0ms (24.7% of total)

ival-add: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.226437835071728e-47	2.7936504057675756e-40
15.0ms	-1.1104767873766692e-14	-2.3247411765535625e-31

Results

18.0ms

304×

valid

Compiler

Compiled 246 to 184 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (59% of total)

ival-sub: 2.0ms (23.6% of total)

ival-add: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify109.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

118×	`unsub-neg_binary64`
112×	`distribute-lft-neg-in_binary64`
82×	`neg-mul-1_binary64`
58×	`neg-sub0_binary64`
46×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	74
1	64	74
2	81	74
3	94	74
4	114	74
5	139	74
6	162	74
7	197	74
8	241	74
9	257	74
10	274	74
11	288	74
12	299	74
13	319	74
14	341	74
15	366	74
16	399	74
17	437	74
18	444	74
19	445	74

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 y #s(literal -270000000000000009701208972452391078719595270555283282111802201784706003528116180023761849162212227181703069696 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 y #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -804410501186929/93536104789177786765035829293842113257979682750464 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 y #s(literal -7910139745424151/10141204801825835211973625643008 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) z (.f64 x y)))
z

Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 (.f64 x y) z) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -1 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 3314649325744685/288230376151711744 binary64)) (+.f64 z (.f64 x y)) (*.f64 x (-.f64 y z))))
(if (<=.f64 y #s(literal -270000000000000009701208972452391078719595270555283282111802201784706003528116180023761849162212227181703069696 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 y #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -804410501186929/93536104789177786765035829293842113257979682750464 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 y #s(literal -7910139745424151/10141204801825835211973625643008 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 4536186800963031/24519928653854221733733552434404946937899825954937634816 binary64)) z (.f64 x y)))
z

soundness1.1s (22.4%)

Rules

2192×	`-lowering-.f32`
2192×	`-lowering-.f64`
2056×	`sum5-define`
1824×	`fnmsub-define`
1240×	`sum4-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	16	8
2	29	8
3	59	7
4	135	7
5	270	6
6	472	6
7	907	6
8	3137	6
9	3988	6
10	4439	6
11	4479	6
0	4479	6
0	113	900
1	404	819
2	1219	819
3	3856	819
4	7868	819
0	8137	819

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	saturated

Compiler

Compiled 159 to 78 computations (50.9% saved)

preprocess41.0ms (0.9%)

Compiler: Compiled 206 to 82 computations (60.2% saved)

Iter	Nodes	Cost
0	35	74
1	64	74
2	81	74
3	94	74
4	114	74
5	139	74
6	162	74
7	197	74
8	241	74
9	257	74
10	274	74
11	288	74
12	299	74
13	319	74
14	341	74
15	366	74
16	399	74
17	437	74
18	444	74
19	445	74

Iter	Nodes	Cost
0	35	74
1	64	74
2	81	74
3	94	74
4	114	74
5	139	74
6	162	74
7	197	74
8	241	74
9	257	74
10	274	74
11	288	74
12	299	74
13	319	74
14	341	74
15	366	74
16	399	74
17	437	74
18	444	74
19	445	74

analyze0.0ms (0%)

sample880.0ms (18.6%)

preprocess182.0ms (3.8%)

explain97.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify68.0ms (1.4%)

localize58.0ms (1.2%)

series14.0ms (0.3%)

rewrite349.0ms (7.4%)

simplify214.0ms (4.5%)

eval73.0ms (1.5%)

prune46.0ms (1%)

simplify69.0ms (1.5%)

localize52.0ms (1.1%)

series5.0ms (0.1%)

rewrite351.0ms (7.4%)

simplify173.0ms (3.7%)

eval49.0ms (1%)

prune49.0ms (1%)

simplify27.0ms (0.6%)

localize18.0ms (0.4%)

series2.0ms (0%)

rewrite291.0ms (6.2%)

simplify130.0ms (2.7%)

eval25.0ms (0.5%)

prune103.0ms (2.2%)

regimes14.0ms (0.3%)

regimes18.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.2%)

bsearch58.0ms (1.2%)

bsearch21.0ms (0.4%)

bsearch30.0ms (0.6%)

bsearch31.0ms (0.7%)

simplify109.0ms (2.3%)

soundness1.1s (22.4%)

preprocess41.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	35	74
1	64	74
2	81	74
3	94	74
4	114	74
5	139	74
6	162	74
7	197	74
8	241	74
9	257	74
10	274	74
11	288	74
12	299	74
13	319	74
14	341	74
15	366	74
16	399	74
17	437	74
18	444	74
19	445	74