Metrics for Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

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)

sample915.0ms (41.3%)

Results

802.0ms	7218×	body	256	valid
101.0ms	1038×	body	256	infinite

Bogosity

preprocess267.0ms (12.1%)

Algorithm

1×	egg-herbie

Rules

2916×	`fma-def`
416×	`distribute-rgt-in`
308×	`sub-neg`
280×	`unsub-neg`
262×	`cancel-sign-sub`

Problems

256×

No Errors

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)
(+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z))
(neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 x) 2) (*.f64 y (neg.f64 x))) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 (neg.f64 y) x)) z))
(neg.f64 (+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) (neg.f64 z)))
(+.f64 (+.f64 (/.f64 y 2) (*.f64 x y)) z)
(+.f64 (+.f64 (/.f64 z 2) (*.f64 y z)) x)
(+.f64 (+.f64 (/.f64 x 2) (*.f64 z x)) y)

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

Compiler

Compiled 42 to 23 computations (45.2% saved)

eval1.0ms (0%)

Compiler: Compiled 33 to 19 computations (42.4% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))

Compiler

Compiled 20 to 14 computations (30% saved)

localize33.0ms (1.5%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 x (-.f64 -1/2 y))

Compiler

Compiled 23 to 14 computations (39.1% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (-.f64 -1/2 y))
1.0ms	y	@	inf	(*.f64 x (-.f64 -1/2 y))
1.0ms	x	@	inf	(*.f64 x (-.f64 -1/2 y))
0.0ms	y	@	0	(*.f64 x (-.f64 -1/2 y))
0.0ms	y	@	-inf	(*.f64 x (-.f64 -1/2 y))

rewrite179.0ms (8.1%)

Algorithm

1×	batch-egg-rewrite

Rules

654×	`unpow-prod-down`
482×	`log1p-expm1-u`
482×	`expm1-log1p-u`
470×	`log-prod`
468×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	101	19
2	1257	19

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(*.f64 x (-.f64 -1/2 y))

Outputs
(+.f64 0 (*.f64 x (-.f64 -1/2 y)))
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(-.f64 (+.f64 1 (*.f64 x (-.f64 -1/2 y))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 -1/2 y))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 -1/2 y))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 -1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 -1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (-.f64 -1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 -1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))

simplify81.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`log-prod`
1356×	`fma-neg`
768×	`associate-r`
650×	`associate-l`
500×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1420
1	229	1384
2	652	1212
3	3747	1212
4	7043	1212

Stop Event

1×	node limit

Counts

53 → 47

Calls

Call 1

Inputs
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(*.f64 -1/2 x)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(.f64 -1 (.f64 x y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(+.f64 0 (*.f64 x (-.f64 -1/2 y)))
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(-.f64 (+.f64 1 (*.f64 x (-.f64 -1/2 y))) 1)
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 -1/2 y))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 -1/2 y))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 -1/2 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 -1/2 y)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (-.f64 -1/2 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 -1/2 y)))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))

Outputs
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x (+.f64 1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(.f64 -1 (.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1 (.f64 x y)) (*.f64 -1/2 x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 0 (*.f64 x (-.f64 -1/2 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 x -1/2) (.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (.f64 -1/2 x) (.f64 (neg.f64 y) x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(-.f64 (+.f64 1 (*.f64 x (-.f64 -1/2 y))) 1)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(/.f64 (*.f64 x (-.f64 -1/8 (pow.f64 y 3))) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (-.f64 -1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(*.f64 x (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 x (-.f64 1/4 (pow.f64 y 2))) (+.f64 -1/2 y))
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 (+.f64 y -1/2) x))
(*.f64 (/.f64 x (+.f64 y -1/2)) (-.f64 1/4 (pow.f64 y 2)))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 y -1/2)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 y -1/2)))
(/.f64 (*.f64 (-.f64 -1/8 (pow.f64 y 3)) x) (fma.f64 y (+.f64 -1/2 y) 1/4))
(/.f64 (-.f64 -1/8 (pow.f64 y 3)) (/.f64 (fma.f64 y (+.f64 y -1/2) 1/4) x))
(*.f64 (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)) x)
(*.f64 x (/.f64 (-.f64 -1/8 (pow.f64 y 3)) (fma.f64 y (+.f64 y -1/2) 1/4)))
(/.f64 (*.f64 (-.f64 1/4 (pow.f64 y 2)) x) (+.f64 -1/2 y))
(/.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 (+.f64 y -1/2) x))
(*.f64 (/.f64 x (+.f64 y -1/2)) (-.f64 1/4 (pow.f64 y 2)))
(*.f64 x (/.f64 (-.f64 1/4 (pow.f64 y 2)) (+.f64 y -1/2)))
(*.f64 (-.f64 1/4 (pow.f64 y 2)) (/.f64 x (+.f64 y -1/2)))
(pow.f64 (*.f64 x (-.f64 -1/2 y)) 1)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 -1/2 y))) 3)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2) 1/2)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3) 1/3)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 -1/2 y))) 2)
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (E.f64) (log.f64 (*.f64 x (-.f64 -1/2 y))))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y))))) (sqrt.f64 (log.f64 (.f64 x (-.f64 -1/2 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 2))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(log.f64 (pow.f64 (exp.f64 (-.f64 -1/2 y)) x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 -1/2 y)) 3))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 -1/2 y))))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (log.f64 (*.f64 x (-.f64 -1/2 y))))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (-.f64 -1/2 y)))) 3))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (-.f64 -1/2 y)))) 1/3))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (-.f64 -1/2 y)))) 2))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 -1/2 y))))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(fma.f64 x -1/2 (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))
(fma.f64 -1/2 x (*.f64 (neg.f64 y) x))
(neg.f64 (*.f64 x (+.f64 1/2 y)))
(*.f64 x (-.f64 -1/2 y))

eval12.0ms (0.6%)

Compiler: Compiled 554 to 376 computations (32.1% saved)

prune9.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Accuracy

100.0%

Counts

48 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	71.8%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	67.8%	(-.f64 z (*.f64 x -1/2))
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
▶	71.8%	(-.f64 z (*.f64 x (neg.f64 y)))
▶	67.8%	(-.f64 z (*.f64 x -1/2))

Compiler

Compiled 54 to 38 computations (29.6% saved)

localize40.0ms (1.8%)

Compiler: Compiled 30 to 13 computations (56.7% saved)

eval0.0ms (0%)

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

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Accuracy

100.0%

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 z (*.f64 x (-.f64 -1/2 y)))
✓	71.8%	(-.f64 z (*.f64 x (neg.f64 y)))
✓	67.8%	(-.f64 z (*.f64 x -1/2))

Compiler

Compiled 57 to 37 computations (35.1% saved)

regimes19.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))

Calls

5 calls:

4.0ms	z
3.0ms	y
3.0ms	(+.f64 (/.f64 x 2) (*.f64 y x))
3.0ms	x
3.0ms	(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 (+.f64 (/.f64 x 2) (*.f64 y x)) z)`
100.0%	1	`(+.f64 (/.f64 x 2) (*.f64 y x))`

Compiler

Compiled 64 to 42 computations (34.4% saved)

regimes38.0ms (1.7%)

Counts

2 → 3

Calls

Call 1

Inputs
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))

Outputs
(-.f64 z (*.f64 x (neg.f64 y)))
(-.f64 z (*.f64 x -1/2))
(-.f64 z (*.f64 x (neg.f64 y)))

Calls

3 calls:

17.0ms	z
11.0ms	x
9.0ms	y

Results

Accuracy	Segments	Branch
79.0%	4	`x`
98.7%	3	`y`
78.2%	6	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes8.0ms (0.4%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 z (*.f64 x -1/2))

Outputs
(-.f64 z (*.f64 x -1/2))

Calls

3 calls:

3.0ms	y
3.0ms	x
3.0ms	z

Results

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

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch30.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0015990686336764114	0.008706397093523855
19.0ms	-31195179757.638313	-1.1824352152427229e-8

Results

27.0ms

256×

body

256

valid

Compiler

Compiled 322 to 237 computations (26.4% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

86×	`unsub-neg`
82×	`distribute-lft-neg-in`
60×	`neg-mul-1`
42×	`distribute-rgt-neg-in`
40×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	123
1	55	119
2	91	119
3	130	119
4	176	119
5	211	119
6	276	119
7	324	119
8	325	119

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs

(-.f64 z (*.f64 x (-.f64 -1/2 y)))

(if (<=.f64 y -1/2) (-.f64 z (*.f64 x (neg.f64 y))) (if (<=.f64 y 1224979098644775/144115188075855872) (-.f64 z (*.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))

(-.f64 z (*.f64 x -1/2))

Outputs
(-.f64 z (*.f64 x (-.f64 -1/2 y)))
(+.f64 z (*.f64 x (-.f64 y -1/2)))
(if (<=.f64 y -1/2) (-.f64 z (.f64 x (neg.f64 y))) (if (<=.f64 y 1224979098644775/144115188075855872) (-.f64 z (.f64 x -1/2)) (-.f64 z (*.f64 x (neg.f64 y)))))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 1224979098644775/144115188075855872))) (-.f64 z (.f64 x (neg.f64 y))) (-.f64 z (.f64 x -1/2)))
(if (or (<=.f64 y -1/2) (not (<=.f64 y 1224979098644775/144115188075855872))) (+.f64 z (.f64 x y)) (-.f64 z (.f64 x -1/2)))
(-.f64 z (*.f64 x -1/2))

Compiler

Compiled 40 to 28 computations (30% saved)

soundness530.0ms (23.9%)

Rules

2916×	`fma-def`
1366×	`log-prod`
1366×	`log-prod`
1356×	`fma-neg`
1356×	`fma-neg`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	40	435
1	99	375
2	274	371
3	804	323
4	1692	297
5	2827	297
6	3301	292
7	3465	292
8	3573	292
9	3608	292
10	3616	276
11	4174	276
12	4174	276
13	4174	276
0	99	1420
1	229	1384
2	652	1212
3	3747	1212
4	7043	1212
0	99	1420
1	229	1384
2	652	1212
3	3747	1212
4	7043	1212

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 184 to 98 computations (46.7% saved)

end0.0ms (0%)

preprocess33.0ms (1.5%)

Compiler: Compiled 92 to 60 computations (34.8% saved)

Iter	Nodes	Cost
0	27	123
1	55	119
2	91	119
3	130	119
4	176	119
5	211	119
6	276	119
7	324	119
8	325	119

Iter	Nodes	Cost
0	27	123
1	55	119
2	91	119
3	130	119
4	176	119
5	211	119
6	276	119
7	324	119
8	325	119

analyze0.0ms (0%)

sample915.0ms (41.3%)

preprocess267.0ms (12.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize33.0ms (1.5%)

series3.0ms (0.1%)

rewrite179.0ms (8.1%)

simplify81.0ms (3.6%)

eval12.0ms (0.6%)

prune9.0ms (0.4%)

localize40.0ms (1.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes19.0ms (0.8%)

regimes38.0ms (1.7%)

regimes8.0ms (0.4%)

bsearch30.0ms (1.4%)

simplify12.0ms (0.5%)

soundness530.0ms (23.9%)

end0.0ms (0%)

preprocess33.0ms (1.5%)

Profiling

Iter	Nodes	Cost
0	27	123
1	55	119
2	91	119
3	130	119
4	176	119
5	211	119
6	276	119
7	324	119
8	325	119