Metrics for Data.Colour.CIE:lightness from colour-2.3.3

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample679.0ms (52.6%)

Results

656.0ms	8172×	body	256	valid
9.0ms	37×	body	1024	valid
2.0ms	29×	body	256	infinite
2.0ms	18×	body	512	valid

Bogosity

preprocess41.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

36×	`fma-def`
22×	`sub-neg`
10×	`fma-neg`
10×	`+-commutative`
8×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	27	40
2	40	36
3	56	36
4	68	36
5	84	36
6	103	36
7	114	36
8	118	36

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x 116) 16)
(-.f64 (*.f64 x 116) 16)
(-.f64 (*.f64 (neg.f64 x) 116) 16)

Outputs
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)
(-.f64 (*.f64 (neg.f64 x) 116) 16)
(fma.f64 (neg.f64 x) 116 -16)
(+.f64 (*.f64 x -116) -16)
(fma.f64 x -116 -16)

Compiler

Compiled 19 to 15 computations (21.1% saved)

eval0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x 116 -16)
▶	100.0%	(-.f64 (*.f64 x 116) 16)
▶	100.0%	(fma.f64 x 116 -16)
▶	100.0%	(-.f64 (*.f64 x 116) 16)

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize31.0ms (2.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x 116) 16)

Compiler

Compiled 20 to 15 computations (25% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (*.f64 x 116) 16)
0.0ms	x	@	0	(-.f64 (*.f64 x 116) 16)
0.0ms	x	@	-inf	(-.f64 (*.f64 x 116) 16)

rewrite107.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`unpow-prod-down`
377×	`log1p-expm1-u`
377×	`expm1-log1p-u`
368×	`cbrt-prod`
364×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	85	12
2	1013	12

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

Inputs
(-.f64 (*.f64 x 116) 16)

Outputs
(+.f64 (*.f64 x 116) -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(+.f64 -16 (*.f64 x 116))
(+.f64 0 (fma.f64 x 116 -16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (.f64 (.f64 x 116) -16))))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 (cbrt.f64 (.f64 x 116)) (pow.f64 (cbrt.f64 (.f64 x 116)) 2) -16)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 116)) 2) (cbrt.f64 (.f64 x 116)) -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 (sqrt.f64 (.f64 x 116)) (sqrt.f64 (.f64 x 116)) -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)

simplify54.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

940×	`associate-/l*`
880×	`times-frac`
580×	`distribute-lft-in`
548×	`distribute-rgt-in`
542×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	1835
1	369	1718
2	1037	1706
3	4298	1694

Stop Event

1×	node limit

Counts

75 → 83

Calls

Call 1

Inputs
-16
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(-.f64 (*.f64 116 x) 16)
(+.f64 (*.f64 x 116) -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(+.f64 -16 (*.f64 x 116))
(+.f64 0 (fma.f64 x 116 -16))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(*.f64 (fma.f64 x 116 -16) 1)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(*.f64 1 (fma.f64 x 116 -16))
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (.f64 (.f64 x 116) -16))))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 (cbrt.f64 (.f64 x 116)) (pow.f64 (cbrt.f64 (.f64 x 116)) 2) -16)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 116)) 2) (cbrt.f64 (.f64 x 116)) -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 (sqrt.f64 (.f64 x 116)) (sqrt.f64 (.f64 x 116)) -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)

Outputs
-16
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(*.f64 116 x)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(-.f64 (*.f64 116 x) 16)
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(+.f64 (*.f64 x 116) (log.f64 (exp.f64 -16)))
(fma.f64 116 x -16)
(+.f64 -16 (*.f64 x 116))
(fma.f64 116 x -16)
(+.f64 0 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 116 x -16)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x 116 -16)))))
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(*.f64 (fma.f64 x 116 -16) (log.f64 (E.f64)))
(fma.f64 116 x -16)
(*.f64 1 (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (cbrt.f64 (fma.f64 x 116 -16)) (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 2) (cbrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (sqrt.f64 (fma.f64 x 116 -16)) (sqrt.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(*.f64 (pow.f64 1 1/3) (fma.f64 x 116 -16))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(fma.f64 116 x -16)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3)) 1/3))
(fma.f64 116 x -16)
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 116 x -16) (cbrt.f64 (fma.f64 116 x -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x 116 -16) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 116 x -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))))
(fma.f64 116 x -16)
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 116 -16) (cbrt.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x 116 -16))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (fma.f64 116 x -16) (cbrt.f64 (fma.f64 116 x -16))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 4) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 116 x -16)) 8)) (cbrt.f64 (cbrt.f64 (fma.f64 116 x -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 116 -16))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 116 x -16) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 116 x -16))))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 1 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (-.f64 256 (.f64 (.f64 x 116) -16))))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 x 116 16))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096)) (neg.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 2) 13456 -256)) (neg.f64 (fma.f64 x 116 16)))
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 3) 1560896 -4096))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x 116 -16) 2) (fma.f64 (pow.f64 x 2) 13456 -256))) (cbrt.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 x 116 16)))
(/.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (pow.f64 (fma.f64 116 x -16) 2))) (cbrt.f64 (fma.f64 116 x 16)))
(pow.f64 (fma.f64 x 116 -16) 1)
(fma.f64 116 x -16)
(pow.f64 (cbrt.f64 (fma.f64 x 116 -16)) 3)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 2) 1/2)
(fma.f64 116 x -16)
(pow.f64 (pow.f64 (fma.f64 x 116 -16) 3) 1/3)
(fma.f64 116 x -16)
(pow.f64 (sqrt.f64 (fma.f64 x 116 -16)) 2)
(fma.f64 116 x -16)
(pow.f64 (E.f64) (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) (fma.f64 (pow.f64 x 3) 1560896 -4096)) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (/.f64 1 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))))
(/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)))
(pow.f64 (/.f64 (fma.f64 x 116 16) (fma.f64 (pow.f64 x 2) 13456 -256)) -1)
(*.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (/.f64 1 (fma.f64 x 116 16)))
(/.f64 (fma.f64 (pow.f64 x 2) 13456 -256) (fma.f64 116 x 16))
(/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 116 -16))) 2)) (cbrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 116 x -16))) 2)) (cbrt.f64 (log.f64 (fma.f64 116 x -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x 116 -16)))) (sqrt.f64 (log.f64 (fma.f64 x 116 -16))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 116 x -16)))) (sqrt.f64 (log.f64 (fma.f64 116 x -16))))
(sqrt.f64 (pow.f64 (fma.f64 x 116 -16) 2))
(fma.f64 116 x -16)
(log.f64 (exp.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(cbrt.f64 (pow.f64 (fma.f64 x 116 -16) 3))
(fma.f64 116 x -16)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) 3) (pow.f64 (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256)) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 3) 1560896 -4096) (fma.f64 (pow.f64 x 2) 13456 (fma.f64 x 1856 256))) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 x 116 16) 3)))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 (pow.f64 x 2) 13456 -256) 3) (pow.f64 (fma.f64 116 x 16) 3)))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x 2) -13456 256) (fma.f64 x -116 -16)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (log.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x 116 -16))) 3))
(fma.f64 116 x -16)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x 116 -16))) 1/3))
(fma.f64 116 x -16)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x 116 -16))) 2))
(fma.f64 116 x -16)
(log1p.f64 (expm1.f64 (fma.f64 x 116 -16)))
(fma.f64 116 x -16)
(fma.f64 x 116 -16)
(fma.f64 116 x -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 x 116) 1 -16)
(fma.f64 116 x -16)
(fma.f64 1 (*.f64 x 116) -16)
(fma.f64 116 x -16)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 116) -16)
(fma.f64 116 x -16)
(fma.f64 (cbrt.f64 (.f64 x 116)) (pow.f64 (cbrt.f64 (.f64 x 116)) 2) -16)
(fma.f64 116 x -16)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 116)) 2) (cbrt.f64 (.f64 x 116)) -16)
(fma.f64 116 x -16)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 116) -16)
(fma.f64 116 x -16)
(fma.f64 (sqrt.f64 (.f64 x 116)) (sqrt.f64 (.f64 x 116)) -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 116 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -16)
(fma.f64 116 x -16)
(fma.f64 (*.f64 116 (sqrt.f64 x)) (sqrt.f64 x) -16)
(fma.f64 116 x -16)

eval117.0ms (9%)

Compiler: Compiled 1000 to 842 computations (15.8% saved)

prune39.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	81	4	85

Accuracy

100.0%

Counts

85 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
▶	44.9%	(*.f64 116 x)
	56.2%	-16
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
▶	44.9%	(*.f64 116 x)
	56.2%	-16

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize15.0ms (1.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	44.9%	(*.f64 116 x)
	56.2%	-16
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	44.9%	(*.f64 116 x)
	56.2%	-16

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune40.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	44.9%	(*.f64 116 x)
	56.2%	-16
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	44.9%	(*.f64 116 x)
	56.2%	-16

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x 116 -16)
✓	100.0%	(-.f64 (*.f64 x 116) 16)
✓	44.9%	(*.f64 116 x)
	56.2%	-16

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes12.0ms (1%)

Counts

4 → 1

Calls

Call 1

Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)
(fma.f64 x 116 -16)

Outputs
(fma.f64 x 116 -16)

Calls

3 calls:

5.0ms	x
4.0ms	(*.f64 x 116)
3.0ms	(-.f64 (*.f64 x 116) 16)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x 116) 16)`
100.0%	1	`(*.f64 x 116)`

Compiler

Compiled 26 to 20 computations (23.1% saved)

regimes11.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

Inputs
-16
(*.f64 116 x)
(-.f64 (*.f64 x 116) 16)

Outputs
(-.f64 (*.f64 x 116) 16)

Calls

3 calls:

3.0ms	(*.f64 x 116)
3.0ms	x
3.0ms	(-.f64 (*.f64 x 116) 16)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (*.f64 x 116) 16)`
100.0%	1	`(*.f64 x 116)`

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes58.0ms (4.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-16
(*.f64 116 x)

Outputs
(*.f64 116 x)
-16
(*.f64 116 x)

Calls

1 calls:

58.0ms

Results

Accuracy	Segments	Branch
97.5%	3	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-16

Outputs
-16

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
56.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch27.0ms (2.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.184184415516111e-9	0.19715311640423058
14.0ms	-83661.16522063846	-1.0484195940002859e-8

Results

23.0ms

304×

body

256

valid

Compiler

Compiled 162 to 141 computations (13% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`+-commutative`
4×	`*-commutative`
2×	`neg-mul-1`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	71
1	32	71
2	37	71
3	39	71
4	40	71

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 116 x) (if (<=.f64 x 607985949695017/4503599627370496) -16 (.f64 116 x)))
-16

Outputs
(fma.f64 x 116 -16)
(-.f64 (*.f64 x 116) 16)
(if (<=.f64 x -1261007895663739/9007199254740992) (.f64 116 x) (if (<=.f64 x 607985949695017/4503599627370496) -16 (.f64 116 x)))
(if (or (<=.f64 x -1261007895663739/9007199254740992) (not (<=.f64 x 607985949695017/4503599627370496))) (*.f64 x 116) -16)
-16

Compiler

Compiled 27 to 22 computations (18.5% saved)

soundness9.0ms (0.7%)

Rules

36×	`fma-def`
22×	`sub-neg`
10×	`fma-neg`
10×	`+-commutative`
8×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	27	40
2	40	36
3	56	36
4	68	36
5	84	36
6	103	36
7	114	36
8	118	36

Stop Event

1×

saturated

Compiler

Compiled 15 to 12 computations (20% saved)

end0.0ms (0%)

preprocess35.0ms (2.7%)

Compiler: Compiled 60 to 48 computations (20% saved)

analyze0.0ms (0%)

sample679.0ms (52.6%)

preprocess41.0ms (3.2%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize31.0ms (2.4%)

series1.0ms (0.1%)

rewrite107.0ms (8.3%)

simplify54.0ms (4.2%)

eval117.0ms (9%)

prune39.0ms (3%)

localize15.0ms (1.1%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune40.0ms (3.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0.2%)

regimes12.0ms (1%)

regimes11.0ms (0.8%)

regimes58.0ms (4.5%)

regimes4.0ms (0.3%)

bsearch27.0ms (2.1%)

simplify4.0ms (0.3%)

soundness9.0ms (0.7%)

end0.0ms (0%)

preprocess35.0ms (2.7%)

Profiling