Metrics for Numeric.Integration.TanhSinh:simpson from integration-0.2.1

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 8 to 5 computations (37.5% saved)

sample667.0ms (32.2%)

Results

571.0ms	7190×	body	256	valid
84.0ms	1066×	body	256	infinite

Bogosity

preprocess53.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

290×	`fma-def`
80×	`distribute-lft-neg-in`
62×	`associate-r`
54×	`cancel-sign-sub-inv`
48×	`distribute-lft-in`

Problems

255×	No Errors
1×	`(*.f64 x (+.f64 y y))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	58	133
2	153	133
3	379	133
4	530	133
5	618	133

Stop Event

1×

saturated

Calls

Call 1

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

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

Symmetry

(negabs x)

(negabs y)

(sort x y)

Compiler

Compiled 20 to 9 computations (55% saved)

eval0.0ms (0%)

Compiler: Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 x (+.f64 y y))
▶	99.6%	(*.f64 x (+.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize21.0ms (1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 x (+.f64 y y))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

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

rewrite103.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`prod-diff`
646×	`unpow-prod-down`
418×	`log-prod`
407×	`log1p-expm1-u`
407×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	16
2	1386	7

Stop Event

1×	node limit

Counts

1 → 99

Calls

Call 1

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

Outputs
(+.f64 y y)
(+.f64 0 (/.f64 0 0))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 (.f64 (/.f64 0 0) (.f64 x y)) (.f64 (/.f64 0 0) (.f64 x y)))
(+.f64 (.f64 (/.f64 0 0) y) (.f64 (/.f64 0 0) y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x y) 1))
(+.f64 (.f64 (.f64 x y) (/.f64 0 0)) (.f64 (.f64 x y) (/.f64 0 0)))
(+.f64 (.f64 y (/.f64 0 0)) (.f64 y (/.f64 0 0)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 y 2) 0) (/.f64 (pow.f64 y 2) 0))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))))
(/.f64 (*.f64 2 (pow.f64 y 3)) (fma.f64 y y 0))
(/.f64 0 0)
(/.f64 (*.f64 (cbrt.f64 2) y) (cbrt.f64 (fma.f64 y y 0)))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 y 3)) 2) (pow.f64 (fma.f64 y y 0) 2))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) 0) (*.f64 (fma.f64 y y 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 y 3))) (*.f64 0 (fma.f64 y y 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 y 3))) (neg.f64 (fma.f64 y y 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x y) (.f64 x y)))
(/.f64 (.f64 x (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(/.f64 (*.f64 x 0) 0)
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) x) (fma.f64 y y 0))
(/.f64 (*.f64 0 x) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) (/.f64 0 0)) (fma.f64 y y 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 1/3)
(pow.f64 (/.f64 0 0) 4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) -1)
(pow.f64 (/.f64 0 0) 4/3)
(pow.f64 (/.f64 0 0) 6)
(pow.f64 (/.f64 0 0) 5)
(pow.f64 (/.f64 0 0) 7/2)
(pow.f64 (/.f64 0 0) 10/3)
(pow.f64 (/.f64 0 0) 5/2)
(pow.f64 (/.f64 0 0) 7/3)
(pow.f64 (/.f64 0 0) 5/6)
(pow.f64 (/.f64 0 0) 2/3)
(pow.f64 (/.f64 0 0) 9)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 1/6)
(pow.f64 (/.f64 0 0) 1/9)
(pow.f64 (/.f64 0 0) -3)
(pow.f64 (/.f64 0 0) -2)
(pow.f64 (/.f64 0 0) -1/2)
(pow.f64 (/.f64 0 0) -1/3)
(pow.f64 (E.f64) (log.f64 (/.f64 0 0)))
(pow.f64 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(sqrt.f64 (/.f64 0 0))
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(exp.f64 (log.f64 (/.f64 0 0)))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/3))
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (log.f64 (pow.f64 x 3))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x 3)) (log.f64 (/.f64 0 0))))
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (*.f64 2 (log.f64 (cbrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(fma.f64 y (/.f64 0 0) (*.f64 y (/.f64 0 0)))
(fma.f64 y 1 y)
(fma.f64 (/.f64 0 0) y (*.f64 (/.f64 0 0) y))
(fma.f64 (/.f64 0 0) (.f64 x y) (.f64 (/.f64 0 0) (*.f64 x y)))
(fma.f64 1 y y)
(fma.f64 1 (.f64 x y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (.f64 x y) (/.f64 0 0) (.f64 (*.f64 x y) (/.f64 0 0)))
(fma.f64 (.f64 x y) 1 (.f64 (*.f64 x y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

80×	`sqr-pow`
36×	`*-commutative`
36×	`fma-udef`
22×	`associate-/l*`
20×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	218	4294968659
1	622	4294968659

Stop Event

1×

unsound

Counts

123 → 131

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(.f64 2 (.f64 x y))
(+.f64 y y)
(+.f64 0 (/.f64 0 0))
(+.f64 (.f64 x y) (.f64 x y))
(+.f64 (.f64 (/.f64 0 0) (.f64 x y)) (.f64 (/.f64 0 0) (.f64 x y)))
(+.f64 (.f64 (/.f64 0 0) y) (.f64 (/.f64 0 0) y))
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x y) 1))
(+.f64 (.f64 (.f64 x y) (/.f64 0 0)) (.f64 (.f64 x y) (/.f64 0 0)))
(+.f64 (.f64 y (/.f64 0 0)) (.f64 y (/.f64 0 0)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 0 0)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))))
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
(-.f64 (/.f64 (pow.f64 y 2) 0) (/.f64 (pow.f64 y 2) 0))
(/.f64 1 (/.f64 0 0))
(/.f64 1 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))))
(/.f64 (*.f64 2 (pow.f64 y 3)) (fma.f64 y y 0))
(/.f64 0 0)
(/.f64 (*.f64 (cbrt.f64 2) y) (cbrt.f64 (fma.f64 y y 0)))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 y 3)) 2) (pow.f64 (fma.f64 y y 0) 2))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y 0)))
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) 0) (*.f64 (fma.f64 y y 0) 0))
(/.f64 (.f64 0 (.f64 2 (pow.f64 y 3))) (*.f64 0 (fma.f64 y y 0)))
(/.f64 (neg.f64 (*.f64 2 (pow.f64 y 3))) (neg.f64 (fma.f64 y y 0)))
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x y) (.f64 x y)))
(/.f64 (.f64 x (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(/.f64 (*.f64 x 0) 0)
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) x) (fma.f64 y y 0))
(/.f64 (*.f64 0 x) 0)
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) (/.f64 0 0)) (fma.f64 y y 0))
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
(pow.f64 (/.f64 0 0) 1)
(pow.f64 (/.f64 0 0) 3)
(pow.f64 (/.f64 0 0) 2)
(pow.f64 (/.f64 0 0) 1/2)
(pow.f64 (/.f64 0 0) 1/3)
(pow.f64 (/.f64 0 0) 4)
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 (/.f64 0 0) -1)
(pow.f64 (/.f64 0 0) 4/3)
(pow.f64 (/.f64 0 0) 6)
(pow.f64 (/.f64 0 0) 5)
(pow.f64 (/.f64 0 0) 7/2)
(pow.f64 (/.f64 0 0) 10/3)
(pow.f64 (/.f64 0 0) 5/2)
(pow.f64 (/.f64 0 0) 7/3)
(pow.f64 (/.f64 0 0) 5/6)
(pow.f64 (/.f64 0 0) 2/3)
(pow.f64 (/.f64 0 0) 9)
(pow.f64 (/.f64 0 0) 1/4)
(pow.f64 (/.f64 0 0) 1/6)
(pow.f64 (/.f64 0 0) 1/9)
(pow.f64 (/.f64 0 0) -3)
(pow.f64 (/.f64 0 0) -2)
(pow.f64 (/.f64 0 0) -1/2)
(pow.f64 (/.f64 0 0) -1/3)
(pow.f64 (E.f64) (log.f64 (/.f64 0 0)))
(pow.f64 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(sqrt.f64 (/.f64 0 0))
(fabs.f64 (/.f64 0 0))
(log.f64 (exp.f64 (/.f64 0 0)))
(cbrt.f64 (/.f64 0 0))
(expm1.f64 (log1p.f64 (/.f64 0 0)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(exp.f64 (log.f64 (/.f64 0 0)))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/3))
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (log.f64 (pow.f64 x 3))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x 3)) (log.f64 (/.f64 0 0))))
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (*.f64 2 (log.f64 (cbrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
(fma.f64 x y (*.f64 x y))
(fma.f64 y x (*.f64 x y))
(fma.f64 y (/.f64 0 0) (*.f64 y (/.f64 0 0)))
(fma.f64 y 1 y)
(fma.f64 (/.f64 0 0) y (*.f64 (/.f64 0 0) y))
(fma.f64 (/.f64 0 0) (.f64 x y) (.f64 (/.f64 0 0) (*.f64 x y)))
(fma.f64 1 y y)
(fma.f64 1 (.f64 x y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (.f64 x y) (/.f64 0 0) (.f64 (*.f64 x y) (/.f64 0 0)))
(fma.f64 (.f64 x y) 1 (.f64 (*.f64 x y) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))

Outputs
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(.f64 2 (.f64 x y))
(*.f64 y -2)
(+.f64 y y)
(*.f64 y -2)
(+.f64 0 (/.f64 0 0))
-2
(+.f64 (.f64 x y) (.f64 x y))
(*.f64 y -2)
(+.f64 (.f64 (/.f64 0 0) (.f64 x y)) (.f64 (/.f64 0 0) (.f64 x y)))
(*.f64 y -2)
(+.f64 (.f64 (/.f64 0 0) y) (.f64 (/.f64 0 0) y))
(*.f64 y -2)
(+.f64 (.f64 (.f64 x y) 1) (.f64 (.f64 x y) 1))
(*.f64 y -2)
(+.f64 (.f64 (.f64 x y) (/.f64 0 0)) (.f64 (.f64 x y) (/.f64 0 0)))
(*.f64 y -2)
(+.f64 (.f64 y (/.f64 0 0)) (.f64 y (/.f64 0 0)))
(*.f64 y -2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 0 0))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 0 0)))))
-2
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 0 0)))))
-2
(-.f64 (+.f64 1 (/.f64 0 0)) 1)
-2
(-.f64 (/.f64 (pow.f64 y 2) 0) (/.f64 (pow.f64 y 2) 0))
-2
(/.f64 1 (/.f64 0 0))
-2
(/.f64 1 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))))
-2
(/.f64 (*.f64 2 (pow.f64 y 3)) (fma.f64 y y 0))
-2
(/.f64 0 0)
-2
(/.f64 (*.f64 (cbrt.f64 2) y) (cbrt.f64 (fma.f64 y y 0)))
(/.f64 (*.f64 y -2) (cbrt.f64 (fma.f64 y y -2)))
(/.f64 (pow.f64 (*.f64 2 (pow.f64 y 3)) 2) (pow.f64 (fma.f64 y y 0) 2))
(/.f64 -2 (pow.f64 (fma.f64 y y -2) -2))
(/.f64 (sqrt.f64 (*.f64 2 (pow.f64 y 3))) (sqrt.f64 (fma.f64 y y 0)))
(/.f64 -2 (sqrt.f64 (fma.f64 y y -2)))
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) 0) (*.f64 (fma.f64 y y 0) 0))
-2
(/.f64 (.f64 0 (.f64 2 (pow.f64 y 3))) (*.f64 0 (fma.f64 y y 0)))
-2
(/.f64 (neg.f64 (*.f64 2 (pow.f64 y 3))) (neg.f64 (fma.f64 y y 0)))
-2
(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 x y) 3)) (+.f64 (pow.f64 (.f64 x y) 2) (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (*.f64 x y) 2))))
(/.f64 (.f64 -2 (pow.f64 (.f64 y -2) 3)) (+.f64 -2 (pow.f64 (*.f64 y -2) -2)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) 2) (pow.f64 (.f64 x y) 2)) (-.f64 (.f64 x y) (.f64 x y)))
-2
(/.f64 (.f64 x (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
-2
(/.f64 (*.f64 x 0) 0)
-2
(/.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 y 3))) (fma.f64 y y 0))
-2
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) x) (fma.f64 y y 0))
-2
(/.f64 (*.f64 0 x) 0)
-2
(/.f64 (.f64 (.f64 2 (pow.f64 y 3)) (/.f64 0 0)) (fma.f64 y y 0))
-2
(/.f64 (*.f64 0 (/.f64 0 0)) 0)
-2
(pow.f64 (/.f64 0 0) 1)
-2
(pow.f64 (/.f64 0 0) 3)
-2
(pow.f64 (/.f64 0 0) 2)
-2
(pow.f64 (/.f64 0 0) 1/2)
-2
(pow.f64 (/.f64 0 0) 1/3)
-2
(pow.f64 (/.f64 0 0) 4)
-2
(pow.f64 (/.f64 0 0) 3/2)
(pow.f64 -2 3/2)
(pow.f64 (/.f64 0 0) -1)
-2
(pow.f64 (/.f64 0 0) 4/3)
-2
(pow.f64 (/.f64 0 0) 6)
-2
(pow.f64 (/.f64 0 0) 5)
-2
(pow.f64 (/.f64 0 0) 7/2)
(pow.f64 -2 7/2)
(pow.f64 (/.f64 0 0) 10/3)
(pow.f64 -2 10/3)
(pow.f64 (/.f64 0 0) 5/2)
(pow.f64 -2 5/2)
(pow.f64 (/.f64 0 0) 7/3)
(*.f64 (pow.f64 -2 7/6) (pow.f64 -2 7/6))
(pow.f64 (/.f64 0 0) 5/6)
(pow.f64 -2 5/6)
(pow.f64 (/.f64 0 0) 2/3)
-2
(pow.f64 (/.f64 0 0) 9)
-2
(pow.f64 (/.f64 0 0) 1/4)
-2
(pow.f64 (/.f64 0 0) 1/6)
(pow.f64 -2 1/6)
(pow.f64 (/.f64 0 0) 1/9)
(*.f64 (pow.f64 -2 1/18) (pow.f64 -2 1/18))
(pow.f64 (/.f64 0 0) -3)
-2
(pow.f64 (/.f64 0 0) -2)
-2
(pow.f64 (/.f64 0 0) -1/2)
-2
(pow.f64 (/.f64 0 0) -1/3)
(*.f64 (pow.f64 -2 -1/6) (pow.f64 -2 -1/6))
(pow.f64 (E.f64) (log.f64 (/.f64 0 0)))
-2
(pow.f64 (/.f64 (fma.f64 y y 0) (*.f64 2 (pow.f64 y 3))) -1)
-2
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2)) (cbrt.f64 (log.f64 (/.f64 0 0))))
-2
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) (sqrt.f64 (log.f64 (/.f64 0 0))))
-2
(sqrt.f64 (/.f64 0 0))
-2
(fabs.f64 (/.f64 0 0))
-2
(log.f64 (exp.f64 (/.f64 0 0)))
-2
(cbrt.f64 (/.f64 0 0))
-2
(expm1.f64 (log1p.f64 (/.f64 0 0)))
-2
(hypot.f64 (sqrt.f64 y) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)))
(hypot.f64 (sqrt.f64 (.f64 y -2)) (sqrt.f64 (.f64 y -2)))
(exp.f64 (log.f64 (/.f64 0 0)))
-2
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 3))
-2
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 2))
-2
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/2))
-2
(exp.f64 (*.f64 (log.f64 (/.f64 0 0)) 1/3))
-2
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (log.f64 (pow.f64 x 3))))
(.f64 -2 (exp.f64 (.f64 3 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (pow.f64 x 3)) (log.f64 (/.f64 0 0))))
(.f64 -2 (exp.f64 (.f64 3 (log.f64 x))))
(exp.f64 (+.f64 (log.f64 (/.f64 0 0)) (*.f64 2 (log.f64 (cbrt.f64 x)))))
(exp.f64 (+.f64 -2 (*.f64 -2 (log.f64 (cbrt.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 0 0)))
-2
(fma.f64 x y (*.f64 x y))
(*.f64 y -2)
(fma.f64 y x (*.f64 x y))
(*.f64 y -2)
(fma.f64 y (/.f64 0 0) (*.f64 y (/.f64 0 0)))
(*.f64 y -2)
(fma.f64 y 1 y)
(fma.f64 y -2 y)
(fma.f64 (/.f64 0 0) y (*.f64 (/.f64 0 0) y))
(*.f64 y -2)
(fma.f64 (/.f64 0 0) (.f64 x y) (.f64 (/.f64 0 0) (*.f64 x y)))
(*.f64 y -2)
(fma.f64 1 y y)
(fma.f64 y -2 y)
(fma.f64 1 (.f64 x y) (.f64 x y))
(*.f64 y -2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (.f64 y (cbrt.f64 x)) (.f64 y -2))
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2) y)
(fma.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) -2) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (cbrt.f64 y) y)
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (.f64 x (cbrt.f64 y)) (.f64 y -2))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 y (sqrt.f64 x)) (.f64 y -2))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) y)
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 x (sqrt.f64 y)) (.f64 y -2))
(fma.f64 (.f64 x y) (/.f64 0 0) (.f64 (*.f64 x y) (/.f64 0 0)))
(*.f64 y -2)
(fma.f64 (.f64 x y) 1 (.f64 (*.f64 x y) 1))
(*.f64 y -2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 2) (cbrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y -2)) -2) (cbrt.f64 (.f64 y -2)) (*.f64 y -2))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 y -2)) (sqrt.f64 (.f64 y -2)) (*.f64 y -2))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) -2)) (cbrt.f64 x) (.f64 y -2))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y -2))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) -2)) (cbrt.f64 y) (.f64 y -2))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y -2))

eval24.0ms (1.2%)

Compiler: Compiled 1090 to 747 computations (31.5% saved)

prune26.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	128	3	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	128	4	132

Accuracy

100.0%

Counts

132 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
▶	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2
▶	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
▶	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize27.0ms (1.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 2 (.f64 x y))

Compiler

Compiled 18 to 8 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite48.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`unpow-prod-down`
474×	`log-prod`
464×	`cbrt-prod`
363×	`log1p-expm1-u`
363×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	88	19
2	999	19

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))

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

simplify60.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

938×	`log-prod`
838×	`associate-r`
754×	`associate-+r+`
746×	`associate-+l+`
732×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	516
1	170	512
2	493	512
3	3340	512
4	7852	512

Stop Event

1×	node limit

Counts

22 → 27

Calls

Call 1

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

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

eval9.0ms (0.4%)

Compiler: Compiled 279 to 198 computations (29% saved)

prune6.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	2	2
Done	0	1	1
Total	27	4	31

Accuracy

100.0%

Counts

31 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2
✓	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune3.0ms (0.1%)

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
✓	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2
✓	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (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
✓	6.1%	(+.f64 y y)
✓	99.6%	(*.f64 x (+.f64 y y))
✓	100.0%	(.f64 2 (.f64 x y))
	1.6%	-2

Compiler

Compiled 38 to 23 computations (39.5% saved)

regimes50.0ms (2.4%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(.f64 2 (.f64 x y))

Calls

4 calls:

37.0ms	x
4.0ms	(+.f64 y y)
4.0ms	y
4.0ms	(*.f64 x (+.f64 y y))

Results

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

regimes15.0ms (0.7%)

Counts

2 → 1

Calls

Call 1

Inputs
-2
(+.f64 y y)

Outputs
(+.f64 y y)

Calls

3 calls:

7.0ms	x
3.0ms	y
3.0ms	(+.f64 y y)

Results

Accuracy	Segments	Branch
6.1%	1	`x`
6.1%	1	`y`
6.1%	1	`(+.f64 y y)`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-2

Outputs
-2

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
1.6%	1	`y`
1.6%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	14	33

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (.f64 x y))
(+.f64 y y)
-2

Outputs
(.f64 2 (.f64 x y))
(+.f64 y y)
-2

Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness835.0ms (40.3%)

Rules

832×	`prod-diff`
832×	`prod-diff`
646×	`unpow-prod-down`
646×	`unpow-prod-down`
418×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	98	16
2	1386	7
0	218	4294968659
1	622	4294968659
0	9	19
1	98	16
2	1386	7

Stop Event

1×	node limit
1×	unsound
1×	node limit

Compiler

Compiled 396 to 166 computations (58.1% saved)

end0.0ms (0%)

preprocess85.0ms (4.1%)

Remove

(sort x y)

(negabs y)

(negabs x)

Compiler

Compiled 204 to 142 computations (30.4% saved)

analyze0.0ms (0%)

sample667.0ms (32.2%)

preprocess53.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize21.0ms (1%)

series4.0ms (0.2%)

rewrite103.0ms (5%)

simplify17.0ms (0.8%)

eval24.0ms (1.2%)

prune26.0ms (1.2%)

localize27.0ms (1.3%)

series1.0ms (0%)

rewrite48.0ms (2.3%)

simplify60.0ms (2.9%)

eval9.0ms (0.4%)

prune6.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes50.0ms (2.4%)

regimes15.0ms (0.7%)

regimes6.0ms (0.3%)

simplify4.0ms (0.2%)

soundness835.0ms (40.3%)

end0.0ms (0%)

preprocess85.0ms (4.1%)

Profiling