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)

sample1.2s (11%)

Results

721.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 187.0ms (56.7% of total)

ival-add: 81.0ms (24.6% of total)

ival-sub: 47.0ms (14.3% of total)

const: 12.0ms (3.6% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess285.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1182×	`fma-neg`
303×	`fma-define`
196×	`distribute-rgt-in`
196×	`unsub-neg`
132×	`sub-neg`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×

saturated

Calls

Call 1

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

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

explain156.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(+.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

124.0ms

512×

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-sub: 78.0ms (80.6% of total)

ival-mult: 12.0ms (12.4% of total)

ival-add: 5.0ms (5.2% of total)

const: 2.0ms (2.1% of total)

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

eval1.0ms (0%)

Compiler: Compiled 39 to 18 computations (53.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
▶	96.1%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize87.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.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)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) x) z)
✓	accuracy	100.0%	(-.f64 z (*.f64 x (-.f64 z y)))
✓	accuracy	96.5%	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

Rules

255×	`fma-neg`
237×	`fma-define`
44×	`unsub-neg`
40×	`sub-neg`
39×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	168
1	37	168
2	71	168
3	171	156
4	376	156
5	649	156
6	997	156
7	1145	156
8	1157	156

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

35.0ms

256×

valid

Compiler

Compiled 46 to 18 computations (60.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 7.0ms (45% of total)

ival-sub: 6.0ms (38.6% of total)

ival-add: 1.0ms (6.4% of total)

const: 1.0ms (6.4% of total)

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

series80.0ms (0.7%)

Counts

6 → 132

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
63.0ms	z	@	0	(+ (* x y) (* (- 1 x) z))
1.0ms	z	@	0	(- z (* x (- z y)))
1.0ms	x	@	inf	(+ (* x y) (* (- 1 x) z))
1.0ms	y	@	0	(+ (* x y) (* (- 1 x) z))
1.0ms	z	@	-inf	(- z (* x (- z y)))

rewrite509.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`log1p-expm1-u`
912×	`expm1-log1p-u`
734×	`fma-define`
303×	`fma-neg`
123×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	258	128
2	3832	128

Stop Event

1×	node limit

Counts

6 → 261

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z)))
(.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (sqrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log1p.f64 (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (log.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64)))
(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 x y) #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) z (*.f64 x y))
(fma.f64 z (-.f64 #s(literal 1 binary64) x) (*.f64 x y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64) (.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) z) (.f64 x y))
(fma.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)) (*.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) (*.f64 x y))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) (-.f64 #s(literal 1 binary64) x)) (.f64 x y))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) z) (.f64 x y))
(fma.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) (*.f64 x y))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (-.f64 #s(literal 1 binary64) x)) (.f64 x y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x y))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x y))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 x y))
(fma.f64 (.f64 z (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (-.f64 #s(literal 1 binary64) x) z))
(+.f64 z (*.f64 x (neg.f64 (-.f64 z y))))
(+.f64 z (.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (neg.f64 (-.f64 z y)) x (*.f64 x (-.f64 z y))))
(+.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 1 binary64) (.f64 x (-.f64 z y))))
(+.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (neg.f64 x) (-.f64 z y) (*.f64 x (-.f64 z y))))
(+.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 z y))) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(+.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x (-.f64 z y)))) (sqrt.f64 (.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(+.f64 (*.f64 x (neg.f64 (-.f64 z y))) z)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) (neg.f64 x) z))
(*.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(*.f64 (sqrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) (sqrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (-.f64 z y)) (fma.f64 x (-.f64 z y) z) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)))
(.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 x (-.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x (-.f64 z y)) (fma.f64 x (-.f64 z y) z) (pow.f64 z #s(literal 2 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 z y) z) (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 3 binary64))) (fma.f64 (.f64 x (-.f64 z y)) (fma.f64 x (-.f64 z y) z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64))) (fma.f64 x (-.f64 z y) z))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (-.f64 z y)) (fma.f64 x (-.f64 z y) z) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x (-.f64 z y) z)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 3 binary64))) (fma.f64 z z (-.f64 (.f64 (.f64 x (neg.f64 (-.f64 z y))) (.f64 x (neg.f64 (-.f64 z y)))) (.f64 z (.f64 x (neg.f64 (-.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (.f64 x (neg.f64 (-.f64 z y))) (.f64 x (neg.f64 (-.f64 z y))))) (-.f64 z (.f64 x (neg.f64 (-.f64 z y)))))
(pow.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z))))
(cbrt.f64 (pow.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(log1p.f64 (expm1.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(exp.f64 (log.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 z y) (neg.f64 x) z)) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 (-.f64 z y)) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 x (neg.f64 (-.f64 z y))))
(fma.f64 #s(literal 1 binary64) z (.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) (neg.f64 x) z) (fma.f64 (neg.f64 (-.f64 z y)) x (*.f64 x (-.f64 z y))))
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(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (.f64 x z) (.f64 x (neg.f64 y)))
(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y z))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 z y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 x (neg.f64 y)))
(fma.f64 z x (*.f64 (neg.f64 y) x))

simplify171.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

621×	`times-frac`
422×	`fma-neg`
407×	`distribute-lft-neg-in`
344×	`distribute-rgt-neg-in`
225×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	13289
1	1370	12293
2	4065	12289

Stop Event

1×	node limit

Counts

393 → 340

Calls

Call 1

Inputs
z
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z)))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z)))))
(*.f64 x y)
(-.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 x y)))
(-.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))))
z
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(+.f64 z (*.f64 x (-.f64 y z)))
(*.f64 x (-.f64 y z))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(*.f64 x (-.f64 (+.f64 y (/.f64 z x)) z))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 z y)))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (-.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (-.f64 z y)))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (.f64 #s(literal -1 binary64) (-.f64 z y)))))
(-.f64 z (*.f64 x z))
(-.f64 (+.f64 z (.f64 x y)) (.f64 x z))
(-.f64 (+.f64 z (.f64 x y)) (.f64 x z))
(-.f64 (+.f64 z (.f64 x y)) (.f64 x z))
(*.f64 x y)
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(.f64 y (-.f64 (/.f64 z y) (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 x z)) y)) x)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 x z)) y)) x)))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 z (.f64 x z)) y)) x)))
z
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(*.f64 x z)
(.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) z))))
(*.f64 x z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x y) z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x y) z))))
(*.f64 x z)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x y)) (*.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x z) y)))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y)))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z)))
(.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(.f64 (cbrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) (pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (sqrt.f64 (fma.f64 x y (.f64 (-.f64 #s(literal 1 binary64) x) z))) (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y (.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64))) (fma.f64 x y (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 x y (*.f64 (neg.f64 z) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z) (.f64 x y)))
(pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x y (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64)))
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(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 (-.f64 z y)) x (.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 1 binary64) (*.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 x) (-.f64 z y) (.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 z y))) #s(literal 2 binary64)) (.f64 x (-.f64 z y))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (.f64 x (-.f64 z y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 z y) z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x (-.f64 z y)))) (sqrt.f64 (.f64 x (-.f64 z y))) (.f64 x (-.f64 z y))))
(fma.f64 (neg.f64 (-.f64 z y)) x z)
(fma.f64 (neg.f64 (sqrt.f64 (.f64 x (-.f64 z y)))) (sqrt.f64 (.f64 x (-.f64 z y))) z)
(fma.f64 (.f64 (cbrt.f64 (.f64 x (neg.f64 (-.f64 z y)))) (cbrt.f64 (.f64 x (neg.f64 (-.f64 z y))))) (cbrt.f64 (.f64 x (neg.f64 (-.f64 z y)))) z)
(fma.f64 (sqrt.f64 (.f64 x (neg.f64 (-.f64 z y)))) (sqrt.f64 (.f64 x (neg.f64 (-.f64 z y)))) z)
(fma.f64 #s(literal -1 binary64) (*.f64 x (-.f64 z y)) z)
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (-.f64 z y)) x (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (fma.f64 (.f64 x (neg.f64 (-.f64 z y))) #s(literal 1 binary64) (.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 x) (-.f64 z y) (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x (-.f64 z y)))) (pow.f64 (cbrt.f64 (.f64 x (-.f64 z y))) #s(literal 2 binary64)) (*.f64 x (-.f64 z y))))
(fma.f64 (+.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (-.f64 (sqrt.f64 z) (sqrt.f64 (.f64 x (-.f64 z y)))) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x (-.f64 z y)))) (sqrt.f64 (.f64 x (-.f64 z y))) (*.f64 x (-.f64 z y))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 x (-.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x (-.f64 z y))) z)
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (-.f64 z y) z)
(fma.f64 (*.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (-.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 z y)) z)
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (-.f64 z y))) (sqrt.f64 (-.f64 z y)) z)
(+.f64 z (*.f64 z (neg.f64 x)))
(+.f64 z (*.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z))) #s(literal 1 binary64))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) z)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 z (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) z (*.f64 (neg.f64 x) z))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (neg.f64 x)))
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 x) z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z (neg.f64 x)))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (neg.f64 x) z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 (neg.f64 x) z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z (neg.f64 x)))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (neg.f64 x) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (log1p.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(+.f64 (.f64 x z) (.f64 x (neg.f64 y)))
(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y z))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 z y)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 z y)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 z y))) #s(literal 1 binary64)))
(fma.f64 x z (*.f64 x (neg.f64 y)))
(fma.f64 z x (*.f64 (neg.f64 y) x))

Outputs
z
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 z (.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z))))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) z)))
(*.f64 x (-.f64 y z))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(.f64 x (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) y))))
(*.f64 x (-.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 z x))))))
(*.f64 x (+.f64 (-.f64 y z) (/.f64 z x)))
(*.f64 x (+.f64 y (-.f64 (/.f64 z x) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 x y)
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(.f64 y (+.f64 x (/.f64 (.f64 z (-.f64 #s(literal 1 binary64) x)) y)))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) y)))))
(.f64 y (+.f64 x (.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y))))
(*.f64 y (fma.f64 z (/.f64 (-.f64 #s(literal 1 binary64) x) y) x))
(*.f64 x y)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(+.f64 (.f64 x y) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(+.f64 z (*.f64 x (-.f64 y z)))
(fma.f64 x (-.f64 y z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x y) z) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x y) z) x)))
(*.f64 z (-.f64 (fma.f64 x (/.f64 y z) #s(literal 1 binary64)) x))
(.f64 z (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x y) z)) x))
(.f64 z (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 x y) z) x)))
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(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (neg.f64 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 x #s(literal 1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) x)
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 #s(literal 1 binary64) x)
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 (neg.f64 x)))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (.f64 x z) (.f64 x (neg.f64 y)))
(*.f64 x (-.f64 z y))
(+.f64 (.f64 z x) (.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 z y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 z y)))
(*.f64 x (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y (+.f64 y z) (pow.f64 z #s(literal 2 binary64))))
(*.f64 x (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 z y) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) x) (+.f64 y z))
(*.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (+.f64 z y)))
(*.f64 x (/.f64 (-.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (+.f64 z y)))
(pow.f64 (*.f64 x (-.f64 z y)) #s(literal 1 binary64))
(*.f64 x (-.f64 z y))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) #s(literal 3 binary64))
(*.f64 x (-.f64 z y))
(pow.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (-.f64 z y))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 z y))) #s(literal 2 binary64))
(*.f64 x (-.f64 z y))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 2 binary64)))
(*.f64 x (-.f64 z y))
(log.f64 (pow.f64 (exp.f64 (-.f64 z y)) x))
(*.f64 x (-.f64 z y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 z y)))))
(*.f64 x (-.f64 z y))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 z y)) #s(literal 3 binary64)))
(*.f64 x (-.f64 z y))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 z y))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 z y))))
(*.f64 x (-.f64 z y))
(exp.f64 (log.f64 (*.f64 x (-.f64 z y))))
(*.f64 x (-.f64 z y))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 z y))) #s(literal 1 binary64)))
(*.f64 x (-.f64 z y))
(fma.f64 x z (*.f64 x (neg.f64 y)))
(*.f64 x (-.f64 z y))
(fma.f64 z x (*.f64 (neg.f64 y) x))
(*.f64 x (-.f64 z y))

eval55.0ms (0.5%)

Compiler: Compiled 5456 to 2063 computations (62.2% saved)

prune53.0ms (0.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	335	5	340
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	337	5	342

Accuracy

100.0%

Counts

342 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.3%	(-.f64 z (*.f64 y (neg.f64 x)))
▶	61.2%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
▶	68.2%	(*.f64 x (-.f64 y z))
▶	42.7%	(*.f64 x y)
▶	33.8%	z

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize89.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (-.f64 y z))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 y (neg.f64 x))
✓	accuracy	100.0%	(*.f64 x (-.f64 y z))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 z (-.f64 #s(literal 1 binary64) x))

Rules

165×	`fma-define`
150×	`fma-neg`
46×	`unsub-neg`
41×	`associate-r`
35×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	173
1	40	169
2	76	165
3	205	165
4	461	165
5	759	165
6	906	165
7	940	165

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

37.0ms

256×

valid

Compiler

Compiled 47 to 16 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (48.2% of total)

ival-sub: 5.0ms (34.4% of total)

const: 1.0ms (6.9% of total)

ival-neg: 1.0ms (6.9% of total)

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

series12.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (*.f64 z (-.f64 #s(literal 1 binary64) x))>
#<alt (neg.f64 x)>
#<alt (*.f64 x (-.f64 y z))>
#<alt (*.f64 y (neg.f64 x))>

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

Calls

24 calls:

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

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`log1p-expm1-u`
951×	`expm1-log1p-u`
572×	`prod-diff`
295×	`fma-define`
162×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	217	58
2	2919	58

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

Outputs
(+.f64 z (*.f64 z x))
(+.f64 z (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 z)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z x))
(fma.f64 z #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) z (*.f64 z x))
(fma.f64 #s(literal 1 binary64) z (*.f64 x z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x z))
(+.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
x
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (neg.f64 z) x))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 x y (*.f64 (neg.f64 z) x))
(fma.f64 y x (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (neg.f64 z) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 z)))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 (neg.f64 z) x))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 (neg.f64 z) x))
(fma.f64 (neg.f64 y) x (*.f64 x (neg.f64 z)))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 z) x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

364×	`*-commutative`
361×	`exp-prod`
305×	`associate-/l*`
290×	`div-sub`
237×	`fabs-mul`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4215
1	633	4029
2	2101	3980
3	5737	3980

Stop Event

1×	node limit

Counts

214 → 184

Calls

Call 1

Inputs
z
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(.f64 #s(literal -1 binary64) (.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(*.f64 x y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(+.f64 z (*.f64 z x))
(+.f64 z (*.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) z) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (+.f64 #s(literal 1 binary64) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (*.f64 z (+.f64 #s(literal 1 binary64) x))))
(exp.f64 (+.f64 (log1p.f64 x) (log.f64 z)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 z)) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z x))
(fma.f64 z #s(literal 1 binary64) (*.f64 x z))
(fma.f64 #s(literal 1 binary64) z (*.f64 z x))
(fma.f64 #s(literal 1 binary64) z (*.f64 x z))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 z x))
(fma.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 x z))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 z x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z) (*.f64 x z))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 z x))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x z))
(+.f64 #s(literal 0 binary64) x)
(-.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) x)
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64))) x)
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(fma.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(+.f64 (.f64 x y) (.f64 x (neg.f64 z)))
(+.f64 (.f64 x y) (.f64 (neg.f64 z) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (-.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) x) (fma.f64 z (+.f64 z y) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) x) (+.f64 z y))
(pow.f64 (*.f64 x (-.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (-.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (-.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (-.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (-.f64 y z))))
(log1p.f64 (expm1.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (log.f64 (*.f64 x (-.f64 y z))))
(exp.f64 (.f64 (log.f64 (.f64 x (-.f64 y z))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) (.f64 x y) (.f64 (neg.f64 z) x))
(fma.f64 x y (*.f64 x (neg.f64 z)))
(fma.f64 x y (*.f64 (neg.f64 z) x))
(fma.f64 y x (*.f64 x (neg.f64 z)))
(fma.f64 y x (*.f64 (neg.f64 z) x))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x y) #s(literal 1 binary64) (.f64 (neg.f64 z) x))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 z)))
(fma.f64 (cbrt.f64 (.f64 x y)) (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (*.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (.f64 x y)) (*.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) x) (.f64 (neg.f64 z) x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 x (neg.f64 z)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y)) (*.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (neg.f64 z) x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 x (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 (neg.f64 z) x))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 (neg.f64 z) x))
(fma.f64 (neg.f64 y) x (*.f64 x (neg.f64 z)))
(fma.f64 (neg.f64 y) x (*.f64 (neg.f64 z) x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 z) x))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 x (neg.f64 z)))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 (neg.f64 z) x))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x y)))
(log1p.f64 (expm1.f64 (*.f64 x y)))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))

Outputs
z
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(+.f64 z (.f64 #s(literal -1 binary64) (.f64 x z)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x z))
(*.f64 x (neg.f64 z))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 z x)))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x z))
(*.f64 x (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 z (*.f64 #s(literal -1 binary64) (/.f64 z x)))))
(+.f64 z (*.f64 x (neg.f64 z)))
(fma.f64 x (neg.f64 z) z)
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(.f64 #s(literal -1 binary64) (.f64 x z))
(*.f64 x (neg.f64 z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(*.f64 x y)
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 y (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (.f64 x z) y))))
(.f64 y (+.f64 x (/.f64 (.f64 x (neg.f64 z)) y)))
(.f64 y (-.f64 x (.f64 z (/.f64 x y))))
(.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(*.f64 x y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (*.f64 x y))
(*.f64 x (-.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(*.f64 x (neg.f64 z))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x y) z)))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 x z))
(*.f64 x (neg.f64 z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 z (fma.f64 #s(literal -1 binary64) x (.f64 x (/.f64 y z))))
(.f64 z (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
(*.f64 x (neg.f64 y))
(.f64 #s(literal -1 binary64) (.f64 x y))
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(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 x (neg.f64 z)))
(*.f64 x (-.f64 y z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (neg.f64 z) x))
(*.f64 x (-.f64 y z))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 x (neg.f64 z)))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(*.f64 (neg.f64 x) (+.f64 z y))
(*.f64 x (-.f64 (neg.f64 y) z))
(fma.f64 (.f64 y #s(literal -1 binary64)) x (.f64 (neg.f64 z) x))
(fma.f64 #s(literal -1 binary64) (.f64 x y) (.f64 x (neg.f64 z)))
(*.f64 (neg.f64 x) (+.f64 z y))
(*.f64 x (-.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 x (neg.f64 y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x y))) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 x y)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(*.f64 x y)
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 y) x))
(*.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x y))))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 x y)
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 x y)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 1 binary64)))
(*.f64 x y)

eval28.0ms (0.3%)

Compiler: Compiled 1837 to 842 computations (54.2% saved)

prune31.0ms (0.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	196	1	197
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	196	6	202

Accuracy

100.0%

Counts

202 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	61.2%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	68.2%	(*.f64 x (-.f64 y z))
▶	30.0%	(*.f64 x (neg.f64 z))
✓	42.7%	(*.f64 x y)
✓	33.8%	z

Compiler

Compiled 42 to 29 computations (31% saved)

localize29.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 x (neg.f64 z))
✓	accuracy	100.0%	(*.f64 x (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)

Rules

38×	`fma-define`
9×	`sub-neg`
6×	`distribute-lft-in`
4×	`mul0-rgt`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

14.0ms

256×

valid

Compiler

Compiled 12 to 6 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (65% of total)

ival-neg: 1.0ms (21.7% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0%)

Counts

2 → 36

Calls

Call 1

Inputs
#<alt (neg.f64 z)>
#<alt (*.f64 x (neg.f64 z))>

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

Calls

9 calls:

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

rewrite62.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

305×	`unpow-prod-down`
278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
265×	`add-exp-log`
258×	`add-log-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	90	8
2	1085	2

Stop Event

1×	node limit

Counts

2 → 2

Calls

Call 1

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

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-define`
9×	`sub-neg`
6×	`+-commutative`
4×	`mul0-rgt`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	506
1	20	506
2	28	506
3	31	506
4	39	506
5	61	506
6	78	506
7	92	506
8	111	506
9	123	506

Stop Event

1×

saturated

Counts

38 → 6

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 x z))
#s(literal 0 binary64)
#s(literal 0 binary64)

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

eval1.0ms (0%)

Compiler: Compiled 28 to 17 computations (39.3% saved)

prune3.0ms (0%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	5	7	12

Accuracy

100.0%

Counts

12 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	61.2%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	68.2%	(*.f64 x (-.f64 y z))
✓	30.0%	(*.f64 x (neg.f64 z))
✓	42.7%	(*.f64 x y)
▶	2.5%	(*.f64 x #s(literal 0 binary64))
✓	33.8%	z

Compiler

Compiled 48 to 34 computations (29.2% saved)

localize28.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(*.f64 x #s(literal 0 binary64))
✓	accuracy	100.0%	(*.f64 x #s(literal 0 binary64))

Rules

1×	`mul0-rgt`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	8	6

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x #s(literal 0 binary64))
x
#s(literal 0 binary64)

Outputs
(*.f64 x #s(literal 0 binary64))
#s(literal 0 binary64)
x
#s(literal 0 binary64)

Results

9.0ms

256×

valid

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-mult: 1.0ms (69.3% of total)

const: 0.0ms (0% of total)

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (*.f64 x #s(literal 0 binary64))>

Outputs
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>

Calls

3 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`log1p-expm1-u`
820×	`expm1-log1p-u`
629×	`prod-diff`
500×	`log-prod`
277×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	1
1	48	1
2	309	1
3	2697	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x #s(literal 0 binary64))

Outputs
#s(literal 0 binary64)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)
#s(literal 0 binary64)

eval0.0ms (0%)

Compiler: Compiled 4 to 4 computations (0% saved)

prune4.0ms (0%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	1	7	8

Accuracy

100.0%

Counts

8 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	74.3%	(-.f64 z (*.f64 y (neg.f64 x)))
✓	61.2%	(*.f64 z (-.f64 #s(literal 1 binary64) x))
✓	68.2%	(*.f64 x (-.f64 y z))
✓	30.0%	(*.f64 x (neg.f64 z))
✓	42.7%	(*.f64 x y)
✓	33.8%	z
	2.5%	#s(literal 0 binary64)

Compiler

Compiled 93 to 57 computations (38.7% saved)

regimes16.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 z (*.f64 y (neg.f64 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:

5.0ms	z
3.0ms	x
3.0ms	y
3.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 #s(literal 1 binary64) x) z))

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)

regimes33.0ms (0.3%)

Counts

8 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 y z))
(*.f64 z (-.f64 #s(literal 1 binary64) x))
(-.f64 z (*.f64 y (neg.f64 x)))

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

Calls

3 calls:

16.0ms	y
8.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
99.3%	3	`x`
88.8%	3	`y`
88.1%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes24.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 z))
(*.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:

9.0ms	y
7.0ms	x
7.0ms	z

Results

Accuracy	Segments	Branch
81.5%	3	`z`
81.5%	3	`y`
87.5%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 y z))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
87.5%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes30.0ms (0.3%)

Counts

5 → 6

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)
(*.f64 x (neg.f64 z))

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

Calls

3 calls:

10.0ms	y
10.0ms	z
9.0ms	x

Results

Accuracy	Segments	Branch
62.7%	6	`y`
63.6%	6	`z`
67.8%	6	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))
(*.f64 x y)

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.1%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
z
(*.f64 x #s(literal 0 binary64))

Outputs
z

Calls

3 calls:

2.0ms	z
2.0ms	y
2.0ms	x

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

0.0ms	x
0.0ms	y
0.0ms	z

Results

Accuracy	Segments	Branch
2.5%	1	`y`
2.5%	1	`z`
2.5%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.5265512075842683e-17	9.149231886217429e-6
11.0ms	-18529865906.733723	-5183155.541298866

Results

17.0ms

288×

valid

Compiler

Compiled 360 to 247 computations (31.4% saved)

Precisions

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

ival-mult: 5.0ms (59.6% of total)

ival-sub: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.2154384973938873e-70	1.0979582747611826e-68
17.0ms	-8.014312906448545e-28	-7.48367753851955e-49

Results

18.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-mult: 4.0ms (49.9% of total)

ival-sub: 2.0ms (24.9% of total)

ival-add: 1.0ms (12.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.2154384973938873e-70	1.0979582747611826e-68
15.0ms	-8.014312906448545e-28	-7.48367753851955e-49

Results

23.0ms

288×

valid

Compiler

Compiled 270 to 193 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 11.0ms (77.5% of total)

ival-sub: 2.0ms (14.1% of total)

ival-add: 1.0ms (7% of total)

const: 0.0ms (0% of total)

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

bsearch70.0ms (0.6%)

Algorithm

5×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.78861656327557e+86	1.1360642477524882e+95
11.0ms	1.264405915861718e+34	5.0107746264345876e+36
13.0ms	4.2154384973938873e-70	1.0979582747611826e-68
11.0ms	-6.345987293246394e-15	-1.1171703009045058e-17
16.0ms	-1.3085172581211486e+42	-1.3089061764754076e+35

Results

45.0ms

656×

valid

Compiler

Compiled 588 to 434 computations (26.2% saved)

Precisions

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

ival-mult: 10.0ms (49.2% of total)

ival-sub: 6.0ms (29.5% of total)

ival-add: 3.0ms (14.8% of total)

const: 1.0ms (4.9% of total)

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

bsearch76.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.2154384973938873e-70	1.0979582747611826e-68
64.0ms	-6.345987293246394e-15	-1.1171703009045058e-17

Results

14.0ms

240×

valid

Compiler

Compiled 198 to 148 computations (25.3% saved)

Precisions

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

ival-mult: 4.0ms (61.4% of total)

ival-sub: 1.0ms (15.3% of total)

ival-add: 1.0ms (15.3% of total)

const: 0.0ms (0% of total)

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

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

64×	`distribute-lft-neg-in`
35×	`neg-mul-1`
31×	`neg-sub0`
31×	`distribute-neg-in`
30×	`cancel-sign-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	423
1	115	419
2	150	419
3	188	419
4	251	419
5	311	419
6	338	419
7	364	419
8	386	419
9	411	419
10	444	419
11	478	419
12	481	419

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 z (*.f64 x (-.f64 z y)))
(if (<=.f64 x #s(literal -5200000 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5312662293228351/590295810358705651712 binary64)) (-.f64 z (.f64 y (neg.f64 x))) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -7509228150242855/766247770432944429179173513575154591809369561091801088 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) z (.f64 x (-.f64 y z))))
(if (<=.f64 x #s(literal -20500000000000000804100231217551893331968 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -5577662641004209/1267650600228229401496703205376 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 6605074233567479/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (if (<=.f64 x #s(literal 919999999999999926870782415942451200 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800 binary64)) (.f64 x (neg.f64 z)) (*.f64 x y))))))
(if (<=.f64 x #s(literal -6814889626826961/162259276829213363391578010288128 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4468138452119177/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (.f64 x y)))
z
#s(literal 0 binary64)

Outputs
(-.f64 z (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 x (-.f64 y z)))
(if (<=.f64 x #s(literal -5200000 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 5312662293228351/590295810358705651712 binary64)) (-.f64 z (.f64 y (neg.f64 x))) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -5200000 binary64)) (not (<=.f64 x #s(literal 5312662293228351/590295810358705651712 binary64)))) (.f64 x (-.f64 y z)) (-.f64 z (.f64 y (neg.f64 x))))
(if (or (<=.f64 x #s(literal -5200000 binary64)) (not (<=.f64 x #s(literal 5312662293228351/590295810358705651712 binary64)))) (.f64 x (-.f64 y z)) (+.f64 z (.f64 x y)))
(if (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) (.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (not (<=.f64 x #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)))) (.f64 x (-.f64 y z)) (.f64 z (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -7509228150242855/766247770432944429179173513575154591809369561091801088 binary64)) (.f64 x (-.f64 y z)) (if (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) z (.f64 x (-.f64 y z))))
(if (or (<=.f64 x #s(literal -7509228150242855/766247770432944429179173513575154591809369561091801088 binary64)) (not (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)))) (*.f64 x (-.f64 y z)) z)
(if (<=.f64 x #s(literal -20500000000000000804100231217551893331968 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -5577662641004209/1267650600228229401496703205376 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 6605074233567479/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (if (<=.f64 x #s(literal 919999999999999926870782415942451200 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800 binary64)) (.f64 x (neg.f64 z)) (*.f64 x y))))))
(if (<=.f64 x #s(literal -20500000000000000804100231217551893331968 binary64)) (.f64 x (neg.f64 z)) (if (<=.f64 x #s(literal -5577662641004209/1267650600228229401496703205376 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 6605074233567479/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (if (or (<=.f64 x #s(literal 919999999999999926870782415942451200 binary64)) (not (<=.f64 x #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800 binary64)))) (.f64 x y) (.f64 x (neg.f64 z))))))
(if (<=.f64 x #s(literal -20500000000000000804100231217551893331968 binary64)) (.f64 z (neg.f64 x)) (if (<=.f64 x #s(literal -5577662641004209/1267650600228229401496703205376 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 6605074233567479/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (if (or (<=.f64 x #s(literal 919999999999999926870782415942451200 binary64)) (not (<=.f64 x #s(literal 4499999999999999905717613292495848770878857440563957269888020387911115559359604979453132800 binary64)))) (.f64 x y) (.f64 z (neg.f64 x))))))
(if (<=.f64 x #s(literal -6814889626826961/162259276829213363391578010288128 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 4468138452119177/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)) z (.f64 x y)))
(if (or (<=.f64 x #s(literal -6814889626826961/162259276829213363391578010288128 binary64)) (not (<=.f64 x #s(literal 4468138452119177/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 binary64)))) (*.f64 x y) z)
z
#s(literal 0 binary64)

soundness7.4s (66.3%)

Rules

1182×	`fma-neg`
621×	`times-frac`
422×	`fma-neg`
407×	`distribute-lft-neg-in`
364×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	13289
1	1370	12293
2	4065	12289
0	10	16
1	90	8
2	1085	2
0	301	4215
1	633	4029
2	2101	3980
3	5737	3980
0	40	399
1	100	387
2	237	379
3	683	351
4	1709	339
5	2871	337
6	3249	337
7	3289	337
8	3293	337
9	3293	317
10	3936	317
11	3936	317

Stop Event

1×	fuel
1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 312 to 155 computations (50.3% saved)

preprocess99.0ms (0.9%)

Compiler: Compiled 252 to 132 computations (47.6% saved)

Iter	Nodes	Cost
0	12	506
1	20	506
2	28	506
3	31	506
4	39	506
5	61	506
6	78	506
7	92	506
8	111	506
9	123	506

Iter	Nodes	Cost
0	67	423
1	115	419
2	150	419
3	188	419
4	251	419
5	311	419
6	338	419
7	364	419
8	386	419
9	411	419
10	444	419
11	478	419
12	481	419

Iter	Nodes	Cost
0	12	506
1	20	506
2	28	506
3	31	506
4	39	506
5	61	506
6	78	506
7	92	506
8	111	506
9	123	506

Iter	Nodes	Cost
0	67	423
1	115	419
2	150	419
3	188	419
4	251	419
5	311	419
6	338	419
7	364	419
8	386	419
9	411	419
10	444	419
11	478	419
12	481	419

analyze0.0ms (0%)

sample1.2s (11%)

preprocess285.0ms (2.6%)

explain156.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0%)

localize87.0ms (0.8%)

series80.0ms (0.7%)

rewrite509.0ms (4.6%)

simplify171.0ms (1.5%)

eval55.0ms (0.5%)

prune53.0ms (0.5%)

localize89.0ms (0.8%)

series12.0ms (0.1%)

rewrite117.0ms (1.1%)

simplify123.0ms (1.1%)

eval28.0ms (0.3%)

prune31.0ms (0.3%)

localize29.0ms (0.3%)

series3.0ms (0%)

rewrite62.0ms (0.6%)

simplify22.0ms (0.2%)

eval1.0ms (0%)

prune3.0ms (0%)

localize28.0ms (0.3%)

series1.0ms (0%)

rewrite90.0ms (0.8%)

simplify5.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0%)

regimes16.0ms (0.1%)

regimes33.0ms (0.3%)

regimes24.0ms (0.2%)

regimes7.0ms (0.1%)

regimes30.0ms (0.3%)

regimes5.0ms (0%)

regimes6.0ms (0.1%)

regimes2.0ms (0%)

bsearch28.0ms (0.3%)

bsearch32.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch70.0ms (0.6%)

bsearch76.0ms (0.7%)

simplify29.0ms (0.3%)

soundness7.4s (66.3%)

preprocess99.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	506
1	20	506
2	28	506
3	31	506
4	39	506
5	61	506
6	78	506
7	92	506
8	111	506
9	123	506

Iter	Nodes	Cost
0	67	423
1	115	419
2	150	419
3	188	419
4	251	419
5	311	419
6	338	419
7	364	419
8	386	419
9	411	419
10	444	419
11	478	419
12	481	419