Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample994.0ms (22.5%)

Memory
28.4MiB live, 848.8MiB allocated; 196ms collecting garbage
Samples
639.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 271.0ms
ival-add: 147.0ms (54.2% of total)
ival-mult: 69.0ms (25.4% of total)
ival-sub: 39.0ms (14.4% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain253.0ms (5.7%)

Memory
41.5MiB live, 215.0MiB allocated; 110ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
88.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 67.0ms (91% of total)
ival-sub: 3.0ms (4.1% of total)
ival-mult: 3.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (1%)

Memory
-0.3MiB live, 90.1MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02670
15070
210870
323666
437066
550566
661166
772966
878566
982566
1084566
077
0107
1147
2227
3357
4567
5857
61057
71377
81557
91757
101857
01857
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

series74.0ms (1.7%)

Memory
-34.0MiB live, 20.3MiB allocated; 88ms collecting garbage
Counts
7 → 24
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
z
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
69.0ms
y
@inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) 1 z)
1.0ms
x
@inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) 1 z)
1.0ms
x
@-inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) 1 z)
1.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) 1 z)
1.0ms
z
@-inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) 1 z)

simplify144.0ms (3.3%)

Memory
21.8MiB live, 257.2MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065124
1220123
2773123
32468123
46395123
08148123
Stop Event
iter limit
node limit
Counts
24 → 21
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
z
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 z)
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
y
(+ x y)
(+.f64 y x)
x
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
z
(* -1 (* z (+ x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))

rewrite177.0ms (4%)

Memory
0.1MiB live, 334.6MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
14017
228117
3324817
0987317
Stop Event
iter limit
node limit
iter limit
Counts
7 → 464
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 y x))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 y x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) z))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z z)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))))) (-.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 #s(literal -1 binary64) (*.f64 z z)))) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))))) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64)))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
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(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
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(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) #s(literal 1 binary64))
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(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
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(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
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(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 z))
(-.f64 #s(literal 1 binary64) z)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 1 binary64) z)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 z))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 z))) (sqrt.f64 (neg.f64 (neg.f64 z))))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (neg.f64 z) #s(literal 1 binary64))
(pow.f64 (*.f64 z z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal 1 binary64))
(sqrt.f64 (*.f64 z z))
(fabs.f64 (neg.f64 (neg.f64 z)))
(fabs.f64 (neg.f64 z))
(fabs.f64 z)
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 z)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (log.f64 z))
(+.f64 (cosh.f64 (log.f64 z)) (sinh.f64 (log.f64 z)))
z

eval53.0ms (1.2%)

Memory
11.1MiB live, 145.5MiB allocated; 10ms collecting garbage
Compiler

Compiled 12 925 to 1 472 computations (88.6% saved)

prune76.0ms (1.7%)

Memory
4.3MiB live, 89.1MiB allocated; 66ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4697476
Fresh000
Picked101
Done000
Total4707477
Accuracy
100.0%
Counts
477 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 #s(literal 1 binary64) z) y))
85.0%
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
99.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
52.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
53.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Compiler

Compiled 168 to 138 computations (17.9% saved)

simplify0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

series19.0ms (0.4%)

Memory
-5.3MiB live, 37.1MiB allocated; 12ms collecting garbage
Counts
20 → 36
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
(+.f64 x y)
x
y
#s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(/ 1 z)
(/ (+ 1 (* -1 z)) z)
z
(+ x (* -1 (* x z)))
(+ y (* -1 (* y z)))
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (- (/ 1 z) 1))
-1
(- (/ 1 z) 1)
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
12.0ms
z
@inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) (* (- (/ 1 z) 1) z) (- (/ 1 z) 1) (/ 1 z) 1 z (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z))
2.0ms
z
@-inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) (* (- (/ 1 z) 1) z) (- (/ 1 z) 1) (/ 1 z) 1 z (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z))
1.0ms
x
@inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) (* (- (/ 1 z) 1) z) (- (/ 1 z) 1) (/ 1 z) 1 z (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z))
1.0ms
z
@0
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) (* (- (/ 1 z) 1) z) (- (/ 1 z) 1) (/ 1 z) 1 z (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z))
1.0ms
x
@-inf
((* (+ x y) (- 1 z)) (+ x y) x y (- 1 z) (* (- (/ 1 z) 1) z) (- (/ 1 z) 1) (/ 1 z) 1 z (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (- 1 z) (* (+ x y) (- 1 z)) (- 1 z) (neg z))

simplify159.0ms (3.6%)

Memory
-12.1MiB live, 184.3MiB allocated; 56ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086175
1300171
2864171
32688171
45978171
08023171
Stop Event
iter limit
node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
1
(+ 1 (* -1 z))
(/ 1 z)
(/ (+ 1 (* -1 z)) z)
z
(+ x (* -1 (* x z)))
(+ y (* -1 (* y z)))
(* -1 z)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (- (/ 1 z) 1))
-1
(- (/ 1 z) 1)
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
y
(+ x y)
(+.f64 y x)
x
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 z)) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
z
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ x y)))
(*.f64 (neg.f64 z) (+.f64 y x))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
-1
#s(literal -1 binary64)
(- (/ 1 z) 1)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* y z))
(*.f64 (neg.f64 z) y)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)

rewrite173.0ms (3.9%)

Memory
53.3MiB live, 233.0MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023119
035119
185119
2512119
35802119
08472115
Stop Event
iter limit
node limit
iter limit
Counts
20 → 360
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
(+.f64 x y)
x
y
#s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (- 1 z) #s(literal 1 binary64))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (-.f64 x y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (+.f64 y x))
(*.f64 (+.f64 y x) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (-.f64 y x))
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y)) (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x))) (-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x)) (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y))) (-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (-.f64 (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x)) (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (-.f64 (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y)) (*.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))))
(fma.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x))
(fma.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y))
(fma.f64 y #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x))
(fma.f64 x #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y))
(-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 (neg.f64 x) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))))
(-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) y) (*.f64 (neg.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) x))
(-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 (neg.f64 y) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))))
(-.f64 (*.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z)) x) (*.f64 (neg.f64 #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) y))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (*.f64 (expm1.f64 (neg.f64 (log.f64 z))) z))))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (-.f64 (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z)))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.f64 (*.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (neg.f64 z)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (neg.f64 z))))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(fma.f64 y #s(approx (- 1 z) (neg.f64 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(fma.f64 x #s(approx (- 1 z) (neg.f64 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(-.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 (neg.f64 x) #s(approx (- 1 z) (neg.f64 z))))
(-.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 (neg.f64 #s(approx (- 1 z) (neg.f64 z))) x))
(-.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 (neg.f64 y) #s(approx (- 1 z) (neg.f64 z))))
(-.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 (neg.f64 #s(approx (- 1 z) (neg.f64 z))) y))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (neg.f64 z))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(approx (- 1 z) (neg.f64 z))))
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (- 1 z) (neg.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(neg.f64 z)

eval81.0ms (1.8%)

Memory
-4.6MiB live, 135.8MiB allocated; 43ms collecting garbage
Compiler

Compiled 15 238 to 1 674 computations (89% saved)

prune13.0ms (0.3%)

Memory
-7.8MiB live, 37.8MiB allocated; 7ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5484552
Fresh202
Picked055
Done000
Total5509559
Accuracy
100.0%
Counts
559 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
99.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
52.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
48.9%
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
53.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
29.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
27.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
Compiler

Compiled 132 to 99 computations (25% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series20.0ms (0.5%)

Memory
-8.8MiB live, 37.3MiB allocated; 4ms collecting garbage
Counts
20 → 43
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
y
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(+.f64 #s(literal -1 binary64) (*.f64 z z))
#s(literal -1 binary64)
(*.f64 z z)
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (- 1 z) (neg.f64 z))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* -1 (* x z))
x
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* y z))
y
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(* y (- (pow z 2) 1))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
(* -1 z)
z
(+ y (* -1 (* y z)))
(* -1 y)
(+ (* -1 y) (* y (pow z 2)))
-1
(- (pow z 2) 1)
(pow z 2)
(- (* -1 z) 1)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 y) (/ y z)))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ 1 (/ 1 z))))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (- 1 (/ 1 z))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
((* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) z x (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) y (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (+ -1 (* z z)) -1 (* z z) (+ (* -1 z) -1) (+ (* (- 1 z) x) (* (- 1 z) y)) (- 1 z) (* (- 1 z) y))
3.0ms
z
@inf
((* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) z x (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) y (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (+ -1 (* z z)) -1 (* z z) (+ (* -1 z) -1) (+ (* (- 1 z) x) (* (- 1 z) y)) (- 1 z) (* (- 1 z) y))
3.0ms
y
@0
((* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) z x (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) y (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (+ -1 (* z z)) -1 (* z z) (+ (* -1 z) -1) (+ (* (- 1 z) x) (* (- 1 z) y)) (- 1 z) (* (- 1 z) y))
2.0ms
y
@-inf
((* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) z x (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) y (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (+ -1 (* z z)) -1 (* z z) (+ (* -1 z) -1) (+ (* (- 1 z) x) (* (- 1 z) y)) (- 1 z) (* (- 1 z) y))
2.0ms
y
@inf
((* (+ x y) (- 1 z)) (* (- 1 z) x) (* (neg z) x) (neg z) z x (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (neg z) y) y (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (+ -1 (* z z)) -1 (* z z) (+ (* -1 z) -1) (+ (* (- 1 z) x) (* (- 1 z) y)) (- 1 z) (* (- 1 z) y))

simplify399.0ms (9%)

Memory
9.1MiB live, 163.9MiB allocated; 204ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096226
1332225
21041222
33370222
47984222
08330217
Stop Event
iter limit
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* -1 (* x z))
x
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* y z))
y
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(* y (- (pow z 2) 1))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
(* -1 z)
z
(+ y (* -1 (* y z)))
(* -1 y)
(+ (* -1 y) (* y (pow z 2)))
-1
(- (pow z 2) 1)
(pow z 2)
(- (* -1 z) 1)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
1
(+ 1 (* -1 z))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 y) (/ y z)))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ 1 (/ 1 z))))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (- (/ 1 z) 1))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
x
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
y
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (fma.f64 z z #s(literal -1 binary64)))
(* y (- (pow z 2) 1))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 z)
(neg.f64 z)
z
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (pow z 2) 1)
(fma.f64 z z #s(literal -1 binary64))
(pow z 2)
(*.f64 z z)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 x) y) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (*.f64 z z))
(* -1 (* z (+ 1 (/ 1 z))))
(-.f64 #s(literal -1 binary64) z)
(* z (+ (* -1 x) (* -1 y)))
(*.f64 (-.f64 (neg.f64 x) y) z)
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* z (- (/ 1 z) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* -1 (* z (- 1 (/ 1 z))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))

rewrite240.0ms (5.4%)

Memory
-9.0MiB live, 219.9MiB allocated; 53ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026151
038144
1138131
2898120
09666118
Stop Event
iter limit
node limit
iter limit
Counts
20 → 471
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))
(*.f64 (neg.f64 z) x)
(neg.f64 z)
z
x
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
y
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y)
(+.f64 #s(literal -1 binary64) (*.f64 z z))
#s(literal -1 binary64)
(*.f64 z z)
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
#s(approx (- 1 z) (neg.f64 z))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y)
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (- 1 z) x) (*.f64 z x))
(*.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) z)
(*.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) z)
(*.f64 (*.f64 x #s(literal 1 binary64)) z)
(*.f64 (*.f64 x #s(literal -1 binary64)) z)
(*.f64 (neg.f64 x) z)
(*.f64 (*.f64 z x) #s(literal -1 binary64))
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 z x))
(*.f64 z (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 z (*.f64 #s(literal 1 binary64) x))
(*.f64 z (*.f64 x #s(literal -1 binary64)))
(*.f64 z (neg.f64 x))
(*.f64 z x)
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 x z)
(neg.f64 (*.f64 z x))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (*.f64 z z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal 1 binary64))
(neg.f64 z)
(sqrt.f64 (*.f64 z z))
(fabs.f64 z)
(exp.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (*.f64 z z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal 1 binary64))
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(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (+.f64 y x))) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (*.f64 (+.f64 y x) (-.f64 x y)))) (*.f64 #s(approx (- 1 z) z) (+.f64 y x)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) #s(approx (- 1 z) z)) (/.f64 x (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(approx (- 1 z) z) x) x) #s(approx (- 1 z) z)) (/.f64 #s(approx (- 1 z) z) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- 1 z) z)) #s(approx (- 1 z) z)) (/.f64 (*.f64 (neg.f64 x) #s(approx (- 1 z) z)) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (fabs.f64 (*.f64 #s(approx (- 1 z) z) x)) #s(approx (- 1 z) z)) (/.f64 (fabs.f64 (*.f64 #s(approx (- 1 z) z) x)) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) #s(approx (- 1 z) z)) (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 #s(approx (- 1 z) z) x) #s(approx (- 1 z) z)) (/.f64 (*.f64 #s(approx (- 1 z) z) x) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 #s(approx (- 1 z) z) #s(approx (- 1 z) z)) (/.f64 (*.f64 (*.f64 #s(approx (- 1 z) z) x) x) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 x #s(approx (- 1 z) z)) (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(approx (- 1 z) z) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(approx (- 1 z) z)))
(fma.f64 #s(approx (- 1 z) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (*.f64 #s(approx (- 1 z) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(fma.f64 #s(approx (- 1 z) z) y (*.f64 (neg.f64 (neg.f64 x)) #s(approx (- 1 z) z)))
(fma.f64 #s(approx (- 1 z) z) y (*.f64 #s(approx (- 1 z) z) x))
(fma.f64 #s(approx (- 1 z) z) x (*.f64 (neg.f64 (neg.f64 y)) #s(approx (- 1 z) z)))
(fma.f64 #s(approx (- 1 z) z) x (*.f64 (neg.f64 y) (neg.f64 #s(approx (- 1 z) z))))
(fma.f64 #s(approx (- 1 z) z) x (*.f64 #s(approx (- 1 z) z) y))
(fma.f64 y #s(approx (- 1 z) z) (*.f64 (neg.f64 (neg.f64 x)) #s(approx (- 1 z) z)))
(fma.f64 y #s(approx (- 1 z) z) (*.f64 #s(approx (- 1 z) z) x))
(fma.f64 x #s(approx (- 1 z) z) (*.f64 (neg.f64 (neg.f64 y)) #s(approx (- 1 z) z)))
(fma.f64 x #s(approx (- 1 z) z) (*.f64 (neg.f64 y) (neg.f64 #s(approx (- 1 z) z))))
(fma.f64 x #s(approx (- 1 z) z) (*.f64 #s(approx (- 1 z) z) y))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 y x))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(-.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 (neg.f64 y) #s(approx (- 1 z) z)))
(-.f64 (*.f64 #s(approx (- 1 z) z) y) (*.f64 (neg.f64 x) #s(approx (- 1 z) z)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(approx (- 1 z) z)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(approx (- 1 z) z)))
(+.f64 (*.f64 #s(approx (- 1 z) z) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 #s(approx (- 1 z) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 3 binary64)) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x) (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) x) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) (/.f64 (neg.f64 (pow.f64 (*.f64 #s(approx (- 1 z) z) y) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))))
(+.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 (neg.f64 (neg.f64 y)) #s(approx (- 1 z) z)))
(+.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 (neg.f64 y) (neg.f64 #s(approx (- 1 z) z))))
(+.f64 (*.f64 #s(approx (- 1 z) z) x) (*.f64 #s(approx (- 1 z) z) y))
(+.f64 (*.f64 #s(approx (- 1 z) z) y) (*.f64 (neg.f64 (neg.f64 x)) #s(approx (- 1 z) z)))
(+.f64 (*.f64 #s(approx (- 1 z) z) y) (*.f64 #s(approx (- 1 z) z) x))
#s(approx (- 1 z) z)
(neg.f64 (neg.f64 #s(approx (- 1 z) z)))
(*.f64 #s(approx (- 1 z) z) y)
(*.f64 y #s(approx (- 1 z) z))
(neg.f64 (*.f64 (neg.f64 y) #s(approx (- 1 z) z)))

eval80.0ms (1.8%)

Memory
3.7MiB live, 151.7MiB allocated; 19ms collecting garbage
Compiler

Compiled 15 703 to 1 861 computations (88.1% saved)

prune16.0ms (0.4%)

Memory
-0.0MiB live, 46.7MiB allocated; 2ms collecting garbage
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New5365541
Fresh000
Picked134
Done145
Total53812550
Accuracy
100.0%
Counts
550 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
99.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
52.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
48.9%
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z)))
25.4%
#s(approx (* (+ x y) (- 1 z)) (/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
48.9%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
29.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
3.2%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
27.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
4.4%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
Compiler

Compiled 275 to 198 computations (28% saved)

simplify0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

series20.0ms (0.5%)

Memory
-7.5MiB live, 46.8MiB allocated; 6ms collecting garbage
Counts
22 → 43
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (- 1 z) x) (*.f64 z x))
(*.f64 z x)
z
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (- 1 z) y) (*.f64 z y))
(*.f64 z y)
#s(approx (* (+ x y) (- 1 z)) (/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
#s(approx (* (+ -1 (* z z)) y) (neg.f64 y))
(neg.f64 y)
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(fma.f64 z z #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) z)
Outputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x z)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y z)
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(* y (- (pow z 2) 1))
(* -1 y)
(* -1 (/ (* y (- (pow z 2) 1)) (+ 1 z)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
z
(+ y (* -1 (* y z)))
(+ (* -1 y) (* y (pow z 2)))
-1
(- (* -1 z) 1)
(- (pow z 2) 1)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(pow z 2)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
4.0ms
z
@0
((* (+ x y) (- 1 z)) (+ y x) y x (* (+ x y) (- 1 z)) (* (- 1 z) x) (* z x) z (* (+ x y) (- 1 z)) (* (- 1 z) y) (* z y) (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (neg y) (+ (* -1 z) -1) -1 (* (+ x y) (- 1 z)) (/ (* (+ (* z z) -1) y) (- -1 z)) (* (+ (* z z) -1) y) (+ (* z z) -1) (- -1 z))
4.0ms
z
@inf
((* (+ x y) (- 1 z)) (+ y x) y x (* (+ x y) (- 1 z)) (* (- 1 z) x) (* z x) z (* (+ x y) (- 1 z)) (* (- 1 z) y) (* z y) (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (neg y) (+ (* -1 z) -1) -1 (* (+ x y) (- 1 z)) (/ (* (+ (* z z) -1) y) (- -1 z)) (* (+ (* z z) -1) y) (+ (* z z) -1) (- -1 z))
3.0ms
y
@-inf
((* (+ x y) (- 1 z)) (+ y x) y x (* (+ x y) (- 1 z)) (* (- 1 z) x) (* z x) z (* (+ x y) (- 1 z)) (* (- 1 z) y) (* z y) (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (neg y) (+ (* -1 z) -1) -1 (* (+ x y) (- 1 z)) (/ (* (+ (* z z) -1) y) (- -1 z)) (* (+ (* z z) -1) y) (+ (* z z) -1) (- -1 z))
2.0ms
y
@inf
((* (+ x y) (- 1 z)) (+ y x) y x (* (+ x y) (- 1 z)) (* (- 1 z) x) (* z x) z (* (+ x y) (- 1 z)) (* (- 1 z) y) (* z y) (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (neg y) (+ (* -1 z) -1) -1 (* (+ x y) (- 1 z)) (/ (* (+ (* z z) -1) y) (- -1 z)) (* (+ (* z z) -1) y) (+ (* z z) -1) (- -1 z))
2.0ms
y
@0
((* (+ x y) (- 1 z)) (+ y x) y x (* (+ x y) (- 1 z)) (* (- 1 z) x) (* z x) z (* (+ x y) (- 1 z)) (* (- 1 z) y) (* z y) (* (+ x y) (- 1 z)) (/ (* (+ -1 (* z z)) y) (+ (* -1 z) -1)) (* (+ -1 (* z z)) y) (neg y) (+ (* -1 z) -1) -1 (* (+ x y) (- 1 z)) (/ (* (+ (* z z) -1) y) (- -1 z)) (* (+ (* z z) -1) y) (+ (* z z) -1) (- -1 z))

simplify184.0ms (4.2%)

Memory
28.3MiB live, 306.8MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100228
1345228
21038224
33370224
47999224
08002218
Stop Event
iter limit
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
y
(+ x y)
x
(* x (- 1 z))
(* x z)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y z)
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(* y (- (pow z 2) 1))
(* -1 y)
(* -1 (/ (* y (- (pow z 2) 1)) (+ 1 z)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (* -1 (* x z)))
z
(+ y (* -1 (* y z)))
(+ (* -1 y) (* y (pow z 2)))
-1
(- (* -1 z) 1)
(- (pow z 2) 1)
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* y (pow z 2))
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(pow z 2)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
Outputs
(* y (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* x (- 1 z)) (* y (- 1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
x
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x z)
(*.f64 z x)
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(* y z)
(*.f64 z y)
(/ (* y (- (pow z 2) 1)) (- (* -1 z) 1))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (fma.f64 z z #s(literal -1 binary64)))
(* y (- (pow z 2) 1))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* -1 (/ (* y (- (pow z 2) 1)) (+ 1 z)))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) z)) (fma.f64 z z #s(literal -1 binary64)))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
z
(+ y (* -1 (* y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(+ (* -1 y) (* y (pow z 2)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (* -1 z) 1)
(-.f64 #s(literal -1 binary64) z)
(- (pow z 2) 1)
(fma.f64 z z #s(literal -1 binary64))
(* -1 (* z (+ x y)))
(*.f64 (-.f64 (neg.f64 y) x) z)
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* y z))
(*.f64 (neg.f64 y) z)
(* z (+ (* -1 y) (/ y z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)
(* y (pow z 2))
(*.f64 (*.f64 z z) y)
(* (pow z 2) (+ y (* -1 (/ y (pow z 2)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(* -1 z)
(neg.f64 z)
(* -1 (* z (+ 1 (/ 1 z))))
(-.f64 #s(literal -1 binary64) z)
(pow z 2)
(*.f64 z z)
(* (pow z 2) (- 1 (/ 1 (pow z 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) z) z)) (*.f64 z z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (+ y (* -1 (/ y z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) y)

rewrite159.0ms (3.6%)

Memory
16.2MiB live, 247.9MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031171
042169
1145157
2986155
010106155
Stop Event
iter limit
node limit
iter limit
Counts
22 → 479
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(+.f64 y x)
y
x
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (- 1 z) x) (*.f64 z x))
(*.f64 z x)
z
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (- 1 z) y) (*.f64 z y))
(*.f64 z y)
#s(approx (* (+ x y) (- 1 z)) (/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
#s(approx (* (+ -1 (* z z)) y) (neg.f64 y))
(neg.f64 y)
(fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) y)
(fma.f64 z z #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) z)
Outputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))) (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (-.f64 x y)))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 x y)))
(neg.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (- 1 z) x) (*.f64 z x))
(*.f64 (*.f64 x #s(literal -1 binary64)) z)
(*.f64 (*.f64 x #s(literal 1 binary64)) z)
(*.f64 #s(literal -1 binary64) (*.f64 z x))
(*.f64 (*.f64 z x) #s(literal -1 binary64))
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal -1 binary64) x))
(*.f64 z (*.f64 #s(literal 1 binary64) x))
(*.f64 z x)
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 x z)
(neg.f64 (*.f64 z x))
(*.f64 (pow.f64 z #s(literal 1/2 binary64)) (pow.f64 z #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) z)
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (sqrt.f64 #s(literal -1 binary64)))
(*.f64 z #s(literal -1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) z)
(pow.f64 (*.f64 z z) #s(literal 1/2 binary64))
(pow.f64 z #s(literal 1 binary64))
(neg.f64 z)
(sqrt.f64 (*.f64 z z))
(fabs.f64 z)
(exp.f64 (/.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
z
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (- 1 z) y) (*.f64 z y))
(*.f64 (*.f64 y #s(literal 1 binary64)) z)
(*.f64 (*.f64 y #s(literal -1 binary64)) z)
(*.f64 #s(literal -1 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal -1 binary64))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z (*.f64 #s(literal 1 binary64) y))
(*.f64 z (neg.f64 y))
(*.f64 z y)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 y z)
(neg.f64 (*.f64 z y))
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eval83.0ms (1.9%)

Memory
-28.6MiB live, 221.7MiB allocated; 24ms collecting garbage
Compiler

Compiled 15 078 to 1 968 computations (86.9% saved)

prune27.0ms (0.6%)

Memory
11.2MiB live, 56.3MiB allocated; 4ms collecting garbage
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New5441545
Fresh000
Picked235
Done077
Total54611557
Accuracy
100.0%
Counts
557 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
99.9%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
52.3%
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
53.1%
#s(approx (* (+ x y) (- 1 z)) (fma.f64 z (neg.f64 y) (*.f64 y #s(literal 1 binary64))))
48.9%
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
53.1%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
50.3%
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
29.3%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
3.2%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
27.0%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
4.4%
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
Compiler

Compiled 427 to 188 computations (56% saved)

regimes32.0ms (0.7%)

Memory
15.9MiB live, 61.1MiB allocated; 5ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
#s(approx (* (+ x y) (- 1 z)) (fma.f64 z (neg.f64 y) (*.f64 y #s(literal 1 binary64))))
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 #s(literal 1 binary64) z) y))
#s(approx (* (+ x y) (- 1 z)) (/.f64 #s(approx (* (+ -1 (* z z)) y) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) z)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
#s(approx (* (+ x y) (- 1 z)) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) y) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 z z))) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

7.0ms
y
5.0ms
x
5.0ms
z
5.0ms
(+.f64 x y)
5.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
100.0%1(-.f64 #s(literal 1 binary64) z)
100.0%1(+.f64 x y)
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes36.0ms (0.8%)

Memory
-11.5MiB live, 32.4MiB allocated; 6ms collecting garbage
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(*.f64 (+.f64 x y) #s(approx (- 1 z) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z)))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
Calls

6 calls:

21.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(+.f64 x y)
3.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
97.7%3(-.f64 #s(literal 1 binary64) z)
98.5%2(+.f64 x y)
85.1%4(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
83.4%2x
83.8%2y
97.7%3z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes66.0ms (1.5%)

Memory
-3.4MiB live, 56.5MiB allocated; 20ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Calls

6 calls:

54.0ms
x
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
y
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
70.1%3(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
66.6%2x
70.3%4y
77.0%4(-.f64 #s(literal 1 binary64) z)
77.0%4z
77.5%3(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes12.0ms (0.3%)

Memory
-12.2MiB live, 27.7MiB allocated; 13ms collecting garbage
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))
Calls

3 calls:

2.0ms
z
2.0ms
(+.f64 x y)
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
75.0%3(-.f64 #s(literal 1 binary64) z)
75.0%3z
59.8%5(+.f64 x y)
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes4.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
Outputs
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))
Calls

2 calls:

2.0ms
z
2.0ms
(-.f64 #s(literal 1 binary64) z)
Results
AccuracySegmentsBranch
72.6%3(-.f64 #s(literal 1 binary64) z)
72.6%3z
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes13.0ms (0.3%)

Memory
-6.1MiB live, 35.6MiB allocated; 7ms collecting garbage
Accuracy

Total -30.5b remaining (-93.4%)

Threshold costs -30.5b (-93.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 z x)))
#s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 z y)))
Outputs
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Calls

6 calls:

5.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(+.f64 x y)
1.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
48.9%1(+.f64 x y)
48.9%1x
48.9%1y
48.9%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
48.9%1(-.f64 #s(literal 1 binary64) z)
48.9%1z
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.6207298505317823e-215
5.61881783061712e-223
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.0646568429918224e+239
4.57036299702874e+239
0.0ms
5.61881783061712e-223
4.7362077452697153e-219
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch58.0ms (1.3%)

Memory
-31.6MiB live, 77.1MiB allocated; 12ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
0.0007277297069127014
28110.290517773374
13.0ms
-136059688768959540.0
-8365726909.477913
Samples
45.0ms288×0valid
Compiler

Compiled 532 to 427 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-add: 34.0ms (89.6% of total)
ival-mult: 2.0ms (5.3% of total)
ival-sub: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
9.2MiB live, 9.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0007277297069127014
28110.290517773374
11.0ms
-8180.39617959505
-7.15013410185222e-6
Samples
6.0ms144×0valid
Compiler

Compiled 532 to 427 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (37.7% of total)
ival-add: 1.0ms (37.7% of total)
ival-mult: 1.0ms (37.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify17.0ms (0.4%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043180
163180
276180
393180
4116180
5145180
6165180
7197180
8215180
9235180
10245180
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal 6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 399999999999999996324716581752882681186826488658530749815121170008622962887880770404488261903867045192350397042629150511548069724677888376941810732922867305630249938376660928541198947375164552351932087085608365832224478305747793336091017216 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x))))
(if (<=.f64 z #s(literal -8500000000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))
(if (<=.f64 z #s(literal -31 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -7762590461503545/388129523075177233787244872115625638814221504279174152784763009506512738171594221582719602207161619487621932674282768301542895011028703597861071818760295284801113744005212476387566321407899611206315749798429117187723211713454014464 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(if (<=.f64 (+.f64 x y) #s(literal 6511732844609233/6511732844609232689531105264376228317524178049136629062886970519300817615056281319845148633663627237053642490813899648872938282865350942461292339894854326216889802323744154842249099888585755883524379898570201759747744871130348106729652224 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 (+.f64 x y) #s(literal 399999999999999996324716581752882681186826488658530749815121170008622962887880770404488261903867045192350397042629150511548069724677888376941810732922867305630249938376660928541198947375164552351932087085608365832224478305747793336091017216 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x))))
(if (<=.f64 z #s(literal -8500000000 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y)))))
(if (or (<=.f64 z #s(literal -8500000000 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) y) (*.f64 (neg.f64 z) y))) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)))
(if (<=.f64 z #s(literal -31 binary64)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x)))))
(if (or (<=.f64 z #s(literal -31 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) #s(approx (* (+ x y) (- 1 z)) #s(approx (* (- 1 z) x) (*.f64 (neg.f64 z) x))) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)))
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x))

derivations606.0ms (13.7%)

Memory
0.4MiB live, 626.2MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065124
1220123
2773123
32468123
46395123
08148123
086175
1300171
2864171
32688171
45978171
08023171
096226
1332225
21041222
33370222
47984222
08330217
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 180 to 45 computations (75% saved)

preprocess78.0ms (1.8%)

Memory
-16.9MiB live, 75.4MiB allocated; 6ms collecting garbage
Remove

(sort x y)

Compiler

Compiled 402 to 132 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...